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December 31, 2021 2021 年 12 月 31 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=43933: c43933(1111111111......) = 19833544631515743670992161197 * c43904(5602181212......)

n=98947: c98925(5159598360......) = 4042489251541861195412591 * c98901(1276341887......)

# 206914 of 300000 Φn(10) factorizations were cracked. 300000 個中 206914 個の Φn(10) の素因数が見つかりました。

# 19933 of 25997 Rprime factorizations were cracked. 25997 個中 19933 個の Rprime の素因数が見つかりました。

December 30, 2021 2021 年 12 月 30 日 (Kurt Beschorner)

n=293473: x293473(1111111111......) = 2083652681417154889 * x293454(5332515927......)

n=293639: x293627(8024803840......) = 82730147857508449 * x293610(9699975218......)

n=294131: x294124(4722005836......) = 77563174175891791 * x294107(6087948161......)

n=294223: x294223(1111111111......) = 135912077897572961 * x294205(8175219806......)

n=294311: x294311(1111111111......) = 731504406789915839 * x294293(1518939736......)

n=294439: x294439(1111111111......) = 74761085180000507 * x294422(1486215868......)

n=294529: x294521(3493056887......) = 1865364803568040123 * x294503(1872586467......)

n=294703: x294696(3141894259......) = 287032911369688613 * x294679(1094611152......)

n=294703: x294679(1094611152......) = 3003524820775481711 * x294660(3644421864......)

n=294757: x294757(1111111111......) = 2952490377465006523 * x294738(3763301379......)

n=294803: x294803(1111111111......) = 2102798766683663837 * x294784(5283963110......)

n=294859: x294842(1009320594......) = 6909688548350958911 * x294823(1460732401......)

# gr-mfaktc

# 206913 of 300000 Φn(10) factorizations were cracked. 300000 個中 206913 個の Φn(10) の素因数が見つかりました。

# 19932 of 25997 Rprime factorizations were cracked. 25997 個中 19932 個の Rprime の素因数が見つかりました。

December 29, 2021 2021 年 12 月 29 日 (Ray Chandler)

# n=47468 p23732(9900990099......) is proven prime.

# https://stdkmd.net/nrr/cert/Phi/#CERT_PHI_47468_10

December 26, 2021 2021 年 12 月 26 日 (Kurt Beschorner)

n=50031: c31105(1000000001......) = 347759717040559441 * x31087(2875548696......)

# ECM B1=25e4, sigma=8449739603001929

n=50031: x31087(2875548696......) = 2401254027098164717849 * c31066(1197519572......)

# ECM B1=25e4, sigma=8188430388741141

n=69631: c69064(9000000000......) = 641182553405624360572613 * c69041(1403656408......)

# ECM B1=5e4, sigma=0:2078923129858563

n=292673: x292673(1111111111......) = 1970137281322965929 * x292654(5639764912......)

n=292679: x292670(8111852997......) = 300290546006420119 * x292653(2701334792......)

n=293179: x293155(1923371186......) = 1292711176006301533 * x293137(1487858403......)

n=293201: x293186(2956280928......) = 629358853833031037 * x293168(4697289805......)

n=293357: x293341(2850895867......) = 84609323275472323 * x293324(3369481940......)

# gr-mfaktc

# 206907 of 300000 Φn(10) factorizations were cracked. 300000 個中 206907 個の Φn(10) の素因数が見つかりました。

# 19926 of 25997 Rprime factorizations were cracked. 25997 個中 19926 個の Rprime の素因数が見つかりました。

December 23, 2021 2021 年 12 月 23 日 (Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche and Kurt Beschorner)

n=888: c258(5814034158......) = 78423397189035946058321607200546180176617061948406580747828212881 * p193(7413647414......)

