Factorizations of Repunit Numbers

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

ECM EFFORTS
with Rn: 323 < n < 2000 (Jun 20, 2019)	with Rn: 1999 < n < 3000 (May 31, 2019)
with Rn: 2999 < n < 4000 (Jun 12, 2019)	with Rn: 3999 < n < 5000 (Jun 12, 2019)
with Rn: 4999 < n < 6000 (Apr 04, 2019)	with Rn: 5999 < n < 7000 (Jun 20, 2019)
with Rn: 6999 < n < 8000 (Jun 12, 2019)	with Rn: 7999 < n < 9000 (Jun 12, 2019)
with Rn: 8999 < n <10000 (Jun 12, 2019)	with Rn: 9999 < n <11000 (Jun 12, 2019)
with Rn: 10999 < n <12000 (Jun 12, 2019)	with Rn: 11999 < n <12501 (Mar 16, 2019)
Efforts by yoyo@home: ecm-curves
B1 = 43e6/8600 curves/ numbers < 1001 digits	983 working	985 working	989 working	997 working	1233 working
B1 = 11e7/18400 curves/ numbers < 701 digits	551 working	563 working	569 working	571 working	879 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: Jun 25, 2019          

-  Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt Beschorner 
   Jun 25, 2019   R507, c200, GNFS: the R507-polynom was created by Makzym Voznyy in cooperation with mersenneforum - thanks!
                 - msieve: square root phase: GNU MP: cannot allocate memory (size=4294914080) 
                 - presumably a bad row relation
                 - we check the row relations with remdups
                 - we create some millions new row relations
                 - new start msieve -nc.

