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

Related links:



ECM EFFORTS
with Rn:      323 < n < 2000 (May 03, 2019) with Rn:     1999 < n < 3000 (Apr 18, 2019)
with Rn:     2999 < n < 4000 (Apr 19, 2019) with Rn:     3999 < n < 5000 (Mar 23, 2019)
with Rn:     4999 < n < 6000 (Apr 04, 2019) with Rn:     5999 < n < 7000 (May 19, 2019)
with Rn:     6999 < n < 8000 (Apr 26, 2019) with Rn:     7999 < n < 9000 (May 14, 2019)
with Rn:     8999 < n <10000 (Apr 29, 2019) with Rn:     9999 < n <11000 (Apr 29, 2019)
with Rn:   10999 < n <12000 (Mar 29, 2019) with Rn:   11999 < n <12501 (Mar 16, 2019)




Efforts by   yoyo@home:    ecm-curves
B1 = 43e6/8600 curves/
numbers < 1001 digits
977
working
983
working
985
working
989
working
997
working
B1 = 11e7/18400 curves/
numbers < 701 digits
551
working
563
working
647
working
879
working
895
working
B1 = 26e7/46000 curves/
numbers < 450 digits
521
working
1136
working
1142
working
1160
working
2380M
working
B1 = 85e7/75000 curves/
numbers < 250 digits
471
working
585
working
609
working
2420L
working
2460L
working



News
-  Last update: May 21, 2019          

-  Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt Beschorner 
   May 21, 2019   R507, c200, GNFS: the R507-polynom was created by Makzym Voznyy in cooperation with mersenneforum - thanks!
 
