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


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-  Last update: Feb 29, 2024

- Found by Kurt Beschorner
   Feb 29, 2024  n =10335: 1549956242052833162118620306401;                         ecm: B1 = 1e6; sigma = 0:6780271921532861 
   Feb 29, 2024  n =10408: 14370694506223165288707229970617;                        ecm: B1 = 1e6; sigma = 8806874869199137
   Feb 29, 2024  n =10424: 8606812592746882737809302233409;                         ecm: B1 = 1e6; sigma = 4247777747100720
   Feb 29, 2024  n =11414: 1167728903112961341541531507691;                         ecm: B1 = 1e6; sigma = 3216681011953137
   Feb 19, 2024  n=147449: 11828400848099433799;                                    gr-mfaktc


- Found by Sam Wagstaff    
   Feb 26, 2024  n =  818: 89909332182322637174267412766780073091874834080069255427757; ecm 


- Found by Kurt Beschorner 
   Feb 24, 2024  n =  649: 3185748559637643456066133367277689749860976255110653;    ecm: B1 =11e7; sigma = 0:3763781678208499 

		
-  Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt Beschorner 
   Feb 23, 2024   R471/c301: SNFS-difficulty = 314 
                  1215M unique raw relations of 2500M are collected  
                  currently progress 48 %;    

                     
- Found by Alfred Eichhorn
   Feb 14, 2024  n =69859: 8434285361839984895778533;                               ecm: B1 = 5e4; sigma = 2445261498672925

					 
-  Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Oliver Kruse, Kurt Beschorner 
   Feb 10, 2024  n =  942: 9755872853901756680890615403191792297388117293582105055568357694889056982187114874692197915708047; SNFS  
   Details:
   - R942: SNFS-difficulty = 314 
     Sat Nov 11 11:17:54 2023  Msieve v. 1.54 (SVN r1044)
     Sat Nov 11 11:17:54 2023  random seeds: 60253a75 007cd855
     Sat Nov 11 11:17:54 2023  factoring 30862083832190969399642448329237079281358998786734541342232902569072683505580523380381489228423400116527554057338104357145657543175005161681489015756307835902130639405231933246244136812560041424780296737530889 (209 digits)
     Sat Nov 11 11:17:55 2023  no P-1/P+1/ECM available, skipping
     Sat Nov 11 11:17:55 2023  commencing number field sieve (209-digit input)
     Sat Nov 11 11:17:55 2023  R0: -10000000000000000000000000000000000000000000000000000
     Sat Nov 11 11:17:55 2023  R1: 1
     Sat Nov 11 11:17:55 2023  A0: 1
     Sat Nov 11 11:17:55 2023  A1: 0
     Sat Nov 11 11:17:55 2023  A2: 0
     Sat Nov 11 11:17:55 2023  A3: -10
     Sat Nov 11 11:17:55 2023  A4: 0
     Sat Nov 11 11:17:55 2023  A5: 0
     Sat Nov 11 11:17:55 2023  A6: 100
     Sat Nov 11 11:17:55 2023  skew 0.64, size 2.684e-15, alpha -0.127, combined = 1.160e-15 rroots = 0
     Sat Nov 11 11:17:55 2023  commencing relation filtering
     Sat Nov 11 11:17:55 2023  setting target matrix density to 130.0
     Sat Nov 11 11:17:55 2023  estimated available RAM is 130983.0 MB
     Sat Nov 11 11:17:55 2023  commencing duplicate removal, pass 1
     Sat Nov 11 11:52:23 2023  error -15 reading relation 196874611
     ...
     Sat Nov 11 15:51:51 2023  skipped 1120644 relations with b > 2^32
     Sat Nov 11 15:51:51 2023  skipped 2634 relations with composite factors
     Sat Nov 11 15:52:00 2023  found 325844461 hash collisions in 1439959899 relations
     Sat Nov 11 15:52:28 2023  commencing duplicate removal, pass 2
     Sat Nov 11 17:18:01 2023  found 8457401 duplicates and 1431502498 unique relations
     Sat Nov 11 17:18:01 2023  memory use: 16280.0 MB
     Sat Nov 11 17:18:03 2023  reading ideals above 812974080
     Sat Nov 11 17:18:03 2023  commencing singleton removal, initial pass
     Sat Nov 11 22:20:10 2023  memory use: 21024.0 MB
     Sat Nov 11 22:20:15 2023  reading all ideals from disk
     Sat Nov 11 22:22:13 2023  memory use: 26910.1 MB
     Sat Nov 11 22:25:23 2023  commencing in-memory singleton removal
     Sat Nov 11 22:28:29 2023  begin with 1431502498 relations and 1210425856 unique ideals
     Sat Nov 11 23:38:05 2023  reduce to 962297124 relations and 696430793 ideals in 15 passes
     Sat Nov 11 23:38:05 2023  max relations containing the same ideal: 53
     Sat Nov 11 23:42:10 2023  reading ideals above 720000
     Sat Nov 11 23:42:14 2023  commencing singleton removal, initial pass
     Sun Nov 12 03:28:50 2023  memory use: 21024.0 MB
     Sun Nov 12 03:28:54 2023  reading all ideals from disk
     Sun Nov 12 03:31:44 2023  memory use: 44648.7 MB
     ... 
     Tue Nov 14 08:39:49 2023  commencing in-memory singleton removal
     Tue Nov 14 08:40:17 2023  begin with 236428517 relations and 235660066 unique ideals
     Tue Nov 14 08:47:03 2023  reduce to 236285362 relations and 230413441 ideals in 6 passes
     Tue Nov 14 08:47:03 2023  max relations containing the same ideal: 85
     Tue Nov 14 08:51:28 2023  relations with 0 large ideals: 127875
     Tue Nov 14 08:51:28 2023  relations with 1 large ideals: 95486
     Tue Nov 14 08:51:28 2023  relations with 2 large ideals: 1301900
     Tue Nov 14 08:51:28 2023  relations with 3 large ideals: 7741623
     Tue Nov 14 08:51:28 2023  relations with 4 large ideals: 25166632
     Tue Nov 14 08:51:28 2023  relations with 5 large ideals: 49597077
     Tue Nov 14 08:51:28 2023  relations with 6 large ideals: 62285102
     Tue Nov 14 08:51:28 2023  relations with 7+ large ideals: 89969667
     Tue Nov 14 08:51:28 2023  commencing 2-way merge
     Tue Nov 14 08:56:46 2023  reduce to 150480987 relation sets and 144609066 unique ideals
     Tue Nov 14 08:56:47 2023  commencing full merge
     Tue Nov 14 10:39:21 2023  memory use: 18337.9 MB
     Tue Nov 14 10:39:51 2023  found 67501310 cycles, need 66981266
     Tue Nov 14 10:39:56 2023  weight of 66981266 cycles is about 8707922449 (130.01/cycle)
     Tue Nov 14 10:39:56 2023  distribution of cycle lengths:
     Tue Nov 14 10:39:56 2023  1 relations: 3801061
     Tue Nov 14 10:39:56 2023  2 relations: 4306316
     Tue Nov 14 10:39:56 2023  3 relations: 4711699
     Tue Nov 14 10:39:56 2023  4 relations: 4725778
     Tue Nov 14 10:39:56 2023  5 relations: 4836562
     Tue Nov 14 10:39:56 2023  6 relations: 4738034
     Tue Nov 14 10:39:56 2023  7 relations: 4697005
     Tue Nov 14 10:39:56 2023  8 relations: 4502168
     Tue Nov 14 10:39:56 2023  9 relations: 4303068
     Tue Nov 14 10:39:56 2023  10+ relations: 26359575
     Tue Nov 14 10:39:56 2023  heaviest cycle: 28 relations
     Tue Nov 14 10:40:32 2023  commencing cycle optimization
     Tue Nov 14 10:44:49 2023  start with 578109023 relations
     Tue Nov 14 11:23:20 2023  pruned 25164870 relations
     Tue Nov 14 11:23:21 2023  memory use: 15674.6 MB
     Tue Nov 14 11:23:21 2023  distribution of cycle lengths:
     Tue Nov 14 11:23:21 2023  1 relations: 3801061
     Tue Nov 14 11:23:21 2023  2 relations: 4418872
     Tue Nov 14 11:23:21 2023  3 relations: 4910588
     Tue Nov 14 11:23:21 2023  4 relations: 4919179
     Tue Nov 14 11:23:21 2023  5 relations: 5064834
     Tue Nov 14 11:23:21 2023  6 relations: 4959291
     Tue Nov 14 11:23:21 2023  7 relations: 4926516
     Tue Nov 14 11:23:21 2023  8 relations: 4712847
     Tue Nov 14 11:23:21 2023  9 relations: 4494751
     Tue Nov 14 11:23:21 2023  10+ relations: 24773327
     Tue Nov 14 11:23:21 2023  heaviest cycle: 28 relations
     Tue Nov 14 11:26:57 2023  RelProcTime: 259742
     Tue Nov 14 11:26:57 2023  elapsed time 72:09:03
 