# SNFS

Sat Nov 13 02:28:08 2021
Sat Nov 13 02:28:08 2021  Msieve v. 1.53 (SVN unknown)
Sat Nov 13 02:28:08 2021  random seeds: 31fb9aec a2d8978d
Sat Nov 13 02:28:08 2021  factoring 581403415839420176983066001617236586243641184826931632235330152219588849265581588612067252320765293675303967632757149810066275358075715477714316831443247944783624695235263688214763916924778042769927192854901285006835262147395611595242055587368580007521121569 (258 digits)
Sat Nov 13 02:28:10 2021  searching for 15-digit factors
Sat Nov 13 02:28:11 2021  commencing number field sieve (258-digit input)
Sat Nov 13 02:28:11 2021  R0: -10000000000000000000000000000000000000000000000000
Sat Nov 13 02:28:11 2021  R1: 1
Sat Nov 13 02:28:11 2021  A0: 1
Sat Nov 13 02:28:11 2021  A1: 0
Sat Nov 13 02:28:11 2021  A2: 0
Sat Nov 13 02:28:11 2021  A3: -10
Sat Nov 13 02:28:11 2021  A4: 0
Sat Nov 13 02:28:11 2021  A5: 0
Sat Nov 13 02:28:11 2021  A6: 100
Sat Nov 13 02:28:11 2021  skew 0.63, size 1.932e-014, alpha -0.127, combined = 5.550e-015 rroots = 0
Sat Nov 13 02:28:11 2021
Sat Nov 13 02:28:11 2021  commencing relation filtering
Sat Nov 13 02:28:11 2021  setting target matrix density to 130.0
Sat Nov 13 02:28:11 2021  estimated available RAM is 65214.1 MB
Sat Nov 13 02:28:11 2021  commencing duplicate removal, pass 1
Sat Nov 13 05:07:06 2021  error -11 reading relation 618828840
Sat Nov 13 05:08:24 2021  error -6 reading relation 624134309
Sat Nov 13 05:08:33 2021  error -11 reading relation 624720930
Sat Nov 13 05:34:03 2021  skipped 173495 relations with b > 2^32
Sat Nov 13 05:34:03 2021  skipped 1 relations with composite factors
Sat Nov 13 05:34:03 2021  found 99649838 hash collisions in 727778255 relations
Sat Nov 13 05:34:23 2021  added 1 free relations
Sat Nov 13 05:34:23 2021  commencing duplicate removal, pass 2
Sat Nov 13 05:43:09 2021  found 2 duplicates and 727778254 unique relations
Sat Nov 13 05:43:09 2021  memory use: 4262.0 MB
Sat Nov 13 05:43:10 2021  reading ideals above 401932288
Sat Nov 13 05:43:10 2021  commencing singleton removal, initial pass
Sat Nov 13 08:18:38 2021  memory use: 11024.0 MB
Sat Nov 13 08:18:40 2021  reading all ideals from disk
Sat Nov 13 08:19:15 2021  memory use: 13814.0 MB
Sat Nov 13 08:20:22 2021  commencing in-memory singleton removal
Sat Nov 13 08:21:21 2021  begin with 727778254 relations and 625686486 unique ideals
Sat Nov 13 08:37:38 2021  reduce to 483290080 relations and 357480213 ideals in 15 passes
Sat Nov 13 08:37:38 2021  max relations containing the same ideal: 67
Sat Nov 13 08:38:47 2021  reading ideals above 720000
Sat Nov 13 08:38:48 2021  commencing singleton removal, initial pass
Sat Nov 13 10:55:55 2021  memory use: 11024.0 MB
Sat Nov 13 10:55:56 2021  reading all ideals from disk
Sat Nov 13 10:56:54 2021  memory use: 21726.9 MB
Sat Nov 13 10:58:46 2021  keeping 397796420 ideals with weight <= 200, target excess is 2549843
Sat Nov 13 11:00:46 2021  commencing in-memory singleton removal
Sat Nov 13 11:02:07 2021  begin with 483290080 relations and 397796420 unique ideals
Sat Nov 13 11:13:07 2021  reduce to 483290000 relations and 397796340 ideals in 6 passes
Sat Nov 13 11:13:07 2021  max relations containing the same ideal: 200
Sat Nov 13 11:20:22 2021  removing 15570537 relations and 13570537 ideals in 2000000 cliques
Sat Nov 13 11:20:32 2021  commencing in-memory singleton removal
Sat Nov 13 11:21:54 2021  begin with 467719463 relations and 397796340 unique ideals
Sat Nov 13 11:35:13 2021  reduce to 467340273 relations and 383844326 ideals in 7 passes
Sat Nov 13 11:35:13 2021  max relations containing the same ideal: 200
Sat Nov 13 11:42:47 2021  removing 11704354 relations and 9704354 ideals in 2000000 cliques
Sat Nov 13 11:42:57 2021  commencing in-memory singleton removal
Sat Nov 13 11:44:19 2021  begin with 455635919 relations and 383844326 unique ideals
Sat Nov 13 11:57:12 2021  reduce to 455401136 relations and 373903975 ideals in 7 passes
Sat Nov 13 11:57:12 2021  max relations containing the same ideal: 199
Sat Nov 13 12:04:18 2021  removing 10469953 relations and 8469953 ideals in 2000000 cliques
Sat Nov 13 12:04:26 2021  commencing in-memory singleton removal
Sat Nov 13 12:05:47 2021  begin with 444931183 relations and 373903975 unique ideals
Sat Nov 13 12:18:32 2021  reduce to 444734580 relations and 365236428 ideals in 7 passes
Sat Nov 13 12:18:32 2021  max relations containing the same ideal: 198
Sat Nov 13 12:25:31 2021  removing 9760044 relations and 7760044 ideals in 2000000 cliques
Sat Nov 13 12:25:40 2021  commencing in-memory singleton removal
Sat Nov 13 12:27:01 2021  begin with 434974536 relations and 365236428 unique ideals
Sat Nov 13 12:39:17 2021  reduce to 434797240 relations and 357298249 ideals in 7 passes
Sat Nov 13 12:39:17 2021  max relations containing the same ideal: 195
Sat Nov 13 12:45:58 2021  removing 9282871 relations and 7282871 ideals in 2000000 cliques
Sat Nov 13 12:46:06 2021  commencing in-memory singleton removal
Sat Nov 13 12:47:27 2021  begin with 425514369 relations and 357298249 unique ideals
Sat Nov 13 12:59:50 2021  reduce to 425349499 relations and 349849790 ideals in 7 passes
Sat Nov 13 12:59:50 2021  max relations containing the same ideal: 195
Sat Nov 13 13:06:21 2021  removing 8932382 relations and 6932382 ideals in 2000000 cliques
Sat Nov 13 13:06:29 2021  commencing in-memory singleton removal
Sat Nov 13 13:07:34 2021  begin with 416417117 relations and 349849790 unique ideals
Sat Nov 13 13:17:50 2021  reduce to 416260051 relations and 342759616 ideals in 7 passes
Sat Nov 13 13:17:50 2021  max relations containing the same ideal: 191