Mon Apr 08 11:24:19 2019  Msieve v. 1.54 (SVN 1018)
Mon Apr 08 11:24:19 2019  random seeds: bb69166c 01836ba6
Mon Apr 08 11:24:19 2019  factoring 46802612901958501868841642965751124516436202272587430374287737787818526612306217484595957815607978887434356766596560265669642422106894901815250576734687838908431237216708427946009827065503443998015551 (200 digits)
Mon Apr 08 11:24:20 2019  searching for 15-digit factors
Mon Apr 08 11:24:21 2019  commencing number field sieve (200-digit input)
Mon Apr 08 11:24:21 2019  R0: -489207429141011531399145000684883987953
Mon Apr 08 11:24:21 2019  R1: 4672294682135028058
Mon Apr 08 11:24:21 2019  A0: -1141622752347875247016534173692198727370239170296
Mon Apr 08 11:24:21 2019  A1: 606229025806036192373697162986942868196
Mon Apr 08 11:24:21 2019  A2: 142633534281473766366139546615926
Mon Apr 08 11:24:21 2019  A3: -540694411833242620565099
Mon Apr 08 11:24:21 2019  A4: -2965749858137203
Mon Apr 08 11:24:21 2019  A5: 3340680
Mon Apr 08 11:24:21 2019  skew 269920746.28, size 1.143e-019, alpha -7.036, combined = 4.526e-015 rroots = 3
Mon Apr 08 11:24:21 2019  
Mon Apr 08 11:24:21 2019  commencing relation filtering
Mon Apr 08 11:24:21 2019  setting target matrix density to 130.0
Mon Apr 08 11:24:21 2019  estimated available RAM is 65214.1 MB
Mon Apr 08 11:24:21 2019  commencing duplicate removal, pass 1
Mon Apr 08 11:24:25 2019  error -11 reading relation 315779
...
Mon Apr 08 13:44:47 2019  skipped 694 relations with composite factors
Mon Apr 08 13:44:47 2019  found 102753432 hash collisions in 737059794 relations
Mon Apr 08 13:45:19 2019  added 122087 free relations
Mon Apr 08 13:45:19 2019  commencing duplicate removal, pass 2
Mon Apr 08 13:56:59 2019  found 1705507 duplicates and 735476373 unique relations
Mon Apr 08 13:56:59 2019  memory use: 4262.0 MB
Mon Apr 08 13:56:59 2019  reading ideals above 397213696
Mon Apr 08 13:56:59 2019  commencing singleton removal, initial pass
Mon Apr 08 16:04:16 2019  memory use: 11024.0 MB
Mon Apr 08 16:04:17 2019  reading all ideals from disk
Mon Apr 08 16:04:29 2019  memory use: 14237.6 MB
Mon Apr 08 16:05:42 2019  commencing in-memory singleton removal
Mon Apr 08 16:06:56 2019  begin with 735476373 relations and 625710519 unique ideals
Mon Apr 08 16:24:44 2019  reduce to 500729904 relations and 369204619 ideals in 14 passes
Mon Apr 08 16:24:44 2019  max relations containing the same ideal: 37
Mon Apr 08 16:25:54 2019  reading ideals above 720000
Mon Apr 08 16:25:56 2019  commencing singleton removal, initial pass
Mon Apr 08 18:26:41 2019  memory use: 11024.0 MB
Mon Apr 08 18:26:43 2019  reading all ideals from disk
Mon Apr 08 18:27:00 2019  memory use: 22382.4 MB
Mon Apr 08 18:28:57 2019  keeping 408966402 ideals with weight <= 200, target excess is 2627942
Mon Apr 08 18:31:16 2019  commencing in-memory singleton removal
Mon Apr 08 18:32:40 2019  begin with 500729904 relations and 408966402 unique ideals
Mon Apr 08 18:44:42 2019  reduce to 500729634 relations and 408966132 ideals in 6 passes
Mon Apr 08 18:44:42 2019  max relations containing the same ideal: 200
...
Tue Apr 09 03:59:01 2019  commencing in-memory singleton removal
Tue Apr 09 03:59:24 2019  begin with 164172017 relations and 162197033 unique ideals
Tue Apr 09 04:03:39 2019  reduce to 163876228 relations and 156062970 ideals in 8 passes
Tue Apr 09 04:03:39 2019  max relations containing the same ideal: 103
Tue Apr 09 04:06:03 2019  removing 7948492 relations and 5948492 ideals in 2000000 cliques
Tue Apr 09 04:06:08 2019  commencing in-memory singleton removal
Tue Apr 09 04:06:32 2019  begin with 155927736 relations and 156062970 unique ideals
Tue Apr 09 04:09:56 2019  reduce to 155606377 relations and 149789682 ideals in 7 passes
Tue Apr 09 04:09:56 2019  max relations containing the same ideal: 101
Tue Apr 09 04:12:10 2019  removing 8080096 relations and 6080096 ideals in 2000000 cliques
Tue Apr 09 04:12:14 2019  commencing in-memory singleton removal
Tue Apr 09 04:12:35 2019  begin with 147526281 relations and 149789682 unique ideals
Tue Apr 09 04:15:47 2019  reduce to 147174590 relations and 143354058 ideals in 7 passes
Tue Apr 09 04:15:47 2019  max relations containing the same ideal: 96
Tue Apr 09 04:17:56 2019  removing 3778777 relations and 3006658 ideals in 772119 cliques
Tue Apr 09 04:17:59 2019  commencing in-memory singleton removal