                 2nd attempt
Wed Jun 05 15:20:13 2019  Msieve v. 1.53 (SVN unknown)
Wed Jun 05 15:20:13 2019  random seeds: 04cbf678 5cd35499
Wed Jun 05 15:20:13 2019  factoring 46802612901958501868841642965751124516436202272587430374287737787818526612306217484595957815607978887434356766596560265669642422106894901815250576734687838908431237216708427946009827065503443998015551 (200 digits)
Wed Jun 05 15:20:14 2019  searching for 15-digit factors
Wed Jun 05 15:20:15 2019  commencing number field sieve (200-digit input)
Wed Jun 05 15:20:15 2019  R0: -489207429141011531399145000684883987953
Wed Jun 05 15:20:15 2019  R1: 4672294682135028058
Wed Jun 05 15:20:15 2019  A0: -1141622752347875247016534173692198727370239170296
Wed Jun 05 15:20:15 2019  A1: 606229025806036192373697162986942868196
Wed Jun 05 15:20:15 2019  A2: 142633534281473766366139546615926
Wed Jun 05 15:20:15 2019  A3: -540694411833242620565099
Wed Jun 05 15:20:15 2019  A4: -2965749858137203
Wed Jun 05 15:20:15 2019  A5: 3340680
Wed Jun 05 15:20:15 2019  skew 269920746.28, size 1.143e-019, alpha -7.036, combined = 4.526e-015 rroots = 3
Wed Jun 05 15:20:15 2019  
Wed Jun 05 15:20:15 2019  commencing relation filtering
Wed Jun 05 15:20:15 2019  setting target matrix density to 120.0
Wed Jun 05 15:20:15 2019  estimated available RAM is 65214.1 MB
Wed Jun 05 15:20:15 2019  commencing duplicate removal, pass 1
Wed Jun 05 15:31:57 2019  error -11 reading relation 42218279
...
Wed Jun 05 18:46:33 2019  skipped 936 relations with composite factors
Wed Jun 05 18:46:33 2019  found 105505677 hash collisions in 751498548 relations
Wed Jun 05 18:47:28 2019  added 122087 free relations
Wed Jun 05 18:47:28 2019  commencing duplicate removal, pass 2
Wed Jun 05 18:57:18 2019  found 120 duplicates and 751620515 unique relations
Wed Jun 05 18:57:18 2019  memory use: 4262.0 MB
Wed Jun 05 18:57:19 2019  reading ideals above 399835136
Wed Jun 05 18:57:19 2019  commencing singleton removal, initial pass
Wed Jun 05 21:48:24 2019  memory use: 11024.0 MB
Wed Jun 05 21:48:25 2019  reading all ideals from disk
Wed Jun 05 21:49:02 2019  memory use: 14544.7 MB
Wed Jun 05 21:50:29 2019  commencing in-memory singleton removal
Wed Jun 05 21:51:52 2019  begin with 751620515 relations and 629292271 unique ideals
Wed Jun 05 22:11:40 2019  reduce to 522821043 relations and 380119748 ideals in 14 passes
Wed Jun 05 22:11:40 2019  max relations containing the same ideal: 37
Wed Jun 05 22:13:03 2019  reading ideals above 720000
Wed Jun 05 22:13:04 2019  commencing singleton removal, initial pass
Thu Jun 06 00:53:49 2019  memory use: 11024.0 MB
Thu Jun 06 00:53:50 2019  reading all ideals from disk
Thu Jun 06 00:54:59 2019  memory use: 23366.0 MB
Thu Jun 06 00:57:29 2019  keeping 420025647 ideals with weight <= 200, target excess is 2748697
Thu Jun 06 00:59:59 2019  commencing in-memory singleton removal
Thu Jun 06 01:01:43 2019  begin with 522821043 relations and 420025647 unique ideals
Thu Jun 06 01:13:15 2019  reduce to 522820887 relations and 420025491 ideals in 5 passes
Thu Jun 06 01:13:15 2019  max relations containing the same ideal: 200
Thu Jun 06 01:21:22 2019  removing 13208755 relations and 11432398 ideals in 2000000 cliques
...
Thu Jun 06 13:01:43 2019  begin with 146648187 relations and 147648862 unique ideals
Thu Jun 06 13:06:10 2019  reduce to 146319685 relations and 141465962 ideals in 9 passes
Thu Jun 06 13:06:10 2019  max relations containing the same ideal: 93
Thu Jun 06 13:08:36 2019  removing 6873336 relations and 5208102 ideals in 1665234 cliques
Thu Jun 06 13:08:39 2019  commencing in-memory singleton removal
Thu Jun 06 13:09:00 2019  begin with 139446349 relations and 141465962 unique ideals
Thu Jun 06 13:12:18 2019  reduce to 139182769 relations and 135991641 ideals in 7 passes
Thu Jun 06 13:12:18 2019  max relations containing the same ideal: 91
Thu Jun 06 13:14:55 2019  relations with 0 large ideals: 9544
Thu Jun 06 13:14:55 2019  relations with 1 large ideals: 39305
Thu Jun 06 13:14:55 2019  relations with 2 large ideals: 579249
Thu Jun 06 13:14:55 2019  relations with 3 large ideals: 3742436
Thu Jun 06 13:14:55 2019  relations with 4 large ideals: 13151744
Thu Jun 06 13:14:55 2019  relations with 5 large ideals: 27825486
Thu Jun 06 13:14:55 2019  relations with 6 large ideals: 37224992
Thu Jun 06 13:14:55 2019  relations with 7+ large ideals: 56610013
Thu Jun 06 13:14:55 2019  commencing 2-way merge
Thu Jun 06 13:18:02 2019  reduce to 89020399 relation sets and 85829271 unique ideals
Thu Jun 06 13:18:02 2019  commencing full merge
Thu Jun 06 14:14:25 2019  memory use: 10363.8 MB
Thu Jun 06 14:15:07 2019  found 40425451 cycles, need 40073471
Thu Jun 06 14:15:10 2019  weight of 40073471 cycles is about 4809314072 (120.01/cycle)
Thu Jun 06 14:15:10 2019  distribution of cycle lengths:
Thu Jun 06 14:15:10 2019  1 relations: 2914457
Thu Jun 06 14:15:10 2019  2 relations: 2865235
Thu Jun 06 14:15:10 2019  3 relations: 3036093
Thu Jun 06 14:15:10 2019  4 relations: 3041979
Thu Jun 06 14:15:10 2019  5 relations: 3079980
Thu Jun 06 14:15:10 2019  6 relations: 3069094
Thu Jun 06 14:15:10 2019  7 relations: 2961165
Thu Jun 06 14:15:10 2019  8 relations: 2834486
Thu Jun 06 14:15:10 2019  9 relations: 2634031
Thu Jun 06 14:15:10 2019  10+ relations: 13636951
Thu Jun 06 14:15:10 2019  heaviest cycle: 26 relations
Thu Jun 06 14:20:21 2019  commencing cycle optimization
Thu Jun 06 14:23:20 2019  start with 315932232 relations
Thu Jun 06 14:49:08 2019  pruned 13020985 relations
Thu Jun 06 14:49:08 2019  memory use: 8950.6 MB
Thu Jun 06 14:49:08 2019  distribution of cycle lengths:
Thu Jun 06 14:49:08 2019  1 relations: 2914457
Thu Jun 06 14:49:08 2019  2 relations: 2942794
Thu Jun 06 14:49:08 2019  3 relations: 3163642
Thu Jun 06 14:49:08 2019  4 relations: 3164076
Thu Jun 06 14:49:08 2019  5 relations: 3225886
Thu Jun 06 14:49:08 2019  6 relations: 3204112
Thu Jun 06 14:49:08 2019  7 relations: 3103768
Thu Jun 06 14:49:08 2019  8 relations: 2950266
Thu Jun 06 14:49:08 2019  9 relations: 2736133
Thu Jun 06 14:49:08 2019  10+ relations: 12668337
Thu Jun 06 14:49:08 2019  heaviest cycle: 26 relations
Thu Jun 06 14:56:05 2019  RelProcTime: 84950
Thu Jun 06 14:56:05 2019  elapsed time 23:35:52

