Factorizations of Repunit Numbers of the form (10n-1)/9 (111111...)



Related links:

Factor tables of Richard Brent
Jonathan Crombies extensive factor tables
Factordb: Factor tables - Downloads
Repunit factors of Torbjörn Granlund
Factorizations of Repunit numbers of Makoto Kamada
Factor tables of Yousuke Koide
Factor tables of Sam Wagstaff
The Ecmnet of Paul Zimmermann
__________________________________________________________________________

Contributions of new factors are welcome - email:




ECM EFFORTS
with Rn:      323 < n < 2000 (Mar 30, 2017) with Rn:     1999 < n < 3000 (Sep 21, 2016)
with Rn:    2999 < n < 4000 (Jan 15, 2017) with Rn:     3999 < n < 6000 (Mar 21, 2017)



Efforts by   yoyo@home:    ecm-curves
B1 = 43e6/6400 curves/
numbers < 1001 digits
823
working
863
working
1177
working
1183
working
1191
working
B1 = 11e7/13500 curves/
numbers < 601 digits
815
working
831
working
1168
working
1173
working
1174
working
B1 = 26e7/32000 curves/
numbers < 410 digits
407
working
1136
working
1142
working
1160
working
2380M
working
B1 = 85e7/52000 curves/
numbers < 225 digits
477
working
1155
working
2420L
working
2460L
working
 



News

  
 
