Factorizations of repunit numbers of the form (10n-1)/9 (111111...)


related links     news     ecm efforts     currently efforts by YOYO     factor tables     Rprime project    

Related links:


News

-  Last update: Dec 06, 2023    

- Found by Alfred Reich
   Dec 06, 2023  n =10710: 35796682173053028162358962001;                           ecm: B1 = 1e6    
   Dec 06, 2023  n =10734: 2614042951033680019624870081;                            ecm: B1 =25e4; sigma = 7989499509182453   
   Dec 06, 2023  n =10736: 23833035179077111324245900289;                           ecm: B1 =25e4; sigma = 2401096546753386   
   Dec 06, 2023  n =10846: 79743601441260353939635797344699;                        ecm: B1 =25e4; sigma = 1280250833160802   
   Dec 06, 2023  n =10846: 10305097943509542737876418011074291;                     ecm: B1 =25e4; sigma = 1452405752900911   
   Dec 06, 2023  n =10864: 16717412159798663380636472177;                           ecm: B1 =25e4; sigma = 3501656591714898   
   Dec 06, 2023  n =10880: 6583700555707288764935464961;                            ecm  
   Dec 06, 2023  n =10892: 1431524229570210282674041885081;                         ecm: B1 =25e4; sigma = 274494665663402   
   Dec 06, 2023  n =10974: 13614572979286286502530862521731;                        ecm: B1 =25e4; sigma = 8574888540092621   
   Dec 06, 2023  n =10986: 4742648965537267382209475329;                            ecm   
   Dec 06, 2023  n =10990: 566556816853418729839417001;                             ecm: B1 =25e4; sigma = 8143587754056583   
   Dec 06, 2023  n =11032: 4733344496763640974691920410617;                         ecm 
   Dec 06, 2023  n =11036: 294573797733621430922028523081;                          ecm  
   Dec 06, 2023  n =11040: 273936751955640120264911619220481281;                    ecm   
   Dec 06, 2023  n =11142: 78670807981822580935210744213;                           ecm: B1 =25e4; sigma = 1749671451701082   
   Dec 06, 2023  n =11142: 22878072073574740342173268358677;                        ecm    
   Dec 06, 2023  n =11144: 70776007670260938515176443424241;                        ecm   
   Dec 06, 2023  n =11158: 109342335162557559820950948449;                          ecm   
   Dec 06, 2023  n=11180L: 43109862431095754405502938723895830021;                  ecm: B1 = 1e6; sigma = 5766415734821624   
 

- Found by Alfred Reich
   Dec 05, 2023  n =10044: 3509666446206038833200247248934261;                      ecm: B1 = 1e6   
   Dec 05, 2023  n =10104: 6833677108807566221162771353;                            ecm: B1 =25e4; sigma = 5192883634494258  
   Dec 05, 2023  n =10114: 353989925848089079688725717;                             ecm: B1 = 1e6    
   Dec 05, 2023  n=10140M: 2436144256806549278816304841766521;                      ecm: B1 = 1e6; sigma = 4269760531388494  
   Dec 05, 2023  n =10146: 26997089882023554065050647487;                           ecm: B1 =25e4; sigma = 3085554172229915  
   Dec 05, 2023  n =10184: 263885804679070843418765746777;                          ecm: B1 =25e4; sigma = 8059674445685233  
   Dec 05, 2023  n =10212: 33863912875093999206232116889;                           ecm: B1 =25e4; sigma = 7771791660841895  
   Dec 05, 2023  n =10278: 1271336911345670755962274157706373;                      ecm: B1 = 1e6   
   Dec 05, 2023  n =10290: 20609416109558830884710453048641;                        ecm: B1 = 1e6  
   Dec 05, 2023  n =10296: 5138691388453283579044637023657;                         ecm: B1 =25e4; sigma = 4690903349033476  
   Dec 05, 2023  n=10300L: 3084961300150313228164771903601;                         ecm: B1 = 1e6; sigma = 5931807759191593  
   Dec 05, 2023  n =10390: 6297314449925751811095831703291;                         ecm: B1 =25e4; sigma = 7277559785443048
   Dec 05, 2023  n =10400: 449377256065640299076743211201;                          ecm: B1 = 1e6 
   Dec 05, 2023  n =10430: 5506555219001197578483166576058321;                      ecm: B1 =25e4;sigma = 4195558632660638
   Dec 05, 2023  n=10460M: 1654197225702151569871794147515981;                      ecm: B1 = 1e6; sigma = 8961296191146470
   Dec 05, 2023  n =10466: 849548295805235962464403571;                             ecm: B1 =25e4; sigma = 1892603705809961
   Dec 05, 2023  n =10468: 155877138435373547572927930429;                          ecm: B1 =25e4; sigma = 2684674907003083
   Dec 05, 2023  n =10528: 19707705753382679457016969672961;                        ecm: B1 = 1e6
   Dec 05, 2023  n =10536: 519869419641421270740861805714609;                       ecm: B1 =25e4; sigma = 7873899253677412
   Dec 05, 2023  n =10626: 1807142496185531588169576930133;                         ecm: B1 =25e4; sigma = 7471964964546541
   Dec 05, 2023  n =10662: 4340238020763701194801320943;                            ecm: B1 =25e4; sigma = 3022745758241843
   Dec 05, 2023  n =10688: 41978165177091855371862051584944876801;                  ecm: B1 = 1e6; sigma = 8037239063411734
   Dec 05, 2023  n =10694: 432751648031422504739927880493;                          ecm: B1 =25e4; sigma = 6090573179375342
 

-  Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt Beschorner 
   Dec 04, 2023   R471/c301: SNFS-difficulty = 314 
                  190M unique raw relations of 2200M are collected
                  currently progress 8 %;    


- Found by Alfred Reich
   Dec 04, 2023  n = 4464: 4073159644357601328532356620449
   Dec 04, 2023  n = 4522: 139370164384644050314672704643967;                       ecm: B1 =25e4; sigma = 8954905158717604   
   Dec 04, 2023  n = 4632: 1289096563711372002926829150477841
   Dec 04, 2023  n = 4776: 13436536273725804100925580121993;                        ecm: B1 =25e4; sigma = 7066802077149905  
   Dec 04, 2023  n = 5284: 8454032303192889801996450518846141;                      ecm: B1 =25e4; sigma = 4125464060568522  
   Dec 04, 2023  n = 5368: 62122124071515581723854400288137;                        ecm: B1 =25e4; sigma = 140939894682864  
   Dec 04, 2023  n = 5422: 1051066137192328479468110659013;                         ecm: B1 =25e4; sigma = 6952647633626762  
   Dec 04, 2023  n = 5884: 3058689184663378251574301858909;                         ecm: B1 = 1e6; sigma = 7568216416388056  
   Dec 04, 2023  n =7340L: 477831525305437062109716658084501;                       ecm: B1 = 1e6; sigma = 5024719558757432
   Dec 04, 2023  n =7580L: 87159362101481740517001218256521;                        ecm: B1 = 1e6; sigma = 2241842162389415
   Dec 04, 2023  n = 9114: 786201787103280005285496252487;                          ecm: B1 =25e4; sigma = 2288447336328953
   Dec 04, 2023  n = 9246: 323677253610521715453336360343;                          ecm: B1 =25e4; sigma = 3587890281017556
   Dec 04, 2023  n = 9552: 37546973571925664863740771658561;                        ecm: B1 =25e4; sigma = 1776484864751999
   Dec 04, 2023  n =9700L: 4969601069784988463268621152055001;                      ecm: B1 = 1e6; sigma = 8056443970730723
   Dec 04, 2023  n =9980M: 60234262492879691702075574502509744041;                  ecm: B1 = 1e6; sigma = 4665038576763356


- Found by Alfred Reich
   Dec 03, 2023  n = 2108: 110751832648927548270211493859285869;                    ecm: B1 = 1e6; sigma = 3981907705225045  
   Dec 03, 2023  n = 2316: 121281361155185115284360748638810161;                    ecm: B1 = 1e6; sigma = 3334156162790901  
   Dec 03, 2023  n = 3154: 219119174290471302336478616276327;                       ecm: B1 =25e4; sigma = 1730185576177295  
   Dec 03, 2023  n = 3424: 192899892427245648869802303747649;                       ecm: B1 =25e4; sigma = 7216501359179738  
   Dec 03, 2023  n = 3562: 11609661475352502743102554686451841                      ecm: B1 = 1e6 
   Dec 02, 2023  n =25157: 3112058211120753467
   Dec 02, 2023  n =59617: 32810904176004499333
   Dec 02, 2023  n =59721: 1343886781559495533
   Dec 02, 2023  n =75351: 4312005346340563
   Dec 02, 2023  n =75423: 166435391959477
   Dec 02, 2023  n =75443: 2000175000119631961
   Dec 02, 2023  n =75469: 449229598511009957
   Dec 02, 2023  n =13014: 538422321809550234023713787438053
   Dec 02, 2023  n =13088: 181489326220403453473385089
   Dec 02, 2023  n =13194: 45605572211943725619524722489
   Dec 02, 2023  n =13224: 1033608791881119528268608949201
   Dec 02, 2023  n =13266: 66459843765361011513665238859
   Dec 02, 2023  n =13330: 899288181025609298589451811
   Dec 02, 2023  n =13402: 1325020203882882491988283762857527143601
   Dec 02, 2023  n =13416: 4511972017177082438902128105965977
   Dec 02, 2023  n =13422: 1412455499008436832973518368096851
   Dec 02, 2023  n =13468: 6447151802547309858178954781
   Dec 02, 2023  n =13518: 1380670659940629297229785352927
   Dec 02, 2023  n =13624: 2700991999183848374581519791889
   Dec 02, 2023  n =13806: 7333265918796786258909969532807
   Dec 02, 2023  n =13816: 277380446644632454072729287434081
   Dec 02, 2023  n =13854: 13692159708141465231011039611807
   Dec 02, 2023  n =13966: 2504187718724334808509527799379
   Dec 02, 2023  n =13976: 18450356402999009580102769
   Dec 02, 2023  n =13982: 285781244750230963200913072103 
   Dec 02, 2023  n =18054: 23799690398333292367077896232691
   Dec 02, 2023  n =19302: 1773158200703234507738256973
   Dec 02, 2023  n =19342: 321022246404000995998683536554693
   Dec 02, 2023  n =19410: 1148583193282780200886411
   Dec 02, 2023  n =19414: 394270924012136834810761
   Dec 02, 2023  n =19470: 268129865713892031162748051
   Dec 02, 2023  n =19830: 11050479033199302437357327803441


- Found by Alfred Reich
   Dec 02, 2023  n = 9441: 28447409899526653663328563806529;                        ecm: B1 = 1e6; sigma = 1937559634727706       
   Dec 02, 2023  n = 9467: 51889069609651237080450687209;                           ecm: B1 = 1e6; sigma = 6543716419097254       
   Dec 02, 2023  n = 9485: 240508747033210205666928083079361;                       ecm: B1 = 1e6; sigma = 2915203195235352       
   Dec 02, 2023  n = 9485: 84739254965223666396380681;                              ecm: B1 = 1e6; sigma = 5616675784343519       
   Dec 02, 2023  n = 9487: 418793066825797329670878831901231;                       ecm: B1 = 1e6; sigma = 8133375494245659       
   Dec 02, 2023  n = 9491: 21979844186013617380035470641;                           ecm: B1 = 1e6; sigma = 7935065458926383       
   Dec 02, 2023  n = 9503: 862142572316194400785564407479603;                       ecm: B1 = 1e6; sigma = 2607059118823442       
   Dec 02, 2023  n = 9557: 395135483058773522883546942403;                          ecm: B1 = 1e6; sigma = 2482941442020327       
   Dec 02, 2023  n = 9631: 7772574764246929387623101347;                            ecm: B1 = 1e6; sigma = 606204113847226       
   Dec 02, 2023  n = 9665: 685135645627741628731486925874961;                       ecm: B1 = 1e6; sigma = 6570477778743134       
   Dec 02, 2023  n = 9681: 29213932357804604657986050924902893;                     ecm: B1 = 1e6; sigma = 5664563490415577       
   Dec 02, 2023  n = 9803: 50448620736048019772002530602616203399;                  ecm: B1 = 1e6; sigma = 1608692820851863       
   Dec 02, 2023  n = 9857: 1716539790747015924670984891123;                         ecm: B1 = 1e6; sigma = 3886954758763170       
   Dec 02, 2023  n = 9923: 87828623457526971880429652641;                           ecm: B1 = 1e6; sigma = 7678721013567546       
   Dec 02, 2023  n = 9935: 114725274908475516636454951;                             ecm: B1 = 1e6; sigma = 342236290610825       
   Dec 02, 2023  n =12187: 14983271488276887276131431439;                           ecm: B1 = 5e5; sigma = 4302276563564493 


- Found by Anonymous   
   Dec 02, 2023  n =  697: 16686233864879961607944220003247950213831  


