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


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News

-  Last update: Feb 25, 2021 

-  Found by Kurt Beschorner 

   Feb 24, 2021   n=100023: 476278158633764719; ***                                 Prime95      
   *** the factor  476278158633764719 already divides n=33341;  
   Feb 24, 2021   n=211007: 16108072373966534359;                                   gr-mfaktc
   Feb 24, 2021   n=211039: 121358142140355173;                                     gr-mfaktc
   Feb 24, 2021   n=211039: 568243849419069917;                                     gr-mfaktc
   Feb 24, 2021   n=211051: 4515755453965056043;                                    gr-mfaktc
   Feb 24, 2021   n=211151: 6162081300878026519;                                    gr-mfaktc
   Feb 24, 2021   n=211153: 3668324944244154347;                                    gr-mfaktc
   Feb 24, 2021   n=211199: 313896846525745009;                                     gr-mfaktc
   Feb 24, 2021   n=211217: 5477131534499966797;                                    gr-mfaktc
   Feb 24, 2021   n=211241: 2568458580598604671;                                    gr-mfaktc
   Feb 24, 2021   n=211271: 793229446948073413;                                     gr-mfaktc
   Feb 24, 2021   n=211283: 81848684329912037;                                      gr-mfaktc
   Feb 24, 2021   n=211349: 6189509756660822797;                                    gr-mfaktc
   Feb 24, 2021   n=211711: 1336912743372801877;                                    gr-mfaktc
   Feb 24, 2021   n=211741: 2241427174247365999;                                    gr-mfaktc
   Feb 24, 2021   n=211747: 134457860930495077;                                     gr-mfaktc
   Feb 24, 2021   n=211789: 75078663858018773;                                      gr-mfaktc
   Feb 24, 2021   n=211949: 136224213331104083;                                     gr-mfaktc
   Feb 24, 2021   n=212243: 82633507966860679;                                      gr-mfaktc
   Feb 24, 2021   n=212243: 125531464465765159;                                     gr-mfaktc
   Feb 24, 2021   n=212243: 4070069162918934431;                                    gr-mfaktc

                                                               
-  Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt Beschorner 
   Feb 22, 2021   R1740M, c204, GNFS: the R1740M-polynom was created by Maksym Voznyy - thanks!
                  575M unique r. relations and 569M unique ideals are collected
                  currently progress ~ 79%:    


-  Found by Kurt Beschorner 
   Feb 18, 2021   n= 33338: 26473748122148971459 * 4155059551......c16361;          Prime95: B1 = 25e4; sigma = 3721822416092411  
   Feb 18, 2021   n=100006: 131222263455836422852729 * 3208425163......c48316;      Prime95: B1 = 25e4; sigma = 877451076478088 
   Feb 18, 2021   n=100008: 9738110213269872780083329;                              ecm:     B1 = 25e4; sigma = 0:921283191225905 
   Feb 18, 2021   n=210019: 294916672661938277;                                     gr-mfaktc
   Feb 18, 2021   n=210139: 8016608178255878321;                                    gr-mfaktc
   Feb 18, 2021   n=210359: 15449896569520745963;                                   gr-mfaktc
   Feb 18, 2021   n=210527: 772445233470428801;                                     gr-mfaktc
   Feb 18, 2021   n=210907: 10480618899828921959;                                   gr-mfaktc
   Feb 18, 2021   n=210961: 720606730320035333;                                     gr-mfaktc
   Feb 18, 2021   n=210967: 263914086493298321;                                     gr-mfaktc


-  Found by Alfred Eichhorn 
   Feb 16, 2021   n =58061: 18335318772409337757493627 * 6059949788......c58035;    ecm: B1 = 5e4; sigma = 4013194110374496  


-  Found by Kurt Beschorner 
   Feb 16, 2021   n=100006: 2612722267775432776127 * 4210168120......c48339;        Prime95: B1 = 25e4; sigma = 7608191250630293 