   - Linear Algebra was performed by Oliver Kruse using CADO and MSIEVE-GPU
     - remove duplicates with CADO                                             
       - compile CADO with FLAGS_SIZE='-DSIZEOF_P_R_VALUES=8'.
       - run dup1.
       - run freerel to get the renumber table.
       - count the number of relations exactly (!).
       - run dup2.
       - run purge, making sure that -col-min-index is not too small and that -keep is set to 0.
       - convert all relations back to msieve format using convert_rels. 
       - the version used is not yet officially available; the currently used CADO version is not
         error-free	
       - build a matrix with the desired target density using msieve 
       - upload the matrix file to LambdaLabs, while building Greg Childers msieve-GPU on the target system
       - execute the LA (without root step) on a rented 80-GB-VRAM ( H100); time: about 73hours! 
       - get the dependency file (.dep) back to the local system
       - execute the root step (msieve -nc3) locally
	

- Found by Kurt Beschorner 
   Jan 30, 2024  n = 7263: 45518092928487766421674692049;                           ecm: B1 = 1e6; sigma = 7088526130537034 
   Jan 30, 2024  n =10750: 463203376918616978211875828162251;                       ecm: B1 = 1e6; sigma = 4552105348097849 
   Jan 30, 2024  n =10982: 208734985170341186165263799659;                          ecm: B1 = 1e6; sigma = 3988817073548606 
   Jan 30, 2024  n =11732: 442226965725515979200555021;                             ecm: B1 = 1e6; sigma = 4621185563765660 
               
 
- Found by YOYO@home/p3d-cluster  
   Jan 24, 2024  n = 1190: 1965071455547075976451793652436868115828909241266827512665803201; ecm: B1 = 7.6e9; sigma = 0:15698366658329656990


- Found by Alfred Eichhorn
   Jan 18, 2024  n =69239: 910886990662166228413268011249;                          ecm: B1 = 5e4; sigma = 6280182721233907
   Jan 18, 2024  n =72103: 4460034397243806489721;                                  ecm: B1 = 5e4; sigma = 8461366130542283

- Found by Yousuke Koide 
   Jan 04, 2024  n =  838: 1574200835907997335817135918163629758761675764557540970547321; ecm: B1 =30e7; sigma = 2:6044893835634751021


- Found by Kurt Beschorner 
   Dec 29, 2023  n = 5218: 1549339884595838182802063495302219;                      ecm: B1 = 3e6; sigma = 397965861566570 
   Dec 29, 2023  n =13067: 381885318948041718125341213;                             P-1: B1 = 30e6
   