- Found by Alfred Reich
   Dec 01, 2023  n = 7437: 24405209094933616380026638467427;                        ecm: B1 =25e4; sigma = 43405703069855
   Dec 01, 2023  n = 7439: 50017017342099231829139432431;                           ecm: B1 = 1e6; sigma = 6075575941727173
   Dec 01, 2023  n = 7493: 2534736697158633879908321249;                            ecm: B1 =25e4; sigma = 1546215251515436
   Dec 01, 2023  n = 7543: 4945041196293403351875246449;                            ecm: B1 =25e4; sigma = 2675904057718003
   Dec 01, 2023  n = 7567: 15074954348923820653242655093;                           ecm: B1 =25e4; sigma = 4801305133737132
   Dec 01, 2023  n = 7609: 5125562885828092026473914649;                            ecm: B1 =25e4; sigma = 8568200133248753
   Dec 01, 2023  n = 7743: 26264335542188809544847319249;                           ecm: B1 =25e4; sigma = 6206448993070519
   Dec 01, 2023  n = 7767: 586816979117326226695573902649;                          ecm: B1 = 1e6; sigma = 7439442200899149
   Dec 01, 2023  n = 7775: 93295746045063221650902490151;                           ecm: B1 =25e4; sigma = 5570653603985745
   Dec 01, 2023  n = 7775: 763678554114926956832118878548951;                       ecm: B1 =25e4; sigma = 89601659944797
   Dec 01, 2023  n = 7779: 153334409644340061356510089;                             ecm: B1 =25e4; sigma = 2652809239550290
   Dec 01, 2023  n = 7887: 4045116607697655165732962467;                            ecm: B1 =25e4; sigma = 4961907772991478
   Dec 01, 2023  n = 7989: 618896625768106055837065414117;                          ecm: B1 =25e4; sigma = 5938790099719211
   Dec 01, 2023  n = 7991: 63078544145593552230955654147;                           ecm: B1 = 1e6; sigma = 997698125195567
   Dec 01, 2023  n = 8207: 23867175190156771392155449907;                           ecm: B1 = 1e6; sigma = 5586438614977362
   Dec 01, 2023  n = 8373: 42367721553653826036619232311;                           ecm: B1 =25e4; sigma = 836513650353019
   Dec 01, 2023  n = 8401: 2990103301933401503632707521;                            ecm: B1 =25e4; sigma = 6538812882483945
   Dec 01, 2023  n = 8445: 217597666189171124766919056961;                          ecm: B1 =25e4; sigma = 1377310345635463
   Dec 01, 2023  n = 8617: 19068881916559430991530291231;                           ecm: B1 = 1e6; sigma = 2245427267735698
   Dec 01, 2023  n = 8703: 2861677164525710272174489681;                            ecm: B1 =25e4; sigma = 3516137925810588
   Dec 01, 2023  n = 8757: 6501614667533367465216350197;                            ecm: B1 =25e4; sigma = 5813444360528495
   Dec 01, 2023  n = 8765: 775148940765993389891398231;                             ecm: B1 =25e4; sigma = 1546971210412375
   Dec 01, 2023  n = 8845: 6300694249582249996479337321;                            ecm: B1 =25e4; sigma = 7771657433845530
   Dec 01, 2023  n = 8971: 8607880704895330511293748917;                            ecm: B1 =25e4; sigma = 4940192527925863
   Dec 01, 2023  n = 9281: 3561843716225618788620385240109569;                      ecm: B1 = 1e6; sigma = 6636591070944322
   Dec 01, 2023  n = 9319: 13686296227177089324038677687625782071431917;            ecm: B1 = 1e6; sigma = 8896092480821521
   Dec 01, 2023  n = 9367: 2948454956885524209902060758495973;                      ecm: B1 = 1e6; sigma = 7854591810356035
   Dec 01, 2023  n = 9403: 40469737552222992552820911853;                           ecm: B1 = 1e6; sigma = 8434775591329894
   Dec 01, 2023  n = 9437: 487190641830438327935526312661199;                       ecm: B1 = 1e6; sigma = 4362731883683361
   Dec 01, 2023  n =14793: 185909069843365983991
   Dec 01, 2023  n =14833: 2899387442386163
   Dec 01, 2023  n =14835: 49815388166779366670650801
   Dec 01, 2023  n =15177: 752915375712391729
   Dec 01, 2023  n =15433: 2934972774924292492787
   Dec 01, 2023  n =15573: 16469867220449418757
   Dec 01, 2023  n =15821: 1233099267925015581169
   Dec 01, 2023  n =15905: 9592331084416135271
   Dec 01, 2023  n =16407: 351864944322230245321
   Dec 01, 2023  n =17081: 57383574088987205675831
   Dec 01, 2023  n =17415: 76278648706540831
   Dec 01, 2023  n =17445: 24743112868447704631
   Dec 01, 2023  n =17577: 144920622911118013
   Dec 01, 2023  n =17585: 394527107813391163601
   Dec 01, 2023  n =17715: 18439604184328869511
   Dec 01, 2023  n =17855: 123307525518697716401
   Dec 01, 2023  n =17883: 665735016612509266378246471
   Dec 01, 2023  n =17911: 6921313400607664724089279
   Dec 01, 2023  n =17915: 15738156037290671
   Dec 01, 2023  n =17971: 2425904212969947365572831
   Dec 01, 2023  n =17987: 350055188538534894848933
   Dec 01, 2023  n =17995: 211380153747848681
   Dec 01, 2023  n =18135: 148486402404340930801
   Dec 01, 2023  n =18273: 2318559346353688472575951
   Dec 01, 2023  n =18585: 307748635687444973197681
   Dec 01, 2023  n =18853: 2128179823986503747
   Dec 01, 2023  n =18857: 1553444968725824547457701075467
   Dec 01, 2023  n =18915: 253732322728060801
   Dec 01, 2023  n =18941: 4798371774951658333
   Dec 01, 2023  n =19135: 27351189240811958111
   Dec 01, 2023  n =19171: 42968547141926472495070667
   Dec 01, 2023  n =19201: 1803565405771978213
   Dec 01, 2023  n =19261: 119636207033512907
   Dec 01, 2023  n =19287: 2601410788345476293093197
   Dec 01, 2023  n =19305: 209178833773070784990511
   Dec 01, 2023  n =19353: 1334029206191107
   Dec 01, 2023  n =19555: 71827918977615230471
   Dec 01, 2023  n =19737: 17101632797217883
   Dec 01, 2023  n =21485: 7659193961472401911
   Dec 01, 2023  n =21953: 50374008288988179499321
   Dec 01, 2023  n =22835: 223556022453101081
   Dec 01, 2023  n =24555: 1277646724975944361
   Dec 01, 2023  n =24645: 5477651176446151
   Dec 01, 2023  n =24769: 5523099410526809
   Dec 01, 2023  n =24909: 74044722414402839053
   Dec 01, 2023  n =25683: 14533128518299307122521547
   Dec 01, 2023  n =29085: 1001714137670631165115441
   Dec 01, 2023  n =29823: 7383372714917437957
   Dec 01, 2023  n =31785: 97519618578176628991
   Dec 01, 2023  n =31887: 182292830111341837
   Dec 01, 2023  n =31913: 480451534089526569169832443
   Dec 01, 2023  n =31941: 50831846510053519
   Dec 01, 2023  n =31971: 14209581913265830123
   Dec 01, 2023  n =32087: 25056907164189378347
   Dec 01, 2023  n =32113: 2249362270305169989239477
   Dec 01, 2023  n =32127: 410376279057910729
   Dec 01, 2023  n =32437: 62125821424961375791
   Dec 01, 2023  n =32467: 35618910644475990493
   Dec 01, 2023  n =32553: 28084208110671277
   Dec 01, 2023  n =32655: 172999567107001321
   Dec 01, 2023  n =32665: 12694944414957357551
   Dec 01, 2023  n =32721: 3146983373408575507
   Dec 01, 2023  n =33355: 34182479311533203951441
   Dec 01, 2023  n =33357: 109733716103086542547
   Dec 01, 2023  n =33701: 29708739713221466551
   Dec 01, 2023  n =34045: 283021473109591481
   Dec 01, 2023  n =34353: 12980861197464798199
   Dec 01, 2023  n =34441: 15524740031687239
   Dec 01, 2023  n =34713: 2958762395780529509557
   Dec 01, 2023  n =34911: 741336099619789441
   Dec 01, 2023  n =34967: 223043114734206768601
   Dec 01, 2023  n =35031: 160466853753913243
   Dec 01, 2023  n =35051: 8703489371405400530243
   Dec 01, 2023  n =35131: 223061290844506831
   Dec 01, 2023  n =35195: 1615893781376951
   Dec 01, 2023  n =35307: 380004565582095121
   Dec 01, 2023  n =35863: 91729532390442977951
   Dec 01, 2023  n =35919: 18179092363939722307
   Dec 01, 2023  n =35973: 449871287435893
   Dec 01, 2023  n =38073: 1848693962044908763
   Dec 01, 2023  n =38075: 379796518309007215151
   Dec 01, 2023  n =38303: 1038798920679391272906721
   Dec 01, 2023  n =38309: 914101125339653
   Dec 01, 2023  n =38733: 10447730830102021389169
   Dec 01, 2023  n =38751: 5980810539039763951
   Dec 01, 2023  n =38865: 1437258511378944984031
   Dec 01, 2023  n =38869: 74475068067798513449
   Dec 01, 2023  n =38871: 112260165388249924711
   Dec 01, 2023  n =38893: 8275474929967257003587
   Dec 01, 2023  n =38929: 3255464270802857917
   Dec 01, 2023  n =39007: 10881322114897445467
   Dec 01, 2023  n =39029: 4450232180553749485187
   Dec 01, 2023  n =39035: 63822209756051801
   Dec 01, 2023  n =39035: 480574585654385801
   Dec 01, 2023  n =39255: 122599568597976601
   Dec 01, 2023  n =39311: 518778991187426573
   Dec 01, 2023  n =39339: 6015183150428029027
   Dec 01, 2023  n =39429: 306851571333588763
   Dec 01, 2023  n =39459: 31981604673817646808157
   Dec 01, 2023  n =39485: 105852145763354203782874309001
   Dec 01, 2023  n =39535: 119236991407631
   Dec 01, 2023  n =39669: 24338719698802288333
   Dec 01, 2023  n =39673: 8385805945202083531277
   Dec 01, 2023  n =39853: 2788227152764241
   Dec 01, 2023  n =39967: 48469409368068549599
   Dec 01, 2023  n =40077: 3624814407739321
   Dec 01, 2023  n =40101: 31861176580541500629253
   Dec 01, 2023  n =40195: 852425739599809204471
   Dec 01, 2023  n =40349: 354132644050626773
   Dec 01, 2023  n =40689: 23069022129081919
   Dec 01, 2023  n =40745: 424021006642471801
   Dec 01, 2023  n =40747: 1523032454213769227
   Dec 01, 2023  n =40907: 78331500533703423890921
   Dec 01, 2023  n =40919: 167668850497673969
   Dec 01, 2023  n =40943: 5308716297811991
   Dec 01, 2023  n =41195: 287934193977431
   Dec 01, 2023  n =41283: 42822683072246523221227
   Dec 01, 2023  n =41581: 11433993281448996067
   Dec 01, 2023  n =41693: 161951823966408079
   Dec 01, 2023  n =41923: 237818574348212999265833563
   Dec 01, 2023  n =41975: 171578630076586351
   Dec 01, 2023  n =42879: 1068783913947121
   Dec 01, 2023  n =43107: 4234161760492837
   Dec 01, 2023  n =43353: 1020257338165301264761
   Dec 01, 2023  n =43435: 40674259977637441
   Dec 01, 2023  n =43909: 3165563454798278557
   Dec 01, 2023  n =43959: 3595765816161231679
   Dec 01, 2023  n =44251: 59043665908785587
   Dec 01, 2023  n =44269: 1940582956349390653
   Dec 01, 2023  n =44841: 6333307673731460709241
   Dec 01, 2023  n =44863: 192162422845667
   Dec 01, 2023  n =44939: 9213267080449669693
   Dec 01, 2023  n =45645: 30507395665438591
   Dec 01, 2023  n =45673: 4050792492914778157
   Dec 01, 2023  n =45675: 109293638304201751
   Dec 01, 2023  n =46409: 1735097051888083336157
   Dec 01, 2023  n =46411: 4376838090077237
   Dec 01, 2023  n =46491: 3613190435598067
   Dec 01, 2023  n =46579: 184578188103550853
   Dec 01, 2023  n =46905: 843833879330094544081
   Dec 01, 2023  n =46977: 798771949494682507
   Dec 01, 2023  n =47049: 530505427068352129
   Dec 01, 2023  n =47463: 1233099267925015581169
   Dec 01, 2023  n =47473: 435424010143800079
   Dec 01, 2023  n =47715: 9592331084416135271
   Dec 01, 2023  n =47811: 150635582856403
   Dec 01, 2023  n =47833: 13699636297852283
   Dec 01, 2023  n =48065: 1644653973098321
   Dec 01, 2023  n =48127: 8776544707952915639
   Dec 01, 2023  n =48235: 161116589078554552631
   Dec 01, 2023  n =48401: 36621512009920870213
   Dec 01, 2023  n =48599: 31919742619011000359
   Dec 01, 2023  n =48657: 90150501920290519
   Dec 01, 2023  n =48785: 11168184853842721
   Dec 01, 2023  n =48963: 14188912300879951
   Dec 01, 2023  n =48987: 2363851013744161
   Dec 01, 2023  n =49019: 303906562728951733
   Dec 01, 2023  n =49221: 351864944322230245321
   Dec 01, 2023  n =50155: 1181134466516912951
   Dec 01, 2023  n =50415: 2769280430649721
   Dec 01, 2023  n =50453: 99358159134146849
   Dec 01, 2023  n =50553: 1668658212582373
   Dec 01, 2023  n =50635: 667430556988316161
   Dec 01, 2023  n =50673: 151821958714565707
   Dec 01, 2023  n =50697: 1989666376707547
   Dec 01, 2023  n =50755: 58451536210677151
   Dec 01, 2023  n =50777: 298444756576988509226423803
   Dec 01, 2023  n =50793: 9005014447023333043
   Dec 01, 2023  n =50843: 3384498504726333853
   Dec 01, 2023  n =50889: 83171780256354319
   Dec 01, 2023  n =51073: 11196422158386631
   Dec 01, 2023  n =51097: 14377466201587613
   Dec 01, 2023  n =51205: 12241403840151641
   Dec 01, 2023  n =51243: 57383574088987205675831
   Dec 01, 2023  n =51573: 24588198080222809
   Dec 01, 2023  n =51641: 523345371420678671
   Dec 01, 2023  n =51665: 31528417860677885546179241
   Dec 01, 2023  n =51731: 225551198571402391
   Dec 01, 2023  n =51863: 877951032286167629510239
   Dec 01, 2023  n =52185: 905289381227071
   Dec 01, 2023  n =52285: 1647359469280936031351
   Dec 01, 2023  n =52461: 20972602324348470464689
   Dec 01, 2023  n =52693: 2486242700053672694591
   Dec 01, 2023  n =52703: 84906281282971507493
   Dec 01, 2023  n =52731: 144920622911118013
   Dec 01, 2023  n =52735: 63385402232911391
   Dec 01, 2023  n =52887: 37469658482222430511
   Dec 01, 2023  n =53061: 91134183552236449
   Dec 01, 2023  n =53167: 13747628135966213
   Dec 01, 2023  n =53261: 468802949058162360071
   Dec 01, 2023  n =53389: 1428865169994619757
   Dec 01, 2023  n =53409: 647775588680923
   Dec 01, 2023  n =53479: 5902614565519158391435357
   Dec 01, 2023  n =53561: 319215468125903145409
   Dec 01, 2023  n =53649: 665735016612509266378246471
   Dec 01, 2023  n =53839: 3235700503939517
   Dec 01, 2023  n =53847: 49919315554075843
   Dec 01, 2023  n =53867: 9239981408020333631959
   Dec 01, 2023  n =53937: 376139080423142992801
   Dec 01, 2023  n =53963: 131574650759992877347
   Dec 01, 2023  n =54589: 262685152155227
   Dec 01, 2023  n =54703: 3613364323346317
   Dec 01, 2023  n =54873: 254299105399315159
   Dec 01, 2023  n =54885: 76926731867546621041
   Dec 01, 2023  n =54911: 118016611815272119
   Dec 01, 2023  n =54915: 129944290311309391
   Dec 01, 2023  n =55037: 4830988027598671
   Dec 01, 2023  n =55113: 27524805095242420718359
   Dec 01, 2023  n =55469: 99681562916524482427
   Dec 01, 2023  n =55637: 762119535131345851591
   Dec 01, 2023  n =55753: 244382985878302679
   Dec 01, 2023  n =55845: 771070231606911121
   Dec 01, 2023  n =55907: 2250499732667959
   Dec 01, 2023  n =55909: 3465897765051079
   Dec 01, 2023  n =56073: 1175350521519919999
   Dec 01, 2023  n =56191: 1983448571613889
   Dec 01, 2023  n =56377: 2699661819686523143671
   Dec 01, 2023  n =56393: 5296800938847689
   Dec 01, 2023  n =56461: 6220235180621999
   Dec 01, 2023  n =56541: 10469950888846081
   Dec 01, 2023  n =56815: 227939099889327330241
   Dec 01, 2023  n =56859: 70748000138729827
   Dec 01, 2023  n =56943: 703069731255179540521
   Dec 01, 2023  n =57013: 170874447138773375867
   Dec 01, 2023  n =57049: 449625737435117485643
   Dec 01, 2023  n =57051: 1801587355028119
   Dec 01, 2023  n =57063: 6229707173829172399
   Dec 01, 2023  n =57125: 1293792460775077751
   Dec 01, 2023  n =57291: 3873186211120279
   Dec 01, 2023  n =57299: 20435386568330660917
   Dec 01, 2023  n =57883: 1317605771507970827
   Dec 01, 2023  n =57913: 37237969126900169
   Dec 01, 2023  n =57925: 45290071141773354401
   Dec 01, 2023  n =58013: 6102854277345466481
   Dec 01, 2023  n =58121: 5098133820004163
   Dec 01, 2023  n =58189: 24890122062675427
   Dec 01, 2023  n =58389: 8172691453063134769
   Dec 01, 2023  n =58405: 694083249309799991
   Dec 01, 2023  n =58445: 309362966181966022951
   Dec 01, 2023  n =58515: 90395082985191848265789481
   Dec 01, 2023  n =58627: 569201880709410563
   Dec 01, 2023  n =58933: 402416710742243
   Dec 01, 2023  n =59017: 23156763951024064187
   Dec 01, 2023  n =59531: 21145833132591634037
   Dec 01, 2023  n =73499: 23115007092997747
   Dec 01, 2023  n =73925: 10142740695942547201
   Dec 01, 2023  n =74053: 920721229895111
   Dec 01, 2023  n =74141: 2168753078692490303609
   Dec 01, 2023  n =74175: 5479143824821351
   Dec 01, 2023  n =74187: 42053917017971107
   Dec 01, 2023  n =74199: 1788707644715479
   Dec 01, 2023  n =74253: 245258763989039719
   Dec 01, 2023  n =74355: 1305560546181751
   Dec 01, 2023  n =74389: 718096458596542159
   Dec 01, 2023  n =74443: 37693973829950563
   Dec 01, 2023  n =74543: 174323190566519
   Dec 01, 2023  n =74677: 18073208709028919
   Dec 01, 2023  n =74721: 1014026989541959
   Dec 01, 2023  n =74901: 10533895367216241733
   Dec 01, 2023  n =74943: 294067104697983277
   Dec 01, 2023  n =74943: 810103004599193996870917
   Dec 01, 2023  n =75025: 1062426234853261001
   Dec 01, 2023  n =75095: 1494564984748838665841
   Dec 01, 2023  n =75111: 153270840365431
   Dec 01, 2023  n =93953: 1240228209838518203
   Dec 01, 2023  n =94015: 113739199755683571361
   Dec 01, 2023  n =94119: 1977707224238563
   Dec 01, 2023  n =94139: 7770632713756763
   Dec 01, 2023  n =94293: 164146056147542719
   Dec 01, 2023  n =94479: 1254274810780532773
   Dec 01, 2023  n =94499: 75450497965908151
   Dec 01, 2023  n =94527: 179546960390839003
   Dec 01, 2023  n =94571: 3980803705633159
   Dec 01, 2023  n =94577: 879223205449332493
   Dec 01, 2023  n =94601: 34572362467751083
   Dec 01, 2023  n =94639: 1689728560576128325613
   Dec 01, 2023  n =94821: 74246805733635277
   Dec 01, 2023  n =95041: 1432698047045267
   Dec 01, 2023  n =95053: 7985754526847693
   Dec 01, 2023  n =95073: 18223661128307449
   Dec 01, 2023  n =95375: 118498610341014751
   Dec 01, 2023  n =95397: 4479067923176665201
   Dec 01, 2023  n =95423: 415302995726334041
   Dec 01, 2023  n =95459: 45394730067220888946465147
   Dec 01, 2023  n =95583: 21118155548411233489
   Dec 01, 2023  n =95659: 28553735655209627
   Dec 01, 2023  n =95765: 16721589096249671
   Dec 01, 2023  n =95897: 61345390362939317
   Dec 01, 2023  n =95913: 28504234615720627
   Dec 01, 2023  n =95981: 122529982076466559123
   Dec 01, 2023  n =96061: 1195501431486100159
   Dec 01, 2023  n =96123: 25231268724235837
   Dec 01, 2023  n =96153: 17671216557887359
   Dec 01, 2023  n =96315: 152621585709209041
   Dec 01, 2023  n =96435: 2601410788345476293093197
   Dec 01, 2023  n =96585: 191917448110478447191
   Dec 01, 2023  n =96765: 1334029206191107
   Dec 01, 2023  n =97033: 12894333187093231
   Dec 01, 2023  n =97071: 3997899912137119
   Dec 01, 2023  n =97141: 37340132125571111
   Dec 01, 2023  n =97223: 309980275481559719
   Dec 01, 2023  n =97309: 26876164015567813
   Dec 01, 2023  n =97311: 62125821424961375791
   Dec 01, 2023  n =97341: 1410125738195395096597
   Dec 01, 2023  n =97401: 35618910644475990493
   Dec 01, 2023  n =97535: 6111064450810872001
   Dec 01, 2023  n =97539: 2670218641264438837
   Dec 01, 2023  n =97555: 60191328902666664601
   Dec 01, 2023  n =97595: 3572929284578831
   Dec 01, 2023  n =97691: 2338995136575637
   Dec 01, 2023  n =97723: 190630878272137547
   Dec 01, 2023  n =97951: 9161279246914999
   Dec 01, 2023  n =97965: 172999567107001321