Tue Apr 09 04:18:20 2019  begin with 143395813 relations and 143354058 unique ideals
Tue Apr 09 04:21:29 2019  reduce to 143322535 relations and 140273797 ideals in 7 passes
Tue Apr 09 04:21:29 2019  max relations containing the same ideal: 92
Tue Apr 09 04:23:52 2019  relations with 0 large ideals: 9157
Tue Apr 09 04:23:52 2019  relations with 1 large ideals: 33885
Tue Apr 09 04:23:52 2019  relations with 2 large ideals: 510184
Tue Apr 09 04:23:52 2019  relations with 3 large ideals: 3411206
Tue Apr 09 04:23:52 2019  relations with 4 large ideals: 12427246
Tue Apr 09 04:23:52 2019  relations with 5 large ideals: 27337712
Tue Apr 09 04:23:52 2019  relations with 6 large ideals: 38038785
Tue Apr 09 04:23:52 2019  relations with 7+ large ideals: 61554360
Tue Apr 09 04:23:52 2019  commencing 2-way merge
Tue Apr 09 04:26:52 2019  reduce to 91470781 relation sets and 88422043 unique ideals
Tue Apr 09 04:26:52 2019  commencing full merge
Tue Apr 09 05:26:09 2019  memory use: 10780.5 MB
Tue Apr 09 05:26:49 2019  found 40346125 cycles, need 40096243
Tue Apr 09 05:26:53 2019  weight of 40096243 cycles is about 5212597030 (130.00/cycle)
Tue Apr 09 05:26:53 2019  distribution of cycle lengths:
Tue Apr 09 05:26:53 2019  1 relations: 2652209
Tue Apr 09 05:26:53 2019  2 relations: 2652085
Tue Apr 09 05:26:53 2019  3 relations: 2796164
Tue Apr 09 05:26:53 2019  4 relations: 2795460
Tue Apr 09 05:26:53 2019  5 relations: 2873591
Tue Apr 09 05:26:53 2019  6 relations: 2814278
Tue Apr 09 05:26:53 2019  7 relations: 2784386
Tue Apr 09 05:26:53 2019  8 relations: 2669022
Tue Apr 09 05:26:53 2019  9 relations: 2545565
Tue Apr 09 05:26:53 2019  10+ relations: 15513483
Tue Apr 09 05:26:53 2019  heaviest cycle: 28 relations
Tue Apr 09 05:32:11 2019  commencing cycle optimization
Tue Apr 09 05:34:57 2019  start with 342228394 relations
Tue Apr 09 06:03:19 2019  pruned 15070620 relations
Tue Apr 09 06:03:20 2019  memory use: 9390.8 MB
Tue Apr 09 06:03:20 2019  distribution of cycle lengths:
Tue Apr 09 06:03:20 2019  1 relations: 2652209
Tue Apr 09 06:03:20 2019  2 relations: 2726015
Tue Apr 09 06:03:20 2019  3 relations: 2915351
Tue Apr 09 06:03:20 2019  4 relations: 2912209
Tue Apr 09 06:03:20 2019  5 relations: 3010115
Tue Apr 09 06:03:20 2019  6 relations: 2946111
Tue Apr 09 06:03:20 2019  7 relations: 2922272
Tue Apr 09 06:03:20 2019  8 relations: 2791923
Tue Apr 09 06:03:20 2019  9 relations: 2657348
Tue Apr 09 06:03:20 2019  10+ relations: 14562690
Tue Apr 09 06:03:20 2019  heaviest cycle: 28 relations
Tue Apr 09 06:09:59 2019  RelProcTime: 67538
Tue Apr 09 06:09:59 2019  
Tue Apr 09 06:09:59 2019  commencing linear algebra
Tue Apr 09 06:10:21 2019  read 40096243 cycles
Tue Apr 09 06:13:14 2019  cycles contain 141782561 unique relations
Tue Apr 09 06:36:19 2019  read 141782561 relations
Tue Apr 09 06:44:55 2019  using 20 quadratic characters above 4294917295
Tue Apr 09 06:56:17 2019  building initial matrix
Tue Apr 09 08:02:16 2019  memory use: 19885.5 MB
Tue Apr 09 08:05:03 2019  read 40096243 cycles
Tue Apr 09 08:05:16 2019  matrix is 40096066 x 40096243 (20411.1 MB) with weight 6104577401 (152.25/col)
Tue Apr 09 08:05:16 2019  sparse part has weight 4869503282 (121.45/col)
Tue Apr 09 08:19:56 2019  filtering completed in 2 passes
Tue Apr 09 08:20:08 2019  matrix is 40094791 x 40094968 (20411.0 MB) with weight 6104521520 (152.25/col)
Tue Apr 09 08:20:08 2019  sparse part has weight 4869487203 (121.45/col)
Tue Apr 09 08:28:01 2019  matrix starts at (0, 0)
Tue Apr 09 08:28:13 2019  matrix is 40094791 x 40094968 (20411.0 MB) with weight 6104521520 (152.25/col)
Tue Apr 09 08:28:13 2019  sparse part has weight 4869487203 (121.45/col)
Tue Apr 09 08:28:13 2019  saving the first 48 matrix rows for later
Tue Apr 09 08:28:37 2019  matrix includes 64 packed rows
Tue Apr 09 08:28:45 2019  matrix is 40094743 x 40094968 (19827.4 MB) with weight 5262949387 (131.26/col)
Tue Apr 09 08:28:45 2019  sparse part has weight 4796678379 (119.63/col)
Tue Apr 09 08:28:46 2019  using block size 8192 and superblock size 1081344 for processor cache size 11264 kB
Tue Apr 09 08:36:35 2019  commencing Lanczos iteration (16 threads)
Tue Apr 09 08:36:35 2019  memory use: 17186.8 MB
Tue Apr 09 08:39:15 2019  linear algebra at 0.0%, ETA 1101h13m
                          LA completed 37.450M dim. of 40.095M dim; estimated time of arrival: 67 h 
                  