- Found by Kurt Beschorner 
   Dec 24, 2023  n =  995: 4496923550405592963004409447842948530549521;             ecm: B1 =11e7; sigma = 0:5671941614311594 
   Dec 24, 2023  n = 8007: 74443633132160172610790541671227;                        ecm: B1 = 1e6; sigma = 0:6028324384104991 
   Dec 24, 2023  n = 8037: 38508757046525878223205656060816329;                     ecm: B1 = 1e6; sigma = 0:3759056719098403 
   Dec 24, 2023  n = 8883: 12310848646124592471308612180728921;                     ecm: B1 = 1e6; sigma = 0:3494728591877324 
   Dec 24, 2023  n =11326: 40934864723372094733948186127;                           ecm: B1 = 1e6; sigma = 5146009827622450 
   Dec 24, 2023  n =11452: 7472836251387998526237506669 * 1826911946......P4825;    ecm: B1 = 1e6; sigma = 1977351273509168 
   Dec 24, 2023  n =13023: 230223522995046177583541761;                             P-1: B1 = 54e6 

   
- Found by Alfred Eichhorn
   Dec 24, 2023  n =77543: 77297845932591945905323363;                              ecm: B1 = 5e4; sigma = 3292210568046258


- Found by Alfred Reich
   Dec 21, 2023  n =18184: 2999683797882171117794957593
   Dec 21, 2023  n =18404: 28939901929607431090928021
   Dec 21, 2023  n =18572: 1395833760418327547808581
   Dec 21, 2023  n =19254: 8012907944831068727941411
   Dec 21, 2023  n =33320: 4427186909972179259838401


