- Last update: Nov 18, 2024 - Found by Torbjörn Granlund Nov 18, 2024 n = 2388: 30839997133023404987314306863618048001 P-1: B1 = 1e9 Nov 18, 2024 n = 2442: 49456490287679221045707935346512906387197 P-1: B1 = 1e9 Nov 18, 2024 n = 2738: 961583576338166687686823020221823 P-1: B1 = 1e9 Nov 18, 2024 n = 2770: 1269913878336593802382585415846565761 P-1: B1 = 1e9 Nov 18, 2024 n = 2896: 46186243200327796436048713490806993 P-1: B1 = 1e9 Nov 18, 2024 n = 3164: 34453877927677573724583746662925863572929 P-1: B1 = 1e9 Nov 18, 2024 n = 4032: 1149577083859947625594601713224390529 P-1: B1 = 1e9 Nov 18, 2024 n = 4154: 24885676845841029876280206797458941379223 P-1: B1 = 1e9 Nov 18, 2024 n = 4336: 120503097025934614225984117089275131153 P-1: B1 = 1e8 Nov 18, 2024 n = 4746: 566256935791593456102477071486505601 P-1: B1 = 1e9 Nov 18, 2024 n = 4748: 11008452797970068679277520033958689 P-1: B1 = 1e8 Nov 18, 2024 n = 5242: 643083186967699780266670713918928931 P-1: B1 = 1e8 Nov 18, 2024 n = 5278: 10557304966503810141196212383472343369213 P-1: B1 = 1e9 Nov 18, 2024 n = 5476: 39704605233301365544142402346649 P-1: B1 = 1e8 Nov 18, 2024 n = 5612: 5200572835917560280870095774827921 P-1: B1 = 1e8 Nov 18, 2024 n = 5676: 60010660555308299243971058378689609 P-1: B1 = 1e9 Nov 18, 2024 n = 5746: 28742894780382677995250968097648752463 P-1: B1 = 1e8 Nov 18, 2024 n = 5842: 611259099144640384957656663318759207463 P-1: B1 = 1e6 Nov 18, 2024 n = 5888: 5190431816856039227338578055761409 P-1: B1 = 1e8 Nov 18, 2024 n = 5910: 37578013293914885440756732730401 P-1: B1 = 1e9 Nov 18, 2024 n = 5934: 246889735346482803823124949695587412078539 P-1: B1 = 1e9 Nov 18, 2024 n = 5970: 111645105744695543769378129533591929201 P-1: B1 = 1e9 Nov 18, 2024 n = 6006: 1127405843603847671204058787760709019 P-1: B1 = 1e9 Nov 18, 2024 n = 6048: 27463289803537363527885340451375058863041 P-1: B1 = 1e9 Nov 18, 2024 n = 6176: 2593760010604408630401448600207562593 P-1: B1 = 1e8 Nov 18, 2024 n = 6390: 9896646236002933822798196874660931 P-1: B1 = 1e9 Nov 18, 2024 n = 6456: 197390459653772512675213065371018917260960721 P-1: B1 = 1e8 Nov 18, 2024 n = 6486: 4759976125582735881156140675266005188887 P-1: B1 = 1e9 Nov 18, 2024 n = 7052: 4608158402387156248919515491038699029 P-1: B1 = 1e8 Nov 18, 2024 n = 7232: 8114613370481922230652951941118288294977 P-1: B1 = 1e8 Nov 18, 2024 n = 7308: 4452278235642219158759369430433189 P-1: B1 = 1e9 Nov 18, 2024 n = 7698: 680967535797761329479818305375688058373 P-1: B1 = 1e8 Nov 18, 2024 n = 8246: 24749806404758076780332504664299816455649 P-1: B1 = 1e8 Nov 18, 2024 n = 8302: 24847902339257338205683745064387481 P-1: B1 = 1e8 Nov 18, 2024 n = 8370: 727277354166367703302208465230580401 P-1: B1 = 1e7 Nov 18, 2024 n = 8498: 658795774320753696940038361251296983 P-1: B1 = 1e8 Nov 18, 2024 n = 8610: 5004844858427955006137433437029141894459256983171 P-1: B1 = 1e9 Nov 18, 2024 n = 8828: 908048334163502127235157462720849 P-1: B1 = 1e8 Nov 18, 2024 n = 8886: 4610799943809342524332325125122139 P-1: B1 = 1e8 Nov 18, 2024 n = 9278: 178967609457260723734945736769930758491 P-1: B1 = 1e8 Nov 18, 2024 n = 9500: 1389276995921038490276012693684170501 P-1: B1 = 1e9 Nov 18, 2024 n = 9602: 15207616059867348952985702076478757 P-1: B1 = 1e7 Nov 18, 2024 n = 9656: 315444077393162364745161425645089 P-1: B1 = 1e8 Nov 18, 2024 n = 9666: 12855978003019647537974939713465431265165477 P-1: B1 = 1e7 Nov 18, 2024 n = 9930: 61671228916866667209759217595104005501763171 P-1: B1 = 1e8 Nov 18, 2024 n = 9942: 43467985151114679005547700224343 P-1: B1 = 1e8 Nov 18, 2024 n =10488: 287374954797570518269388577100751017 P-1: B1 = 1e8 Nov 18, 2024 n =10658: 20691076470793661181542957533 P-1: B1 = 1e8 Nov 18, 2024 n =10814: 4024882991335789017910299401112406279032157 P-1: B1 = 1e8 Nov 18, 2024 n =11214: 1627099537708421295488917956882995216738329 P-1: B1 = 1e8 Nov 18, 2024 n =11630: 174128888010298790779720344400493016890949851 P-1: B1 = 1e8 Nov 18, 2024 n =11682: 42819917640216465507294153124177263691957 P-1: B1 = 1e8 Nov 18, 2024 n =11702: 35659510626055479151905581947019 P-1: B1 = 1e8 Nov 18, 2024 n =11798: 771444069344282691412094893770299087 P-1: B1 = 1e8 Nov 18, 2024 n =11810: 3374803948069233657246676428211 P-1: B1 = 1e8 Nov 18, 2024 n =12690: 137575581863383286618080444161841 P-1: B1 = 1e7 Nov 18, 2024 n =13464: 3269715600000850288606774756873 P-1: B1 = 1e7 Nov 18, 2024 n =13740: 1548452449774981487124114738255451081759501 P-1: B1 = 1e9 Nov 18, 2024 n =14234: 2151794470154731199911566897889901567 P-1: B1 = 1e8 Nov 18, 2024 n =14402: 3395246939013047559825870109666696331 P-1: B1 = 1e7 Nov 18, 2024 n =14712: 189406563350567423601791210549970073 P-1: B1 = 1e8 Nov 18, 2024 n =14744: 14277904858100191941756199650929 P-1: B1 = 1e6 Nov 18, 2024 n =14892: 2079392210786906583659785328450330461 P-1: B1 = 1e8 Nov 18, 2024 n =15238: 5731595372087037824234893121 P-1: B1 = 1e7 Nov 18, 2024 n =15318: 1229012880303385954419155875783 P-1: B1 = 1e7 Nov 18, 2024 n =15370: 1667014347124004912178088065636721 P-1: B1 = 1e7 Nov 18, 2024 n =15392: 239415107968342305240235441409 P-1: B1 = 1e7 Nov 18, 2024 n =15562: 4826088623169168098832958142188637 P-1: B1 = 1e6 Nov 18, 2024 n =15804: 1898300805512526704694359881 P-1: B1 = 1e7 Nov 18, 2024 n =15862: 36530183445954827944549810076117 P-1: B1 = 1e7 Nov 18, 2024 n =15888: 45502340134172462287114845715057 P-1: B1 = 1e8 Nov 18, 2024 n =15924: 560073201418766239105754045955002716009 P-1: B1 = 1e8 Nov 18, 2024 n =16028: 53469438971172405641464482200929 P-1: B1 = 1e6 Nov 18, 2024 n =16038: 1376526137506499047899570858595400419 P-1: B1 = 1e8 Nov 18, 2024 n =16488: 14410637565324152730789889 P-1: B1 = 1e7 Nov 18, 2024 n =16560: 159287226231413970347326561 P-1: B1 = 1e7 Nov 18, 2024 n =16722: 4394595902339685132940987171 P-1: B1 = 1e7 Nov 18, 2024 n =16822: 9740166824765577309862169 P-1: B1 = 1e7 Nov 18, 2024 n =16828: 10477431663972441052746002292649 P-1: B1 = 1e7 Nov 18, 2024 n =17010: 50621935015761465614958084132091 P-1: B1 = 1e7 Nov 18, 2024 n =17022: 37644083708680825738427567701369 P-1: B1 = 1e8 Nov 18, 2024 n =17050: 8078109936717326780557734001 P-1: B1 = 1e7 Nov 18, 2024 n =17098: 16463155407829534621460504529887 P-1: B1 = 1e6 Nov 18, 2024 n =17208: 6533031042598722528390472477334385527580001 P-1: B1 = 1e8 Nov 18, 2024 n =17248: 525228098136988412500970239410509473 P-1: B1 = 1e6 Nov 18, 2024 n =17302: 2273909772621090032319456103 P-1: B1 = 1e7 Nov 18, 2024 n =17328: 6931065797831945307392334049 P-1: B1 = 1e7 Nov 18, 2024 n =17526: 779639506416144466327250239406401 P-1: B1 = 1e8 Nov 18, 2024 n =17588: 14855343049146052775095167601 P-1: B1 = 1e7 Nov 18, 2024 n =17628: 1687037625132951509072929 P-1: B1 = 1e7 Nov 18, 2024 n =17712: 5203915699038722059111489 P-1: B1 = 1e7 Nov 18, 2024 n =17768: 5226487155193245474030477521 P-1: B1 = 1e7 Nov 18, 2024 n =17842: 29501729355362438190395567 P-1: B1 = 1e7 Nov 18, 2024 n =18040: 1819661811025550271298810671855079441 P-1: B1 = 1e8 Nov 18, 2024 n =18090: 96375212967008103876091 P-1: B1 = 1e6 Nov 18, 2024 n =18224: 24349529357003116699932975521 P-1: B1 = 1e6 Nov 18, 2024 n =18448: 1301304643418538210621368512129 P-1: B1 = 1e7 Nov 18, 2024 n =18456: 9886770903035092853593001371393030769919121 P-1: B1 = 1e8 Nov 18, 2024 n =18530: 6313775540419270536811811 P-1: B1 = 1e6 Nov 18, 2024 n =18744: 21436091543942058367910400073 P-1: B1 = 1e6 Nov 18, 2024 n =18950: 530844533904549991939648601 P-1: B1 = 1e7 Nov 18, 2024 n =19082: 2360879607556819530149067517810283641 P-1: B1 = 1e6 Nov 18, 2024 n =19086: 417348818736070836256064980080164983 P-1: B1 = 1e8 Nov 18, 2024 n =19322: 61083757027408257997360971533 P-1: B1 = 1e7 Nov 18, 2024 n =19332: 1728427915141191848623821949 P-1: B1 = 1e7 Nov 18, 2024 n =19336: 1085564316404443310310485998777 P-1: B1 = 1e7 Nov 18, 2024 n =19440: 91764153360544926880194996535201 P-1: B1 = 1e7 Nov 18, 2024 n =19476: 476746985409136101272620112643001 P-1: B1 = 1e8 Nov 18, 2024 n =19600: 936733721876058671317016174401 P-1: B1 = 1e7 Nov 18, 2024 n =19642: 37677953735792038920592727 P-1: B1 = 1e7Correction find out by Makoto Kamada
false:Nov 16, 2024 n =12296: 86426983626665652269725227649; correct: Nov 16, 2024 n =16296: 86426983626665652269725227649; - Found by Torbjörn Granlund Nov 16, 2024 n = 2604: 24448546850113917037786674257956049252521; ecm: B1 = 1e6 Nov 16, 2024 n = 2916: 4195814654151937120330327975639201; ecm: B1 = 1e6 Nov 16, 2024 n = 2970: 690282702009816065768196407742211; ecm: B1 = 1e6 Nov 16, 2024 n = 3162: 134910124895643680784194263388480883007609; ecm: B1 = 1e6 Nov 16, 2024 n = 3570: 25865722661111109914481075964342795441; ecm: B1 = 1e6 Nov 16, 2024 n = 2192: 22697864788706004146519819933242976609; ecm: B1 = 1e6 Nov 16, 2024 n = 2342: 49299730037908119786764739353618327; ecm: B1 = 1e6 Nov 16, 2024 n = 3110: 28035951049347859956384327321687704851; ecm: B1 = 1e6 Nov 16, 2024 n = 3496: 2432060640329428482194730414131113; ecm: B1 = 2.5e5 Nov 16, 2024 n = 3706: 88735662850196739797693338555620259; ecm: B1 = 5e5 Nov 16, 2024 n = 4114: 52609226627306010745333111068274343; ecm: B1 = 5e5 Nov 16, 2024 n = 4268: 280154685995581059221433954462109; ecm: B1 = 1e6 Nov 16, 2024 n = 4458: 318843739793503408108159272791503; ecm: B1 = 1e6 Nov 16, 2024 n = 4488: 354638747142779622617897664545205355417; ecm: B1 = 1e6 Nov 16, 2024 n =4620M: 391165830331081935356094833268262692283321; ecm: B1 = 3e6 Nov 16, 2024 n = 4712: 148171581742857600717643876024801; ecm: B1 = 1e6 Nov 16, 2024 n = 4756: 95352041920513968713795611265741; ecm: B1 = 1e6 Nov 16, 2024 n = 5028: 93687467337623351797267989687273857859361; ecm: B1 = 2.5e5 Nov 16, 2024 n = 5104: 6375049854966150323090311653281; ecm: B1 = 1e6 Nov 16, 2024 n = 5562: 1675166469754979318318966655391573062632681050411; ecm: B1 = 5e5 Nov 16, 2024 n = 5584: 3490922673200692730234939992961; ecm: B1 = 1e6 Nov 16, 2024 n = 5718: 1546465965707343370500722733355870823023; ecm: B1 = 5e5 Nov 16, 2024 n = 5726: 270439634555423977654733043208901161; ecm: B1 = 5e5 Nov 16, 2024 n = 5792: 2481725917682043318986617115873; ecm: B1 = 5e5 Nov 16, 2024 n = 5852: 44850747452221536403435503888089; ecm: B1 = 1e6 Nov 16, 2024 n = 6278: 6740793551471253406606942970921183; ecm: B1 = 2.5e5 Nov 16, 2024 n = 6438: 1286086381532881761631010370196549201; ecm: B1 = 2.5e5 Nov 16, 2024 n = 6536: 1775209233038246078828291007421337; ecm: B1 = 1e6 Nov 16, 2024 n = 6670: 4963082191798150637820060861662561; ecm: B1 = 1e6 Nov 16, 2024 n = 7090: 568771060529228349938490987697721; ecm: B1 = 5e5 Nov 16, 2024 n = 7312: 10119007661569323615826076623009; ecm: B1 = 5e5 Nov 16, 2024 n = 7342: 3059346759646825975141748361824956517; ecm: B1 = 1e5 Nov 16, 2024 n = 7422: 14776241343822319590361898631133; ecm: B1 = 1e5 Nov 16, 2024 n = 7874: 6607467708901962419025297081737761249601; ecm: B1 = 5e5 Nov 16, 2024 n = 7918: 29466805352305404977974596605386651; ecm: B1 = 5e5 Nov 16, 2024 n = 8176: 2931483180150892088295038024449; ecm: B1 = 2.5e5 Nov 16, 2024 n = 8226: 198195508972868055641231971076246099449; ecm: B1 = 5e5 Nov 16, 2024 n = 8272: 26860356253353129182987114159855489; ecm: B1 = 5e5 Nov 16, 2024 n = 8296: 13952265865824379919786738885136937; ecm: B1 = 1e6 Nov 16, 2024 n = 8410: 1666185659584144442885553966342654061809451; ecm: B1 = 1e6 Nov 16, 2024 n = 8504: 26644578023188204357380507022124180965433; ecm: B1 = 5e5 Nov 16, 2024 n = 8656: 865588623131698184950812116593; ecm: B1 = 5e5 Nov 16, 2024 n = 8734: 4623381423183970412975545037921; ecm: B1 = 1e5 Nov 16, 2024 n = 8736: 52866958603164277225413781258884193; ecm: B1 = 1e6 Nov 16, 2024 n = 8764: 4515114965644660959626141751170021; ecm: B1 = 5e5 Nov 16, 2024 n = 8866: 2177860289102579516374524848693; ecm: B1 = 5e5 Nov 16, 2024 n = 8910: 296612839453782466705709405330136451; ecm: B1 = 5e5 Nov 16, 2024 n = 9016: 42256126489094363510123459600153; ecm: B1 = 5e5 Nov 16, 2024 n = 9028: 1464758504041686136002192290225809; ecm: B1 = 5e5 Nov 16, 2024 n = 9042: 86778193639335707300180875246597; ecm: B1 = 1e6 Nov 16, 2024 n = 9290: 100408285641455848359633351464742841; ecm: B1 = 5e5 Nov 16, 2024 n = 9384: 22817517429241759831682085255337; ecm: B1 = 1e5 Nov 16, 2024 n = 9416: 335040615412148390577192870137; ecm: B1 = 5e5 Nov 16, 2024 n = 9476: 111032467520745186412085016022501001; ecm: B1 = 2.5e5 Nov 16, 2024 n = 9642: 31574122623080342748374740637533447; ecm: B1 = 1e6 Nov 16, 2024 n = 9678: 1965882483203529879660380424472459; ecm: B1 = 5e5 Nov 16, 2024 n = 9758: 21444211120295385972789535602419; ecm: B1 = 5e5 Nov 16, 2024 n = 9772: 74915436117173227002352013241469; ecm: B1 = 5e5 Nov 16, 2024 n = 9938: 12885729436820377182691483828182623; ecm: B1 = 1e6 Nov 16, 2024 n =10024: 73824261337791943727420399969977; ecm: B1 = 5e5 Nov 16, 2024 n =10136: 1250563890967936376520370627523257; ecm: B1 = 2.5e5 Nov 16, 2024 n =10138: 25608258703071667568105205956809147133; ecm: B1 = 1e5 Nov 16, 2024 n =10320: 29768847245696641373030027581441; ecm: B1 = 1e6 Nov 16, 2024 n =10402: 36206121470408003902670552797; ecm: B1 = 5e5 Nov 16, 2024 n =10406: 36681078089170920840417698299; ecm Nov 16, 2024 n =10440: 199596062698660731812098984778161; ecm: B1 = 1e6 Nov 16, 2024 n =10472: 282670477292048196738936635804873; ecm: B1 = 1e6 Nov 16, 2024 n =10480: 2802810330363381786539817366881; ecm: B1 = 2.5e5 Nov 16, 2024 n =10480: 6629779694691625657435026103453921; ecm: B1 = 2.5e5 Nov 16, 2024 n =10506: 67820437322889292482243257383; ecm: B1 = 2.5e5 Nov 16, 2024 n =10536: 444414420704301489917273627599489; ecm: B1 = 1e5 Nov 16, 2024 n =10578: 13996471563941380413696864629042527; ecm: B1 = 5e5 Nov 16, 2024 n =10650: 