-  Found by Kurt Beschorner 
   Feb 14, 2021   n= 33336: 22042581445471559199892849 * 4536673721......c11063;    Prime95: B1 = 25e4; sigma = 7347693031613523 
   Feb 14, 2021   n=100010: 965284744298317833425641 * 9417946418......c39144;      Prime95: B1 = 25e4; sigma = 6551488655318284 
   Feb 12, 2021   n=209159: 888021648309639997;                                     gr-mfaktc
   Feb 12, 2021   n=209159: 16623336404661687397;                                   gr-mfaktc 
   Feb 12, 2021   n=209179: 163898236396451957;                                     gr-mfaktc 
   Feb 12, 2021   n=209201: 771437127303892639;                                     gr-mfaktc 
   Feb 12, 2021   n=209203: 180541517625732401;                                     gr-mfaktc 
   Feb 12, 2021   n=209221: 112226960612965201;                                     gr-mfaktc 
   Feb 12, 2021   n=209327: 862829763363950231;                                     gr-mfaktc
   Feb 12, 2021   n=209327: 12699757409513151797;                                   gr-mfaktc 
   Feb 12, 2021   n=209333: 10172016574957747919;                                   gr-mfaktc 
   Feb 12, 2021   n=209359: 1028815126908555551;                                    gr-mfaktc 
   Feb 12, 2021   n=209581: 5763046466684554711;                                    gr-mfaktc 
   Feb 12, 2021   n=209639: 1439523219535157453;                                    gr-mfaktc 
   Feb 12, 2021   n=209719: 3593099583152560841;                                    gr-mfaktc 
   Feb 12, 2021   n=209813: 862241078720870551;                                     gr-mfaktc 
   Feb 12, 2021   n=209927: 73711706016489757;                                      gr-mfaktc 


-  Found by Kurt Beschorner 
   Feb 12, 2021   n = 9195: 1173448688481308662374054052561474321 * 3157195790......c4843; ecm: B1 = 3e6; sigma = 0:7903519068507975 
   Feb 12, 2021   n=208073: 14619836660172008077;                                   gr-mfaktc
   Feb 12, 2021   n=208111: 869815057569817519;                                     gr-mfaktc
   Feb 12, 2021   n=208121: 471359071806866027;                                     gr-mfaktc
   Feb 12, 2021   n=208139: 4105148666725434281;                                    gr-mfaktc
   Feb 12, 2021   n=208189: 7093548360628134199;                                    gr-mfaktc
   Feb 12, 2021   n=208261: 4052616912912693523;                                    gr-mfaktc
   Feb 12, 2021   n=208333: 334840900879534733;                                     gr-mfaktc
   Feb 12, 2021   n=208333: 17325990117149791289;                                   gr-mfaktc
   Feb 12, 2021   n=208387: 895711019183972077;                                     gr-mfaktc
   Feb 12, 2021   n=208391: 1647572036534324911;                                    gr-mfaktc
   Feb 12, 2021   n=208673: 77762329926030889;                                      gr-mfaktc
   Feb 12, 2021   n=208759: 125367358623673027;                                     gr-mfaktc
   Feb 12, 2021   n=208759: 5982544125825102959;                                    gr-mfaktc
   Feb 12, 2021   n=208787: 1245442087783233773;                                    gr-mfaktc
   Feb 12, 2021   n=208877: 167648062266201329;                                     gr-mfaktc
   Feb 12, 2021   n=208933: 462501093922338641;                                     gr-mfaktc
   Feb 12, 2021   n=208963: 254382442582587203;                                     gr-mfaktc
   Feb 12, 2021   n=208963: 3905500193522207603;                                    gr-mfaktc
   Feb 12, 2021   n=208991: 189382937523302587;                                     gr-mfaktc


-  Found by Kurt Beschorner 
   Feb 07, 2021   n=100013: 20756405381963;                                         Prime95   
   Feb 07, 2021   n=207029: 85340487306890227;                                      gr-mfaktc
   Feb 07, 2021   n=207113: 14345060434268942243;                                   gr-mfaktc
   Feb 07, 2021   n=207113: 338371924185129041;                                     gr-mfaktc
   Feb 07, 2021   n=207121: 18199167713546327917;                                   gr-mfaktc
   Feb 07, 2021   n=207127: 1617252563027067557;                                    gr-mfaktc
   Feb 07, 2021   n=207443: 617427678341411963;                                     gr-mfaktc
   Feb 07, 2021   n=207469: 1376281698590225107;                                    gr-mfaktc
   Feb 07, 2021   n=207469: 14034196796617802681;                                   gr-mfaktc
   Feb 07, 2021   n=207619: 271766125349471293;                                     gr-mfaktc
   Feb 07, 2021   n=207643: 2495531453724785929;                                    gr-mfaktc
   Feb 07, 2021   n=207661: 9769522729344615431;                                    gr-mfaktc
   Feb 07, 2021   n=207673: 3940243632203836757;                                    gr-mfaktc
   Feb 07, 2021   n=207719: 4921850512579748351;                                    gr-mfaktc
   Feb 07, 2021   n=207721: 509879330406247987;                                     gr-mfaktc
   Feb 07, 2021   n=207799: 2468019374229383089;                                    gr-mfaktc
   Feb 07, 2021   n=207869: 81834606058245883;                                      gr-mfaktc  