Sat Nov 13 13:24:04 2021  removing 8654929 relations and 6654929 ideals in 2000000 cliques
Sat Nov 13 13:24:12 2021  commencing in-memory singleton removal
Sat Nov 13 13:25:14 2021  begin with 407605122 relations and 342759616 unique ideals
Sat Nov 13 13:35:20 2021  reduce to 407453363 relations and 335952210 ideals in 7 passes
Sat Nov 13 13:35:20 2021  max relations containing the same ideal: 190
Sat Nov 13 13:41:07 2021  removing 8439705 relations and 6439705 ideals in 2000000 cliques
Sat Nov 13 13:41:15 2021  commencing in-memory singleton removal
Sat Nov 13 13:42:26 2021  begin with 399013658 relations and 335952210 unique ideals
Sat Nov 13 13:55:35 2021  reduce to 398866598 relations and 329364710 ideals in 8 passes
Sat Nov 13 13:55:35 2021  max relations containing the same ideal: 186
Sat Nov 13 14:01:53 2021  removing 8259315 relations and 6259315 ideals in 2000000 cliques
Sat Nov 13 14:02:01 2021  commencing in-memory singleton removal
Sat Nov 13 14:03:05 2021  begin with 390607283 relations and 329364710 unique ideals
Sat Nov 13 14:12:14 2021  reduce to 390463767 relations and 322961167 ideals in 6 passes
Sat Nov 13 14:12:14 2021  max relations containing the same ideal: 185
Sat Nov 13 14:18:04 2021  removing 8111977 relations and 6111977 ideals in 2000000 cliques
Sat Nov 13 14:18:11 2021  commencing in-memory singleton removal
Sat Nov 13 14:19:11 2021  begin with 382351790 relations and 322961167 unique ideals
Sat Nov 13 14:29:11 2021  reduce to 382209358 relations and 316706081 ideals in 7 passes
Sat Nov 13 14:29:11 2021  max relations containing the same ideal: 183
Sat Nov 13 14:34:45 2021  removing 7989136 relations and 5989136 ideals in 2000000 cliques
Sat Nov 13 14:34:52 2021  commencing in-memory singleton removal
Sat Nov 13 14:35:51 2021  begin with 374220222 relations and 316706081 unique ideals
Sat Nov 13 14:43:50 2021  reduce to 374079923 relations and 310575943 ideals in 6 passes
Sat Nov 13 14:43:50 2021  max relations containing the same ideal: 181
Sat Nov 13 14:49:23 2021  removing 7885191 relations and 5885191 ideals in 2000000 cliques
Sat Nov 13 14:49:30 2021  commencing in-memory singleton removal
Sat Nov 13 14:50:24 2021  begin with 366194732 relations and 310575943 unique ideals
Sat Nov 13 14:58:01 2021  reduce to 366054425 relations and 304549689 ideals in 6 passes
Sat Nov 13 14:58:01 2021  max relations containing the same ideal: 178
Sat Nov 13 15:03:12 2021  removing 7800269 relations and 5800269 ideals in 2000000 cliques
Sat Nov 13 15:03:18 2021  commencing in-memory singleton removal
Sat Nov 13 15:04:12 2021  begin with 358254156 relations and 304549689 unique ideals
Sat Nov 13 15:12:54 2021  reduce to 358113938 relations and 298608461 ideals in 7 passes
Sat Nov 13 15:12:54 2021  max relations containing the same ideal: 178
Sat Nov 13 15:18:35 2021  removing 7722140 relations and 5722140 ideals in 2000000 cliques
Sat Nov 13 15:18:42 2021  commencing in-memory singleton removal
Sat Nov 13 15:19:38 2021  begin with 350391798 relations and 298608461 unique ideals
Sat Nov 13 15:28:00 2021  reduce to 350251405 relations and 292745158 ideals in 6 passes
Sat Nov 13 15:28:00 2021  max relations containing the same ideal: 175
Sat Nov 13 15:33:25 2021  removing 7660919 relations and 5660919 ideals in 2000000 cliques
Sat Nov 13 15:33:32 2021  commencing in-memory singleton removal
Sat Nov 13 15:34:24 2021  begin with 342590486 relations and 292745158 unique ideals
Sat Nov 13 15:41:38 2021  reduce to 342450160 relations and 286943102 ideals in 6 passes
Sat Nov 13 15:41:38 2021  max relations containing the same ideal: 173
Sat Nov 13 15:46:31 2021  removing 7606769 relations and 5606769 ideals in 2000000 cliques
Sat Nov 13 15:46:37 2021  commencing in-memory singleton removal
Sat Nov 13 15:47:27 2021  begin with 334843391 relations and 286943102 unique ideals
Sat Nov 13 15:54:31 2021  reduce to 334701218 relations and 281193407 ideals in 6 passes
Sat Nov 13 15:54:31 2021  max relations containing the same ideal: 171
Sat Nov 13 15:59:27 2021  removing 7558459 relations and 5558459 ideals in 2000000 cliques
Sat Nov 13 15:59:34 2021  commencing in-memory singleton removal
Sat Nov 13 16:00:22 2021  begin with 327142759 relations and 281193407 unique ideals
Sat Nov 13 16:07:23 2021  reduce to 326999096 relations and 275490371 ideals in 6 passes
Sat Nov 13 16:07:23 2021  max relations containing the same ideal: 168
Sat Nov 13 16:12:26 2021  removing 7522706 relations and 5522706 ideals in 2000000 cliques
Sat Nov 13 16:12:32 2021  commencing in-memory singleton removal
Sat Nov 13 16:13:19 2021  begin with 319476390 relations and 275490371 unique ideals
Sat Nov 13 16:19:48 2021  reduce to 319332007 relations and 269822437 ideals in 6 passes
Sat Nov 13 16:19:48 2021  max relations containing the same ideal: 164
Sat Nov 13 16:24:18 2021  removing 7491944 relations and 5491944 ideals in 2000000 cliques
Sat Nov 13 16:24:24 2021  commencing in-memory singleton removal
Sat Nov 13 16:25:08 2021  begin with 311840063 relations and 269822437 unique ideals
Sat Nov 13 16:31:25 2021  reduce to 311693187 relations and 264182698 ideals in 6 passes
Sat Nov 13 16:31:25 2021  max relations containing the same ideal: 161
Sat Nov 13 16:35:47 2021  removing 7460552 relations and 5460552 ideals in 2000000 cliques
Sat Nov 13 16:35:53 2021  commencing in-memory singleton removal
Sat Nov 13 16:36:34 2021  begin with 304232635 relations and 264182698 unique ideals
Sat Nov 13 16:43:31 2021  reduce to 304083813 relations and 258572393 ideals in 7 passes
Sat Nov 13 16:43:31 2021  max relations containing the same ideal: 161