3053503133839300328295837015091801; ecm: B1 = 5e5 Nov 16, 2024 n =10718: 119670649951726278420161541533253173; ecm: B1 = 1e6 Nov 16, 2024 n =10798: 669674476616131953456956036303; ecm: B1 = 5e5 Nov 16, 2024 n =10818: 1434404523925979355327831397; ecm: B1 = 5e5 Nov 16, 2024 n =10842: 13729128856658695075888233397; ecm: B1 = 5e5 Nov 16, 2024 n =10936: 27711473863192880106060060189378553; ecm: B1 = 2.5e5 Nov 16, 2024 n =11016: 1109026080822830514639500391019201; ecm: B1 = 2.5e5 Nov 16, 2024 n =11024: 332579999513366769784850650577; ecm: B1 = 1e6 Nov 16, 2024 n =11040: 9006198100013090328398440321; ecm: B1 = 5e5 Nov 16, 2024 n =11040: 20847280586087471498290675201; ecm: B1 = 2.5e5 Nov 16, 2024 n =11202: 21907187823972771337194302757607; ecm: B1 = 1e6 Nov 16, 2024 n =11390: 17153230689231584649837649841; ecm: B1 = 2.5e5 Nov 16, 2024 n =11488: 133128234562132983277422982690212289; ecm: B1 = 5e5 Nov 16, 2024 n =11496: 214667979267639381575151369409; ecm: B1 = 1e6 Nov 16, 2024 n =11528: 42080380078316924098145628073; ecm: B1 = 2.5e5 Nov 16, 2024 n =11542: 43839848215897989300615748597; ecm: B1 = 2.5e5 Nov 16, 2024 n =11544: 154543556543181065980759137858553; ecm: B1 = 1e6 Nov 16, 2024 n =11564: 5984418359912710034809254001; ecm Nov 16, 2024 n =11632: 851720552623604512729686194287009; ecm: B1 = 2.5e5 Nov 16, 2024 n =11662: 42418529436229745362507033787453; ecm: B1 = 5e5 Nov 16, 2024 n =11690: 7904462718373304246181590624081; ecm: B1 = 1e5 Nov 16, 2024 n =11730: 390981032853677597062360545691; ecm: B1 = 2.5e5 Nov 16, 2024 n =11738: 2019331313420157569012277087539; ecm: B1 = 5e5 Nov 16, 2024 n =11774: 314845215303602953133267485366601; ecm: B1 = 2.5e5 Nov 16, 2024 n =11776: 130565509284503661354753782273; ecm: B1 = 5e5 Nov 16, 2024 n =11786: 31787967714422217319600477; ecm: B1 = 1e5 Nov 16, 2024 n =11914: 706203981344402422660622425993237; ecm: B1 = 2.5e5 Nov 16, 2024 n =11928: 972115965253491672413654066689; ecm: B1 = 5e5 Nov 16, 2024 n =12018: 24048873394995562522191060997; ecm Nov 16, 2024 n =12034: 67642725084977763442937627551481; ecm: B1 = 1e6 Nov 16, 2024 n =12080: 225705841967550450973642605281; ecm: B1 = 5e5 Nov 16, 2024 n =12124: 1248642798157518166292531877996601; ecm: B1 = 2.5e5 Nov 16, 2024 n =12194: 2878875581137649191245362032091; ecm: B1 = 5e5 Nov 16, 2024 n =12234: 692282787828675733331172926430967; ecm: B1 = 1e6 Nov 16, 2024 n =12610: 538234799606924316896497112291; ecm: B1 = 5e5 Nov 16, 2024 n =12636: 269056522286959441805146114129; ecm: B1 = 2.5e5 Nov 16, 2024 n =12722: 18433098563529181172365303197691; ecm: B1 = 5e5 Nov 16, 2024 n =12748: 3311832982798520008911409821589; ecm: B1 = 5e4 Nov 16, 2024 n =12768: 4551383393875377064140138685249; ecm: B1 = 1e6 Nov 16, 2024 n =12782: 326347601544518914374612227376209; ecm: B1 = 1e6 Nov 16, 2024 n =12788: 1435709494292762635483332775841; ecm: B1 = 1e6 Nov 16, 2024 n =12842: 9006669323727909767286426197; ecm: B1 = 2.5e5 Nov 16, 2024 n =12880: 27952092506826619737096937601; ecm: B1 = 2.5e5 Nov 16, 2024 n =12880: 84537643288109619097286339932481; ecm Nov 16, 2024 n =12894: 234727238099089060112103037; ecm: B1 = 2.5e5 Nov 16, 2024 n =12896: 5005818621047576360540553669909682337; ecm: B1 = 1e6 Nov 16, 2024 n =12930: 51620027637650204736344569947157441; ecm: B1 = 2.5e5 Nov 16, 2024 n =12958: 30493145644837246434700876349969; ecm: B1 = 5e5 Nov 16, 2024 n =12996: 101344338278189772667549201; ecm: B1 = 5e5 Nov 16, 2024 n =13024: 241019581721193052208099329; ecm: B1 = 5e4 Nov 16, 2024 n =13160: 10399560941239009589202858696551281; ecm: B1 = 2.5e5 Nov 16, 2024 n =13266: 8400723629806519924849958093995693; ecm: B1 = 1e5 Nov 16, 2024 n =13310: 13404997029935255925004241479921; ecm: B1 = 1e5 Nov 16, 2024 n =13320: 66361568276849539952469235681; ecm: B1 = 2.5e5 Nov 16, 2024 n =13392: 26232818720187931375631356397835217; ecm: B1 = 1e6 Nov 16, 2024 n =13426: 20541281909723984638470049269049; ecm: B1 = 5e5 Nov 16, 2024 n =13454: 3032523894813796341541882541929; ecm: B1 = 5e5 Nov 16, 2024 n =13492: 853895375502126821508240245161; ecm: B1 = 5e5 Nov 16, 2024 n =13496: 770094742824181876075570185521; ecm: B1 = 1e5 Nov 16, 2024 n =13786: 105165018454783366906467915089; ecm: B1 = 2.5e5 Nov 16, 2024 n =13842: 124627418621257081726371384412601527; ecm: B1 = 1e6 Nov 16, 2024 n =13938: 4427113289495605428225554948023; ecm: B1 = 5e5 Nov 16, 2024 n =14056: 431255299688076877105081009251235201; ecm: B1 = 1e6 Nov 16, 2024 n =14064: 21245882682636993989106780433; ecm: B1 = 2.5e5 Nov 16, 2024 n =14124: 1297277772932505851539328095119169; ecm: B1 = 5e5 Nov 16, 2024 n =14152: 3361952297019359757554116873; ecm: B1 = 5e5 Nov 16, 2024 n =14170: 2511591657546754721042285332841; ecm: B1 = 2.5e5 Nov 16, 2024 n =14176: 1516059613366139561595263956481; ecm: B1 = 2.5e5 Nov 16, 2024 n =14198: 1913059137030898792636503157; ecm: B1 = 1e5 Nov 16, 2024 n =14224: 828717425209303089487305401645761; ecm: B1 = 5e5 Nov 16, 2024 n =14240: 404002712055519493954443521; ecm: B1 = 2.5e5 Nov 16, 2024 n =14366: 11740030300229508820141845617779; ecm: B1 = 1e6 Nov 16, 2024 n =14370: 1377663399126809063549171681131; ecm: B1 = 5e5 Nov 16, 2024 n =14376: 3004772510257772818187427201217921; ecm: B1 = 1e6 Nov 16, 2024 n =14394: 229267027003298432379891714329533; ecm: B1 = 1e6 Nov 16, 2024 n =14400: 34452548147600267070268801; ecm: B1 = 2.5e5 Nov 16, 2024 n =14436: 1566885269716288671740953637269; ecm: B1 = 2.5e5 Nov 16, 2024 n =14446: 1464507953996332757755951247; ecm: B1 = 5e5 Nov 16, 2024 n =14446: 3865571383335063860376937301783; ecm: B1 = 2.5e5 Nov 16, 2024 n =14452: 26838459182879846059864897808501; ecm: B1 = 1e5 Nov 16, 2024 n =14456: 1767619128995256227118639017; ecm: B1 = 5e5 Nov 16, 2024 n =14554: 135336386823049038099304642480757; ecm: B1 = 2.5e5 Nov 16, 2024 n =14670: 104640352044654413219714960446531; ecm: B1 = 2.5e5 Nov 16, 2024 n =14720: 251180046864709520196696779361281; ecm: B1 = 5e5 Nov 16, 2024 n =14758: 211563917185306057204172594413; ecm: B1 = 2.5e5 Nov 16, 2024 n =14778: 704793176185448510948224583492504811841; ecm: B1 = 2.5e5 Nov 16, 2024 n =14804: 136668773910075171760938072041341; ecm: B1 = 5e5 Nov 16, 2024 n =14814: 4200414975085449674046138444703; ecm: B1 = 2.5e5 Nov 16, 2024 n =14840: 92489237599328406977461441; ecm: B1 = 1e5 Nov 16, 2024 n =14988: 4554051187384079436518092294261; ecm: B1 = 2.5e5 Nov 16, 2024 n =15036: 1718261553014792273409364122984361; ecm: B1 = 5e5 Nov 16, 2024 n =15044: 1589311786347105358080229081; ecm: B1 = 5e5 Nov 16, 2024 n =15048: 20976332822310082894904905921; ecm: B1 = 1e5 Nov 16, 2024 n =15110: 646490920735696141052743321051; ecm: B1 = 5e5 Nov 16, 2024 n =15114: 12833935819657299441456979130269801; ecm: B1 = 5e5 Nov 16, 2024 n =15274: 21602917490324077152062234920007; ecm: B1 = 5e5 Nov 16, 2024 n =15320: 72694853200189837533769625180274001; ecm: B1 = 2.5e5 Nov 16, 2024 n =15330: 119074877094181756818017595481; ecm: B1 = 2.5e5 Nov 16, 2024 n =15358: 13310088572337389634342801863; ecm: B1 = 2.5e5 Nov 16, 2024 n =15432: 261878258438022137952239306929; ecm: B1 = 5e5 Nov 16, 2024 n =15496: 285426910637479686587379193; ecm: B1 = 2.5e5 Nov 16, 2024 n =15496: 13306099079477488146909217894897201; ecm: B1 = 5e5 Nov 16, 2024 n =15550: 61281151495471694491664186251; ecm: B1 = 5e5 Nov 16, 2024 n =15618: 702203650243936676542601302453; ecm: B1 = 1e6 Nov 16, 2024 n =15632: 4838223656632224191848904449; ecm: B1 = 1e6 Nov 16, 2024 n =15690: 551883358395935280956995365683161; ecm: B1 = 5e5 Nov 16, 2024 n =15694: 111896991941250243042183358940171; ecm: B1 = 1e6 Nov 16, 2024 n =15714: 1868407445370434596095957562879327; ecm: B1 = 1e6 Nov 16, 2024 n =15718: 58386544606416584478687517; ecm Nov 16, 2024 n =15744: 16662312225239949817689139969; ecm: B1 = 5e5 Nov 16, 2024 n =15784: 97326341848135596112877411177; ecm: B1 = 2.5e5 Nov 16, 2024 n =15790: 478471676195244910731603502531; ecm: B1 = 2.5e5 Nov 16, 2024 n =15830: 181735940122423942397354442691; ecm: B1 = 5e5 Nov 16, 2024 n =15858: 799695139888605420639138928357; ecm: B1 = 5e5 Nov 16, 2024 n =15858: 10624365242220737879424805222438579; ecm: B1 = 1e6 Nov 16, 2024 n =15906: 1072877406722537242064474261166769; ecm: B1 = 1e6 Nov 16, 2024 n =15968: 198256482506676882829296139502113; ecm: B1 = 5e5 Nov 16, 2024 n =15972: 176604931709427632153361400321; ecm: B1 = 1e6 Nov 16, 2024 n =15996: 1919794695678255545841984829; ecm: B1 = 1e0 Nov 16, 2024 n =16098: 59051891945598167859824731; ecm: B1 = 2.5e5 Nov 16, 2024 n =16226: 437822287350745706486873039808753407; ecm: B1 = 1e6 Nov 16, 2024 n =16258: 24358569084536808645026202437; ecm: B1 = 1e5 Nov 16, 2024 n =16274: 23824821207333348486876449303; ecm: B1 = 1e6 Nov 16, 2024 n =16304: 201272912888734212524452579713678475313; ecm: B1 = 2.5e5 Nov 16, 2024 n =16364: 72494882841718026134545350512221; ecm: B1 = 2.5e5 Nov 16, 2024 n =16452: 37919027182322759686834353708601; ecm: B1 = 1e6 Nov 16, 2024 n =16456: 2689448060768801465894964457; ecm: B1 = 1e5 Nov 16, 2024 n =16494: 86975737610796985673904235051; ecm: B1 = 2.5e5 Nov 16, 2024 n =16498: 16711386254924846704216980361; ecm: B1 = 1e5 Nov 16, 2024 n =16516: 103077292025391318037126649; ecm: B1 = 2.5e5 Nov 16, 2024 n =16518: 68101842761457413108021611; ecm: B1 = 1e5 Nov 16, 2024 n =16518: 1482081102658796106776479827379; ecm: B1 = 5e5 Nov 16, 2024 n =16524: 57335082222680413300052573860618669; ecm: B1 = 1e6 Nov 16, 2024 n =16558: 15429532319091493805830664263; ecm: B1 = 5e5 Nov 16, 2024 n =16566: 86579194832347439851096124164663; ecm: B1 = 1e6 Nov 16, 2024 n =16608: 1073501220012024038088343393; ecm: B1 = 5e5 Nov 16, 2024 n =16646: 808249358593054391816451815797; ecm: B1 = 2.5e5 Nov 16, 2024 n =16692: 36268974756953313149238120229; ecm: B1 = 5e5 Nov 16, 2024 n =16698: 3627696187353241323286768891; ecm: B1 = 2.5e5 Nov 16, 2024 n =16722: 318725041257190396222497947863; ecm: B1 = 5e5 Nov 16, 2024 n =16742: 7213425056141600565452740130663; ecm: B1 = 2.5e5 Nov 16, 2024 n =16758: 20630943706468996500242146183; ecm: B1 = 2.5e5 Nov 16, 2024 n =16808: 9330732845794712417079998781337; ecm: B1 = 2.5e5 Nov 16, 2024 n =16832: 104118466588381985227072247301589121; ecm: B1 = 2.5e5 Nov 16, 2024 n =16898: 2421843816564599707908254677891; ecm: B1 = 2.5e5 Nov 16, 2024 n =16914: 1787085587992110191220245930983; ecm: B1 = 5e5 Nov 16, 2024 n =16930: 64964129440349720611230721; ecm Nov 16, 2024 n =16954: 19317754362871679533741980121; ecm: B1 = 2.5e5 Nov 16, 2024 n =17040: 392601064906199226580223783382721; ecm: B1 = 5e5 Nov 16, 2024 n =17072: 11070083461703539430116485836113; ecm: B1 = 5e5 Nov 16, 2024 n =17122: 679734091059746608092706279333535767; ecm: B1 = 1e6 Nov 16, 2024 n =17266: 18736042748728415076807450769; ecm: B1 = 1e6 Nov 16, 2024 n =17312: 127617578991569984606766136769; ecm: B1 = 5e5 Nov 16, 2024 n =17320: 38415068557774647821480472001; ecm: B1 = 5e5 Nov 16, 2024 n =17338: 11169444483984971330840130331; ecm: B1 = 5e5 Nov 16, 2024 n =17342: 44000949292536455286208051; ecm: B1 = 1e5 Nov 16, 2024 n =17358: 35578014550565996806639717; ecm: B1 = 2.5e5 Nov 16, 2024 n =17366: 115198670490331891663813237; ecm: B1 = 1e6 Nov 16, 2024 n =17374: 5605722320153116654998214459; ecm: B1 = 2.5e5 Nov 16, 2024 n =17430: 1366261029014564184194320768697761; ecm: B1 = 5e5 Nov 16, 2024 n =17448: 28286597769083247455970457; ecm: B1 = 1e5 Nov 16, 2024 n =17452: 159256185746954218183974851641241; ecm: B1 = 1e6 Nov 16, 2024 n =17496: 6870978376243388122154693917249; ecm: B1 = 5e5 Nov 16, 2024 n =17534: 64900862121584159555289263; ecm: B1 = 2.5e5 Nov 16, 2024 n =17546: 3646263333245800669367047324556108437; ecm: B1 = 1e6 Nov 16, 2024 n =17548: 8580782286087959767195156478209; ecm: B1 = 2.5e5 Nov 16, 2024 n =17570: 71266542079023826681277451041; ecm: B1 = 2.5e5 Nov 16, 2024 n =17608: 15569394173922408466932549113; ecm: B1 = 2.5e5 Nov 16, 2024 n =17632: 118632382421034512471137; ecm: B1 = 5e4 Nov 16, 2024 n =17680: 220703955874848692869733204641; ecm: B1 = 5e5 Nov 16, 2024 n =17682: 8590328505584670240853568771437; ecm: B1 = 1e6 Nov 16, 2024 n =17692: 16402439019146061322694101; ecm: B1 = 2.5e5 Nov 16, 2024 n =17708: 1319087518458946826469949; ecm: B1 = 2.5e5 Nov 16, 2024 n =17712: 21640309583248110802137121; ecm: B1 = 1e5 Nov 16, 2024 n =17716: 2784409934462866088585729561; ecm: B1 = 5e5 Nov 16, 2024 n =17716: 19344730976907279767604053281; ecm: B1 = 2.5e5 Nov 16, 2024 n =17758: 95284647325766442427651; ecm Nov 16, 2024 n =17758: 1970078714426350513553647; ecm: B1 = 1e5 Nov 16, 2024 n =17770: 21764072680422736103368531; ecm: B1 = 2.5e5 Nov 16, 2024 n =17792: 4675931842161310583507968890881; ecm: B1 = 1e6 Nov 16, 2024 n =17798: 71894272242556060911493411247; ecm: B1 = 5e5 Nov 16, 2024 n =17808: 4627886814120273252034417; ecm: B1 = 2.5e5 Nov 16, 2024 n =17810: 57946038874313992007718364331; ecm: B1 = 1e5 Nov 16, 2024 n =17810: 32955251835755850457644813561251; ecm: B1 = 5e5 Nov 16, 2024 n =17822: 1049892931362591697783081; ecm: B1 = 2.5e5 Nov 16, 2024 n =17826: 146894199175295127536263813; ecm: B1 = 5e5 Nov 16, 2024 n =17826: 1411559946422946524755879813291; ecm: B1 = 5e5 Nov 16, 2024 n =17844: 2599259209671117723583110286921; ecm: B1 = 1e6 Nov 16, 2024 n =17852: 2213033880064722350076939971069; ecm: B1 = 5e5 Nov 16, 2024 n =17862: 61529649778472766631838527; ecm: B1 = 5e5 Nov 16, 2024 n =17862: 137322298748367731674668033729267529; ecm: B1 = 2.5e5 Nov 16, 2024 n =17886: 89896282650822418495991718738383197; ecm: B1 = 2.5e5 Nov 16, 2024 n =17898: 129678866052222581631967; ecm: B1 = 1e5 Nov 16, 2024 n =17906: 348961416349166613602595259; ecm: B1 = 1e5 Nov 16, 2024 n =17910: 1198814424640560542051371; ecm: B1 = 2.5e5 Nov 