- Found by Alfed Reich*
   Nov 30, 2023  n =10794: 121574001366934564466811861061287599379103
   * the factor originally stated under "Anonymous" could be assigned to Alfred Reich


- Found by Kurt Beschorner 
   Nov 30, 2023  n = 5909: 102359219522513907750664346117;                          ecm: B1 = 1e6; sigma = 0:3461714807018060
   Nov 30, 2023  n = 5923: 2446948305447087609231379520791;                         ecm: B1 = 1e6; sigma = 0:2597821242268892
   Nov 30, 2023  n =12927: 157109899417606080398227;                                P-1: B1 = 60e6
   Nov 30, 2023  n =12933: 106644668504142754873387;                                P-1: B1 = 56e6 
   Nov 30, 2023  n =12935: 6624018690369807811241;                                  P-1: B1 = 52e6
   Nov 30, 2023  n=100071: 75272098833428311;                                       P-1: B1 = 2.4e6


- Found by Alfred Reich
   Nov 30, 2023  n = 6687: 29827716778608775083927195534721;                        ecm: B1 = 1e6; sigma = 5769164447340313
   Nov 30, 2023  n = 6717: 112916172190672943702112595350501871;                    ecm: B1 = 1e6; sigma = 3791649234774502
   Nov 30, 2023  n = 6721: 173937396923580170613563010874409;                       ecm: B1 = 1e6; sigma = 5262064063868564
   Nov 30, 2023  n = 6817: 84435353295386181064976264911;                           ecm: B1 =25e4; sigma = 3741810440151490
   Nov 30, 2023  n = 6861: 24770024074922127471604760959;                           ecm: B1 = 1e6; sigma = 155178118117576
   Nov 30, 2023  n = 6909: 5793268185649851729518105834551;                         ecm: B1 = 1e6; sigma = 4817371738070294
   Nov 30, 2023  n = 6979: 5876442107630840614253764751;                            ecm: B1 =25e4; sigma = 4983911192044681
   Nov 30, 2023  n = 7001: 147145625295491714808078907013;                          ecm: B1 = 1e6; sigma = 3680800524244777
   Nov 30, 2023  n = 7101: 489614581917849087905270618071;                          ecm: B1 = 1e6; sigma = 1985708941978715
   Nov 30, 2023  n = 7165: 128551338079496100247749606918440191;                    ecm: B1 = 1e6; sigma = 4298533653217813
   Nov 30, 2023  n = 7237: 22735552701369662095577788786787;                        ecm: B1 = 1e6; sigma = 7542015494815313
   Nov 30, 2023  n = 7253: 1503009102716095769133623111;                            ecm: B1 =25e4; sigma = 6069921538310776
   Nov 30, 2023  n = 7259: 336565472666211162620004839809;                          ecm: B1 =25e4; sigma = 7248565724384447
   Nov 30, 2023  n = 7395: 3824669099700907396166460812431;                         ecm: B1 = 1e6; sigma = 675956464965732
   Nov 30, 2023  n = 7409: 16333978061721396002403946643;                           ecm: B1 =24e4; sigma = 5766633256278371


- Found by Alfred Reich
   Nov 29, 2023  n = 6357: 136928975795832513591107854357;                          ecm: B1 = 1e6; sigma = 7497259370689142    
   Nov 29, 2023  n = 6393: 15310135901786695130803037728935751;                     ecm: B1 = 1e6; sigma = 2090389299270454    
   Nov 29, 2023  n = 6401: 729966277287849415502176504943791;                       ecm: B1 = 1e6; sigma = 4930289660850396    
   Nov 29, 2023  n = 6429: 94107078571715186397984359065759;                        ecm: B1 = 1e6; sigma = 1739964601230167    
   Nov 29, 2023  n = 6433: 287293346027978546675485965069086791;                    ecm: B1 = 1e6; sigma = 2319949391110238    
   Nov 29, 2023  n = 6439: 105101749285884513527316529639;                          ecm: B1 = 1e6; sigma = 6789886049622274    
   Nov 29, 2023  n = 6439: 5700893802519063664175217326747129;                      ecm: B1 = 1e6; sigma = 2163545265565095    
   Nov 29, 2023  n = 6459: 681715856059125522981178939529959;                       ecm: B1 = 1e6; sigma = 6042403604814238    
   Nov 29, 2023  n = 6481: 335961435500592040503418385771243;                       ecm: B1 = 1e6; sigma = 898658786615603    
   Nov 29, 2023  n = 6503: 36900192586349008433172141907;                           ecm: B1 = 1e6; sigma = 2885028876271767    
   Nov 29, 2023  n = 6509: 581123544479732887436611865974493;                       ecm: B1 = 1e6; sigma = 7636743670966583    
   Nov 29, 2023  n = 6559: 6780834984987804079368948472009;                         ecm: B1 = 1e6; sigma = 7748727804923653    
   Nov 29, 2023  n = 6621: 78285596250152980356368196041670361;                     ecm: B1 = 1e6; sigma = 8700645957879714    
   Nov 29, 2023  n = 6647: 154093632861375424507973677;                             ecm: B1 = 1e6; sigma = 537806504943921    
   Nov 29, 2023  n = 6683: 6379062773238547180643778144883;                         ecm: B1 = 1e6; sigma = 3828893136907371    


- Found by Alfred Reich
   Nov 28, 2023  n = 1655: 327308350191520976610083964096991;                       ecm: B1 = 1e6; sigma = 4638387225613633    
   Nov 28, 2023  n = 2161: 17885017030875040938868334614433948117;                  ecm: B1 = 1e6; sigma = 2458147910041908    
   Nov 28, 2023  n = 2971: 342072118213171149461842274030849464889117;              ecm: B1 = 1e6; sigma = 4222974592068552    
   Nov 28, 2023  n = 3025: 677235898350591384951286444545597401;                    ecm: B1 = 1e6; sigma = 5058532214979348    
   Nov 28, 2023  n = 3311: 181901146742761316599553443349160277;                    ecm: B1 = 1e6; sigma = 6842619847491555    
   Nov 28, 2023  n = 3325: 665394561558339096066482309707151;                       ecm: B1 = 1e6; sigma = 8954379932693258    
   Nov 28, 2023  n = 3633: 276534099775888565825278568515747;                       ecm: B1 = 1e6; sigma = 3344671015768385    
   Nov 28, 2023  n = 5221: 209129904420645401172674731246407615493;                 ecm: B1 = 1e6; sigma = 356229114097304    
   Nov 28, 2023  n = 5747: 178862044700630912817791281432979969;                    ecm: B1 = 1e6; sigma = 3842898347602560    
   Nov 28, 2023  n = 6181: 4383082249702546137458919601639;                         ecm: B1 = 1e6; sigma = 5394365222453245    
   Nov 28, 2023  n = 6259: 164177060982645931423891863823231;                       ecm: B1 = 1e6; sigma = 1796092384718143    
   Nov 28, 2023  n = 6261: 960691646828865711548044097293;                          ecm: B1 = 1e6; sigma = 3163866348084461    
   Nov 28, 2023  n = 6291: 16727459528129969013881388193801;                        ecm: B1 = 1e6; sigma = 31522046234724    