 
-  Found by Kurt Beschorner 
   Feb 03, 2021   n=206009: 820521890639769569;                                     gr-mfaktc
   Feb 03, 2021   n=206027: 3579130623808573123;                                    gr-mfaktc
   Feb 03, 2021   n=206033: 487626885155071369;                                     gr-mfaktc
   Feb 03, 2021   n=206051: 91397149832492923;                                      gr-mfaktc
   Feb 03, 2021   n=206051: 165482108842006079;                                     gr-mfaktc
   Feb 03, 2021   n=206123: 358051811128122677;                                     gr-mfaktc
   Feb 03, 2021   n=206221: 4950897406040809987;                                    gr-mfaktc
   Feb 03, 2021   n=206251: 979963355383668973;                                     gr-mfaktc
   Feb 03, 2021   n=206263: 208106614041290311;                                     gr-mfaktc
   Feb 03, 2021   n=206291: 121676531609502197;                                     gr-mfaktc
   Feb 03, 2021   n=206347: 967153256083990831;                                     gr-mfaktc
   Feb 03, 2021   n=206779: 2007572203152034969;                                    gr-mfaktc
   Feb 03, 2021   n=206783: 471177428449107587;                                     gr-mfaktc
   Feb 03, 2021   n=206813: 2619075724853479637;                                    gr-mfaktc
  

-  Correction
   false:   -  Found by Sam Wagstaff     Nov 08, 2020   n =  371: nnn...   
   false:   -  Found by Sam Wagstaff     Oct 21, 2020   n =  742: nnn...   
   correct: -  Found by NFS@home         Nov 08, 2020   n =  371: nnn...   
   correct  -  Found by NFS@home         Oct 21, 2020   n =  742: nnn...   
   find out by Bo Chen   