-  Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt Beschorner 
   May 21, 2019   R459, c221; SNFS-difficult = 306 
                  26M unique relations and 96M unique ideals are collected
                  currently progress ~  3.5%:   

                  
-  Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt Beschorner 
   May 21, 2019   R1980M, c187; GNFS; the R1980M-polynom was created by Makzym Voznyy in cooperation with mersenneforum - thanks!
                  226M unique relations and 275M unique ideals are collected
                  currently progress ~ 65.0%:                      

                                       
-  Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt Beschorner 
   Mar 31, 2019   R1620L, c185;  GNFS;  
                  status: creating polynom (Makzym Voznyy in cooperation with mersenne-forum)


-  Found by Kurt Beschorner 
   Jan 27, 2019   n =6380L: 2745820043425052285732308383257413452721;              B1= 11e6; sigma = 1168867487
   Apr 27, 2019   n=255255: 62731945294208191 * 1436126356......c92144;            ecm  
   May 14, 2019   n =8220L: 6097790664173896352923803646734195061;                 B1= 11e6; sigma = 2907575830  
   May 19, 2019   n =6140L: 13250162724903585950689727396593851617218121;          B1= 11e6; sigma = 1403731729 
       

-  Found by Alfred Eichhorn 

   Mar 03, 2019   n =86533: 619107692324459729999 * 1794697634......c86512;         B1=11e3; sigma = 9418280585179860364 

   Mar 26, 2019   n =87421: 341366699190525765431 * 3254890162......c87400;         B1=11e3; sigma = 0:12676991612406442040    

   Apr 08, 2019   n =87911: 1542310541514371921 * 7204198384......c87892;           B1=11e3; sigma 0:16558152632722601350
              

-  Found by NFS@home 
   Mar 12, 2019   n =  622: 972257004001983078662961403513565995843134142539444914120798476327;  SNFS 
   Mar 12, 2019   n =  622: 6233584499738299340076596109269276052417987101388073691610569618213; SNFS
   