- Found by Alfred Reich
   Nov 27, 2023  n =63060: 78353330094742687853503381;                              ecm: B1 =25e4; sigma = 5221765348384615    
   Nov 27, 2023  n =75620: 453330519720855577249921;                                ecm: B1 =25e4; sigma = 1862997673352145   
   Nov 27, 2023  n =78180: 16830454194236332319897341;                              ecm: B1 =25e4; sigma = 1313406153518487    
   Nov 27, 2023  n =78260: 13264511628374074728924758690561;                        ecm: B1 =25e4; sigma = 1332562000011699    
   Nov 27, 2023  n =88460: 5569974727969095268563241;                               ecm: B1 =25e4; sigma = 7476946138687449   
   Nov 27, 2023  n =90460: 774793624385472011025672821;                             ecm: B1 =25e4; sigma = 5850494657079549  
   Nov 27, 2023  n =90700: 28158482269876113995501;                                 ecm: B1 =25e4; sigma = 4912936875239314   
   Nov 27, 2023  n =97300: 123373959647848730434433401;                             ecm: B1 =25e4; sigma = 3346703320971563   
   Nov 27, 2023  n =97740: 119308578046112357566021;                                ecm: B1 =25e4; sigma = 4086540799382234   
   Nov 27, 2023  n =98300: 34245467532293014738750201;                              ecm: B1 =25e4; sigma = 6369506172654130  
   Nov 27, 2023  n=100140: 89751365468006201267230718101;                           ecm: B1 =25e4; sigma = 3751462720001743   
   Nov 27, 2023  n=106780: 83184946583885292486724441;                              ecm: B1 =25e4; sigma = 4403279532188196    
   Nov 27, 2023  n=111940: 6663678220223061812137061;                               ecm: B1 =25e4; sigma = 8518722571619650    
   Nov 27, 2023  n=114780: 526689290171761160761;                                   ecm: B1 =25e4; sigma = 6655215903090887   
   Nov 27, 2023  n=120420: 47600756488405545251315941;                              ecm: B1 =25e4; sigma = 3408428329358166    
   Nov 27, 2023  n=122500: 14097226728784198578022501;                              ecm: B1 =25e4; sigma = 8450307461772867   
   Nov 27, 2023  n=124820: 533697512299771730441;                                   ecm: B1 =25e4; sigma = 1169354706882892   
   Nov 27, 2023  n=127340: 9778804090342212349981;                                  ecm: B1 =25e4; sigma = 437385277348361   
   Nov 27, 2023  n=133620: 84421894969130376823148761;                              ecm: B1 =25e4; sigma = 6482379879176129   
   Nov 27, 2023  n=136940: 6879154615826839147261;                                  ecm: B1 =25e4; sigma = 1908099666835718   
   Nov 27, 2023  n=137340: 1512059183265301584481;                                  ecm: B1 =25e4; sigma = 1177430700387607    
   Nov 27, 2023  n=142420: 42903371150162762010361;                                 ecm: B1 =25e4; sigma = 2288358287431155   
   Nov 27, 2023  n=143380: 22001201492080087017772081;                              ecm: B1 =25e4; sigma = 774841983825042   
   Nov 27, 2023  n=144340: 4972916067149668864381;                                  ecm: B1 =25e4; sigma = 7419070063053053   
   Nov 27, 2023  n=151620: 492458524782530972619241;                                ecm: B1 =25e4; sigma = 893537469466202    
   Nov 27, 2023  n=153620: 128125869449428176311279761;                             ecm: B1 =25e4; sigma = 4232931516160937   
   Nov 27, 2023  n=155620: 49713248995637617067081;                                 ecm: B1 =25e4; sigma = 6080440515040815    
   Nov 27, 2023  n=155980: 495166746731770259045681;                                ecm: B1 =25e4; sigma = 2505902855366778   
   Nov 27, 2023  n=160300: 84165173747213558750801;                                 ecm: B1 =25e4; sigma = 480793875961852   
   Nov 27, 2023  n=167380: 39319696049617345031401;                                 ecm: B1 =25e4; sigma = 834926940554893   
   Nov 27, 2023  n=168140: 2909429926717340048401;                                  ecm: B1 =25e4; sigma = 4662954819658281   
   Nov 27, 2023  n=174900: 2801319611291669568224925901;                            ecm: B1 =25e4; sigma = 5832304787363446    
   Nov 27, 2023  n=184060: 714306402474757483337123041;                             ecm: B1 =25e4; sigma = 2524822475762836   
   Nov 27, 2023  n=184260: 2605844084547283287901;                                  ecm: B1 =25e4; sigma = 5974568750493749   
   Nov 27, 2023  n=188940: 103408921903383144474599941;                             ecm: B1 =25e4; sigma = 8426496037838948   
   Nov 27, 2023  n=194660: 8185341639571448633617381;                               ecm: B1 =25e4; sigma = 2629976687107385   
   Nov 27, 2023  n=195420: 226287326815753653090885061;                             ecm: B1 =25e4; sigma = 6726966977956897   
 

- Found by Alfred Reich
   Nov 27, 2023  n =20140: 7018705857093480841892617358767921;                      ecm: B1 = 1e6; sigma = 7997020201098137  
   Nov 27, 2023  n =20540: 18803070521056735304978967641;                           ecm: B1 =25e4; sigma = 5640445901037154  
   Nov 27, 2023  n =21020: 55095217350101983139325019781;                           ecm: B1 =25e4; sigma = 6111267531934991  
   Nov 27, 2023  n =21140: 43171906427557949243609522213477213941;                  ecm: B1 = 1e6; sigma = 8540426819320103  
   Nov 27, 2023  n =21580: 230813979905342973624861061661;                          ecm: B1 =25e4; sigma = 464384359393032   
   Nov 27, 2023  n =21620: 5456783336573905153770061721;                            ecm: B1 =25e4; sigma = 7453836627546035  
   Nov 27, 2023  n =22572: 83520566262115658880260761;                              ecm: B1 =25e4; sigma = 917874037841036  
   Nov 27, 2023  n =23700: 2709573102429586017506380201;                            ecm: B1 =25e4; sigma = 4290340912887923  
   Nov 27, 2023  n =24300: 2587072509331449276205768678201;                         ecm: B1 = 1e6; sigma = 6978004767602284  
   Nov 27, 2023  n =24300: 94565677510458757980260966701;                           ecm: B1 = 1e6; sigma = 2246052143874373  
   Nov 27, 2023  n =24420: 1058763239702412061070644381;                            ecm: B1 =25e4; sigma = 7251230476453138  
   Nov 27, 2023  n =24500: 10537743067231237908691116001;                           ecm: B1 =25e4; sigma = 8337582732938944  
   Nov 27, 2023  n =25060: 2416923235763580362746842309361;                         ecm: B1 =25e4; sigma = 1659257729656379  
   Nov 27, 2023  n =25140: 834730472253017146352730808943041;                       ecm: B1 =25e4; sigma = 4069839869235508  
   Nov 27, 2023  n =25340: 8322364011161379665524781;                               ecm: B1 =25e4; sigma = 6025721915192345  
   Nov 27, 2023  n =25580: 153496258735912676579634641;                             ecm: B1 =25e4; sigma = 5712184992504414  
   Nov 27, 2023  n =25700: 18750729325853398141552826160601;                        ecm: B1 =25e4; sigma = 6921711663515650  
   Nov 27, 2023  n =25700: 5169129051833132173390380601;                            ecm: B1 = 1e6; sigma = 2346349670921623   
   Nov 27, 2023  n =25780: 101584617687794592250134281;                             ecm: B1 =25e4; sigma = 4672578211815213  
   Nov 27, 2023  n =25780: 5358109239703033352142380041;                            ecm: B1 =25e4; sigma = 1500871497067890  
   Nov 27, 2023  n =25820: 255713316865668938889502207621;                          ecm: B1 =25e4; sigma = 772581041978839  
   Nov 27, 2023  n =26260: 42299716784588375055356134801;                           ecm: B1 =25e4; sigma = 3079630804612395  
   Nov 27, 2023  n =26300: 921757187214037136292750913001;                          ecm: B1 =25e4; sigma = 3413206272336466  
   Nov 27, 2023  n =26380: 12897436885135427254390407161;                           ecm: B1 = 1e6; sigma = 2932385634694911  
   Nov 27, 2023  n =26420: 20130142848282592999742515561;                           ecm: B1 = 1e6; sigma = 6033314920166979  
   Nov 27, 2023  n =26420: 246686967874762191051723149521;                          ecm: B1 = 1e6; sigma = 3660247935681458   
   Nov 27, 2023  n =26700: 1968110850236676070337507301301;                         ecm: B1 = 1e6; sigma = 2705525870636473   
   Nov 27, 2023  n =26740: 10475789992217280610578478361;                           ecm: B1 = 1e6; sigma = 6096788001833822  
   Nov 27, 2023  n =26820: 48085898827288745590792821944381190241;                  ecm: B1 = 1e6; sigma = 6533813929619129  
   Nov 27, 2023  n =26900: 2814269062379284675448067453401;                         ecm: B1 =25e4; sigma = 8206041993867794  
   Nov 27, 2023  n =27140: 5102545641669148297522538941;                            ecm: B1 = 1e6; sigma = 5051390325525317  
   Nov 27, 2023  n =27180: 7658324362614199874117851021321;                         ecm: B1 = 1e6; sigma = 984887160656747  
   Nov 27, 2023  n =27220: 14522518318866105308178357781;                           ecm: B1 = 1e6; sigma = 4122462981825351  
   Nov 27, 2023  n =27500: 606612199670074079436285914257015001;                    ecm: B1 =25e4; sigma = 7792292104788891  
   Nov 27, 2023  n =27540: 463690205012682010522939525012379881;                    ecm: B1 = 1e6; sigma = 3526179467952525  
   Nov 27, 2023  n =27540: 92845710553674001296180353401;                           ecm: B1 = 1e6; sigma = 5731788123583251   
   Nov 27, 2023  n =27740: 197684413946133267019728061;                             ecm: B1 = 1e6; sigma = 3833273506764865   
   Nov 27, 2023  n =27860: 227737556367319657134001;                                ecm: B1 = 1e6; sigma = 598431661265163  
   Nov 27, 2023  n =27900: 1528958492536563214756808401;                            ecm: B1 = 1e6; sigma = 3136110078829743  
   Nov 27, 2023  n =27900: 30354311694349242300394181359801;                        ecm: B1 = 1e6; sigma = 8199096767042755  
   Nov 27, 2023  n =28020: 1529976445739415110984119861;                            ecm: B1 =25e4; sigma = 890883482591481  
   Nov 27, 2023  n =28580: 1100087549082723565240291061;                            ecm: B1 =25e4; sigma = 3626947297823835   
   Nov 27, 2023  n =28620: 6810306529197166421234995981;                            ecm: B1 = 1e6; sigma = 4028913709126562  
   Nov 27, 2023  n =28700: 107830894974555002741275494068053801;                    ecm: B1 = 1e6; sigma = 62116663879978  
   Nov 27, 2023  n =29100: 1847824710901329027679893001;                            ecm: B1 =25e4; sigma = 7294336429445425  
   Nov 27, 2023  n =29100: 46697447972343477184789676101;                           ecm: B1 = 1e6; sigma = 1702877168241745  
   Nov 27, 2023  n =29180: 175893121471082814628057801;                             ecm: B1 = 1e6; sigma = 2934861943109734  
   Nov 27, 2023  n =29260: 11541207882092210471618701;                              ecm: B1 = 1e6; sigma = 1980368503592159  
   Nov 27, 2023  n =29340: 7586364821550606426062061606781;                         ecm: B1 =25e4; sigma = 4188128543303296  
   Nov 27, 2023  n =29420: 10501482248123690360091847673321;                        ecm: B1 = 1e6; sigma = 8667177925909647  
   Nov 27, 2023  n =29900: 74525935444708147043183424301;                           ecm: B1 = 1e6; sigma = 2304013075646892  
   Nov 27, 2023  n =29900: 9624384931828641171546528401;                            ecm: B1 = 1e6; sigma = 7863083069179914   
   Nov 27, 2023  n =30020: 47214080461086265171764701218021;                        ecm: B1 =25e4; sigma = 7402473612414256   
   Nov 27, 2023  n =30052: 44670434307473490559781;                                 ecm: B1 =25e4; sigma = 6547138140226453  
   Nov 27, 2023  n =30220: 668136283786330444634935901;                             ecm: B1 =25e4; sigma = 6748137738811233  
   Nov 27, 2023  n =30756: 34600156570432204916222206501;                           ecm: B1 =25e4; sigma = 8375505548300900  
   Nov 27, 2023  n =31260: 451245480983455711261059121;                             ecm: B1 =25e4; sigma = 5067040515286335   
   Nov 27, 2023  n =31460: 715185370009264275126721;                                ecm: B1 =25e4; sigma = 6731366070484789   
   Nov 27, 2023  n =31724: 75973268019314427301;                                    ecm: B1 =25e4; sigma = 7716511114626617  
   Nov 27, 2023  n =32260: 2095784164617954646067501;                               ecm: B1 =25e4; sigma = 8118935875478901   
   Nov 27, 2023  n =32740: 372843130805722754555761;                                ecm: B1 =25e4; sigma = 3429492475575845  
   Nov 27, 2023  n =32820: 34739904662651859961298981041;                           ecm: B1 =25e4; sigma = 4021733216484285  
   Nov 27, 2023  n =32980: 2852245532843404097350663981;                            ecm: B1 =25e4; sigma = 936818190358476   
   Nov 27, 2023  n =33740: 729079001282895194048117701;                             ecm: B1 =25e4; sigma = 5031623725068445   
   Nov 27, 2023  n =33980: 3767252353650436014922991561;                            ecm: B1 =25e4; sigma = 2293186145065219   
   Nov 27, 2023  n =34020: 4600819303387946721231966181;                            ecm: B1 =25e4; sigma = 212713057460809  
   Nov 27, 2023  n =34180: 103498079810021423637610062341;                          ecm: B1 =25e4; sigma = 4480844237763838  
   Nov 27, 2023  n =34580: 713968713907283354088661;                                ecm: B1 =25e4; sigma = 693556338043128  
   Nov 27, 2023  n =34604: 13708325028606335373049;                                 ecm: B1 =25e4; sigma = 3415468171943425  
   Nov 27, 2023  n =34756: 838618283551928151929;                                   ecm: B1 =25e4; sigma = 8108001359676375  
   Nov 27, 2023  n =34900: 16219516109867530486779001;                              ecm: B1 =25e4; sigma = 7061739540141102  
   Nov 27, 2023  n =35900: 177695468771970959018195017201;                          ecm: B1 =25e4; sigma = 3691795861025191   
   Nov 27, 2023  n =36204: 148383074434845706433119828141;                          ecm: B1 =25e4; sigma = 2981097997145392  
   Nov 27, 2023  n =36620: 430000942456784918205142076735861;                       ecm: B1 =25e4; sigma = 1155529710147449  
   Nov 27, 2023  n =36860: 116190409082391235028627003321;                          ecm: B1 =25e4; sigma = 7391787359435195  
   Nov 27, 2023  n =36940: 410016863919460386373000901;                             ecm: B1 =25e4; sigma = 5012986250802866   
   Nov 27, 2023  n =37180: 4577611053488330862452888441;                            ecm: B1 =25e4; sigma = 328511369504215  
   Nov 27, 2023  n =37252: 4274381762475099011989961457306629;                      ecm: B1 =25e4; sigma = 8174763472931763  
   Nov 27, 2023  n =38540: 10740839296506861013242116341;                           ecm: B1 =25e4; sigma = 3249549560237930  
   Nov 27, 2023  n =38540: 6418745210140121592737621;                               ecm: B1 =25e4; sigma = 7362104077829758   
   Nov 27, 2023  n =39060: 20914873316213955776339041;                              ecm: B1 =25e4; sigma = 8552271064562800   
   Nov 27, 2023  n =39060: 74634671822299705252446052681;                           ecm: B1 =25e4; sigma = 3795526911260393  
   Nov 27, 2023  n =40780: 2348575440904899312209321;                               ecm: B1 =25e4; sigma = 3003608227143486  
   Nov 27, 2023  n =40980: 28084294690068604585501861;                              ecm: B1 =25e4; sigma = 319490495492416  
   Nov 27, 2023  n =41100: 2451101083612571641390586101;                            ecm: B1 =25e4; sigma = 8572875320965515  
   Nov 27, 2023  n =41172: 29078457407626078231489;                                 ecm: B1 =25e4; sigma = 1186600580796714  
   Nov 27, 2023  n =43020: 5289624413264885570094113641;                            ecm: B1 =25e4; sigma = 7598387136355795  
   Nov 27, 2023  n =43060: 2450655705407127154896551943641;                         ecm: B1 =25e4; sigma = 5598370690320457  
   Nov 27, 2023  n =43404: 3037358563274934410244589;                               ecm: B1 =25e4; sigma = 3900982207976415  
   Nov 27, 2023  n =44460: 676706282271371720574181;                                ecm: B1 =25e4; sigma = 7992351868548721  
   Nov 27, 2023  n =44660: 327814813915108131286742761;                             ecm: B1 =25e4; sigma = 1836260350693449  
   Nov 27, 2023  n =45060: 370414607242166652638004481;                             ecm: B1 =25e4; sigma = 3917921153921670   
   Nov 27, 2023  n =45420: 8263185118575501354411264601;                            ecm: B1 =25e4; sigma = 5516839307934243   
   Nov 27, 2023  n =45460: 880988597326745859770701;                                ecm: B1 =25e4; sigma = 2728925392334920  
   Nov 27, 2023  n =45620: 367403423437699050170420501;                             ecm: B1 =25e4; sigma = 7066894176313385  
   Nov 27, 2023  n =45820: 252030207721176771378061;                                ecm: B1 =25e4; sigma = 6449839240514236  
   Nov 27, 2023  n =46260: 17943152082224066936487779041;                           ecm: B1 =25e4; sigma = 1597636227863455   
   Nov 27, 2023  n =46460: 29284885108351657834970628401;                           ecm: B1 =25e4; sigma = 2302474475233125   
   Nov 27, 2023  n =47180: 1433757659235327287750317801;                            ecm: B1 =25e4; sigma = 7298378058858430   
   Nov 27, 2023  n =47980: 31175005161992981961573961;                              ecm: B1 =25e4; sigma = 7897131674418169   
   Nov 27, 2023  n =48220: 17722089091784910879121;                                 ecm: B1 =25e4; sigma = 2333117043482905   
   Nov 27, 2023  n =48220: 3039330936742635000597841;                               ecm: B1 =25e4; sigma = 631827150467406  
   Nov 27, 2023  n =48300: 669628295241354976646970901;                             ecm: B1 =25e4; sigma = 7379291131046977  
   Nov 27, 2023  n =49220: 587616522718181024526131621;                             ecm: B1 =25e4; sigma = 7914456822754680  
   Nov 27, 2023  n =49460: 8879647548433237543181;                                  ecm: B1 =25e4; sigma = 3547975226271526  
   Nov 27, 2023  n =49620: 399436652973879597639432569031811372381;                 ecm: B1 =25e4; sigma = 3041602222757774  
   Nov 27, 2023  n =49700: 555628188570735003042901;                                ecm: B1 =25e4; sigma = 7375082043193301  
   Nov 27, 2023  n =49820: 594344671662976254777624873881;                          ecm: B1 =25e4; sigma = 2491613661176094   
   Nov 27, 2023  n =49940: 20347223081617348914222061;                              ecm: B1 =25e4; sigma = 8657802120344356   
   Nov 27, 2023  n =50380: 149336301437695630582539601;                             ecm: B1 =25e4; sigma = 4794206897654908  
   Nov 27, 2023  n =50460: 13204454772392657898341761;                              ecm: B1 =25e4; sigma = 1926892064831644  
   Nov 27, 2023  n =50660: 14337108793772702229720821;                              ecm: B1 =25e4; sigma = 8521346807557846  
   Nov 27, 2023  n =50940: 159590811522096697376423590741;                          ecm: B1 =25e4; sigma = 1670416280083252  
   Nov 27, 2023  n =51540: 398360408024436357530335561;                             ecm: B1 =25e4; sigma = 7258389504901722   
   Nov 27, 2023  n =51580: 361403747969404551341039801;                             ecm: B1 =25e4; sigma = 8762713346272260   
   Nov 27, 2023  n =51780: 387122262842392717219515222241;                          ecm: B1 =25e4; sigma = 1951518778755366   
   Nov 27, 2023  n =52020: 24745511621594497593167101;                              ecm: B1 =25e4; sigma = 4787695298322763   
   Nov 27, 2023  n =52100: 172036060177451837101601;                                ecm: B1 =25e4; sigma = 4378168641431881   
   Nov 27, 2023  n =52300: 2009317760706028933019201;                               ecm: B1 =25e4; sigma = 7312712690399242   
   Nov 27, 2023  n =52340: 20449445307202442346152408761;                           ecm: B1 =25e4; sigma = 4325169212539973  
   Nov 27, 2023  n =52460: 136256508163823292895185181;                             ecm: B1 =25e4; sigma = 6935215958599945  
   Nov 27, 2023  n =52500: 508298170995058964362501;                                ecm: B1 =25e4; sigma = 6035210990820635  
   Nov 27, 2023  n =52580: 936584695272248590972957961;                             ecm: B1 =25e4; sigma = 6326107684620522   
   Nov 27, 2023  n =53140: 32925838759667255753217285101;                           ecm: B1 =25e4; sigma = 5495777109839941  
   Nov 27, 2023  n =53540: 958782155674722941739622001;                             ecm: B1 =25e4; sigma = 6047293953700487  
   Nov 27, 2023  n =53700: 1131336566529624881019762601;                            ecm: B1 =25e4; sigma = 8645331421817506   
   Nov 27, 2023  n =54900: 2788061803362806095045801;                               ecm: B1 =25e4; sigma = 4050041486221353  
   Nov 27, 2023  n =54940: 3962487118129306080161;                                  ecm: B1 =25e4; sigma = 3444673307590029  
   Nov 27, 2023  n =55540: 175238687457607247005686924881;                          ecm: B1 =25e4; sigma = 6409572083003786  
   Nov 27, 2023  n =55580: 47356955293584993441295808941;                           ecm: B1 =25e4; sigma = 2443677508824826  
   Nov 27, 2023  n =55900: 123720096262979438704366301;                             ecm: B1 =25e4; sigma = 4495837406714905 
   Nov 27, 2023  n =56060: 180981585217834543911941;                                ecm: B1 =25e4; sigma = 8733821872583600 
   Nov 27, 2023  n =56060: 29335970835727141187454718681;                           ecm: B1 =25e4; sigma = 6381880110659196 
   Nov 27, 2023  n =56180: 2863000928968586872685020215881;                         ecm: B1 =25e4; sigma = 8797080973567693  
   Nov 27, 2023  n =56460: 12269515107986025524026397959081;                        ecm: B1 =25e4; sigma = 2705428160139823  
   Nov 27, 2023  n =56540: 23454916933765478338892743381;                           ecm: B1 =25e4; sigma = 8412513093613110 
   Nov 27, 2023  n =56540: 692234444556921027062108281;                             ecm: B1 =25e4; sigma = 2671699740445247  
   Nov 27, 2023  n =56900: 17458101006025233534664501;                              ecm: B1 =25e4; sigma = 8452282724370929 
   Nov 27, 2023  n =57100: 3996341182589570270700783401;                            ecm: B1 =25e4; sigma = 4564705915759124  
   Nov 27, 2023  n =57380: 10027487082742536672895165062421;                        ecm: B1 =25e4; sigma = 1991522085104195   
   Nov 27, 2023  n =57380: 72704627494582806151421;                                 ecm: B1 =25e4; sigma = 5582442892162496  
   Nov 27, 2023  n =57540: 351930196951561365836771521;                             ecm: B1 =25e4; sigma = 100338550499675  
   Nov 27, 2023  n =57700: 4294553145174083064334089101;                            ecm: B1 =25e4; sigma = 5480810920454228 
   Nov 27, 2023  n =58100: 52906091009343131473131401;                              ecm: B1 =25e4; sigma = 8408691861101973   
   Nov 27, 2023  n =58300: 48561040395905186693501;                                 ecm: B1 =25e4; sigma = 6202471576501680 
   Nov 27, 2023  n =58340: 33607961959990499069695348261;                           ecm: B1 =25e4; sigma = 3766118978860208  
   Nov 27, 2023  n =58820: 221803191957568558475041;                                ecm: B1 =25e4; sigma = 231481523130509 
   Nov 27, 2023  n =59420: 1422049978997402762705906404321;                         ecm: B1 =25e4; sigma = 1265817314911959 
   Nov 27, 2023  n =59820: 24385339105782538688104441;                              ecm: B1 =25e4; sigma = 8603797752885431  