                                 
-  Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt Beschorner 
   Jan 30, 2021   n=   337: 10040499610458011332733838420983746051698922310460547466000255532841658478393221611341226016666610043 * 2068111096......P102; GNFS  
                  the R337-polynom was created by Gimarel and Maksym Voznyy - thanks!
Fri Dec 11 13:26:41 2020  Msieve v. 1.53 (SVN unknown)
Fri Dec 11 13:26:41 2020  random seeds: e896c2b0 7e95bc67
Fri Dec 11 13:26:41 2020  factoring 2076486865904164187880498803002833020624706055858258295123907760787910463183237701437319913688727165276132151609318284002818920807675158414601157967453931895433506042829474274993772412901816590191592923 (202 digits)
Fri Dec 11 13:26:42 2020  searching for 15-digit factors
Fri Dec 11 13:26:42 2020  commencing number field sieve (202-digit input)
Fri Dec 11 13:26:42 2020  R0: -569723684380800940438196359245718396921
Fri Dec 11 13:26:42 2020  R1: 70657199511226729851381
Fri Dec 11 13:26:42 2020  A0: 103394935622210316241163667133894195533223700664
Fri Dec 11 13:26:42 2020  A1: 2005134862565171054958260583228432033199
Fri Dec 11 13:26:42 2020  A2: -258722981282823408955980872471445
Fri Dec 11 13:26:42 2020  A3: -6736467009189155856979666
Fri Dec 11 13:26:42 2020  A4: 144172045327866816
Fri Dec 11 13:26:42 2020  A5: 1245404160
Fri Dec 11 13:26:42 2020  skew 50335474.00, size 8.799e-020, alpha -8.773, combined = 3.886e-015 rroots = 3
Fri Dec 11 13:26:42 2020  
Fri Dec 11 13:26:42 2020  commencing relation filtering
Fri Dec 11 13:26:42 2020  setting target matrix density to 128.0
Fri Dec 11 13:26:42 2020  estimated available RAM is 130983.0 MB
Fri Dec 11 13:26:42 2020  commencing duplicate removal, pass 1
Fri Dec 11 13:27:21 2020  error -6 reading relation 3774114
...
Fri Dec 11 15:26:25 2020  found 99036873 hash collisions in 725476492 relations
Fri Dec 11 15:26:58 2020  added 1537 free relations
Fri Dec 11 15:26:58 2020  commencing duplicate removal, pass 2
Fri Dec 11 15:36:20 2020  found 46 duplicates and 725477983 unique relations
Fri Dec 11 15:36:20 2020  memory use: 4262.0 MB
Fri Dec 11 15:36:20 2020  reading ideals above 447938560
Fri Dec 11 15:36:20 2020  commencing singleton removal, initial pass
Fri Dec 11 17:25:08 2020  memory use: 11024.0 MB
Fri Dec 11 17:25:09 2020  reading all ideals from disk
Fri Dec 11 17:25:18 2020  memory use: 13804.5 MB
Fri Dec 11 17:26:21 2020  commencing in-memory singleton removal
Fri Dec 11 17:27:24 2020  begin with 725477983 relations and 620191752 unique ideals
Fri Dec 11 17:46:00 2020  reduce to 486855824 relations and 358905200 ideals in 16 passes
Fri Dec 11 17:46:00 2020  max relations containing the same ideal: 65
Fri Dec 11 17:47:00 2020  reading ideals above 720000
...
Sat Dec 12 05:32:11 2020  begin with 150702399 relations and 148372552 unique ideals
Sat Dec 12 05:34:58 2020  reduce to 150700111 relations and 147770909 ideals in 5 passes
Sat Dec 12 05:34:58 2020  max relations containing the same ideal: 99
Sat Dec 12 05:35:43 2020  relations with 0 large ideals: 8884
Sat Dec 12 05:35:43 2020  relations with 1 large ideals: 28327
Sat Dec 12 05:35:43 2020  relations with 2 large ideals: 433414
Sat Dec 12 05:35:43 2020  relations with 3 large ideals: 3019658
Sat Dec 12 05:35:43 2020  relations with 4 large ideals: 11532541
Sat Dec 12 05:35:43 2020  relations with 5 large ideals: 26697890
Sat Dec 12 05:35:43 2020  relations with 6 large ideals: 39207043
Sat Dec 12 05:35:43 2020  relations with 7+ large ideals: 69772354
Sat Dec 12 05:35:43 2020  commencing 2-way merge
Sat Dec 12 05:39:45 2020  reduce to 96081764 relation sets and 93152562 unique ideals
Sat Dec 12 05:39:45 2020  commencing full merge
Sat Dec 12 06:50:44 2020  memory use: 11345.4 MB
Sat Dec 12 06:51:26 2020  found 42677430 cycles, need 42442762
Sat Dec 12 06:51:29 2020  weight of 42442762 cycles is about 5432848814 (128.00/cycle)
Sat Dec 12 06:51:29 2020  distribution of cycle lengths:
Sat Dec 12 06:51:29 2020  1 relations: 3015888
Sat Dec 12 06:51:29 2020  2 relations: 2956746
Sat Dec 12 06:51:29 2020  3 relations: 3090156
Sat Dec 12 06:51:29 2020  4 relations: 3065324
Sat Dec 12 06:51:29 2020  5 relations: 3095706
Sat Dec 12 06:51:29 2020  6 relations: 3029111
Sat Dec 12 06:51:29 2020  7 relations: 2935338
Sat Dec 12 06:51:29 2020  8 relations: 2817380
Sat Dec 12 06:51:29 2020  9 relations: 2652394
Sat Dec 12 06:51:29 2020  10+ relations: 15784719
Sat Dec 12 06:51:29 2020  heaviest cycle: 28 relations
Sat Dec 12 06:57:30 2020  commencing cycle optimization
Sat Dec 12 07:00:18 2020  start with 354106957 relations
Sat Dec 12 07:32:09 2020  pruned 15064668 relations
Sat Dec 12 07:32:10 2020  memory use: 9816.3 MB
Sat Dec 12 07:32:10 2020  distribution of cycle lengths:
Sat Dec 12 07:32:10 2020  1 relations: 3015888
Sat Dec 12 07:32:10 2020  2 relations: 3038755
Sat Dec 12 07:32:10 2020  3 relations: 3223126
Sat Dec 12 07:32:10 2020  4 relations: 3189941
Sat Dec 12 07:32:10 2020  5 relations: 3239551
Sat Dec 12 07:32:10 2020  6 relations: 3159524
Sat Dec 12 07:32:10 2020  7 relations: 3074374
Sat Dec 12 07:32:10 2020  8 relations: 2935585
Sat Dec 12 07:32:10 2020  9 relations: 2756288
Sat Dec 12 07:32:10 2020  10+ relations: 14809730
Sat Dec 12 07:32:10 2020  heaviest cycle: 28 relations
Sat Dec 12 07:40:18 2020  RelProcTime: 65616
Sat Dec 12 07:40:18 2020  elapsed time 18:13:37
Sat Dec 12 08:16:33 2020  
Sat Dec 12 08:16:33 2020  Msieve v. 1.53 (SVN unknown)
Sat Dec 12 08:16:33 2020  random seeds: b71355cc f0cca437
