## 34×10115+119

### c95

name 名前 Robert Backstrom December 2, 2008 22:11:04 UTC 2008 年 12 月 3 日 (水) 7 時 11 分 4 秒 (日本時間) `65276622757457006081426432091868980663147198002143596564155708560164105572476967585475257278453<95>` ```29415027840806636275258180245178147<35> 2219158965639345523025597599430986517293980929370944685537799<61>``` ```GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM] Input number is 65276622757457006081426432091868980663147198002143596564155708560164105572476967585475257278453 (95 digits) Using B1=1164000, B2=1426247560, polynomial Dickson(6), sigma=3694281782 Step 1 took 7140ms Step 2 took 4016ms ********** Factor found in step 2: 29415027840806636275258180245178147 Found probable prime factor of 35 digits: 29415027840806636275258180245178147 Probable prime cofactor 2219158965639345523025597599430986517293980929370944685537799 has 61 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)

## 34×10117+119

### c94

name 名前 Sinkiti Sibata December 3, 2008 04:52:57 UTC 2008 年 12 月 3 日 (水) 13 時 52 分 57 秒 (日本時間) `1037099364697547350622239844153508010917775411986117641986882008559440553594657077145488119077<94>` ```3169840304725009685413906056034592944278811<43> 327177165093027581456207742002827740502041351113407<51>``` ```Wed Dec 03 08:05:31 2008 Msieve v. 1.38 Wed Dec 03 08:05:31 2008 random seeds: f67d6428 21c1cf72 Wed Dec 03 08:05:31 2008 factoring 1037099364697547350622239844153508010917775411986117641986882008559440553594657077145488119077 (94 digits) Wed Dec 03 08:05:32 2008 searching for 15-digit factors Wed Dec 03 08:05:33 2008 commencing quadratic sieve (94-digit input) Wed Dec 03 08:05:33 2008 using multiplier of 13 Wed Dec 03 08:05:33 2008 using 32kb Intel Core sieve core Wed Dec 03 08:05:33 2008 sieve interval: 36 blocks of size 32768 Wed Dec 03 08:05:33 2008 processing polynomials in batches of 6 Wed Dec 03 08:05:33 2008 using a sieve bound of 1956883 (72881 primes) Wed Dec 03 08:05:33 2008 using large prime bound of 244610375 (27 bits) Wed Dec 03 08:05:33 2008 using double large prime bound of 1256766767596625 (42-51 bits) Wed Dec 03 08:05:33 2008 using trial factoring cutoff of 51 bits Wed Dec 03 08:05:33 2008 polynomial 'A' values have 12 factors Wed Dec 03 10:37:52 2008 73001 relations (18382 full + 54619 combined from 986077 partial), need 72977 Wed Dec 03 10:37:55 2008 begin with 1004459 relations Wed Dec 03 10:37:56 2008 reduce to 185777 relations in 10 passes Wed Dec 03 10:37:56 2008 attempting to read 185777 relations Wed Dec 03 10:37:59 2008 recovered 185777 relations Wed Dec 03 10:37:59 2008 recovered 167454 polynomials Wed Dec 03 10:37:59 2008 attempting to build 73001 cycles Wed Dec 03 10:37:59 2008 found 73001 cycles in 6 passes Wed Dec 03 10:37:59 2008 distribution of cycle lengths: Wed Dec 03 10:37:59 2008 length 1 : 18382 Wed Dec 03 10:37:59 2008 length 2 : 13268 Wed Dec 03 10:37:59 2008 length 3 : 12616 Wed Dec 03 10:37:59 2008 length 4 : 9675 Wed Dec 03 10:37:59 2008 length 5 : 7349 Wed Dec 03 10:37:59 2008 length 6 : 4767 Wed Dec 03 10:37:59 2008 length 7 : 3037 Wed Dec 03 10:37:59 2008 length 9+: 3907 Wed Dec 03 10:37:59 2008 largest cycle: 18 relations Wed Dec 03 10:38:00 2008 matrix is 72881 x 73001 (18.7 MB) with weight 4622762 (63.32/col) Wed Dec 03 10:38:00 2008 sparse part has weight 4622762 (63.32/col) Wed Dec 03 10:38:00 2008 filtering completed in 3 passes Wed Dec 03 10:38:00 2008 matrix is 69106 x 69170 (17.9 MB) with weight 4413229 (63.80/col) Wed Dec 03 10:38:00 2008 sparse part has weight 4413229 (63.80/col) Wed Dec 03 10:38:01 2008 saving the first 48 matrix rows for later Wed Dec 03 10:38:01 2008 matrix is 69058 x 69170 (11.1 MB) with weight 3457078 (49.98/col) Wed Dec 03 10:38:01 2008 sparse part has weight 2486624 (35.95/col) Wed Dec 03 10:38:01 2008 matrix includes 64 packed rows Wed Dec 03 10:38:01 2008 using block size 27668 for processor cache size 1024 kB Wed Dec 03 10:38:02 2008 commencing Lanczos iteration Wed Dec 03 10:38:02 2008 memory use: 10.8 MB Wed Dec 03 10:38:33 2008 lanczos halted after 1093 iterations (dim = 69054) Wed Dec 03 10:38:33 2008 recovered 15 nontrivial dependencies Wed Dec 03 10:38:34 2008 prp43 factor: 3169840304725009685413906056034592944278811 Wed Dec 03 10:38:34 2008 prp51 factor: 327177165093027581456207742002827740502041351113407 Wed Dec 03 10:38:34 2008 elapsed time 02:33:03```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)

## 34×10119+119

### c105

name 名前 Serge Batalov December 3, 2008 02:41:24 UTC 2008 年 12 月 3 日 (水) 11 時 41 分 24 秒 (日本時間) `531430209183635626101673509948954022583701742093667870559637533214565867046554682600715495943222357024593<105>` ```134550578004032969503029919091315931135151<42> 3949668719875040095385887177491447940304626316925380622724998143<64>``` ```SNFS difficulty: 121 digits. Divisors found: r1=134550578004032969503029919091315931135151 (pp42) r2=3949668719875040095385887177491447940304626316925380622724998143 (pp64) Version: Msieve-1.38 Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.951). Factorization parameters were as follows: n: 531430209183635626101673509948954022583701742093667870559637533214565867046554682600715495943222357024593 m: 1000000000000000000000000 deg: 5 c5: 17 c0: 55 skew: 1.26 type: snfs lss: 1 rlim: 730000 alim: 730000 lpbr: 25 lpba: 25 mfbr: 48 mfba: 48 rlambda: 2.2 alambda: 2.2 Factor base limits: 730000/730000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 48/48 Sieved rational special-q in [365000, 615001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 77656 x 77874 Total sieving time: 0.00 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,121,5,0,0,0,0,0,0,0,0,730000,730000,25,25,48,48,2.2,2.2,50000 total time: 1.00 hours.``` `Msieve-1.38` `Opteron-2.6GHz; Linux x86_64`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)

## 34×10122+119

### c90

name 名前 Erik Branger December 2, 2008 17:58:39 UTC 2008 年 12 月 3 日 (水) 2 時 58 分 39 秒 (日本時間) `787761199357795842149902004718574687702229628244577845033345679589374961514450685290222523<90>` ```125930051109900781050517676232507094612633<42> 6255545776522447969252532683162886614264007977331<49>``` ```Tue Dec 02 17:23:35 2008 Msieve v. 1.38 Tue Dec 02 17:23:35 2008 random seeds: 8794fe44 d9316f60 Tue Dec 02 17:23:35 2008 factoring 787761199357795842149902004718574687702229628244577845033345679589374961514450685290222523 (90 digits) Tue Dec 02 17:23:37 2008 searching for 15-digit factors Tue Dec 02 17:23:38 2008 commencing quadratic sieve (90-digit input) Tue Dec 02 17:23:38 2008 using multiplier of 35 Tue Dec 02 17:23:38 2008 using 32kb Intel Core sieve core Tue Dec 02 17:23:38 2008 sieve interval: 36 blocks of size 32768 Tue Dec 02 17:23:38 2008 processing polynomials in batches of 6 Tue Dec 02 17:23:38 2008 using a sieve bound of 1613669 (61176 primes) Tue Dec 02 17:23:38 2008 using large prime bound of 135548196 (27 bits) Tue Dec 02 17:23:38 2008 using double large prime bound of 434278798718520 (42-49 bits) Tue Dec 02 17:23:38 2008 using trial factoring cutoff of 49 bits Tue Dec 02 17:23:38 2008 polynomial 'A' values have 12 factors Tue Dec 02 18:51:53 2008 61673 relations (16166 full + 45507 combined from 667782 partial), need 61272 Tue Dec 02 18:51:54 2008 begin with 683948 relations Tue Dec 02 18:51:54 2008 reduce to 151269 relations in 9 passes Tue Dec 02 18:51:54 2008 attempting to read 151269 relations Tue Dec 02 18:51:57 2008 recovered 151269 relations Tue Dec 02 18:51:57 2008 recovered 131708 polynomials Tue Dec 02 18:51:57 2008 attempting to build 61673 cycles Tue Dec 02 18:51:57 2008 found 61673 cycles in 6 passes Tue Dec 02 18:51:57 2008 distribution of cycle lengths: Tue Dec 02 18:51:57 2008 length 1 : 16166 Tue Dec 02 18:51:57 2008 length 2 : 11786 Tue Dec 02 18:51:57 2008 length 3 : 10982 Tue Dec 02 18:51:57 2008 length 4 : 8304 Tue Dec 02 18:51:57 2008 length 5 : 5824 Tue Dec 02 18:51:57 2008 length 6 : 3724 Tue Dec 02 18:51:57 2008 length 7 : 2254 Tue Dec 02 18:51:57 2008 length 9+: 2633 Tue Dec 02 18:51:57 2008 largest cycle: 20 relations Tue Dec 02 18:51:57 2008 matrix is 61176 x 61673 (15.1 MB) with weight 3720091 (60.32/col) Tue Dec 02 18:51:57 2008 sparse part has weight 3720091 (60.32/col) Tue Dec 02 18:51:57 2008 filtering completed in 3 passes Tue Dec 02 18:51:57 2008 matrix is 57401 x 57465 (14.1 MB) with weight 3463249 (60.27/col) Tue Dec 02 18:51:57 2008 sparse part has weight 3463249 (60.27/col) Tue Dec 02 18:51:58 2008 saving the first 48 matrix rows for later Tue Dec 02 18:51:58 2008 matrix is 57353 x 57465 (8.6 MB) with weight 2677561 (46.59/col) Tue Dec 02 18:51:58 2008 sparse part has weight 1902579 (33.11/col) Tue Dec 02 18:51:58 2008 matrix includes 64 packed rows Tue Dec 02 18:51:58 2008 using block size 22986 for processor cache size 2048 kB Tue Dec 02 18:51:58 2008 commencing Lanczos iteration Tue Dec 02 18:51:58 2008 memory use: 8.5 MB Tue Dec 02 18:52:16 2008 lanczos halted after 908 iterations (dim = 57350) Tue Dec 02 18:52:17 2008 recovered 17 nontrivial dependencies Tue Dec 02 18:52:17 2008 prp42 factor: 125930051109900781050517676232507094612633 Tue Dec 02 18:52:17 2008 prp49 factor: 6255545776522447969252532683162886614264007977331 Tue Dec 02 18:52:17 2008 elapsed time 01:28:42``` `Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)

## 34×10125+119

### c105

name 名前 Sinkiti Sibata December 3, 2008 12:11:36 UTC 2008 年 12 月 3 日 (水) 21 時 11 分 36 秒 (日本時間) `356432873427831627112679318770660365172752354788089110074530458749791280922615989414199535547912738293703<105>` ```5443398684485062745608459470540440836230952784999<49> 65479839726556724918536912328130937246647388805273851297<56>``` ```Number: 37779_125 N=356432873427831627112679318770660365172752354788089110074530458749791280922615989414199535547912738293703 ( 105 digits) SNFS difficulty: 126 digits. Divisors found: r1=5443398684485062745608459470540440836230952784999 (pp49) r2=65479839726556724918536912328130937246647388805273851297 (pp56) Version: GGNFS-0.77.1-20060513-k8 Total time: 2.85 hours. Scaled time: 5.70 units (timescale=2.003). Factorization parameters were as follows: name: 37779_125 n: 356432873427831627112679318770660365172752354788089110074530458749791280922615989414199535547912738293703 m: 10000000000000000000000000 deg: 5 c5: 34 c0: 11 skew: 0.80 type: snfs lss: 1 rlim: 900000 alim: 900000 lpbr: 26 lpba: 26 mfbr: 46 mfba: 46 rlambda: 2.3 alambda: 2.3 Factor base limits: 900000/900000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 46/46 Sieved rational special-q in [450000, 700001) Primes: RFBsize:71274, AFBsize:71741, largePrimes:2573592 encountered Relations: rels:2543913, finalFF:259396 Max relations in full relation-set: 28 Initial matrix: 143081 x 259396 with sparse part having weight 19576840. Pruned matrix : 111447 x 112226 with weight 6001097. Total sieving time: 2.68 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.06 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,126,5,0,0,0,0,0,0,0,0,900000,900000,26,26,46,46,2.3,2.3,50000 total time: 2.85 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)

## 34×10127+119

### c120

name 名前 Sinkiti Sibata December 3, 2008 14:55:09 UTC 2008 年 12 月 3 日 (水) 23 時 55 分 9 秒 (日本時間) `371420364817581295705645061145137640800394237810241163013469359618560286814126647162880800190131395645525103793939844371<120>` ```3094954575702726439122095056342669879877024807<46> 120008341231712023239286079666107104918324943560165096405970394211220012853<75>``` ```Number: 37779_127 N=371420364817581295705645061145137640800394237810241163013469359618560286814126647162880800190131395645525103793939844371 ( 120 digits) SNFS difficulty: 129 digits. Divisors found: r1=3094954575702726439122095056342669879877024807 (pp46) r2=120008341231712023239286079666107104918324943560165096405970394211220012853 (pp75) Version: GGNFS-0.77.1-20060513-k8 Total time: 4.45 hours. Scaled time: 8.88 units (timescale=1.997). Factorization parameters were as follows: name: 37779_127 n: 371420364817581295705645061145137640800394237810241163013469359618560286814126647162880800190131395645525103793939844371 m: 20000000000000000000000000 deg: 5 c5: 425 c0: 44 skew: 0.64 type: snfs lss: 1 rlim: 990000 alim: 990000 lpbr: 26 lpba: 26 mfbr: 47 mfba: 47 rlambda: 2.3 alambda: 2.3 Factor base limits: 990000/990000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 47/47 Sieved rational special-q in [495000, 945001) Primes: RFBsize:77777, AFBsize:78173, largePrimes:2831875 encountered Relations: rels:2808267, finalFF:268001 Max relations in full relation-set: 28 Initial matrix: 156017 x 268001 with sparse part having weight 23094868. Pruned matrix : 131845 x 132689 with weight 8336932. Total sieving time: 4.20 hours. Total relation processing time: 0.07 hours. Matrix solve time: 0.11 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: snfs,129,5,0,0,0,0,0,0,0,0,990000,990000,26,26,47,47,2.3,2.3,50000 total time: 4.45 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)

## 34×10132+119

### c114

name 名前 Sinkiti Sibata December 3, 2008 09:45:57 UTC 2008 年 12 月 3 日 (水) 18 時 45 分 57 秒 (日本時間) `187980725340813251363795528979449026243397065229977082464549401564536900145928473447874479402007304069611129124539<114>` ```704443609565155929330823351494758617941251<42> 266849926365080321478332525760082425809629672857355064497940552907853289<72>``` ```Number: 37779_132 N=187980725340813251363795528979449026243397065229977082464549401564536900145928473447874479402007304069611129124539 ( 114 digits) SNFS difficulty: 134 digits. Divisors found: r1=704443609565155929330823351494758617941251 (pp42) r2=266849926365080321478332525760082425809629672857355064497940552907853289 (pp72) Version: GGNFS-0.77.1-20060513-k8 Total time: 7.58 hours. Scaled time: 15.14 units (timescale=1.997). Factorization parameters were as follows: name: 37779_132 n: 187980725340813251363795528979449026243397065229977082464549401564536900145928473447874479402007304069611129124539 m: 200000000000000000000000000 deg: 5 c5: 425 c0: 44 skew: 0.64 type: snfs lss: 1 rlim: 1200000 alim: 1200000 lpbr: 26 lpba: 26 mfbr: 47 mfba: 47 rlambda: 2.3 alambda: 2.3 Factor base limits: 1200000/1200000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 47/47 Sieved rational special-q in [600000, 1275001) Primes: RFBsize:92938, AFBsize:93250, largePrimes:3205408 encountered Relations: rels:3226583, finalFF:291905 Max relations in full relation-set: 28 Initial matrix: 186255 x 291905 with sparse part having weight 27574321. Pruned matrix : 161015 x 162010 with weight 12254657. Total sieving time: 7.17 hours. Total relation processing time: 0.09 hours. Matrix solve time: 0.24 hours. Time per square root: 0.08 hours. Prototype def-par.txt line would be: snfs,134,5,0,0,0,0,0,0,0,0,1200000,1200000,26,26,47,47,2.3,2.3,75000 total time: 7.58 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)

## 34×10133+119

### c92

name 名前 Erik Branger December 2, 2008 20:29:20 UTC 2008 年 12 月 3 日 (水) 5 時 29 分 20 秒 (日本時間) `89404749163222650076866820667644652085586696566770446146303782255448909690029097440945165903<92>` ```1611364825756490385391657092199601092037<40> 55483865437642055596519639266633036099126609006735619<53>``` ```Tue Dec 02 18:59:21 2008 Msieve v. 1.38 Tue Dec 02 18:59:21 2008 random seeds: db3297c8 282ae7cc Tue Dec 02 18:59:21 2008 factoring 89404749163222650076866820667644652085586696566770446146303782255448909690029097440945165903 (92 digits) Tue Dec 02 18:59:22 2008 searching for 15-digit factors Tue Dec 02 18:59:24 2008 commencing quadratic sieve (92-digit input) Tue Dec 02 18:59:24 2008 using multiplier of 3 Tue Dec 02 18:59:24 2008 using 32kb Intel Core sieve core Tue Dec 02 18:59:24 2008 sieve interval: 36 blocks of size 32768 Tue Dec 02 18:59:24 2008 processing polynomials in batches of 6 Tue Dec 02 18:59:24 2008 using a sieve bound of 1853669 (69412 primes) Tue Dec 02 18:59:24 2008 using large prime bound of 209464597 (27 bits) Tue Dec 02 18:59:24 2008 using double large prime bound of 950602707335250 (42-50 bits) Tue Dec 02 18:59:24 2008 using trial factoring cutoff of 50 bits Tue Dec 02 18:59:24 2008 polynomial 'A' values have 12 factors Tue Dec 02 21:27:12 2008 69578 relations (17573 full + 52005 combined from 892740 partial), need 69508 Tue Dec 02 21:27:16 2008 begin with 910313 relations Tue Dec 02 21:27:16 2008 reduce to 176228 relations in 11 passes Tue Dec 02 21:27:16 2008 attempting to read 176228 relations Tue Dec 02 21:27:19 2008 recovered 176228 relations Tue Dec 02 21:27:19 2008 recovered 158671 polynomials Tue Dec 02 21:27:19 2008 attempting to build 69578 cycles Tue Dec 02 21:27:19 2008 found 69578 cycles in 5 passes Tue Dec 02 21:27:19 2008 distribution of cycle lengths: Tue Dec 02 21:27:19 2008 length 1 : 17573 Tue Dec 02 21:27:19 2008 length 2 : 12601 Tue Dec 02 21:27:19 2008 length 3 : 11959 Tue Dec 02 21:27:19 2008 length 4 : 9471 Tue Dec 02 21:27:19 2008 length 5 : 6955 Tue Dec 02 21:27:19 2008 length 6 : 4600 Tue Dec 02 21:27:19 2008 length 7 : 2814 Tue Dec 02 21:27:19 2008 length 9+: 3605 Tue Dec 02 21:27:19 2008 largest cycle: 18 relations Tue Dec 02 21:27:20 2008 matrix is 69412 x 69578 (17.6 MB) with weight 4325156 (62.16/col) Tue Dec 02 21:27:20 2008 sparse part has weight 4325156 (62.16/col) Tue Dec 02 21:27:20 2008 filtering completed in 3 passes Tue Dec 02 21:27:20 2008 matrix is 65648 x 65712 (16.7 MB) with weight 4116478 (62.64/col) Tue Dec 02 21:27:20 2008 sparse part has weight 4116478 (62.64/col) Tue Dec 02 21:27:20 2008 saving the first 48 matrix rows for later Tue Dec 02 21:27:21 2008 matrix is 65600 x 65712 (10.3 MB) with weight 3244072 (49.37/col) Tue Dec 02 21:27:21 2008 sparse part has weight 2314877 (35.23/col) Tue Dec 02 21:27:21 2008 matrix includes 64 packed rows Tue Dec 02 21:27:21 2008 using block size 26284 for processor cache size 2048 kB Tue Dec 02 21:27:21 2008 commencing Lanczos iteration Tue Dec 02 21:27:21 2008 memory use: 10.1 MB Tue Dec 02 21:27:47 2008 lanczos halted after 1039 iterations (dim = 65598) Tue Dec 02 21:27:47 2008 recovered 17 nontrivial dependencies Tue Dec 02 21:27:47 2008 prp40 factor: 1611364825756490385391657092199601092037 Tue Dec 02 21:27:47 2008 prp53 factor: 55483865437642055596519639266633036099126609006735619 Tue Dec 02 21:27:47 2008 elapsed time 02:28:26``` `Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)