Sat Nov 13 16:47:52 2021  removing 7443616 relations and 5443616 ideals in 2000000 cliques
Sat Nov 13 16:47:58 2021  commencing in-memory singleton removal
Sat Nov 13 16:48:40 2021  begin with 296640197 relations and 258572393 unique ideals
Sat Nov 13 16:54:47 2021  reduce to 296488004 relations and 252975554 ideals in 6 passes
Sat Nov 13 16:54:47 2021  max relations containing the same ideal: 158
Sat Nov 13 16:58:56 2021  removing 7430413 relations and 5430413 ideals in 2000000 cliques
Sat Nov 13 16:59:02 2021  commencing in-memory singleton removal
Sat Nov 13 16:59:43 2021  begin with 289057591 relations and 252975554 unique ideals
Sat Nov 13 17:05:20 2021  reduce to 288902416 relations and 247388914 ideals in 6 passes
Sat Nov 13 17:05:20 2021  max relations containing the same ideal: 155
Sat Nov 13 17:09:33 2021  removing 7422866 relations and 5422866 ideals in 2000000 cliques
Sat Nov 13 17:09:39 2021  commencing in-memory singleton removal
Sat Nov 13 17:10:19 2021  begin with 281479550 relations and 247388914 unique ideals
Sat Nov 13 17:16:09 2021  reduce to 281320962 relations and 241806360 ideals in 6 passes
Sat Nov 13 17:16:09 2021  max relations containing the same ideal: 150
Sat Nov 13 17:20:19 2021  removing 7413788 relations and 5413788 ideals in 2000000 cliques
Sat Nov 13 17:20:25 2021  commencing in-memory singleton removal
Sat Nov 13 17:21:04 2021  begin with 273907174 relations and 241806360 unique ideals
Sat Nov 13 17:26:45 2021  reduce to 273744902 relations and 236229121 ideals in 6 passes
Sat Nov 13 17:26:45 2021  max relations containing the same ideal: 149
Sat Nov 13 17:30:45 2021  removing 7417848 relations and 5417848 ideals in 2000000 cliques
Sat Nov 13 17:30:51 2021  commencing in-memory singleton removal
Sat Nov 13 17:31:29 2021  begin with 266327054 relations and 236229121 unique ideals
Sat Nov 13 17:37:32 2021  reduce to 266160283 relations and 230643334 ideals in 7 passes
Sat Nov 13 17:37:32 2021  max relations containing the same ideal: 146
Sat Nov 13 17:41:26 2021  removing 7421569 relations and 5421569 ideals in 2000000 cliques
Sat Nov 13 17:41:32 2021  commencing in-memory singleton removal
Sat Nov 13 17:42:10 2021  begin with 258738714 relations and 230643334 unique ideals
Sat Nov 13 17:48:13 2021  reduce to 258567264 relations and 225049123 ideals in 7 passes
Sat Nov 13 17:48:13 2021  max relations containing the same ideal: 143
Sat Nov 13 17:51:59 2021  removing 7430460 relations and 5430460 ideals in 2000000 cliques
Sat Nov 13 17:52:05 2021  commencing in-memory singleton removal
Sat Nov 13 17:52:37 2021  begin with 251136804 relations and 225049123 unique ideals
Sat Nov 13 17:57:21 2021  reduce to 250959987 relations and 219440476 ideals in 6 passes
Sat Nov 13 17:57:21 2021  max relations containing the same ideal: 140
Sat Nov 13 18:00:47 2021  removing 7443419 relations and 5443419 ideals in 2000000 cliques
Sat Nov 13 18:00:52 2021  commencing in-memory singleton removal
Sat Nov 13 18:01:27 2021  begin with 243516568 relations and 219440476 unique ideals
Sat Nov 13 18:06:02 2021  reduce to 243334344 relations and 213813409 ideals in 6 passes
Sat Nov 13 18:06:02 2021  max relations containing the same ideal: 139
Sat Nov 13 18:09:20 2021  removing 7462650 relations and 5462650 ideals in 2000000 cliques
Sat Nov 13 18:09:24 2021  commencing in-memory singleton removal
Sat Nov 13 18:09:55 2021  begin with 235871694 relations and 213813409 unique ideals
Sat Nov 13 18:14:29 2021  reduce to 235682732 relations and 208160240 ideals in 6 passes
Sat Nov 13 18:14:29 2021  max relations containing the same ideal: 135
Sat Nov 13 18:17:49 2021  removing 7487120 relations and 5487120 ideals in 2000000 cliques
Sat Nov 13 18:17:53 2021  commencing in-memory singleton removal
Sat Nov 13 18:18:27 2021  begin with 228195612 relations and 208160240 unique ideals
Sat Nov 13 18:23:34 2021  reduce to 228001147 relations and 202477040 ideals in 7 passes
Sat Nov 13 18:23:34 2021  max relations containing the same ideal: 133
Sat Nov 13 18:26:43 2021  removing 7514278 relations and 5514278 ideals in 2000000 cliques
Sat Nov 13 18:26:48 2021  commencing in-memory singleton removal
Sat Nov 13 18:27:19 2021  begin with 220486869 relations and 202477040 unique ideals
Sat Nov 13 18:32:16 2021  reduce to 220284490 relations and 196758775 ideals in 7 passes
Sat Nov 13 18:32:16 2021  max relations containing the same ideal: 130
Sat Nov 13 18:35:15 2021  removing 7543798 relations and 5543798 ideals in 2000000 cliques
Sat Nov 13 18:35:20 2021  commencing in-memory singleton removal
Sat Nov 13 18:35:46 2021  begin with 212740692 relations and 196758775 unique ideals
Sat Nov 13 18:40:22 2021  reduce to 212528596 relations and 191000901 ideals in 7 passes
Sat Nov 13 18:40:22 2021  max relations containing the same ideal: 127
Sat Nov 13 18:43:20 2021  removing 7588890 relations and 5588890 ideals in 2000000 cliques
Sat Nov 13 18:43:24 2021  commencing in-memory singleton removal
Sat Nov 13 18:43:50 2021  begin with 204939706 relations and 191000901 unique ideals
Sat Nov 13 18:48:59 2021  reduce to 204717803 relations and 185188100 ideals in 8 passes
Sat Nov 13 18:48:59 2021  max relations containing the same ideal: 127
Sat Nov 13 18:52:04 2021  removing 7632317 relations and 5632317 ideals in 2000000 cliques
Sat Nov 13 18:52:08 2021  commencing in-memory singleton removal
Sat Nov 13 18:52:36 2021  begin with 197085486 relations and 185188100 unique ideals
Sat Nov 13 18:56:56 2021  reduce to 196854059 relations and 179322242 ideals in 7 passes
Sat Nov 13 18:56:56 2021  max relations containing the same ideal: 123