- Found by Alfred Reich
   Nov 26, 2023  n =15946: 174016568328397627273608928853;                          ecm: B1 =25e4; sigma = 4385504041581970       
   Nov 26, 2023  n =16046: 138718348812585501845820049;                             ecm: B1 =25e4; sigma = 5263955197883533      
   Nov 26, 2023  n =16072: 52057287243420615314389584473;                           ecm: B1 =25e4; sigma = 1411699368831535        
   Nov 26, 2023  n =16124: 258634124137536061220697235240229;                       ecm: B1 =25e4; sigma = 7948707385588632       
   Nov 26, 2023  n =16158: 15057589219885885523681437;                              ecm: B1 =25e4; sigma = 4341402077545446       
   Nov 26, 2023  n =16250: 7551470154673690011100506251;                            ecm: B1 =25e4; sigma = 4500467712206534       
   Nov 26, 2023  n =16252: 19928376468523861275100215975269;                        ecm: B1 =25e4; sigma = 2916310126270906       
   Nov 26, 2023  n =16254: 216980684707341625953442561;                             ecm: B1 =25e4; sigma = 1686898194586145        
   Nov 26, 2023  n =16270: 84781658335540387182681091;                              ecm: B1 =25e4; sigma = 932148165892133        
   Nov 26, 2023  n =16316: 2359088277293773372812038171185069;                      ecm: B1 =25e4; sigma = 7642672066275556       
   Nov 26, 2023  n =16344: 258757010715575110463353;                                ecm: B1 =25e4; sigma = 7456464787110727       
   Nov 26, 2023  n =16368: 1359528146312549413482250413457;                         ecm: B1 =25e4; sigma = 3314475451743437        
   Nov 26, 2023  n =16378: 870280481234895760621743862550167;                       ecm: B1 =25e4; sigma = 8721179262161264       
   Nov 26, 2023  n =16398: 29639985903998579356394771161;                           ecm: B1 =25e4; sigma = 4497839760029556       
   Nov 26, 2023  n =16580: 593004676562928531700562168161;                          ecm: B1 = 1e6; sigma = 5123206902654225     
   Nov 26, 2023  n =16900: 6527530665525346937383697772701;                         ecm: B1 = 1e6; sigma = 8530456443211415     
   Nov 26, 2023  n =17140: 2696107430733480187660759815221;                         ecm: B1 = 1e6; sigma = 3643179387999052    
   Nov 26, 2023  n =17860: 7824236251344156534112605293641;                         ecm: B1 = 1e6; sigma = 8647711350564807    
   Nov 26, 2023  n =18060: 9081902859189146809647985077065085001;                   ecm: B1 = 1e6; sigma = 1421475870335900     
   Nov 26, 2023  n =18340: 2469459764552922760137662564027461;                      ecm: B1 = 1e6; sigma = 6636174155156199    
   Nov 26, 2023  n =18540: 677762088952628998000762098140832250681;                 ecm: B1 = 1e6; sigma = 2681425775573181    
   Nov 26, 2023  n =18740: 179003628105532000244627536841;                          ecm: B1 = 1e6; sigma = 3798668466218092    
   Nov 26, 2023  n =18780: 35492749891732846380526231912621;                        ecm: B1 = 1e6; sigma = 4287535232252303    
   Nov 26, 2023  n =18900: 2008407164013983537989983445103717401;                   ecm: B1 = 1e6; sigma = 1134919335466674    
   Nov 26, 2023  n =18940: 1706039341642776241853085755634481;                      ecm: B1 = 1e6; sigma = 1683557703605735    
   Nov 26, 2023  n =18978: 6482809924721501123706103219;                            ecm: B1 =25e4; sigma = 1423928784397927       
   Nov 26, 2023  n =18980: 48462852568805584065049420392309601;                     ecm: B1 = 1e6; sigma = 5622048480656940   
   Nov 26, 2023  n =19088: 420340370714395225991424992801;                          ecm: B1 =25e4; sigma = 2884689859608005     
   Nov 26, 2023  n =19210: 16757020518181157374968881201;                           ecm: B1 =25e4; sigma = 2956925644835975      
   Nov 26, 2023  n =19220: 23463562722199206348283789996961;                        ecm: B1 = 1e6; sigma = 3520175776343624    
   Nov 26, 2023  n =19246: 368662068180479256206098541117;                          ecm: B1 =25e4; sigma = 1930106597970961      
   Nov 26, 2023  n =19300: 11174680322890113313964846693926001;                     ecm: B1 = 1e6; sigma = 4798336373716610     
   Nov 26, 2023  n =19540: 25047312540301422749553148991209301;                     ecm: B1 = 1e6; sigma = 802746627605907  
   Nov 26, 2023  n =19548: 400637154055113664658777701;                             ecm: B1 =25e4; sigma = 6882080289473328      
   Nov 26, 2023  n =19700: 1447469041522082356758943907701;                         ecm: B1 = 1e6; sigma = 1732578679293657    