## 34×10134+119

### c101

name 名前 Sinkiti Sibata December 4, 2008 07:20:10 UTC 2008 年 12 月 4 日 (木) 16 時 20 分 10 秒 (日本時間) `24447865674387749360043877876481953138437871115753646983888106437925276699437543296241688205156588003<101>` ```881826597797799257233689206803<30> 27724119158394433966044807026838624228049298969437410695567232496220401<71>``` ```Thu Dec 04 00:18:05 2008 Msieve v. 1.38 Thu Dec 04 00:18:05 2008 random seeds: c33abc40 4e1f0ddc Thu Dec 04 00:18:05 2008 factoring 24447865674387749360043877876481953138437871115753646983888106437925276699437543296241688205156588003 (101 digits) Thu Dec 04 00:18:06 2008 searching for 15-digit factors Thu Dec 04 00:18:07 2008 commencing quadratic sieve (101-digit input) Thu Dec 04 00:18:07 2008 using multiplier of 3 Thu Dec 04 00:18:07 2008 using 32kb Intel Core sieve core Thu Dec 04 00:18:07 2008 sieve interval: 36 blocks of size 32768 Thu Dec 04 00:18:07 2008 processing polynomials in batches of 6 Thu Dec 04 00:18:07 2008 using a sieve bound of 2899627 (105000 primes) Thu Dec 04 00:18:07 2008 using large prime bound of 434944050 (28 bits) Thu Dec 04 00:18:07 2008 using double large prime bound of 3541441458762600 (43-52 bits) Thu Dec 04 00:18:07 2008 using trial factoring cutoff of 52 bits Thu Dec 04 00:18:07 2008 polynomial 'A' values have 13 factors Thu Dec 04 15:35:22 2008 105169 relations (24457 full + 80712 combined from 1588835 partial), need 105096 Thu Dec 04 15:35:24 2008 begin with 1613292 relations Thu Dec 04 15:35:26 2008 reduce to 279532 relations in 11 passes Thu Dec 04 15:35:26 2008 attempting to read 279532 relations Thu Dec 04 15:35:31 2008 recovered 279532 relations Thu Dec 04 15:35:31 2008 recovered 271621 polynomials Thu Dec 04 15:35:31 2008 attempting to build 105169 cycles Thu Dec 04 15:35:32 2008 found 105169 cycles in 6 passes Thu Dec 04 15:35:32 2008 distribution of cycle lengths: Thu Dec 04 15:35:32 2008 length 1 : 24457 Thu Dec 04 15:35:32 2008 length 2 : 17837 Thu Dec 04 15:35:32 2008 length 3 : 17389 Thu Dec 04 15:35:32 2008 length 4 : 14579 Thu Dec 04 15:35:32 2008 length 5 : 11211 Thu Dec 04 15:35:32 2008 length 6 : 7688 Thu Dec 04 15:35:32 2008 length 7 : 4891 Thu Dec 04 15:35:32 2008 length 9+: 7117 Thu Dec 04 15:35:32 2008 largest cycle: 20 relations Thu Dec 04 15:35:32 2008 matrix is 105000 x 105169 (29.4 MB) with weight 7290438 (69.32/col) Thu Dec 04 15:35:32 2008 sparse part has weight 7290438 (69.32/col) Thu Dec 04 15:35:33 2008 filtering completed in 3 passes Thu Dec 04 15:35:33 2008 matrix is 101030 x 101094 (28.4 MB) with weight 7048029 (69.72/col) Thu Dec 04 15:35:33 2008 sparse part has weight 7048029 (69.72/col) Thu Dec 04 15:35:34 2008 saving the first 48 matrix rows for later Thu Dec 04 15:35:34 2008 matrix is 100982 x 101094 (17.7 MB) with weight 5595506 (55.35/col) Thu Dec 04 15:35:34 2008 sparse part has weight 4029442 (39.86/col) Thu Dec 04 15:35:34 2008 matrix includes 64 packed rows Thu Dec 04 15:35:34 2008 using block size 40437 for processor cache size 1024 kB Thu Dec 04 15:35:35 2008 commencing Lanczos iteration Thu Dec 04 15:35:35 2008 memory use: 17.1 MB Thu Dec 04 15:37:01 2008 lanczos halted after 1598 iterations (dim = 100980) Thu Dec 04 15:37:02 2008 recovered 16 nontrivial dependencies Thu Dec 04 15:37:03 2008 prp30 factor: 881826597797799257233689206803 Thu Dec 04 15:37:03 2008 prp71 factor: 27724119158394433966044807026838624228049298969437410695567232496220401 Thu Dec 04 15:37:03 2008 elapsed time 15:18:58```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)

## 34×10135+119

### c99

name 名前 Serge Batalov December 2, 2008 18:05:58 UTC 2008 年 12 月 3 日 (水) 3 時 5 分 58 秒 (日本時間) `921988849227263294044333772651184411462748175016738053831161521532778430268134522035693136038196151<99>` ```1841221420817442296175794794789<31> 500748491627872924290376533581931521233778005915252163983598241292459<69>``` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=327529411 Step 1 took 12949ms Step 2 took 10136ms ********** Factor found in step 2: 1841221420817442296175794794789 Found probable prime factor of 31 digits: 1841221420817442296175794794789 Probable prime cofactor 500748491627872924290376533581931521233778005915252163983598241292459 has 69 digits``` `GMP-ECM 6.2.1`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)

## 34×10136+119

### c99

name 名前 Sinkiti Sibata December 3, 2008 15:16:14 UTC 2008 年 12 月 4 日 (木) 0 時 16 分 14 秒 (日本時間) `390730453035247059146522489228493483467865317468685394145951389981862136141644394648757538586705547<99>` ```129875636537331934293962710004963<33> 3008496924078089501053188927281925523873777858397632239079606003769<67>``` ```Wed Dec 03 13:56:27 2008 Msieve v. 1.38 Wed Dec 03 13:56:27 2008 random seeds: 2557077c 08d5cfb5 Wed Dec 03 13:56:27 2008 factoring 390730453035247059146522489228493483467865317468685394145951389981862136141644394648757538586705547 (99 digits) Wed Dec 03 13:56:28 2008 searching for 15-digit factors Wed Dec 03 13:56:29 2008 commencing quadratic sieve (99-digit input) Wed Dec 03 13:56:30 2008 using multiplier of 3 Wed Dec 03 13:56:30 2008 using 32kb Intel Core sieve core Wed Dec 03 13:56:30 2008 sieve interval: 36 blocks of size 32768 Wed Dec 03 13:56:30 2008 processing polynomials in batches of 6 Wed Dec 03 13:56:30 2008 using a sieve bound of 2612039 (95294 primes) Wed Dec 03 13:56:30 2008 using large prime bound of 391805850 (28 bits) Wed Dec 03 13:56:30 2008 using double large prime bound of 2934456164566950 (43-52 bits) Wed Dec 03 13:56:30 2008 using trial factoring cutoff of 52 bits Wed Dec 03 13:56:30 2008 polynomial 'A' values have 13 factors Thu Dec 04 00:07:06 2008 95638 relations (22183 full + 73455 combined from 1444910 partial), need 95390 Thu Dec 04 00:07:08 2008 begin with 1467093 relations Thu Dec 04 00:07:10 2008 reduce to 254155 relations in 10 passes Thu Dec 04 00:07:10 2008 attempting to read 254155 relations Thu Dec 04 00:07:14 2008 recovered 254155 relations Thu Dec 04 00:07:14 2008 recovered 244846 polynomials Thu Dec 04 00:07:14 2008 attempting to build 95638 cycles Thu Dec 04 00:07:15 2008 found 95638 cycles in 6 passes Thu Dec 04 00:07:15 2008 distribution of cycle lengths: Thu Dec 04 00:07:15 2008 length 1 : 22183 Thu Dec 04 00:07:15 2008 length 2 : 16132 Thu Dec 04 00:07:15 2008 length 3 : 16184 Thu Dec 04 00:07:15 2008 length 4 : 13158 Thu Dec 04 00:07:15 2008 length 5 : 10093 Thu Dec 04 00:07:15 2008 length 6 : 6935 Thu Dec 04 00:07:15 2008 length 7 : 4505 Thu Dec 04 00:07:15 2008 length 9+: 6448 Thu Dec 04 00:07:15 2008 largest cycle: 20 relations Thu Dec 04 00:07:15 2008 matrix is 95294 x 95638 (25.8 MB) with weight 6383703 (66.75/col) Thu Dec 04 00:07:15 2008 sparse part has weight 6383703 (66.75/col) Thu Dec 04 00:07:16 2008 filtering completed in 3 passes Thu Dec 04 00:07:16 2008 matrix is 91652 x 91716 (24.8 MB) with weight 6140115 (66.95/col) Thu Dec 04 00:07:16 2008 sparse part has weight 6140115 (66.95/col) Thu Dec 04 00:07:17 2008 saving the first 48 matrix rows for later Thu Dec 04 00:07:17 2008 matrix is 91604 x 91716 (14.6 MB) with weight 4748001 (51.77/col) Thu Dec 04 00:07:17 2008 sparse part has weight 3267205 (35.62/col) Thu Dec 04 00:07:17 2008 matrix includes 64 packed rows Thu Dec 04 00:07:17 2008 using block size 36686 for processor cache size 1024 kB Thu Dec 04 00:07:18 2008 commencing Lanczos iteration Thu Dec 04 00:07:18 2008 memory use: 14.7 MB Thu Dec 04 00:08:20 2008 lanczos halted after 1450 iterations (dim = 91602) Thu Dec 04 00:08:21 2008 recovered 16 nontrivial dependencies Thu Dec 04 00:08:21 2008 prp33 factor: 129875636537331934293962710004963 Thu Dec 04 00:08:21 2008 prp67 factor: 3008496924078089501053188927281925523873777858397632239079606003769 Thu Dec 04 00:08:21 2008 elapsed time 10:11:54```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)

## 34×10137+119

### c136

name 名前 Serge Batalov December 3, 2008 03:54:39 UTC 2008 年 12 月 3 日 (水) 12 時 54 分 39 秒 (日本時間) `1206957756478523251686190983315583954561590344337948171813986510472133475328363507277245296414625488107916222932197373091941782037628683<136>` ```24601879358045760753375775352802939606580539840588556396176557740009<68> 49059575445962897342059554987416196312658920843681835646967035583187<68>``` ```# Yes, Virginia, there is a Santa Claus. A Nice split for me, too, finally :-) # SNFS difficulty: 139 digits. Divisors found: r1=24601879358045760753375775352802939606580539840588556396176557740009 (pp68) r2=49059575445962897342059554987416196312658920843681835646967035583187 (pp68) Version: Msieve-1.38 Total time: 5.50 hours. Scaled time: 0.00 units (timescale=2.952). Factorization parameters were as follows: n: 1206957756478523251686190983315583954561590344337948171813986510472133475328363507277245296414625488107916222932197373091941782037628683 m: 2000000000000000000000000000 deg: 5 c5: 425 c0: 44 skew: 0.64 type: snfs lss: 1 rlim: 1460000 alim: 1460000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.4 alambda: 2.4 Factor base limits: 1460000/1460000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved rational special-q in [730000, 1630001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 240114 x 240356 Total sieving time: 0.00 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,139,5,0,0,0,0,0,0,0,0,1460000,1460000,26,26,48,48,2.4,2.4,150000 total time: 5.50 hours.```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)

## 34×10138+119

### c131

name 名前 Sinkiti Sibata December 3, 2008 09:10:23 UTC 2008 年 12 月 3 日 (水) 18 時 10 分 23 秒 (日本時間) `26969415745753727163539141315520967057760555553084681142378412611013660696795325779528375245324414915599415694281803994657983796637<131>` ```334616317985480536983994258642411534504181<42> 80598029134143922014930835608991813141358557739630559737319918330172366613804758172608777<89>``` ```Number: 37779_138 N=26969415745753727163539141315520967057760555553084681142378412611013660696795325779528375245324414915599415694281803994657983796637 ( 131 digits) SNFS difficulty: 140 digits. Divisors found: r1=334616317985480536983994258642411534504181 (pp42) r2=80598029134143922014930835608991813141358557739630559737319918330172366613804758172608777 (pp89) Version: GGNFS-0.77.1-20060513-nocona Total time: 11.59 hours. Scaled time: 29.73 units (timescale=2.564). Factorization parameters were as follows: name: 37779_138 n: 26969415745753727163539141315520967057760555553084681142378412611013660696795325779528375245324414915599415694281803994657983796637 m: 5000000000000000000000000000 deg: 5 c5: 272 c0: 275 skew: 1.00 type: snfs lss: 1 rlim: 1560000 alim: 1560000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 Factor base limits: 1560000/1560000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved rational special-q in [780000, 1680001) Primes: RFBsize:118376, AFBsize:118390, largePrimes:4197288 encountered Relations: rels:4867657, finalFF:874717 Max relations in full relation-set: 28 Initial matrix: 236833 x 874717 with sparse part having weight 87846157. Pruned matrix : 157212 x 158460 with weight 21375811. Total sieving time: 11.28 hours. Total relation processing time: 0.08 hours. Matrix solve time: 0.18 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: snfs,140,5,0,0,0,0,0,0,0,0,1560000,1560000,26,26,48,48,2.3,2.3,100000 total time: 11.59 hours. --------- CPU info (if available) ----------``` `Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)

## 34×10140+119

### c131

name 名前 Sinkiti Sibata December 3, 2008 12:27:20 UTC 2008 年 12 月 3 日 (水) 21 時 27 分 20 秒 (日本時間) `14890692334124013938426445413695471439527746160882064829320446619056609555256489725739314484031578937209695694518373562136729931809<131>` ```5286853178190512842446697555047849243640583<43> 2816551137745142953027574742897451096765053262076789526378442459821368042472899695804823<88>``` ```Number: 37779_140 N=14890692334124013938426445413695471439527746160882064829320446619056609555256489725739314484031578937209695694518373562136729931809 ( 131 digits) SNFS difficulty: 141 digits. Divisors found: r1=5286853178190512842446697555047849243640583 (pp43) r2=2816551137745142953027574742897451096765053262076789526378442459821368042472899695804823 (pp88) Version: GGNFS-0.77.1-20060513-nocona Total time: 11.70 hours. Scaled time: 30.12 units (timescale=2.575). Factorization parameters were as follows: name: 37779_140 n: 14890692334124013938426445413695471439527746160882064829320446619056609555256489725739314484031578937209695694518373562136729931809 m: 10000000000000000000000000000 deg: 5 c5: 34 c0: 11 skew: 0.80 type: snfs lss: 1 rlim: 1600000 alim: 1600000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 Factor base limits: 1600000/1600000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved rational special-q in [800000, 1700001) Primes: RFBsize:121127, AFBsize:121741, largePrimes:4134768 encountered Relations: rels:4641289, finalFF:712757 Max relations in full relation-set: 28 Initial matrix: 242934 x 712757 with sparse part having weight 74251615. Pruned matrix : 167601 x 168879 with weight 21800021. Total sieving time: 11.36 hours. Total relation processing time: 0.07 hours. Matrix solve time: 0.21 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: snfs,141,5,0,0,0,0,0,0,0,0,1600000,1600000,26,26,48,48,2.3,2.3,100000 total time: 11.70 hours. --------- CPU info (if available) ----------``` `Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)

## 34×10141+119

### c139

name 名前 Serge Batalov December 3, 2008 04:51:50 UTC 2008 年 12 月 3 日 (水) 13 時 51 分 50 秒 (日本時間) `4557029888754858598043157753652325425546173435196354376088996113121565473797078139659563061251842916499128803109502747620962337488272349551<139>` ```39514398764869549287206850885745348933<38> 115325806065567829009781861388333198225804023813540351062894513229056794230954742920893255484355270947<102>``` ```SNFS difficulty: 143 digits. Divisors found: r1=39514398764869549287206850885745348933 (pp38) r2=115325806065567829009781861388333198225804023813540351062894513229056794230954742920893255484355270947 (pp102) Version: Msieve-1.39 Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.951). Factorization parameters were as follows: n: 4557029888754858598043157753652325425546173435196354376088996113121565473797078139659563061251842916499128803109502747620962337488272349551 m: 20000000000000000000000000000 deg: 5 c5: 85 c0: 88 skew: 1 type: snfs lss: 1 rlim: 1720000 alim: 1720000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.4 alambda: 2.4 Factor base limits: 1720000/1720000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved rational special-q in [860000, 1860001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 322040 x 322288 Total sieving time: 0.00 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,143,5,0,0,0,0,0,0,0,0,1720000,1720000,26,26,48,48,2.4,2.4,200000 total time: 6.00 hours.``` `Opteron-2.6GHz; Linux x86_64`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)

## 34×10148+119

### c126

name 名前 Serge Batalov December 2, 2008 18:13:53 UTC 2008 年 12 月 3 日 (水) 3 時 13 分 53 秒 (日本時間) `597948633029211174851231113187237676941838192499547749899828887569251049288932753419594475286864042539371272045997382709663807<126>` ```136061100348900004453193777393<30> 4394706727315139875544870349149726531886612053921328903129416402633146507216189846137880348388399<97>``` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=452164895 Step 1 took 12205ms Step 2 took 4977ms ********** Factor found in step 2: 136061100348900004453193777393 Found probable prime factor of 30 digits: 136061100348900004453193777393 Probable prime cofactor 4394706727315139875544870349149726531886612053921328903129416402633146507216189846137880348388399 has 97 digits``` `GMP-ECM 6.2.1`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)

## 34×10150+119

### c148

name 名前 Serge Batalov December 3, 2008 18:29:30 UTC 2008 年 12 月 4 日 (木) 3 時 29 分 30 秒 (日本時間) `6162769621170926228022475983324270436831611382998006162769621170926228022475983324270436831611382998006162769621170926228022475983324270436831611383<148>` ```5474723484518379372701766368967546866644000693<46> 1125676874566949097792931739812198215757230882784080543645476831099365405414404627756124731207967774331<103>``` ```SNFS difficulty: 151 digits. Divisors found: r1=5474723484518379372701766368967546866644000693 (pp46) r2=1125676874566949097792931739812198215757230882784080543645476831099365405414404627756124731207967774331 (pp103) Version: Msieve-1.39 Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.530). Factorization parameters were as follows: n: 6162769621170926228022475983324270436831611382998006162769621170926228022475983324270436831611382998006162769621170926228022475983324270436831611383 m: 1000000000000000000000000000000 deg: 5 c5: 34 c0: 11 skew: 0.80 type: snfs lss: 1 rlim: 2300000 alim: 2300000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 2300000/2300000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved rational special-q in [1150000, 1750001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 475351 x 475599 Total sieving time: 0.00 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,151,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,52,52,2.4,2.4,100000 total time: 9.00 hours.``` `Xeon-2.4GHz; Linux x86_64`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)

## 34×10155+119

### c139

name 名前 Serge Batalov December 3, 2008 01:12:22 UTC 2008 年 12 月 3 日 (水) 10 時 12 分 22 秒 (日本時間) `3427172662253542845055547601506954394542627049944445946406003652148757006249652632130363288851300450068300286200988363535359410972548612281<139>` ```1367414235817844393835674902661<31> 2506316354241965358478287885021487172210327240182297461454627912939386465253844371489098898542813986043072421<109>``` ```Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=415686968 Step 1 took 6275ms Step 2 took 4400ms ********** Factor found in step 2: 1367414235817844393835674902661 Found probable prime factor of 31 digits: 1367414235817844393835674902661 Probable prime cofactor 2506316354241965358478287885021487172210327240182297461454627912939386465253844371489098898542813986043072421 has 109 digits``` `GMP-ECM 6.2.1`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)

## 34×10156+119

### c154

name 名前 Serge Batalov December 3, 2008 01:34:09 UTC 2008 年 12 月 3 日 (水) 10 時 34 分 9 秒 (日本時間) `8765145656096932199020366073730342871874194379994844031967001804588811549368393915957721062129414797628254704820830110853312709461201340551688579530806909<154>` `20428085369379755054381161567133<32>` `429073283061331887029373538382779736581251147921326448030495788175194522967423873919288084893891002909527976603344608741473<123>` ```Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2478402618 Step 1 took 6442ms Step 2 took 4452ms ********** Factor found in step 2: 20428085369379755054381161567133 Found probable prime factor of 32 digits: 20428085369379755054381161567133 Composite cofactor 429073283061331887029373538382779736581251147921326448030495788175194522967423873919288084893891002909527976603344608741473 has 123 digits``` `GMP-ECM 6.2.1`