Thu Jun 06 18:43:59 2019  commencing linear algebra
Thu Jun 06 18:44:09 2019  read 40073471 cycles
Thu Jun 06 18:46:57 2019  cycles contain 137482612 unique relations
Thu Jun 06 19:15:04 2019  read 137482612 relations
Thu Jun 06 19:23:20 2019  using 20 quadratic characters above 4294917295
Thu Jun 06 19:35:16 2019  building initial matrix
Thu Jun 06 20:44:05 2019  memory use: 19299.1 MB
Thu Jun 06 20:45:22 2019  read 40073471 cycles
Thu Jun 06 20:45:42 2019  matrix is 40073293 x 40073471 (19077.2 MB) with weight 5727212997 (142.92/col)
Thu Jun 06 20:45:42 2019  sparse part has weight 4520094425 (112.80/col)
Thu Jun 06 21:01:43 2019  filtering completed in 2 passes
Thu Jun 06 21:02:03 2019  matrix is 40070973 x 40071151 (19077.0 MB) with weight 5727111199 (142.92/col)
Thu Jun 06 21:02:03 2019  sparse part has weight 4520063356 (112.80/col)
Thu Jun 06 21:08:31 2019  matrix starts at (0, 0)
Thu Jun 06 21:08:51 2019  matrix is 40070973 x 40071151 (19077.0 MB) with weight 5727111199 (142.92/col)
Thu Jun 06 21:08:51 2019  sparse part has weight 4520063356 (112.80/col)
Thu Jun 06 21:08:51 2019  saving the first 48 matrix rows for later
Thu Jun 06 21:09:12 2019  matrix includes 64 packed rows
Thu Jun 06 21:09:24 2019  matrix is 40070925 x 40071151 (18510.4 MB) with weight 4894290233 (122.14/col)
Thu Jun 06 21:09:24 2019  sparse part has weight 4451689351 (111.09/col)
Thu Jun 06 21:09:24 2019  using block size 8192 and superblock size 1081344 for processor cache size 11264 kB
Thu Jun 06 21:17:17 2019  commencing Lanczos iteration (16 threads)
Thu Jun 06 21:17:17 2019  memory use: 16018.6 MB
Thu Jun 06 21:20:42 2019  linear algebra at 0.0%, ETA 945h 15m
Thu Jun 06 21:21:47 2019  checkpointing every 30000 dimensions 
Thu Jun 21 08:00:00 2019  linear algebra completed 18.805000 of 40.071151 dim (46.9%, ETA 504h)                
                  

-  Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt Beschorner 
   Jun 21, 2019   R459, c221; SNFS-difficult = 306 
                  47M unique relations and 149M unique ideals are collected
                  currently progress ~  6.2%:   

                  
-  Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche, Kurt Beschorner 
   Jun 25, 2019   R1980M, c187; GNFS; the R1980M-polynom was created by Makzym Voznyy in cooperation with mersenneforum - thanks!