- Last update: Mar 30, 2017   
    

- Maksym Voznyy/Wenjie Fang/Alfred Eichhorn/Kurt Beschorner
  
   Mar 30, 2017   R2700M/c197: postprocessing 
                  7M of 36.7M dimensions are done; ETA 866h
Sun Mar 19 21:31:50 2017  Msieve v. 1.53 (SVN unknown)
Sun Mar 19 21:31:50 2017  random seeds: d5fd81e8 845709ec
Sun Mar 19 21:31:50 2017  factoring 21280448635641401486510328517762590351439943598811358399598640553251953298510470654192816204660487515323060809477098730957626872339454764912971353172625018532645381873729423451499961548344338111901 (197 digits)
Sun Mar 19 21:31:54 2017  searching for 15-digit factors
Sun Mar 19 21:32:02 2017  commencing number field sieve (197-digit input)
Sun Mar 19 21:32:02 2017  R0: -141926621190523315691802832773008516012
Sun Mar 19 21:32:02 2017  R1: 439743569127268499611
Sun Mar 19 21:32:02 2017  A0: -10032328728724823749690366080982188506588101242
Sun Mar 19 21:32:02 2017  A1: -66162403300993622159317666900858130373
Sun Mar 19 21:32:02 2017  A2: 22530084996917784842410009033582
Sun Mar 19 21:32:02 2017  A3: 57740789299954457602329
Sun Mar 19 21:32:02 2017  A4: -3448665872840304
Sun Mar 19 21:32:02 2017  A5: -739080
Sun Mar 19 21:32:02 2017  skew 90613729.88, size 1.998e-019, alpha -5.962, combined = 6.292e-015 rroots = 5
Sun Mar 19 21:32:02 2017  
Sun Mar 19 21:32:02 2017  commencing relation filtering
Sun Mar 19 21:32:02 2017  setting target matrix density to 130.0
Sun Mar 19 21:32:02 2017  estimated available RAM is 49069.6 MB
Sun Mar 19 21:32:02 2017  commencing duplicate removal, pass 1
Mon Mar 20 01:50:55 2017  skipped 338 relations with composite factors
Mon Mar 20 01:50:55 2017  found 106372367 hash collisions in 742393138 relations
Mon Mar 20 01:52:01 2017  commencing duplicate removal, pass 2
Mon Mar 20 02:05:06 2017  found 6586207 duplicates and 735806931 unique relations
Mon Mar 20 02:05:06 2017  memory use: 4262.0 MB
Mon Mar 20 02:05:06 2017  reading ideals above 394854400
Mon Mar 20 02:05:06 2017  commencing singleton removal, initial pass
Mon Mar 20 05:25:56 2017  memory use: 11024.0 MB
Mon Mar 20 05:25:57 2017  reading all ideals from disk
Mon Mar 20 05:26:10 2017  memory use: 14130.3 MB
Mon Mar 20 05:27:57 2017  commencing in-memory singleton removal
Mon Mar 20 05:29:44 2017  begin with 735806931 relations and 623478442 unique ideals
Mon Mar 20 05:50:13 2017  reduce to 499181801 relations and 364689790 ideals in 14 passes
Mon Mar 20 05:50:13 2017  max relations containing the same ideal: 38
Mon Mar 20 05:51:57 2017  reading ideals above 720000
Mon Mar 20 05:51:59 2017  commencing singleton removal, initial pass
Mon Mar 20 08:44:58 2017  memory use: 11024.0 MB
Mon Mar 20 08:44:59 2017  reading all ideals from disk
Mon Mar 20 08:45:21 2017  memory use: 22195.1 MB
Mon Mar 20 08:48:12 2017  keeping 404205117 ideals with weight <= 200, target excess is 2637998
Mon Mar 20 08:51:11 2017  commencing in-memory singleton removal
Mon Mar 20 08:53:20 2017  begin with 499181801 relations and 404205117 unique ideals
Mon Mar 20 09:06:53 2017  reduce to 499181417 relations and 404204733 ideals in 5 passes
Mon Mar 20 09:06:53 2017  max relations containing the same ideal: 200
Mon Mar 20 09:16:02 2017  removing 14711062 relations and 12720077 ideals in 2000000 cliques
Mon Mar 20 09:16:14 2017  commencing in-memory singleton removal
Mon Mar 20 09:18:14 2017  begin with 484470355 relations and 404204733 unique ideals
Mon Mar 20 09:39:12 2017  reduce to 484132690 relations and 391154073 ideals in 8 passes
Mon Mar 20 09:39:12 2017  max relations containing the same ideal: 200
Mon Mar 20 09:48:04 2017  removing 11165242 relations and 9165242 ideals in 2000000 cliques
Mon Mar 20 09:48:15 2017  commencing in-memory singleton removal
Mon Mar 20 09:50:13 2017  begin with 472967448 relations and 391154073 unique ideals
Mon Mar 20 10:08:06 2017  reduce to 472764398 relations and 381784778 ideals in 7 passes
Mon Mar 20 10:08:06 2017  max relations containing the same ideal: 199
Mon Mar 20 10:16:47 2017  removing 9981719 relations and 7981719 ideals in 2000000 cliques
Mon Mar 20 10:16:57 2017  commencing in-memory singleton removal
Mon Mar 20 10:18:52 2017  begin with 462782679 relations and 381784778 unique ideals
Mon Mar 20 10:36:23 2017  reduce to 462612564 relations and 373632155 ideals in 7 passes
Mon Mar 20 10:36:23 2017  max relations containing the same ideal: 198
Mon Mar 20 10:44:52 2017  removing 9318840 relations and 7318840 ideals in 2000000 cliques
Mon Mar 20 10:45:02 2017  commencing in-memory singleton removal
Mon Mar 20 10:46:55 2017  begin with 453293724 relations and 373632155 unique ideals
Mon Mar 20 11:04:06 2017  reduce to 453140629 relations and 366159542 ideals in 7 passes
Mon Mar 20 11:04:06 2017  max relations containing the same ideal: 197
Mon Mar 20 11:12:27 2017  removing 8861483 relations and 6861483 ideals in 2000000 cliques
Mon Mar 20 11:12:36 2017  commencing in-memory singleton removal
Mon Mar 20 11:14:28 2017  begin with 444279146 relations and 366159542 unique ideals
Mon Mar 20 11:31:13 2017  reduce to 444136910 relations and 359155179 ideals in 7 passes