-  Found by Alfred Reich 
   Mar 13, 2019   n =10242: 3097799581276911397470607;                             ecm                                   
   Mar 13, 2019   n =10596: 3508961388697255346792921041;                          ecm                                   
   Mar 13, 2019   n =10762: 128168614542349138637788110571;                        ecm                                   
   Mar 13, 2019   n =10798: 32495134814615985154078931059;                         ecm    
   Mar 13, 2019   n =10928: 21610736539944397217183014033;                         ecm                                   
   Mar 13, 2019   n =11036: 304536125589430734031161881;                           ecm                                   
   Mar 13, 2019   n =11282: 1110942020167095525857115491;                          ecm                                   
   Mar 13, 2019   n =11306: 209468756726651763986369;                              ecm                                   
   Mar 13, 2019   n =11452: 40582155112763469608420221;                            ecm                                   
   Mar 13, 2019   n =11528: 1683315922648167594657113;                             ecm                                   
   Mar 13, 2019   n =11786: 5253482089584309033718779053;                          ecm                                   
   Mar 13, 2019   n =12232: 236455297365611721449009;                              ecm                                   
   Mar 13, 2019   n =12404: 11480901432082491474467669;                            ecm                                   
   Mar 13, 2019   n =12464: 6381241850240012897685030206417;                       ecm                                   
   Mar 19, 2019   n = 3517: 15049205975362719271403629095613;                      ecm         
   Mar 19, 2019   n = 3811: 4230400397995823751761752498673425951;                 ecm  
   Mar 19, 2019   n = 5011: 18290731943060415761926980563;                         ecm  
   Mar 19, 2019   n = 5129: 8328660592676646532160852018483;                       ecm  
   Mar 19, 2019   n = 5137: 132303510013924335352184612000627;                     ecm  
   Mar 19, 2019   n = 5377: 5510058690107201954998133;                             ecm  
   Mar 19, 2019   n = 5489: 1179809540762792176191331213;                          ecm  
   Mar 19, 2019   n = 5489: 8252515256135679514753234963;                          ecm  
   Mar 19, 2019   n = 5581: 535904708382078512196295997;                           ecm  
   Mar 19, 2019   n = 5951: 8784231992259565760978130391;                          ecm  
   Mar 19, 2019   n = 6841: 845430576852142136446391;                              ecm  
   Mar 19, 2019   n = 6853: 647744953460308690797834871;                           ecm  
   Mar 19, 2019   n = 7003: 102607514347472076971830803119;                        ecm 
   Mar 19, 2019   n = 7027: 41104731444008156751481;                               ecm 
   Mar 19, 2019   n = 7051: 29604903114429721493322120973;                         ecm  
   Mar 19, 2019   n = 7067: 369493238395369768260169307;                           ecm  
   Mar 19, 2019   n = 8083: 15970724420175578183624380507;                         ecm  
   Mar 19, 2019   n = 8143: 1193940252389791933793077;                             ecm  
   Mar 19, 2019   n = 8148: 23888331928755038568489169001705089;                   ecm  
   Mar 19, 2019   n = 8202: 2501784060079742341761786602162653;                    ecm  
   Mar 19, 2019   n = 8219: 1235297545075689379150983191;                          ecm  
   Mar 19, 2019   n = 8256: 28824972281059367505346468479361;                      ecm  
   Mar 19, 2019   n = 8270: 851918694465828792193616615921;                        ecm  
   Mar 19, 2019   n = 8298: 363512492441311226935404528811;                        ecm  
   Mar 19, 2019   n = 8360: 1998040637750997434972713736401;                       ecm  
   Mar 19, 2019   n = 8369: 126917530334778836981430307;                           ecm  
   Mar 19, 2019   n = 8468: 108584449518610510682983051741;                        ecm  
   Mar 19, 2019   n = 8482: 307688492787248629838887026976339;                     ecm  
   Mar 19, 2019   n = 8737: 2172670597272979787190834089;                          ecm  
   Mar 19, 2019   n = 8741: 31596349424056100463726809;                            ecm  
   Mar 19, 2019   n = 8809: 22948722432507184413283639;                            ecm  
   Mar 19, 2019   n = 9049: 40070240278639928381632251797;                         ecm  
   Mar 19, 2019   n = 9056: 2775983024448536727830198592061963297;                 ecm  
   Mar 19, 2019   n = 9110: 25586968497740825335357350721;                         ecm  
   Mar 19, 2019   n = 9151: 1754434098708629492265959;                             ecm  
   Mar 19, 2019   n = 9176: 9294219373611032701407977803759921;                    ecm  
   Mar 19, 2019   n = 9296: 700345442907576498751955664967841;                     ecm  
   Mar 19, 2019   n = 9326: 21278661702033571812765695014342943;                   ecm  
   Mar 19, 2019   n = 9378: 47564198514094606996894728891825961;                   ecm  
   Mar 19, 2019   n = 9403: 32747793424417916919488900197;                         ecm  
   Mar 19, 2019   n = 9464: 23952841847905762726046416665817;                      ecm  
   Mar 19, 2019   n = 9475: 280772637026381430522806842601;                        ecm  
   Mar 19, 2019   n = 9574: 57072802697092714398248212530893161;                   ecm  
   Mar 19, 2019   n = 9614: 6838142123374733667486245104609;                       ecm  
   Mar 19, 2019   n = 9682: 10273463340699048210919161371;                         ecm  
   Mar 19, 2019   n = 9706: 9320198109653196649407426757249;                       ecm  
   Mar 19, 2019   n = 9742: 116476155362484924487571735996459;                     ecm  
   Mar 19, 2019   n = 9772: 33656479000542395699931698558373291481489;             ecm  
   Mar 19, 2019   n = 9782: 42817487886880421808259990142918329;                   ecm  
   Mar 19, 2019   n = 9833: 6491414647848756214895883307;                          ecm  
   Mar 19, 2019   n = 9834: 971673025120229759530902007;                           ecm  
   Mar 19, 2019   n = 9863: 2033380269061367824299039479;                          ecm      