Sat Nov 13 18:59:47 2021  removing 7691610 relations and 5691610 ideals in 2000000 cliques
Sat Nov 13 18:59:51 2021  commencing in-memory singleton removal
Sat Nov 13 19:00:17 2021  begin with 189162449 relations and 179322242 unique ideals
Sat Nov 13 19:04:22 2021  reduce to 188917580 relations and 173383400 ideals in 7 passes
Sat Nov 13 19:04:23 2021  max relations containing the same ideal: 120
Sat Nov 13 19:07:05 2021  removing 7750523 relations and 5750523 ideals in 2000000 cliques
Sat Nov 13 19:07:09 2021  commencing in-memory singleton removal
Sat Nov 13 19:07:33 2021  begin with 181167057 relations and 173383400 unique ideals
Sat Nov 13 19:11:30 2021  reduce to 180909025 relations and 167372355 ideals in 7 passes
Sat Nov 13 19:11:30 2021  max relations containing the same ideal: 119
Sat Nov 13 19:14:09 2021  removing 7825632 relations and 5825632 ideals in 2000000 cliques
Sat Nov 13 19:14:13 2021  commencing in-memory singleton removal
Sat Nov 13 19:14:37 2021  begin with 173083393 relations and 167372355 unique ideals
Sat Nov 13 19:18:19 2021  reduce to 172809830 relations and 161270387 ideals in 7 passes
Sat Nov 13 19:18:19 2021  max relations containing the same ideal: 118
Sat Nov 13 19:20:55 2021  removing 7905552 relations and 5905552 ideals in 2000000 cliques
Sat Nov 13 19:20:59 2021  commencing in-memory singleton removal
Sat Nov 13 19:21:23 2021  begin with 164904278 relations and 161270387 unique ideals
Sat Nov 13 19:25:00 2021  reduce to 164611084 relations and 155068681 ideals in 7 passes
Sat Nov 13 19:25:00 2021  max relations containing the same ideal: 116
Sat Nov 13 19:27:22 2021  removing 7993574 relations and 5993574 ideals in 2000000 cliques
Sat Nov 13 19:27:26 2021  commencing in-memory singleton removal
Sat Nov 13 19:27:46 2021  begin with 156617510 relations and 155068681 unique ideals
Sat Nov 13 19:31:33 2021  reduce to 156304102 relations and 148758407 ideals in 8 passes
Sat Nov 13 19:31:33 2021  max relations containing the same ideal: 110
Sat Nov 13 19:33:57 2021  removing 8099805 relations and 6099805 ideals in 2000000 cliques
Sat Nov 13 19:34:01 2021  commencing in-memory singleton removal
Sat Nov 13 19:34:26 2021  begin with 148204297 relations and 148758407 unique ideals
Sat Nov 13 19:39:48 2021  reduce to 147863429 relations and 142314041 ideals in 9 passes
Sat Nov 13 19:39:48 2021  max relations containing the same ideal: 104
Sat Nov 13 19:42:28 2021  removing 8218921 relations and 6218921 ideals in 2000000 cliques
Sat Nov 13 19:42:32 2021  commencing in-memory singleton removal
Sat Nov 13 19:43:02 2021  begin with 139644508 relations and 142314041 unique ideals
Sat Nov 13 19:47:38 2021  reduce to 139272211 relations and 135718596 ideals in 7 passes
Sat Nov 13 19:47:38 2021  max relations containing the same ideal: 99
Sat Nov 13 19:50:28 2021  removing 3089683 relations and 2493886 ideals in 595797 cliques
Sat Nov 13 19:50:31 2021  commencing in-memory singleton removal
Sat Nov 13 19:50:58 2021  begin with 136182528 relations and 135718596 unique ideals
Sat Nov 13 19:55:15 2021  reduce to 136132802 relations and 133174787 ideals in 7 passes
Sat Nov 13 19:55:15 2021  max relations containing the same ideal: 97
Sat Nov 13 19:58:24 2021  relations with 0 large ideals: 65219
Sat Nov 13 19:58:24 2021  relations with 1 large ideals: 28240
Sat Nov 13 19:58:24 2021  relations with 2 large ideals: 419004
Sat Nov 13 19:58:24 2021  relations with 3 large ideals: 2879653
Sat Nov 13 19:58:24 2021  relations with 4 large ideals: 10786894
Sat Nov 13 19:58:24 2021  relations with 5 large ideals: 24455200
Sat Nov 13 19:58:24 2021  relations with 6 large ideals: 35155510
Sat Nov 13 19:58:24 2021  relations with 7+ large ideals: 62343082
Sat Nov 13 19:58:24 2021  commencing 2-way merge
Sat Nov 13 20:01:52 2021  reduce to 86206577 relation sets and 83248562 unique ideals
Sat Nov 13 20:01:52 2021  commencing full merge
Sat Nov 13 21:01:01 2021  memory use: 10913.8 MB
Sat Nov 13 21:01:36 2021  found 38132423 cycles, need 37964762
Sat Nov 13 21:01:39 2021  weight of 37964762 cycles is about 4935432927 (130.00/cycle)
Sat Nov 13 21:01:39 2021  distribution of cycle lengths:
Sat Nov 13 21:01:39 2021  1 relations: 2512292
Sat Nov 13 21:01:39 2021  2 relations: 2507347
Sat Nov 13 21:01:39 2021  3 relations: 2608159
Sat Nov 13 21:01:39 2021  4 relations: 2569509
Sat Nov 13 21:01:39 2021  5 relations: 2594854
Sat Nov 13 21:01:39 2021  6 relations: 2540744
Sat Nov 13 21:01:39 2021  7 relations: 2518893
Sat Nov 13 21:01:39 2021  8 relations: 2409592
Sat Nov 13 21:01:39 2021  9 relations: 2309707
Sat Nov 13 21:01:39 2021  10+ relations: 15393665
Sat Nov 13 21:01:39 2021  heaviest cycle: 28 relations
Sat Nov 13 21:06:10 2021  commencing cycle optimization
Sat Nov 13 21:08:56 2021  start with 334948077 relations
Sat Nov 13 21:36:04 2021  pruned 14802094 relations
Sat Nov 13 21:36:04 2021  memory use: 9026.1 MB
Sat Nov 13 21:36:04 2021  distribution of cycle lengths:
Sat Nov 13 21:36:04 2021  1 relations: 2512292
Sat Nov 13 21:36:04 2021  2 relations: 2570390
Sat Nov 13 21:36:04 2021  3 relations: 2713952
Sat Nov 13 21:36:04 2021  4 relations: 2670708
Sat Nov 13 21:36:04 2021  5 relations: 2715623
Sat Nov 13 21:36:04 2021  6 relations: 2656971
Sat Nov 13 21:36:04 2021  7 relations: 2639823
Sat Nov 13 21:36:04 2021  8 relations: 2521800
Sat Nov 13 21:36:04 2021  9 relations: 2417629
Sat Nov 13 21:36:04 2021  10+ relations: 14545574
Sat Nov 13 21:36:04 2021  heaviest cycle: 28 relations
Sat Nov 13 21:41:24 2021  RelProcTime: 69193
Sat Nov 13 21:41:24 2021  elapsed time 19:13:16