Mon Mar 20 11:31:13 2017  max relations containing the same ideal: 195
Mon Mar 20 11:39:22 2017  removing 8523221 relations and 6523221 ideals in 2000000 cliques
Mon Mar 20 11:39:31 2017  commencing in-memory singleton removal
Mon Mar 20 11:41:17 2017  begin with 435613689 relations and 359155179 unique ideals
Mon Mar 20 11:57:32 2017  reduce to 435478667 relations and 352496334 ideals in 7 passes
Mon Mar 20 11:57:32 2017  max relations containing the same ideal: 193
Mon Mar 20 12:05:26 2017  removing 8269135 relations and 6269135 ideals in 2000000 cliques
Mon Mar 20 12:05:36 2017  commencing in-memory singleton removal
Mon Mar 20 12:07:21 2017  begin with 427209532 relations and 352496334 unique ideals
Mon Mar 20 12:23:16 2017  reduce to 427079302 relations and 346096412 ideals in 7 passes
Mon Mar 20 12:23:16 2017  max relations containing the same ideal: 191
Mon Mar 20 12:30:59 2017  removing 8059867 relations and 6059867 ideals in 2000000 cliques
Mon Mar 20 12:31:09 2017  commencing in-memory singleton removal
Mon Mar 20 12:32:53 2017  begin with 419019435 relations and 346096412 unique ideals
Mon Mar 20 12:46:12 2017  reduce to 418892851 relations and 339909401 ideals in 6 passes
Mon Mar 20 12:46:12 2017  max relations containing the same ideal: 189
Mon Mar 20 12:53:53 2017  removing 7893601 relations and 5893601 ideals in 2000000 cliques
Mon Mar 20 12:54:02 2017  commencing in-memory singleton removal
Mon Mar 20 12:55:44 2017  begin with 410999250 relations and 339909401 unique ideals
Mon Mar 20 13:10:57 2017  reduce to 410874637 relations and 333890616 ideals in 7 passes
Mon Mar 20 13:10:57 2017  max relations containing the same ideal: 187
Mon Mar 20 13:18:27 2017  removing 7747191 relations and 5747191 ideals in 2000000 cliques
Mon Mar 20 13:18:35 2017  commencing in-memory singleton removal
Mon Mar 20 13:20:14 2017  begin with 403127446 relations and 333890616 unique ideals
Mon Mar 20 13:33:00 2017  reduce to 403005392 relations and 328020791 ideals in 6 passes
Mon Mar 20 13:33:00 2017  max relations containing the same ideal: 185
Mon Mar 20 13:40:22 2017  removing 7631354 relations and 5631354 ideals in 2000000 cliques
Mon Mar 20 13:40:31 2017  commencing in-memory singleton removal
Mon Mar 20 13:42:08 2017  begin with 395374038 relations and 328020791 unique ideals
Mon Mar 20 13:54:40 2017  reduce to 395253783 relations and 322268565 ideals in 6 passes
Mon Mar 20 13:54:40 2017  max relations containing the same ideal: 182
Mon Mar 20 14:01:51 2017  removing 7529271 relations and 5529271 ideals in 2000000 cliques
Mon Mar 20 14:02:00 2017  commencing in-memory singleton removal
Mon Mar 20 14:03:34 2017  begin with 387724512 relations and 322268565 unique ideals
Mon Mar 20 14:15:49 2017  reduce to 387603535 relations and 316617731 ideals in 6 passes
Mon Mar 20 14:15:49 2017  max relations containing the same ideal: 180
Mon Mar 20 14:22:38 2017  removing 7443112 relations and 5443112 ideals in 2000000 cliques
Mon Mar 20 14:22:46 2017  commencing in-memory singleton removal
Mon Mar 20 14:24:12 2017  begin with 380160423 relations and 316617731 unique ideals
Mon Mar 20 14:37:42 2017  reduce to 380039739 relations and 311053342 ideals in 7 passes
Mon Mar 20 14:37:42 2017  max relations containing the same ideal: 179
Mon Mar 20 14:44:37 2017  removing 7366171 relations and 5366171 ideals in 2000000 cliques
Mon Mar 20 14:44:45 2017  commencing in-memory singleton removal
Mon Mar 20 14:46:14 2017  begin with 372673568 relations and 311053342 unique ideals
Mon Mar 20 14:57:56 2017  reduce to 372553417 relations and 305566395 ideals in 6 passes
Mon Mar 20 14:57:56 2017  max relations containing the same ideal: 176
Mon Mar 20 15:04:42 2017  removing 7306986 relations and 5306986 ideals in 2000000 cliques
Mon Mar 20 15:04:50 2017  commencing in-memory singleton removal
Mon Mar 20 15:06:17 2017  begin with 365246431 relations and 305566395 unique ideals
Mon Mar 20 15:17:40 2017  reduce to 365126522 relations and 300138814 ideals in 6 passes
Mon Mar 20 15:17:40 2017  max relations containing the same ideal: 174
Mon Mar 20 15:24:17 2017  removing 7250171 relations and 5250171 ideals in 2000000 cliques
Mon Mar 20 15:24:25 2017  commencing in-memory singleton removal
Mon Mar 20 15:25:52 2017  begin with 357876351 relations and 300138814 unique ideals
Mon Mar 20 15:37:01 2017  reduce to 357754676 relations and 294766264 ideals in 6 passes
Mon Mar 20 15:37:01 2017  max relations containing the same ideal: 173
Mon Mar 20 15:43:31 2017  removing 7200337 relations and 5200337 ideals in 2000000 cliques
Mon Mar 20 15:43:39 2017  commencing in-memory singleton removal
Mon Mar 20 15:45:02 2017  begin with 350554339 relations and 294766264 unique ideals
Mon Mar 20 15:55:52 2017  reduce to 350432078 relations and 289443008 ideals in 6 passes
Mon Mar 20 15:55:52 2017  max relations containing the same ideal: 172
Mon Mar 20 16:02:11 2017  removing 7164954 relations and 5164954 ideals in 2000000 cliques
Mon Mar 20 16:02:19 2017  commencing in-memory singleton removal
Mon Mar 20 16:03:39 2017  begin with 343267124 relations and 289443008 unique ideals