Sat Dec 12 08:16:33 2020  factoring 2076486865904164187880498803002833020624706055858258295123907760787910463183237701437319913688727165276132151609318284002818920807675158414601157967453931895433506042829474274993772412901816590191592923 (202 digits)
Sat Dec 12 08:16:34 2020  searching for 15-digit factors
Sat Dec 12 08:16:34 2020  commencing number field sieve (202-digit input)
Sat Dec 12 08:16:34 2020  R0: -569723684380800940438196359245718396921
Sat Dec 12 08:16:34 2020  R1: 70657199511226729851381
Sat Dec 12 08:16:34 2020  A0: 103394935622210316241163667133894195533223700664
Sat Dec 12 08:16:35 2020  A1: 2005134862565171054958260583228432033199
Sat Dec 12 08:16:35 2020  A2: -258722981282823408955980872471445
Sat Dec 12 08:16:35 2020  A3: -6736467009189155856979666
Sat Dec 12 08:16:35 2020  A4: 144172045327866816
Sat Dec 12 08:16:35 2020  A5: 1245404160
Sat Dec 12 08:16:35 2020  skew 50335474.00, size 8.799e-020, alpha -8.773, combined = 3.886e-015 rroots = 3
Sat Dec 12 08:16:35 2020  
Sat Dec 12 08:16:35 2020  commencing linear algebra
Sat Dec 12 08:16:43 2020  read 42442762 cycles
Sat Dec 12 08:19:11 2020  cycles contain 149148515 unique relations
Sat Dec 12 08:37:39 2020  read 149148515 relations
Sat Dec 12 08:48:37 2020  using 20 quadratic characters above 4294917295
Sat Dec 12 08:57:28 2020  building initial matrix
Sat Dec 12 10:04:57 2020  memory use: 21895.4 MB
Sat Dec 12 10:06:08 2020  read 42442762 cycles
Sat Dec 12 10:06:29 2020  matrix is 42442585 x 42442762 (21260.1 MB) with weight 6437941974 (151.69/col)
Sat Dec 12 10:06:29 2020  sparse part has weight 5063888199 (119.31/col)
Sat Dec 12 10:22:43 2020  filtering completed in 2 passes
Sat Dec 12 10:23:05 2020  matrix is 42440826 x 42441003 (21259.9 MB) with weight 6437861134 (151.69/col)
Sat Dec 12 10:23:05 2020  sparse part has weight 5063866511 (119.32/col)
Sat Dec 12 10:30:14 2020  matrix starts at (0, 0)
Sat Dec 12 10:30:35 2020  matrix is 42440826 x 42441003 (21259.9 MB) with weight 6437861134 (151.69/col)
Sat Dec 12 10:30:35 2020  sparse part has weight 5063866511 (119.32/col)
Sat Dec 12 10:30:35 2020  saving the first 48 matrix rows for later
Sat Dec 12 10:30:57 2020  matrix includes 64 packed rows
Sat Dec 12 10:31:10 2020  matrix is 42440778 x 42441003 (20709.3 MB) with weight 5540968685 (130.56/col)
Sat Dec 12 10:31:10 2020  sparse part has weight 5004419177 (117.91/col)
Sat Dec 12 10:31:10 2020  using block size 8192 and superblock size 6291456 for processor cache size 65536 kB
Sat Dec 12 10:40:03 2020  commencing Lanczos iteration (24 threads)
Sat Dec 12 10:40:03 2020  memory use: 17940.5 MB
Sat Dec 12 10:46:37 2020  linear algebra at 0.0%, ETA 2906h16m
Sat Dec 12 10:47:33 2020  checkpointing every 20000 dimensions
...
Sat Jan 30 05:15:45 2021  lanczos halted after 671165 iterations (dim = 42440777)
Sat Jan 30 05:16:31 2021  recovered 30 nontrivial dependencies
Sat Jan 30 05:17:41 2021  BLanczosTime: 1430963
Sat Jan 30 05:17:41 2021  elapsed time 397:29:24
Sat Jan 30 05:29:02 2021  
Sat Jan 30 05:29:02 2021  
Sat Jan 30 05:29:02 2021  Msieve v. 1.53 (SVN unknown)
Sat Jan 30 05:29:02 2021  random seeds: a8d838ec 22df3765
Sat Jan 30 05:29:02 2021  factoring 2076486865904164187880498803002833020624706055858258295123907760787910463183237701437319913688727165276132151609318284002818920807675158414601157967453931895433506042829474274993772412901816590191592923 (202 digits)
Sat Jan 30 05:29:03 2021  searching for 15-digit factors
Sat Jan 30 05:29:03 2021  commencing number field sieve (202-digit input)
Sat Jan 30 05:29:03 2021  R0: -569723684380800940438196359245718396921
Sat Jan 30 05:29:03 2021  R1: 70657199511226729851381
Sat Jan 30 05:29:03 2021  A0: 103394935622210316241163667133894195533223700664
Sat Jan 30 05:29:03 2021  A1: 2005134862565171054958260583228432033199
Sat Jan 30 05:29:03 2021  A2: -258722981282823408955980872471445
Sat Jan 30 05:29:03 2021  A3: -6736467009189155856979666
Sat Jan 30 05:29:03 2021  A4: 144172045327866816
Sat Jan 30 05:29:03 2021  A5: 1245404160
Sat Jan 30 05:29:03 2021  skew 50335474.00, size 8.799e-020, alpha -8.773, combined = 3.886e-015 rroots = 3
Sat Jan 30 05:29:03 2021  
Sat Jan 30 05:29:03 2021  commencing square root phase
Sat Jan 30 05:29:03 2021  handling dependencies 1 to 64
Sat Jan 30 05:29:03 2021  reading relations for dependency 1
Sat Jan 30 05:29:08 2021  read 21217401 cycles
Sat Jan 30 05:29:46 2021  cycles contain 74558334 unique relations
Sat Jan 30 05:35:43 2021  read 74558334 relations
Sat Jan 30 05:41:04 2021  multiplying 74558334 relations
Sat Jan 30 07:50:21 2021  multiply complete, coefficients have about 5317.37 million bits
Sat Jan 30 07:51:02 2021  initial square root is modulo 918433
Sat Jan 30 10:14:57 2021  GCD is N, no factor found
Sat Jan 30 10:14:57 2021  reading relations for dependency 2
Sat Jan 30 10:15:05 2021  read 21215460 cycles
Sat Jan 30 10:16:26 2021  cycles contain 74562526 unique relations
Sat Jan 30 10:27:23 2021  read 74562526 relations
Sat Jan 30 10:39:44 2021  multiplying 74562526 relations
Sat Jan 30 12:50:16 2021  multiply complete, coefficients have about 5317.67 million bits
Sat Jan 30 12:50:57 2021  initial square root is modulo 919153
Sat Jan 30 15:14:23 2021  sqrtTime: 35120
Sat Jan 30 15:14:23 2021  p101 factor: 10040499610458011332733838420983746051698922310460547466000255532841658478393221611341226016666610043
Sat Jan 30 15:14:23 2021  p102 factor: 206811109652484947999953179293051913495058417807929099923220893228189351588693144846296035840822032161
Sat Jan 30 15:14:23 2021  elapsed time 09:45:21