- Found by Anonymous 
   Nov 26, 2023  n = 3010: 1458403742372587441269682405403605121    
   Nov 26, 2023  n = 4156: 12913276426715383224960141674762983178849    


- Found by Alfred Reich
   Nov 26, 2023  n =12608: 6713339852390718354371095601857;                         ecm: B1 =25e4; sigma = 5273619662249384    
   Nov 26, 2023  n =12610: 1610699198666435993534339433171361;                      ecm: B1 =25e4; sigma = 1862020146434622        
   Nov 26, 2023  n =12640: 291603845939372975594475521;                             ecm: B1 =25e4; sigma = 1741118505025184    
   Nov 26, 2023  n =12764: 3858422387145735085689487649;                            ecm: B1 =25e4; sigma = 1504138814046503    
   Nov 26, 2023  n =12872: 66651097071111483242519631353;                           ecm: B1 =25e4; sigma = 7667334585987019    
   Nov 26, 2023  n =12874: 172062247787576966443993037;                             ecm: B1 =25e4; sigma = 5023775637708399   
   Nov 26, 2023  n =12954: 68743577146721689638807259;                              ecm: B1 =25e4; sigma = 8651798798025120     
   Nov 26, 2023  n =12956: 57109005739895017782415204541;                           ecm: B1 =25e4; sigma = 1901639424834660    
   Nov 26, 2023  n =13006: 5524772141538415228757153567;                            ecm: B1 =25e4; sigma = 1275935415218396     
   Nov 26, 2023  n =13014: 61691219052367027828865887;                              ecm: B1 =25e4; sigma = 1958722919126335    
   Nov 26, 2023  n =13040: 108027445600185492279151547201;                          ecm: B1 =25e4; sigma = 6012710720445525     
   Nov 26, 2023  n =13116: 112344869187067621134566381712052741;                    ecm: B1 =25e4; sigma = 6924318284145974     
   Nov 26, 2023  n =13118: 872750501000036857503638225131;                          ecm: B1 =25e4; sigma = 5850621951280938    
   Nov 26, 2023  n =13226: 5525971886582966866274314099;                            ecm: B1 =25e4; sigma = 5838434588270980     
   Nov 26, 2023  n =13252: 12183424252936815356148701;                              ecm: B1 =25e4; sigma = 3931872996665295     
   Nov 26, 2023  n =13254: 76061674787273034292418611;                              ecm: B1 =25e4; sigma = 6698418385128614     
   Nov 26, 2023  n =13278: 34143833732424036128014687;                              ecm: B1 =25e4; sigma = 2522938873719796    
   Nov 26, 2023  n =13538: 1647981572972073631565952967;                            ecm: B1 =25e4; sigma = 185572582735654    
   Nov 26, 2023  n =13692: 6955072550685324276681371749;                            ecm: B1 =25e4; sigma = 2700547640350359     
   Nov 26, 2023  n =13746: 13887219620382058202203626691;                           ecm: B1 =25e4; sigma = 8870333348061594     
   Nov 26, 2023  n =14014: 9598736298305929767506046102571;                         ecm: B1 =25e4; sigma = 2037449330718702     
   Nov 26, 2023  n =14104: 48639988964577695460934739681;                           ecm: B1 =25e4; sigma = 88146055334520     
   Nov 26, 2023  n =14108: 1948008925734563598660414481;                            ecm: B1 =25e4; sigma = 8336284272311094     
   Nov 26, 2023  n =14132: 149268503696679748835285501;                             ecm: B1 =25e4; sigma = 8480088990654849     
   Nov 26, 2023  n =14152: 2677412792651577552312820297;                            ecm: B1 =25e4; sigma = 7540716965358176     
   Nov 26, 2023  n =14154: 35066310459316705445841022245719659;                     ecm: B1 =25e4; sigma = 102615448346227     
   Nov 26, 2023  n =14170: 140071187556637885524403033361;                          ecm: B1 =25e4; sigma = 6075619949483630     
   Nov 26, 2023  n =14186: 255166415378279022361440672076807;                       ecm: B1 =25e4; sigma = 2290919407499120     
   Nov 26, 2023  n =14346: 69829846436128455472688821099;                           ecm: B1 =25e4; sigma = 7923515792461772    
   Nov 26, 2023  n =14364: 187853411712893186422009;                                ecm: B1 =25e4; sigma = 1971991023448273     
   Nov 26, 2023  n =14368: 24029883111728731418597804897;                           ecm: B1 =25e4; sigma = 270760754988921     
   Nov 26, 2023  n =14386: 143151877425513363425682497077;                          ecm: B1 =25e4; sigma = 31187610714834     
   Nov 26, 2023  n =14396: 705781334671919260194182947597189;                       ecm: B1 =25e4; sigma = 6844087564831443     
   Nov 26, 2023  n =14404: 27717373902633040056937949;                              ecm: B1 =25e4; sigma = 8144126140197598    
   Nov 26, 2023  n =14422: 421771104438677793647534582939;                          ecm: B1 =25e4; sigma = 5289792963619846     
   Nov 26, 2023  n =14472: 28586407572684382440782955865937977;                     ecm: B1 =25e4; sigma = 2168955769663568     
   Nov 26, 2023  n =14484: 78964232918081953430330377791901;                        ecm: B1 =25e4; sigma = 6443952763711736    
   Nov 26, 2023  n =14546: 5740075150845636555141320729;                            ecm: B1 =25e4; sigma = 8891529261810908     
   Nov 26, 2023  n =14574: 272847571235278116852676668146143;                       ecm: B1 =25e4; sigma = 6088456338045136     
   Nov 26, 2023  n =14588: 23803866067952522091109363231672921;                     ecm: B1 =25e4; sigma = 8024128368149253     
   Nov 26, 2023  n =14802: 177139214670362896667316973;                             ecm: B1 =25e4; sigma = 2616128868997066     
   Nov 26, 2023  n =14832: 9947389475424806704926577;                               ecm: B1 =25e4; sigma = 7482427498997203    
   Nov 26, 2023  n =14864: 5631923616011445033262226689;                            ecm: B1 =25e4; sigma = 644793879212690     
   Nov 26, 2023  n =14886: 12998385808976925454748283343;                           ecm: B1 =25e4; sigma = 8534983508764655     
   Nov 26, 2023  n =14886: 66168181845449081462149201;                              ecm: B1 =25e4; sigma = 4637488779984297     
   Nov 26, 2023  n =14904: 81661370655253345236851269033;                           ecm: B1 =25e4; sigma = 311169548246987     
   Nov 26, 2023  n =14914: 9597530468835850386976051;                               ecm: B1 =25e4; sigma = 3496576720055256    
   Nov 26, 2023  n =14938: 15033802044478267102416050303;                           ecm: B1 =25e4; sigma = 8524558582757732    
   Nov 26, 2023  n =14946: 368498214407527252621142647339;                          ecm: B1 =25e4; sigma = 2411222541113144    
   Nov 26, 2023  n =14966: 4474204348612902024660544223;                            ecm: B1 =25e4; sigma = 7495118481066125    
   Nov 26, 2023  n =14976: 3141283741966127083395633409;                            ecm: B1 =25e4; sigma = 5219033253107256    
   Nov 26, 2023  n =14978: 567357255898169263464483739;                             ecm: B1 =25e4; sigma = 4615482114703966   
   Nov 26, 2023  n =14992: 1949383717102734318650865905757233;                      ecm: B1 =25e4; sigma = 6279596056815219    
   Nov 26, 2023  n =15028: 12751303131442995938775525905909;                        ecm: B1 =25e4; sigma = 2324730008700490   
   Nov 26, 2023  n =15036: 45404765802872473994858149;                              ecm: B1 =25e4; sigma = 6088574460878599    
   Nov 26, 2023  n =15064: 23201265545119568067158929;                              ecm: B1 =25e4; sigma = 7040729222448440     
   Nov 26, 2023  n =15114: 314341066212088236671527;                                ecm: B1 =25e4; sigma = 2470892233000992    
   Nov 26, 2023  n =15148: 5057433494075312552477978809;                            ecm: B1 =25e4; sigma = 7391944234952337     
   Nov 26, 2023  n =15174: 63175645052377310999968276817773;                        ecm: B1 =25e4; sigma = 6698347975434928    
   Nov 26, 2023  n =15176: 159026013174488285013833;                                ecm: B1 =25e4; sigma = 7002105807749647    
   Nov 26, 2023  n =15206: 4033456435837758379952320078609;                         ecm: B1 =25e4; sigma = 957410318898615     
   Nov 26, 2023  n =15288: 2043522620326772041421709850561;                         ecm: B1 =25e4; sigma = 5201207966236970     
   Nov 26, 2023  n =15300: 249490905127587619098736822201;                          ecm: B1 = 1e6; sigma = 7581615980178104   
   Nov 26, 2023  n =15306: 19917040760660791117809867601;                           ecm: B1 =25e4; sigma = 3187022919754000     
   Nov 26, 2023  n =15320: 43319691981852179671407492540001;                        ecm: B1 =25e4; sigma = 4117921564630516     
   Nov 26, 2023  n =15342: 14919334612113021993260633623;                           ecm: B1 =25e4; sigma = 1540007608272782    
   Nov 26, 2023  n =15350: 386398023802691611592288942810201;                       ecm: B1 =25e4; sigma = 8865107826101     
   Nov 26, 2023  n =15352: 34343394054777837947569;                                 ecm: B1 =25e4; sigma = 6689768364164920    
   Nov 26, 2023  n =15358: 682331427628082112854063903;                             ecm: B1 =25e4; sigma = 8977873252518484     
   Nov 26, 2023  n =15368: 44685309396811791344400073;                              ecm: B1 =25e4; sigma = 6866067179685612    
   Nov 26, 2023  n =15368: 504398764573709344430596996832842937;                    ecm: B1 =25e4; sigma = 3278035465376803    
   Nov 26, 2023  n =15394: 5221433280338766111384556031249;                         ecm: B1 =25e4; sigma = 5576255490006114    
   Nov 26, 2023  n =15402: 149893015059463317758832043369;                          ecm: B1 =25e4; sigma = 3293544890945793    
   Nov 26, 2023  n =15416: 33016010845213825566293017;                              ecm: B1 =25e4; sigma = 7428042536034914    
   Nov 26, 2023  n =15424: 1043139505134596133367775792833;                         ecm: B1 =25e4; sigma = 2725330226311712    
   Nov 26, 2023  n =15504: 340637235462501636248343697;                             ecm: B1 =25e4; sigma = 5468876090073679     
   Nov 26, 2023  n =15516: 852380341917372869101381;                                ecm: B1 =25e4; sigma = 556535592446576    
   Nov 26, 2023  n =15530: 2363299947229501061975574091;                            ecm: B1 =25e4; sigma = 5516324632645874    
   Nov 26, 2023  n =15534: 6451434729473455173200424409;                            ecm: B1 =25e4; sigma = 6653990366716116    
   Nov 26, 2023  n =15540: 308220594010611255034820335921;                          ecm: B1 = 1e6; sigma = 3359349357151722  
   Nov 26, 2023  n =15596: 1617045239746409606334031769;                            ecm: B1 =25e4; sigma = 6178916631531153     
   Nov 26, 2023  n =15596: 2825032090030503348350489;                               ecm: B1 =25e4; sigma = 7247199152414964     
   Nov 26, 2023  n =15620: 6365511658003274965509642399541;                         ecm: B1 = 1e6; sigma = 5492633686004492  
   Nov 26, 2023  n =15684: 29257554664115675464792016089;                           ecm: B1 =25e4; sigma = 7626518385084658     
   Nov 26, 2023  n =15688: 345092816079765316501121;                                ecm: B1 =25e4; sigma = 5984544903313400     
   Nov 26, 2023  n =15692: 27686448445482878734835349761;                           ecm: B1 =25e4; sigma = 258705719267415     
   Nov 26, 2023  n =15700: 100398049919528124611180751136001;                       ecm: B1 = 1e6; sigma = 5351430619063998   
   Nov 26, 2023  n =15700: 77723472272826102412252776445245301;                     ecm: B1 = 1e6; sigma = 3999938243632325   
   Nov 26, 2023  n =15712: 348187235108353631737173761;                             ecm: B1 =25e4; sigma = 7866710188640358    
   Nov 26, 2023  n =15722: 73827236316977380573828717;                              ecm: B1 =25e4; sigma = 3678420544803102     
   Nov 26, 2023  n =15724: 25887074444428944044050530649;                           ecm: B1 =25e4; sigma = 4940530174675972     
   Nov 26, 2023  n =15744: 2961841063128613291375889355582721;                      ecm: B1 =25e4; sigma = 3322554415884929    
   Nov 26, 2023  n =15752: 211958795880204753374254217;                             ecm: B1 =25e4; sigma = 2077264693674540     
   Nov 26, 2023  n =15760: 7985422175444696724062067521;                            ecm: B1 =25e4; sigma = 1660370468560158     
   Nov 26, 2023  n =15768: 71292379928303882889854569789201;                        ecm: B1 =25e4; sigma = 2061240582671280     
   Nov 26, 2023  n =15770: 60787353602226119454380881;                              ecm: B1 =25e4; sigma = 3538605797318434     
   Nov 26, 2023  n =15794: 800392408306319183573664353903719481;                    ecm: B1 =25e4; sigma = 3541696493849174    
   Nov 26, 2023  n =15814: 15395108363222797252371129397;                           ecm: B1 =25e4; sigma = 664958140637533    
   Nov 26, 2023  n =15840: 3092356447727649043390113741121;                         ecm: B1 =25e4; sigma = 2075907831378178    
   Nov 26, 2023  n =15878: 895296835938804232518926293249849;                       ecm: B1 =25e4; sigma = 6096366582885336    
   Nov 26, 2023  n =15900: 201643671669690039177322785820201;                       ecm: B1 = 1e6; sigma = 8633871987834955   
   Nov 26, 2023  n =15928: 7215150801368091470841833;                               ecm: B1 =25e4; sigma = 2516368283899798     
   Nov 26, 2023  n =15936: 3554001391219343898045523393;                            ecm: B1 =25e4; sigma = 8043874759538759    
   Nov 26, 2023  n=215820: 1169678159129990473921;                                  ecm: B1 =25e4; sigma = 3752966674403084     
   Nov 26, 2023  n=203100: 19444015037793666870250501;                              ecm: B1 =25e4; sigma = 5794830826674561     
   Nov 26, 2023  n=211620: 1238588567573750838564841;                               ecm: B1 =25e4; sigma = 6788603564259891    
   Nov 26, 2023  n=211500: 1794315869587094372137071001;                            ecm: B1 =25e4; sigma = 8433876091436271     
   Nov 26, 2023  n=208180: 83339350681403396074129321;                              ecm: B1 =25e4; sigma = 4358981967429571     
 