Mon Mar 20 16:14:16 2017  reduce to 343144340 relations and 284154507 ideals in 6 passes
Mon Mar 20 16:14:16 2017  max relations containing the same ideal: 171
Mon Mar 20 16:20:27 2017  removing 7130619 relations and 5130619 ideals in 2000000 cliques
Mon Mar 20 16:20:34 2017  commencing in-memory singleton removal
Mon Mar 20 16:21:50 2017  begin with 336013721 relations and 284154507 unique ideals
Mon Mar 20 16:31:43 2017  reduce to 335888755 relations and 278898103 ideals in 6 passes
Mon Mar 20 16:31:43 2017  max relations containing the same ideal: 168
Mon Mar 20 16:37:45 2017  removing 7101840 relations and 5101840 ideals in 2000000 cliques
Mon Mar 20 16:37:52 2017  commencing in-memory singleton removal
Mon Mar 20 16:39:08 2017  begin with 328786915 relations and 278898103 unique ideals
Mon Mar 20 16:49:11 2017  reduce to 328661040 relations and 273669596 ideals in 6 passes
Mon Mar 20 16:49:11 2017  max relations containing the same ideal: 166
Mon Mar 20 16:54:55 2017  removing 7078261 relations and 5078261 ideals in 2000000 cliques
Mon Mar 20 16:55:02 2017  commencing in-memory singleton removal
Mon Mar 20 16:56:19 2017  begin with 321582779 relations and 273669596 unique ideals
Mon Mar 20 17:06:05 2017  reduce to 321455409 relations and 268463155 ideals in 6 passes
Mon Mar 20 17:06:05 2017  max relations containing the same ideal: 162
Mon Mar 20 17:11:50 2017  removing 7059430 relations and 5059430 ideals in 2000000 cliques
Mon Mar 20 17:11:57 2017  commencing in-memory singleton removal
Mon Mar 20 17:13:10 2017  begin with 314395979 relations and 268463155 unique ideals
Mon Mar 20 17:24:14 2017  reduce to 314266356 relations and 263273216 ideals in 7 passes
Mon Mar 20 17:24:14 2017  max relations containing the same ideal: 160
Mon Mar 20 17:29:53 2017  removing 7046383 relations and 5046383 ideals in 2000000 cliques
Mon Mar 20 17:30:00 2017  commencing in-memory singleton removal
Mon Mar 20 17:31:08 2017  begin with 307219973 relations and 263273216 unique ideals
Mon Mar 20 17:41:57 2017  reduce to 307086772 relations and 258092686 ideals in 7 passes
Mon Mar 20 17:41:57 2017  max relations containing the same ideal: 158
Mon Mar 20 17:47:27 2017  removing 7032505 relations and 5032505 ideals in 2000000 cliques
Mon Mar 20 17:47:34 2017  commencing in-memory singleton removal
Mon Mar 20 17:48:43 2017  begin with 300054267 relations and 258092686 unique ideals
Mon Mar 20 17:59:12 2017  reduce to 299919933 relations and 252924858 ideals in 7 passes
Mon Mar 20 17:59:12 2017  max relations containing the same ideal: 154
Mon Mar 20 18:04:31 2017  removing 7027165 relations and 5027165 ideals in 2000000 cliques
Mon Mar 20 18:04:38 2017  commencing in-memory singleton removal
Mon Mar 20 18:05:45 2017  begin with 292892768 relations and 252924858 unique ideals
Mon Mar 20 18:14:28 2017  reduce to 292754381 relations and 247758281 ideals in 6 passes
Mon Mar 20 18:14:28 2017  max relations containing the same ideal: 150
Mon Mar 20 18:19:41 2017  removing 7024187 relations and 5024187 ideals in 2000000 cliques
Mon Mar 20 18:19:47 2017  commencing in-memory singleton removal
Mon Mar 20 18:20:51 2017  begin with 285730194 relations and 247758281 unique ideals
Mon Mar 20 18:29:21 2017  reduce to 285588751 relations and 242591628 ideals in 6 passes
Mon Mar 20 18:29:21 2017  max relations containing the same ideal: 149
Mon Mar 20 18:34:24 2017  removing 7026701 relations and 5026701 ideals in 2000000 cliques
Mon Mar 20 18:34:31 2017  commencing in-memory singleton removal
Mon Mar 20 18:35:31 2017  begin with 278562050 relations and 242591628 unique ideals
Mon Mar 20 18:43:45 2017  reduce to 278416961 relations and 237418753 ideals in 6 passes
Mon Mar 20 18:43:45 2017  max relations containing the same ideal: 146
Mon Mar 20 18:48:40 2017  removing 7032790 relations and 5032790 ideals in 2000000 cliques
Mon Mar 20 18:48:47 2017  commencing in-memory singleton removal
Mon Mar 20 18:49:47 2017  begin with 271384171 relations and 237418753 unique ideals
Mon Mar 20 18:57:41 2017  reduce to 271236218 relations and 232236877 ideals in 6 passes
Mon Mar 20 18:57:41 2017  max relations containing the same ideal: 143
Mon Mar 20 19:02:28 2017  removing 7044755 relations and 5044755 ideals in 2000000 cliques
Mon Mar 20 19:02:34 2017  commencing in-memory singleton removal
Mon Mar 20 19:03:29 2017  begin with 264191463 relations and 232236877 unique ideals
Mon Mar 20 19:11:14 2017  reduce to 264038822 relations and 227038224 ideals in 6 passes
Mon Mar 20 19:11:14 2017  max relations containing the same ideal: 140
Mon Mar 20 19:15:52 2017  removing 7058020 relations and 5058020 ideals in 2000000 cliques
Mon Mar 20 19:15:58 2017  commencing in-memory singleton removal
Mon Mar 20 19:16:55 2017  begin with 256980802 relations and 227038224 unique ideals
Mon Mar 20 19:25:37 2017  reduce to 256824285 relations and 221822419 ideals in 7 passes
Mon Mar 20 19:25:37 2017  max relations containing the same ideal: 138
Mon Mar 20 19:30:08 2017  removing 7071295 relations and 5071295 ideals in 2000000 cliques
Mon Mar 20 19:30:15 2017  commencing in-memory singleton removal
Mon Mar 20 19:31:09 2017  begin with 249752990 relations and 221822419 unique ideals