-  Found by Kurt Beschorner 
   Jan 30, 2021   n= 14287: 470880522969941164000649 * 148984540......c11171;       ecm: B1 = 5e4; sigma = 0:5190893335070041 

                 
-  Found by Alfred Eichhorn 
   Jan 27, 2021   n =57977: 136706260257531467568281 * 8127726623......c57953;      mprime: B1=  5e4; sigma = 7017535596326062  
   Jan 27, 2021   n =94291: 3110641719058304721731039 * 3571967495......c94266;     mprime: B1=  5e4; sigma = 0:5239395843259510   


-  Found by Kurt Beschorner 
   Jan 27, 2021   n= 14287: 10577800322757900954578039 * 7015391835......c11194     ecm: B1 = 5e4; sigma = 0:590946536009718  
   Jan 27, 2021   n=100009: 20634960379307;                                         Prime95  
   Jan 27, 2021   n=100009: 323337807782099839;                                     Prime95  
   Jan 27, 2021   n=205043: 3175049812855785373;                                    gr-mfaktc
   Jan 27, 2021   n=205063: 231040781001988831;                                     gr-mfaktc
   Jan 27, 2021   n=205103: 3307884981352375759;                                    gr-mfaktc
   Jan 27, 2021   n=205171: 164985237671568689;                                     gr-mfaktc


-  Found by YOYO@home 
   Patrick Schmeer                
   Jan 26, 2021   n =  519: 25175590297709339047755994593944705119042514299940364907; ecm: B1= 85e7; sigma = 0:15265866885997281733 


-  Found by Kurt Beschorner 
   Jan 25, 2021   n = 9201: 12709664685205696122625527283 * 1019497540......c6073   ecm: B1= 1e6; sigma = 0:1735000536225406 
   Jan 25, 2021   n =20001: 30095813389833721 * 4466077708......c12952              Prime95