16, 2024 n =17950: 1109852898748975398424645263401; ecm: B1 = 2.5e5 Nov 16, 2024 n =18018: 561767227566460201690463069011; ecm: B1 = 1e6 Nov 16, 2024 n =18078: 9643632563529047358967233798001; ecm: B1 = 2.5e5 Nov 16, 2024 n =18098: 336944375164833446945685391889; ecm: B1 = 5e5 Nov 16, 2024 n =18130: 1673037346547595498440370588161; ecm: B1 = 5e5 Nov 16, 2024 n =18136: 6836442794539781036510288822561; ecm: B1 = 1e5 Nov 16, 2024 n =18188: 58698220113855288132253654789; ecm: B1 = 5e5 Nov 16, 2024 n =18202: 420235190982534739773397853; ecm: B1 = 2.5e5 Nov 16, 2024 n =18224: 1974220444064801429068929251940641; ecm: B1 = 2.5e5 Nov 16, 2024 n =18244: 70624642945024825618684845809; ecm: B1 = 1e6 Nov 16, 2024 n =18246: 664744518532140608367533851; ecm: B1 = 5e5 Nov 16, 2024 n =18248: 79491952270041047010879041; ecm: B1 = 2.5e5 Nov 16, 2024 n =18262: 73636894424276705006056499; ecm: B1 = 2.5e5 Nov 16, 2024 n =18274: 79260031146329006765733467845201; ecm: B1 = 5e5 Nov 16, 2024 n =18276: 245423580243775276257082768749109; ecm: B1 = 2.5e5 Nov 16, 2024 n =18282: 4957670380267197331208251; ecm: B1 = 2.5e5 Nov 16, 2024 n =18284: 970466858172329580815962656471221; ecm: B1 = 5e5 Nov 16, 2024 n =18288: 21187903633717358030385457; ecm: B1 = 1e5 Nov 16, 2024 n =18292: 2129127948810677054006815849; ecm Nov 16, 2024 n =18306: 5722334055069204813504284107825704772037641; ecm: B1 = 5e5 Nov 16, 2024 n =18310: 91147034316458883390201731; ecm: B1 = 1e6 Nov 16, 2024 n =18326: 22986891679238342738229441557; ecm: B1 = 2.5e5 Nov 16, 2024 n =18328: 737601128404023660018762697; ecm: B1 = 2.5e5 Nov 16, 2024 n =18330: 17100550347922712270530321; ecm: B1 = 2.5e5 Nov 16, 2024 n =18338: 114367468002868344413010713237; ecm: B1 = 1e6 Nov 16, 2024 n =18342: 12088795286888908042392086167; ecm: B1 = 2.5e5 Nov 16, 2024 n =18354: 3219501798419182858462118659; ecm: B1 = 5e5 Nov 16, 2024 n =18416: 402212070455004903763567649; ecm: B1 = 5e4 Nov 16, 2024 n =18422: 113389814179412997698348293; ecm: B1 = 2.5e5 Nov 16, 2024 n =18426: 6356067262460248555527859642237; ecm: B1 = 5e5 Nov 16, 2024 n =18440: 4087216638704228718491757841; ecm: B1 = 5e5 Nov 16, 2024 n =18510: 33536004775219266377896224811; ecm: B1 = 1e5 Nov 16, 2024 n =18512: 9137374150100906303425110241; ecm: B1 = 1e6 Nov 16, 2024 n =18528: 1169044202530351992033313; ecm: B1 = 1e5 Nov 16, 2024 n =18528: 26856215310490234191404080417; ecm: B1 = 1e5 Nov 16, 2024 n =18538: 8704334980210684513811161501453; ecm: B1 = 1e6 Nov 16, 2024 n =18542: 272185903883276105584550788637; ecm: B1 = 2.5e5 Nov 16, 2024 n =18548: 27269257810662925488871481; ecm: B1 = 2.5e5 Nov 16, 2024 n =18548: 27623423032111861107813356341; ecm: B1 = 2.5e5 Nov 16, 2024 n =18584: 1516378750803331257697681; ecm Nov 16, 2024 n =18618: 11512067897421281653697887; ecm: B1 = 2.5e5 Nov 16, 2024 n =18634: 2017497989727596908657280059213; ecm: B1 = 2.5e5 Nov 16, 2024 n =18704: 3794297644379391470290033; ecm: B1 = 2.5e5 Nov 16, 2024 n =18704: 208559444579947227867521; ecm: B1 = 5e4 Nov 16, 2024 n =18716: 5631445778382473644315352191835029; ecm: B1 = 2.5e5 Nov 16, 2024 n =18760: 265298704010638921240003121; ecm: B1 = 1e5 Nov 16, 2024 n =18760: 4931194017897773965475458561; ecm Nov 16, 2024 n =18762: 26101211653801232901493; ecm: B1 = 1e5 Nov 16, 2024 n =18770: 13548340109398914903379623521; ecm: B1 = 5e5 Nov 16, 2024 n =18782: 739907396358719715520774404379; ecm: B1 = 5e5 Nov 16, 2024 n =18836: 5023097998097721732412889; ecm: B1 = 2.5e5 Nov 16, 2024 n =18930: 2952383010305612924902615921; ecm: B1 = 2.5e5 Nov 16, 2024 n =18950: 412072599910852552751064240852851; ecm: B1 = 2.5e5 Nov 16, 2024 n =18950: 20944753549248446423309641801; ecm: B1 = 5e5 Nov 16, 2024 n =18958: 11096112000374002481632511813; ecm: B1 = 2.5e5 Nov 16, 2024 n =18996: 792101202706203043786760269249; ecm: B1 = 5e5 Nov 16, 2024 n =19000: 7268905938936362591099030392001; ecm: B1 = 1e6 Nov 16, 2024 n =19062: 39878207066402943176831131; ecm: B1 = 2.5e5 Nov 16, 2024 n =19068: 113327027279205174877705369; ecm: B1 = 5e5 Nov 16, 2024 n =19154: 58262481085303324179207703; ecm: B1 = 2.5e5 Nov 16, 2024 n =19160: 365692840223281292418610961; ecm: B1 = 2.5e5 Nov 16, 2024 n =19178: 151402889440440486941741983; ecm: B1 = 5e4 Nov 16, 2024 n =19182: 42799482626798894925771469327; ecm Nov 16, 2024 n =19208: 7399618793424734906373520790393689729; ecm: B1 = 5e5 Nov 16, 2024 n =19222: 342648688895364322077376024613; ecm: B1 = 5e5 Nov 16, 2024 n =19290: 2457739215194282820655692093931; ecm: B1 = 2.5e5 Nov 16, 2024 n =19292: 97015358758155216276716372009; ecm: B1 = 5e5 Nov 16, 2024 n =19302: 412297201109023264989400005997; ecm: B1 = 5e4 Nov 16, 2024 n =19306: 43656025981803124718332924519807; ecm: B1 = 5e5 Nov 16, 2024 n =19310: 9219696970796774258549891; ecm: B1 = 1e5 Nov 16, 2024 n =19314: 271646749249028437547781289; ecm: B1 = 2.5e5 Nov 16, 2024 n =19330: 8668678235162318516907261691; ecm: B1 = 2.5e5 Nov 16, 2024 n =19378: 6877644199791394382938162688339; ecm: B1 = 5e5 Nov 16, 2024 n =19384: 3938019285748798482726649257318449; ecm: B1 = 1e6 Nov 16, 2024 n =19392: 260291657223921864829105784715649; ecm: B1 = 5e5 Nov 16, 2024 n =19396: 1676028712711900231893709489; ecm: B1 = 2.5e5 Nov 16, 2024 n =19416: 1463999310188709611599330075009; ecm: B1 = 5e5 Nov 16, 2024 n =19428: 14371162305701180042487673969; ecm: B1 = 5e5 Nov 16, 2024 n =19432: 1882986798530979318026412879728777; ecm: B1 = 5e5 Nov 16, 2024 n =19446: 1719597542449275224486215816010437; ecm: B1 = 5e5 Nov 16, 2024 n =19492: 478974309826268620316223904469; ecm: B1 = 5e5 Nov 16, 2024 n =19494: 50004694676289453980869664209; ecm: B1 = 5e5 Nov 16, 2024 n =19518: 235459138494755104848585847; ecm Nov 16, 2024 n =19544: 85884311800644096574196243695969; ecm: B1 = 1e6 Nov 16, 2024 n =19644: 36954787534838503023144251341; ecm: B1 = 5e5 Nov 16, 2024 n =19656: 5160540506200863523681033; ecm: B1 = 5e5 Nov 16, 2024 n =19712: 2289529535987506275146923009; ecm: B1 = 2.5e5 Nov 16, 2024 n =19720: 1859583231963069265096481; ecm: B1 = 1e5 Nov 16, 2024 n =19722: 49448819845523984010326227757491; ecm: B1 = 2.5e5 Nov 16, 2024 n =19734: 125061565350184147751833835641; ecm: B1 = 5e5 Nov 16, 2024 n =19746: 3776420413083983795790931; ecm: B1 = 1e5 Nov 16, 2024 n =19816: 39428074988864044610430680478267913; ecm: B1 = 1e6 Nov 16, 2024 n =19950: 650736548221532423486343751413451; ecm: B1 = 2.5e5 Nov 16, 2024 n =19970: 28661588680355154688524810148931; ecm: B1 = 5e5 Nov 16, 2024 n =19978: 1114877885115904326741125717413; ecm: B1 = 1e5 Nov 16, 2024 n =19940: 156271046319575398183239500556123497773481; ecm: B1 = 5e5 - Found by Torbjörn Granlund Nov 15, 2024 n = 1683: 7094269136760977218014836948723305450933 Nov 15, 2024 n = 1731: 21481225216685350678161515038389787 Nov 15, 2024 n = 2187: 21308633677099951037311635962017389361 Nov 15, 2024 n = 2289: 19306123439772405301786737066921362521 Nov 15, 2024 n = 2349: 1450728419450614246387071597126321883351 Nov 15, 2024 n = 2439: 1750951613605088127239925104483031647431 Nov 15, 2024 n = 2711: 2429177830781265239696373889891451437603 Nov 15, 2024 n = 2947: 1111254447528443572188121925013179399474723363 Nov 15, 2024 n = 3375: 5636920616578062840761562879001 Nov 15, 2024 n = 3395: 1047259165586024962957754415606196751 Nov 15, 2024 n = 3763: 261631815901886754901630209830896414999 Nov 15, 2024 n = 3783: 2050156379068493102584809457787886092923 Nov 15, 2024 n = 3865: 12715708181685060600558310150912985641 Nov 15, 2024 n = 4001: 785668012864498594153755090667981081 Nov 15, 2024 n = 4123: 3615006019244589866307965298512979191 Nov 15, 2024 n = 5291: 46572831190351972867499154106274351597 Nov 15, 2024 n = 5295: 8569153920827778069491014006637714616026551 Nov 15, 2024 n = 5509: 245655366636481904294387728335220853 Nov 15, 2024 n = 5551: 2994317007589622287680380348501561156477 Nov 15, 2024 n = 5597: 3841078687097124869407100790777529 Nov 15, 2024 n = 5717: 12747258772040276660632435799376009307 Nov 15, 2024 n = 5729: 18860988209785924086716853780111143627 Nov 15, 2024 n = 5761: 43990530197708684383325546514137021161 Nov 15, 2024 n = 5885: 844450056620074126938596588698793372581001 Nov 15, 2024 n = 5997: 42003117580999868437768661876437 Nov 15, 2024 n = 6011: 5925206112374253156818936638869529 Nov 15, 2024 n = 6223: 1545303686192035046953668811992769 Nov 15, 2024 n = 6415: 9175104058281655753339473156391 Nov 15, 2024 n = 6519: 8318214534161460105630870205573 Nov 15, 2024 n = 6527: 768232679725546485130495224797 Nov 15, 2024 n = 6529: 3155681180270721374056974637173625027 Nov 15, 2024 n = 6535: 323945983881118599812279882508165647507231 Nov 15, 2024 n = 6539: 33805533821179999361542638159881 Nov 15, 2024 n = 6601: 3403226914877674366263719982773 Nov 15, 2024 n = 6795: 71318086372916239886625581556376591 Nov 15, 2024 n = 6803: 2167561857840026739852602279591 Nov 15, 2024 n = 6823: 4032610279007793201227302922034311773 Nov 15, 2024 n = 6969: 17284863696672036215929959110331284917 Nov 15, 2024 n = 6975: 283685716992988738279636629628152151 Nov 15, 2024 n = 7003: 1034885622798742700218772650666152755600801 Nov 15, 2024 n = 7083: 765085263684007765631988055037138839 Nov 15, 2024 n = 7093: 16386969842132484127375116377292439 Nov 15, 2024 n = 7227: 927315974687849547564996700237243 Nov 15, 2024 n = 7471: 5623173146639554770850636699184323 Nov 15, 2024 n = 7473: 7754432367783782127690087312836359 Nov 15, 2024 n = 7701: 5823687850949224270769389820151199 Nov 15, 2024 n = 7819: 90296000163190254168920720349030323 Nov 15, 2024 n = 7901: 14107041510778662073368754306929281 Nov 15, 2024 n = 7929: 9774230640445511234063175519001 Nov 15, 2024 n = 7961: 13629218040032503695263790183056171911 Nov 15, 2024 n = 8195: 273524796752500296358251688669379591 Nov 15, 2024 n = 8253: 47829062731517382751976640941655830569 Nov 15, 2024 n = 8261: 3164534367938109650289010885319835740161 Nov 15, 2024 n = 8301: 450385768288539083956297050438758857243 Nov 15, 2024 n = 8335: 1448902497362749961768537685911711 Nov 15, 2024 n = 8411: 34556671521668258064024578047376557 Nov 15, 2024 n = 8475: 824732370149634210114393712167055801 Nov 15, 2024 n = 8523: 133352804218021396519406310387613 Nov 15, 2024 n = 8617: 773008187701896989389487349175434820573 Nov 15, 2024 n = 8751: 250757533321745462773227135763987 Nov 15, 2024 n = 8995: 2642890492661890777326121144043315351 Nov 15, 2024 n = 9179: 41407118535863836328231199438831683 Nov 15, 2024 n = 9373: 16965568701949010634245850663569 Nov 15, 2024 n = 9663: 332615451808491919488183612731787973 Nov 15, 2024 n = 9935: 40972083250831015509382919165858664610349401 Nov 15, 2024 n = 9991: 128170195863151014481182999902603 - Found by Bo Chen Nov 14, 2024 n =11933: 414925980131129258619162561359861129; ecm: B1 = 1e6; sigma = 0:2535354785099330417 - Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt Beschorner Nov 14, 2024 R2100L/c215: SNFS-difficulty = 280; 510M unique raw relations and 890M unique ideals are collected; target: 1450M unique raw relations; currently progress 35 %; - Found by Kurt Beschorner Nov 12, 2024 n = 2588: 358707685867464791644043614080398407699364549; ecm: B1 =11e6; sigma = 3:520840551 Nov 12, 2024 n =6620L: 12158458323280420106135772848381096322161 * 8766924399......P1239; ecm: B1 =11e6; sigma = 3:2600717268 Nov 12, 2024 n =6620M: 642287726920966940956750396648795252481; ecm: B1 =11e6; sigma = 3:1012836728 Nov 12, 2024 n=10020M: 777584027810159345125925179689199834434421; ecm: B1 =11e6; sigma = 3:2384873688 Nov 12, 2024 n =10534: 226205881193915161320009774462839717; ecm: B1 = 1e6; sigma = 0:3438171638309662 Nov 12, 2024 n =10552: 177396567174208802425121364413353; ecm: B1 = 1e6; sigma = 0:3957437626118494 Nov 12, 2024 n =20106: 18683064958877822776369923274751573259529; P-1: B1 = 56e6 Nov 12, 2024 n=100530: 8880823511451062371; P-1: B1 = 56e6 Nov 12, 2024 n=100531: 13602355372259569; P-1: B1 = 26e6 - Found by Anonymous Nov 12, 2024 n=177147: 17975564821722439; - Found by Kurt Beschorner Nov 06, 2024 n = 8942: 1464836520301341417091423101371315459; P-1: B1 = 1e9 Nov 06, 2024 n =10424: 57942252239189441677496005862320636721; ecm: B1 = 1e6; sigma = 0:59832573212747 Nov 06, 2024 n =14094: 12480093421238519381361994578001; P-1: B1 = 500e6 Nov 06, 2024 n =14107: 1956842749478358759504522649; P-1: B1 = 150e6 Nov 06, 2024 n =14108: 216582055761926451208752488813449; P-1: B1 = 200e6 Nov 06, 2024 n =33505: 1045822484578566791; P-1: B1 = 26e6 Nov 06, 2024 n=100513: 4406172854153813; P-1: B1 = 26e6 Nov 06, 2024 n=100515: 940445147333643232441; P-1: B1 = 26e6 Nov 06, 2024 n=100525: 5732011026124335751; P-1: B1 = 26e6 Nov 06, 2024 n=170537: 2652533123498678267; gr-mfaktc Nov 06, 2024 n=170579: 2383885374440306441; gr-mfaktc Nov 06, 2024 n=171167: 2082228604826256881; gr-mfaktc Nov 06, 2024 n=171341: 13001283521808877717; gr-mfaktc Nov 06, 2024 n=171449: 9777801130672250089; gr-mfaktc Nov 06, 2024 n=171539: 1443611262079414159; gr-mfaktc - Found by Alfred Eichhorn Nov 01, 2024 n =15991: 172162941266993330396729039; ecm: B1 = 1e6; sigma = 4867608413414300 Nov 01, 2024 n =16069: 133668399424837027337344405603231; ecm: B1 = 1e6; sigma = 4413080158643041 Nov 01, 2024 n =25031: 609471758670332641184098358947; ecm: B1 = 1e6; sigma = 5196294818478462 Nov 01, 2024 n =25031: 51200151616835849440828708535231; ecm: B1 = 1e6; sigma = 1742695876983339 - Found by Kurt Beschorner Nov 01, 2024 n = 8332: 680445408889792780179826779807875306556149; P-1: B1 = 1e9 Nov 01, 2024 n =10448: 20669254225975294991344335110737; ecm: B1 = 1e6; sigma = 0:606849483862269 Nov 01, 2024 n =10456: 34803087160489599423500860348073; ecm: B1 = 1e6; sigma = 0:927816581658530 - Found