   Mar 22, 2019   n = 3123: 49295447401007236002837366533239;                      ecm
   Mar 22, 2019   n = 4219: 110153832613175722811774484608311382561;               ecm
   Mar 22, 2019   n = 4553: 17970589982080991669871723865408721;                   ecm
   Mar 22, 2019   n = 9079: 18339645803059176086746837;                            ecm
   Mar 22, 2019   n = 9473: 12243898716526990349504867;                            ecm

   Mar 26, 2019   n = 3095: 90443865354658473015839587544568391;                   ecm
   Mar 26, 2019   n = 6839: 950411915760859058836519;                              ecm   

   Mar 28, 2019   n = 5413: 32341764872780246583261156171538391;                   ecm   
   Mar 28, 2019   n = 6193: 13052132995235650778295884989049;                      ecm   
   Mar 28, 2019   n = 6227: 549047844434571846836416517;                           ecm   
   Mar 28, 2019   n = 7657: 5772210349339692516182995033289;                       ecm   
   Mar 28, 2019   n = 7661: 19739456957451149187004385588671;                      ecm   
   Mar 28, 2019   n = 8801: 200144355431615950183711416245947;                     ecm   

   Mar 29, 2019   n = 6709: 17805125979666154338862157;                            ecm   
   Mar 29, 2019   n = 6911: 54949578803732398820689;                               ecm   
   Mar 29, 2019   n = 7177: 895570802481559921813387441;                           ecm   
   Mar 29, 2019   n = 8293: 624419032799301916642149478031719;                     ecm   
   Mar 29, 2019   n = 8747: 393978027623250042678516678001;                        ecm   
   Mar 29, 2019   n = 8941: 17905208966743196747286331601;                         ecm   
   Mar 29, 2019   n = 9439: 49563115972148726384149503199;                         ecm   

   Mar 31, 2019   n = 6112: 2449503925297939657091587969;                          ecm   
   Mar 31, 2019   n = 7694: 999253054425591112476411247563788023877;               ecm   
   Mar 31, 2019   n = 7726: 95643983406094929576432376747441;                      ecm   
   Mar 31, 2019   n = 7976: 42528281816393263905817159435577;                      ecm   
   Mar 31, 2019   n = 9644: 3554649437107494126112669330741;                       ecm   

   Apr 02, 2019   n = 2248: 1125096610491026258717069231764777;                    ecm   

   Apr 04, 2019   n = 2608: 2711533575490636312104255710201930401;                 ecm   
   Apr 04, 2019   n = 5974: 92600133051876992409909760669939;                      ecm   
   Apr 04, 2019   n = 6122: 374379568108875916757732764761053303;                  ecm   

   Apr 06, 2019   n = 6138: 4649700678223371354013752098032052413;                 ecm   
   Apr 06, 2019   n = 6168: 789623604692467568415491118469360633;                  ecm   
   Apr 06, 2019   n = 6188: 5781822105649878089905469839201;                       ecm   
   Apr 06, 2019   n = 6226: 3197838295350890098487501692066693;                    ecm   
   Apr 06, 2019   n = 6248: 302265719497171388215121034171443993;                  ecm   

   Apr 08, 2019   n = 3453: 60061366931002116328324273314045799654573339003;       ecm   
   Apr 08, 2019   n = 3461: 363333404197572531406681671438464547641;               ecm   

   Apr 10, 2019   n = 3187: 194596748545683302871494620187683;                     ecm   
   Apr 10, 2019   n = 3209: 470544186358744132446735732236211253;                  ecm

   Apr 11, 2019   n = 3283: 2324461687392877701088662871133;                       ecm

   Apr 12, 2019   n = 6016: 79405741087335426622525127411969;                      ecm   
   Apr 12, 2019   n = 6142: 1211889758522439968545637100259;                       ecm
   Apr 12, 2019   n =10027: 52978217068799138884110677;                            ecm
   Apr 12, 2019   n =10727: 10667229229660367020468111879;                         ecm