Mon Mar 20 19:38:15 2017  reduce to 249591754 relations and 216588566 ideals in 6 passes
Mon Mar 20 19:38:15 2017  max relations containing the same ideal: 136
Mon Mar 20 19:42:27 2017  removing 7094231 relations and 5094231 ideals in 2000000 cliques
Mon Mar 20 19:42:33 2017  commencing in-memory singleton removal
Mon Mar 20 19:43:26 2017  begin with 242497523 relations and 216588566 unique ideals
Mon Mar 20 19:50:24 2017  reduce to 242329175 relations and 211324589 ideals in 6 passes
Mon Mar 20 19:50:24 2017  max relations containing the same ideal: 135
Mon Mar 20 19:54:40 2017  removing 7115104 relations and 5115104 ideals in 2000000 cliques
Mon Mar 20 19:54:46 2017  commencing in-memory singleton removal
Mon Mar 20 19:55:36 2017  begin with 235214071 relations and 211324589 unique ideals
Mon Mar 20 20:03:25 2017  reduce to 235040052 relations and 206033940 ideals in 7 passes
Mon Mar 20 20:03:25 2017  max relations containing the same ideal: 132
Mon Mar 20 20:07:32 2017  removing 7144107 relations and 5144107 ideals in 2000000 cliques
Mon Mar 20 20:07:38 2017  commencing in-memory singleton removal
Mon Mar 20 20:08:25 2017  begin with 227895945 relations and 206033940 unique ideals
Mon Mar 20 20:14:52 2017  reduce to 227715699 relations and 200708043 ideals in 6 passes
Mon Mar 20 20:14:52 2017  max relations containing the same ideal: 130
Mon Mar 20 20:18:53 2017  removing 7181436 relations and 5181436 ideals in 2000000 cliques
Mon Mar 20 20:18:58 2017  commencing in-memory singleton removal
Mon Mar 20 20:19:44 2017  begin with 220534263 relations and 200708043 unique ideals
Mon Mar 20 20:26:58 2017  reduce to 220346361 relations and 195336987 ideals in 7 passes
Mon Mar 20 20:26:58 2017  max relations containing the same ideal: 128
Mon Mar 20 20:30:51 2017  removing 7218704 relations and 5218704 ideals in 2000000 cliques
Mon Mar 20 20:30:57 2017  commencing in-memory singleton removal
Mon Mar 20 20:31:41 2017  begin with 213127657 relations and 195336987 unique ideals
Mon Mar 20 20:38:38 2017  reduce to 212931076 relations and 189919856 ideals in 7 passes
Mon Mar 20 20:38:38 2017  max relations containing the same ideal: 122
Mon Mar 20 20:42:21 2017  removing 7271963 relations and 5271963 ideals in 2000000 cliques
Mon Mar 20 20:42:27 2017  commencing in-memory singleton removal
Mon Mar 20 20:43:09 2017  begin with 205659113 relations and 189919856 unique ideals
Mon Mar 20 20:50:41 2017  reduce to 205453557 relations and 184440475 ideals in 8 passes
Mon Mar 20 20:50:41 2017  max relations containing the same ideal: 118
Mon Mar 20 20:54:17 2017  removing 7319100 relations and 5319100 ideals in 2000000 cliques
Mon Mar 20 20:54:22 2017  commencing in-memory singleton removal
Mon Mar 20 20:55:03 2017  begin with 198134457 relations and 184440475 unique ideals
Mon Mar 20 21:00:30 2017  reduce to 197919539 relations and 178904309 ideals in 6 passes
Mon Mar 20 21:00:30 2017  max relations containing the same ideal: 116
Mon Mar 20 21:03:57 2017  removing 7387710 relations and 5387710 ideals in 2000000 cliques
Mon Mar 20 21:04:03 2017  commencing in-memory singleton removal
Mon Mar 20 21:04:40 2017  begin with 190531829 relations and 178904309 unique ideals
Mon Mar 20 21:09:49 2017  reduce to 190303537 relations and 173286094 ideals in 6 passes
Mon Mar 20 21:09:49 2017  max relations containing the same ideal: 114
Mon Mar 20 21:13:04 2017  removing 7454923 relations and 5454923 ideals in 2000000 cliques
Mon Mar 20 21:13:09 2017  commencing in-memory singleton removal
Mon Mar 20 21:13:45 2017  begin with 182848614 relations and 173286094 unique ideals
Mon Mar 20 21:18:38 2017  reduce to 182607285 relations and 167587471 ideals in 6 passes
Mon Mar 20 21:18:38 2017  max relations containing the same ideal: 110
Mon Mar 20 21:21:48 2017  removing 7533611 relations and 5533611 ideals in 2000000 cliques
Mon Mar 20 21:21:53 2017  commencing in-memory singleton removal
Mon Mar 20 21:22:29 2017  begin with 175073674 relations and 167587471 unique ideals
Mon Mar 20 21:27:56 2017  reduce to 174816921 relations and 161794386 ideals in 7 passes
Mon Mar 20 21:27:56 2017  max relations containing the same ideal: 105
Mon Mar 20 21:30:56 2017  removing 7625771 relations and 5625771 ideals in 2000000 cliques
Mon Mar 20 21:31:01 2017  commencing in-memory singleton removal
Mon Mar 20 21:31:35 2017  begin with 167191150 relations and 161794386 unique ideals
Mon Mar 20 21:36:40 2017  reduce to 166915311 relations and 155889883 ideals in 7 passes
Mon Mar 20 21:36:40 2017  max relations containing the same ideal: 102
Mon Mar 20 21:39:33 2017  removing 7730812 relations and 5730812 ideals in 2000000 cliques
Mon Mar 20 21:39:38 2017  commencing in-memory singleton removal
Mon Mar 20 21:40:08 2017  begin with 159184499 relations and 155889883 unique ideals
Mon Mar 20 21:44:16 2017  reduce to 158887584 relations and 149858963 ideals in 6 passes
Mon Mar 20 21:44:16 2017  max relations containing the same ideal: 100
Mon Mar 20 21:47:00 2017  removing 7847272 relations and 5847272 ideals in 2000000 cliques
Mon Mar 20 21:47:04 2017  commencing in-memory singleton removal