by Kurt Beschorner Oct 27, 2024 n = 8182: 28850879428309054815593321203131133; P-1: B1 = 1e9 Oct 27, 2024 n = 8642: 101599598603089933081005893438131; P-1: B1 = 1e9 Oct 27, 2024 n = 9562: 1098665161915444484072499291463; P-1: B1 = 1e9 Oct 27, 2024 n =10240: 6622682172419180380334835196998082561; P-1: B1 = 1e9 Oct 27, 2024 n =14072: 5493962077492722494356347121; P-1: B1 = 450e6 Oct 27, 2024 n =14079: 1078931823934740350351479; P-1: B1 = 180e6 Oct 27, 2024 n =14085: 17156314595069688962452470031; P-1: B1 = 200e6 Oct 27, 2024 n =33499: 3461905701337494163; P-1: B1 = 26e6 Oct 27, 2024 n=100495: 4035721212339505681; P-1: B1 = 26e6 Oct 27, 2024 n=100499: 8007927154880146690267; P-1: B1 = 26e6 Oct 27, 2024 n=100502: 14078436953716007303; P-1: B1 = 55e6 Oct 27, 2024 n=100503: 48692729975753706180464881; P-1: B1 = 26e6 Oct 27, 2024 n=100507: 611882048848418851999; P-1: B1 = 26e6 Oct 27, 2024 n=170047: 17944419711952309813; gr-mfaktc Oct 27, 2024 n=170249: 6568827945769181747; gr-mfaktc - Found by Sam Wagstaff Oct 26, 2024 n = 754: 2680052779284995695116101096172766967989394552173439874009704597; ecm - Found by Kurt Beschorner Oct 22, 2024 n =14069: 218313329070736647028271; P-1: B1 = 170e6 Oct 22, 2024 n=100462: 905737785027762878665260841; P-1: B1 = 55e6 Oct 22, 2024 n=100474: 1344819502034029549529; P-1: B1 = 55e6 Oct 22, 2024 n=100476: 254266871786431065402411601; P-1: B1 = 55e6 Oct 22, 2024 n=100479: 11113295140657992140962406293; P-1: B1 = 26e6 Oct 22, 2024 n=100490: 1353656760084265312573053521; P-1: B1 = 55e6 Oct 22, 2024 n=168253: 6044993586619713653; gr-mfaktc Oct 22, 2024 n=169003: 886246965096311911; gr-mfaktc Oct 22, 2024 n=169177: 5971514691674150557; gr-mfaktc Oct 22, 2024 n=169409: 13223132479093429723; gr-mfaktc Oct 22, 2024 n=169427: 489596966937968569; gr-mfaktc - Found by Kurt Beschorner Oct 13, 2024 n =10130: 13779679021081936117833719070121; P-1: B1 = 1e9 Oct 13, 2024 n =20083: 7964175918938426339582711; P-1: B1 = 26e6 Oct 13, 2024 n =20085: 331754498008563028690591; P-1: B1 = 26e6 Oct 13, 2024 n =33470: 21370399393068893531561; P-1: B1 = 55e6 Oct 13, 2024 n =33477: 49215716691087050653; P-1: B1 = 26e6 Oct 13, 2024 n =33483: 7331103849266653; P-1: B1 = 26e6 Oct 13, 2024 n=100411: 11683770632611111278486216370199677; P-1: B1 = 26e6 Oct 13, 2024 n=100412: 117313300863751981; P-1: B1 = 55e6 Oct 13, 2024 n=100415: 65142321421197960311; P-1: B1 = 26e6 Oct 13, 2024 n=100431: 2266421789914507; P-1: B1 = 26e6 Oct 13, 2024 n=100431: 672397804192537144081; P-1: B1 = 26e6 Oct 13, 2024 n=100439: 34729687515101536129; P-1: B1 = 26e6 Oct 13, 2024 n=100449: 5751211841956610375298481; P-1: B1 = 26e6 Oct 13, 2024 n=100450: 33658970705358559179851; P-1: B1 = 55e6 Oct 13, 2024 n=100453: 316058052873374708603453; P-1: B1 = 26e6 Oct 13, 2024 n=100456: 4747581057401243508961; P-1: B1 = 55e6 Oct 13, 2024 n=100460: 582783765779239861163261621; P-1: B1 = 55e6 Oct 13, 2024 n=166723: 76540815903400963; gr-mfaktc Oct 13, 2024 n=166919: 4533297595133922523; gr-mfaktc Oct 13, 2024 n=166931: 1341116224550551591; gr-mfaktc Oct 13, 2024 n=167009: 552740683106964239; gr-mfaktc Oct 13, 2024 n=167087: 86730304922383919; gr-mfaktc Oct 13, 2024 n=167107: 1955456428669352237; gr-mfaktc Oct 13, 2024 n=167269: 159936419872683613; gr-mfaktc Oct 13, 2024 n=167471: 128408862765878951; gr-mfaktc Oct 13, 2024 n=167521: 2873503994689640573; gr-mfaktc Oct 13, 2024 n=167711: 77860867681727947; gr-mfaktc Oct 13, 2024 n=167729: 4963028858800005547; gr-mfaktc Oct 13, 2024 n=167917: 133386001935366599; gr-mfaktc Oct 13, 2024 n=167971: 540377255800774277; gr-mfaktc - Found by YOYO@home/Defrag Oct 08, 2024 n = 639: 929627442074193448101717553045350224940201718470443276606531700472416289; ecm: B1 = 2.9e9 - Found by Alfred Eichhorn Oct 06, 2024 n =15667: 11426092181973011277118595481581089; ecm: B1 = 1e6; sigma = 4278876499549301 Oct 06, 2024 n =24019: 3856673819590507066880930323; ecm: B1 = 1e6; sigma = 4547196708979326 Oct 06, 2024 n =24179: 67361590008950077783742827; ecm: B1 = 1e6; sigma = 2575665522867841 Oct 06, 2024 n =24197: 37885141066413960891472381643; ecm: B1 = 1e6; sigma = 3930153077720417 - Found by Kurt Beschorner Oct 04, 2024 n = 8152: 935691385845929911240971439606855630225681; P-1: B1 = 1e9 Oct 04, 2024 n = 9332: 16747120850646488349464235094757201141; ecm: B1 = 1e6; sigma = 0:1748271489658466 Oct 04, 2024 n = 9638: 904580087855766619816908424382329; ecm: B1 = 1e6; sigma = 0:7953838129020119 Oct 04, 2024 n = 9778: 10762415990988011981326048333823; ecm: B1 = 1e6; sigma = 4883708394567929 Oct 04, 2024 n =33459: 6886400356423961565667; P-1: B1 = 26e6 Oct 04, 2024 n =33460: 19577012143151821; P-1: B1 = 55e6 Oct 04, 2024 n=100373: 58853502149943742151; P-1: B1 = 26e6 Oct 04, 2024 n=100373: 28534847658501812904277; P-1: B1 = 26e6 Oct 04, 2024 n=100375: 15593123793263712247751; P-1: B1 = 26e6 Oct 04, 2024 n=100381: 9207186664030681; P-1: B1 = 26e6 Oct 04, 2024 n=100384: 7027069454256328270529; P-1: B1 = 55e6 Oct 04, 2024 n=100385: 49001033306526376591; P-1: B1 = 26e6 Oct 04, 2024 n=100385: 214084067863086357490871; P-1: B1 = 26e6 Oct 04, 2024 n=100387: 47147676278372987773; P-1: B1 = 26e6 Oct 04, 2024 n=100388: 321732821187430257125479349; P-1: B1 = 55e6 Oct 04, 2024 n=100394: 163453595655334375106811929; P-1: B1 = 55e6 Oct 04, 2024 n=100397: 9045742621485993523; P-1: B1 = 26e6 Oct 04, 2024 n=100398: 10174546359106095367; P-1: B1 = 55e6 Oct 04, 2024 n=100398: 34868951341687528358193007; P-1: B1 = 55e6 Oct 04, 2024 n=166013: 10958014037763604489; gr-mfaktc Oct 04, 2024 n=166151: 7272024960114191083; gr-mfaktc Oct 04, 2024 n=166273: 5530882519588581227; gr-mfaktc - Found by Kurt Beschorner Sep 29, 2024 n = 5935: 895577649718240766851420771286431; ecm: B1 = 1e6; sigma = 0:2558740426237798 Sep 29, 2024 n =14008: 7557466138018613887752839718241; P-1: B1 = 425e6 Sep 29, 2024 n =14025: 494799595468837592912765329951; P-1: B1 = 200e6 Sep 29, 2024 n =20069: 625888769768322182081; P-1: B1 = 26e6 Sep 29, 2024 n =20071: 10717561504971990516345053; P-1: B1 = 26e6 Sep 29, 2024 n =33445: 1469336791608911; P-1: B1 = 26e6 Sep 29, 2024 n =33447: 491608830005525988853; P-1: B1 = 26e6 Sep 29, 2024 n =33447: 187416928712199166553464081; P-1: B1 = 26e6 Sep 29, 2024 n =33448: 1351418898150824104130233; P-1: B1 = 55e6 Sep 29, 2024 n=100336: 330028917981567723303942673; P-1: B1 = 55e6 Sep 29, 2024 n=100338: 206912510296423; P-1: B1 = 55e6 Sep 29, 2024 n=100339: 54223021923540945759365761; P-1: B1 = 26e6 Sep 29, 2024 n=100346: 383728351907091520013; P-1: B1 = 55e6 Sep 29, 2024 n=100349: 2394463284595550867; P-1: B1 = 25e6 Sep 29, 2024 n=100349: 571773078188199797711; P-1: B1 = 25e6 Sep 29, 2024 n=100349: 2170923897743298135871; P-1: B1 = 25e6 Sep 29, 2024 n=100354: 7017770946180281805900997; P-1: B1 = 55e6 Sep 29, 2024 n=100367: 437309391825563618085106691353003; P-1: B1 = 25e6 Sep 29, 2024 n=165059: 1412576064729866441; gr-mfaktc Sep 29, 2024 n=165367: 219042871356182639; gr-mfaktc Sep 29, 2024 n=165559: 3022209644667383591; gr-mfaktc Sep 29, 2024 n=165887: 2103548727932086601; gr-mfaktc - Found by Kurt Beschorner Sep 22, 2024 n =8820L: 38472335154641256621987535647777642463066081; ecm: B1 = 43e6; sigma = 0:1776896642260120 Sep 22, 2024 n =13981: 41959916167823776617032638519; P-1: B1 = 180e6 Sep 22, 2024 n =15010: 2247135913811251472757731281; P-1: B1 = 475e6 Sep 22, 2024 n =33439: 53111770394178347969857294969; P-1: B1 = 26e6 Sep 22, 2024 n =33443: 136477096357797438371266784827; P-1: B1 = 26e6 Sep 22, 2024 n=100310: 1212708762180807686728089786270481; P-1: B1 = 55e6 Sep 22, 2024 n=100315: 50361950805780701077241; P-1: B1 = 26e6 Sep 22, 2024 n=100319: 912888165648139220039; P-1: B1 = 26e6 Sep 22, 2024 n=100319: 1057846236716005776317; P-1: B1 = 26e6 Sep 22, 2024 n=100322: 8108488733399443679408089; P-1: B1 = 55e6 Sep 22, 2024 n=100325: 5827663597974964201; P-1: B1 = 26e6 Sep 22, 2024 n=100325: 25321797375061892351; P-1: B1 = 26e6 Sep 22, 2024 n=100325: 56630897862009020083404551; P-1: B1 = 26e6 Sep 22, 2024 n=100326: 783039991400508236893; P-1: B1 = 55e6 Sep 22, 2024 n=100327: 35281606932001009; P-1: B1 = 26e6 Sep 22, 2024 n=100327: 12828554947389278628650883738942364921; P-1: B1 = 26e6 Sep 22, 2024 n=100331: 21467063211868121; P-1: B1 = 26e6 Sep 22, 2024 n=100331: 4862518420072955027; P-1: B1 = 26e6 Sep 22, 2024 n=163567: 539641922197237843; gr-mfaktc Sep 22, 2024 n=163643: 8742778098628924369; gr-mfaktc Sep 22, 2024 n=163871: 81434437414508879; gr-mfaktc Sep 22, 2024 n=164363: 318453441593001283; gr-mfaktc Sep 22, 2024 n=164363: 7249093626119332237; gr-mfaktc - Found by Kurt Beschorner Sep 16, 2024 n = 7714: 674756255553554784010629810684186001; P-1: B1 = 55e6 Sep 16, 2024 n =13959: 10908706960626889587131773; P-1: B1 = 200e6 Sep 16, 2024 n =13967: 1546739122898324683549717612079311; P-1: B1 = 150e6 Sep 16, 2024 n =14329: 183712653538982131518024939751; P-1: B1 = 26e6 Sep 16, 2024 n =20059: 80375529458480386963639; P-1: B1 = 26e6 Sep 16, 2024 n =33428: 598073364853609567951344661; P-1: B1 = 55e6 Sep 16, 2024 n =33430: 1940207172302679533640091; P-1: B1 = 55e6 Sep 16, 2024 n =33431: 2986536836872837600454184202658521; P-1: B1 = 26e6 Sep 16, 2024 n =33433: 40818089630691856577333; P-1: B1 = 26e6 Sep 16, 2024 n =33435: 105983936158364548054452631; P-1: B1 = 26e6 Sep 16, 2024 n=100281: 1815632202447883; P-1: B1 = 26e6 Sep 16, 2024 n=100283: 42379862892338239; P-1: B1 = 26e6 Sep 16, 2024 n=100302: 163812185449385920151179; P-1: B1 = 55e6 Sep 16, 2024 n=100307: 821138291293898067154050639683; P-1: B1 = 26e6 Sep 16, 2024 n=161503: 446701045025113763; gr-mfaktc Sep 16, 2024 n=161831: 3150992875204990759; gr-mfaktc Sep 16, 2024 n=161923: 265409454752698439; gr-mfaktc Sep 16, 2024 n=161983: 3102607059593915561; gr-mfaktc Sep 16, 2024 n=162053: 455764003592207053; gr-mfaktc Sep 16, 2024 n=162263: 16573976462383659653; gr-mfaktc Sep 16, 2024 n=162709: 6151846505317453609; gr-mfaktc Sep 16, 2024 n=162821: 533085113807320037; gr-mfaktc Sep 16, 2024 n=163147: 226382336474367907; gr-mfaktc Sep 16, 2024 n=163243: 450452936170769321; gr-mfaktc Sep 16, 2024 n=163243: 1158816080244718243; gr-mfaktc Sep 16, 2024 n=163351: 655996977828896117; gr-mfaktc - Found by Torbjörn Granlund Sep 15, 2024 n = 1213: 3802200856589814744657128636563499435894999; ecm: B1 = 1e6; sigma = 0:14488647671416981951 Sep 15, 2024 n = 1815: 4098441872200433015045042676505414155509641; ecm: B1 = 1e6; sigma = 0:11990104957816418499 Sep 15, 2024 n = 2285: 2051498341294060742933143147274846947443401; P-1: B1 = 1e9; B2 = 6084866733918 Sep 15, 2024 n = 2391: 103182654083788921684537334713499683; ecm: B1 = 1e6; sigma = 0:12020620644682256341 Sep 15, 2024 n = 2449: 600858453913730403856532541976772589443; P-1: B1 = 1e9; B2 = 6084866733918 Sep 15, 2024 n = 2527: 647353766385319691857417203558887401; ecm: B1 = 1e6; sigma = 0:3621277789841061197 Sep 15, 2024 n = 2535: 156754634687052062764416759087670471; ecm: B1 = 1e6; sigma = 1:3393956487 Sep 15, 2024 n = 2543: 753304164049013002621804486735652843; ecm: B1 = 1e6; sigma = 1:1466944611 Sep 15, 2024 n = 2705: 109195685007337483022299748369716146161; ecm: B1 = 1e6; sigma = 0:8906779298094550009 Sep 15, 2024 n = 2745: 28485167471844891801410276138004175081; ecm: B1 = 1e6; sigma = 0:8604497436349318999 Sep 15, 2024 n = 2829: 16410236115549830906505363137937169; ecm: B1 = 1e6; sigma = 0:1951234959635419041 Sep 15, 2024 n = 2937: 18896097703630454952291685509584942533; ecm: B1 = 1e6; sigma = 1:759148817 Sep 15, 2024 n = 3021: 27330873097344696912154806989332483; ecm: B1 = 1e6; sigma = 0:3201172410425856953 Sep 15, 2024 n = 3569: 11400139053302182410990498057327124417267; ecm: B1 = 3e6; sigma = 0:10865405958817156427 Sep 15, 2024 n = 3585: 58085336248307618498777162746561; ecm: B1 = 1e6; sigma = 0:15009441137241804824 Sep 15, 2024 n = 3667: 2080475367504865290478276992253031; ecm: B1 = 1e6; sigma = 0:12437885057015613011 Sep 15, 2024 n = 3757: 33694379761057967269754016089273036507; ecm: B1 = 1e6; sigma = 1:273908683 Sep 15, 2024 n = 3787: 7055345299224159172828355011806649; ecm: B1 = 1e6; sigma = 0:2830813724368277207 Sep 15, 2024 n = 4055: 1948787780852220980547111695444679761; ecm: B1 = 1e6; sigma = 0:17455056067453863873 Sep 15, 2024 n = 4103: 1741547372143431977118494290270117837; ecm: B1 = 1e6; sigma = 0:5025907934834844875 Sep 15, 2024 n = 4165: 14502689303731246267058119792968671; ecm: B1 = 1e6; sigma = 0:5727017555073026671 Sep 15, 2024 n = 4191: 22984383232857352472100689865991849; ecm: B1 = 1e6; sigma = 0:12310506994298116883 Sep 15, 2024 n = 4265: 14287864954281769595031262840766686391; ecm: B1 = 1e6; sigma = 0:16892259785869631342 Sep 15, 2024 n = 4507: 144033826328835512829127544710780565639; ecm: B1 = 1e6; sigma = 0:449790939880095147 Sep 15, 2024 n = 4509: 2460235364293681340814960094035702961; ecm: B1 = 3e6; sigma = 0:15501487315860969557 Sep 15, 2024 n = 4739: 169909323009560405443119802808507; ecm: B1 = 1e6; sigma = 0:5951338009732668807 Sep 15, 2024 n = 4869: 486782628447541143585231274986757711; ecm: B1 = 1e6; sigma = 0:7300925068061572311 Sep 15, 2024 n = 4919: 6530957056632063748192085275662319; ecm: B1 = 1e6; sigma = 0:6603285319019973935 Sep 15, 2024 n = 5215: 125442818692110058393659177580154599647431; ecm: B1 = 1e6; sigma = 1:177897093 Sep 15, 2024 n = 5465: 165659419307517545705863974768344231; ecm: B1 = 1e6; sigma = 0:6603285319019973935 Sep 15, 2024 n = 5593: 30774474478303908730228394315801; ecm: B1 = 1e6; sigma = 0:78372119094033 Sep 15, 2024 n = 5651: 253153202072068480481374624902090462157; ecm: B1 = 1e6; sigma = 0:12798764993499092605 Sep 15, 2024 