Sat Nov 13 22:30:31 2021
Sat Nov 13 22:30:31 2021  Msieve v. 1.53 (SVN unknown)
Sat Nov 13 22:30:31 2021  random seeds: 5f5a96d8 8ba27d89
Sat Nov 13 22:30:31 2021  factoring 581403415839420176983066001617236586243641184826931632235330152219588849265581588612067252320765293675303967632757149810066275358075715477714316831443247944783624695235263688214763916924778042769927192854901285006835262147395611595242055587368580007521121569 (258 digits)
Sat Nov 13 22:30:32 2021  searching for 15-digit factors
Sat Nov 13 22:30:33 2021  commencing number field sieve (258-digit input)
Sat Nov 13 22:30:33 2021  R0: -10000000000000000000000000000000000000000000000000
Sat Nov 13 22:30:33 2021  R1: 1
Sat Nov 13 22:30:33 2021  A0: 1
Sat Nov 13 22:30:33 2021  A1: 0
Sat Nov 13 22:30:33 2021  A2: 0
Sat Nov 13 22:30:33 2021  A3: -10
Sat Nov 13 22:30:33 2021  A4: 0
Sat Nov 13 22:30:33 2021  A5: 0
Sat Nov 13 22:30:33 2021  A6: 100
Sat Nov 13 22:30:33 2021  skew 0.63, size 1.932e-014, alpha -0.127, combined = 5.550e-015 rroots = 0
Sat Nov 13 22:30:33 2021
Sat Nov 13 22:30:33 2021  commencing linear algebra
Sat Nov 13 22:30:37 2021  read 37964762 cycles
Sat Nov 13 22:31:47 2021  cycles contain 134615449 unique relations
Sat Nov 13 22:40:24 2021  read 134615449 relations
Sat Nov 13 22:46:53 2021  using 20 quadratic characters above 4294917295
Sat Nov 13 22:53:29 2021  building initial matrix
Sat Nov 13 23:19:30 2021  memory use: 17863.0 MB
Sat Nov 13 23:20:12 2021  read 37964762 cycles
Sat Nov 13 23:20:23 2021  matrix is 37964585 x 37964762 (19184.7 MB) with weight 5548164488 (146.14/col)
Sat Nov 13 23:20:23 2021  sparse part has weight 4611531872 (121.47/col)
Sat Nov 13 23:27:18 2021  filtering completed in 2 passes
Sat Nov 13 23:27:30 2021  matrix is 37963697 x 37963874 (19184.6 MB) with weight 5548132416 (146.14/col)
Sat Nov 13 23:27:30 2021  sparse part has weight 4611522164 (121.47/col)
Sat Nov 13 23:30:58 2021  matrix starts at (0, 0)
Sat Nov 13 23:31:09 2021  matrix is 37963697 x 37963874 (19184.6 MB) with weight 5548132416 (146.14/col)
Sat Nov 13 23:31:09 2021  sparse part has weight 4611522164 (121.47/col)
Sat Nov 13 23:31:09 2021  saving the first 48 matrix rows for later
Sat Nov 13 23:31:20 2021  matrix includes 64 packed rows
Sat Nov 13 23:31:27 2021  matrix is 37963649 x 37963874 (18573.5 MB) with weight 4827592863 (127.16/col)
Sat Nov 13 23:31:27 2021  sparse part has weight 4489284299 (118.25/col)
Sat Nov 13 23:31:27 2021  using block size 8192 and superblock size 6291456 for processor cache size 65536 kB
Sat Nov 13 23:35:45 2021  commencing Lanczos iteration (24 threads)
Sat Nov 13 23:35:45 2021  memory use: 16333.6 MB
Sat Nov 13 23:38:25 2021  linear algebra at 0.0%, ETA 1065h39m
Sat Nov 13 23:39:16 2021  checkpointing every 40000 dimensions
Fri Dec 03 18:43:14 2021
Fri Dec 03 18:43:14 2021
Fri Dec 03 18:43:14 2021  Msieve v. 1.53 (SVN unknown)
Fri Dec 03 18:43:14 2021  random seeds: cc2c2bc8 e2095a6b
Fri Dec 03 18:43:14 2021  factoring 581403415839420176983066001617236586243641184826931632235330152219588849265581588612067252320765293675303967632757149810066275358075715477714316831443247944783624695235263688214763916924778042769927192854901285006835262147395611595242055587368580007521121569 (258 digits)
Fri Dec 03 18:43:15 2021  searching for 15-digit factors
Fri Dec 03 18:43:15 2021  commencing number field sieve (258-digit input)
Fri Dec 03 18:43:15 2021  R0: -10000000000000000000000000000000000000000000000000
Fri Dec 03 18:43:15 2021  R1: 1
Fri Dec 03 18:43:15 2021  A0: 1
Fri Dec 03 18:43:15 2021  A1: 0
Fri Dec 03 18:43:15 2021  A2: 0
Fri Dec 03 18:43:15 2021  A3: -10
Fri Dec 03 18:43:15 2021  A4: 0
Fri Dec 03 18:43:15 2021  A5: 0
Fri Dec 03 18:43:15 2021  A6: 100
Fri Dec 03 18:43:15 2021  skew 0.63, size 1.932e-014, alpha -0.127, combined = 5.550e-015 rroots = 0
Fri Dec 03 18:43:15 2021
Fri Dec 03 18:43:15 2021  commencing linear algebra
Fri Dec 03 18:43:26 2021  matrix starts at (0, 0)
Fri Dec 03 18:43:37 2021  matrix is 37963697 x 37963874 (19184.6 MB) with weight 5548132416 (146.14/col)
Fri Dec 03 18:43:37 2021  sparse part has weight 4611522164 (121.47/col)
Fri Dec 03 18:43:37 2021  saving the first 48 matrix rows for later
Fri Dec 03 18:43:47 2021  matrix includes 64 packed rows
Fri Dec 03 18:43:53 2021  matrix is 37963649 x 37963874 (18573.5 MB) with weight 4827592863 (127.16/col)
Fri Dec 03 18:43:53 2021  sparse part has weight 4489284299 (118.25/col)
Fri Dec 03 18:43:53 2021  using block size 8192 and superblock size 6291456 for processor cache size 65536 kB
Fri Dec 03 18:47:41 2021  commencing Lanczos iteration (24 threads)
Fri Dec 03 18:47:41 2021  memory use: 16333.6 MB
Fri Dec 03 18:47:41 2021  restarting at iteration 299194 (dim = 18920006)
Fri Dec 03 18:49:57 2021  linear algebra at 49.8%, ETA 476h 5m
Fri Dec 03 18:50:43 2021  checkpointing every 40000 dimensions
Thu Dec 16 07:31:18 2021
Thu Dec 16 07:31:18 2021
Thu Dec 16 07:31:18 2021  Msieve v. 1.53 (SVN unknown)
Thu Dec 16 07:31:18 2021  random seeds: 547c4bf0 246ba3e0
Thu Dec 16 07:31:18 2021  factoring 581403415839420176983066001617236586243641184826931632235330152219588849265581588612067252320765293675303967632757149810066275358075715477714316831443247944783624695235263688214763916924778042769927192854901285006835262147395611595242055587368580007521121569 (258 digits)
Thu Dec 16 07:31:19 2021  searching for 15-digit factors
Thu Dec 16 07:31:19 2021  commencing number field sieve (258-digit input)
Thu Dec 16 07:31:19 2021  R0: -10000000000000000000000000000000000000000000000000
Thu Dec 16 07:31:19 2021  R1: 1
Thu Dec 16 07:31:19 2021  A0: 1
Thu Dec 16 07:31:19 2021  A1: 0
Thu Dec 16 07:31:19 2021  A2: 0
Thu Dec 16 07:31:19 2021  A3: -10
Thu Dec 16 07:31:19 2021  A4: 0
Thu Dec 16 07:31:19 2021  A5: 0
Thu Dec 16 07:31:19 2021  A6: 100
Thu Dec 16 07:31:19 2021  skew 0.63, size 1.932e-014, alpha -0.127, combined = 5.550e-015 rroots = 0
Thu Dec 16 07:31:19 2021
Thu Dec 16 07:31:19 2021  commencing linear algebra
Thu Dec 16 07:31:30 2021  matrix starts at (0, 0)
Thu Dec 16 07:31:41 2021  matrix is 37963697 x 37963874 (19184.6 MB) with weight 5548132416 (146.14/col)
Thu Dec 16 07:31:41 2021  sparse part has weight 4611522164 (121.47/col)
Thu Dec 16 07:31:41 2021  saving the first 48 matrix rows for later
Thu Dec 16 07:31:51 2021  matrix includes 64 packed rows
Thu Dec 16 07:31:57 2021  matrix is 37963649 x 37963874 (18573.5 MB) with weight 4827592863 (127.16/col)
Thu Dec 16 07:31:57 2021  sparse part has weight 4489284299 (118.25/col)
Thu Dec 16 07:31:57 2021  using block size 8192 and superblock size 6291456 for processor cache size 65536 kB
Thu Dec 16 07:35:49 2021  commencing Lanczos iteration (24 threads)
Thu Dec 16 07:35:49 2021  memory use: 16333.6 MB
Thu Dec 16 07:35:50 2021  restarting at iteration 490229 (dim = 31000034)
Thu Dec 16 07:38:05 2021  linear algebra at 81.7%, ETA 172h33m
Thu Dec 16 07:38:51 2021  checkpointing every 50000 dimensions
Thu Dec 23 12:18:29 2021  lanczos halted after 600354 iterations (dim = 37963647)
Thu Dec 23 12:19:06 2021  recovered 40 nontrivial dependencies
Thu Dec 23 12:20:13 2021  BLanczosTime: 622134
Thu Dec 23 12:20:13 2021  elapsed time 172:48:55
Thu Dec 23 12:45:05 2021
Thu Dec 23 12:45:05 2021
Thu Dec 23 12:45:05 2021  Msieve v. 1.53 (SVN unknown)
Thu Dec 23 12:45:05 2021  random seeds: b044b9f4 5bf6d598
Thu Dec 23 12:45:05 2021  factoring 581403415839420176983066001617236586243641184826931632235330152219588849265581588612067252320765293675303967632757149810066275358075715477714316831443247944783624695235263688214763916924778042769927192854901285006835262147395611595242055587368580007521121569 (258 digits)
Thu Dec 23 12:45:06 2021  searching for 15-digit factors
Thu Dec 23 12:45:06 2021  commencing number field sieve (258-digit input)
Thu Dec 23 12:45:06 2021  R0: -10000000000000000000000000000000000000000000000000
Thu Dec 23 12:45:06 2021  R1: 1
Thu Dec 23 12:45:06 2021  A0: 1
Thu Dec 23 12:45:06 2021  A1: 0
Thu Dec 23 12:45:06 2021  A2: 0
Thu Dec 23 12:45:06 2021  A3: -10
Thu Dec 23 12:45:06 2021  A4: 0
Thu Dec 23 12:45:06 2021  A5: 0
Thu Dec 23 12:45:06 2021  A6: 100
Thu Dec 23 12:45:06 2021  skew 0.63, size 1.932e-014, alpha -0.127, combined = 5.550e-015 rroots = 0
Thu Dec 23 12:45:06 2021
Thu Dec 23 12:45:06 2021  commencing square root phase
Thu Dec 23 12:45:06 2021  handling dependencies 1 to 64
Thu Dec 23 12:45:06 2021  reading relations for dependency 1
Thu Dec 23 12:45:11 2021  read 18980191 cycles
Thu Dec 23 12:45:46 2021  cycles contain 67303736 unique relations
Thu Dec 23 12:50:48 2021  read 67303736 relations
Thu Dec 23 12:55:56 2021  multiplying 67303736 relations
Thu Dec 23 13:41:46 2021  multiply complete, coefficients have about 2272.78 million bits
Thu Dec 23 13:41:56 2021  initial square root is modulo 125183
Thu Dec 23 14:27:44 2021  sqrtTime: 6158
Thu Dec 23 14:27:44 2021  p65 factor: 78423397189035946058321607200546180176617061948406580747828212881
Thu Dec 23 14:27:44 2021  p193 factor: 7413647414915912456095291913585548438617298422325378879679910834861418508044083512279141934598325099533634759172455661729929526151907909705700148668130193294652504402201795631932236872015298449
Thu Dec 23 14:27:44 2021  elapsed time 01:42:39