- Found by Alfred Reich
   Dec 20, 2023  n = 3011: 8942391479719801452292494613336089209   
   Dec 20, 2023  n =14455: 489319115826935587481         
   Dec 20, 2023  n =14661: 2165330367619921            
   Dec 20, 2023  n =14795: 4048097292935081
   Dec 20, 2023  n =14853: 511549491340399609
   Dec 20, 2023  n =15221: 113644547512332978607643
   Dec 20, 2023  n =15699: 10624829026502227
   Dec 20, 2023  n =16695: 755227848837566643841
   Dec 20, 2023  n =16701: 1227568110509881227264391
   Dec 20, 2023  n =16737: 168553822144677480521683
   Dec 20, 2023  n =16747: 74070322256744898297308507
   Dec 20, 2023  n =16841: 620455417003224993360171431
   Dec 20, 2023  n =16849: 24739034223678109074881
   Dec 20, 2023  n =17243: 814444883421117551614082147
   Dec 20, 2023  n =17245: 155693450841751574639034031
   Dec 20, 2023  n =17311: 14999480628769610993923
   Dec 20, 2023  n =17375: 739314538130107951001
   Dec 20, 2023  n =20071: 74547860758815373271
   Dec 20, 2023  n =20131: 47582407370784897455643173
   Dec 20, 2023  n =20797: 1786576375704401
   Dec 20, 2023  n =20797: 545083931830093828949827
   Dec 20, 2023  n =21245: 449449693573017271 
   Dec 20, 2023  n =21655: 78322892986293521
   Dec 20, 2023  n =21855: 1250215154727214321
   Dec 20, 2023  n =22197: 236105297414411041
   Dec 20, 2023  n =28343: 17154421679728688611733
   Dec 20, 2023  n =28683: 128269750956599848571083
   Dec 20, 2023  n =22813: 48889525947960512557
   Dec 20, 2023  n =28701: 26190257570986323889
   Dec 20, 2023  n =28707: 37968841700959424053
   Dec 20, 2023  n =28715: 7164324052002846998561
   Dec 20, 2023  n =28739: 3307617341965244677
   Dec 20, 2023  n =28741: 213281116559381933
   Dec 20, 2023  n =28771: 6839335443984322559791591
   Dec 20, 2023  n =28773: 1432473151044421351
   Dec 20, 2023  n =28787: 17452463683720934618443
   Dec 20, 2023  n =28793: 107729921768353339709278728271
   Dec 20, 2023  n =28827: 8965801237961719
   Dec 20, 2023  n =28851: 562907856025988923
   Dec 20, 2023  n =28857: 781696861139188693
   Dec 20, 2023  n =28863: 72626191769479286825479
   Dec 20, 2023  n =28889: 1836020337675150820850399
   Dec 20, 2023  n =28893: 1119609406628084929
   Dec 20, 2023  n =28917: 5016781796997460267
   Dec 20, 2023  n =28969: 29971869223020582290473283
   Dec 20, 2023  n =28973: 30035356299547571519
   Dec 20, 2023  n =28983: 2485184297947357
   Dec 20, 2023  n =33509: 183241489617927721
   Dec 20, 2023  n =33545: 341666355771684992831
   Dec 20, 2023  n =33731: 179483876541541877
   Dec 20, 2023  n =34021: 85102612807734679 
   Dec 20, 2023  n =34229: 15425102807783813
   Dec 20, 2023  n =34323: 4316303364408121
   Dec 20, 2023  n =34335: 476691729296970601
   Dec 20, 2023  n =34493: 181725387787542851677
   Dec 20, 2023  n =34601: 109590398634678361
   Dec 20, 2023  n =34701: 3699717585157714957
   Dec 20, 2023  n =35711: 3547134933742597523
   Dec 20, 2023  n =34727: 848750426478622794281
   Dec 20, 2023  n =35785: 308525947202492927694481 
   Dec 20, 2023  n =35967: 104786371002391933
   Dec 20, 2023  n =35981: 10913297684973476959
   Dec 20, 2023  n =36407: 187764261619621287222203
   Dec 20, 2023  n =36501: 63530141741093471083
   Dec 20, 2023  n =36599: 22908933029439221923559
   Dec 20, 2023  n =36651: 12313462832515609
   Dec 20, 2023  n =36993: 360367423259726573068159
   Dec 20, 2023  n =37259: 36120871319278778707
   Dec 20, 2023  n =37275: 4738831762857111151
   Dec 20, 2023  n =38051: 4998132147851203729889 
   Dec 20, 2023  n =38191: 1006862581086363643
   Dec 20, 2023  n =50023: 4764590035602476593642900627
   Dec 20, 2023  n =50033: 111396848810420973131254970077
   Dec 20, 2023  n =50053: 3332542117417047121
   Dec 20, 2023  n =50107: 739274547390854471267
   Dec 20, 2023  n =50161: 1185818574457825928808524849
   Dec 20, 2023  n =50165: 58757029733533021144561
   Dec 20, 2023  n =50167: 1921667933049467681969827
   Dec 20, 2023  n =50169: 122233627565365351561
   Dec 20, 2023  n =50169: 15545788938471163
   Dec 20, 2023  n =50179: 80836423819964062258281685561
   Dec 20, 2023  n =50217: 103752473896238200564849
   Dec 20, 2023  n =50237: 25065431837599561
   Dec 20, 2023  n =50257: 6847939337800443973
   Dec 20, 2023  n =50263: 27710492289574389441479
   Dec 20, 2023  n =50281: 5687482637315709077
   Dec 20, 2023  n =50293: 13374240956667438361
   Dec 20, 2023  n =50303: 8830608239134503692333
   Dec 20, 2023  n =50335: 41169581415000435413231
   Dec 20, 2023  n =50337: 1067956299378797599
   Dec 20, 2023  n =50343: 26573360388347783822173
   Dec 20, 2023  n =50347: 193887384394507
   Dec 20, 2023  n =50347: 2343977597107436159
   Dec 20, 2023  n =50371: 33601903199020899719
   Dec 20, 2023  n =50373: 14948265618296083
   Dec 20, 2023  n =50375: 325115776091070342079001
   Dec 20, 2023  n =50379: 25227746700749692564921
   Dec 20, 2023  n =50395: 42682697894075536841
   Dec 20, 2023  n =50403: 391075333227921472639
   Dec 20, 2023  n =50419: 26245281971114892371338151
   Dec 20, 2023  n =50435: 6298901266834986348001
   Dec 20, 2023  n =50475: 82090457132654401801
   Dec 20, 2023  n =50483: 331006874283646178073271
   Dec 20, 2023  n =50499: 1244334600058275757
   Dec 20, 2023  n =50499: 300677443743864513961
   Dec 20, 2023  n =50507: 5945467046556194551
   Dec 20, 2023  n =50515: 8292732448341241
   Dec 20, 2023  n =50555: 255982417916670432644911
   Dec 20, 2023  n =85011: 153007511300335462119871
   Dec 20, 2023  n =85011: 232709170133079769
   Dec 20, 2023  n =85019: 17443094606296892413
   Dec 20, 2023  n =85025: 592924356031373845340342801
   Dec 20, 2023  n =86013: 172382128070013257348413
   Dec 20, 2023  n =86021: 8465041416832770625883
   Dec 20, 2023  n =86039: 1397010786205026634801
   Dec 20, 2023  n =86045: 305298208311139013081
   Dec 20, 2023  n =86059: 4421540972306530329354356847209
   Dec 20, 2023  n =86089: 1350585733253581613
   Dec 20, 2023  n =86107: 146769172059705119
   Dec 20, 2023  n =86115: 189424363720506914761
   Dec 20, 2023  n =86117: 24450460650450892157
   Dec 20, 2023  n =86131: 97633641121672399
   Dec 20, 2023  n =86135: 182340085122473951
   Dec 20, 2023  n =86139: 2991253508299621633267
   Dec 20, 2023  n =86147: 384727887232145364679
   Dec 20, 2023  n =86153: 107367251262944032757
   Dec 20, 2023  n =86155: 2191331972732928983471
   Dec 20, 2023  n =86165: 234488903705217978332231
   Dec 20, 2023  n =86169: 3297589613093688138769
   Dec 20, 2023  n =86185: 3763308972446878471
   Dec 20, 2023  n =86195: 16219892223096883241
   Dec 20, 2023  n =86199: 590830280529735004723
   Dec 20, 2023  n =86227: 13258604500360151
   Dec 20, 2023  n =86231: 507285038495597027
   Dec 20, 2023  n =86247: 9054217173992034056797
   Dec 20, 2023  n =86253: 1187505818229219241
   Dec 20, 2023  n =86285: 4587258038248431751
   Dec 20, 2023  n =86289: 10416210115559681959
   Dec 20, 2023  n =86295: 47413425370219222711
   Dec 20, 2023  n =86303: 181535303215366285151
   Dec 20, 2023  n =86315: 1162916266135643614121
   Dec 20, 2023  n =86325: 172042522615287001
   Dec 20, 2023  n =86343: 124892184654067
   Dec 20, 2023  n =86375: 23375289651796005751
   Dec 20, 2023  n =86383: 4647596429612159
   Dec 20, 2023  n =86397: 5728786701675522613
   Dec 20, 2023  n =86431: 26538521786213413
   Dec 20, 2023  n =86433: 163740043475175485443
   Dec 20, 2023  n =86449: 231210066482152769881
   Dec 20, 2023  n =86457: 55622873351688133
   Dec 20, 2023  n =86465: 233640559961800241
   Dec 20, 2023  n =86469: 101317896121856707
   Dec 20, 2023  n =86475: 58267305374978790001
   Dec 20, 2023  n =86477: 18353810898330538895090137009
   Dec 20, 2023  n =86487: 420803923639304819764723
   Dec 20, 2023  n =86493: 12103887572821705849
   Dec 20, 2023  n =86505: 249422228370063391
   Dec 20, 2023  n =86513: 247295867808603618187
   Dec 20, 2023  n =86525: 4817268828673482853594201
   Dec 20, 2023  n =86527: 31215381315929231
   Dec 20, 2023  n =86541: 182200466272378202923
   Dec 20, 2023  n =86559: 2041431607993578439
   Dec 20, 2023  n =86567: 16435080963410897214672471773
   Dec 20, 2023  n =86575: 183562088733647891695034351
   Dec 20, 2023  n =86583: 232936458164286131557
   Dec 20, 2023  n =86595: 2203950449780923853178942391
   Dec 20, 2023  n =86597: 17361190988249081
   Dec 20, 2023  n =86603: 98169724723437049
   Dec 20, 2023  n =86605: 95168863923738791
   Dec 20, 2023  n =86611: 1781967587073920947
   Dec 20, 2023  n =86617: 106929326599631
   Dec 20, 2023  n =86619: 9012265857305568081362893
   Dec 20, 2023  n =86623: 125153542435533997081
   Dec 20, 2023  n =86637: 144736502030089
   Dec 20, 2023  n =86649: 1531470091074997
   Dec 20, 2023  n =86653: 72959338813451614333517
   Dec 20, 2023  n =86669: 13308375982048941751
   Dec 20, 2023  n =86683: 195974795808605317093
   Dec 20, 2023  n =86687: 125635351177897163249
   Dec 20, 2023  n =86689: 169953555311266216783520239
   Dec 20, 2023  n =86691: 10807655421701887849
   Dec 20, 2023  n =86697: 6236817986961731262709747
   Dec 20, 2023  n =86699: 1344173781299256740402292911
   Dec 20, 2023  n =86709: 516877046864047895551
   Dec 20, 2023  n =86711: 552883191657835460802457111
   Dec 20, 2023  n =86715: 238310515915927498157853191311
   Dec 20, 2023  n =86723: 11941360995299191
   Dec 20, 2023  n =86725: 25757429267543894403001
   Dec 20, 2023  n =86727: 1429615650652541083
   Dec 20, 2023  n =86729: 7192827878409029829881
   Dec 20, 2023  n =86737: 1166211644179052479
   Dec 20, 2023  n =86745: 445670432786861074231
   Dec 20, 2023  n =86763: 11485301536223961871
   Dec 20, 2023  n =86773: 176912840509964999837
   Dec 20, 2023  n =86793: 8276903445085129
   Dec 20, 2023  n =86795: 11391215673425588821882441
   Dec 20, 2023  n =86799: 216031593685511055601
   Dec 20, 2023  n =86819: 772716325079153060871883
   Dec 20, 2023  n =86845: 42140157888831985511
   Dec 20, 2023  n =86847: 2397685651276009
   Dec 20, 2023  n =86849: 3329918641774774298201
   Dec 20, 2023  n =86855: 1533409900143431911
   Dec 20, 2023  n =86859: 186941224833839187834547
   Dec 20, 2023  n =86867: 761837163085846717
   Dec 20, 2023  n =86871: 282482466391164199
   Dec 20, 2023  n =86873: 20069473248628003
   Dec 20, 2023  n =86883: 2254833001167136544883409
   Dec 20, 2023  n =86887: 5612431570273603
   Dec 20, 2023  n =86901: 307276354484316460203013
   Dec 20, 2023  n =86921: 41952504985766397447386879
   Dec 20, 2023  n =86927: 452888882130921479072231
   Dec 20, 2023  n =86937: 20892393354908311
   Dec 20, 2023  n =86945: 60259619432786801
   Dec 20, 2023  n =86959: 325147991607694020209
   Dec 20, 2023  n =86977: 1375303813878391
   Dec 20, 2023  n =86989: 1979272861060373929