### c123

name 名前 Sinkiti Sibata December 6, 2008 22:54:45 UTC 2008 年 12 月 7 日 (日) 7 時 54 分 45 秒 (日本時間) `429073283061331887029373538382779736581251147921326448030495788175194522967423873919288084893891002909527976603344608741473<123>` ```1641290498119364233612216509348496842037<40> 261424338685306378465746420265055797130828604401971263690053114734342542603363295229<84>``` ```Number: 37779_156 N=429073283061331887029373538382779736581251147921326448030495788175194522967423873919288084893891002909527976603344608741473 ( 123 digits) SNFS difficulty: 158 digits. Divisors found: r1=1641290498119364233612216509348496842037 (pp40) r2=261424338685306378465746420265055797130828604401971263690053114734342542603363295229 (pp84) Version: GGNFS-0.77.1-20060513-k8 Total time: 50.25 hours. Scaled time: 98.85 units (timescale=1.967). Factorization parameters were as follows: name: 37779_156 n: 429073283061331887029373538382779736581251147921326448030495788175194522967423873919288084893891002909527976603344608741473 m: 20000000000000000000000000000000 deg: 5 c5: 85 c0: 88 skew: 1.01 type: snfs lss: 1 rlim: 3100000 alim: 3100000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 3100000/3100000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved rational special-q in [1550000, 3050001) Primes: RFBsize:223492, AFBsize:224096, largePrimes:8479610 encountered Relations: rels:9014923, finalFF:825935 Max relations in full relation-set: 28 Initial matrix: 447655 x 825935 with sparse part having weight 98632766. Pruned matrix : 343747 x 346049 with weight 49427794. Total sieving time: 47.33 hours. Total relation processing time: 0.27 hours. Matrix solve time: 2.44 hours. Time per square root: 0.21 hours. Prototype def-par.txt line would be: snfs,158,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000 total time: 50.25 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)

## 34×10159+119

### c141

name 名前 Sinkiti Sibata December 4, 2008 01:58:36 UTC 2008 年 12 月 4 日 (木) 10 時 58 分 36 秒 (日本時間) `192513239084831126427408014469396118890961735454762306318816343869393433862102152227064049739804890063922442679003515268166854827647928928783<141>` ```56960796213499206995819411589421<32> 653999055531658257880633332837128587<36> 5167820598800979524424252379458124776983707013484074238580352480196575329<73>``` ```Number: 37779_159 N=192513239084831126427408014469396118890961735454762306318816343869393433862102152227064049739804890063922442679003515268166854827647928928783 ( 141 digits) SNFS difficulty: 161 digits. Divisors found: r1=56960796213499206995819411589421 (pp32) r2=653999055531658257880633332837128587 (pp36) r3=5167820598800979524424252379458124776983707013484074238580352480196575329 (pp73) Version: GGNFS-0.77.1-20060513-nocona Total time: 45.26 hours. Scaled time: 116.53 units (timescale=2.575). Factorization parameters were as follows: name: 37779_159 n: 192513239084831126427408014469396118890961735454762306318816343869393433862102152227064049739804890063922442679003515268166854827647928928783 m: 100000000000000000000000000000000 deg: 5 c5: 17 c0: 55 skew: 1.26 type: snfs lss: 1 rlim: 3400000 alim: 3400000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 3400000/3400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved rational special-q in [1700000, 3000001) Primes: RFBsize:243539, AFBsize:243460, largePrimes:9425000 encountered Relations: rels:10213711, finalFF:981172 Max relations in full relation-set: 28 Initial matrix: 487064 x 981172 with sparse part having weight 116904325. Pruned matrix : 354614 x 357113 with weight 57238682. Total sieving time: 43.30 hours. Total relation processing time: 0.16 hours. Matrix solve time: 1.64 hours. Time per square root: 0.16 hours. Prototype def-par.txt line would be: snfs,161,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000 total time: 45.26 hours. --------- CPU info (if available) ----------``` `Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)

## 34×10160+119

### c155

name 名前 Sinkiti Sibata December 4, 2008 13:58:42 UTC 2008 年 12 月 4 日 (木) 22 時 58 分 42 秒 (日本時間) `26600153764535908290806337502281549953406701251560705345324369707400655662495997263626535092917857708110410353530908322491814780625793652749544452807845731<155>` ```15640944141321185099322247466507075594820802996029162961<56> 1700674430149138207643706969225336809928813149676112024635548084053368737429115806131547880354595571<100>``` ```Number: 37779_160 N=26600153764535908290806337502281549953406701251560705345324369707400655662495997263626535092917857708110410353530908322491814780625793652749544452807845731 ( 155 digits) SNFS difficulty: 161 digits. Divisors found: r1=15640944141321185099322247466507075594820802996029162961 (pp56) r2=1700674430149138207643706969225336809928813149676112024635548084053368737429115806131547880354595571 (pp100) Version: GGNFS-0.77.1-20060513-nocona Total time: 45.26 hours. Scaled time: 116.05 units (timescale=2.564). Factorization parameters were as follows: name: 37779_160 n: 26600153764535908290806337502281549953406701251560705345324369707400655662495997263626535092917857708110410353530908322491814780625793652749544452807845731 m: 100000000000000000000000000000000 deg: 5 c5: 34 c0: 11 skew: 0.80 type: snfs lss: 1 rlim: 3400000 alim: 3400000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 3400000/3400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved rational special-q in [1700000, 3000001) Primes: RFBsize:243539, AFBsize:244010, largePrimes:9375477 encountered Relations: rels:10101428, finalFF:940436 Max relations in full relation-set: 28 Initial matrix: 487615 x 940436 with sparse part having weight 112572943. Pruned matrix : 359368 x 361870 with weight 55395426. Total sieving time: 43.31 hours. Total relation processing time: 0.16 hours. Matrix solve time: 1.63 hours. Time per square root: 0.16 hours. Prototype def-par.txt line would be: snfs,161,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000 total time: 45.26 hours. --------- CPU info (if available) ----------``` `Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)

## 34×10161+119

### c156

name 名前 Robert Backstrom December 11, 2008 00:28:52 UTC 2008 年 12 月 11 日 (木) 9 時 28 分 52 秒 (日本時間) `497346291837245473892757219091134758464504760847378612032298838418479749887475401471823211531763679180630760897405797858280589027692387807818956587958690417<156>` ```452260176298104765469994838125306203<36> 39385795018549293522153408826555650505362558093119041313<56> 27920996888392742207968069111544861147664525260952212315370251203<65>``` ```GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM] Input number is 497346291837245473892757219091134758464504760847378612032298838418479749887475401471823211531763679180630760897405797858280589027692387807818956587958690417 (156 digits) Using B1=2720000, B2=4281513610, polynomial Dickson(6), sigma=232161349 Step 1 took 34781ms Step 2 took 14375ms ********** Factor found in step 2: 452260176298104765469994838125306203 Found probable prime factor of 36 digits: 452260176298104765469994838125306203 Composite cofactor 1099690660159789190804806713972128415259313977562867994302360024355993049387317737924061850452700979364367080663344949539 has 121 digits Number: n N=1099690660159789190804806713972128415259313977562867994302360024355993049387317737924061850452700979364367080663344949539 ( 121 digits) SNFS difficulty: 162 digits. Divisors found: Thu Dec 11 11:21:39 2008 prp56 factor: 39385795018549293522153408826555650505362558093119041313 Thu Dec 11 11:21:39 2008 prp65 factor: 27920996888392742207968069111544861147664525260952212315370251203 Thu Dec 11 11:21:39 2008 elapsed time 02:54:48 (Msieve 1.39 - dependency 9) Version: GGNFS-0.77.1-20051202-athlon Total time: 31.55 hours. Scaled time: 57.52 units (timescale=1.823). Factorization parameters were as follows: name: KA_3_7_160_9 n: 1099690660159789190804806713972128415259313977562867994302360024355993049387317737924061850452700979364367080663344949539 type: snfs skew: 0.50 deg: 5 c5: 340 c0: 11 m: 100000000000000000000000000000000 rlim: 4500000 alim: 4500000 lpbr: 28 lpba: 28 mfbr: 56 mfba: 56 rlambda: 2.5 alambda: 2.5 qintsize: 50000 Factor base limits: 4500000/4500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 56/56 Sieved special-q in [100000, 3350001) Primes: RFBsize:315948, AFBsize:316667, largePrimes:16423876 encountered Relations: rels:14735760, finalFF:661281 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1689980 hash collisions in 16193584 relations Msieve: matrix is 714185 x 714433 (191.3 MB) Total sieving time: 31.04 hours. Total relation processing time: 0.51 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,162,5,0,0,0,0,0,0,0,0,4500000,4500000,28,28,56,56,2.5,2.5,100000 total time: 31.55 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)

## 34×10162+119

### c156

name 名前 Serge Batalov December 2, 2008 20:21:10 UTC 2008 年 12 月 3 日 (水) 5 時 21 分 10 秒 (日本時間) `174947165570084969111199809324055144190450489414438407069215669509244231383495203455552297936422543179263076126164877340502997490707076703922746130838899599<156>` `67124546794083294248340603185287579<35>` `2606306841918308784669025209898688038053573715705451307168694698444179234703434235423308619590868129220762915004730308381<121>` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2188203815 Step 1 took 24769ms Step 2 took 16445ms ********** Factor found in step 2: 67124546794083294248340603185287579 Found probable prime factor of 35 digits: 67124546794083294248340603185287579 Composite cofactor has 121 digits``` `GMP-ECM 6.2.1`

### c121

name 名前 Erik Branger August 26, 2009 13:46:19 UTC 2009 年 8 月 26 日 (水) 22 時 46 分 19 秒 (日本時間) `2606306841918308784669025209898688038053573715705451307168694698444179234703434235423308619590868129220762915004730308381<121>` ```106851167940478740045730236724328448611032403830368245522011<60> 24391935925025616413012597364043838783569401954353983491549671<62>``` ```Number: 37779_162 N=2606306841918308784669025209898688038053573715705451307168694698444179234703434235423308619590868129220762915004730308381 ( 121 digits) SNFS difficulty: 164 digits. Divisors found: r1=106851167940478740045730236724328448611032403830368245522011 (pp60) r2=24391935925025616413012597364043838783569401954353983491549671 (pp62) Version: Msieve v. 1.42 Total time: 59.21 hours. Scaled time: 23.39 units (timescale=0.395). Factorization parameters were as follows: n: 2606306841918308784669025209898688038053573715705451307168694698444179234703434235423308619590868129220762915004730308381 m: 200000000000000000000000000000000 deg: 5 c5: 425 c0: 44 skew: 0.64 type: snfs lss: 1 rlim: 3800000 alim: 3800000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 3800000/3800000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved rational special-q in [1900000, 4100001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 728523 x 728749 Total sieving time: 56.59 hours. Total relation processing time: 0.26 hours. Matrix solve time: 2.13 hours. Time per square root: 0.23 hours. Prototype def-par.txt line would be: snfs,164.000,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000 total time: 59.21 hours. --------- CPU info (if available) ----------``` `GGNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)

## 34×10163+119

### c100

name 名前 Serge Batalov December 2, 2008 18:07:38 UTC 2008 年 12 月 3 日 (水) 3 時 7 分 38 秒 (日本時間) `3770077842856728983244188566595829222220655286859065971799518459592326778034149820482284363677766983<100>` ```538538060804192975491860866957<30> 7000578264100615505009002316587714144643825814097360015482214397616419<70>``` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=384210140 Step 1 took 12933ms Step 2 took 10623ms ********** Factor found in step 2: 538538060804192975491860866957 Found probable prime factor of 30 digits: 538538060804192975491860866957 Probable prime cofactor 7000578264100615505009002316587714144643825814097360015482214397616419 has 70 digits``` `GMP-ECM 6.2.1`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)

## 34×10165+119

### c158

name 名前 Serge Batalov December 7, 2008 20:21:02 UTC 2008 年 12 月 8 日 (月) 5 時 21 分 2 秒 (日本時間) `27453356418408572643857693062662714781848689852313239957734007486674021695384722507363682581215084634583871749164999906783743184612421503819077187673614470867<158>` ```132305034338835795699004205791407388620792643<45> 547267159590746377431429613203845746240770116543947<51> 379157534695536082042970312038325842573501978968316577268679027<63>``` ```SNFS difficulty: 166 digits. Divisors found: r1=132305034338835795699004205791407388620792643 (pp45) r2=547267159590746377431429613203845746240770116543947 (pp51) r3=379157534695536082042970312038325842573501978968316577268679027 (pp63) Version: Msieve-1.39 Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.726). Factorization parameters were as follows: n: 27453356418408572643857693062662714781848689852313239957734007486674021695384722507363682581215084634583871749164999906783743184612421503819077187673614470867 m: 1000000000000000000000000000000000 deg: 5 c5: 34 c0: 11 skew: 0.80 type: snfs lss: 1 rlim: 4200000 alim: 4200000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 4200000/4200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved rational special-q in [2100000, 4000001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 732615 x 732863 Total sieving time: 0.00 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,166,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,52,52,2.4,2.4,100000 total time: 27.00 hours.``` `Msieve-1.39` `Opteron-2.6GHz; Linux x86_64`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)

## 34×10166+119

### c152

name 名前 Ignacio Santos March 13, 2009 14:26:15 UTC 2009 年 3 月 13 日 (金) 23 時 26 分 15 秒 (日本時間) `56881012687816116882509529469225512722853884217827165715545764590324915101749318460398051179992115444952447748972611232406682686285021225138144952835987<152>` ```7433469121613363106548924286466391259517809872867192997109258626823<67> 7652014390216588291222042775069211091736777411099684795795933848178270670770807272469<85>``` ```Number: 37779_166 N=56881012687816116882509529469225512722853884217827165715545764590324915101749318460398051179992115444952447748972611232406682686285021225138144952835987 ( 152 digits) SNFS difficulty: 168 digits. Divisors found: r1=7433469121613363106548924286466391259517809872867192997109258626823 (pp67) r2=7652014390216588291222042775069211091736777411099684795795933848178270670770807272469 (pp85) Version: Msieve-1.39 Total time: 52.08 hours. Scaled time: 133.90 units (timescale=2.571). Factorization parameters were as follows: n: 56881012687816116882509529469225512722853884217827165715545764590324915101749318460398051179992115444952447748972611232406682686285021225138144952835987 m: 2000000000000000000000000000000000 deg: 5 c5: 85 c0: 88 skew: 1.01 type: snfs lss: 1 rlim: 4500000 alim: 4500000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 4500000/4500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved rational special-q in [2250000, 4850001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 851783 x 852031 Total sieving time: 52.08 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,168,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,52,52,2.4,2.4,100000 total time: 52.08 hours. --------- CPU info (if available) ----------``` `GGNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)

## 34×10168+119

### c126

name 名前 Jo Yeong Uk July 28, 2009 01:02:23 UTC 2009 年 7 月 28 日 (火) 10 時 2 分 23 秒 (日本時間) `126125999778607480690246033713828018537651058546696590725316441020016541300976869122526673281587490530406309722393433830705401<126>` ```21007045637904397929220783078171057473056938111949250991<56> 6003985612856955994763940375687682631208042011489199930435766202839511<70>``` ```Number: 37779_168 N=126125999778607480690246033713828018537651058546696590725316441020016541300976869122526673281587490530406309722393433830705401 ( 126 digits) SNFS difficulty: 171 digits. Divisors found: r1=21007045637904397929220783078171057473056938111949250991 r2=6003985612856955994763940375687682631208042011489199930435766202839511 Version: Total time: 32.90 hours. Scaled time: 78.31 units (timescale=2.380). Factorization parameters were as follows: n: 126125999778607480690246033713828018537651058546696590725316441020016541300976869122526673281587490530406309722393433830705401 m: 10000000000000000000000000000000000 deg: 5 c5: 17 c0: 550 skew: 2.00 type: snfs lss: 1 rlim: 5800000 alim: 5800000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5800000/5800000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved rational special-q in [2900000, 5400001) Primes: rational ideals reading, algebraic ideals reading, Relations: 10879636 Max relations in full relation-set: Initial matrix: Pruned matrix : 958587 x 958835 Total sieving time: 29.47 hours. Total relation processing time: 1.34 hours. Matrix solve time: 1.97 hours. Time per square root: 0.12 hours. Prototype def-par.txt line would be: snfs,171,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,52,52,2.4,2.4,100000 total time: 32.90 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init) Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673789) Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341) Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672379) Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)``` `GGNFS / Msieve v1.39` `Core 2 Quad Q6700`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)
351e6825Wataru SakaiMay 27, 2009 13:52:19 UTC 2009 年 5 月 27 日 (水) 22 時 52 分 19 秒 (日本時間)
403e62111Jo Yeong UkJuly 23, 2009 23:53:07 UTC 2009 年 7 月 24 日 (金) 8 時 53 分 7 秒 (日本時間)

## 34×10169+119

### c126

name 名前 Jo Yeong Uk August 26, 2009 15:44:19 UTC 2009 年 8 月 27 日 (木) 0 時 44 分 19 秒 (日本時間) `549870469179809804400773189900652481997984884146536985427414341642160967172160491609374388356461473305517418822641431219841707<126>` ```18996040647697883281745471417581144798771086079754053<53> 28946583100012908073644120379111826298817121794389208345765758626662639919<74>``` ```Number: 37779_169 N=549870469179809804400773189900652481997984884146536985427414341642160967172160491609374388356461473305517418822641431219841707 ( 126 digits) SNFS difficulty: 171 digits. Divisors found: r1=18996040647697883281745471417581144798771086079754053 r2=28946583100012908073644120379111826298817121794389208345765758626662639919 Version: Total time: 35.34 hours. Scaled time: 84.18 units (timescale=2.382). Factorization parameters were as follows: n: 549870469179809804400773189900652481997984884146536985427414341642160967172160491609374388356461473305517418822641431219841707 m: 10000000000000000000000000000000000 deg: 5 c5: 17 c0: 55 skew: 1.26 type: snfs lss: 1 rlim: 5800000 alim: 5800000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5800000/5800000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved rational special-q in [2900000, 5600001) Primes: rational ideals reading, algebraic ideals reading, Relations: 11191619 Max relations in full relation-set: Initial matrix: Pruned matrix : 933173 x 933421 Total sieving time: 32.04 hours. Total relation processing time: 1.13 hours. Matrix solve time: 1.94 hours. Time per square root: 0.22 hours. Prototype def-par.txt line would be: snfs,171,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,52,52,2.4,2.4,100000 total time: 35.34 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init) Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673789) Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672386) Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342) Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672380)``` `GGNFS / Msieve v1.39` `Core 2 Quad Q6700`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiMay 30, 2009 06:26:59 UTC 2009 年 5 月 30 日 (土) 15 時 26 分 59 秒 (日本時間)

## 34×10170+119

### c146

name 名前 Serge Batalov December 2, 2008 18:43:39 UTC 2008 年 12 月 3 日 (水) 3 時 43 分 39 秒 (日本時間) `80557875072509320580432847409041478388552370097817127697112330922281865874217845956205615080925974778861713164128063828797507864602611598804588191<146>` ```5949365760417332575874777487329<31> 338927312633634574452868348574459<33> 39951286071499425676165028250701904891033092637792693030891274330699036140072514381<83>``` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1331521538 Step 1 took 15177ms Step 2 took 11309ms ********** Factor found in step 2: 338927312633634574452868348574459 Found probable prime factor of 33 digits: 338927312633634574452868348574459 Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1686472867 Step 1 took 14489ms Step 2 took 11065ms ********** Factor found in step 2: 5949365760417332575874777487329 Found probable prime factor of 31 digits: 5949365760417332575874777487329``` `GMP-ECM 6.2.1`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)

## 34×10172+119

### c161

name 名前 Ignacio Santos September 18, 2009 06:34:21 UTC 2009 年 9 月 18 日 (金) 15 時 34 分 21 秒 (日本時間) `32709339293295653405389161183476271106949633991618747095363256042686944231211075637390850182455576410290605734321924801278797776521913329995119050282353380367257<161>` ```13399547216048116206746496990163592721856158829124504594553373<62> 2441077953299866038839432759567807758029461670857114077392486299910968603071411404050302508894875309<100>``` ```Number: 37779_172 N=32709339293295653405389161183476271106949633991618747095363256042686944231211075637390850182455576410290605734321924801278797776521913329995119050282353380367257 ( 161 digits) SNFS difficulty: 174 digits. Divisors found: r1=13399547216048116206746496990163592721856158829124504594553373 (pp62) r2=2441077953299866038839432759567807758029461670857114077392486299910968603071411404050302508894875309 (pp100) Version: Msieve-1.40 Total time: 85.38 hours. Scaled time: 148.47 units (timescale=1.739). Factorization parameters were as follows: n: 32709339293295653405389161183476271106949633991618747095363256042686944231211075637390850182455576410290605734321924801278797776521913329995119050282353380367257 m: 20000000000000000000000000000000000 deg: 5 c5: 425 c0: 44 skew: 0.64 type: snfs lss: 1 rlim: 5600000 alim: 5600000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5600000/5600000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved rational special-q in [2800000, 7300001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1195146 x 1195392 Total sieving time: 82.40 hours. Total relation processing time: 0.10 hours. Matrix solve time: 1.91 hours. Time per square root: 0.97 hours. Prototype def-par.txt line would be: snfs,174.000,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000 total time: 85.38 hours.``` `GGNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)

## 34×10173+119

### c148

name 名前 Serge Batalov December 3, 2008 04:47:18 UTC 2008 年 12 月 3 日 (水) 13 時 47 分 18 秒 (日本時間) `1853402456630492558127118803852059915152698617498548613133993552867599602115925220702708681319979015474251276522911377073129586734792008446269142483<148>` ```33356516879350872097959604347349217261<38> 55563428979535597429283367913886066893955421083855121284705414022229840742979307014569462000972114986360128703<110>``` ```Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=158554100 Step 1 took 6232ms Step 2 took 4523ms ********** Factor found in step 2: 33356516879350872097959604347349217261 Found probable prime factor of 38 digits: 33356516879350872097959604347349217261 Probable prime cofactor 55563428979535597429283367913886066893955421083855121284705414022229840742979307014569462000972114986360128703 has 110 digits``` `GMP-ECM 6.2.1`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)