n = 5711: 1458424360860342794605064778192559441; ecm: B1 = 1e6; sigma = 0:5963013522829996799 Sep 15, 2024 n = 5743: 14811624013463002360724048056372841; ecm: B1 = 1e6; sigma = 0:78372119094033 Sep 15, 2024 n = 5831: 318654001333309317352041936803; ecm: B1 = 1e6; sigma = 1:3393956487 Sep 15, 2024 n = 5917: 62128869315196783538931039009211738481; ecm: B1 = 1e6; sigma = 1:1474470163 Sep 15, 2024 n = 6011: 5656607367075011571023869359496363; ecm: B1 = 1e6; sigma = 1:273908683 Sep 15, 2024 n = 6093: 1336143863663099786889758180375119; ecm: B1 = 1e6; sigma = 1:3616795357 *Sep 15, 2024 n = 6155: 16956196546484050694626455982001; ecm: B1 = 1e6; sigma = 0:18296581214409180617 Sep 15, 2024 n = 6173: 5053071098890826667938286305293; ecm: B1 = 1e6; sigma = 0:199762724765272745 Sep 15, 2024 n = 6237: 14089779120825363590790687940304359; ecm: B1 = 1e6; sigma = 0:15637767851225334323 Sep 15, 2024 n = 6327: 1596489365351468828532617242104403; ecm: B1 = 1e6; sigma = 1:759148817 Sep 15, 2024 n = 6407: 373939098107201919765478843483; ecm: B1 = 1e6; sigma = 0:11362242212281988111 Sep 15, 2024 n = 6417: 294088177038615753783998327225437; ecm: B1 = 1e6; sigma = 1:3425686205 Sep 15, 2024 n = 6465: 221112688029324217201473060951751; ecm: B1 = 1e6; sigma = 0:8473284529095742021 Sep 15, 2024 n = 6509: 100936144535747450211445731409; ecm: B1 = 1e6; sigma = 0:1532057093235231923 Sep 15, 2024 n = 6579: 14928911404373501386802247002821217191; ecm: B1 = 1e6; sigma = 0:1532057093235231923 Sep 15, 2024 n = 6747: 6723829837620032920626623393563; ecm: B1 = 1e6; sigma = 0:11914725518606056737 Sep 15, 2024 n = 6767: 1943538884462222777971431975683519; ecm: B1 = 1e6; sigma = 0:11914725518606056737 Sep 15, 2024 n = 6775: 7651560979032194699667735601; ecm: B1 = 1e6; sigma = 0:7938031375900419525 Sep 15, 2024 n = 6785: 8367957136701535535458360493059871; ecm: B1 = 1e6; sigma = 0:8253462866479087135 Sep 15, 2024 n = 6799: 170625890566634686201590537198169; ecm: B1 = 1e6; sigma = 0:189873710409027 Sep 15, 2024 n = 6827: 605563853021030672629776013561; ecm: B1 = 1e6; sigma = 0:15042871998340189925 Sep 15, 2024 n = 6873: 11732138724635366578685236204921; ecm: B1 = 1e6; sigma = 1:77461235 Sep 15, 2024 n = 6933: 2056666694145181286351906929282494283; ecm: B1 = 1e6; sigma = 1:1753592501 Sep 15, 2024 n = 6955: 4770123797091402986659534165081; ecm: B1 = 1e6; sigma = 0:7545309159719229623 Sep 15, 2024 n = 7011: 40932492158522147916939842503117; ecm: B1 = 1e6; sigma = 0:15428700728936867661 Sep 15, 2024 n = 7047: 2721713105317415253764995487154864151; ecm: B1 = 1e6; sigma = 0:14957306403135743853 Sep 15, 2024 n = 7203: 358477182201157632404210989262323; ecm: B1 = 1e6; sigma = 0:1899485105162830283 Sep 15, 2024 n = 7225: 4302621570884152909003933564616551; ecm: B1 = 1e6; sigma = 0:263415883537725 Sep 15, 2024 n = 7389: 2898661596886202374101295254853; ecm: B1 = 1e6; sigma = 0:18401888294117552977 Sep 15, 2024 n = 7405: 1000777605747316235823378402467201; ecm: B1 = 1e6; sigma = 1:182620923 Sep 15, 2024 n = 7435: 31538057598641330421637379793605858911; ecm: B1 = 1e6; sigma = 0:17646512381195540761 Sep 15, 2024 n = 7453: 519352817483043973396038245141801; ecm: B1 = 1e6; sigma = 0:17646512381195540761 Sep 15, 2024 n = 7455: 491214058175515798301044852544161; ecm: B1 = 1e6; sigma = 0:1038547052753189993 Sep 15, 2024 n = 7481: 4972615427247872817986627484420443; ecm: B1 = 1e6; sigma = 0:12798764993499092605 Sep 15, 2024 n = 7497: 120992296050473892227494196483557; ecm: B1 = 1e6; sigma = 0:3207401511136924985 Sep 15, 2024 n = 7571: 18698117426765456482515727025468521; ecm: B1 = 1e6; sigma = 0:8906779298094550009 Sep 15, 2024 n = 7579: 19746693354511063241762048385799; ecm: B1 = 1e6; sigma = 1:2923719129 Sep 15, 2024 n = 7657: 23156299845678068145104500838792479; ecm: B1 = 1e6; sigma = 0:11914725518606056737 Sep 15, 2024 n = 7707: 10239935254977661685645752476121; ecm: B1 = 1e6; sigma = 0:14778809121148116955 Sep 15, 2024 n = 7709: 3603902959985554170713863151227; ecm: B1 = 1e6; sigma = 0:78372119094033 Sep 15, 2024 n = 7735: 7852631810215021420841043096031; ecm: B1 = 1e6; sigma = 1:1664073337 Sep 15, 2024 n = 7751: 2508815958146815988829093095690279; ecm: B1 = 1e6; sigma = 0:10977665072412782587 Sep 15, 2024 n = 7885: 19715636275865932733299589027883883203241; ecm: B1 = 1e6; sigma = 1:3605802901 Sep 15, 2024 n = 8065: 60524026956189845504863462287391241; ecm: B1 = 1e6; sigma = 0:13156499177556375355 Sep 15, 2024 n = 8087: 676176399587129808611509701831277; ecm: B1 = 1e6; sigma = 0:7093308573280539123 Sep 15, 2024 n = 8123: 4814330511191140848342973783129; ecm: B1 = 1e6; sigma = 0:10440896923169321451 Sep 15, 2024 n = 8357: 20176718421494524195035668600213; ecm: B1 = 1e6; sigma = 0:12798764993499092605 Sep 15, 2024 n = 8377: 5687690333174390215382594316043; ecm: B1 = 1e6; sigma = 1:1156762131 Sep 15, 2024 n = 8387: 10938520602149818569869171575609; ecm: B1 = 1e6; sigma = 1:1664073337 Sep 15, 2024 n = 8449: 1866759297062204231700511602262397; ecm: B1 = 1e6; sigma = 0:10547514346612664537 Sep 15, 2024 n = 8527: 243375472861762690397991792264917; ecm: B1 = 1e6; sigma = 0:11990104957816418499 Sep 15, 2024 n = 8549: 15925358773101069259411105353519319; ecm: B1 = 1e6; sigma = 0:6603285319019973935 Sep 15, 2024 n = 8665: 25409864545263329255648473295928871; ecm: B1 = 1e6; sigma = 0:9616308672479705735 Sep 15, 2024 n = 8781: 416828196947164610392504584224599; ecm: B1 = 1e6; sigma = 0:17365221873064881403 Sep 15, 2024 n = 8833: 1063599702251709943979714751587; ecm: B1 = 1e6; sigma = 1:1652174903 Sep 15, 2024 n = 8857: 3112229527773266800727250108835512151; ecm: B1 = 1e6; sigma = 0:12466699163099994441 Sep 15, 2024 n = 8861: 514228458427027657041198238405757; ecm: B1 = 1e6; sigma = 0:8906779298094550009 Sep 15, 2024 n = 9295: 13812317980966297693444361767795561; ecm: B1 = 1e6; sigma = 0:5963013522829996799 Sep 15, 2024 n = 9581: 95233941496960508695109319521; ecm: B1 = 1e6; sigma = 1:1751343877 Sep 15, 2024 n = 9879: 622083644065230480047758412090677; ecm: B1 = 1e6; sigma = 0:1038547052753189993 Sep 15, 2024 n = 9965: 50664542210486897314398938301663311; ecm: B1 = 1e6; sigma = 0:17127812835675519603 **Sep 15, 2024 n = 8655: 127381682260506697042031958031; ecm: B1 = 1e6; sigma = 0:9616308672479705735 * this factor is included in other factor collections, but is missing in my list so far ** this factor was also found by Kurt Beschorner mit B1=1e6, sigma=0:2925821086176721 - Found by Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Oliver Kruse, Kurt Beschorner Sep 09, 2024 n = 471: 1640259175221723797786233348156700513564345502781851447654042775375772294825108377125627674387206196531834389323135517030822828838413 ;SNFS A big thank to Oliver Kruse for carrying out Filtering-, Linear Algebra- and Square Root-Step Details: - R471: SNFS-difficulty = 314 - Compile remdups with the necessary lpb size the relations need to be aggregated and cleaned. Run remdups on the total file. - use CADO-NFS to perform singleton and clique removal, since msieve was giving weird results with that many relations - compile CADO-NFS from GIT using FLAGS_SIZE='-DSIZEOF_P_R_VALUES=8'. - use dup1 to make sure all relations are in a format that CADO-NFS does understand (and to split the relations file for dup2). (also see Note A.) - execute freerel to get a renumber table (necessary for dup2 and later to convert relations back to msieve format). - use check_rels to make sure all relations are not only syntactically, but also semantically correct. This needs to be compiled half-manually. (also see Note A here, too.) - count the exact number of relations per output file of dup2. It is a required input for purge. - execute dup2. - execute purge with -keep 0. (Also see Note B.) - convert all relations back to msieve format using convert_rels, which must be compiled half-manually. (also see Note C.) Use msieve to build a matrix. Target density must be set such that the resulting matrix is indicated to take up less than (around) 40 % of the available VRAM of the GPU that should be used to solve it. Compress the matrix and upload it to the GPU system while preparing msieve-GPU. Perform LA on a GPU. Only move back the .dep file. Use it to perform the square root with msieve. General notes: In most cases, zstd was used to compress intermediate data instead of gz. The main advantage for this project was a much better compression and also decompression speed. All msieve invocations can be done using a normal msieve executable without CUDA. Only step 7 requires CUDA. VBITS must be the same for all, though. Note A: It looks like we were using a suboptimal version of remdups. It was creating Windows-like line breaks (\r\n) after each relation, which CADO does not like at all. It took some time to figure out that this was the reason CADO rejected the input files. It had not helped that I used the wrong input file at least twice for dup1. At first, we had multiple problems with the relations going into dup2, too. Unlike msieve, CADO will not tolerate malformed or otherwise invalid relations at all and will exit immediately upon coming across such a relation. So, it was necessary to run all relations through CADOs check_rels. Note B: CADOs purge can be really memory hungry. Combined with running it in WSL instead natively in Linux, it required moving to a 256 GB machine. You can reduce memory usage by increasing the minimum ideal that is taken into account, but this will lead to a bigger matrix. Interestingly, using a single input file here uses less memory than using multiple ones. Note C: Because purge puts a header into the output file, convert_rels was unable to read it. This was only obvious after it already ran for around half an hour. The workaround was to rewrite the file completely, since using named pipes (which is officially supported by CADO) did not work. Additionally, since last time around, I forgot to inform the CADO team of another important bug in convert_rels, which lead to a crash multiple times such that I needed to resume this step from the beginning. Msieve v. 1.54 (SVN Unversioned directory) random seeds: 22542d19 700fd33a Using 24 OpenMP threads factoring 1965855492352837291404845479654790137388296457407020488269903568174723758784689544879875331228364955840869702567549967104798287157041292434187430297308705569214878772495168471094461040429176109825875894905836601377280929371811156517642415988656250783860548270986479505416039357494202079267278420861079 (301 digits) no P-1/P+1/ECM available, skipping commencing number field sieve (301-digit input) R0: -10000000000000000000000000000000000000000000000000000 R1: 1 A0: 1 A1: 0 A2: 0 A3: 10 A4: 0 A5: 0 A6: 100 skew 0.64, size 2.684e-15, alpha -0.127, combined = 1.160e-15 rroots = 0 commencing relation filtering setting target matrix density to 110.0 estimated available RAM is 130983.0 MB commencing duplicate removal, pass 1 skipped 195759 relations with b > 2^32 found 14183037 hash collisions in 256635802 relations added 812721 free relations commencing duplicate removal, pass 2 found 0 duplicates and 257448523 unique relations memory use: 852.8 MB reading ideals above 720000 commencing singleton removal, initial pass memory use: 6024.0 MB reading all ideals from disk memory use: 13898.6 MB keeping 255321547 ideals with weight <= 200, target excess is 1416068 commencing in-memory singleton removal begin with 257448523 relations and 255321547 unique ideals reduce to 255910332 relations and 253781718 ideals in 10 passes max relations containing the same ideal: 200 removing 2120221 relations and 1877233 ideals in 242988 cliques commencing in-memory singleton removal begin with 253790111 relations and 253781718 unique ideals reduce to 253783216 relations and 251897583 ideals in 6 passes max relations containing the same ideal: 200 removing 1774348 relations and 1531360 ideals in 242988 cliques commencing in-memory singleton removal begin with 252008868 relations and 251897583 unique ideals reduce to 252003594 relations and 250360945 ideals in 6 passes max relations containing the same ideal: 200 relations with 0 large ideals: 35079 relations with 1 large ideals: 3674 relations with 2 large ideals: 59481 relations with 3 large ideals: 659291 relations with 4 large ideals: 4064521 relations with 5 large ideals: 15366490 relations with 6 large ideals: 37495822 relations with 7+ large ideals: 194319236 commencing 2-way merge reduce to 144312791 relation sets and 142670142 unique ideals commencing full merge memory use: 20048.0 MB found 70134540 cycles, need 70072342 weight of 70072342 cycles is about 8409316266 (120.01/cycle) distribution of cycle lengths: 1 relations: 4697219 2 relations: 5089969 3 relations: 5433471 4 relations: 5432869 5 relations: 5495154 6 relations: 5428351 7 relations: 5211829 8 relations: 4928798 9 relations: 4532377 10+ relations: 23822305 heaviest cycle: 28 relations commencing cycle optimization start with 560882223 relations pruned 19098959 relations memory use: 16245.5 MB distribution of cycle lengths: 1 relations: 4697219 2 relations: 5208416 3 relations: 5636060 4 relations: 5617967 5 relations: 5717993 6 relations: 5624587 7 relations: 5413703 8 relations: 5076769 9 relations: 4648077 10+ relations: 22431551 heaviest cycle: 28 relations RelProcTime: 4571 elapsed time 01:16:23 Msieve v. 1.54 (SVN 03e8738) random seeds: 95b0afac d58c1bc1 Using 32 OpenMP threads factoring 1965855492352837291404845479654790137388296457407020488269903568174723758784689544879875331228364955840869702567549967104798287157041292434187430297308705569214878772495168471094461040429176109825875894905836601377280929371811156517642415988656250783860548270986479505416039357494202079267278420861079 (301 digits) no P-1/P+1/ECM available, skipping commencing number field sieve (301-digit input) R0: -10000000000000000000000000000000000000000000000000000 R1: 1 A0: 1 A1: 0 A2: 0 A3: 10 A4: 0 A5: 0 A6: 100 skew 0.64, size 2.684e-15, alpha -0.127, combined = 1.160e-15 rroots = 0 commencing linear algebra using VBITS=256 read 70072342 cycles cycles contain 250842437 unique relations read 250842437 relations using 20 quadratic characters above 4294917295 building initial matrix memory use: 33524.4 MB read 70072342 cycles matrix is 70072165 x 70072342 (33432.7 MB) with weight 9689382635 (138.28/col) sparse part has weight 7993393340 (114.07/col) filtering completed in 2 passes matrix is 70071650 x 70071825 (33432.7 MB) with weight 9689366449 (138.28/col) sparse part has weight 7993389930 (114.07/col) matrix starts at (0, 0) matrix is 70071650 x 70071825 (33432.7 MB) with weight 9689366449 (138.28/col) sparse part has weight 7993389930 (114.07/col) saving the first 240 matrix rows for later matrix includes 256 packed rows matrix is 70071410 x 70071825 (31241.0 MB) with weight 7385816689 (105.40/col) sparse part has weight 7068490644 (100.87/col) Msieve v. 1.54 (SVN unknown) random seeds: 251b2ce5 114b0fd1 Using 32 OpenMP threads factoring 1965855492352837291404845479654790137388296457407020488269903568174723758784689544879875331228364955840869702567549967104798287157041292434187430297308705569214878772495168471094461040429176109825875894905836601377280929371811156517642415988656250783860548270986479505416039357494202079267278420861079 (301 digits) no P-1/P+1/ECM available, skipping commencing number field sieve (301-digit input) R0: -10000000000000000000000000000000000000000000000000000 R1: 1 A0: 1 A1: 0 A2: 0 A3: 10 A4: 0 A5: 0 A6: 100 skew 0.64, size 2.684e-15, alpha -0.127, combined = 1.160e-15 rroots = 0 commencing linear algebra using VBITS=256 skipping matrix build matrix starts at (0, 0) matrix is 70071650 x 70071825 (33432.7 MB) with weight 9689366449 (138.28/col) sparse part has weight 7993389930 (114.07/col) saving the first 240 matrix rows for later matrix includes 256 packed rows matrix is 70071410 x 70071825 (31241.0 MB) with weight 7385816689 (105.40/col) sparse part has weight 7068490644 (100.87/col) using GPU 0 (NVIDIA H100 PCIe) selected card has CUDA arch 9.0 commencing Lanczos iteration memory use: 73708.7 MB linear algebra at 0.0%, ETA 75h36m checking every 10000 dimensions, checkpointing every 930000 dimensions lanczos halted after 274538 iterations (dim = 70071410) recovered 40 nontrivial dependencies BLanczosTime: 276117 elapsed time 76:41:59 Msieve v. 1.54 (SVN 03e8738) random seeds: d6ea5a4e 0e0c5aab Using 32 OpenMP threads factoring 1965855492352837291404845479654790137388296457407020488269903568174723758784689544879875331228364955840869702567549967104798287157041292434187430297308705569214878772495168471094461040429176109825875894905836601377280929371811156517642415988656250783860548270986479505416039357494202079267278420861079 (301 digits) no P-1/P+1/ECM available, skipping commencing number field sieve (301-digit input) R0: -10000000000000000000000000000000000000000000000000000 R1: 1 A0: 1 A1: 0 A2: 0 A3: 10 A4: 0 A5: 0 A6: 100 skew 0.64, size 2.684e-15, alpha -0.127, combined = 1.160e-15 rroots = 0 commencing square root phase reading relations for dependency 1 read 35037193 cycles cycles contain 125421358 unique relations read 125421358 relations multiplying 125421358 relations multiply complete, coefficients have about 4308.20 million bits initial square root is modulo 67829 sqrtTime: 2268 p133 factor: 1640259175221723797786233348156700513564345502781851447654042775375772294825108377125627674387206196531834389323135517030822828838413 p169 factor: 1198502969560954086012481725168695397135830513406164199283390644836971622395777548502750249372319768692484414977114966914781995864448420397015346304418294720261680325683 elapsed time 00:37:49 - Found by Alfred Eichhorn Sep 09, 2024 n =15091: 14845413823789711008287828293; ecm: B1 = 1e6; sigma = 2136717002765025 Sep 09, 2024 n =15149: 12301910027669319512906185199; ecm: B1 = 1e6; sigma = 8122641535983119 - Found by Kurt Beschorner Sep 06, 2024 n = 6655: 47002315541332120475432927835118351; ecm: B1 = 1e6; sigma = 0:3671949798087517 Sep 06, 2024 n =13908: 4796645886147946366365200759449; P-1: B1 = 500e6 Sep 06, 2024 n =13917: 1946882395844921741959; P-1: B1 =150e6 Sep 06, 2024 n =13917: 479634834466543489354729; P-1: B1 =150e6 Sep 06, 2024 n =33423: 1431696564802773760921; P-1: B1 = 23e6 Sep 06, 2024 n=100256: 2129531546192902994273; P-1: B1 = 55e6 Sep 06, 2024 n=100259: 7373367128510290221763; P-1: B1 = 23e6 Sep 06, 2024 n=100261: 2578509001157321; P-1: B1 = 23e6 Sep 06, 2024 n=100265: 1081414204698376192537440361; P-1: B1 = 23e6 Sep 06, 2024 n=100268: 510114955101536530235729; P-1: B1 = 55e6 Sep 06, 2024 n=100270: 92110972364038616356834631775642121; P-1: B1 = 55e6 Sep 06, 2024 n=100271: 22605675903598064150949502733; P-1: B1 = 23e6 Sep 06, 2024 n=159977: 16055910264628866119; gr-mfaktc Sep 06, 2024 n=160481: 3061777772635910203; gr-mfaktc Sep 06, 2024 n=160619: 12625299179729486347; gr-mfaktc Sep 06, 2024 n=160637: 6622464926200147133; gr-mfaktc Sep 06, 2024 n=160687: 14217364466292133721; gr-mfaktc Sep 06, 2024 n=160723: 1053461002320903707; gr-mfaktc Sep 06, 2024 n=160781: 10091891125422883573; gr-mfaktc Sep 06, 2024 n=160879: 1363625823793966609; gr-mfaktc - Found by Kurt Beschorner Aug 30, 2024 n = 9382: 9300968916181881256379682557271761; ecm: B1 = 1e6; sigma = 0:5919480135446658 Aug 30, 2024 n = 9388: 6367464694402438045010892622442009; ecm: B1 = 1e6; sigma = 0:7946659145174239 Aug 30, 2024 n = 9404: 22051978558725308479114046671949; ecm: B1 = 1e6; sigma = 0:5927629009860808 Aug 30, 2024 n =13891: 3783946127200973031121; P-1: B1 = 150e6 Aug 30, 2024 n=100243: 2801869717572335479993639; P-1: B1 = 23e6 Aug 30, 2024 n=100247: 2270707106604318898415803; P-1: B1 = 23e6 Aug 30, 2024 n=100248: 137328742232380242793; P-1: B1 = 55e6 Aug 30, 2024 n=100249: 3589469193300853; P-1: B1 = 23e6 Aug 30, 2024 n=100251: 57734074812011041; P-1: B1 = 23e6 Aug 30, 2024 n=100252: 288219713789126385282941; P-1: B1 = 55e6 Aug 30, 2024 n=158761: 672701845713258917; gr-mfaktc Aug 30, 2024 n=158849: 1725374401029737483; gr-mfaktc Aug 30, 2024 n=159233: 529647323937549359; gr-mfaktc Aug 30, 2024 n=159589: 5519361762904215599; gr-mfaktc Aug 30, 2024 n=159673: 86101299875254837; gr-mfaktc Aug 30, 2024 n=159673: 4106033786290026523; gr-mfaktc - Refound by Torbjörn Granlund These factors are included in other factor collections, but were missing in my list so far Aug 25, 2024 n = 6021: 23308378966227762884772440482213; ecm: B1 = 5e5; sigma = 1:2763443333 Aug 25, 2024 n = 6039: 618705572139372055392845874667; ecm Aug 25, 2024 n = 6077: 131250203872602296917762907; ecm Aug 25, 2024 n = 6109: 572304669039890040281668915751; ecm: B1 = 5e5; sigma = 1:2790569943 Aug 25, 2024 n = 6129: 82258264783630847326576167169759; ecm: B1 = 5e5; sigma = 1:1157681981 Aug 25, 2024 n = 6141: 7674353218561984441674367003; ecm: B1 = 1e6; sigma = 9291063370823 Aug 25, 2024 n = 6511: 29364035473504104631839304799; ecm: B1 = 5e5; sigma = 1:4134148097 Aug 25, 2024 n = 6585: 9708257864061709876965357361; ecm: B1 = 5e5; sigma = 1:1421757241 Aug 25, 2024 n = 6699: 63215543447578696429538053; ecm: B1 = 5e5; sigma = 1:4106642173 Aug 25, 2024 n = 8343: 454691884393831469612926843; ecm - Found by Anonymous Jul 31, 2024 n = 1322: 32428891213264191224745951834819424405467767 * 4620246399......P608; - Found by Anonymous Aug 22, 2024 n = 2342: 1277793770824393367115298917352334092381609; Aug 22, 2024 n = 2966: 95981284857953712560599708643474527; Aug 22, 2024 n=110158: 745282464034481898056474303437; Aug 22, 2024 n=111854: 177644219562011245398893; - Found by Kurt Beschorner Aug 21, 2024 n = 5681: 107401683479315589206835972735096277; ecm: B1 = 1e6; sigma = 0:4319425451299188 Aug 21, 2024 n = 9374: 106678980116741885690755417326646783; ecm: B1 = 1e6; sigma = 0:5204325677688199 Aug 21, 2024 n =13855: 456647776571096966682457032601; P-1: B1 = 200e6 Aug 21, 2024 n =13865: 18952458289368990140570605351; P-1: B1 = 175e6 Aug 21, 2024 n =13875: 20231400133345763391573474001; P-1: B1 = 175e6 Aug 21, 2024 n =13877: 2665599110827931151219887243864069553535617569; P-1: B1 = 175e6 Aug 21, 2024 n =13881: 613342693696505872009; P-1: B1 = 175e6 Aug 21, 2024 n =14319: 10344827787841879150524132169; P-1: B1 = 23e6 Aug 21, 2024 n =33411: 3967059885436254664099519; P-1: B1 = 23e6 Aug 21, 2024 n=157561: 5998484463028396333; gr-mfaktc Aug 21, 2024 n=157889: 6489787974242716681; gr-mfaktc Aug 21, 2024 n=157999: 98725868644107347; gr-mfaktc Aug 21, 2024 n=158591: 1270898937718055791; gr-mfaktc Aug 21, 2024 n=158731: 2774590512897177347; gr-mfaktc - Found by Torbjörn Granlund Aug 20, 2024 n = 1651: 275217017911139624191776255507977127851519; ecm: B1 = 1e6; sigma = 1:2194818103 Aug 20, 2024 n = 1841: 13025697981837238885482617576986077347; ecm: B1 = 2e6; sigma = 1:2177576267 Aug 20, 2024 n = 1891: 25728430999471065289640031125872987; ecm: B1 = 5e5; sigma = 1:3646079215 Aug 20, 2024 n = 2099: 904895108749261583158479086319155797; ecm: B1 = 1e6; sigma = 120529647102471 Aug 20, 2024 n = 2305: 216435273116164865199941012008081; ecm: B1 = 1e6; sigma = 1:2792610879 Aug 20, 2024 n = 2321: 7819586608885407861280912213052933; ecm: B1 = 2e6; sigma = 144531525929635 Aug 20, 2024 n = 2361: 15093661730388660744164111101395889; ecm Aug 20, 2024 n = 2413: 945153149166264948533842733420136547; ecm: B1 = 1e6; sigma = 30278076774429 Aug 20, 2024 n = 2453: 805882633277252112088879931097297947; ecm: B1 = 2e6; sigma = 116639200445373 Aug 20, 2024 n = 2495: 14339967467738136676523658916529111; ecm: B1 = 1e6; sigma = 1:3516144215 Aug 20, 2024 n = 2817: 19763398523108376154207863498493214803; ecm: B1 = 2e6; sigma = 1:1298358369 Aug 20, 2024 n = 2849: 1066161704325642263898000395207191477; P-1: B1 = 1e8 Aug 20, 2024 n = 2921: 2318555267727405835742851813721; ecm: B1 = 5e5; sigma = 1:4248825949 Aug 20, 2024 n = 2995: 284277203341019855415851097076878001; ecm: B1 = 2e6; sigma = 53292640982751 Aug 20, 2024 n = 3303: 17001394447702258475801953896133; ecm: B1 = 1e6; sigma = 1:164161343 Aug 20, 2024 n = 3403: 7709805385433232909996248569396122289; ecm: B1 = 1e6; sigma = 756340299292 Aug 20, 2024 n = 3613: 791933522809774878033488285297044583803; ecm: B1 = 5e5; sigma = 1:799608949 Aug 20, 2024 n = 3811: 29858372234782008133506150260148517; ecm: B1 = 1e6; sigma = 1:2792610879 Aug 20, 2024 n = 3911: 18918639432157448162617460631131878973; ecm: B1 = 5e5; sigma = 1:443161973 Aug 20, 2024 n = 3923: 44626167058457804083500990661961; ecm: B1 = 5e5; sigma = 1:2340622139 Aug 20, 2024 n = 3941: 156231445687689775996693860568271; ecm: B1 = 1e6; sigma = 1:121282519 Aug 20, 2024 n = 3977: 2354312200678631452069214594821314015641; ecm: B1 = 1e6; sigma = 756340299292 Aug 20, 2024 n = 4125: 86059536640000496045815898721001; ecm: B1 = 1e6; sigma = 1:2200366123 Aug 20, 2024 n = 4319: 9422301660512506090795954466290799; ecm: B1 = 3e6; sigma = 1:177065869 Aug 20, 2024 n = 4393: 865255910975605274092556312523773; ecm: B1 = 3e6; sigma = 1:173734405 Aug 20, 2024 n = 4543: 588604060502740427330089290043351; ecm: B1 = 1e6; sigma = 1:2991743399 Aug 20, 2024 n = 4673: 4345443283056620687247864599302382797; ecm: B1 = 1e6; sigma = 1:3966327997 Aug 20, 2024 n = 4757: 2801002227013271452145195299558637776841; ecm: B1 = 1e6; sigma = 192084558329613 Aug 20, 2024 n = 4805: 110892774637887477659990433599099441; ecm: B1 = 5e5; sigma = 1:3281332265 Aug 20, 2024 n = 5239: 48210422609883103613072789653231729; ecm: B1 = 1e6; sigma = 80482442127625 Aug 20, 2024 n = 5331: 2816300997574793172646729775188850191; ecm: B1 = 5e5; sigma = 1:1564726371 Aug 20, 2024 n = 5699: 64766941561181774734373002834423813; ecm: B1 = 5e5; sigma = 1:1274567173 Aug 20, 2024 n = 5785: 39654135024926477843166872734614906521; ecm: B1 = 5e5; sigma = 1:1199392889 Aug 20, 2024 n = 5871: 65942014250649795606197848118521; ecm: B1 = 1e6; sigma = 52967061287689 Aug 20, 2024 n = 5935: 712210020588854919195548201211311; ecm: B1 = 5e5; sigma = 1:3855436389 Aug 20, 2024 n = 5989: 36923066507963101716971022287147; ecm: B1 = 1e6; sigma = 52967061287689 Aug 20, 2024 n = 6001: 695816812023656477562394175892797; ecm: B1 = 5e5; sigma = 1:1088594985 Aug 20, 2024 n = 6323: 315438813996319438031657566306729; ecm: B1 = 25e4; sigma = 1:1373130007 Aug 20, 2024 n = 6367: 21345380483323818968803525877502810443; ecm: B1 = 5e5; sigma = 1:1564726371 Aug 20, 2024 n = 6413: 69615667805021500294627143908293; ecm: B1 = 5e5; sigma = 1:1064874425 Aug 20, 2024 n = 6425: 27345173228035282739638463755096201; ecm: B1 = 5e5; sigma = 1:916047441 Aug 20, 2024 n = 6459: 4627697372220068903113651202699449; ecm Aug 20, 2024 n = 6463: 33976933348129210891637803696471; ecm: B1 = 5e5; sigma = 1:1064874425 Aug 20, 2024 n = 6505: 771799133272450765286793118681; ecm Aug 20, 2024 n = 6531: 20515216490975134970589492865957; ecm: B1 = 5e5; sigma = 1:3134844861 Aug 20, 2024 n = 6547: 26082784537768285040784962616203; ecm: B1 = 5e5; sigma = 1:3186806677 Aug 20, 2024 n = 6579: 30501891916761369005083200765507831649; P-1: B1 = 1e8 Aug 20, 2024 n = 6627: 207229602677110354999505334024037; ecm: B1 = 1e6; sigma = 1:3318069251 Aug 20, 2024 n = 6633: 59925833228400736755484667890693; ecm: B1 = 5e5; sigma = 1:4049122495 Aug 20, 2024 n = 6635: 496404891911358902350041179362831; ecm: B1 = 5e5; sigma = 1:1293962689 Aug 20, 2024 n = 6711: 7144586569612918208700259798639; ecm: B1 = 1e6; sigma = 1:1318957861 Aug 20, 2024 n = 6749: 10793463478838927967624074051197; ecm: B1 = 1e6; sigma = 0:180146487010777 Aug 20, 2024 n = 6827: 50807343997336659532852562053547; ecm: B1 = 1e6; sigma = 1:4261948433 Aug 20, 2024 n = 6853: 4407897845005598926599049755323; ecm: B1 = 1e6; sigma = 1:105806636643035 Aug 20, 2024 n = 6855: 813532341364371691666368330069631; ecm: B1 = 5e5; sigma = 1:3404967785 Aug 20, 2024 n = 6863: 45576442660261405454027843005099279363; ecm: B1 = 5e5; sigma = 1:4017018739 Aug 20, 2024 n = 6885: 1199045447656509408148014511681; ecm: B1 = 1e6; sigma = 0:105806636643035 Aug 20, 2024 n = 6895: 345254099442479690466807243161; ecm: B1 = 5e5; sigma = 1:3951530911 Aug 20, 2024 n = 6983: 1016624078655033790209211909154053; ecm: B1 = 5e5; sigma = 1:562663719 Aug 20, 2024 n = 7011: 308573070164753259193607112742747; ecm: B1 = 5e5; sigma = 1:3092943329 Aug 20, 2024 n = 7027: 3270662421470064751270391979111641; ecm: B1 = 25e4; sigma = 1:1767257015 Aug 20, 2024 n = 7041: 350676874085293214078098349707; ecm: B1 = 1e6; sigma = 0:145129032457365 Aug 20, 2024 n = 7077: 13016598920031794002941702559; ecm: B1 = 5e5; sigma = 1:2078807511 Aug 20, 2024 n = 7079: 211936457265809995565760245520973; ecm: B1 = 5e5; sigma = 1:262151673 Aug 20, 2024 n = 7115: 69481578807619036204623270154076561; ecm: B1 = 5e5; sigma = 1:1051968875 Aug 20, 2024 n = 7155: 2363421643121012840509778918901271; ecm: B1 = 5e5; sigma = 1:3855436389 Aug 20, 2024 n = 7259: 8189484816570707340091163330635453; ecm: B1 = 5e5; sigma = 1:3485439623 Aug 20, 2024 n = 7371: 7595905095301842399593540737711; ecm: B1 = 5e5; sigma = 1:3087225587 Aug 20, 2024 n = 7403: 102810485748819791639879926615169; ecm: B1 = 5e5; sigma = 1:714400689 Aug 20, 2024 n = 7451: 1258746002886628455412882180639; ecm: B1 = 5e5; sigma = 1:1210794309 Aug 20, 2024 n = 7505: 1744960597338433533447362115952081; ecm: B1 = 1e6; sigma = 1:1393014461 Aug 20, 2024 n = 7627: 10280281551935956005167840871450787; ecm: B1 = 5e5; sigma = 1:1559371313 Aug 20, 2024 n = 7751: 147104989244161239270656842614006284071; ecm: B1 = 5e5; sigma = 1:4130667131 Aug 20, 2024 n = 7773: 624701770395169312585090935732649; ecm: B1 = 5e5; sigma = 1:1157681981 Aug 20, 2024 n = 7827: 7293854796500084099657229729157; ecm: B1 = 1e6; sigma = 1:1156762131 Aug 20, 2024 n = 7847: 99557767070717924371208413000293881; ecm Aug 20, 2024 n = 7861: 898119705955942710848729642627; ecm: B1 = 5e5; sigma = 1:2790569943 Aug 20, 2024 n = 7889: 215231103155467706279277026425453; ecm: B1 = 5e5; sigma = 1:202868745 Aug 20, 2024 n = 7897: 385449578021310700390256413787; ecm Aug 20, 2024 n = 7987: 8883682708391634937679236698173; ecm: B1 = 5e5; sigma = 1:2489921303 Aug 20, 2024 n = 8041: 15477413700845533672594920389159; ecm: B1 = 5e5; sigma = 1:3116732165 Aug 20, 2024 n = 8053: 41902595593620392086855271026079; ecm: B1 = 1e6; sigma = 1:1368566913 Aug 20, 2024 n = 8115: 1769701865578466450153518679881; ecm: B1 = 5e5; sigma = 1:3003735203 Aug 20, 2024 n = 8201: 17770709819243095708975667749958463949643; ecm: B1 = 5e5; sigma = 1:3446626047 Aug 20, 2024 n = 8237: 219464278700937029463657983203; ecm: B1 = 5e5; sigma = 1:2790569943 Aug 20, 2024 n = 8245: 4595241096933927040005468109324991; ecm: B1 = 5e5; sigma = 1:4134148097 Aug 20, 2024 n = 8257: 29619972904892450273922341588641; ecm: B1 = 1e6; sigma = 80482442127625 Aug 20, 2024 n = 8421: 891574094727581152824232840516519; ecm: B1 = 5e5; sigma = 1:1903005545 Aug 20, 2024 n = 8457: 16591431242812670951237114925751; ecm: B1 = 1e6; sigma = 9291063370823 Aug 20, 2024 n = 8477: 13155977065160004722127813180227; ecm: B1 = 5e5; sigma = 1:1088594985 Aug 20, 2024 n = 8537: 7068078234757599410245923277; ecm: B1 = 5e5; sigma = 1:1428254743 Aug 20, 2024 n = 8545: 101646283310197475908829512121; ecm: B1 = 5e5; sigma = 1:3087225587 Aug 20, 2024 n = 8575: 5293740271005338383592716601; ecm: B1 = 5e5; sigma = 1:190540483 Aug 20, 2024 n = 8577: 634815482288444139636540572011003; ecm: B1 = 5e5; sigma = 1:149514197612885 Aug 20, 2024 n = 8639: 818877774370128142691864096231; ecm: B1 = 5e5; sigma = 1:2043845067 Aug 20, 2024 n = 8735: 12192865776540531965438812912547431; ecm: B1 = 5e5; sigma = 1:2256808913 Aug 20, 2024 n = 8737: 13361685887895082160085395228039; ecm: B1 = 5e5; sigma = 1:3738655573 Aug 20, 2024 n = 8745: 2272528654159007646526616145391; ecm: B1 = 1e6; sigma = 1:2923719129 Aug 20, 2024 n = 8829: 1513085581534586859396871232498095957759; ecm: B1 = 5e5; sigma = 1:2044862669 Aug 20, 2024 n = 8869: 1628099806387144273085256658529; ecm: B1 = 5e5; sigma = 1:1772750603 Aug 20, 2024 n = 8959: 749539463454661849173837786563; ecm: B1 = 1e6; sigma = 1:2780467357 Aug 20, 2024 n = 9283: 8013308143108550298429503948087441; ecm: B1 = 5e5; sigma = 1:562663719 Aug 20, 2024 n = 9419: 5684469744053776020964152035591; ecm: B1 = 5e5; sigma = 1:121282519 Aug 20, 2024 n = 9437: 1624851391389487899053479556237; ecm: B1 = 5e5; sigma = 1:799608949 Aug 20, 2024 n = 9473: 136213632400294112039787697679; ecm: B1 = 1e6; sigma = 113918028976573 Aug 20, 2024 n = 9485: 308062384945102512389982980881; ecm: B1 = 25e4; sigma = 1:3226404411 Aug 20, 2024 n = 9655: 304548237530189995568241284486281; ecm: B1 = 5e5; sigma = 1:4248825949 Aug 20, 2024 n = 9725: 6266679657139037831692848478951; ecm: B1 = 5e5; sigma = 1:153953135 Aug 20, 2024 n = 9777: 1707913452762899722866250746001; ecm: B1 = 1e6; sigma = 1:1368566913 Aug 20, 2024 n = 9885: 1373181471814143351694865705521; ecm: B1 = 5e5; sigma = 1:2610241785 Aug 20, 2024 n = 9935: 7881330031472834202922901774150160151; ecm: B1 = 5e5; sigma = 1:153953135 - Found by Kurt Beschorner Aug 12, 2024 n = 9442: 4052157023046612121139511209683398529; ecm: B1 = 1e6; sigma = 0:3565740379605301457 Aug 12, 2024 n = 9448: 7338135276821871674079344603010953; ecm: B1 = 1e6; sigma = 0:11602320950923801947 Aug 12, 2024 n =14317: 6244588599937216531003831; P-1: B1 = 23e6 Aug 12, 2024 n=100217: 177461650174240446229859314688317; P-1: B1 = 23e6 Aug 12, 2024 n=100219: 1267861060221281; P-1: B1 = 23e6 Aug 12, 2024 n=100219: 1312970789851169; P-1: B1 = 23e6 Aug 12, 2024 n=100221: 13832902008141117617827; P-1: B1 = 23e6 - Found by Alfred Eichhorn Aug 11, 2024 n =14369: 6252123219579321033213298399; ecm: B1 = 1e6; sigma = 2508837445113559 Aug 11, 2024 n =20963: 679855362627476703188888563288481; ecm: B1 = 1e6; sigma = 2476641858178927 Aug 11, 2024 n =21929: 1442656925526309675517766997677; ecm: B1 = 1e6; sigma = 8039991546359893 Aug 11, 2024 n =21937: 8472869234992293321112289; ecm: B1 = 1e6; sigma = 4102916080405166 - Found by Kurt Beschorner Aug 05, 2024 n =14316: 57346926970351862773268747899315323798217129; P-1: B1 = 55e6 Aug 05, 2024 n =33404: 2842302772256147755172610821669; P-1: B1 = 55e6 Aug 05, 2024 n=100216: 4723351119100314857559865270748770769; P-1: B1 = 55e6 Aug 05, 2024 n=156817: 108632521422322241; gr-mfaktc Aug 05, 2024 n=156913: 5023303367908589107; gr-mfaktc - Found by Kurt Beschorner Aug 03, 2024 n = 9428: 2370468745271779901326864609926829; ecm: B1 = 1e6; sigma = 0:1560246379640767270 Aug 03, 2024 n = 9705: 76753429826310638321101265149201; ecm: B1 = 1e6; sigma = 0:861848002098196 Aug 03, 2024 n = 9795: 40441561262801004062488422962196368791; ecm: B1 = 1e6; sigma = 0:4001697049805009211 Aug 03, 2024 n =13799: 225884482231168124105632363243; P-1: B1 = 150e6 Aug 03, 2024 n =13809: 254549964727519328742841; P-1: B1 = 150e6 Aug 03, 2024 n =13837: 4585227773759256410020228867; P-1: B1 = 150e6 Aug 03, 2024 n =33402: 42216466210272128093191353979; P-1: B1 = 55e6 Aug 03, 2024 n=100191: 255101965378397273674357; P-1: B1 = 23e6 Aug 03, 2024 n=100194: 426230986986026617893247; P-1: B1 = 55e6 Aug 03, 2024 n=155579: 9514397111067708403; gr-mfaktc Aug 03, 2024 n=156059: 635634025160003827; gr-mfaktc Aug 03, 2024 n=156227: 8590295976939445399; gr-mfaktc Aug 03, 2024 n=156347: 13071673667955473161; gr-mfaktc Aug 03, 2024 n=156539: 6844820953215681911; gr-mfaktc Aug 03, 2024 n=156619: 12648044075298729563; gr-mfaktc Aug 03, 2024 n=156679: 13136467037721548159; gr-mfaktc Aug 03, 2024 n=156733: 791344277329055227; gr-mfaktc - Found by NFS@Home Jul 28, 2024 n = 730: 209567419815575088893039502374017044565180465719504614143239653652312239618655809712098924957353042723741728874079596356118568603287093812371; SNFS - Found by Alfred Eichhorn Jul 21, 2024 n =13613: 15262282368599483015998894649; ecm: B1 = 1e6; sigma = 5210964136833681 - Found by Kurt Beschorner Jul 21, 2024 n =13733: 11066901234321643251415990246667; P-1: B1 = 150e6 Jul 21, 2024 n =13739: 815051569821918488835533038711; P-1: B1 = 150e6 Jul 21, 2024 n =13751: 30084129960755867761834373333372723; P-1: B1 = 150e6 Jul 21, 2024 n =13756: 3070906950345823080010940982444870941; P-1: B1 = 400e6 Jul 21, 2024 n =13769: 238899466227509549998368631; P-1: B1 = 175e6 Jul 21, 2024 n=100187: 4212448211184003403; P-1: B1 = 23e6 Jul 21, 2024 n=154459: 654674838797941477; gr-mfaktc Jul 21, 2024 n=154897: 288575490359805653; gr-mfaktc Jul 21, 2024 n=154981: 659143481425129271; gr-mfaktc Jul 21, 2024 n=154981: 725117156196649187; gr-mfaktc Jul 21, 2024 n=155017: 1537923485747759557; gr-mfaktc Jul 21, 2024 n=155137: 6213654742199632163; gr-mfaktc - Found by Alfred Eichhorn Jun 29, 2024 n =13523: 13387751970993012362901079637; ecm: B1 = 1e6; sigma = 5381565215536551 Jun 29, 2024 n =20411: 8856502355660511775523407391; ecm: B1 = 1e6; sigma = 7929625471060670 Jun 29, 2024 n =20431: 18699538092936415160078201691271; ecm: B1 = 1e6; sigma = 1168082089032586 Jun 29, 2024 n =20483: 41932266046649700904863383587; ecm: B1 = 1e6; sigma = 3257560573251327 Jun 29, 2024 n =20641: 84562062985268488366611846511; ecm: B1 = 1e6; sigma = 7612567426602960 Jun 29, 2024 n =20717: 466634734466535006245712555307; ecm: B1 = 1e6; sigma = 146688564762787 - Found by Torbjörn Granlund Jul 16, 2024 n = 731: 1847429475936181681973479760912708743358821710551; ecm: B1 =11e6; sigma = 1:3939899409 - Found by Torbjörn Granlund Jul 14, 2024 n =3900M: 44612114135261049915172448202991314405938701; ecm: B1 =11e6; sigma = 1:2348484157 - Found by Torbjörn Granlund Jul 13, 2024 n = 1556: 1355157068675915381446032476103133130496209; ecm: B1 =11e6; sigma = 1:3330891095 - Found by Torbjörn Granlund Jul 12, 2024 n = 1408: 106110538711611081989682173453117312268289; ecm: B1 =11e6; sigma = 1:423379121 - Found by Kurt Beschorner Jul 11, 2024 n = 1525: 315847098431407555514016207329179201; P-1: B1 = 200e6 Jul 11, 2024 n =13721: 1864073211647238592948736905104361; P-1: B1 = 150e6 Jul 11, 2024 n =33395: 1523915962744198013287961; P-1: B1 = 23e6 Jul 11, 2024 n=100175: 290759670245407201; P-1: B1 = 23e6 Jul 11, 2024 n=153701: 1440092232895724267; gr-mfaktc Jul 11, 2024 n=154211: 17523178529846097809; gr-mfaktc - Found by NFS@home Jul 08, 2024 n = 365: 1304946319836672523549871511207656785231498701576036930724645238399101906921; SNFS Jul 08, 2024 n = 365: 5528825275894858698684129584828307231241005568273768148118728392440732070424671; SNFS - Found by Anonymous Jul 08, 2024 n = 8026: 11092134801718675055606994656545513411 Jul 08, 2024 n = 9034: 2112314427024188715300943526715275533 - Found by Torbjörn Granlund Jul 07, 2024 n =3740M: 813728620031462038871992677376718544646779541; ecm: B1 =11e6; sigma = 1:2213254673 - Found by Torbjörn Granlund Jul 05, 2024 n = 1538: 9287243504302734314292246493018665305411; ecm: B1 =11e6; sigma = 1:2599237159 - Found by Kurt Beschorner Jul 04, 2024 n =13687: 3352869000001257408071704371187; P-1: B1 = 150e6 Jul 04, 2024 n =13692: 448790289019202435089828835874995221; P-1: B1 = 550e6 - Found by Anonymous Jul 04, 2024 n = 3646: 7249609412129031102349676213675320028207 Jul 04, 2024 n = 5426: 421794296629383911904809584049 Jul 04, 2024 n = 5878: 1293862103310971228813269265251889 Jul 04, 2024 n = 9806: 6856501055738088117609720236405115757649 Jul 04, 2024 n = 9874: 116769305954826569316770086211501521 - Found by YOYO@home/philwire Jul 04, 2024 n = 639: 108404283009093688449943940269189804724790189486660307; ecm: B1 = 2.9e9; sigma = 10714174124914808047 - Found by Torbjörn Granlund Jul 04, 2024 n = 1484: 12934325238528583194928423610286679740731789; ecm: B1 =11e6; sigma = 1:85680977 Jul 04, 2024 n = 1654: 2014736089669888940425352477546278092192268265858033129; ecm: B1 =11e6; sigma = 1:1681499511 - Found by Kurt Beschorner Jul 04, 2024 n = 7599: 4944885332403182509417069471681; ecm: B1 = 1e6; sigma = 3792909555228110 Jul 04, 2024 n =13664: 17782554637005831866125656641; P-1: B1 = 450e6 Jul 04, 2024 n =13667: 5032044810625021177332187; P-1: B1 = 158e6 Jul 04, 2024 n=100172: 340257492271303914975039056389; P-1: B1 = 55e6 Jul 04, 2024 n=153077: 116991563943187237; gr-mfaktc Jul 04, 2024 n=153277: 283051850735220719; gr-mfaktc - Found by Alfred Eichhorn Jun 29, 2024 n =20143: 195336622099383139974192234034547; ecm: B1 = 1e6; sigma = 3729048310073734 - Found by Kurt Beschorner Jun 29, 2024 n = 6565: 967455252377753723469264601; ecm: B1 = 1e6; sigma = 5085665109651225 Jun 29, 2024 n = 7209: 245876032391282720514670601435797; ecm: B1 = 1e6; sigma = 7176496071620092 Jun 29, 2024 n =13651: 63685984885065209582819476115071; P-1: 1e6 = 165e6 Jun 29, 2024 n=152249: 667640256156011561; gr-mfaktc Jun 29, 2024 n=152407: 3863061623316166853; gr-mfaktc Jun 29, 2024 n=152417: 4384597323140904347; gr-mfaktc - Found by Alfred Eichhorn Jun 27, 2024 n =12611: 151596145122775505868566782271 * 7329415337......P12581 ecm: B1 = 1e6; sigma = 1891578441988465 - Found by Alfred Eichhorn Jun 24, 2024 n =73847: 