Mon Jun 24 20:13:54 2019  Msieve v. 1.53 (SVN unknown)
Mon Jun 24 20:13:54 2019  random seeds: 0a05fc00 60c3c084
Mon Jun 24 20:13:54 2019  factoring 2627672954179104898972911476269358781573649409920273562959163933342905510751546657384479639647502176825955702336694052887643645043557694346564571446575234212208734259860344956682138751781 (187 digits)
Mon Jun 24 20:13:55 2019  searching for 15-digit factors
Mon Jun 24 20:13:56 2019  commencing number field sieve (187-digit input)
Mon Jun 24 20:13:56 2019  R0: -1259493548392042769882906818753681391
Mon Jun 24 20:13:56 2019  R1: 185455710657292401216649
Mon Jun 24 20:13:56 2019  A0: -28220253876416597806317500912112890394748960
Mon Jun 24 20:13:56 2019  A1: 8637713173670125297657030463351350252
Mon Jun 24 20:13:56 2019  A2: 258834671492054099476567919685
Mon Jun 24 20:13:56 2019  A3: -10077804233119133794991
Mon Jun 24 20:13:56 2019  A4: -126114556165846
Mon Jun 24 20:13:56 2019  A5: 1658160
Mon Jun 24 20:13:56 2019  skew 46187559.54, size 3.355e-018, alpha -6.593, combined = 3.728e-014 rroots = 5
Mon Jun 24 20:13:56 2019  
Mon Jun 24 20:13:56 2019  commencing relation filtering
Mon Jun 24 20:13:56 2019  setting target matrix density to 120.0
Mon Jun 24 20:13:56 2019  estimated available RAM is 65214.1 MB
Mon Jun 24 20:13:56 2019  commencing duplicate removal, pass 1
Mon Jun 24 21:57:37 2019  error -11 reading relation 344412467
...
Mon Jun 24 22:01:13 2019  found 27341587 hash collisions in 351677973 relations
Mon Jun 24 22:02:11 2019  commencing duplicate removal, pass 2
Mon Jun 24 22:08:59 2019  found 2009447 duplicates and 349668526 unique relations
Mon Jun 24 22:08:59 2019  memory use: 1321.5 MB
Mon Jun 24 22:08:59 2019  reading ideals above 173080576
Mon Jun 24 22:08:59 2019  commencing singleton removal, initial pass
Mon Jun 24 23:41:19 2019  memory use: 6024.0 MB
Mon Jun 24 23:41:21 2019  reading all ideals from disk
Mon Jun 24 23:41:32 2019  memory use: 6761.5 MB
Mon Jun 24 23:42:22 2019  commencing in-memory singleton removal
Mon Jun 24 23:43:11 2019  begin with 349668526 relations and 315452378 unique ideals
Mon Jun 24 23:54:03 2019  reduce to 213984831 relations and 164814038 ideals in 16 passes
Mon Jun 24 23:54:03 2019  max relations containing the same ideal: 33
Mon Jun 24 23:54:45 2019  reading ideals above 720000
Mon Jun 24 23:54:46 2019  commencing singleton removal, initial pass
Tue Jun 25 01:12:35 2019  memory use: 5512.0 MB
Tue Jun 25 01:12:36 2019  reading all ideals from disk
Tue Jun 25 01:12:53 2019  memory use: 9039.4 MB
Tue Jun 25 01:14:04 2019  keeping 183004578 ideals with weight <= 200, target excess is 1144768
Tue Jun 25 01:15:20 2019  commencing in-memory singleton removal
Tue Jun 25 01:16:10 2019  begin with 213984831 relations and 183004578 unique ideals
...
Tue Jun 25 03:43:35 2019  begin with 73514317 relations and 72281290 unique ideals
Tue Jun 25 03:45:18 2019  reduce to 73514211 relations and 72186280 ideals in 5 passes
Tue Jun 25 03:45:18 2019  max relations containing the same ideal: 104
Tue Jun 25 03:45:45 2019  relations with 0 large ideals: 3856
Tue Jun 25 03:45:45 2019  relations with 1 large ideals: 9461
Tue Jun 25 03:45:45 2019  relations with 2 large ideals: 153633
Tue Jun 25 03:45:45 2019  relations with 3 large ideals: 1182226
Tue Jun 25 03:45:46 2019  relations with 4 large ideals: 4951643
Tue Jun 25 03:45:46 2019  relations with 5 large ideals: 12417947
Tue Jun 25 03:45:46 2019  relations with 6 large ideals: 19413651
Tue Jun 25 03:45:46 2019  relations with 7+ large ideals: 35381794
Tue Jun 25 03:45:46 2019  commencing 2-way merge