## 34×10174+119

### c158

name 名前 Wataru Sakai June 5, 2010 06:20:13 UTC 2010 年 6 月 5 日 (土) 15 時 20 分 13 秒 (日本時間) `55711834073276839385347213077169408935319273001299635563718820035397247399670361717936846760156650952689449456046232914456706271335921019126314996346933377527<158>` ```871262030956586718476929020328982046964678693<45> 63943833305933253761085814975906493936986488115559973784320240741833923834982072049153780500007631755976072034539<113>``` ```Number: 37779_174 N=55711834073276839385347213077169408935319273001299635563718820035397247399670361717936846760156650952689449456046232914456706271335921019126314996346933377527 ( 158 digits) SNFS difficulty: 175 digits. Divisors found: r1=871262030956586718476929020328982046964678693 r2=63943833305933253761085814975906493936986488115559973784320240741833923834982072049153780500007631755976072034539 Version: Total time: 136.15 hours. Scaled time: 273.80 units (timescale=2.011). Factorization parameters were as follows: n: 55711834073276839385347213077169408935319273001299635563718820035397247399670361717936846760156650952689449456046232914456706271335921019126314996346933377527 m: 20000000000000000000000000000000000 deg: 5 c5: 10625 c0: 11 skew: 0.25 type: snfs lss: 1 rlim: 5900000 alim: 5900000 lpbr: 28 lpba: 28 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5Factor base limits: 5900000/5900000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 52/52 Sieved rational special-q in [2950000, 7050001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 989355 x 989603 Total sieving time: 136.15 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,175,5,0,0,0,0,0,0,0,0,5900000,5900000,28,28,52,52,2.5,2.5,100000 total time: 136.15 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiMay 13, 2010 02:50:44 UTC 2010 年 5 月 13 日 (木) 11 時 50 分 44 秒 (日本時間)
4511e6200 / 3962Dmitry DomanovMay 6, 2010 19:36:39 UTC 2010 年 5 月 7 日 (金) 4 時 36 分 39 秒 (日本時間)

## 34×10176+119

### c136

name 名前 Robert Backstrom May 31, 2012 03:11:40 UTC 2012 年 5 月 31 日 (木) 12 時 11 分 40 秒 (日本時間) `2813179309163691635275054395058068182368089251924316182524672130643772094788707021714470844861307348981853603601265338624801412126545379<136>` ```105493503227471151710342078335819475754116367630927754652711191<63> 26666848887345724090561940482203141702676554180635283322652939197456085269<74>``` ```Number: n N=2813179309163691635275054395058068182368089251924316182524672130643772094788707021714470844861307348981853603601265338624801412126545379 ( 136 digits) Divisors found: Thu May 31 08:39:12 2012 prp63 factor: 105493503227471151710342078335819475754116367630927754652711191 Thu May 31 08:39:12 2012 prp74 factor: 26666848887345724090561940482203141702676554180635283322652939197456085269 Thu May 31 08:39:12 2012 elapsed time 05:53:37 (Msieve 1.44 - dependency 5) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.081). Factorization parameters were as follows: name: KA_37779_176 n: 2813179309163691635275054395058068182368089251924316182524672130643772094788707021714470844861307348981853603601265338624801412126545379 skew: 298166.27 # norm 3.19e+18 c5: 79200 c4: -47150512008 c3: 33314873291235222 c2: 889968375136429360453 c1: -1508276048311684770928584582 c0: -105850170405602768876612688023005 # alpha -6.07 Y1: 1235046128476769 Y0: -128853120999717859761382278 # Murphy_E 3.80e-11 # M 1125487664006080767608788268780880889273361176483583988352807441867363465141085708598416321085127132970758342898191309295869143139384176 type: gnfs rlim: 20000000 alim: 20000000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 qintsize: 60000 Factor base limits: 20000000/20000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 16540000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 5519139 hash collisions in 29750871 relations (24531054 unique) Msieve: matrix is 1582719 x 1582947 (457.0 MB) Total sieving time: 0.00 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: gnfs,135,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,20000000,20000000,28,28,55,55,2.5,2.5,60000 total time: 0.00 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)
351e60--
403e62336300Dmitry DomanovMay 12, 2011 14:01:46 UTC 2011 年 5 月 12 日 (木) 23 時 1 分 46 秒 (日本時間)
2036Wataru SakaiOctober 7, 2011 04:39:10 UTC 2011 年 10 月 7 日 (金) 13 時 39 分 10 秒 (日本時間)

## 34×10178+119

### c150

name 名前 Dmitry Domanov June 18, 2013 12:54:56 UTC 2013 年 6 月 18 日 (火) 21 時 54 分 56 秒 (日本時間) `204557157356946480854143415213813486595652853694880759651666994858624191869065841613156672300821229211534964064348803326163217443695772089766633880231<150>` ```23790888888083088808633102675450246635895790592566080543131784503193<68> 8598130079091312700741291998144179687278150164163586820217023170133564393167279167<82>``` ```N=204557157356946480854143415213813486595652853694880759651666994858624191869065841613156672300821229211534964064348803326163217443695772089766633880231 ( 150 digits) SNFS difficulty: 179 digits. Divisors found: r1=23790888888083088808633102675450246635895790592566080543131784503193 (pp68) r2=8598130079091312700741291998144179687278150164163586820217023170133564393167279167 (pp82) Version: Msieve v. 1.50 (SVN unknown) Total time: 99.51 hours. Scaled time: 191.56 units (timescale=1.925). Factorization parameters were as follows: n: 204557157356946480854143415213813486595652853694880759651666994858624191869065841613156672300821229211534964064348803326163217443695772089766633880231 m: 100000000000000000000000000000000000 deg: 5 c5: 34000 c0: 11 skew: 0.20 # Murphy_E = 1.035e-10 type: snfs lss: 1 rlim: 6900000 alim: 6900000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 qintsize: 400000 Factor base limits: 6900000/6900000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [3450000, 8650001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1168654 x 1168880 Total sieving time: 97.68 hours. Total relation processing time: 0.21 hours. Matrix solve time: 1.37 hours. Time per square root: 0.26 hours. Prototype def-par.txt line would be: snfs,179.000,5,0,0,0,0,0,0,0,0,6900000,6900000,28,28,53,53,2.5,2.5,100000 total time: 99.51 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)
351e60--
403e62336300Dmitry DomanovMay 12, 2011 14:01:54 UTC 2011 年 5 月 12 日 (木) 23 時 1 分 54 秒 (日本時間)
2036Wataru SakaiMarch 21, 2012 12:46:42 UTC 2012 年 3 月 21 日 (水) 21 時 46 分 42 秒 (日本時間)

## 34×10179+119

### c156

name 名前 Dmitry Domanov June 18, 2013 12:54:19 UTC 2013 年 6 月 18 日 (火) 21 時 54 分 19 秒 (日本時間) `404028458031595265237254488283314606271517735653715183507069029806579687268533937968981884397825905537046596508372583605832782942784324656446487455426232223<156>` ```14288866482636506091536998811553811470825902159107193361429611288914520083<74> 28275752910320852158064153112279375730920451968428231923517603068612087083661808581<83>``` ```N=404028458031595265237254488283314606271517735653715183507069029806579687268533937968981884397825905537046596508372583605832782942784324656446487455426232223 ( 156 digits) SNFS difficulty: 181 digits. Divisors found: r1=14288866482636506091536998811553811470825902159107193361429611288914520083 (pp74) r2=28275752910320852158064153112279375730920451968428231923517603068612087083661808581 (pp83) Version: Msieve v. 1.50 (SVN unknown) Total time: 112.82 hours. Scaled time: 206.69 units (timescale=1.832). Factorization parameters were as follows: n: 404028458031595265237254488283314606271517735653715183507069029806579687268533937968981884397825905537046596508372583605832782942784324656446487455426232223 m: 1000000000000000000000000000000000000 deg: 5 c5: 17 c0: 55 skew: 1.26 # Murphy_E = 9.991e-11 type: snfs lss: 1 rlim: 7300000 alim: 7300000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 qintsize: 400000 Factor base limits: 7300000/7300000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [3650000, 9250001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1395668 x 1395902 Total sieving time: 105.57 hours. Total relation processing time: 0.20 hours. Matrix solve time: 6.96 hours. Time per square root: 0.09 hours. Prototype def-par.txt line would be: snfs,181.000,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000 total time: 112.82 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovMay 12, 2011 14:02:01 UTC 2011 年 5 月 12 日 (木) 23 時 2 分 1 秒 (日本時間)
4511e6600 / 4413Rich DickersonJuly 7, 2012 14:55:16 UTC 2012 年 7 月 7 日 (土) 23 時 55 分 16 秒 (日本時間)

## 34×10180+119

### c181

name 名前 Robert Backstrom December 12, 2008 16:39:58 UTC 2008 年 12 月 13 日 (土) 1 時 39 分 58 秒 (日本時間) `3777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<181>` ```5574632468914608146858989470643476643459042798240453257348585029<64> 677672976441677150691405869835421581232568399868727814349136619956892166941871909050801747283982312193551902356049751<117>``` ```Number: n N=3777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779 ( 181 digits) SNFS difficulty: 181 digits. Divisors found: Sat Dec 13 03:26:24 2008 prp64 factor: 5574632468914608146858989470643476643459042798240453257348585029 Sat Dec 13 03:26:24 2008 prp117 factor: 677672976441677150691405869835421581232568399868727814349136619956892166941871909050801747283982312193551902356049751 Sat Dec 13 03:26:24 2008 elapsed time 03:25:41 (Msieve 1.39 - dependency 1) Version: GGNFS-0.77.1-20050930-k8 Total time: 37.44 hours. Scaled time: 75.29 units (timescale=2.011). Factorization parameters were as follows: name: KA_3_7_179_9 n: 3777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779 type: snfs skew: 0.80 deg: 5 c5: 34 c0: 11 m: 1000000000000000000000000000000000000 rlim: 8500000 alim: 8500000 lpbr: 29 lpba: 29 mfbr: 58 mfba: 58 rlambda: 2.5 alambda: 2.5 qintsize: 50000 Factor base limits: 8500000/8500000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 58/58 Sieved special-q in [100000, 2900077) Primes: RFBsize:571119, AFBsize:571308, largePrimes:28026071 encountered Relations: rels:25436113, finalFF:1245495 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: 26132343 relations and about 26488749 large ideals Msieve: matrix is 1120238 x 1120486 (303.3 MB) Total sieving time: 36.85 hours. Total relation processing time: 0.58 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,181,5,0,0,0,0,0,0,0,0,8500000,8500000,29,29,58,58,2.5,2.5,100000 total time: 37.44 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU Q9550 @ 2.83GHz stepping 07 CPU1: Intel(R) Core(TM)2 Quad CPU Q9550 @ 2.83GHz stepping 07 CPU2: Intel(R) Core(TM)2 Quad CPU Q9550 @ 2.83GHz stepping 07 CPU3: Intel(R) Core(TM)2 Quad CPU Q9550 @ 2.83GHz stepping 07 Memory: 3321556k/3407296k available (2912k kernel code, 84428k reserved, 1794k data, 1544k init, 2502088k highmem) Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.98 BogoMIPS (lpj=2830490) Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449) Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457) Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830462) Total of 4 processors activated (22643.71 BogoMIPS).```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkDecember 3, 2008 02:39:48 UTC 2008 年 12 月 3 日 (水) 11 時 39 分 48 秒 (日本時間)

## 34×10182+119

### c169

name 名前 matsui September 22, 2010 23:11:02 UTC 2010 年 9 月 23 日 (木) 8 時 11 分 2 秒 (日本時間) `2869981515042606379055563442019941450338752962945572009499566201486632038085489784737255347986847053690332378379588941073332256130613620743835333665234220840775417521663<169>` ```30573458093895943159715711832540359718349<41> 93871668236822853142197850466588711564936093483270939017013669219316782796615989304676032166930192321283026832613776066611969787<128>``` ```N=2869981515042606379055563442019941450338752962945572009499566201486632038085489784737255347986847053690332378379588941073332256130613620743835333665234220840775417521663 ( 169 digits) SNFS difficulty: 183 digits. Divisors found: r1=30573458093895943159715711832540359718349 (pp41) r2=93871668236822853142197850466588711564936093483270939017013669219316782796615989304676032166930192321283026832613776066611969787 (pp128) Version: Msieve v. 1.47 Total time: Scaled time: 78.28 units (timescale=1.861). Factorization parameters were as follows: n: 2869981515042606379055563442019941450338752962945572009499566201486632038085489784737255347986847053690332378379588941073332256130613620743835333665234220840775417521663 m: 1000000000000000000000000000000000000 deg: 5 c5: 3400 c0: 11 skew: 0.32 type: snfs lss: 1 rlim: 8000000 alim: 8000000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 8000000/8000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [4000000, 13200001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1833237 x 1833480 Total sieving time: Total relation processing time: Matrix solve time: Time per square root: Prototype def-par.txt line would be: snfs,183.000,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,53,53,2.5,2.5,100000 total time:```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)

## 34×10183+119

### c154

name 名前 Dmitry Domanov August 12, 2013 07:38:57 UTC 2013 年 8 月 12 日 (月) 16 時 38 分 57 秒 (日本時間) `8921838768232879393261543048099254917434112681056371065290864662115792473229166080389664137959521253578962564804675170788738398632407629279291875816296321<154>` ```1725654345624579851537080952513256030063784273<46> 5170119259893688080093548800749618164270114694598258164337972134503577775272620264534821317140876547423760177<109>``` ```N=8921838768232879393261543048099254917434112681056371065290864662115792473229166080389664137959521253578962564804675170788738398632407629279291875816296321 ( 154 digits) SNFS difficulty: 184 digits. Divisors found: r1=1725654345624579851537080952513256030063784273 (pp46) r2=5170119259893688080093548800749618164270114694598258164337972134503577775272620264534821317140876547423760177 (pp109) Version: Msieve v. 1.50 (SVN unknown) Total time: 144.56 hours. Scaled time: 274.38 units (timescale=1.898). Factorization parameters were as follows: n: 8921838768232879393261543048099254917434112681056371065290864662115792473229166080389664137959521253578962564804675170788738398632407629279291875816296321 m: 1000000000000000000000000000000000000 deg: 5 c5: 34000 c0: 11 skew: 0.20 # Murphy_E = 6.507e-11 type: snfs lss: 1 rlim: 8300000 alim: 8300000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 qintsize: 400000 Factor base limits: 8300000/8300000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved rational special-q in [4150000, 11350001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1656158 x 1656391 Total sieving time: 141.58 hours. Total relation processing time: 0.23 hours. Matrix solve time: 2.63 hours. Time per square root: 0.12 hours. Prototype def-par.txt line would be: snfs,184.000,5,0,0,0,0,0,0,0,0,8300000,8300000,28,28,54,54,2.5,2.5,100000 total time: 144.56 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovMay 12, 2011 14:02:23 UTC 2011 年 5 月 12 日 (木) 23 時 2 分 23 秒 (日本時間)

## 34×10184+119

### c184

name 名前 Robert Backstrom December 17, 2008 04:56:24 UTC 2008 年 12 月 17 日 (水) 13 時 56 分 24 秒 (日本時間) `1798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941799<184>` ```3153381182245925815602116031604202495320047121667445799461559645437791<70> 570480286072025881760890891024077848976969633603699632299856594817956338766406814897528070489702511123803391082489<114>``` ```Number: n N=1798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941799 ( 184 digits) SNFS difficulty: 186 digits. Divisors found: Wed Dec 17 12:43:05 2008 prp70 factor: 3153381182245925815602116031604202495320047121667445799461559645437791 Wed Dec 17 12:43:05 2008 prp114 factor: 570480286072025881760890891024077848976969633603699632299856594817956338766406814897528070489702511123803391082489 Wed Dec 17 12:43:05 2008 elapsed time 04:13:42 (Msieve 1.39 - dependency 4) Version: GGNFS-0.77.1-20051202-athlon Total time: 28.87 hours. Scaled time: 59.05 units (timescale=2.045). Factorization parameters were as follows: name: KA_3_7_183_9 n: 1798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941799 type: snfs skew: 1.26 deg: 5 c5: 17 c0: 55 m: 10000000000000000000000000000000000000 rlim: 8500000 alim: 8500000 lpbr: 29 lpba: 29 mfbr: 58 mfba: 58 rlambda: 2.5 alambda: 2.5 qintsize: 50000 Factor base limits: 8500000/8500000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 58/58 Sieved special-q in [100000, 4550001) Primes: RFBsize:571119, AFBsize:571718, largePrimes:31863919 encountered Relations: rels:29900533, finalFF:1289293 Max relations in full relation-set: 28 Initial matrix: 1142902 x 1289291 with sparse part having weight 139239900. Pruned matrix : 1020687 x 1026465 with weight 109219622. Msieve: found 5898080 hash collisions in 35099131 relations Msieve: matrix is 1215906 x 1216154 (330.1 MB) Total sieving time: 27.66 hours. Total relation processing time: 1.21 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,186,5,0,0,0,0,0,0,0,0,8500000,8500000,29,29,58,58,2.5,2.5,100000 total time: 28.87 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)

## 34×10185+119

### c183

name 名前 Robert Backstrom December 24, 2008 04:51:13 UTC 2008 年 12 月 24 日 (水) 13 時 51 分 13 秒 (日本時間) `363597476205753395358785156667736071008448294300074858303924713934338573414608063308737033472355897764944925676398246176879478130681210565714896802481018072933376109507004598438669661<183>` ```553108953256060747840665463564358923<36> 84899358098754026519470500100735842692276241566795948069<56> 7742937698796390773077022171625908268690825320600198553953076059596260413718230752249653803<91>``` ```GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM] Input number is 363597476205753395358785156667736071008448294300074858303924713934338573414608063308737033472355897764944925676398246176879478130681210565714896802481018072933376109507004598438669661 (183 digits) Using B1=1830000, B2=1986068894, polynomial Dickson(6), sigma=2182743119 Step 1 took 41688ms Step 2 took 20734ms ********** Factor found in step 2: 553108953256060747840665463564358923 Found probable prime factor of 36 digits: 553108953256060747840665463564358923 Composite cofactor 657370440426457224196909528676015642805819843550172264758862997221749950147843630565666366392439605388006719253164554952138526942848104848416356407 has 147 digits Number: n N=657370440426457224196909528676015642805819843550172264758862997221749950147843630565666366392439605388006719253164554952138526942848104848416356407 ( 147 digits) SNFS difficulty: 186 digits. Divisors found: Wed Dec 24 13:32:23 2008 prp56 factor: 84899358098754026519470500100735842692276241566795948069 Wed Dec 24 13:32:23 2008 prp91 factor: 7742937698796390773077022171625908268690825320600198553953076059596260413718230752249653803 Wed Dec 24 13:32:23 2008 elapsed time 20:34:53 (Msieve 1.39 - dependency 1) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 70.68 hours. Scaled time: 46.58 units (timescale=0.659). Factorization parameters were as follows: name: KA_3_7_184_9 n: 657370440426457224196909528676015642805819843550172264758862997221749950147843630565666366392439605388006719253164554952138526942848104848416356407 type: snfs skew: 0.80 deg: 5 c5: 34 c0: 11 m: 10000000000000000000000000000000000000 rlim: 8500000 alim: 8500000 lpbr: 29 lpba: 29 mfbr: 58 mfba: 58 rlambda: 2.5 alambda: 2.5 qintsize: 50000 Factor base limits: 8500000/8500000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 58/58 Sieved special-q in [100000, 3150001) Primes: RFBsize:571119, AFBsize:571308, largePrimes:32711526 encountered Relations: rels:29594547, finalFF:1086092 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 4539192 hash collisions in 33167915 relations Msieve: matrix is 1455727 x 1455975 (395.1 MB) Total sieving time: 68.38 hours. Total relation processing time: 2.30 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,186,5,0,0,0,0,0,0,0,0,8500000,8500000,29,29,58,58,2.5,2.5,100000 total time: 70.68 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)

## 34×10187+119

### c159

name 名前 Dmitry Domanov May 12, 2011 14:01:06 UTC 2011 年 5 月 12 日 (木) 23 時 1 分 6 秒 (日本時間) `346895849181743058508789373565936550569444909060589917286949927192448103920739590348428597573865625340925471180242060512965673273221674309572797400691530208363<159>` ```10814380909580603832865415013640151<35> 32077273038757439502227946351326334158873254442164989291984478067428460172208338111517326174859166416312314024377270067926413<125>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4005143672 Step 1 took 59781ms Step 2 took 22775ms ********** Factor found in step 2: 10814380909580603832865415013640151 Found probable prime factor of 35 digits: 10814380909580603832865415013640151 Probable prime cofactor 32077273038757439502227946351326334158873254442164989291984478067428460172208338111517326174859166416312314024377270067926413 has 125 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)

## 34×10188+119

### c167

name 名前 Serge Batalov December 3, 2008 02:17:32 UTC 2008 年 12 月 3 日 (水) 11 時 17 分 32 秒 (日本時間) `16815507335912327620899381039951420626327299945596055750617418185546570073053404030142074417090484474060608622183857148888288106326800343956709614111579386048915576631<167>` `141522473677954575496709305193<30>` `118818636354373834678341129976690275885036383831189369268516472576592786183983394505260652754963952768044196554737946327636300583734935967<138>` ```Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2017253979 Step 1 took 8272ms Step 2 took 192ms ********** Factor found in step 2: 141522473677954575496709305193 Found probable prime factor of 30 digits: 141522473677954575496709305193 Composite cofactor 118818636354373834678341129976690275885036383831189369268516472576592786183983394505260652754963952768044196554737946327636300583734935967 has 138 digits``` `GMP-ECM 6.2.1`