- Found by Alfred Reich
   Nov 25, 2023  n =67009: 847189247559824624677;                                   ecm: B1 = 5e4; sigma = 1927755255213472 
   Nov 25, 2023  n =67015: 126921732887450094630271;                                ecm: B1 = 5e4; sigma = 7370073966492752 
   Nov 25, 2023  n =67035: 988161981776390220721;                                   ecm: B1 = 5e4; sigma = 8633598052942804 
   Nov 25, 2023  n =67037: 407942361541170190711;                                   ecm: B1 = 5e4; sigma = 8562286500476291 
   Nov 25, 2023  n =67037: 6360849059256553163;                                     ecm: B1 = 5e4; sigma = 4990207676959416 
   Nov 25, 2023  n =67039: 376344011751662606490427;                                ecm: B1 = 5e4; sigma = 7351252142369822 
   Nov 25, 2023  n =67045: 1492525050419375822081;                                  ecm: B1 = 5e4; sigma = 3534711125710746 
   Nov 25, 2023  n =67049: 1808243724112544162035351;                               ecm: B1 = 5e4; sigma = 5851614818001500 
   Nov 25, 2023  n =67049: 12923314299937828243;                                    ecm: B1 = 5e4; sigma = 4390958084619278 
   Nov 25, 2023  n =67085: 41539756423106791631;                                    ecm: B1 = 5e4; sigma = 5050775811743022 
   Nov 25, 2023  n =67089: 3563496494427974987587;                                  ecm: B1 = 5e4; sigma = 3030325160776176 
   Nov 25, 2023  n =67105: 439124799859275151441;                                   ecm: B1 = 5e4; sigma = 5039469501716528 
   Nov 25, 2023  n =67111: 2773265565467818037;                                     ecm: B1 = 5e4; sigma = 1173844782117514 
   Nov 25, 2023  n =67119: 183674782693831261639;                                   ecm: B1 = 5e4; sigma = 5200929995425304 
   Nov 25, 2023  n =67129: 2059943566308993773;                                     ecm: B1 = 5e4; sigma = 3077795928913926 
   Nov 25, 2023  n =67149: 8569039102951540519;                                     ecm: B1 = 5e4; sigma = 2177708396015537 
   Nov 25, 2023  n =67155: 12078181584263778409471;                                 ecm: B1 = 5e4; sigma = 7051223967896928 
   Nov 25, 2023  n =67167: 1274240947389840163;                                     ecm: B1 = 5e4; sigma = 1900754766988321 
   Nov 25, 2023  n =67191: 15976004877501387606751;                                 ecm: B1 = 5e4; sigma = 5344151882193529 
   Nov 25, 2023  n =67239: 232992827742091912369453;                                ecm: B1 = 5e4; sigma = 6100526089543422 
   Nov 25, 2023  n =67243: 1441409169259062208369758001;                            ecm: B1 = 5e4; sigma = 3627645161200128 
   Nov 25, 2023  n =67263: 37444600545627398719;                                    ecm: B1 = 5e4; sigma = 1722488958656683 
   Nov 25, 2023  n =67269: 498620486763089455159;                                   ecm: B1 = 5e4; sigma = 7601302056116485 
   Nov 25, 2023  n =67287: 4088019673588632409;                                     ecm: B1 = 5e4; sigma = 8570672445955560 
   Nov 25, 2023  n =67303: 135225854148983312489;                                   ecm: B1 = 5e4; sigma = 3137842681541597 
   Nov 25, 2023  n =67355: 390752899989364362311;                                   ecm: B1 = 5e4; sigma = 5884822362734335 
   Nov 25, 2023  n =67397: 35968227463657986050521837;                              ecm: B1 = 5e4; sigma = 4169427591542931 
   Nov 25, 2023  n =67403: 2064052283954243660351;                                  ecm: B1 = 5e4; sigma = 2255079962941592 
   Nov 25, 2023  n =67425: 144306471088238260826106001;                             ecm: B1 = 5e4; sigma = 8884758456966295       
   Nov 25, 2023  n =67451: 43571991855400425670079;                                 ecm: B1 = 5e4; sigma = 17561389931359 
   Nov 25, 2023  n =67461: 336706306356058831711;                                   ecm: B1 = 5e4; sigma = 4045028955836543 
   Nov 25, 2023  n =67479: 801409098964574465707;                                   ecm: B1 = 5e4; sigma = 7346607620005034     
   Nov 25, 2023  n =67485: 12747371875762929241;                                    ecm: B1 = 5e4; sigma = 5748757302878766 
   Nov 25, 2023  n =67509: 2834695691579787283;                                     ecm: B1 = 5e4; sigma = 6822265412635283 
   Nov 25, 2023  n =67509: 10921317865199822845441;                                 ecm: B1 = 5e4; sigma = 7010184550145817      
   Nov 25, 2023  n =67515: 1544594485403559736231;                                  ecm: B1 = 5e4; sigma = 7428014639248040       
   Nov 25, 2023  n =67543: 190160052353238386987;                                   ecm: B1 = 5e4; sigma = 3164469354512745      
   Nov 25, 2023  n =67545: 2543472362912749884991;                                  ecm: B1 = 5e4; sigma = 2433021041585772 
   Nov 25, 2023  n =67557: 5157851740764106462028413;                               ecm: B1 = 5e4; sigma = 4264602323225879 
   Nov 25, 2023  n =67559: 12680264573428140683;                                    ecm: B1 = 5e4; sigma = 5907730965214025      
   Nov 25, 2023  n =67591: 1734931054820224357;                                     ecm: B1 = 5e4; sigma = 147212774870318     
   Nov 25, 2023  n =67591: 388033147241087875603;                                   ecm: B1 = 5e4; sigma = 3154593268888714 
   Nov 25, 2023  n =67641: 11893552978804154071;                                    ecm: B1 = 5e4; sigma = 593739729277004 
   Nov 25, 2023  n =67645: 72826533302160440111;                                    ecm: B1 = 5e4; sigma = 4368853808980989 
   Nov 25, 2023  n =67645: 1662160340826377892671;                                  ecm: B1 = 5e4; sigma = 2501765460403933      
   Nov 25, 2023  n =67657: 10070793700436844721;                                    ecm: B1 = 5e4; sigma = 3880286103326158      
   Nov 25, 2023  n =67657: 1431849432621252031;                                     ecm: B1 = 5e4; sigma = 1210033168587173      
   Nov 25, 2023  n =67663: 315632601411158707649;                                   ecm: B1 = 5e4; sigma = 1050006183948099      
   Nov 25, 2023  n =67667: 1095282352056930882763;                                  ecm: B1 = 5e4; sigma = 5005323444290327 
   Nov 25, 2023  n =67669: 391110716923441720199;                                   ecm: B1 = 5e4; sigma = 2993088471606574 
   Nov 25, 2023  n =67707: 31242819994830574432147;                                 ecm: B1 = 5e4; sigma = 952124931370008 
   Nov 25, 2023  n =67713: 1095932145746711881;                                     ecm: B1 = 5e4; sigma = 8449761646418848 
   Nov 25, 2023  n =67729: 1385239782836048053;                                     ecm: B1 = 5e4; sigma = 20794476054863 
   Nov 25, 2023  n =67733: 6637458483336138307;                                     ecm: B1 = 5e4; sigma = 6304563231849048      
   Nov 25, 2023  n =67747: 51118704661353774301147;                                 ecm: B1 = 5e4; sigma = 5100312549659434       
   Nov 25, 2023  n =67751: 256814345331246758127637;                                ecm: B1 = 5e4; sigma = 35105546549499      
   Nov 25, 2023  n =67753: 188629911562976776439;                                   ecm: B1 = 5e4; sigma = 6163811265113713      
   Nov 25, 2023  n =67769: 13399157535341284877;                                    ecm: B1 = 5e4; sigma = 5917495238139263     
   Nov 25, 2023  n =67787: 1501558965848853071;                                     ecm: B1 = 5e4; sigma = 1376007252144084      
   Nov 25, 2023  n =67811: 237193155812112462253;                                   ecm: B1 = 5e4; sigma = 2939565802713061       
   Nov 25, 2023  n =67821: 117378004368534957529;                                   ecm: B1 = 5e4; sigma = 1619145281594896      
   Nov 25, 2023  n =67825: 520659299767028130551;                                   ecm: B1 = 5e4; sigma = 526821734396555      
   Nov 25, 2023  n =67831: 39627443184422518133;                                    ecm: B1 = 5e4; sigma = 4959170915723127       
   Nov 25, 2023  n =67833: 255644454281647995667693;                                ecm: B1 = 5e4; sigma = 3397472282620837      
   Nov 25, 2023  n =67837: 3601678793744659321;                                     ecm: B1 = 5e4; sigma = 4450701371104456      
   Nov 25, 2023  n =67857: 452100199658810923321;                                   ecm: B1 = 5e4; sigma = 8741643713316965       
   Nov 25, 2023  n =67859: 33372957627111434092003;                                 ecm: B1 = 5e4; sigma = 3209775539740776       
   Nov 25, 2023  n =67859: 1094508637672593683;                                     ecm: B1 = 5e4; sigma = 7327504157454197       
   Nov 25, 2023  n =67865: 11801786881535150641;                                    ecm: B1 = 5e4; sigma = 4907245323900349       
   Nov 25, 2023  n =67887: 46477904150645101369;                                    ecm: B1 = 5e4; sigma = 7799782956979027      
   Nov 25, 2023  n =67917: 101591017642679909077;                                   ecm: B1 = 5e4; sigma = 6827392079960507       
   Nov 25, 2023  n =67931: 1366907213882318587;                                     ecm: B1 = 5e4; sigma = 7570793385528000      
   Nov 25, 2023  n =67943: 8740669878105555853;                                     ecm: B1 = 5e4; sigma = 309391187610632      
   Nov 25, 2023  n =67975: 2874558284157217586351;                                  ecm: B1 = 5e4; sigma = 2451400077846085       
   Nov 25, 2023  n =98161: 34226561092960837399;                                    ecm: B1 = 5e4; sigma = 8834772683999776    
   Nov 25, 2023  n =98321: 7996733850526763855077;                                  ecm: B1 = 5e4; sigma = 3778000496765959 
   Nov 25, 2023  n =98383: 14726284054156109693;                                    ecm: B1 = 5e4; sigma = 3723495834994363 
   Nov 25, 2023  n =98503: 1311300222121481;                                        ecm: B1 = 5e4; sigma = 7116890471357060 
   Nov 25, 2023  n =98673: 15648068819921413;                                       ecm: B1 = 5e4; sigma = 307350787407757 
   Nov 25, 2023  n =98687: 1278785203144403;                                        ecm: B1 = 5e4; sigma = 1169827039689077      
   Nov 25, 2023  n =98803: 3060218344805878603;                                     ecm: B1 = 5e4; sigma = 8833697583155440 
   Nov 25, 2023  n =98805: 21169823148093271;                                       ecm: B1 = 5e4; sigma = 3759423965881258     
   Nov 25, 2023  n =98997: 27353861869895761;                                       ecm: B1 = 5e4; sigma = 6501603436895888 
   Nov 25, 2023  n =99013: 1004676948956934467;                                     ecm: B1 = 5e4; sigma = 2350159543734936 
   Nov 25, 2023  n =99055: 3645243581279766511;                                     ecm: B1 = 5e4; sigma = 2935743765173752     
   Nov 25, 2023  n =99135: 61861974887085481;                                       ecm: B1 = 5e4; sigma = 2666675397366572 
   Nov 25, 2023  n =99171: 2427011726200930243;                                     ecm: B1 = 5e4; sigma = 1984544414374169 
   Nov 25, 2023  n =99197: 121718086434874811108011723;                             ecm: B1 = 5e4; sigma = 1768637069951347 
   Nov 25, 2023  n =99255: 128771300909522311;                                      ecm: B1 = 5e4; sigma = 8454345981908635 
   Nov 25, 2023  n =99361: 86667203746546289;                                       ecm: B1 = 5e4; sigma = 8206384914608523 
   Nov 25, 2023  n =99493: 65603647761755093;                                       ecm: B1 = 5e4; sigma = 4328967651054696 
   Nov 25, 2023  n =99585: 1295955768168613184401;                                  ecm: B1 = 5e4; sigma = 5478323588938251 
   Nov 25, 2023  n =99609: 2696862813648511;                                        ecm: B1 = 5e4; sigma = 6293739440240437 
   Nov 25, 2023  n =99667: 98832711112675346083;                                    ecm: B1 = 5e4; sigma = 3045007387196011      
   Nov 25, 2023  n =99677: 44170709129536530182923;                                 ecm: B1 = 5e4; sigma = 5409627463806074      
   Nov 25, 2023  n =99693: 17179068490533973;                                       ecm: B1 = 5e4; sigma = 3434099972985367       
   Nov 25, 2023  n =99747: 168027661251588277;                                      ecm: B1 = 5e4; sigma = 6522605094935225 
   Nov 25, 2023  n =99819: 34829452914350203;                                       ecm: B1 = 5e4; sigma = 861408964650262 
   Nov 25, 2023  n =99821: 93655888181375528231;                                    ecm: B1 = 5e4; sigma = 7436914992361836 
   Nov 25, 2023  n =99843: 165896010927756751;                                      ecm: B1 = 5e4; sigma = 614782756569788 
   Nov 25, 2023  n =99925: 50956648784583151;                                       ecm: B1 = 5e4; sigma = 3432005746302 
   Nov 25, 2023  n =99983: 24537275363476778813;                                    ecm: B1 = 5e4; sigma = 7439445993888157 