# 1196 of 300000 Φn(10) factorizations were finished. 300000 個中 1196 個の Φn(10) の素因数分解が終わりました。

December 23, 2021 2021 年 12 月 23 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=98929: c98929(1111111111......) = 1454887191453029525179366711 * c98901(7637094598......)

# 206904 of 300000 Φn(10) factorizations were cracked. 300000 個中 206904 個の Φn(10) の素因数が見つかりました。

# 19925 of 25997 Rprime factorizations were cracked. 25997 個中 19925 個の Rprime の素因数が見つかりました。

December 23, 2021 2021 年 12 月 23 日 (Kurt Beschorner)

n=291373: x291321(3114830660......) = 195598203320532479 * x291304(1592463840......)

n=291503: x291503(1111111111......) = 2872896889280923643 * x291484(3867563487......)

n=291559: x291536(8135828929......) = 258978326696872883 * x291519(3141509574......)

n=291689: x291676(2584886623......) = 485900759154648479 * x291658(5319783052......)

n=291791: x291791(1111111111......) = 133354292280570359 * x291773(8332023605......)

n=291817: x291817(1111111111......) = 76686130958645837 * x291800(1448907510......)

n=291829: x291801(5875997586......) = 728786151080111489 * x291783(8062718505......)

n=291901: x291901(1111111111......) = 573647563656782761 * x291883(1936922914......)

n=291997: x291982(2753362410......) = 2722218830448179879 * x291964(1011440513......)

n=292081: x292057(9014710463......) = 14279290503601853399 * x292038(6313136119......)

# 206903 of 300000 Φn(10) factorizations were cracked. 300000 個中 206903 個の Φn(10) の素因数が見つかりました。

# 19924 of 25997 Rprime factorizations were cracked. 25997 個中 19924 個の Rprime の素因数が見つかりました。

December 20, 2021 2021 年 12 月 20 日 (Kurt Beschorner)

n=50013: c33330(1585301857......) = 347679450497700691340667373 * c33303(4559665102......)

# ECM B1=25e4, sigma=8483161937654724

n=290327: x290312(9317476435......) = 1983992955555811751 * x290294(4696325361......)

n=290489: x290489(1111111111......) = 88124993874263249 * x290472(1260835391......)

n=290669: x290649(6171758466......) = 94501011963980627 * x290632(6530891403......)

n=290869: x290869(1111111111......) = 570263612841898733 * x290851(1948416637......)

n=290993: x290984(3308789497......) = 13579112198009958601 * x290965(2436675865......)

n=291007: x291007(1111111111......) = 2634872269898382079 * x290988(4216944873......)

n=291037: x291037(1111111111......) = 7709506186236282893 * x291018(1441222153......)

n=291217: x291186(1347703401......) = 1174359446471490761 * x291168(1147607238......)