Tue Jun 25 03:48:09 2019  reduce to 45391486 relation sets and 44063555 unique ideals
Tue Jun 25 03:48:09 2019  commencing full merge
Tue Jun 25 04:29:55 2019  memory use: 4885.3 MB
Tue Jun 25 04:30:25 2019  found 19994542 cycles, need 19897755
Tue Jun 25 04:30:27 2019  weight of 19897755 cycles is about 2387765118 (120.00/cycle)
Tue Jun 25 04:30:27 2019  distribution of cycle lengths:
Tue Jun 25 04:30:27 2019  1 relations: 1382675
Tue Jun 25 04:30:27 2019  2 relations: 1398846
Tue Jun 25 04:30:28 2019  3 relations: 1538431
Tue Jun 25 04:30:28 2019  4 relations: 1531652
Tue Jun 25 04:30:28 2019  5 relations: 1535979
Tue Jun 25 04:30:28 2019  6 relations: 1489299
Tue Jun 25 04:30:28 2019  7 relations: 1445157
Tue Jun 25 04:30:28 2019  8 relations: 1358167
Tue Jun 25 04:30:28 2019  9 relations: 1246894
Tue Jun 25 04:30:28 2019  10+ relations: 6970655
Tue Jun 25 04:30:28 2019  heaviest cycle: 28 relations
Tue Jun 25 04:32:06 2019  commencing cycle optimization
Tue Jun 25 04:33:46 2019  start with 161451779 relations
Tue Jun 25 04:51:32 2019  pruned 5813027 relations
Tue Jun 25 04:51:32 2019  memory use: 4664.3 MB
Tue Jun 25 04:51:32 2019  distribution of cycle lengths:
Tue Jun 25 04:51:32 2019  1 relations: 1382675
Tue Jun 25 04:51:32 2019  2 relations: 1437139
Tue Jun 25 04:51:32 2019  3 relations: 1599650
Tue Jun 25 04:51:32 2019  4 relations: 1585972
Tue Jun 25 04:51:32 2019  5 relations: 1599320
Tue Jun 25 04:51:32 2019  6 relations: 1543002
Tue Jun 25 04:51:32 2019  7 relations: 1498153
Tue Jun 25 04:51:32 2019  8 relations: 1399213
Tue Jun 25 04:51:33 2019  9 relations: 1281498
Tue Jun 25 04:51:33 2019  10+ relations: 6571133
Tue Jun 25 04:51:33 2019  heaviest cycle: 28 relations
Tue Jun 25 04:54:50 2019  RelProcTime: 31254
Tue Jun 25 04:54:50 2019  elapsed time 08:40:56
Tue Jun 25 04:56:52 2019  
Tue Jun 25 04:56:54 2019  commencing linear algebra
Tue Jun 25 04:56:59 2019  read 19897755 cycles
Tue Jun 25 04:58:53 2019  cycles contain 72572979 unique relations
Tue Jun 25 05:15:58 2019  read 72572979 relations
Tue Jun 25 05:22:08 2019  using 20 quadratic characters above 4294917295
Tue Jun 25 05:29:57 2019  building initial matrix
Tue Jun 25 06:15:00 2019  memory use: 10055.4 MB
Tue Jun 25 06:16:01 2019  read 19897755 cycles
Tue Jun 25 06:16:15 2019  matrix is 19897578 x 19897755 (9491.6 MB) with weight 2875500560 (144.51/col)
Tue Jun 25 06:16:15 2019  sparse part has weight 2249389320 (113.05/col)
Tue Jun 25 06:29:31 2019  filtering completed in 2 passes
Tue Jun 25 06:29:46 2019  matrix is 19895545 x 19895722 (9491.4 MB) with weight 2875410255 (144.52/col)
Tue Jun 25 06:29:46 2019  sparse part has weight 2249365281 (113.06/col)
Tue Jun 25 06:33:49 2019  matrix starts at (0, 0)
Tue Jun 25 06:34:02 2019  matrix is 19895545 x 19895722 (9491.4 MB) with weight 2875410255 (144.52/col)
Tue Jun 25 06:34:02 2019  sparse part has weight 2249365281 (113.06/col)
Tue Jun 25 06:34:02 2019  saving the first 48 matrix rows for later
Tue Jun 25 06:34:16 2019  matrix includes 64 packed rows
Tue Jun 25 06:34:25 2019  matrix is 19895497 x 19895722 (9244.3 MB) with weight 2458287744 (123.56/col)
Tue Jun 25 06:34:25 2019  sparse part has weight 2224377457 (111.80/col)
Tue Jun 25 06:34:25 2019  using block size 8192 and superblock size 1081344 for processor cache size 11264 kB
Tue Jun 25 06:38:32 2019  commencing Lanczos iteration (16 threads)
Tue Jun 25 06:38:32 2019  memory use: 7836.9 MB
Tue Jun 25 06:41:32 2019  linear algebra at 0.0%, ETA ~ 11days 
Tue Jun 25 06:42:27 2019  checkpointing every 40000 dimensions