-  Found by Kurt Beschorner 
   Jan 21, 2021   n=205357: 312192707609223907 * 294656......c205328                gr-mfaktc
   Jan 21, 2021   n=205433: 1377768001452011959 * 104416......c205403               gr-mfaktc
   Jan 21, 2021   n=205937: 1591322610721439053 * 637904......c205896               gr-mfaktc

                 
-  Found by Alfred Eichhorn 
   Jan 19, 2021   n =38543: 9504220232671058895124963 * 1169071300......c38518;     mprime: B1=  5e4; sigma = 6124289643683899 
   Jan 19, 2021   n =94207: 86797080183778288461827 * 1280124986......c94184;       mprime: B1=  5e4; sigma = 0:6719918816758285


-  Found by YOYO@home 
   errate               
   Jan 12, 2021   n =  469: 316237267349250204445544982727458065652184756181185770847813; ecm: B1= 26e7; sigma = 0:16910116206833045390 


-  Found by Alfred Eichhorn 
   Jan 04, 2021   n =93701: 1526582156275453470741631 * 7278423283......c93676;     ecm: B1=  5e4; sigma = 6283823372959198 


-  Found by Kurt Beschorner 
   Dec 29, 2020   n=204377: 180927010969434427;                                     gr-mfaktc
   Dec 29, 2020   n=204439: 146267738020373369;                                     gr-mfaktc
   Dec 29, 2020   n=204443: 1141682112054625373;                                    gr-mfaktc
   Dec 29, 2020   n=204517: 242218831754908199;                                     gr-mfaktc
   Dec 29, 2020   n=204521: 930251343650046547;                                     gr-mfaktc
   Dec 29, 2020   n=204749: 3125506118317147517;                                    gr-mfaktc
   Dec 29, 2020   n=204791: 2177964030259034639;                                    gr-mfaktc
   Dec 29, 2020   n=204923: 3212257844499303037;                                    gr-mfaktc 


-  Found by Alfred Eichhorn 
   Dec 21, 2020   n =37463: 1291513379507105982324649 * 8603171509......c37438;     ecm: B1=  5e4; sigma = 0:1282936939025672 


-  Found by Alfred Eichhorn 
   Dec 13, 2020   n =  625: 2782057126261476352728985117193142348250001 * 3594462495......c458; ecm: B1= 11e6; sigma = 3811420836399633
   Dec 13, 2020   n =37321: 221668844876440908080053 * 5012482073......c37297;      ecm: B1=  5e4; sigma = 0:987604560642120
   Dec 13, 2020   n =57331: 33093028143691601488997453 * 3357538350......c57305;    ecm: B1=  5e4; sigma = 0:987604560642120
 
      
-  Found by Kurt Beschorner 
   Dec 13, 2020   n=202661: 13828771137650000489;                                   gr-mfaktc
   Dec 13, 2020   n=202879: 564427863361066559;                                     gr-mfaktc
   Dec 13, 2020   n=202921: 115530666508472639;                                     gr-mfaktc
   Dec 13, 2020   n=202931: 737568547529905963;                                     gr-mfaktc
   Dec 13, 2020   n=202973: 258320382027350551;                                     gr-mfaktc
   Dec 13, 2020   n=203011: 74480284974773929;                                      gr-mfaktc
   Dec 13, 2020   n=203017: 5417969190539215489;                                    gr-mfaktc
   Dec 13, 2020   n=203057: 154199528114873467;                                     gr-mfaktc
   Dec 13, 2020   n=203057: 558587913706561667;                                     gr-mfaktc
   Dec 13, 2020   n=203249: 211939161422157881;                                     gr-mfaktc
   Dec 13, 2020   n=203323: 230417205702758089;                                     gr-mfaktc
   Dec 13, 2020   n=203429: 8854742073047374187;                                    gr-mfaktc
   Dec 13, 2020   n=203449: 432419812911358747;                                     gr-mfaktc
   Dec 13, 2020   n=204047: 9315600248238805307;                                    gr-mfaktc
   Dec 13, 2020   n=204161: 7429452098801410159;                                    gr-mfaktc

               
-  Found by Alfred Eichhorn 
   Dec 05, 2020   n =37201: 61661917470414349548721 * 1801940576......c37178;       ecm: B1= 5e4;  sigma = 0:8865721391841076
   Dec 05, 2020   n =93287: 80748952618511228733655747 * 1376006839......c93261;    ecm: B1= 5e4;  sigma = 0:4352615473108340
   Dec 05, 2020   n =93319: 72613413035798133874393863323 * 1530173372......c93290; ecm: B1= 5e4;  sigma = 5938287298114563
   Dec 05, 2020   n =93329: 207470583332892320266595359 * 5355511577......c93302;   ecm: B1= 5e4;  sigma = 0:7711384171121594
 