- Found by Alfred Reich
   Nov 25, 2023  n =12663: 98002444978844265637;                                    ecm: B1 = 5e4; sigma = 7403193233093948  
   Nov 25, 2023  n =12745: 9450681025192794991;                                     ecm: B1 = 5e4; sigma = 3440409070581364  
   Nov 25, 2023  n =12789: 487597831645329642637;                                   ecm: B1 = 5e4; sigma = 2869395253767228  
   Nov 25, 2023  n =12843: 183962746028996959962277;                                ecm: B1 = 5e4; sigma = 1717118923417423  
   Nov 25, 2023  n =12881: 18995964705698369408449;                                 ecm: B1 = 5e4; sigma = 619559442112758  
   Nov 25, 2023  n =12903: 955372943114334718249;                                   ecm: B1 = 5e4; sigma = 7451192459602892  
   Nov 25, 2023  n =12987: 331346662753651613641;                                   ecm: B1 = 5e4; sigma = 6012074623363972  
   Nov 25, 2023  n =13475: 16766025022647035411768801;                              ecm: B1 = 5e4; sigma = 4173452121735185  
   Nov 25, 2023  n =13537: 332833229087290284921357763;                             ecm: B1 = 5e4; sigma = 5877573910925547  
   Nov 25, 2023  n =13557: 1611321607321888950468511;                               ecm: B1 = 5e4; sigma = 3473817859433710  
   Nov 25, 2023  n =13971: 662727063335563405709107;                                ecm: B1 = 5e4; sigma = 6879342806023546  
   Nov 25, 2023  n =14229: 4624255754983543969;                                     ecm: B1 = 5e4; sigma = 8535028848464290  
   Nov 25, 2023  n =15145: 14688636297308752218311;                                 ecm: B1 = 5e4; sigma = 4975893848827143  
   Nov 25, 2023  n =19695: 12957279523250542351;                                    ecm: B1 = 5e4; sigma = 5191296807311842  
   Nov 25, 2023  n =19987: 33121641118340092283681;                                 ecm: B1 = 5e4; sigma = 6781107246501326  
   Nov 25, 2023  n =21093: 6948808930915338766957;                                  ecm: B1 = 5e4; sigma = 7160252075354030  
   Nov 25, 2023  n =22335: 24426869903552059081;                                    ecm: B1 = 5e4; sigma = 8267943551384970  
   Nov 25, 2023  n =22347: 14348349431110794529;                                    ecm: B1 = 5e4; sigma = 4324049946098691  
   Nov 25, 2023  n =22359: 1812924888262227757;                                     ecm: B1 = 5e4; sigma = 5559836800446266  
   Nov 25, 2023  n =22385: 7133239311207263321;                                     ecm: B1 = 5e4; sigma = 7700709014921232  
   Nov 25, 2023  n =22421: 5108154651672808639;                                     ecm: B1 = 5e4; sigma = 104096469327015  
   Nov 25, 2023  n =22427: 14946389079846389754643;                                 ecm: B1 = 5e4; sigma = 2899488644240445  
   Nov 25, 2023  n =22431: 431125245137785097083;                                   ecm: B1 = 5e4; sigma = 4983795849314414  
   Nov 25, 2023  n =22445: 3800983302005010761;                                     ecm: B1 = 5e4; sigma = 8287814987185752  
   Nov 25, 2023  n =22483: 4565703714675350533757;                                  ecm: B1 = 5e4; sigma = 12966971486111  
   Nov 25, 2023  n =22497: 278503720601929639237;                                   ecm: B1 = 5e4; sigma = 6499430743933531  
   Nov 25, 2023  n =22515: 115574641580460279991;                                   ecm: B1 = 5e4; sigma = 8301173627694659  
   Nov 25, 2023  n =22535: 18986706805159529641;                                    ecm: B1 = 5e4; sigma = 4461957708217368  
   Nov 25, 2023  n =22569: 332683475222542340569;                                   ecm: B1 = 5e4; sigma = 4138148179691556  
   Nov 25, 2023  n =22585: 7176389202393612516641;                                  ecm: B1 = 5e4; sigma = 5576741327058481  
   Nov 25, 2023  n =22597: 727085623323347502911;                                   ecm: B1 = 5e4; sigma = 7579334459908617  
   Nov 25, 2023  n =22599: 1551975989076725938881049;                               ecm: B1 = 5e4; sigma = 5470457787879225  
   Nov 25, 2023  n =22629: 2974215447587508480151;                                  ecm: B1 = 5e4; sigma = 4212936171180775  
   Nov 25, 2023  n =22661: 513924516321158806870693;                                ecm: B1 = 5e4; sigma = 748036229086014  
   Nov 25, 2023  n =23001: 10225642460699152609;                                    ecm: B1 = 5e4; sigma = 6211648171387106  
   Nov 25, 2023  n =32827: 733651121006845154231;                                   ecm: B1 = 5e4; sigma = 1758986725449289  
   Nov 25, 2023  n =32949: 138841267979139189787;                                   ecm: B1 = 5e4; sigma = 7362181199857260  
   Nov 25, 2023  n =32975: 14940342555624401;                                       ecm: B1 = 5e4; sigma = 3771902253374041 
   Nov 25, 2023  n =33145: 12205419572140481;                                       ecm: B1 = 5e4; sigma = 6572235684750527  
   Nov 25, 2023  n =33145: 13247945217495020761;                                    ecm: B1 = 5e4; sigma = 6572235684750527  
   Nov 25, 2023  n =33283: 2433348529011076564963;                                  ecm: B1 = 5e4; sigma = 7061316848182957  
   Nov 25, 2023  n =34675: 147018917321281711001;                                   ecm: B1 = 5e4; sigma = 7317891792886945  
   Nov 25, 2023  n =34941: 8669581968572479639603;                                  ecm: B1 = 5e4; sigma = 8080904184620901  
   Nov 25, 2023  n =35035: 5990868188120405591;                                     ecm: B1 = 5e4; sigma = 8680845482638943  
   Nov 25, 2023  n =35189: 210803659024591256471;                                   ecm: B1 = 5e4; sigma = 4233279313175570  
   Nov 25, 2023  n =59807: 30735644812472317763;                                    ecm: B1 = 5e4; sigma = 962306930362850  
   Nov 25, 2023  n=102731: 112359895190387867719;                                   ecm: B1 = 5e4; sigma = 4161162114475114  
   Nov 25, 2023  n=102733: 111226828268592600559;                                   ecm: B1 = 5e4; sigma = 2437906303979399  
   Nov 25, 2023  n=103719: 1290140971751612751079;                                  ecm: B1 = 5e4; sigma = 4134864307310497  
   Nov 25, 2023  n=103741: 4991878000446696895031;                                  ecm: B1 = 5e4; sigma = 1129395108572551 
   Nov 25, 2023  n=103959: 95680395004052191159;                                    ecm: B1 = 5e4; sigma = 5542465599425167  
   Nov 25, 2023  n=104217: 308264195958705655180597;                                ecm: B1 = 5e4; sigma = 6338999688447018  
   Nov 25, 2023  n=104387: 1433469173887645351;                                     ecm: B1 = 5e4; sigma = 7546147161680778  
   Nov 25, 2023  n=104431: 6172156990956278431;                                     ecm: B1 = 5e4; sigma = 4423267125729440  
   Nov 25, 2023  n=104843: 47478149243437771483;                                    ecm: B1 = 5e4; sigma = 1795095631014900  
   Nov 25, 2023  n=104869: 1172031667353792395443;                                  ecm: B1 = 5e4; sigma = 8120444611686127  
   Nov 25, 2023  n=105001: 148706889713488324609;                                   ecm: B1 = 5e4; sigma = 97261727469383  
   Nov 25, 2023  n=105289: 1977583807402082471093;                                  ecm: B1 = 5e4; sigma = 5977918285254242  
   Nov 25, 2023  n=105383: 4187469423891154241;                                     ecm: B1 = 5e4; sigma = 8434578699613317  
   Nov 25, 2023  n=105885: 7686156191946788791;                                     ecm: B1 = 5e4; sigma = 8969028662206783  
   Nov 25, 2023  n=299031: 1926343769695610332987;                                  ecm: B1 = 5e4; sigma = 1313577348645313  
   Nov 25, 2023  n=299031: 586603476798236969245093;                                ecm: B1 = 5e4; sigma = 3879248761952548  
   Nov 25, 2023  n=299015: 13236863766080508311;                                    ecm: B1 = 5e4; sigma = 582872980495337  
 
 
- Found by Kurt Beschorner  
   Nov 22, 2023  n = 6251: 183702145430882564160192114436197121;                    ecm: B1 = 1e6; sigma = 0:1547126799216090
   Nov 22, 2023  n=100053: 52980335399468881 * 1163337235......c66673;              P-1: B1 = 2.4e6
   Nov 22, 2023  n=100061: 8355517286552203 * 3366810532......c89666;               P-1: B1 = 1.2e6
   Nov 22, 2023  n=100063: 11152513681217244632431 * 1862809793......c97857;        P-1: B1 = 1.1e6 
   Nov 22, 2023  n=100067: 55416624847781231 * 1447464640......c90832;              P-1: B1 = 1.2e6 


- Found by Alfred Eichhorn 
   Nov 11, 2023  n =76253: 886985144553853110204787;                                ecm: B1 = 5e4; sigma = 5857801957964457 
   Nov 11, 2023  n =76333: 981666212525311219271;                                   ecm: B1 = 5e4; sigma = 6272741605172731 


- Found by Anonymous 
   Nov 11, 2023  n=11140L: 3469543086790320731944492070561    


- Found by Anonymous 
   Nov 10, 2023  n = 3052: 74574292014555719066498713223189      
   Nov 10, 2023  n = 3452: 1743128883441681202534799974849289      
   Nov 10, 2023  n =6500M: 71178027610558379634714333162503157613501      
   Nov 10, 2023  n =8380M: 49453918341530959777007194979644921      
   Nov 10, 2023  n=10620M: 135315609294869181173950925834701      
   Nov 10, 2023  n=10700M: 488239289020187886343898117565101      
   Nov 10, 2023  n=10900L: 118223867871480452556119349316349701    


- Found by Kurt Beschorner  
   Nov 08, 2023  n = 5951: 4046088391818785098742352077503483;                      ecm: B1 = 1e6; sigma = 0:4522287507650911
   Nov 08, 2023  n =11264: 13540656849042511279445471315969;                        ecm: B1 = 1e6; sigma = 0:3393233945647131 
   Nov 08, 2023  n =12857: 79954504302496047751484569;                              P-1: B1 = 43e6
   Nov 08, 2023  n =12857: 7364197116775169489545806769;                            P-1: B1 = 43e6


-  Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt Beschorner 
   Nov 06, 2023   R942/c209: SNFS-difficulty = 314 
                  1399M unique raw relations are collected
                  currently progress 99.0 %;    
                  msieve excerpts:
                  - target-density = 126
                  - begin with 1399M relations and 1202M unique ideals
                  - found 69992436 cycles, need 69443283 (= matrix size)
                  - weight of 69443283 cycles is about 8750092668 (126.00/cycle)
                  Our target is a matrix lower than 70M * 70M with target_density = 130
                  We are checking whether the matrix can be resolved using MPI technology via a computer network
 

- Found by Kurt Beschorner  
   Oct 28, 2023  n = 1287: 31791118514492382191034849488929538857017871;            ecm: B1 =11e7; sigma = 0:7890000879872781
   Oct 28, 2023  n =12725: 1382802438894546402103751;                               P-1: B1 = 148e6
   Oct 28, 2023  n =12775: 26171982151558016427106411351;                           P-1: B1 = 53e6
   Oct 28, 2023  n =12791: 7123985365669391644747777026199;                         P-1: B1 = 33e6


- Found by Alfred Eichhorn 
   Oct 23, 2023  n =71253: 99119962598311424166797;     ***                         ecm: B1 = 5e4; sigma = 0:3455273812799019 
   Oct 23, 2023  n =71333: 4570751741700915778834487372147;                         ecm: B1 = 5e4; sigma = 3492651374048491 
   Oct 23, 2023  n =75577: 2694671676891118317715603;                               ecm: B1 = 5e4; sigma = 319688531477512 

-  Correction: find out by Makoto Kamada
***Oct 25, 2023  false:        Oct 23, 2023  n =71253: 99119962598311424166797;      
   Oct 25, 2023  correct:      Oct 23, 2023  n =71263: 99119962598311424166797;      


ECM efforts
with Rn:           1 < n < 2000 (Dec 02, 2023) with Rn:     1999 < n < 3000 (Dec 03, 2023)
with Rn:     2999 < n < 4000 (Dec 03, 2023) with Rn:     3999 < n < 5000 (Dec 04, 2023)
with Rn:     4999 < n < 6000 (Dec 06, 2023) with Rn:     5999 < n < 7000 (Dec 04, 2023)
with Rn:     6999 < n < 8000 (Dec 04, 2023) with Rn:     7999 < n < 9000 (Dec 04, 2023)
with Rn:     8999 < n <10000 (Dec 04, 2023) with Rn:     9999 < n <11000 (Dec 06, 2023)
with Rn:   10999 < n <12000 (Dec 06, 2023) with Rn:   11999 < n <14980L/M (Dec 02, 2023)



currently ECM-efforts by   yoyo@home:    ecm-curves
B1 = 11e7/17500 curves/
numbers < 751 digits
617
in progress
619
in progress
629
in progress
641
in progress
643
in progress
B1 = 26e7/45000 curves/
numbers < 450 digits
487
in progress
557
in progress
625
in progress
1136
in progress
1160
in progress
B1 = 85e7/70000 curves/
numbers < 400 digits
505
in progress
627
in progress
1036
in progress
1040
in progress
1386
in progress
B1 = 29e8/nnnn curves/
numbers < 400 digits
503
in progress
1182
in progress
1254
in progress
2300L
in progress
....
in progress



Factorizations
Repunits: R1        - R2500 (Dec 03, 2023) Repunits:  R2501 - R5000 (Dec 04, 2023)
Repunits: R5001   - R7500 (Dec 04, 2023) Repunits: R7501 - R10000 (Dec 04, 2023)
Repunits: R10001 - R12500 (Dec 06, 2023) Repunits: R12501 - R14980L/M (Feb 27, 2023)




Rprime project; base 10

last update: Dec 19, 2022

old project page   -   out of date

Status:       3 - 1M     1M - 2M     2M - 3M     3M - 4M     4M - 5M     5M - 6M     6M - 7M     7M - 8M     8M - 9M     9M - 10M    
Details:     3 - 1M     1M - 2M     2M - 3M     3M - 4M     4M - 5M     5M - 6M     6M - 7M     7M - 8M     8M - 9M     9M - 10M    

active members:
    - Danilo Nitsche, Kurt Beschorner

all contributors:   Danilo Nitsche, Serge Batalov, Paul Bourdelais, Benjamin Chaffin, Charles, Bo Chen, Alfred Eichhorn, FactorDB.com, Giovanni Di Maria,
                              Fan Ming, Phil, Richard Kapek, kkmrkkblmbrbk (aka GP2), Pavlos, Ryan Propper, Edo Rajh, Alfred Reich, Nejc Skoberne, Sebastian,
                              MattStath, Maksym Voznyy, wims, Kurt Beschorner
Overview
 
    Exponent     Primes/PRP                     found by ...
    - 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)




Visitors since Oct 27, 2020: zur Webseite

Top of page