- Found by Alfred Reich
   Dec 15, 2023  n=100135: 3837462737953265401
   Dec 15, 2023  n=100173: 2969954606258713681
   Dec 15, 2023  n=100231: 2914352098217302241
   Dec 15, 2023  n=100375: 4607776309587001
   Dec 15, 2023  n=100381: 19584474697037077
   Dec 15, 2023  n=100461: 1543588566527893
   Dec 15, 2023  n=100533: 784155971193235573
   Dec 15, 2023  n=100625: 6187747093963751
   Dec 15, 2023  n=100723: 3056471727756902850809
   Dec 15, 2023  n=100789: 3418673430568813
   Dec 15, 2023  n=100841: 4362243266618329
   Dec 15, 2023  n=100867: 711526897239954563
   Dec 15, 2023  n=100897: 5888604761294197
   Dec 15, 2023  n=100951: 2554364607905813
   Dec 15, 2023  n=100955: 2734123743480191
   Dec 15, 2023  n=100997: 26555827334882705627
   Dec 15, 2023  n=101013: 129274221741124132399
   Dec 15, 2023  n=101029: 250532745483017969
   Dec 15, 2023  n=101093: 27700938064778930383483
   Dec 15, 2023  n=101125: 42666204444819001
   Dec 15, 2023  n=101227: 4090612959903653
   Dec 15, 2023  n=101245: 36188574289273287631
   Dec 15, 2023  n=101301: 321148260456397088922397
   Dec 15, 2023  n=101345: 4162330127811881
   Dec 15, 2023  n=101367: 41464815440580476533
   Dec 15, 2023  n=101491: 1594258423248401
   Dec 15, 2023  n=101565: 149868027410913543576511
   Dec 15, 2023  n=101589: 3143999213920929601
   Dec 15, 2023  n=101589: 7614368404345783519
   Dec 15, 2023  n=101601: 107321559496605501670875997
   Dec 15, 2023  n=101667: 3143777989348357
   Dec 15, 2023  n=101735: 20297398668389475551
   Dec 15, 2023  n=101825: 431825008439158751
   Dec 15, 2023  n=101867: 872157355506442751
   Dec 15, 2023  n=101885: 784674572749197742081
   Dec 15, 2023  n=102175: 293665357109039401
   Dec 15, 2023  n=102201: 814695681588870973
   Dec 15, 2023  n=102277: 3122977068292333547
   Dec 15, 2023  n=102289: 126748336203333307
   Dec 15, 2023  n=102465: 207107572459396099591
   Dec 15, 2023  n=102467: 7555451327561831
   Dec 15, 2023  n=102545: 370801842837453241
   Dec 15, 2023  n=102635: 61200245310873761
   Dec 15, 2023  n=102649: 81260329743351875293
   Dec 15, 2023  n=102651: 3492264482228879683
   Dec 15, 2023  n=102699: 182263241323164871
   Dec 15, 2023  n=102721: 179744652469762055464837
   Dec 15, 2023  n=102995: 183835357989580481
   Dec 15, 2023  n=103085: 932431536648643481
   Dec 15, 2023  n=103151: 4809941921451319
   Dec 15, 2023  n=103191: 16546105617914242129
   Dec 15, 2023  n=103345: 297885870585907561
   Dec 15, 2023  n=103351: 2146699373067199
   Dec 15, 2023  n=103355: 86198034626410591921
   Dec 15, 2023  n=103379: 498834504820599733
   Dec 15, 2023  n=103387: 1054001812218495236881
   Dec 15, 2023  n=103501: 29708713591543717
   Dec 15, 2023  n=103587: 115419307547119692733
   Dec 15, 2023  n=103731: 15441661173635077
   Dec 15, 2023  n=103805: 502694679147531001
   Dec 15, 2023  n=103897: 1421959882999511
   Dec 15, 2023  n=103911: 38661929840986726979587
   Dec 15, 2023  n=103941: 3971322750844219159
   Dec 15, 2023  n=104039: 1328134429968347
   Dec 15, 2023  n=104045: 457092448405210351
   Dec 15, 2023  n=104083: 8686106162973577157
   Dec 15, 2023  n=104179: 21279779120623334648147
   Dec 15, 2023  n=104403: 214812463280593047481
   Dec 15, 2023  n=104405: 180759156912895961
   Dec 15, 2023  n=104557: 5967681434215597951
   Dec 15, 2023  n=104585: 827602746591653761
   Dec 15, 2023  n=104825: 95568321451822801
   Dec 15, 2023  n=104863: 81923175399022583671
   Dec 15, 2023  n=104939: 33030670517942404991
   Dec 15, 2023  n=105025: 1832894758101088601
   Dec 15, 2023  n=105183: 248810634564639031
   Dec 15, 2023  n=105343: 10052122403340284569
   Dec 15, 2023  n=105493: 2133823579526959
   Dec 15, 2023  n=105535: 3212309889596111
   Dec 15, 2023  n=105551: 18630699774014234689
   Dec 15, 2023  n=105591: 4231208739438799
   Dec 15, 2023  n=105697: 1397106568159665373
   Dec 15, 2023  n=105709: 1279312203357107
   Dec 15, 2023  n=105857: 18376121591761450163
   Dec 15, 2023  n=105899: 47251222530599615917
   Dec 15, 2023  n=105913: 11607188817757815495119
   Dec 15, 2023  n=106025: 1699293051524681401
   Dec 15, 2023  n=106063: 32452825705922197
   Dec 15, 2023  n=106085: 62847272094664961
   Dec 15, 2023  n=106191: 157822803094190797
   Dec 15, 2023  n=106211: 3099924361660351
   Dec 15, 2023  n=106333: 1487230996431253
   Dec 15, 2023  n=106351: 488114500109675111
   Dec 15, 2023  n=106389: 1892357809243043203
   Dec 15, 2023  n=106481: 1683789986941862587
   Dec 15, 2023  n=106489: 3071056904705205037
   Dec 15, 2023  n=106587: 1523734470635599
   Dec 15, 2023  n=106675: 32019890393185001
   Dec 15, 2023  n=106741: 91231303979441359
   Dec 15, 2023  n=106777: 15443104098436169
   Dec 15, 2023  n=106885: 117266248077130038751
   Dec 15, 2023  n=106919: 47955034386944813
   Dec 15, 2023  n=106929: 830601200888179957
   Dec 15, 2023  n=107013: 2880076611770053
   Dec 15, 2023  n=107049: 1142136377959279
   Dec 15, 2023  n=107177: 33266524060889323
   Dec 15, 2023  n=107181: 1706060406505249
   Dec 15, 2023  n=107341: 160176806097297289
   Dec 15, 2023  n=107397: 5488065931492369
   Dec 15, 2023  n=107489: 48495106832112403
   Dec 15, 2023  n=107567: 36511360633631124083
   Dec 15, 2023  n=107751: 5009980645619083
   Dec 15, 2023  n=107777: 110439144397154542933
   Dec 15, 2023  n=107803: 1085853943084507
   Dec 15, 2023  n=107823: 5163493115786359
   Dec 15, 2023  n=107859: 21226233829029319
   Dec 15, 2023  n=107963: 472353529203679718401