 
-  Found by Kurt Beschorner 
   Dec 05, 2020   n=200257: 10472706401264520929;                                   gr-mfaktc
   Dec 05, 2020   n=200771: 3458884538999782439;                                    gr-mfaktc
   Dec 05, 2020   n=200843: 177815856530546681;                                     gr-mfaktc
   Dec 05, 2020   n=201403: 13628684355253005161;                                   gr-mfaktc
   Dec 05, 2020   n=201449: 765791177198537653;                                     gr-mfaktc
   Dec 05, 2020   n=201577: 2627722192656856003;                                    gr-mfaktc
   Dec 05, 2020   n=201629: 391853253351994723;                                     gr-mfaktc
   Dec 05, 2020   n=201743: 5657524658262946307;                                    gr-mfaktc
   Dec 05, 2020   n=201791: 133241200625790511;                                     gr-mfaktc
   Dec 05, 2020   n=201997: 11753508360524190721;                                   gr-mfaktc
   Dec 05, 2020   n=202021: 729769732924109369;                                     gr-mfaktc
   Dec 05, 2020   n=202309: 587656311827276917;                                     gr-mfaktc
   Dec 05, 2020   n=202343: 75641480950944347;                                      gr-mfaktc



ECM efforts
with Rn:      323 < n < 2000 (Feb 16, 2021) with Rn:     1999 < n < 3000 (Jan 04, 2021)
with Rn:     2999 < n < 4000 (Jun 12, 2019) with Rn:     3999 < n < 5000 (Jun 12, 2019)
with Rn:     4999 < n < 6000 (Jan 19, 2021) with Rn:     5999 < n < 7000 (Feb 12, 2021)
with Rn:     6999 < n < 8000 (Sep 27, 2020) with Rn:     7999 < n < 9000 (Aug 22, 2020)
with Rn:     8999 < n <10000 (Feb 22, 2021) with Rn:     9999 < n <11000 (Jun 12, 2019)
with Rn:   10999 < n <12000 (Jun 12, 2019) with Rn:   11999 < n <12500L/M (Oct 31, 2020)



currently ECM-efforts by   yoyo@home:    ecm-curves
B1 = 43e6/8600 curves/
numbers < 1001 digits
1117
working
1255
working
1257
working
1465
working
1475
working
B1 = 11e7/18400 curves/
numbers < 701 digits
593
working
599
working
607
working
611
working
617
working
B1 = 26e7/46000 curves/
numbers < 450 digits
469
working
475
working
521
working
1136
working
1160
working
B1 = 85e7/75000 curves/
numbers < 250 digits
609
working
735
working
1008
working
1188
working
1200
working



Factorizations
Repunits: R1        - R2500 (Jan 31, 2021) Repunits:  R2501 - R5000 (Feb 14, 2020)
Repunits: R5001   - R7500 (Sep 28, 2020) Repunits: R7501 - R10000 (Feb 12, 2021)
Repunits: R10001 - R12500 (Jun 12, 2019) Repunits: R12501 - R14980L/M (Sep 19, 2020)




Rprime project; base 10

last update: Feb 24, 2021

project page  

Status:       3 - 1M     1M - 2M     2M - 3M     3M - 4M     4M - 5M     5M - 6M    
Details:     3 - 1M     1M - 2M     2M - 3M     3M - 4M     4M - 5M     5M - 6M    

active members: Danilo Nitsche, Paul Bourdelais , Benjamin Chaffin, Edo Rajh, Kurt Beschorner

all contributors:   Danilo Nitsche, Paul Bourdelais, Charles, Bo Chen, Alfred Eichhorn, FactorDB.com, Giovanni Di Maria, Fan Ming,
                                Phil, Richard Kapek, kkmrkkblmbrbk (aka GP2), Pavlos, 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 = PRP                 Harvey Dubner (Sep 1999)
    - 10ˆ100000     R86453 = PRP                 Lew Baxter (Oct 2000)
    - 10ˆ250000     R109297 = PRP               Paul Bourdelais - Harvey Dubner (Apr 2007)
    - 10ˆ500000     R270343 = PRP               Maksym Voznyy - Anton Budnyy (Jul 2007)
    - 10ˆ 4300447     no further probable primes




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