### c138

name 名前 Dmitry Domanov May 13, 2011 06:12:23 UTC 2011 年 5 月 13 日 (金) 15 時 12 分 23 秒 (日本時間) `118818636354373834678341129976690275885036383831189369268516472576592786183983394505260652754963952768044196554737946327636300583734935967<138>` ```365021864306737230644472625478203133<36> 325511011730868505991011219543030124578864016134756641721660178929408642696335008497093839603429962699<102>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4259421936 Step 1 took 48545ms Step 2 took 19873ms ********** Factor found in step 2: 365021864306737230644472625478203133 Found probable prime factor of 36 digits: 365021864306737230644472625478203133 Probable prime cofactor 325511011730868505991011219543030124578864016134756641721660178929408642696335008497093839603429962699 has 102 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovMay 12, 2011 14:02:35 UTC 2011 年 5 月 12 日 (木) 23 時 2 分 35 秒 (日本時間)

## 34×10189+119

### c173

name 名前 Dmitry Domanov February 6, 2015 08:53:42 UTC 2015 年 2 月 6 日 (金) 17 時 53 分 42 秒 (日本時間) `79648989412479693485246535783946839629412595783642631085582027097980363442235335471125678281920569320053131403280023343004928473062849054883853500762599703069077727480508717<173>` ```357781113701518234380868750508244311951238222888642101437<57> 222619323274082885652345959293548017638031197429771911931120030220889199754811371777266820862976732782907589338075441<117>``` ```N=79648989412479693485246535783946839629412595783642631085582027097980363442235335471125678281920569320053131403280023343004928473062849054883853500762599703069077727480508717 ( 173 digits) SNFS difficulty: 191 digits. Divisors found: r1=357781113701518234380868750508244311951238222888642101437 (pp57) r2=222619323274082885652345959293548017638031197429771911931120030220889199754811371777266820862976732782907589338075441 (pp117) Version: Msieve v. 1.50 (SVN unknown) Total time: 273.57 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 79648989412479693485246535783946839629412595783642631085582027097980363442235335471125678281920569320053131403280023343004928473062849054883853500762599703069077727480508717 m: 100000000000000000000000000000000000000 deg: 5 c5: 17 c0: 55 skew: 1.26 # Murphy_E = 3.908e-11 type: snfs lss: 1 rlim: 10800000 alim: 10800000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 qintsize: 600000 Factor base limits: 10800000/10800000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved rational special-q in [5400000, 16800001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 2227959 x 2228185 Total sieving time: 267.17 hours. Total relation processing time: 0.26 hours. Matrix solve time: 5.66 hours. Time per square root: 0.48 hours. Prototype def-par.txt line would be: snfs,191.000,5,0,0,0,0,0,0,0,0,10800000,10800000,28,28,54,54,2.5,2.5,100000 total time: 273.57 hours.```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)
351e60--
403e61800300Dmitry DomanovMay 12, 2011 14:02:43 UTC 2011 年 5 月 12 日 (木) 23 時 2 分 43 秒 (日本時間)
1500Dmitry DomanovSeptember 24, 2013 12:09:41 UTC 2013 年 9 月 24 日 (火) 21 時 9 分 41 秒 (日本時間)
4511e61000 / 3379Dmitry DomanovSeptember 24, 2013 12:09:41 UTC 2013 年 9 月 24 日 (火) 21 時 9 分 41 秒 (日本時間)
5043e6200 / 7261Dmitry DomanovDecember 20, 2014 01:34:57 UTC 2014 年 12 月 20 日 (土) 10 時 34 分 57 秒 (日本時間)

## 34×10191+119

### c132

name 名前 Wataru Sakai April 5, 2009 04:41:58 UTC 2009 年 4 月 5 日 (日) 13 時 41 分 58 秒 (日本時間) `756236373443160421453035121713600323765358409279729564246893368867908079643552806026560336377896698009718785518696985667083469908299<132>` `120026378003113347218196971409257395549<39>` `6300584804979656332522486024330108364763076187442062528945022670680294571785341216951168599751<94>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=314363672 Step 1 took 40842ms Step 2 took 15087ms ********** Factor found in step 2: 120026378003113347218196971409257395549 Found probable prime factor of 39 digits: 120026378003113347218196971409257395549 Composite cofactor 6300584804979656332522486024330108364763076187442062528945022670680294571785341216951168599751 has 94 digits```

### c94

name 名前 Serge Batalov April 5, 2009 20:10:49 UTC 2009 年 4 月 6 日 (月) 5 時 10 分 49 秒 (日本時間) `6300584804979656332522486024330108364763076187442062528945022670680294571785341216951168599751<94>` ```5576459049616245331794588700591305015687512059<46> 1129854043384976187722965516017107068808930983589<49>``` ```N=6300584804979656332522486024330108364763076187442062528945022670680294571785341216951168599751 ( 94 digits) Divisors found: r1=5576459049616245331794588700591305015687512059 (pp46) r2=1129854043384976187722965516017107068808930983589 (pp49) Version: Msieve-1.41 Total time: 1.82 hours. Scaled time: 5.19 units (timescale=2.847). Factorization parameters were as follows: name: t n: 6300584804979656332522486024330108364763076187442062528945022670680294571785341216951168599751 m: 2977730393083962263171 deg: 4 c4: 80138160 c3: 449063211 c2: -104636056272405988 c1: 116041174740284550030 c0: -88597242062159449752 skew: 1635.250 type: gnfs # adj. I(F,S) = 55.529 # E(F1,F2) = 5.303132e-05 # GGNFS version 0.77.1-20060722-k8 polyselect. # Options were: # lcd=1, enumLCD=24, maxS1=60.00000000, seed=1238954774. # maxskew=2000.0 # These parameters should be manually set: rlim: 1200000 alim: 1200000 lpbr: 25 lpba: 25 mfbr: 45 mfba: 45 rlambda: 2.4 alambda: 2.4 qintsize: 60000 type: gnfs Factor base limits: 1200000/1200000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 45/45 Sieved algebraic special-q in [600000, 1200001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 158994 x 159221 Polynomial selection time: 0.17 hours. Total sieving time: 1.55 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.07 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: gnfs,93,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000 total time: 1.82 hours.``` `Msieve-1.41` `Phenom II X4 940/openSUSE/x86_64`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)

## 34×10193+119

### c192

name 名前 Wataru Sakai February 10, 2009 13:18:48 UTC 2009 年 2 月 10 日 (火) 22 時 18 分 48 秒 (日本時間) `968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968661<192>` ```73872414964991438154457483704634845335532705457402330595616523903<65> 13112620849338994250152717854469097344358167518774155826832299075626325663630475733433075729484006608794021173456736425417519787<128>``` ```Number: 37779_193 N=968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968661 ( 192 digits) SNFS difficulty: 195 digits. Divisors found: r1=73872414964991438154457483704634845335532705457402330595616523903 r2=13112620849338994250152717854469097344358167518774155826832299075626325663630475733433075729484006608794021173456736425417519787 Version: Total time: 628.47 hours. Scaled time: 1191.57 units (timescale=1.896). Factorization parameters were as follows: n: 968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968661 m: 500000000000000000000000000000000000000 deg: 5 c5: 272 c0: 275 skew: 1.00 type: snfs lss: 1 rlim: 12900000 alim: 12900000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5Factor base limits: 12900000/12900000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved rational special-q in [6450000, 13550001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 2002769 x 2003017 Total sieving time: 628.47 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,195,5,0,0,0,0,0,0,0,0,12900000,12900000,28,28,55,55,2.5,2.5,100000 total time: 628.47 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)

## 34×10194+119

### c195

name 名前 Wataru Sakai December 15, 2008 13:22:46 UTC 2008 年 12 月 15 日 (月) 22 時 22 分 46 秒 (日本時間) `377777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<195>` ```2691197740780502992199450526686456932840409619277<49> 140375332534358627509741440328961748053188124694231767125239461652617980761194328247328425405232588742773325753465604320143168823613280390506804927<147>``` ```Number: 37779_194 N=377777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779 ( 195 digits) SNFS difficulty: 196 digits. Divisors found: r1=2691197740780502992199450526686456932840409619277 r2=140375332534358627509741440328961748053188124694231767125239461652617980761194328247328425405232588742773325753465604320143168823613280390506804927 Version: Total time: 658.53 hours. Scaled time: 1313.11 units (timescale=1.994). Factorization parameters were as follows: n: 377777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779 m: 1000000000000000000000000000000000000000 deg: 5 c5: 17 c0: 55 skew: 1.26 type: snfs lss: 1 rlim: 13000000 alim: 13000000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5Factor base limits: 13000000/13000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved rational special-q in [6500000, 13600001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 2061273 x 2061521 Total sieving time: 658.53 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,196,5,0,0,0,0,0,0,0,0,13000000,13000000,28,28,55,55,2.5,2.5,100000 total time: 658.53 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkDecember 3, 2008 02:40:26 UTC 2008 年 12 月 3 日 (水) 11 時 40 分 26 秒 (日本時間)

## 34×10197+119

### c166

composite cofactor 合成数の残り `2092981811137394221938834429524562317547876790072190108942926309884015674361264061690441564419178534292033129843488536593501832561680662372689710053462068462403152749<166>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)
351e60--
403e61800300Dmitry DomanovMay 12, 2011 14:02:59 UTC 2011 年 5 月 12 日 (木) 23 時 2 分 59 秒 (日本時間)
1500Dmitry DomanovSeptember 25, 2013 13:41:55 UTC 2013 年 9 月 25 日 (水) 22 時 41 分 55 秒 (日本時間)
4511e61500 / 3730Dmitry DomanovSeptember 25, 2013 13:41:55 UTC 2013 年 9 月 25 日 (水) 22 時 41 分 55 秒 (日本時間)
5043e6100 / 7149Dmitry DomanovDecember 20, 2014 01:35:18 UTC 2014 年 12 月 20 日 (土) 10 時 35 分 18 秒 (日本時間)

## 34×10198+119

### c173

name 名前 Serge Batalov December 3, 2008 07:22:34 UTC 2008 年 12 月 3 日 (水) 16 時 22 分 34 秒 (日本時間) `98824172888778739734116888625450891110525612724104102473879531594442238280985748503984574715888948000938797072984141372294885118290494308343550286491565782720509172964707953<173>` ```487431470528644422733146459735402767<36> 202744752573318372422323054839304128700408443189463262974309331874473226300108176768945751786926898861429679103905594441113327049733804159<138>``` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4272672805 Step 1 took 27411ms Step 2 took 16584ms ********** Factor found in step 2: 487431470528644422733146459735402767 Found probable prime factor of 36 digits: 487431470528644422733146459735402767 Probable prime cofactor 202744752573318372422323054839304128700408443189463262974309331874473226300108176768945751786926898861429679103905594441113327049733804159 has 138 digits``` `GMP-ECM 6.2.1`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)

## 34×10199+119

### c152

composite cofactor 合成数の残り `10953829704231791410085821414232405799739351349985969557656598455228324439483161987798208582588891428733655478700248370983706723556511294017447598431241<152>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)
351e60--
403e61800300Dmitry DomanovMay 12, 2011 14:03:09 UTC 2011 年 5 月 12 日 (木) 23 時 3 分 9 秒 (日本時間)
1500Dmitry DomanovSeptember 25, 2013 13:42:13 UTC 2013 年 9 月 25 日 (水) 22 時 42 分 13 秒 (日本時間)
4511e61500 / 3730Dmitry DomanovSeptember 25, 2013 13:42:13 UTC 2013 年 9 月 25 日 (水) 22 時 42 分 13 秒 (日本時間)
5043e6100 / 7149Dmitry DomanovDecember 20, 2014 01:35:43 UTC 2014 年 12 月 20 日 (土) 10 時 35 分 43 秒 (日本時間)

## 34×10200+119

### c181

name 名前 Robert Backstrom September 23, 2012 06:04:14 UTC 2012 年 9 月 23 日 (日) 15 時 4 分 14 秒 (日本時間) `5413674578713849589434252081985438550521055284066070864916766672590802532737804962688742787631518660999416339141909783264602272025782500764826391014355818771115703716362949315797043<181>` ```3106275864957336201694961142327261618863<40> 3190193936711052958505070127239129976521363998551203041<55> 546304828148536822461022977016359333068328530502908292543752656119493709515207523389021<87>``` ```Number: n N=5413674578713849589434252081985438550521055284066070864916766672590802532737804962688742787631518660999416339141909783264602272025782500764826391014355818771115703716362949315797043 ( 181 digits) SNFS difficulty: 201 digits. Divisors found: Sun Sep 23 03:17:45 2012 prp40 factor: 3106275864957336201694961142327261618863 Sun Sep 23 03:17:45 2012 prp55 factor: 3190193936711052958505070127239129976521363998551203041 Sun Sep 23 03:17:45 2012 prp87 factor: 546304828148536822461022977016359333068328530502908292543752656119493709515207523389021 Sun Sep 23 03:17:45 2012 elapsed time 06:19:12 (Msieve 1.44 - dependency 5) Version: GGNFS-0.77.1-20060513-nocona Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.100). Factorization parameters were as follows: name: KA_37779_200 n: 5413674578713849589434252081985438550521055284066070864916766672590802532737804962688742787631518660999416339141909783264602272025782500764826391014355818771115703716362949315797043 m: 10000000000000000000000000000000000000000 # c181, diff: 201.53 skew: 0.798 deg: 5 c5: 34 c0: 11 # Murphy_E = 1.422e-11 type: snfs lss: 1 rlim: 16000000 alim: 16000000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 16000000/16000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 56/56 Sieved special-q in [100000, 23200000) Primes: RFBsize:1031130, AFBsize:1030924, Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 9057557 hash collisions in 66211115 relations (58585853 unique) Msieve: matrix is 1873483 x 1873709 (528.4 MB) Total sieving time: 0.00 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,201,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU Q9550 @ 2.83GHz stepping 07 CPU1: Intel(R) Core(TM)2 Quad CPU Q9550 @ 2.83GHz stepping 07 CPU2: Intel(R) Core(TM)2 Quad CPU Q9550 @ 2.83GHz stepping 07 CPU3: Intel(R) Core(TM)2 Quad CPU Q9550 @ 2.83GHz stepping 07 Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830713) Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448) Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830455) Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461) Total of 4 processors activated (22644.15 BogoMIPS).```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovMay 12, 2011 14:03:18 UTC 2011 年 5 月 12 日 (木) 23 時 3 分 18 秒 (日本時間)

## 34×10201+119

### c195

name 名前 Serge Batalov December 3, 2008 04:48:40 UTC 2008 年 12 月 3 日 (水) 13 時 48 分 40 秒 (日本時間) `589005985011079635670694445505521402736462905762974879362479324374101884973333013884204992030142693109639947397607849204627972472839937918076231614546306619781097311567067573590364458020685924841<195>` `947638487444381399137523776727917<33>` `621551354039585113776369048662467374494877397995276706501347037287825921109330099815375691340299939198266932712737822293439082110528073781426306264610059081985773<162>` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3942574903 Step 1 took 35263ms Step 2 took 21016ms ********** Factor found in step 2: 947638487444381399137523776727917 Found probable prime factor of 33 digits: 947638487444381399137523776727917 Composite cofactor 621551354039585113776369048662467374494877397995276706501347037287825921109330099815375691340299939198266932712737822293439082110528073781426306264610059081985773 has 162 digits``` `GMP-ECM 6.2.1`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)
351e60--
403e61800300Dmitry DomanovMay 12, 2011 14:03:27 UTC 2011 年 5 月 12 日 (木) 23 時 3 分 27 秒 (日本時間)
1500Dmitry DomanovSeptember 25, 2013 13:42:34 UTC 2013 年 9 月 25 日 (水) 22 時 42 分 34 秒 (日本時間)
4511e61500 / 3379Dmitry DomanovSeptember 25, 2013 13:42:34 UTC 2013 年 9 月 25 日 (水) 22 時 42 分 34 秒 (日本時間)
5043e6200 / 7149Dmitry DomanovDecember 20, 2014 01:36:17 UTC 2014 年 12 月 20 日 (土) 10 時 36 分 17 秒 (日本時間)

## 34×10203+119

### c172

name 名前 Serge Batalov December 3, 2008 02:43:05 UTC 2008 年 12 月 3 日 (水) 11 時 43 分 5 秒 (日本時間) `1564171290059470623318265631073100373308160023246774935851994615573080583405151861237289509892512591553495944110546041188982350381230056745283489531491015129067449823992713<172>` `241852534709016633483041799377417<33>` `6467458742747490908426758718543314878516214661999799045633580159444730768422463131124826108330789481076500407954611602955238945601019157889<139>` ```Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1984248884 Step 1 took 8287ms Step 2 took 5223ms ********** Factor found in step 2: 241852534709016633483041799377417 Found probable prime factor of 33 digits: 241852534709016633483041799377417 Composite cofactor 6467458742747490908426758718543314878516214661999799045633580159444730768422463131124826108330789481076500407954611602955238945601019157889 has 139 digits``` `GMP-ECM 6.2.1`