   Dec 15, 2023  n=107975: 2568555393447751
   Dec 15, 2023  n=108017: 7306008478860001
   Dec 15, 2023  n=108039: 328549190415243037
   Dec 15, 2023  n=108047: 822493223707650311
   Dec 15, 2023  n=108133: 12387032989905877
   Dec 15, 2023  n=108177: 171099894013390366477
   Dec 15, 2023  n=108303: 140821880761709083
   Dec 15, 2023  n=108437: 5613735491012573
   Dec 15, 2023  n=108453: 16620626507489927551
   Dec 15, 2023  n=108467: 3806681380770523
   Dec 15, 2023  n=108523: 312745257752929889
   Dec 15, 2023  n=108527: 1814075573993069477
   Dec 15, 2023  n=108577: 1025437956573694427
   Dec 15, 2023  n=108579: 1892548991278357
   Dec 15, 2023  n=108801: 28294660608248803231
   Dec 15, 2023  n=108891: 61861143034857043
   Dec 15, 2023  n=108937: 314951847893125362543271
   Dec 15, 2023  n=108965: 1222688699234680511
   Dec 15, 2023  n=108981: 173078160296374287503893
   Dec 15, 2023  n=108983: 5769932437797431
   Dec 15, 2023  n=108983: 15298274105696359
   Dec 15, 2023  n=109219: 1500767402131867453
   Dec 15, 2023  n=109245: 404857376204925961
   Dec 15, 2023  n=109281: 1007210230511227
   Dec 15, 2023  n=109317: 815072972953274965755853
   Dec 15, 2023  n=109361: 21363620525646068867
   Dec 15, 2023  n=109419: 11808968710122043
   Dec 15, 2023  n=109505: 1698128483203793521
   Dec 15, 2023  n=109529: 10295720312597147
   Dec 15, 2023  n=109615: 150272834900921921
   Dec 15, 2023  n=109627: 2586140491753253
   Dec 15, 2023  n=109649: 471992327325974353387
   Dec 15, 2023  n=109669: 3128160982523249
   Dec 15, 2023  n=109825: 1066778190409801
   Dec 15, 2023  n=109887: 21934471123273243
   Dec 15, 2023  n=110259: 1811836946567467
   Dec 15, 2023  n=110289: 4041490592752573
   Dec 15, 2023  n=110405: 72872965020101921
   Dec 15, 2023  n=110525: 30599902441931401
   Dec 15, 2023  n=110549: 10359600801809323
   Dec 15, 2023  n=110549: 1464794141204058293
   Dec 15, 2023  n=110559: 15791777855837569
   Dec 15, 2023  n=110593: 1315182280298923
   Dec 15, 2023  n=110733: 20564201445896599
   Dec 15, 2023  n=110739: 53618918350318231
   Dec 15, 2023  n=110757: 61702090848726378079
   Dec 15, 2023  n=110763: 94121726153898529
   Dec 15, 2023  n=110797: 1180023707856124441
   Dec 15, 2023  n=110915: 1976092414032241
   Dec 15, 2023  n=110925: 2104133922586351
   Dec 15, 2023  n=110959: 4400759212849398494947
   Dec 15, 2023  n=110965: 2147054012123681
   Dec 15, 2023  n=110981: 863466738106791677
   Dec 15, 2023  n=110999: 172004495876274228077
   Dec 15, 2023  n=111019: 3165798633813492307
   Dec 15, 2023  n=111171: 730461908429774893
   Dec 15, 2023  n=111197: 56063990159297441
   Dec 15, 2023  n=111421: 19873787465690675761
   Dec 15, 2023  n=111525: 16382075180553151
   Dec 15, 2023  n=111545: 74962693130499511
   Dec 15, 2023  n=111683: 8770432091919499947089
   Dec 15, 2023  n=112079: 4094728195251761
   Dec 15, 2023  n=112143: 1243331950087483
   Dec 15, 2023  n=112235: 60453500620453631
   Dec 15, 2023  n=112373: 14767663648782907
   Dec 15, 2023  n=112377: 23189783849693722837
   Dec 15, 2023  n=112411: 40357361682456391
   Dec 15, 2023  n=112455: 14164153316926831
   Dec 15, 2023  n=112533: 48645513597081391
   Dec 15, 2023  n=112829: 25509858732142434707
   Dec 15, 2023  n=112857: 530854488744679279
   Dec 15, 2023  n=112863: 109287729669619213
   Dec 15, 2023  n=112897: 5208119049888191
   Dec 15, 2023  n=113055: 3897684646917151
   Dec 15, 2023  n=113057: 18272816353970327129
   Dec 15, 2023  n=113323: 290927000667873641
   Dec 15, 2023  n=113519: 4153695722375809
   Dec 15, 2023  n=113533: 1640256169423187
   Dec 15, 2023  n=113633: 39178941015154279
   Dec 15, 2023  n=113681: 73461005958611729
   Dec 15, 2023  n=113767: 79609807322522003
   Dec 15, 2023  n=113939: 1421871353169947
   Dec 15, 2023  n=113961: 5940695149229431
   Dec 15, 2023  n=113973: 153086658970467781723
   Dec 15, 2023  n=114085: 1123215780014351
   Dec 15, 2023  n=114099: 2568163970965471
   Dec 15, 2023  n=114249: 1079278665166921
   Dec 15, 2023  n=114275: 8886527645578801
   Dec 15, 2023  n=114293: 3745859640714801161
   Dec 15, 2023  n=114297: 20980452161136067
   Dec 15, 2023  n=114425: 16107717154754801
   Dec 15, 2023  n=114439: 95707240444230533
   Dec 15, 2023  n=114511: 364870659059502227
   Dec 15, 2023  n=114539: 5956528984881037
   Dec 15, 2023  n=114625: 3174716337430751
   Dec 15, 2023  n=114807: 368109918140380125403
   Dec 15, 2023  n=114813: 1166977694731969
   Dec 15, 2023  n=114867: 527812794542940300001
   Dec 15, 2023  n=115007: 653699808940014533 
   Dec 15, 2023  n =20100: 9662726996752755499068773593201
   Dec 15, 2023  n =23132: 590929466313489821402869
   Dec 15, 2023  n =60380: 5489303444931911663517401
   Dec 15, 2023  n =61260: 20803848204472329730901341
   Dec 15, 2023  n =61460: 113034432345960488485781
   Dec 15, 2023  n =62340: 752673643167614497799785541394241
   Dec 15, 2023  n =62660: 58828730801039608072318544761
   Dec 15, 2023  n =63020: 3051795672158010000082331741
   Dec 15, 2023  n =63540: 4100353212798453277070657101
   Dec 15, 2023  n =63620: 356898400373658530175204427175462741
   Dec 15, 2023  n =63700: 1499570870116484267020464001
   Dec 15, 2023  n =67660: 33555270039905405328461
   Dec 15, 2023  n =70300: 72263010384456334711970501
   Dec 15, 2023  n =70940: 10809515298855507478951981921671862661
   Dec 15, 2023  n =83420: 1461027981707744016319382101
   Dec 15, 2023  n =90700: 85415032842444600391991101
   Dec 15, 2023  n =92660: 1296044802473948687999681