# gr-mfaktc

# 206899 of 300000 Φn(10) factorizations were cracked. 300000 個中 206899 個の Φn(10) の素因数が見つかりました。

# 19920 of 25997 Rprime factorizations were cracked. 25997 個中 19920 個の Rprime の素因数が見つかりました。

December 16, 2021 2021 年 12 月 16 日 (Kurt Beschorner)

n=289151: x289126(8445509139......) = 2632491926167346083 * x289108(3208180452......)

n=289181: x289162(2237104775......) = 93949788674492123 * x289145(2381170630......)

n=289181: x289145(2381170630......) = 125659429280101201 * x289128(1894939873......)

n=289243: x289243(1111111111......) = 13868828380330425413 * x289223(8011571566......)

n=289283: x289283(1111111111......) = 813118119287352587 * x289265(1366481799......)

n=289291: x289263(7326517989......) = 7870786914938322409 * x289244(9308494905......)

n=289309: x289302(9601413635......) = 311304678477801791 * x289285(3084249707......)

n=289309: x289285(3084249707......) = 1703026413732783277 * x289267(1811040441......)

n=289607: x289599(7673233273......) = 1523140355316489277 * x289581(5037771632......)

n=289843: x289830(2012560055......) = 13593095982302699693 * x289811(1480575181......)

n=289871: x289863(7666244877......) = 92936977874731997 * x289846(8248863964......)

n=289987: x289980(1126937940......) = 467669451200370253 * x289962(2409689017......)

n=290027: x290027(1111111111......) = 4688631479690657959 * x290008(2369798342......)

n=290039: x290025(4344805606......) = 1356925173839957027 * x290007(3201949297......)

n=290161: x290153(1895688931......) = 3098568362728636991 * x290134(6117950968......)

n=290201: x290201(1111111111......) = 998052919804353839 * x290183(1113278754......)

# gr-mfaktc

# 206895 of 300000 Φn(10) factorizations were cracked. 300000 個中 206895 個の Φn(10) の素因数が見つかりました。

# 19916 of 25997 Rprime factorizations were cracked. 25997 個中 19916 個の Rprime の素因数が見つかりました。

December 13, 2021 2021 年 12 月 13 日 (Kurt Beschorner)

n=287449: x287423(1686378258......) = 274780331966821013 * x287405(6137186917......)

n=287681: x287666(2425217372......) = 10554299395752523843 * x287647(2297847807......)

n=287921: x287910(1520988822......) = 1989541600632778039 * x287891(7644920928......)

n=287933: x287909(5530840452......) = 1155219319990891471 * x287891(4787697328......)

n=288077: x288063(1031245453......) = 8378822751160082227 * x288044(1230776069......)

n=288307: x288283(1663707593......) = 16613868543330748369 * x288264(1001396868......)

n=288313: x288291(2443927969......) = 724206441244789609 * x288273(3374628876......)

n=288433: x288415(4047748744......) = 12376376986461172963 * x288396(3270544157......)

n=288649: x288649(1111111111......) = 1354175825328251311 * x288630(8205072711......)

n=288653: x288636(3331639911......) = 734545171459900973 * x288618(4535650142......)

n=288839: x288831(5657085244......) = 1295919777498490933 * x288813(4365305123......)

# gr-mfaktc

# 206891 of 300000 Φn(10) factorizations were cracked. 300000 個中 206891 個の Φn(10) の素因数が見つかりました。

# 19912 of 25997 Rprime factorizations were cracked. 25997 個中 19912 個の Rprime の素因数が見つかりました。

December 8, 2021 2021 年 12 月 8 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=61409: c61409(1111111111......) = 256913785566596637757573 * c61385(4324840368......)

# ECM B1=5e4, sigma=4337635246770268

n=61559: c61559(1111111111......) = 41904944195265937701279107 * c61533(2651503617......)

# ECM B1=5e4, sigma=5964457003245544

# 206890 of 300000 Φn(10) factorizations were cracked. 300000 個中 206890 個の Φn(10) の素因数が見つかりました。

# 19911 of 25997 Rprime factorizations were cracked. 25997 個中 19911 個の Rprime の素因数が見つかりました。

December 6, 2021 2021 年 12 月 6 日 (Kurt Beschorner)

n=285707: x285687(1542827763......) = 162769869899045197 * x285669(9478583255......)

n=285997: x285984(2031826157......) = 4831747566086444929 * x285965(4205157926......)

n=286199: x286185(8695526642......) = 91580097201791357 * x286168(9494996083......)

n=286483: x286483(1111111111......) = 520362237898763987 * x286465(2135264687......)

n=286673: x286666(6459801848......) = 283753197531467957 * x286649(2276556494......)

n=286711: x286668(6369741469......) = 624670352847135839 * x286651(1019696459......)

n=286753: x286743(4234756332......) = 9375271930807150883 * x286724(4516942403......)

n=286763: x286753(1415558572......) = 12298270017417528253 * x286734(1151022517......)

n=286777: x286777(1111111111......) = 1693933559039842319 * x286758(6559354734......)

n=286801: x286801(1111111111......) = 353354881417802519 * x286783(3144462322......)

n=286813: x286813(1111111111......) = 958171572110470519 * x286795(1159616026......)

n=286859: x286853(1936681739......) = 8030801237810456449 * x286834(2411567267......)

n=287057: x287057(1111111111......) = 88239151695009121 * x287040(1259204207......)

n=287149: x287122(3439016629......) = 10412500847470913827 * x287103(3302776806......)

# gr-mfaktc

# 206888 of 300000 Φn(10) factorizations were cracked. 300000 個中 206888 個の Φn(10) の素因数が見つかりました。

# 19909 of 25997 Rprime factorizations were cracked. 25997 個中 19909 個の Rprime の素因数が見つかりました。

December 2, 2021 2021 年 12 月 2 日 (Kurt Beschorner)

n=90653: c90027(1220628415......) = 214445033709540802180933 * c90003(5692033966......)

# ECM B1=5e4, sigma=0:4329911231673300

n=284651: x284626(7574940467......) = 4240252934906766053 * x284608(1786435994......)

n=284701: x284667(3344013437......) = 18008501114444788477 * x284648(1856908254......)

n=284777: x284765(3946720458......) = 104729417928757759 * x284748(3768492689......)

n=285119: x285119(1111111111......) = 6692492467510082929 * x285100(1660235131......)

n=285161: x285152(3225525101......) = 962492065640054227 * x285134(3351222536......)

n=285179: x285173(1948090783......) = 2930749435078945231 * x285154(6647073816......)

n=285283: x285274(3688227299......) = 1277006858710167707 * x285256(2888181276......)

n=285301: x285301(1111111111......) = 1282107243103148723 * x285282(8666288386......)

n=285457: x285457(1111111111......) = 171550807909502477 * x285439(6476863179......)

n=285539: x285539(1111111111......) = 2169135586142299837 * x285520(5122368183......)

n=285631: x285622(1483609010......) = 159744990004992947 * x285604(9287358623......)

# gr-mfaktc

# 206883 of 300000 Φn(10) factorizations were cracked. 300000 個中 206883 個の Φn(10) の素因数が見つかりました。

# 19904 of 25997 Rprime factorizations were cracked. 25997 個中 19904 個の Rprime の素因数が見つかりました。

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