### c139

name 名前 Markus Tervooren March 9, 2010 21:38:37 UTC 2010 年 3 月 10 日 (水) 6 時 38 分 37 秒 (日本時間) `6467458742747490908426758718543314878516214661999799045633580159444730768422463131124826108330789481076500407954611602955238945601019157889<139>` ```1079686769799435549615969851322779813252480674739389358753527582406033<70> 5990125028529243756969763931512389043026407645831818561136584813883633<70>``` ```~15 cpu-days of sieving, poly selected by Jeff Gilchrist Msieve v. 1.44 Tue Mar 9 10:16:27 2010 random seeds: bdf037b9 314c77a3 factoring 6467458742747490908426758718543314878516214661999799045633580159444730768422463131124826108330789481076500407954611602955238945601019157889 (139 digits) searching for 15-digit factors commencing number field sieve (139-digit input) R0: -547704007448629049153036393 R1: 3876095718751219 A0: 120962641837821114052609863091200 A1: -2239140492639842857809526700 A2: -44732134564940123623624 A3: 60787651256756811 A4: 172508127714 A5: 131220 skew 363298.70, size 2.049835e-13, alpha -6.286026, combined = 2.478820e-11 commencing relation filtering estimated available RAM is 8010.2 MB commencing duplicate removal, pass 1 found 18811770 hash collisions in 116486269 relations commencing duplicate removal, pass 2 found 17218724 duplicates and 99267545 unique relations memory use: 660.8 MB reading ideals above 29294592 commencing singleton removal, initial pass memory use: 3012.0 MB reading all ideals from disk memory use: 1771.1 MB commencing in-memory singleton removal begin with 99267545 relations and 109641405 unique ideals reduce to 25818456 relations and 19667880 ideals in 21 passes max relations containing the same ideal: 19 reading ideals above 720000 commencing singleton removal, initial pass memory use: 689.0 MB reading all ideals from disk memory use: 840.9 MB keeping 23161556 ideals with weight <= 200, target excess is 137500 commencing in-memory singleton removal begin with 25818461 relations and 23161556 unique ideals reduce to 25786268 relations and 23129350 ideals in 15 passes max relations containing the same ideal: 200 removing 3901355 relations and 3501355 ideals in 400000 cliques commencing in-memory singleton removal begin with 21884913 relations and 23129350 unique ideals reduce to 21500419 relations and 19235368 ideals in 12 passes max relations containing the same ideal: 183 removing 2767812 relations and 2367812 ideals in 400000 cliques commencing in-memory singleton removal begin with 18732607 relations and 19235368 unique ideals reduce to 18491858 relations and 16622127 ideals in 12 passes max relations containing the same ideal: 166 removing 2392611 relations and 1992611 ideals in 400000 cliques commencing in-memory singleton removal begin with 16099247 relations and 16622127 unique ideals reduce to 15888465 relations and 14414347 ideals in 9 passes max relations containing the same ideal: 149 removing 2187077 relations and 1787077 ideals in 400000 cliques commencing in-memory singleton removal begin with 13701388 relations and 14414347 unique ideals reduce to 13493641 relations and 12414806 ideals in 9 passes max relations containing the same ideal: 133 removing 2047199 relations and 1647199 ideals in 400000 cliques commencing in-memory singleton removal begin with 11446442 relations and 12414806 unique ideals reduce to 11224823 relations and 10540149 ideals in 9 passes max relations containing the same ideal: 117 removing 1954897 relations and 1554897 ideals in 400000 cliques commencing in-memory singleton removal begin with 9269926 relations and 10540149 unique ideals reduce to 9022639 relations and 8730188 ideals in 12 passes max relations containing the same ideal: 102 removing 826069 relations and 693119 ideals in 132950 cliques commencing in-memory singleton removal begin with 8196570 relations and 8730188 unique ideals reduce to 8144648 relations and 7984418 ideals in 9 passes max relations containing the same ideal: 97 relations with 0 large ideals: 513 relations with 1 large ideals: 1328 relations with 2 large ideals: 22667 relations with 3 large ideals: 174382 relations with 4 large ideals: 713683 relations with 5 large ideals: 1677855 relations with 6 large ideals: 2350752 relations with 7+ large ideals: 3203468 commencing 2-way merge reduce to 4703021 relation sets and 4542791 unique ideals commencing full merge memory use: 549.0 MB found 2470326 cycles, need 2448991 weight of 2448991 cycles is about 171484802 (70.02/cycle) distribution of cycle lengths: 1 relations: 329207 2 relations: 285509 3 relations: 276184 4 relations: 252739 5 relations: 234282 6 relations: 204248 7 relations: 181321 8 relations: 154325 9 relations: 127236 10+ relations: 403940 heaviest cycle: 21 relations commencing cycle optimization start with 13773794 relations pruned 263974 relations memory use: 471.1 MB distribution of cycle lengths: 1 relations: 329207 2 relations: 290720 3 relations: 283497 4 relations: 256883 5 relations: 238790 6 relations: 206721 7 relations: 183190 8 relations: 154434 9 relations: 126518 10+ relations: 379031 heaviest cycle: 21 relations RelProcTime: 2991 commencing linear algebra read 2448991 cycles cycles contain 8005485 unique relations read 8005485 relations using 20 quadratic characters above 2147440722 building initial matrix memory use: 997.8 MB read 2448991 cycles matrix is 2448811 x 2448991 (734.8 MB) with weight 225542630 (92.10/col) sparse part has weight 165683815 (67.65/col) filtering completed in 2 passes matrix is 2446924 x 2447104 (734.7 MB) with weight 225478170 (92.14/col) sparse part has weight 165666661 (67.70/col) read 2447104 cycles matrix is 2446924 x 2447104 (734.7 MB) with weight 225478170 (92.14/col) sparse part has weight 165666661 (67.70/col) saving the first 48 matrix rows for later matrix is 2446876 x 2447104 (706.4 MB) with weight 180241710 (73.66/col) sparse part has weight 160708064 (65.67/col) matrix includes 64 packed rows using block size 65536 for processor cache size 4096 kB commencing Lanczos iteration (4 threads) memory use: 747.7 MB linear algebra at 0.0%, ETA 9h 0m447104 dimensions (0.0%, ETA 9h 0m) ^Cnear algebra completed 297303 of 2447104 dimensions (12.1%, ETA 7h57m) received signal 2; shutting down lanczos halted after 4703 iterations (dim = 297494) BLanczosTime: 4375 debian:/mnt/backup/nfs/# msieve -ncr -t 2 -nf nn.fb -i nn.ini -s nn.dat -v Msieve v. 1.44 Tue Mar 9 12:19:19 2010 random seeds: 3823aa35 ae5d0313 factoring 6467458742747490908426758718543314878516214661999799045633580159444730768422463131124826108330789481076500407954611602955238945601019157889 (139 digits) searching for 15-digit factors commencing number field sieve (139-digit input) R0: -547704007448629049153036393 R1: 3876095718751219 A0: 120962641837821114052609863091200 A1: -2239140492639842857809526700 A2: -44732134564940123623624 A3: 60787651256756811 A4: 172508127714 A5: 131220 skew 363298.70, size 2.049835e-13, alpha -6.286026, combined = 2.478820e-11 commencing linear algebra read 2447104 cycles matrix is 2446924 x 2447104 (734.7 MB) with weight 225478170 (92.14/col) sparse part has weight 165666661 (67.70/col) saving the first 48 matrix rows for later matrix is 2446876 x 2447104 (706.4 MB) with weight 180241710 (73.66/col) sparse part has weight 160708064 (65.67/col) matrix includes 64 packed rows using block size 65536 for processor cache size 4096 kB commencing Lanczos iteration (2 threads) memory use: 710.3 MB restarting at iteration 4703 (dim = 297494) linear algebra at 12.2%, ETA 7h50m 2447104 dimensions (12.2%, ETA 7h50m) linear algebra completed 2446823 of 2447104 dimensions (100.0%, ETA 0h 0m) lanczos halted after 38693 iterations (dim = 2446876) recovered 29 nontrivial dependencies BLanczosTime: 32475 elapsed time 09:01:16 debian:/mnt/backup/nfs/# msieve -nc3 -t 2 -nf nn.fb -i nn.ini -s nn.dat -v Msieve v. 1.44 Tue Mar 9 21:39:14 2010 random seeds: e82038e2 eaaa0270 factoring 6467458742747490908426758718543314878516214661999799045633580159444730768422463131124826108330789481076500407954611602955238945601019157889 (139 digits) searching for 15-digit factors commencing number field sieve (139-digit input) R0: -547704007448629049153036393 R1: 3876095718751219 A0: 120962641837821114052609863091200 A1: -2239140492639842857809526700 A2: -44732134564940123623624 A3: 60787651256756811 A4: 172508127714 A5: 131220 skew 363298.70, size 2.049835e-13, alpha -6.286026, combined = 2.478820e-11 commencing square root phase reading relations for dependency 1 read 1223353 cycles cycles contain 4001374 unique relations read 4001374 relations multiplying 4001374 relations multiply complete, coefficients have about 198.96 million bits initial square root is modulo 13807141 sqrtTime: 958 prp70 factor: 1079686769799435549615969851322779813252480674739389358753527582406033 prp70 factor: 5990125028529243756969763931512389043026407645831818561136584813883633 elapsed time 00:15:59```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)
351e60--
403e62336500Erik BrangerMarch 21, 2009 09:49:54 UTC 2009 年 3 月 21 日 (土) 18 時 49 分 54 秒 (日本時間)
1836Wataru SakaiJuly 26, 2009 07:38:24 UTC 2009 年 7 月 26 日 (日) 16 時 38 分 24 秒 (日本時間)

## 34×10204+119

### c197

name 名前 Robert Backstrom February 8, 2011 19:19:33 UTC 2011 年 2 月 9 日 (水) 4 時 19 分 33 秒 (日本時間) `55422742289022862283824143853887576991826891328751232033297879242082979852380776076086048938897611694988886085639185523223704492054177549757531452279917769668485134113508518003581473029458946383643<197>` ```233922761312504944866945368108459798097079851995709097274699004498639238021<75> 236927531027995335872677107221051822016894046850508432737749313828852960423659094062772540170659342030002668269609536829983<123>``` ```This factorisation finally succeeded at dependency number 18. See msieve.log, below, for all the failed sqrts, including the amazing message "algebraic side is not a square!". Incredible! --Bob. Number: n N=55422742289022862283824143853887576991826891328751232033297879242082979852380776076086048938897611694988886085639185523223704492054177549757531452279917769668485134113508518003581473029458946383643 ( 197 digits) SNFS difficulty: 205 digits. Divisors found: Wed Feb 9 05:07:51 2011 prp75 factor: 233922761312504944866945368108459798097079851995709097274699004498639238021 Wed Feb 9 05:07:51 2011 prp123 factor: 236927531027995335872677107221051822016894046850508432737749313828852960423659094062772540170659342030002668269609536829983 Wed Feb 9 05:07:51 2011 elapsed time 13:16:18 (Msieve 1.44 - dependency 18) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.086). Factorization parameters were as follows: name: KA_3_7_203_9 n: 55422742289022862283824143853887576991826891328751232033297879242082979852380776076086048938897611694988886085639185523223704492054177549757531452279917769668485134113508518003581473029458946383643 m: 20000000000000000000000000000000000000000 # Diff: 205.53 deg: 5 c5: 10625 c0: 11 skew: 0.25 type: snfs lss: 1 rlim: 15000000 alim: 15000000 lpbr: 28 lpba: 28 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 15000000/15000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 56/56 Sieved special-q in [100000, 28300000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 5381621 hash collisions in 30202654 relations Msieve: matrix is 2653262 x 2653487 (758.6 MB) Total sieving time: 0.00 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,205,5,0,0,0,0,0,0,0,0,15000000,15000000,28,28,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU Q9550 @ 2.83GHz stepping 07 CPU1: Intel(R) Core(TM)2 Quad CPU Q9550 @ 2.83GHz stepping 07 CPU2: Intel(R) Core(TM)2 Quad CPU Q9550 @ 2.83GHz stepping 07 CPU3: Intel(R) Core(TM)2 Quad CPU Q9550 @ 2.83GHz stepping 07 Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 5659.83 BogoMIPS (lpj=2829919) Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448) Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459) Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830456) Total of 4 processors activated (22642.56 BogoMIPS). msieve.log: Tue Feb 8 15:50:39 2011 Tue Feb 8 15:50:39 2011 Tue Feb 8 15:50:39 2011 Msieve v. 1.44 Tue Feb 8 15:50:39 2011 random seeds: 41dfbb2a 42a7f27c Tue Feb 8 15:50:39 2011 factoring 55422742289022862283824143853887576991826891328751232033297879242082979852380776076086048938897611694988886085639185523223704492054177549757531452279917769668485134113508518003581473029458946383643 (197 digits) Tue Feb 8 15:50:41 2011 no P-1/P+1/ECM available, skipping Tue Feb 8 15:50:41 2011 commencing number field sieve (197-digit input) Tue Feb 8 15:50:41 2011 R0: -20000000000000000000000000000000000000000 Tue Feb 8 15:50:41 2011 R1: 1 Tue Feb 8 15:50:41 2011 A0: 11 Tue Feb 8 15:50:41 2011 A1: 0 Tue Feb 8 15:50:41 2011 A2: 0 Tue Feb 8 15:50:41 2011 A3: 0 Tue Feb 8 15:50:41 2011 A4: 0 Tue Feb 8 15:50:41 2011 A5: 10625 Tue Feb 8 15:50:41 2011 skew 1.00, size 2.268237e-14, alpha -0.129901, combined = 7.732772e-12 Tue Feb 8 15:50:41 2011 Tue Feb 8 15:50:41 2011 commencing relation filtering Tue Feb 8 15:50:41 2011 estimated available RAM is 7923.9 MB Tue Feb 8 15:50:41 2011 commencing duplicate removal, pass 1 Tue Feb 8 15:50:41 2011 found 0 hash collisions in 0 relations Tue Feb 8 15:50:41 2011 reading ideals above 30000 Tue Feb 8 15:50:41 2011 commencing singleton removal, initial pass Tue Feb 8 15:50:41 2011 memory use: 0.1 MB Tue Feb 8 15:50:41 2011 reading all ideals from disk Tue Feb 8 15:50:41 2011 memory use: 0.0 MB Tue Feb 8 15:50:41 2011 commencing in-memory singleton removal Tue Feb 8 15:50:41 2011 begin with 0 relations and 0 unique ideals Tue Feb 8 15:50:41 2011 reduce to 0 relations and 0 ideals in 1 passes Tue Feb 8 15:50:41 2011 max relations containing the same ideal: 0 Tue Feb 8 15:50:41 2011 filtering wants 1000000 more relations Tue Feb 8 15:50:41 2011 elapsed time 00:00:02 Tue Feb 8 15:51:33 2011 Tue Feb 8 15:51:33 2011 Tue Feb 8 15:51:33 2011 Msieve v. 1.44 Tue Feb 8 15:51:33 2011 random seeds: c16ed006 d0a8f830 Tue Feb 8 15:51:33 2011 factoring 55422742289022862283824143853887576991826891328751232033297879242082979852380776076086048938897611694988886085639185523223704492054177549757531452279917769668485134113508518003581473029458946383643 (197 digits) Tue Feb 8 15:51:34 2011 no P-1/P+1/ECM available, skipping Tue Feb 8 15:51:34 2011 commencing number field sieve (197-digit input) Tue Feb 8 15:51:34 2011 R0: -20000000000000000000000000000000000000000 Tue Feb 8 15:51:34 2011 R1: 1 Tue Feb 8 15:51:34 2011 A0: 11 Tue Feb 8 15:51:34 2011 A1: 0 Tue Feb 8 15:51:34 2011 A2: 0 Tue Feb 8 15:51:34 2011 A3: 0 Tue Feb 8 15:51:34 2011 A4: 0 Tue Feb 8 15:51:34 2011 A5: 10625 Tue Feb 8 15:51:34 2011 skew 1.00, size 2.268237e-14, alpha -0.129901, combined = 7.732772e-12 Tue Feb 8 15:51:34 2011 Tue Feb 8 15:51:34 2011 commencing relation filtering Tue Feb 8 15:51:34 2011 estimated available RAM is 7923.9 MB Tue Feb 8 15:51:34 2011 commencing duplicate removal, pass 1 Tue Feb 8 15:52:01 2011 error -11 reading relation 4214542 Tue Feb 8 15:52:07 2011 error -11 reading relation 5038329 Tue Feb 8 15:52:13 2011 error -11 reading relation 5994373 Tue Feb 8 15:52:13 2011 error -11 reading relation 5994374 Tue Feb 8 15:52:57 2011 error -11 reading relation 12559290 Tue Feb 8 15:53:15 2011 error -11 reading relation 15199863 Tue Feb 8 15:54:14 2011 error -11 reading relation 24104501 Tue Feb 8 15:54:15 2011 error -6 reading relation 24309948 Tue Feb 8 15:54:55 2011 found 5381621 hash collisions in 30202654 relations Tue Feb 8 15:55:29 2011 added 730354 free relations Tue Feb 8 15:55:29 2011 commencing duplicate removal, pass 2 Tue Feb 8 15:55:43 2011 found 4989450 duplicates and 25943558 unique relations Tue Feb 8 15:55:43 2011 memory use: 165.2 MB Tue Feb 8 15:55:43 2011 reading ideals above 720000 Tue Feb 8 15:55:43 2011 commencing singleton removal, initial pass Tue Feb 8 15:59:55 2011 memory use: 689.0 MB Tue Feb 8 15:59:55 2011 reading all ideals from disk Tue Feb 8 15:59:56 2011 memory use: 891.6 MB Tue Feb 8 16:00:02 2011 keeping 25173168 ideals with weight <= 200, target excess is 142986 Tue Feb 8 16:00:07 2011 commencing in-memory singleton removal Tue Feb 8 16:00:12 2011 begin with 25943558 relations and 25173168 unique ideals Tue Feb 8 16:01:18 2011 reduce to 16209564 relations and 14162778 ideals in 17 passes Tue Feb 8 16:01:18 2011 max relations containing the same ideal: 153 Tue Feb 8 16:01:33 2011 removing 2266737 relations and 1866737 ideals in 400000 cliques Tue Feb 8 16:01:34 2011 commencing in-memory singleton removal Tue Feb 8 16:01:37 2011 begin with 13942827 relations and 14162778 unique ideals Tue Feb 8 16:02:04 2011 reduce to 13733540 relations and 12080436 ideals in 9 passes Tue Feb 8 16:02:04 2011 max relations containing the same ideal: 135 Tue Feb 8 16:02:17 2011 removing 1709235 relations and 1309235 ideals in 400000 cliques Tue Feb 8 16:02:17 2011 commencing in-memory singleton removal Tue Feb 8 16:02:20 2011 begin with 12024305 relations and 12080436 unique ideals Tue Feb 8 16:02:38 2011 reduce to 11885528 relations and 10628572 ideals in 7 passes Tue Feb 8 16:02:38 2011 max relations containing the same ideal: 124 Tue Feb 8 16:02:49 2011 removing 1526375 relations and 1126375 ideals in 400000 cliques Tue Feb 8 16:02:50 2011 commencing in-memory singleton removal Tue Feb 8 16:02:52 2011 begin with 10359153 relations and 10628572 unique ideals Tue Feb 8 16:03:07 2011 reduce to 10225312 relations and 9364362 ideals in 7 passes Tue Feb 8 16:03:07 2011 max relations containing the same ideal: 108 Tue Feb 8 16:03:17 2011 removing 1444999 relations and 1044999 ideals in 400000 cliques Tue Feb 8 16:03:17 2011 commencing in-memory singleton removal Tue Feb 8 16:03:19 2011 begin with 8780313 relations and 9364362 unique ideals Tue Feb 8 16:03:32 2011 reduce to 8641889 relations and 8176227 ideals in 7 passes Tue Feb 8 16:03:32 2011 max relations containing the same ideal: 100 Tue Feb 8 16:03:40 2011 removing 1101975 relations and 802177 ideals in 299798 cliques Tue Feb 8 16:03:41 2011 commencing in-memory singleton removal Tue Feb 8 16:03:42 2011 begin with 7539914 relations and 8176227 unique ideals Tue Feb 8 16:03:55 2011 reduce to 7442308 relations and 7273445 ideals in 8 passes Tue Feb 8 16:03:55 2011 max relations containing the same ideal: 91 Tue Feb 8 16:04:04 2011 relations with 0 large ideals: 3021 Tue Feb 8 16:04:04 2011 relations with 1 large ideals: 778 Tue Feb 8 16:04:04 2011 relations with 2 large ideals: 12069 Tue Feb 8 16:04:04 2011 relations with 3 large ideals: 96345 Tue Feb 8 16:04:04 2011 relations with 4 large ideals: 425644 Tue Feb 8 16:04:04 2011 relations with 5 large ideals: 1127675 Tue Feb 8 16:04:04 2011 relations with 6 large ideals: 1947849 Tue Feb 8 16:04:04 2011 relations with 7+ large ideals: 3828927 Tue Feb 8 16:04:04 2011 commencing 2-way merge Tue Feb 8 16:04:13 2011 reduce to 5086764 relation sets and 4917901 unique ideals Tue Feb 8 16:04:13 2011 commencing full merge Tue Feb 8 16:05:56 2011 memory use: 612.3 MB Tue Feb 8 16:05:57 2011 found 2679183 cycles, need 2654101 Tue Feb 8 16:05:58 2011 weight of 2654101 cycles is about 186059214 (70.10/cycle) Tue Feb 8 16:05:58 2011 distribution of cycle lengths: Tue Feb 8 16:05:58 2011 1 relations: 270920 Tue Feb 8 16:05:58 2011 2 relations: 319141 Tue Feb 8 16:05:58 2011 3 relations: 335451 Tue Feb 8 16:05:58 2011 4 relations: 315992 Tue Feb 8 16:05:58 2011 5 relations: 291400 Tue Feb 8 16:05:58 2011 6 relations: 251908 Tue Feb 8 16:05:58 2011 7 relations: 212073 Tue Feb 8 16:05:58 2011 8 relations: 172291 Tue Feb 8 16:05:58 2011 9 relations: 136734 Tue Feb 8 16:05:58 2011 10+ relations: 348191 Tue Feb 8 16:05:58 2011 heaviest cycle: 20 relations Tue Feb 8 16:05:59 2011 commencing cycle optimization Tue Feb 8 16:06:05 2011 start with 14394664 relations Tue Feb 8 16:06:30 2011 pruned 432397 relations Tue Feb 8 16:06:30 2011 memory use: 456.4 MB Tue Feb 8 16:06:30 2011 distribution of cycle lengths: Tue Feb 8 16:06:30 2011 1 relations: 270920 Tue Feb 8 16:06:30 2011 2 relations: 326573 Tue Feb 8 16:06:30 2011 3 relations: 349397 Tue Feb 8 16:06:30 2011 4 relations: 326183 Tue Feb 8 16:06:30 2011 5 relations: 300675 Tue Feb 8 16:06:30 2011 6 relations: 257222 Tue Feb 8 16:06:30 2011 7 relations: 214813 Tue Feb 8 16:06:30 2011 8 relations: 171529 Tue Feb 8 16:06:30 2011 9 relations: 132335 Tue Feb 8 16:06:30 2011 10+ relations: 304454 Tue Feb 8 16:06:30 2011 heaviest cycle: 20 relations Tue Feb 8 16:06:35 2011 RelProcTime: 901 Tue Feb 8 16:06:35 2011 Tue Feb 8 16:06:35 2011 commencing linear algebra Tue Feb 8 16:06:37 2011 read 2654101 cycles Tue Feb 8 16:06:42 2011 cycles contain 7330327 unique relations Tue Feb 8 16:07:32 2011 read 7330327 relations Tue Feb 8 16:07:43 2011 using 20 quadratic characters above 268434980 Tue Feb 8 16:08:18 2011 building initial matrix Tue Feb 8 16:10:02 2011 memory use: 974.3 MB Tue Feb 8 16:10:03 2011 read 2654101 cycles Tue Feb 8 16:10:04 2011 matrix is 2653924 x 2654101 (793.3 MB) with weight 235857287 (88.87/col) Tue Feb 8 16:10:04 2011 sparse part has weight 178752241 (67.35/col) Tue Feb 8 16:10:36 2011 filtering completed in 2 passes Tue Feb 8 16:10:37 2011 matrix is 2653310 x 2653487 (793.2 MB) with weight 235838263 (88.88/col) Tue Feb 8 16:10:37 2011 sparse part has weight 178746181 (67.36/col) Tue Feb 8 16:10:49 2011 read 2653487 cycles Tue Feb 8 16:10:50 2011 matrix is 2653310 x 2653487 (793.2 MB) with weight 235838263 (88.88/col) Tue Feb 8 16:10:50 2011 sparse part has weight 178746181 (67.36/col) Tue Feb 8 16:10:50 2011 saving the first 48 matrix rows for later Tue Feb 8 16:10:51 2011 matrix is 2653262 x 2653487 (758.6 MB) with weight 188026414 (70.86/col) Tue Feb 8 16:10:51 2011 sparse part has weight 172318080 (64.94/col) Tue Feb 8 16:10:51 2011 matrix includes 64 packed rows Tue Feb 8 16:10:51 2011 using block size 65536 for processor cache size 6144 kB Tue Feb 8 16:11:02 2011 commencing Lanczos iteration (4 threads) Tue Feb 8 16:11:02 2011 memory use: 815.2 MB Tue Feb 8 16:11:13 2011 linear algebra at 0.0%, ETA 9h42m Wed Feb 9 01:56:24 2011 lanczos halted after 41957 iterations (dim = 2653259) Wed Feb 9 01:56:28 2011 recovered 35 nontrivial dependencies Wed Feb 9 01:56:28 2011 BLanczosTime: 35393 Wed Feb 9 01:56:28 2011 Wed Feb 9 01:56:28 2011 commencing square root phase Wed Feb 9 01:56:28 2011 reading relations for dependency 1 Wed Feb 9 01:56:29 2011 read 1324880 cycles Wed Feb 9 01:56:31 2011 cycles contain 3661984 unique relations Wed Feb 9 01:57:00 2011 read 3661984 relations Wed Feb 9 01:57:13 2011 algebraic side is not a square! Wed Feb 9 01:57:13 2011 reading relations for dependency 2 Wed Feb 9 01:57:14 2011 read 1327630 cycles Wed Feb 9 01:57:17 2011 cycles contain 3669122 unique relations Wed Feb 9 01:57:45 2011 read 3669122 relations Wed Feb 9 01:58:09 2011 multiplying 3669122 relations Wed Feb 9 02:07:45 2011 multiply complete, coefficients have about 133.45 million bits Wed Feb 9 02:07:45 2011 error: relation product is incorrect Wed Feb 9 02:07:45 2011 algebraic square root failed Wed Feb 9 02:07:45 2011 reading relations for dependency 3 Wed Feb 9 02:07:46 2011 read 1328388 cycles Wed Feb 9 02:07:48 2011 cycles contain 3667550 unique relations Wed Feb 9 02:08:17 2011 read 3667550 relations Wed Feb 9 02:08:41 2011 multiplying 3667550 relations Wed Feb 9 02:18:16 2011 multiply complete, coefficients have about 133.39 million bits Wed Feb 9 02:18:17 2011 error: relation product is incorrect Wed Feb 9 02:18:17 2011 algebraic square root failed Wed Feb 9 02:18:17 2011 reading relations for dependency 4 Wed Feb 9 02:18:17 2011 read 1327172 cycles Wed Feb 9 02:18:20 2011 cycles contain 3666448 unique relations Wed Feb 9 02:18:49 2011 read 3666448 relations Wed Feb 9 02:19:12 2011 multiplying 3666448 relations Wed Feb 9 02:28:47 2011 multiply complete, coefficients have about 133.35 million bits Wed Feb 9 02:28:47 2011 error: relation product is incorrect Wed Feb 9 02:28:47 2011 algebraic square root failed Wed Feb 9 02:28:47 2011 reading relations for dependency 5 Wed Feb 9 02:28:48 2011 read 1325975 cycles Wed Feb 9 02:28:51 2011 cycles contain 3664820 unique relations Wed Feb 9 02:29:19 2011 read 3664820 relations Wed Feb 9 02:29:43 2011 multiplying 3664820 relations Wed Feb 9 02:39:18 2011 multiply complete, coefficients have about 133.29 million bits Wed Feb 9 02:39:19 2011 error: relation product is incorrect Wed Feb 9 02:39:19 2011 algebraic square root failed Wed Feb 9 02:39:19 2011 reading relations for dependency 6 Wed Feb 9 02:39:20 2011 read 1325649 cycles Wed Feb 9 02:39:22 2011 cycles contain 3664618 unique relations Wed Feb 9 02:39:51 2011 read 3664618 relations Wed Feb 9 02:40:15 2011 multiplying 3664618 relations Wed Feb 9 02:49:50 2011 multiply complete, coefficients have about 133.28 million bits Wed Feb 9 02:49:50 2011 error: relation product is incorrect Wed Feb 9 02:49:50 2011 algebraic square root failed Wed Feb 9 02:49:50 2011 reading relations for dependency 7 Wed Feb 9 02:49:51 2011 read 1325797 cycles Wed Feb 9 02:49:54 2011 cycles contain 3662032 unique relations Wed Feb 9 02:50:22 2011 read 3662032 relations Wed Feb 9 02:50:46 2011 multiplying 3662032 relations Wed Feb 9 03:00:20 2011 multiply complete, coefficients have about 133.19 million bits Wed Feb 9 03:00:20 2011 error: relation product is incorrect Wed Feb 9 03:00:20 2011 algebraic square root failed Wed Feb 9 03:00:20 2011 reading relations for dependency 8 Wed Feb 9 03:00:21 2011 read 1326040 cycles Wed Feb 9 03:00:24 2011 cycles contain 3662690 unique relations Wed Feb 9 03:00:52 2011 read 3662690 relations Wed Feb 9 03:01:16 2011 multiplying 3662690 relations Wed Feb 9 03:10:56 2011 multiply complete, coefficients have about 133.21 million bits Wed Feb 9 03:10:56 2011 error: relation product is incorrect Wed Feb 9 03:10:56 2011 algebraic square root failed Wed Feb 9 03:10:56 2011 reading relations for dependency 9 Wed Feb 9 03:10:57 2011 read 1327734 cycles Wed Feb 9 03:11:00 2011 cycles contain 3667258 unique relations Wed Feb 9 03:11:29 2011 read 3667258 relations Wed Feb 9 03:11:54 2011 multiplying 3667258 relations Wed Feb 9 03:21:37 2011 multiply complete, coefficients have about 133.38 million bits Wed Feb 9 03:21:38 2011 error: relation product is incorrect Wed Feb 9 03:21:38 2011 algebraic square root failed Wed Feb 9 03:21:38 2011 reading relations for dependency 10 Wed Feb 9 03:21:38 2011 read 1326748 cycles Wed Feb 9 03:21:41 2011 cycles contain 3666970 unique relations Wed Feb 9 03:22:10 2011 read 3666970 relations Wed Feb 9 03:22:35 2011 multiplying 3666970 relations Wed Feb 9 03:32:18 2011 multiply complete, coefficients have about 133.37 million bits Wed Feb 9 03:32:19 2011 error: relation product is incorrect Wed Feb 9 03:32:19 2011 algebraic square root failed Wed Feb 9 03:32:19 2011 reading relations for dependency 11 Wed Feb 9 03:32:19 2011 read 1326158 cycles Wed Feb 9 03:32:22 2011 cycles contain 3665410 unique relations Wed Feb 9 03:32:51 2011 read 3665410 relations Wed Feb 9 03:33:16 2011 multiplying 3665410 relations Wed Feb 9 03:42:59 2011 multiply complete, coefficients have about 133.31 million bits Wed Feb 9 03:43:00 2011 error: relation product is incorrect Wed Feb 9 03:43:00 2011 algebraic square root failed Wed Feb 9 03:43:00 2011 reading relations for dependency 12 Wed Feb 9 03:43:01 2011 read 1326885 cycles Wed Feb 9 03:43:03 2011 cycles contain 3663488 unique relations Wed Feb 9 03:43:32 2011 read 3663488 relations Wed Feb 9 03:43:58 2011 multiplying 3663488 relations Wed Feb 9 03:53:41 2011 multiply complete, coefficients have about 133.24 million bits Wed Feb 9 03:53:41 2011 error: relation product is incorrect Wed Feb 9 03:53:41 2011 algebraic square root failed Wed Feb 9 03:53:41 2011 reading relations for dependency 13 Wed Feb 9 03:53:42 2011 read 1326585 cycles Wed Feb 9 03:53:45 2011 cycles contain 3665932 unique relations Wed Feb 9 03:54:14 2011 read 3665932 relations Wed Feb 9 03:54:39 2011 multiplying 3665932 relations Wed Feb 9 04:04:22 2011 multiply complete, coefficients have about 133.33 million bits Wed Feb 9 04:04:22 2011 error: relation product is incorrect Wed Feb 9 04:04:22 2011 algebraic square root failed Wed Feb 9 04:04:23 2011 reading relations for dependency 14 Wed Feb 9 04:04:23 2011 read 1326718 cycles Wed Feb 9 04:04:26 2011 cycles contain 3664846 unique relations Wed Feb 9 04:04:55 2011 read 3664846 relations Wed Feb 9 04:05:20 2011 multiplying 3664846 relations Wed Feb 9 04:15:03 2011 multiply complete, coefficients have about 133.29 million bits Wed Feb 9 04:15:04 2011 error: relation product is incorrect Wed Feb 9 04:15:04 2011 algebraic square root failed Wed Feb 9 04:15:04 2011 reading relations for dependency 15 Wed Feb 9 04:15:04 2011 read 1325854 cycles Wed Feb 9 04:15:07 2011 cycles contain 3661662 unique relations Wed Feb 9 04:15:36 2011 read 3661662 relations Wed Feb 9 04:16:01 2011 multiplying 3661662 relations Wed Feb 9 04:25:44 2011 multiply complete, coefficients have about 133.17 million bits Wed Feb 9 04:25:45 2011 error: relation product is incorrect Wed Feb 9 04:25:45 2011 algebraic square root failed Wed Feb 9 04:25:45 2011 reading relations for dependency 16 Wed Feb 9 04:25:46 2011 read 1325213 cycles Wed Feb 9 04:25:48 2011 cycles contain 3660182 unique relations Wed Feb 9 04:26:17 2011 read 3660182 relations Wed Feb 9 04:26:30 2011 algebraic side is not a square! Wed Feb 9 04:26:30 2011 reading relations for dependency 17 Wed Feb 9 04:26:31 2011 read 1326941 cycles Wed Feb 9 04:26:34 2011 cycles contain 3665474 unique relations Wed Feb 9 04:27:03 2011 read 3665474 relations Wed Feb 9 04:27:28 2011 multiplying 3665474 relations Wed Feb 9 04:37:11 2011 multiply complete, coefficients have about 133.31 million bits Wed Feb 9 04:37:11 2011 error: relation product is incorrect Wed Feb 9 04:37:11 2011 algebraic square root failed Wed Feb 9 04:37:11 2011 reading relations for dependency 18 Wed Feb 9 04:37:12 2011 read 1326893 cycles Wed Feb 9 04:37:15 2011 cycles contain 3664986 unique relations Wed Feb 9 04:37:44 2011 read 3664986 relations Wed Feb 9 04:38:09 2011 multiplying 3664986 relations Wed Feb 9 04:47:52 2011 multiply complete, coefficients have about 133.29 million bits Wed Feb 9 04:47:53 2011 initial square root is modulo 60821 Wed Feb 9 05:07:51 2011 sqrtTime: 11483 Wed Feb 9 05:07:51 2011 prp75 factor: 233922761312504944866945368108459798097079851995709097274699004498639238021 Wed Feb 9 05:07:51 2011 prp123 factor: 236927531027995335872677107221051822016894046850508432737749313828852960423659094062772540170659342030002668269609536829983 Wed Feb 9 05:07:51 2011 elapsed time 13:16:18 ```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiJune 21, 2010 00:18:54 UTC 2010 年 6 月 21 日 (月) 9 時 18 分 54 秒 (日本時間)