- Found by Alfred Reich
   Dec 12, 2023  n =60337: 5568672008838260813;                                     ecm     
   Dec 12, 2023  n =60419: 2639148885143589521;                                     ecm     
   Dec 12, 2023  n =60437: 3286388182528049;                                        ecm     
   Dec 12, 2023  n =60511: 124616446994291701483;                                   ecm     
   Dec 12, 2023  n =60515: 139118657789148311;                                      ecm     
   Dec 12, 2023  n =60561: 1131847019916979352401;                                  ecm     
   Dec 12, 2023  n =60667: 7025355422879412427;                                     ecm     
   Dec 12, 2023  n =60699: 278133968442962197;                                      ecm     
   Dec 12, 2023  n =75625: 542516370778170978751;                                   ecm     
   Dec 12, 2023  n =75777: 61490101914688201;                                       ecm     
   Dec 12, 2023  n =75827: 22795183518565425900347;                                 ecm     
   Dec 12, 2023  n =75911: 93538524605199587;                                       ecm     
   Dec 12, 2023  n=100025: 152501370425473874211345401;                             ecm     


- Found by Kurt Beschorner 
   Dec 09, 2023  n = 5158: 12526504286553414480387071457504877;                     ecm: B1 = 3e6; sigma = 0:2553564566552160   
   Dec 09, 2023  n = 5941: 100907536708134675930973500425627843;                    ecm: B1 = 1e6; sigma = 0:5413159547376008   
   Dec 09, 2023  n = 6275: 8352737420744820793174812768694070571151 * 4324856989......P4936; ecm: B1 = 1e6; sigma = 0:598971611001117
   Dec 09, 2023  n = 9914: 21119725592364935371554207390169;                        ecm: B1 = 1e6; sigma = 0:8488974959025917   
   Dec 09, 2023  n =12981: 227455692714607938429312523;                             P-1: B1 = 50e6  
   Dec 09, 2023  n=147377: 6505129998515294448791;                                  ecm: B1 = 5e4; sigma = 0:670963036774753   