   Apr 13, 2019   n =7540L: 92908918613191880421357495998041;                      ecm
   Apr 13, 2019   n =10021: 7618873771098573906077;                                ecm
   Apr 13, 2019   n =10033: 43217151390913466182759729;                            ecm
   Apr 13, 2019   n =10061: 2442928187293475067280907;                             ecm
   Apr 13, 2019   n =10253: 8376830325643136798289587;                             ecm
   Apr 13, 2019   n =10279: 664293596700753079516987364243;                        ecm
   Apr 13, 2019   n =10517: 324658472413082314399314683;                           ecm
   Apr 13, 2019   n =10813: 1303514370635977470417877;                             ecm

   Apr 14, 2019   n = 7169: 3669910862324453368414564643;                          ecm
   Apr 14, 2019   n =8060M: 9563613411880480653886428115541468801;                 ecm
   Apr 14, 2019   n =8420M: 961793978153247229732651534445101;                     ecm 

   Apr 19, 2019   n = 3101: 13000387694887231400343819052965179689;                ecm 

   Apr 25, 2019   n = 6499: 4165975905806403445675813;                             ecm 
   Apr 25, 2019   n = 6838: 11752801686094820502490861046771611;                   ecm   
   Apr 25, 2019   n = 6859: 67060198998473064997241;                               ecm 
   Apr 25, 2019   n = 7103: 42802214480689253068237806547;                         ecm 
   Apr 25, 2019   n = 7118: 93606245741965473665134054924388953019;                ecm
   Apr 25, 2019   n = 7295: 41232217477282447750778881;                            ecm 
   Apr 25, 2019   n = 7979: 216251636371721529162346249283;                        ecm 
   Apr 25, 2019   n = 8972: 1331980990053596471625571221796349;                    ecm 
   Apr 25, 2019   n = 9634: 3455074226735489730084375527;                          ecm 
 
   Apr 28, 2019   n = 8413: 243904395884094668914288576880306533;                  ecm
   Apr 28, 2019   n = 8737: 7770910590299873304488185798093;                       ecm
   Apr 28, 2019   n = 9377: 4321331760187959083703542399831;                       ecm
   Apr 28, 2019   n =10159: 29437946832889335998236951;                            ecm
   Apr 28, 2019   n =10259: 115361122055246822564853304133;                        ecm
   Apr 28, 2019   n =11783: 2080263724013311300835809;                             ecm
   
     
-  Found by YOYO@home 
 
-  YOYO@home/MartinOrpen
   Dec 25, 2018   n =1361:  3778133360275162515561392131873427;                    B1= 11e6; sigma = 0:11807715445759359346   
   
-  YOYO@home/lanbrown
   Dec 25, 2018   n = 675:  11302625411464361797455477156321087241022971504311406801; B1= 85e7; sigma = 0:5866504219856597377   
   
-  YOYO@home/user3928 
   Dec 26, 2018   n = 735:  1043724088777138410374757855271037976569452410073591;  B1= 26e7; sigma = 17739413172727101663    
   
-  YOYO@home/bbmz     
   Jan 05, 2019   n =1355:  64798931224892046095300386296961245938921;             B1= 11e6; sigma = 0:12395092201359388656    
   
-  YOYO@home/solo     
   Jan 14, 2019   n =2580L: 40577891868500992650677399803808454657267203875748156761; B1= 26e7; sigma = 0:2155320441625669934     
  
-  YOYO@home/Richard Buser 
   Feb 24, 2019   n =6100L: 17729642323320850278883616474935850401;                B1= 11e6; sigma = 0:12691948414942556416     
   
-  YOYO@home/Danny    
   Feb 25, 2019   n =6100L: 69091807550221647412700483018565101;                   B1= 11e6; sigma = 0:373158171685814716     
   
-  YOYO@home/mengf    
   Apr 11, 2019   n = 563:  601193188650614249069704703228803510540758119;         B1= 11e7; sigma = 0:16222137679668624593   
   
-  YOYO@home/[HWU]regazz           
   May 01, 2019   n = 973:  3715631189441610182664346038535448639;                 B1= 43e6; sigma = 0:7762966324081303750 
       
                       

Factorizations
Repunits: R1        - R2500 (May 02, 2019) Repunits:  R2501 - R5000 (Apr 19, 2019)
Repunits: R5001   - R7500 (May 19, 2019) Repunits: R7501 - R10000 (May 14, 2019)
Repunits: R10001 - R12500 (Apr 29, 2019) Repunits: R12540LM - R14980LM (Apr 13, 2019)


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