## 34×10205+119

### c197

composite cofactor 合成数の残り `10119260384628754390542500696096406819649900523996234703807812351005005281341252777107907294403052233366135400999355292009972631230204384190496604391804013827566569031884650251583609688035282060167<197>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 1, 2008 13:00:00 UTC 2008 年 12 月 1 日 (月) 22 時 0 分 0 秒 (日本時間)
351e60--
403e61800300Dmitry DomanovMay 12, 2011 14:03:37 UTC 2011 年 5 月 12 日 (木) 23 時 3 分 37 秒 (日本時間)
1500Dmitry DomanovSeptember 25, 2013 13:42:52 UTC 2013 年 9 月 25 日 (水) 22 時 42 分 52 秒 (日本時間)
4511e61500 / 3204Dmitry DomanovOctober 25, 2013 13:45:59 UTC 2013 年 10 月 25 日 (金) 22 時 45 分 59 秒 (日本時間)
5043e6250 / 7149Dmitry DomanovDecember 12, 2014 13:53:46 UTC 2014 年 12 月 12 日 (金) 22 時 53 分 46 秒 (日本時間)

## 34×10206+119

### c184

composite cofactor 合成数の残り `1383091998223738382920853870855178957287491920667338556648656088654957492004337595845862577025490520153204107295064345105300181979192197392381706067524306925188989671795174302322190809<184>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 12, 2013 13:00:00 UTC 2013 年 6 月 12 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 25, 2013 13:43:02 UTC 2013 年 9 月 25 日 (水) 22 時 43 分 2 秒 (日本時間)
4511e61500 / 3301Dmitry DomanovNovember 14, 2013 05:26:52 UTC 2013 年 11 月 14 日 (木) 14 時 26 分 52 秒 (日本時間)
5043e6240 / 7159Dmitry DomanovDecember 20, 2014 01:36:45 UTC 2014 年 12 月 20 日 (土) 10 時 36 分 45 秒 (日本時間)

## 34×10207+119

### c156

name 名前 Dmitry Domanov September 10, 2013 06:34:16 UTC 2013 年 9 月 10 日 (火) 15 時 34 分 16 秒 (日本時間) `190148564099559283645527026560281079228698126445010774492366413037303066107316674333561697941005264169324529018030352568869190596598237671282252859647427549<156>` ```1940877989774008029308897471874767<34> 97970385104784357951693543016729561534379784466979538705361917199070679661741259738563243638567741438553250238832998790547<122>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3447814892 Step 1 took 19849ms Step 2 took 7972ms ********** Factor found in step 2: 1940877989774008029308897471874767 Found probable prime factor of 34 digits: 1940877989774008029308897471874767```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 12, 2013 13:00:00 UTC 2013 年 6 月 12 日 (水) 22 時 0 分 0 秒 (日本時間)

## 34×10209+119

### c179

name 名前 Dmitry Domanov September 10, 2013 06:33:48 UTC 2013 年 9 月 10 日 (火) 15 時 33 分 48 秒 (日本時間) `50090880766222663718866641005250373617405236924309295639035959166955444617975582358533533521157111474070179693137522109293996196514495816394180201467149357129527262342109801929021<179>` `5166429335660814499121546149861<31>` `9695454541587331472174657881590101683051443466384398721564616215351942835516754917562183558145820662455957114061264630433663658103662937707447037561<148>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=480676415 Step 1 took 22757ms Step 2 took 8914ms ********** Factor found in step 2: 5166429335660814499121546149861 Found probable prime factor of 31 digits: 5166429335660814499121546149861```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 12, 2013 13:00:00 UTC 2013 年 6 月 12 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 25, 2013 13:43:21 UTC 2013 年 9 月 25 日 (水) 22 時 43 分 21 秒 (日本時間)
4511e61500 / 3301Dmitry DomanovSeptember 25, 2013 13:43:21 UTC 2013 年 9 月 25 日 (水) 22 時 43 分 21 秒 (日本時間)
5043e6240 / 7159Dmitry DomanovDecember 20, 2014 01:37:16 UTC 2014 年 12 月 20 日 (土) 10 時 37 分 16 秒 (日本時間)

## 34×10211+119

### c195

name 名前 Dmitry Domanov October 28, 2013 05:08:44 UTC 2013 年 10 月 28 日 (月) 14 時 8 分 44 秒 (日本時間) `110712941037749713146881944198937481891030898301706218007240242819682058366024566133725083035751298611405227411028170674353016947350734570552351559985952470080559595919985128098613314523870628311<195>` `970013414532974419447462605926192563756751<42>` `114135474189348091893967656228312810530138921108555137914183490497799411970062147568327547484717790486224811344253993028904496918498922670769847801341561<153>` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2065717253 Step 1 took 124362ms Step 2 took 36383ms ********** Factor found in step 2: 970013414532974419447462605926192563756751 Found probable prime factor of 42 digits: 970013414532974419447462605926192563756751```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 12, 2013 13:00:00 UTC 2013 年 6 月 12 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 25, 2013 13:43:46 UTC 2013 年 9 月 25 日 (水) 22 時 43 分 46 秒 (日本時間)
4511e61500 / 3372Dmitry DomanovOctober 25, 2013 13:46:21 UTC 2013 年 10 月 25 日 (金) 22 時 46 分 21 秒 (日本時間)
5043e6220 / 7159Dmitry DomanovDecember 20, 2014 01:37:42 UTC 2014 年 12 月 20 日 (土) 10 時 37 分 42 秒 (日本時間)

## 34×10212+119

### c164

composite cofactor 合成数の残り `34027846117292226783151595026430032404237130764279387808178758813703114772112711393498746116299307079113399855340009740017886648244178101663665078625079865423592047<164>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 12, 2013 13:00:00 UTC 2013 年 6 月 12 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 25, 2013 13:43:58 UTC 2013 年 9 月 25 日 (水) 22 時 43 分 58 秒 (日本時間)
4511e61500 / 3301Dmitry DomanovSeptember 25, 2013 13:43:58 UTC 2013 年 9 月 25 日 (水) 22 時 43 分 58 秒 (日本時間)
5043e6240 / 7159Dmitry DomanovDecember 21, 2014 02:18:54 UTC 2014 年 12 月 21 日 (日) 11 時 18 分 54 秒 (日本時間)

## 34×10213+119

### c184

composite cofactor 合成数の残り `7302961216503737008503436036120019289179132824968947333249941436413915924143018428719209182050542088032080218573893906719656367348851066477820325686531512774126758641445938100446196313<184>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 12, 2013 13:00:00 UTC 2013 年 6 月 12 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 25, 2013 13:44:13 UTC 2013 年 9 月 25 日 (水) 22 時 44 分 13 秒 (日本時間)
4511e61500 / 3442Dmitry DomanovNovember 14, 2013 05:27:12 UTC 2013 年 11 月 14 日 (木) 14 時 27 分 12 秒 (日本時間)
5043e6200 / 7159Dmitry DomanovDecember 22, 2014 01:08:26 UTC 2014 年 12 月 22 日 (月) 10 時 8 分 26 秒 (日本時間)

## 34×10214+119

### c184

composite cofactor 合成数の残り `2134335779314488344386634581739097084055941659701111933801748112530732284705676620385891555882615125535249311715588778178247820719771533118066649169099016308109418321170381385014844421<184>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 12, 2013 13:00:00 UTC 2013 年 6 月 12 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 25, 2013 13:44:23 UTC 2013 年 9 月 25 日 (水) 22 時 44 分 23 秒 (日本時間)
4511e61500 / 3442Dmitry DomanovNovember 14, 2013 05:27:26 UTC 2013 年 11 月 14 日 (木) 14 時 27 分 26 秒 (日本時間)
5043e6200 / 7159Dmitry DomanovDecember 22, 2014 01:08:50 UTC 2014 年 12 月 22 日 (月) 10 時 8 分 50 秒 (日本時間)

## 34×10215+119

### c215

name 名前 Bob Backstrom November 10, 2017 23:53:59 UTC 2017 年 11 月 11 日 (土) 8 時 53 分 59 秒 (日本時間) `13026819923371647509578544061302681992337164750957854406130268199233716475095785440613026819923371647509578544061302681992337164750957854406130268199233716475095785440613026819923371647509578544061302681992337164751<215>` ```1861846957314107280205069447223615967845607743916526505321511528682976879795019913<82> 6996718968869538047593519524167585253593452667301645627821929973100141013393256992701615844416252146432539514962416593776967381176727<133>``` ```Number: n N=13026819923371647509578544061302681992337164750957854406130268199233716475095785440613026819923371647509578544061302681992337164750957854406130268199233716475095785440613026819923371647509578544061302681992337164751 ( 215 digits) SNFS difficulty: 217 digits. Divisors found: Sat Nov 11 10:42:45 2017 p82 factor: 1861846957314107280205069447223615967845607743916526505321511528682976879795019913 Sat Nov 11 10:42:45 2017 p133 factor: 6996718968869538047593519524167585253593452667301645627821929973100141013393256992701615844416252146432539514962416593776967381176727 Sat Nov 11 10:42:45 2017 elapsed time 05:55:44 (Msieve 1.53 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.067). Factorization parameters were as follows: # # 34x10^215+11 37(214)9 # n: 13026819923371647509578544061302681992337164750957854406130268199233716475095785440613026819923371647509578544061302681992337164750957854406130268199233716475095785440613026819923371647509578544061302681992337164751 m: 1000000000000000000000000000000000000 deg: 6 c6: 17 c0: 55 skew: 1.22 # Murphy_E = 3.269e-12 type: snfs lss: 1 rlim: 29000000 alim: 29000000 lpbr: 29 lpba: 29 mfbr: 58 mfba: 58 rlambda: 2.6 alambda: 2.6 Factor base limits: 29000000/29000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 58/58 Sieved special-q in [100000, 56900000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 12993793 hash collisions in 69626937 relations (58891752 unique) Msieve: matrix is 3736287 x 3736512 (1055.4 MB) Sieving start time: 2017/11/09 19:12:13 Sieving end time : 2017/11/11 04:44:55 Total sieving time: 33hrs 32min 42secs. Total relation processing time: 5hrs 29min 4sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 6min 18sec. Prototype def-par.txt line would be: snfs,217,6,0,0,0,0,0,0,0,0,29000000,29000000,29,29,58,58,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.068000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1) [ 0.000000] Memory: 16297368K/16703460K available (9281K kernel code, 2477K rwdata, 3992K rodata, 2324K init, 2384K bss, 406092K reserved, 0K cma-reserved) [ 0.100635] x86/mm: Memory block size: 128MB [ 0.008000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.86 BogoMIPS (lpj=11977728) [ 0.098232] smpboot: Total of 16 processors activated (95821.82 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 12, 2013 13:00:00 UTC 2013 年 6 月 12 日 (水) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 29, 2013 15:10:07 UTC 2013 年 6 月 30 日 (日) 0 時 10 分 7 秒 (日本時間)
403e61610110Ignacio SantosJune 29, 2013 15:10:07 UTC 2013 年 6 月 30 日 (日) 0 時 10 分 7 秒 (日本時間)
1500Dmitry DomanovSeptember 25, 2013 13:44:35 UTC 2013 年 9 月 25 日 (水) 22 時 44 分 35 秒 (日本時間)
4511e6413332Ignacio SantosJune 29, 2013 15:10:07 UTC 2013 年 6 月 30 日 (日) 0 時 10 分 7 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:14:33 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 33 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:27:47 UTC 2014 年 1 月 6 日 (月) 11 時 27 分 47 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:18 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 18 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:31 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 31 秒 (日本時間)
151KTakahashiAugust 18, 2014 09:51:09 UTC 2014 年 8 月 18 日 (月) 18 時 51 分 9 秒 (日本時間)