- Found by Alfred Reich
   Dec 07, 2023  n =11212: 83791510283897781068562569;                              ecm: B1 =25e4; sigma = 4305484695987158   
   Dec 07, 2023  n =11298: 405327039373714068134452699;                             ecm: B1 =25e4; sigma = 4462813532609925   
   Dec 07, 2023  n=11300L: 2182180350286462924030858025501;                         ecm: B1 = 1e6; sigma = 7144502905419721   
   Dec 07, 2023  n=11300L: 51476539527811997194031844173935851401;                  ecm: B1 = 1e6; sigma = 5918365906898771   
   Dec 07, 2023  n =11310: 17689651111602228006889768921;                           ecm: B1 =25e4; sigma = 8158972006967651   
   Dec 07, 2023  n =11358: 1117402462196473692911852287;                            ecm 
   Dec 07, 2023  n =11358: 428311146848369988856041100891;                          ecm: B1 =25e4; sigma = 5086655985489555   
   Dec 07, 2023  n =11366: 52303090474636039617938659612733;                        ecm: B1 =25e4; sigma = 5827917219724994   
   Dec 07, 2023  n =11658: 72329534173671071455834840507927;                        ecm: B1 =25e4; sigma = 5631683109611796   
   Dec 07, 2023  n=11660L: 40492576319292955850829024592793701609134641;            ecm: B1 = 1e6; sigma = 6343068577069312   
   Dec 07, 2023  n =11666: 186838644187268048751647381663;                          ecm: B1 =25e4; sigma = 571545193689189   
   Dec 07, 2023  n =11716: 192323520543231793960953379469;                          ecm: B1 =25e4; sigma = 2802833690821320   
   Dec 07, 2023  n =11762: 59087229310237473190324133;                              ecm: B1 =25e4; sigma = 4593314167755052   
   Dec 07, 2023  n=11820M: 306089199113717892024275119681;                          ecm: B1 = 1e6; sigma = 8309856703213704   
   Dec 07, 2023  n =11822: 55825391503338973544921658331;                           ecm: B1 =25e4; sigma = 8199557882983776   
   Dec 07, 2023  n =11996: 6354860762748834663192340609;                            ecm: B1 =25e4; sigma = 205576270073522   
   Dec 07, 2023  n =12026: 6893048385881275758815788126453931;                      ecm: B1 =25e4; sigma = 7294461903791317   
   Dec 07, 2023  n =12118: 171813130989462977163422287571;                          ecm: B1 =25e4; sigma = 1807550361382550   
   Dec 07, 2023  n =12472: 4460931746141906126885900765588297;                      ecm: B1 =25e4; sigma = 1694915245350751   


- 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
 

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

 


ECM efforts
with Rn:           1 < n < 2000 (Feb 26, 2024) with Rn:     1999 < n < 3000 (Feb 29, 2024)
with Rn:     2999 < n < 4000 (Feb 10, 2024) with Rn:     3999 < n < 5000 (Dec 23, 2023)
with Rn:     4999 < n < 6000 (Feb 29, 2024) with Rn:     5999 < n < 7000 (Feb 29, 2024)
with Rn:     6999 < n < 8000 (Feb 23, 2024) with Rn:     7999 < n < 9000 (Feb 14, 2024)
with Rn:     8999 < n <10000 (Feb 26, 2024) with Rn:     9999 < n <11000 (Feb 29, 2024)
with Rn:   10999 < n <12000 (Feb 29, 2024) with Rn:   11999 < n <14980L/M (Feb 23, 2024)



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
....
in progress
....
in progress



Factorizations
Repunits: R1        - R2500 (Feb 26, 2024) Repunits:  R2501 - R5000 (Dec 20, 2023)
Repunits: R5001   - R7500 (Jan 30, 2024) Repunits: R7501 - R10000 (Dec 24, 2023)
Repunits: R10001 - R12500 (Feb 29, 2024) 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)




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