Mon Mar 20 21:47:30 2017  begin with 151040312 relations and 149858963 unique ideals
Mon Mar 20 21:52:02 2017  reduce to 150718312 relations and 143686010 ideals in 7 passes
Mon Mar 20 21:52:02 2017  max relations containing the same ideal: 98
Mon Mar 20 21:54:36 2017  removing 7980654 relations and 5980654 ideals in 2000000 cliques
Mon Mar 20 21:54:41 2017  commencing in-memory singleton removal
Mon Mar 20 21:55:07 2017  begin with 142737658 relations and 143686010 unique ideals
Mon Mar 20 21:59:18 2017  reduce to 142383911 relations and 137347588 ideals in 7 passes
Mon Mar 20 21:59:18 2017  max relations containing the same ideal: 97
Mon Mar 20 22:01:43 2017  removing 8058065 relations and 6081820 ideals in 1976245 cliques
Mon Mar 20 22:01:48 2017  commencing in-memory singleton removal
Mon Mar 20 22:02:12 2017  begin with 134325846 relations and 137347588 unique ideals
Mon Mar 20 22:06:39 2017  reduce to 133939759 relations and 130875065 ideals in 8 passes
Mon Mar 20 22:06:39 2017  max relations containing the same ideal: 92
Mon Mar 20 22:09:16 2017  relations with 0 large ideals: 9210
Mon Mar 20 22:09:16 2017  relations with 1 large ideals: 38247
Mon Mar 20 22:09:16 2017  relations with 2 large ideals: 560540
Mon Mar 20 22:09:16 2017  relations with 3 large ideals: 3645305
Mon Mar 20 22:09:16 2017  relations with 4 large ideals: 12832919
Mon Mar 20 22:09:16 2017  relations with 5 large ideals: 27126649
Mon Mar 20 22:09:16 2017  relations with 6 large ideals: 36104520
Mon Mar 20 22:09:16 2017  relations with 7+ large ideals: 53622369
Mon Mar 20 22:09:16 2017  commencing 2-way merge
Mon Mar 20 22:12:27 2017  reduce to 84701604 relation sets and 81636910 unique ideals
Mon Mar 20 22:12:27 2017  commencing full merge
Mon Mar 20 23:08:57 2017  memory use: 9708.4 MB
Mon Mar 20 23:09:28 2017  found 36965722 cycles, need 36741110
Mon Mar 20 23:09:32 2017  weight of 36741110 cycles is about 4776633381 (130.01/cycle)
Mon Mar 20 23:09:32 2017  distribution of cycle lengths:
Mon Mar 20 23:09:32 2017  1 relations: 2506464
Mon Mar 20 23:09:32 2017  2 relations: 2337599
Mon Mar 20 23:09:32 2017  3 relations: 2486291
Mon Mar 20 23:09:32 2017  4 relations: 2515204
Mon Mar 20 23:09:32 2017  5 relations: 2615323
Mon Mar 20 23:09:32 2017  6 relations: 2583004
Mon Mar 20 23:09:32 2017  7 relations: 2563677
Mon Mar 20 23:09:32 2017  8 relations: 2461209
Mon Mar 20 23:09:32 2017  9 relations: 2346859
Mon Mar 20 23:09:32 2017  10+ relations: 14325480
Mon Mar 20 23:09:32 2017  heaviest cycle: 28 relations
Mon Mar 20 23:13:13 2017  commencing cycle optimization
Mon Mar 20 23:16:06 2017  start with 315653596 relations
Mon Mar 20 23:42:50 2017  pruned 13760271 relations
Mon Mar 20 23:42:51 2017  memory use: 8706.9 MB
Mon Mar 20 23:42:51 2017  distribution of cycle lengths:
Mon Mar 20 23:42:51 2017  1 relations: 2506464
Mon Mar 20 23:42:51 2017  2 relations: 2402992
Mon Mar 20 23:42:51 2017  3 relations: 2590910
Mon Mar 20 23:42:51 2017  4 relations: 2619939
Mon Mar 20 23:42:51 2017  5 relations: 2739807
Mon Mar 20 23:42:51 2017  6 relations: 2704154
Mon Mar 20 23:42:51 2017  7 relations: 2691211
Mon Mar 20 23:42:51 2017  8 relations: 2576306
Mon Mar 20 23:42:51 2017  9 relations: 2451235
Mon Mar 20 23:42:51 2017  10+ relations: 13458092
Mon Mar 20 23:42:51 2017  heaviest cycle: 28 relations
Mon Mar 20 23:48:14 2017  RelProcTime: 94572
Mon Mar 20 23:48:14 2017  
Mon Mar 20 23:48:14 2017  commencing linear algebra
Mon Mar 20 23:48:41 2017  read 36741110 cycles
Mon Mar 20 23:51:18 2017  cycles contain 132172923 unique relations
Tue Mar 21 00:26:53 2017  read 132172923 relations
Tue Mar 21 00:34:51 2017  using 20 quadratic characters above 4294917295
Tue Mar 21 00:47:29 2017  building initial matrix
Tue Mar 21 01:51:59 2017  memory use: 18367.0 MB
Tue Mar 21 01:55:25 2017  read 36741110 cycles
Tue Mar 21 01:55:44 2017  matrix is 36740933 x 36741110 (18484.1 MB) with weight 5552549895 (151.13/col)
Tue Mar 21 01:55:44 2017  sparse part has weight 4441333643 (120.88/col)
Tue Mar 21 02:14:14 2017  filtering completed in 2 passes
Tue Mar 21 02:14:33 2017  matrix is 36739362 x 36739539 (18483.9 MB) with weight 5552479490 (151.13/col)
Tue Mar 21 02:14:33 2017  sparse part has weight 4441312238 (120.89/col)
Tue Mar 21 02:24:16 2017  matrix starts at (0, 0)
Tue Mar 21 02:24:35 2017  matrix is 36739362 x 36739539 (18483.9 MB) with weight 5552479490 (151.13/col)
Tue Mar 21 02:24:35 2017  sparse part has weight 4441312238 (120.89/col)
Tue Mar 21 02:24:35 2017  saving the first 48 matrix rows for later
Tue Mar 21 02:24:58 2017  matrix includes 64 packed rows
Tue Mar 21 02:25:08 2017  matrix is 36739314 x 36739539 (18051.8 MB) with weight 4801336528 (130.69/col)
Tue Mar 21 02:25:08 2017  sparse part has weight 4364771360 (118.80/col)
Tue Mar 21 02:25:08 2017  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Tue Mar 21 02:34:52 2017  commencing Lanczos iteration (12 threads)
Tue Mar 21 02:34:52 2017  memory use: 15680.2 MB
Tue Mar 21 02:38:51 2017  linear algebra at 0.0%, ETA 1534h47m
Tue Mar 21 02:40:07 2017  checkpointing every 30000 dimensions