7891144115301619472022803497889; ecm: B1 = 5e4; sigma = 430692243951430 Jun 24, 2024 n =74507: 1096611993139741046923; ecm: B1 = 5e4; sigma = 6502661398168781 Jun 24, 2024 n =74507: 144576321485621311976359; ecm: B1 = 5e4; sigma = 5710557500718102 Jun 24, 2024 n =74527: 18472086123310264797552077; ecm: B1 = 5e4; sigma = 5012480456469592 Jun 24, 2024 n =74587: 12585888766454654778477001; ecm: B1 = 5e4; sigma = 5787057121355163 Jun 24, 2024 n =74707: 2246495418530976647385485111; ecm: B1 = 5e4; sigma = 4865186604072078 Jun 24, 2024 n =74929: 23613576233446350795077641; ecm: B1 = 5e4; sigma = 3815193115992148 - Found by Torbjörn Granlund Jun 21, 2024 n = 1870: 30981838801127734361302339269066902886001; ecm: B1 =11e6; sigma = 1:3306279234 - Found by Torbjörn Granlund Jun 18, 2024 n =3540M: 154364888033739260172380158583232052475743273261; ecm: B1 =11e6; sigma = 1:1431821900 - Found by Torbjörn Granlund Jun 17, 2024 n = 891: 5768352029220733367366868921292458501408214165423363; ecm: B1 =11e7; sigma = 1:333812611 - Found by Torbjörn Granlund Jun 16, 2024 n = 1672: 545358172357012292201336067885308067971306777; ecm - Found by Torbjörn Granlund Jun 15, 2024 n = 1392: 10825430995573655349911905703088339464977; ecm - Found by Torbjörn Granlund Jun 14, 2024 n = 1792: 4560897401317754430626820629544566062629889; ecm - Found by Kurt Beschorner Jun 14, 2024 n = 7821: 10391751287135966688011512453; ecm B1 = 1e6; sigma = 409243078866167 Jun 14, 2024 n =13548: 12997605280355035463166531521403529; P-1: B1 = 500e6 Jun 14, 2024 n =13562: 15353741655549410028804307084051; P-1: B1 = 325e6 Jun 14, 2024 n =13563: 77411955285810787348651626991; P-1: B1 = 165e6 Jun 14, 2024 n =13593: 177925771645928134641547027; P-1: B1 = 150e6 Jun 14, 2024 n =13612: 17167210449977525602398480599175117101; P-1: B1 = 375e6 Jun 14, 2024 n =20032: 2505607329459631611641153; P-1: B1 = 55e6 Jun 14, 2024 n =33385: 747826005686416007231; P-1: B1 = 55e6 Jun 14, 2024 n =33387: 106504353311117769139519; P-1: B1 = 20e6 Jun 14, 2024 n=150883: 97118496609892523; gr-mfaktc Jun 14, 2024 n=150901: 563456271424457431; gr-mfaktc Jun 14, 2024 n=150919: 2079148442457322799; gr-mfaktc Jun 14, 2024 n=151171: 608634030260192639; gr-mfaktc Jun 14, 2024 n=151247: 113196576201967147; gr-mfaktc Jun 14, 2024 n=151429: 147222954843343733; gr-mfaktc Jun 14, 2024 n=151499: 146383186511736689; gr-mfaktc - Found by Torbjörn Granlund Jun 12, 2024 n = 1496: 28330881496644957570065523400505204114494529; ecm - Found by Torbjörn Granlund Jun 09, 2024 n = 1430: 82419252546478457878215964924871918728196281; ecm - Found by Yousuke Koide Jun 03, 2024 n = 938: 11562710405302740261753778982810543629872202227744910916651 * 6120646518......P312; ecm: B1 =3e8; sigma = 2:4970505043646219549 - Found by Kurt Beschorner Jun 03, 2024 n =13475: 14034822309195006833617951; P-1: B1 = 150e6 Jun 03, 2024 n =13501: 204470063667253089494397679362163; P-1: B1 = 150e6 Jun 03, 2024 n =13505: 447230547521550428905961; P-1: B1 = 160e6 Jun 03, 2024 n =33384: 7821295128811946507432484961; P-1: B1 = 55e6 Jun 03, 2024 n=100145: 668544845427588593671; P-1: B1 = 20e6 Jun 03, 2024 n=100152: 2015344433453833; P-1: B1 = 55e6 Jun 03, 2024 n=149341: 337426151183136437; gr-mfaktc Jun 03, 2024 n=149729: 522185468610743293; gr-mfaktc Jun 03, 2024 n=149893: 234739865552796839; gr-mfaktc Jun 03, 2024 n=149911: 641276195249134517; gr-mfaktc Jun 03, 2024 n=149953: 3666251351417794037; gr-mfaktc Jun 03, 2024 n=150211: 4128566210846845711; gr-mfaktc Jun 03, 2024 n=150517: 1452830539950831049; gr-mfaktc - Found by Alfred Eichhorn May 29, 2024 n =73693: 200046209932683892220519 * 8236393422......c73650; ecm B1 = 5e4; sigma = 7063252640234059 May 29, 2024 n =74279: 1643398485800760569800597963 * 6761057167......c74251; ecm B1 = 5e4; sigma = 0:3190123306072765 - Found by Sam Wagstaff May 28, 2024 n = 433: 8824028723798902981997215284751342520751929886344438185486188157; ecm - Found by Kurt Beschorner May 20, 2024 n =13391: 1793492413423312326764415268439; P-1: B1 = 400e6 May 20, 2024 n =13403: 1273543812643453522963599991; P-1: B1 = 150e6 May 20, 2024 n =13405: 369025298556704617267721; P-1: B1 = 160e6 May 20, 2024 n =13409: 194192011616958540654680651965361; P-1: B1 = 150e6 May 20, 2024 n =13410: 152178270161972061588566451931; P-1: B1 = 650e6 May 20, 2024 n=100135: 815970507695643165200161; P-1: B1 = 22e6 May 20, 2024 n=100136: 1546658379143032144324057; P-1: B1 = 22e6 May 20, 2024 n=100136: 29303671942968558470094241; P-1: B1 = 22e6 May 20, 2024 n=149099: 191666476417472557; gr-mfaktc May 20, 2024 n=149197: 6018787351196629987; gr-mfaktc - Found by Kurt Beschorner May 14, 2024 n =13310: 358431625219151747847359198249482811; P-1: B1 = 375e6 May 14, 2024 n =13317: 310201028691515049948813827173; P-1: B1 = 150e6 May 14, 2024 n =13335: 57025106614551649638121; P-1: B1 = 160e6 May 14, 2024 n =13383: 210951149080654081665994312063747; P-1: B1 = 160e6 May 14, 2024 n =13387: 10821004067230761918288895517; P-1: B1 = 150e6 May 14, 2024 n=100128: 12965255566706017; P-1: B1 = 55e6 May 14, 2024 n=100133: 1904718174391121; P-1: B1 = 18e6 May 14, 2024 n=148249: 5763577084308138631; P-1: B1 = 17e6 May 14, 2024 n=148853: 3201872038854169067; gr-mfaktc - Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Oliver Kruse, Kurt Beschorner Feb 10, 2024 n = 942: 9755872853901756680890615403191792297388117293582105055568357694889056982187114874692197915708047; SNFS Details: - R942: SNFS-difficulty = 314 Sat Nov 11 11:17:54 2023 Msieve v. 1.54 (SVN r1044) Sat Nov 11 11:17:54 2023 random seeds: 60253a75 007cd855 Sat Nov 11 11:17:54 2023 factoring 30862083832190969399642448329237079281358998786734541342232902569072683505580523380381489228423400116527554057338104357145657543175005161681489015756307835902130639405231933246244136812560041424780296737530889 (209 digits) Sat Nov 11 11:17:55 2023 no P-1/P+1/ECM available, skipping Sat Nov 11 11:17:55 2023 commencing number field sieve (209-digit input) Sat Nov 11 11:17:55 2023 R0: -10000000000000000000000000000000000000000000000000000 Sat Nov 11 11:17:55 2023 R1: 1 Sat Nov 11 11:17:55 2023 A0: 1 Sat Nov 11 11:17:55 2023 A1: 0 Sat Nov 11 11:17:55 2023 A2: 0 Sat Nov 11 11:17:55 2023 A3: -10 Sat Nov 11 11:17:55 2023 A4: 0 Sat Nov 11 11:17:55 2023 A5: 0 Sat Nov 11 11:17:55 2023 A6: 100 Sat Nov 11 11:17:55 2023 skew 0.64, size 2.684e-15, alpha -0.127, combined = 1.160e-15 rroots = 0 Sat Nov 11 11:17:55 2023 commencing relation filtering Sat Nov 11 11:17:55 2023 setting target matrix density to 130.0 Sat Nov 11 11:17:55 2023 estimated available RAM is 130983.0 MB Sat Nov 11 11:17:55 2023 commencing duplicate removal, pass 1 Sat Nov 11 11:52:23 2023 error -15 reading relation 196874611 ... Sat Nov 11 15:51:51 2023 skipped 1120644 relations with b > 2^32 Sat Nov 11 15:51:51 2023 skipped 2634 relations with composite factors Sat Nov 11 15:52:00 2023 found 325844461 hash collisions in 1439959899 relations Sat Nov 11 15:52:28 2023 commencing duplicate removal, pass 2 Sat Nov 11 17:18:01 2023 found 8457401 duplicates and 1431502498 unique relations Sat Nov 11 17:18:01 2023 memory use: 16280.0 MB Sat Nov 11 17:18:03 2023 reading ideals above 812974080 Sat Nov 11 17:18:03 2023 commencing singleton removal, initial pass Sat Nov 11 22:20:10 2023 memory use: 21024.0 MB Sat Nov 11 22:20:15 2023 reading all ideals from disk Sat Nov 11 22:22:13 2023 memory use: 26910.1 MB Sat Nov 11 22:25:23 2023 commencing in-memory singleton removal Sat Nov 11 22:28:29 2023 begin with 1431502498 relations and 1210425856 unique ideals Sat Nov 11 23:38:05 2023 reduce to 962297124 relations and 696430793 ideals in 15 passes Sat Nov 11 23:38:05 2023 max relations containing the same ideal: 53 Sat Nov 11 23:42:10 2023 reading ideals above 720000 Sat Nov 11 23:42:14 2023 commencing singleton removal, initial pass Sun Nov 12 03:28:50 2023 memory use: 21024.0 MB Sun Nov 12 03:28:54 2023 reading all ideals from disk Sun Nov 12 03:31:44 2023 memory use: 44648.7 MB ... Tue Nov 14 08:39:49 2023 commencing in-memory singleton removal Tue Nov 14 08:40:17 2023 begin with 236428517 relations and 235660066 unique ideals Tue Nov 14 08:47:03 2023 reduce to 236285362 relations and 230413441 ideals in 6 passes Tue Nov 14 08:47:03 2023 max relations containing the same ideal: 85 Tue Nov 14 08:51:28 2023 relations with 0 large ideals: 127875 Tue Nov 14 08:51:28 2023 relations with 1 large ideals: 95486 Tue Nov 14 08:51:28 2023 relations with 2 large ideals: 1301900 Tue Nov 14 08:51:28 2023 relations with 3 large ideals: 7741623 Tue Nov 14 08:51:28 2023 relations with 4 large ideals: 25166632 Tue Nov 14 08:51:28 2023 relations with 5 large ideals: 49597077 Tue Nov 14 08:51:28 2023 relations with 6 large ideals: 62285102 Tue Nov 14 08:51:28 2023 relations with 7+ large ideals: 89969667 Tue Nov 14 08:51:28 2023 commencing 2-way merge Tue Nov 14 08:56:46 2023 reduce to 150480987 relation sets and 144609066 unique ideals Tue Nov 14 08:56:47 2023 commencing full merge Tue Nov 14 10:39:21 2023 memory use: 18337.9 MB Tue Nov 14 10:39:51 2023 found 67501310 cycles, need 66981266 Tue Nov 14 10:39:56 2023 weight of 66981266 cycles is about 8707922449 (130.01/cycle) Tue Nov 14 10:39:56 2023 distribution of cycle lengths: Tue Nov 14 10:39:56 2023 1 relations: 3801061 Tue Nov 14 10:39:56 2023 2 relations: 4306316 Tue Nov 14 10:39:56 2023 3 relations: 4711699 Tue Nov 14 10:39:56 2023 4 relations: 4725778 Tue Nov 14 10:39:56 2023 5 relations: 4836562 Tue Nov 14 10:39:56 2023 6 relations: 4738034 Tue Nov 14 10:39:56 2023 7 relations: 4697005 Tue Nov 14 10:39:56 2023 8 relations: 4502168 Tue Nov 14 10:39:56 2023 9 relations: 4303068 Tue Nov 14 10:39:56 2023 10+ relations: 26359575 Tue Nov 14 10:39:56 2023 heaviest cycle: 28 relations Tue Nov 14 10:40:32 2023 commencing cycle optimization Tue Nov 14 10:44:49 2023 start with 578109023 relations Tue Nov 14 11:23:20 2023 pruned 25164870 relations Tue Nov 14 11:23:21 2023 memory use: 15674.6 MB Tue Nov 14 11:23:21 2023 distribution of cycle lengths: Tue Nov 14 11:23:21 2023 1 relations: 3801061 Tue Nov 14 11:23:21 2023 2 relations: 4418872 Tue Nov 14 11:23:21 2023 3 relations: 4910588 Tue Nov 14 11:23:21 2023 4 relations: 4919179 Tue Nov 14 11:23:21 2023 5 relations: 5064834 Tue Nov 14 11:23:21 2023 6 relations: 4959291 Tue Nov 14 11:23:21 2023 7 relations: 4926516 Tue Nov 14 11:23:21 2023 8 relations: 4712847 Tue Nov 14 11:23:21 2023 9 relations: 4494751 Tue Nov 14 11:23:21 2023 10+ relations: 24773327 Tue Nov 14 11:23:21 2023 heaviest cycle: 28 relations Tue Nov 14 11:26:57 2023 RelProcTime: 259742 Tue Nov 14 11:26:57 2023 elapsed time 72:09:03 - Linear Algebra was performed by Oliver Kruse using CADO and MSIEVE-GPU - remove duplicates with CADO - compile CADO with FLAGS_SIZE='-DSIZEOF_P_R_VALUES=8'. - run dup1. - run freerel to get the renumber table. - count the number of relations exactly (!). - run dup2. - run purge, making sure that -col-min-index is not too small and that -keep is set to 0. - convert all relations back to msieve format using convert_rels. - the version used is not yet officially available; the currently used CADO version is not error-free - build a matrix with the desired target density using msieve - upload the matrix file to LambdaLabs, while building Greg Childers msieve-GPU on the target system - execute the LA (without root step) on a rented 80-GB-VRAM ( H100); time: about 73hours! - get the dependency file (.dep) back to the local system - execute the root step (msieve -nc3) locally
| ECM efforts | |
|---|---|
| with Rn: 1 < n < 2000 (Nov 06, 2024) | with Rn: 1999 < n < 3000 (Nov 12, 2024) |
| with Rn: 2999 < n < 4000 (Sep 17, 2024) | with Rn: 3999 < n < 5000 (Nov 16, 2024) |
| with Rn: 4999 < n < 6000 (Nov 12, 2024) | with Rn: 5999 < n < 7000 (Nov 12, 2024) |
| with Rn: 6999 < n < 8000 (Nov 16, 2024) | with Rn: 7999 < n < 9000 (Nov 06, 2024) |
| with Rn: 8999 < n <10000 (Nov 12, 2024) | with Rn: 9999 < n <11000 (Nov 18, 2024) |
| with Rn: 10999 < n <12000 (Nov 15, 2024) | with Rn: 11999 < n <14980L/M (Nov 15, 2024) |
| currently ECM-efforts by yoyo@home: ecm-curves | |||||
|---|---|---|---|---|---|
| B1 = 11e7/17500 curves/ numbers < 951 digits |
643 in progress |
.... in progress |
.... in progress |
.... in progress |
.... in progress |
| B1 = 26e7/45000 curves/ numbers < 600 digits |
617 in progress |
619 in progress |
625 in progress |
629 in progress |
.... in progress |
| B1 = 85e7/70000 curves/ numbers < 400 digits |
539 in progress |
579 in progress |
.... in progress |
.... in progress |
.... in progress |
| B1 = 29e8/nnnn curves/ numbers < 400 digits |
1146 in progress |
.... in progress |
.... in progress |
.... in progress |
.... in progress |
| Factorizations | |
|---|---|
| Repunits: R1 - R2500 (Oct 26, 2024) | Repunits: R2501 - R5000 (Nov 12, 2024) |
| Repunits: R5001 - R7500 (Nov 12, 2024) | Repunits: R7501 - R10000 (Nov 06, 2024) |
| Repunits: R10001 - R12500 (Nov 15, 2024) | Repunits: R12501 - R14980L/M (Feb 27, 2024) |
| Exponent | Primes/PRP found by ... |
| - 10ˆ10 | R2 = prime |
| - 10ˆ20 | R19 = prime |
| - 10ˆ100 | R23 = prime |
| - 10ˆ1000 | R317 = prime |
| - 10ˆ10000 | R1031 = prime WD (Dec 1985) |
| - 10ˆ50000 | R49081 = prime Paul Underwood (Mar 2022) |
| - 10ˆ100000 | R86453 = prime Andreas Enge (May 15, 2023) |
| - 10ˆ250000 | R109297 = PRP Paul Bourdelais - Harvey Dubner (Apr 2007) |
| - 10ˆ500000 | R270343 = PRP Maksym Voznyy - Anton Budnyy (Jul 2007) |
| - 10ˆ7500000 | R5794777 = PRP S. Batalov - Ryan Propper (Apr 2021) |
| - 10ˆ10000000 | R8177207 = PRP S. Batalov - Ryan Propper (May 2021) |