                 
-  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 
   Jun 16, 2019   n =6140M: 42633651269057784211262036586055241;                   B1= 11e6; sigma = 456257847 


-  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 
   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

   May 01, 2019   n = 3369: 4087010404483958534982337738286521;                    ecm
   May 01, 2019   n = 7585: 15547667944421212418551;                               ecm
   May 01, 2019   n = 7843: 49572320430317139671633561;                            ecm
   May 01, 2019   n = 7921: 15910331774974069031187991;                            ecm
   May 01, 2019   n = 8791: 282714061924913089724670761;                           ecm
   May 01, 2019   n = 9019: 264213269259212217832593757;                           ecm
   May 01, 2019   n =10159: 95389333937877911520788747;                            ecm
   May 01, 2019   n =10313: 170672934111852276268975918307;                        ecm
   May 01, 2019   n =10391: 306883126921945147411270787;                           ecm
   May 01, 2019   n =10669: 4639247039875777205953169;                             ecm
   May 01, 2019   n =11741: 606576554490357081230933;                              ecm
   May 01, 2019   n =12217: 871662968766609227785649;                              ecm
   May 01, 2019   n =12349: 166325386891989774440213720479;                        ecm

   Jun 11, 2019   n = 3013: 54801984828194245177182941528875876754999;             ecm
   Jun 11, 2019   n = 3375: 9928227087054120839404714671321001;                    ecm
   Jun 11, 2019   n = 3763: 33819951029015563544261960393215363;                   ecm
   Jun 11, 2019   n = 4005: 1867328658390232232662140183278161;                    ecm
   Jun 11, 2019   n = 4541: 3490250651625330786758706967866961;                    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 (Jun 12, 2019)
Repunits: R5001 - R7500 (Jun 16, 2019)	Repunits: R7501 - R10000 (Jun 12, 2019)
Repunits: R10001 - R12500 (Jun 12, 2019)	Repunits: R12540LM - R14980LM (Apr 13, 2019)
Visitors since March 09, 2015: besucherzaehler-homepage.de
Factorizations of repunit numbers of the form (10ⁿ-1)/9 (111111...)

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

Related links:

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