-  Alfred Eichhorn, Bo Chen, Wenjie Fang, Kurt Beschorner)
  
   Dec 18, 2016   R1030 /c199: next GNFS-number   


- Bo Chen/Wenjie Fang/Alfred Reich/Alfred Eichhorn/Maksym Voznyy/Kurt Beschorner
  

   Sep 02, 2016   n =  343: 108164182562832081427746076140676111780117904145681235787387789905399551977213797293596351; SNFS
                  see: http://blog.sina.com.cn/s/blog_571ae3fa0102vxmi.html



- Found by Alfred Eichhorn

   Nov 02, 2016   n =55399: 2288856241024717845347 * 2096079066......c55358;      B1=11e3; sigma = 2794405507697790298
                            P22: P-1: 2 * 55399 * 20657920188313127 
                                 P+1: 2^2 * 3^3 * 7 * 59 * 1597 * 37061 * 867007111 
   Nov 06, 2016   n =55889: 22725551385595799107 * 4889259196......c55869;        B1=11e3; sigma = 12720872794617635669
                            P20: P-1: 2 * 3 * 47 * 1033 * 55889 * 1395849709  
                                 P+1: 2^2 * 79 * 557 * 129113647851259 
   Nov 06, 2016   n =77867: 12146261490914239566523 * 9147762148......c77844;     B1=2e3;  sigma = 9656516878805326347
                            P23: P-1: 2 * 3^2 * 23 * 907 * 77867 * 415414408267
                                 P+1: 2^2 * 19 * 29 * 5081 * 1084630571932001
   Nov 12, 2016   n =80657: 290433298476811653481 * 2158763957......c80615;       B1=2e3;  sigma = 0:10596707231362242639
                            P21: P-1: 2^3 * 3 * 5 * 37 * 2671 * 80657 * 303631961
                                 P+1: 2 * 11 * 70858519 * 186308065049                             
   Nov 16, 2016   n =31567: 271696556465943213043 * 4089529604......c31546;       B1=5e4;  sigma = +1:187854045
                            P21: P-1: 2 * 3^3 * 31567 * 159388529550869 
                                 P+1: 2^2 * 11 * 53 * 499067 * 233451535201   
   Nov 22, 2016   n =86381: 221330036551319831 * 5020155096......c86363;          B1=2e3
   Dec 13, 2016   n =13249: 235776211320185158170191317 * 4712566653......c13222; B1=5e4;  sigma = 9542296105151275273
                            P27: P-1: 2^2 * 3 * 31 * 41 * 13249 * 91591 * 12739057190887  
                                 P+1: 2 * 20129 * 5856630019379630338571 
   Dec 20, 2016   n =13627: 359796365667718210326515597 * 3088166577......c13600; B1=5e4;  sigma = 7062721891012061639
                            P27: P-1: 2^2 * 11 * 17^3 * 67 * 13627 * 9505523 * 191781299 
                                 P+1: 2 * 3^2 * 28087 * 711670416261612154153                              
   Jan 04, 2017   n =58403: 349901976019410187871 * 3175492530......c58382;       B1=11e3;  sigma = 850129479292211410
                            P21: P-1: 2 * 5 * 7 * 41 * 541 * 58403 * 3858620587 
                                 P+1: 2^5 * 3 * 3644812250202189457   
   Feb 07, 2017   n =14887: 265346099833581426789561347 * 4187403213......c14860; B1=5e4;  sigma = 0:4264581995694175407
                            P27: P-1: 2 * 14887 * 94249995529 * 94557109151 
                                 P+1: 2^2 * 3^2 * 7^2 * 829 * 5813 * 1077203 * 28977553747 
   Feb 07, 2017   n =42853: 1709697603212325692351 * 2143977497......c42811;      B1=5e4;  sigma = 1:2258062935
                            P22: P-1: 2 * 5^2 * 7 * 11 * 37 * 42853 * 280075821451
                                 P+1: 2^6 * 3^3 * 17 * 73 * 32327 * 24662572787 
   Feb 17, 2017   n =15467: 4798863638871944993312109773 * 2315362958......c15439; B1=5e4; sigma = 15935381176709801687
                            P28: P-1: 2^2 * 13 * 479 * 15467 * 4535891 * 2746191744497 
                                 P+1: 2 * 3 * 7297 * 109608141219495340398157 
   Feb 17, 2017   n =60757: 9773446954007099959 * 1136867183......c60738;          B1=11e3

   Mar 04, 2017   n =45757: 3258908276424840215921281 * 3409458066......c45732;    B1=5e4; sigma = 1:2360011616
                            P25: P-1: 2^7 * 3 * 5 * 45757 * 37094828346218887  
                                 P+1: 2 * 59 * 33360542203 * 827860248233 
   Mar 20, 2017   n =62311: 4174910602005874095929 * 2661400966......c62289;       B1=11e3;  sigma = 0:2757579517291006018
                            P22: P-1: 2^3 * 181 * 62311 * 46271533980701 
                            P+1: 2 * 3 * 5 * 3121543 * 44581697812117  
                                  

- Found by  NFS@home  

   Dec 15, 2016   n =  650: 515598058349426893425512324539506997710608203280700351680904729473604464893512426851; GNFS  
   congratulations
   Mar 16, 2016   n =  604: 188981422179250214477885038956646476812007525220846625175628245017547495717341304519447280552146559165713534073382085460954497219653965265520569; SNFS  
   congratulations


- Found by Alfred Reich 

   Oct 08, 2016   n = 7494: 4695948608569732308219433681 
                            P28: P-1: 2^4 * 3 * 5 * 7 * 19 * 167 * 179 * 1249 * 3940292955710747
                            P+1: 2 * 2347974304284866154109716841  


- Found by YOYO@home

   Bodao      
   Sep 03, 2016   n = 1145: 4436672723558212976001763691029474593961; B1= 43e6; sigma = 4038135113 
                            P40: P-1: 2^3 * 3^2 * 5 * 7 * 53 * 229 * 145059274459125152393826685389079
                                 P+1: 2 * 29 * 3583 * 396377 * 1765508473 * 30507339800789496823  
   
   Retnek     
   Oct 10, 2016   n = 1167: 5399028320003378981935733251080096325009; B1= 11e7; sigma = 1997936022 
                            P40: P-1: 2^4 * 3 * 103 * 163 * 389 * 17222648485066204617030447833851  
                                 P+1: 2 * 5 * 13 * 56131 * 557779 * 652772117 * 2032103009653573069 

   YOYO@home/WhiteFire      
   Nov 05, 2016   n = 1173: 51127988434642542343102991812662340182552388237; B1= 43e6; sigma = 1917067894 
                            P47: P-1: 2^2 * 3 * 17 * 23 * 143501 * 1063908899311 * 71374213183233448799205053 
                                 P+1: 2 * 11^2 * 18917 * 9291151 * 1202047302465772945690121428987517
   YOYO@home/Mumps        
   Nov 07, 2016   n = 1167: 613485710812313000516466620592830345835145382211665323; B1= 11e7; sigma = 2673943130 
                            P54: P-1: 2 * 3 * 13 * 17 * 271 * 389 * 20107 * 567151789059199 * 384853509350856790220468341
                                 P+1: 2^2 * 2495963 * 18696651208559641517 * 3286567005949648678073114261 
   YOYO@home/[P3D] Crashtest      
   Nov 07, 2016   n = 1213: 14539506681835624339134436400997541040884253; B1= 11e6; sigma = 166611344 
                            P44: P-1: 2^2 * 1213 * 1055591 * 2838789566800334106319351234281461  
                                 P+1: 2 * 3 * 131 * 52697 * 18034573690451 * 19464145963634411472437    
   YOYO@home/olddirt       
   Jan 15, 2017   n =3580M: 5405154679453439736564215753259035387646069983401; B1= 43e6; sigma = 1:3738343012 
                            P49: P-1: 2^3 * 3^3 * 5^2 * 11^2 * 179 * 199 * 740736139877009849 * 313515744147066905419
                                 P+1: 2 * 83 * 941 * 2250050693325559 * 15378646437194666443592448613
  YOYO@home/GrafZahl       
   Jan 15, 2017   n = 1177: 9948520184173999048162412672041617521453; B1= 43e6; sigma = 1:369386076
                            P40: P-1: 2^2 * 7 * 11^2 * 107 * 131 * 149 * 16229 * 1509061 * 5817411007 * 9868370311
                                 P+1: 2 * 3^2 * 11360269 * 231121793833807 * 210502115882220341
  YOYO@home/dhh   
   Jan 15, 2017   n = 1177: 6359360365417756994923166837207234903703751; B1= 43e6; sigma = 1:3185349667
                            P43: P-1: 2 * 3 * 5^4 * 11 * 107 * 1440806653167432907374266063371789273
                                 P+1: 2^3 * 181 * 5717 * 763556357489 * 1006087108571857879273873

  YOYO@home/NeuralMiner
   Feb 03, 2017   n =15015: 2129281144244831089812213750048333121 * 1988002251......c5700; B1= 11e6; sigma = 0:8742973988554528698
                            P37: P-1: 2^6 * 3^5 * 5 * 7 * 11 * 13^2 * 37 * 61 * 34061 * 27372242137309111787  
                                 P+1: 2 * 51769 * 348661 * 9323201 * 6326519017039422629  
                                                                                      

- Found by Kurt Beschorner

   Mar 02, 2017   n = 5709: 5428244957579115469193605941733;      B1=1e6; sigma = 2137748794  
                            P31: P-1: 2^2 * 3 * 7 * 11 * 13 * 173 * 4621 * 10781 * 52432793481122207 
                                 P+1: 2 * 29 * 266501591 * 351181506841691604553  

- visitors since March 09, 2015:
besucherzaehler-homepage.de
 

Factorizations

n =   250; n =   500; n =   750; n = 1000; n = 1250; n = 1500; n = 1750; n = 2000; n = 2250; n = 2500; n = 2750; n = 3000; n = 3250;
n = 3500; n = 3750; n = 4000; n = 4250; n = 4500; n = 4750; n = 5000; n = 5250; n = 5500; n = 5750; n = 6000; n = 6250; n = 6500;
n = 6750; n = 7000; n = 7250; n = 7500; n = 7750; n = 8000; n = 8250; n = 8500; n = 8750; n = 9000; n = 9250; n = 9500; n = 9750;
n = 10000; n = 10250; n = 10500; n = 10750; n = 11000; n = 11250; n = 11500; n = 11750; n = 12000; n = 12250; n = 12500;
n = 12750; n = 13000; n = 13500; n = 14000; n = 14500;