## 34×10216+119

### c187

composite cofactor 合成数の残り `2038380448091402983751543248003134634554819824071143090336505396115744113776079491236172650307963384359440520535717287815589353705576138890109229566303668383404516265533470331155403545847<187>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 12, 2013 13:00:00 UTC 2013 年 6 月 12 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 25, 2013 13:44:45 UTC 2013 年 9 月 25 日 (水) 22 時 44 分 45 秒 (日本時間)
4511e61500 / 3266Dmitry DomanovNovember 14, 2013 05:28:33 UTC 2013 年 11 月 14 日 (木) 14 時 28 分 33 秒 (日本時間)
5043e6250 / 7159Dmitry DomanovDecember 12, 2014 13:52:58 UTC 2014 年 12 月 12 日 (金) 22 時 52 分 58 秒 (日本時間)

## 34×10217+119

### c184

composite cofactor 合成数の残り `1741670288444990967435971658867350298769798372481654562551313413678440929496452240935364910728503483911862473972267667200166880417796274555428526922959482705975214403103395095537438843<184>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 12, 2013 13:00:00 UTC 2013 年 6 月 12 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 25, 2013 13:44:57 UTC 2013 年 9 月 25 日 (水) 22 時 44 分 57 秒 (日本時間)
4511e61500 / 3266Dmitry DomanovNovember 14, 2013 05:28:44 UTC 2013 年 11 月 14 日 (木) 14 時 28 分 44 秒 (日本時間)
5043e6250 / 7159Dmitry DomanovDecember 12, 2014 13:52:29 UTC 2014 年 12 月 12 日 (金) 22 時 52 分 29 秒 (日本時間)

## 34×10220+119

### c220

name 名前 Dmitry Domanov September 10, 2013 06:34:48 UTC 2013 年 9 月 10 日 (火) 15 時 34 分 48 秒 (日本時間) `1798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941799<220>` `5643509879456484997168717790319469<34>` `318762939618536006147333658317330224642344009215852672380559206290850562277738022765443291279083702785582440671816821406831820555466835468697532742034882922287350200140937684611334225571<186>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1480786882 Step 1 took 30458ms Step 2 took 11087ms ********** Factor found in step 2: 5643509879456484997168717790319469 Found probable prime factor of 34 digits: 5643509879456484997168717790319469```

### c186

name 名前 Erik Branger January 10, 2019 01:57:43 UTC 2019 年 1 月 10 日 (木) 10 時 57 分 43 秒 (日本時間) `318762939618536006147333658317330224642344009215852672380559206290850562277738022765443291279083702785582440671816821406831820555466835468697532742034882922287350200140937684611334225571<186>` ```18202385621771962068147529690375316190861636607831<50> 17512151771867864508846794257223358611956684049099487848627274865246401479060624828843889767759701511710162453203426101505833971422619541<137>``` ```Number: 37779_220 N = 318762939618536006147333658317330224642344009215852672380559206290850562277738022765443291279083702785582440671816821406831820555466835468697532742034882922287350200140937684611334225571 (186 digits) SNFS difficulty: 222 digits. Divisors found: r1=18202385621771962068147529690375316190861636607831 (pp50) r2=17512151771867864508846794257223358611956684049099487848627274865246401479060624828843889767759701511710162453203426101505833971422619541 (pp137) Version: Msieve v. 1.52 (SVN unknown) Total time: 35.12 hours. Factorization parameters were as follows: n: 318762939618536006147333658317330224642344009215852672380559206290850562277738022765443291279083702785582440671816821406831820555466835468697532742034882922287350200140937684611334225571 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 34 c0: 11 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 536870912 lpbr: 29 lpba: 28 mfbr: 58 mfba: 56 rlambda: 2.8 alambda: 2.8 side: 1 Number of cores used: 6 Number of threads per core: 1 Factor base limits: 536870912/536870912 Large primes per side: 3 Large prime bits: 29/28 Total raw relations: 30648635 Relations: 7067536 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 17.08 hours. Total relation processing time: 0.30 hours. Pruned matrix : 6266978 x 6267203 Matrix solve time: 17.42 hours. time per square root: 0.32 hours. Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000 total time: 35.12 hours. Intel64 Family 6 Model 158 Stepping 10, GenuineIntel Windows-10-10.0.17134-SP0 processors: 12, speed: 3.19GHz```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 12, 2013 13:00:00 UTC 2013 年 6 月 12 日 (水) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 29, 2013 19:15:58 UTC 2013 年 6 月 30 日 (日) 4 時 15 分 58 秒 (日本時間)
403e61610110Ignacio SantosJune 29, 2013 19:15:58 UTC 2013 年 6 月 30 日 (日) 4 時 15 分 58 秒 (日本時間)
1500Dmitry DomanovSeptember 25, 2013 13:45:08 UTC 2013 年 9 月 25 日 (水) 22 時 45 分 8 秒 (日本時間)
4511e61532 / 322832Ignacio SantosJune 29, 2013 19:15:58 UTC 2013 年 6 月 30 日 (日) 4 時 15 分 58 秒 (日本時間)
1500Dmitry DomanovNovember 14, 2013 05:29:00 UTC 2013 年 11 月 14 日 (木) 14 時 29 分 0 秒 (日本時間)
5043e6250 / 7146Dmitry DomanovDecember 12, 2014 13:52:13 UTC 2014 年 12 月 12 日 (金) 22 時 52 分 13 秒 (日本時間)

## 34×10221+119

### c182

composite cofactor 合成数の残り `35178501350207922886531069166646717460579508977149766353468222757843399992954885813238524579343922460004908389395360897525907007178778081345848355426467681961958731071886395198068943<182>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 12, 2013 13:00:00 UTC 2013 年 6 月 12 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 25, 2013 13:45:19 UTC 2013 年 9 月 25 日 (水) 22 時 45 分 19 秒 (日本時間)
4511e61500 / 3266Dmitry DomanovNovember 14, 2013 05:29:12 UTC 2013 年 11 月 14 日 (木) 14 時 29 分 12 秒 (日本時間)
5043e6250 / 7159Dmitry DomanovDecember 12, 2014 13:51:58 UTC 2014 年 12 月 12 日 (金) 22 時 51 分 58 秒 (日本時間)

## 34×10222+119

### c187

composite cofactor 合成数の残り `5612567547359807456722013958854268716945953072731554424474586849953061272983059546023113791689874535213891852234914940854060484767165635998543004462445284476521451436197387572618280206423<187>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 12, 2013 13:00:00 UTC 2013 年 6 月 12 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 25, 2013 13:45:29 UTC 2013 年 9 月 25 日 (水) 22 時 45 分 29 秒 (日本時間)
4511e61500 / 3266Dmitry DomanovNovember 14, 2013 05:29:25 UTC 2013 年 11 月 14 日 (木) 14 時 29 分 25 秒 (日本時間)
5043e6250 / 7159Dmitry DomanovDecember 12, 2014 13:51:44 UTC 2014 年 12 月 12 日 (金) 22 時 51 分 44 秒 (日本時間)

## 34×10223+119

### c192

composite cofactor 合成数の残り `356041442012814840804073392384765371292109350595313217201456434341543460633206064045714074199689105805752981515590465875926540533014009224873948429326805516091204447535390635825839776550951869<192>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 12, 2013 13:00:00 UTC 2013 年 6 月 12 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 25, 2013 13:45:39 UTC 2013 年 9 月 25 日 (水) 22 時 45 分 39 秒 (日本時間)
4511e61500 / 3266Dmitry DomanovNovember 14, 2013 05:29:37 UTC 2013 年 11 月 14 日 (木) 14 時 29 分 37 秒 (日本時間)
5043e6250 / 7159Dmitry DomanovDecember 12, 2014 13:51:29 UTC 2014 年 12 月 12 日 (金) 22 時 51 分 29 秒 (日本時間)

## 34×10224+119

### c201

name 名前 Dmitry Domanov October 28, 2013 05:08:04 UTC 2013 年 10 月 28 日 (月) 14 時 8 分 4 秒 (日本時間) `209339635885861783549639548413113352465653467631336942507503484537439882360226674752337059889239664178424326769501953822071005967395066099793381929712874289291941602554417447750311630537322504062298319<201>` `115740605348692344292754212451678892147511<42>` `1808696569844119412512404751811102129090606697625765087923485803100707041046647162709283563290415732277261818290343307314147844355410944875327154433110627615529<160>` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=778667464 Step 1 took 101686ms Step 2 took 32233ms ********** Factor found in step 2: 115740605348692344292754212451678892147511 Found probable prime factor of 42 digits: 115740605348692344292754212451678892147511```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 12, 2013 13:00:00 UTC 2013 年 6 月 12 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 25, 2013 13:45:49 UTC 2013 年 9 月 25 日 (水) 22 時 45 分 49 秒 (日本時間)
4511e61500 / 3442Dmitry DomanovOctober 25, 2013 13:47:05 UTC 2013 年 10 月 25 日 (金) 22 時 47 分 5 秒 (日本時間)
5043e6200 / 7159Dmitry DomanovNovember 20, 2014 00:50:29 UTC 2014 年 11 月 20 日 (木) 9 時 50 分 29 秒 (日本時間)

## 34×10225+119

### c178

composite cofactor 合成数の残り `2139557142381635539113516720683180951730291828913802472084559554528562437828616767488084155131399552581873835361874253228788014605060484129347298956436995414287834226727540239887<178>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 12, 2013 13:00:00 UTC 2013 年 6 月 12 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 25, 2013 13:46:00 UTC 2013 年 9 月 25 日 (水) 22 時 46 分 0 秒 (日本時間)
4511e61500 / 3442Dmitry DomanovNovember 14, 2013 05:27:45 UTC 2013 年 11 月 14 日 (木) 14 時 27 分 45 秒 (日本時間)
5043e6200 / 7159Dmitry DomanovNovember 20, 2014 00:50:14 UTC 2014 年 11 月 20 日 (木) 9 時 50 分 14 秒 (日本時間)

## 34×10226+119

### c199

composite cofactor 合成数の残り `1693309635181657750725568149896490306991074720564216460128395768368390959199369190558127371094132023121716925153874401625381472163277872984646761474859271441924393487536007208620958620630438631600733<199>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 12, 2013 13:00:00 UTC 2013 年 6 月 12 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 25, 2013 13:46:10 UTC 2013 年 9 月 25 日 (水) 22 時 46 分 10 秒 (日本時間)
4511e61500 / 3266Dmitry DomanovOctober 25, 2013 13:47:20 UTC 2013 年 10 月 25 日 (金) 22 時 47 分 20 秒 (日本時間)
5043e6250 / 7159Dmitry DomanovDecember 12, 2014 13:51:03 UTC 2014 年 12 月 12 日 (金) 22 時 51 分 3 秒 (日本時間)

## 34×10227+119

### c221

composite cofactor 合成数の残り `80965491578767314202473595783926821102626641995052579823699547157624261966800862206282498268350548859114067494595970171265113667572694330812949020625935166311097185046559563133068285652636275697881459328687962067381434789<221>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 12, 2013 13:00:00 UTC 2013 年 6 月 12 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 25, 2013 13:46:19 UTC 2013 年 9 月 25 日 (水) 22 時 46 分 19 秒 (日本時間)
4511e61500 / 3266Dmitry DomanovNovember 14, 2013 05:28:09 UTC 2013 年 11 月 14 日 (木) 14 時 28 分 9 秒 (日本時間)
5043e6250 / 7159Dmitry DomanovDecember 12, 2014 13:50:48 UTC 2014 年 12 月 12 日 (金) 22 時 50 分 48 秒 (日本時間)

## 34×10228+119

### c167

composite cofactor 合成数の残り `78388990243343712371000937935578918103369675413296605953316454356310315884706928508966206232969538839686991645049561145769578607707795700777420869992452841581160096283<167>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 12, 2013 13:00:00 UTC 2013 年 6 月 12 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 25, 2013 13:46:32 UTC 2013 年 9 月 25 日 (水) 22 時 46 分 32 秒 (日本時間)
4511e61500 / 3442Dmitry DomanovSeptember 25, 2013 13:46:32 UTC 2013 年 9 月 25 日 (水) 22 時 46 分 32 秒 (日本時間)
5043e6200 / 7159Dmitry DomanovNovember 20, 2014 00:49:55 UTC 2014 年 11 月 20 日 (木) 9 時 49 分 55 秒 (日本時間)

## 34×10230+119

### c206

name 名前 Dmitry Domanov September 10, 2013 06:33:14 UTC 2013 年 9 月 10 日 (火) 15 時 33 分 14 秒 (日本時間) `21357575769904257461225672879704811658379510468161701828577425502416965703680727401298299374059949067449818848270445578343557640726177981831252397139091227533926495336057300618767052047295341710505234701439<206>` `25555121427776515814541371634157<32>` `835745423095120240739435337651503402174821256846001511374854223444515744790206694530409247084648134544315941878110357411501966633511757226258395861300528625662801586244905627<174>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=911560590 Step 1 took 26721ms Step 2 took 10262ms ********** Factor found in step 2: 25555121427776515814541371634157 Found probable prime factor of 32 digits: 25555121427776515814541371634157```

### c174

name 名前 Dmitry Domanov October 29, 2013 07:05:05 UTC 2013 年 10 月 29 日 (火) 16 時 5 分 5 秒 (日本時間) `835745423095120240739435337651503402174821256846001511374854223444515744790206694530409247084648134544315941878110357411501966633511757226258395861300528625662801586244905627<174>` `588410603811731673318185922318022357583<39>` `1420343919163166566102494147345835633167938236781060439722425700727901699522738475348870431723326170121138607112728411754372603947002869<136>` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3284060469 Step 1 took 90737ms Step 2 took 26882ms ********** Factor found in step 2: 588410603811731673318185922318022357583 Found probable prime factor of 39 digits: 588410603811731673318185922318022357583```

### c136

name 名前 Youcef Lemsafer November 25, 2013 07:32:30 UTC 2013 年 11 月 25 日 (月) 16 時 32 分 30 秒 (日本時間) `1420343919163166566102494147345835633167938236781060439722425700727901699522738475348870431723326170121138607112728411754372603947002869<136>` ```55052187904392295887912740385878453627696847932573043337<56> 25799954065946315168162472983932245704503625716108872721411938540818056338836237<80>``` ``` n: 1420343919163166566102494147345835633167938236781060439722425700727901699522738475348870431723326170121138607112728411754372603947002869 # size 4.709e-013, alpha -6.973, combined = 4.016e-011 rroots = 5 skew: 1124762.69 Y0: -162332190448904598069528004 Y1: 105098975080441 c0: 2637989736725786172121600305210285 c1: 26559279892304124876257079212 c2: 24369478944421957691170 c3: -47700531898515724 c4: -12247413063 c5: 12600 type: gnfs rlim: 13200000 alim: 13200000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.6 alambda: 2.6 < 2013-11-24 08:19:19 .. 2013-11-25 01:25:34 got 22038574 relations> Mon Nov 25 01:26:36 2013 Msieve v. 1.51 (SVN 845) Mon Nov 25 01:26:36 2013 random seeds: 8fb5cd00 76867627 Mon Nov 25 01:26:36 2013 factoring 1420343919163166566102494147345835633167938236781060439722425700727901699522738475348870431723326170121138607112728411754372603947002869 (136 digits) Mon Nov 25 01:26:36 2013 searching for 15-digit factors Mon Nov 25 01:26:37 2013 commencing number field sieve (136-digit input) Mon Nov 25 01:26:37 2013 R0: -162332190448904598069528004 Mon Nov 25 01:26:37 2013 R1: 105098975080441 Mon Nov 25 01:26:37 2013 A0: 2637989736725786172121600305210285 Mon Nov 25 01:26:37 2013 A1: 26559279892304124876257079212 Mon Nov 25 01:26:37 2013 A2: 24369478944421957691170 Mon Nov 25 01:26:37 2013 A3: -47700531898515724 Mon Nov 25 01:26:37 2013 A4: -12247413063 Mon Nov 25 01:26:37 2013 A5: 12600 Mon Nov 25 01:26:37 2013 skew 1124762.69, size 4.709e-013, alpha -6.973, combined = 4.016e-011 rroots = 5 Mon Nov 25 01:26:37 2013 Mon Nov 25 01:26:37 2013 commencing relation filtering Mon Nov 25 01:26:37 2013 estimated available RAM is 4096.0 MB Mon Nov 25 01:26:37 2013 commencing duplicate removal, pass 1 Mon Nov 25 01:28:59 2013 found 2946084 hash collisions in 22159605 relations Mon Nov 25 01:29:49 2013 added 190 free relations Mon Nov 25 01:29:49 2013 commencing duplicate removal, pass 2 Mon Nov 25 01:30:06 2013 found 2439506 duplicates and 19720289 unique relations Mon Nov 25 01:30:06 2013 memory use: 98.6 MB Mon Nov 25 01:30:06 2013 reading ideals above 16711680 Mon Nov 25 01:30:12 2013 commencing singleton removal, initial pass Mon Nov 25 01:32:43 2013 memory use: 376.5 MB Mon Nov 25 01:32:43 2013 reading all ideals from disk Mon Nov 25 01:32:43 2013 memory use: 327.7 MB Mon Nov 25 01:32:44 2013 commencing in-memory singleton removal Mon Nov 25 01:32:45 2013 begin with 19720289 relations and 19259869 unique ideals Mon Nov 25 01:32:51 2013 reduce to 8100608 relations and 5731108 ideals in 18 passes Mon Nov 25 01:32:51 2013 max relations containing the same ideal: 32 Mon Nov 25 01:32:52 2013 reading ideals above 100000 Mon Nov 25 01:32:52 2013 commencing singleton removal, initial pass Mon Nov 25 01:34:16 2013 memory use: 188.3 MB Mon Nov 25 01:34:16 2013 reading all ideals from disk Mon Nov 25 01:34:16 2013 memory use: 310.7 MB Mon Nov 25 01:34:17 2013 keeping 7830604 ideals with weight <= 200, target excess is 43311 Mon Nov 25 01:34:17 2013 commencing in-memory singleton removal Mon Nov 25 01:34:18 2013 begin with 8100798 relations and 7830604 unique ideals Mon Nov 25 01:34:26 2013 reduce to 8025290 relations and 7754045 ideals in 14 passes Mon Nov 25 01:34:26 2013 max relations containing the same ideal: 200 Mon Nov 25 01:34:30 2013 removing 1028195 relations and 917693 ideals in 110502 cliques Mon Nov 25 01:34:31 2013 commencing in-memory singleton removal Mon Nov 25 01:34:31 2013 begin with 6997095 relations and 7754045 unique ideals Mon Nov 25 01:34:36 2013 reduce to 6890536 relations and 6727777 ideals in 10 passes Mon Nov 25 01:34:36 2013 max relations containing the same ideal: 186 Mon Nov 25 01:34:39 2013 removing 758634 relations and 648132 ideals in 110502 cliques Mon Nov 25 01:34:40 2013 commencing in-memory singleton removal Mon Nov 25 01:34:40 2013 begin with 6131902 relations and 6727777 unique ideals Mon Nov 25 01:34:44 2013 reduce to 6065389 relations and 6011971 ideals in 9 passes Mon Nov 25 01:34:44 2013 max relations containing the same ideal: 174 Mon Nov 25 01:34:49 2013 relations with 0 large ideals: 141 Mon Nov 25 01:34:49 2013 relations with 1 large ideals: 120 Mon Nov 25 01:34:49 2013 relations with 2 large ideals: 1544 Mon Nov 25 01:34:49 2013 relations with 3 large ideals: 19255 Mon Nov 25 01:34:49 2013 relations with 4 large ideals: 130355 Mon Nov 25 01:34:49 2013 relations with 5 large ideals: 518721 Mon Nov 25 01:34:49 2013 relations with 6 large ideals: 1241406 Mon Nov 25 01:34:49 2013 relations with 7+ large ideals: 4153847 Mon Nov 25 01:34:49 2013 commencing 2-way merge Mon Nov 25 01:34:53 2013 reduce to 3544624 relation sets and 3491206 unique ideals Mon Nov 25 01:34:53 2013 commencing full merge Mon Nov 25 01:36:01 2013 memory use: 373.3 MB Mon Nov 25 01:36:02 2013 found 1846945 cycles, need 1839406 Mon Nov 25 01:36:02 2013 weight of 1839406 cycles is about 128760377 (70.00/cycle) Mon Nov 25 01:36:02 2013 distribution of cycle lengths: Mon Nov 25 01:36:02 2013 1 relations: 268110 Mon Nov 25 01:36:02 2013 2 relations: 235171 Mon Nov 25 01:36:02 2013 3 relations: 215669 Mon Nov 25 01:36:02 2013 4 relations: 184810 Mon Nov 25 01:36:02 2013 5 relations: 163005 Mon Nov 25 01:36:02 2013 6 relations: 134610 Mon Nov 25 01:36:02 2013 7 relations: 117225 Mon Nov 25 01:36:02 2013 8 relations: 99972 Mon Nov 25 01:36:02 2013 9 relations: 83883 Mon Nov 25 01:36:02 2013 10+ relations: 336951 Mon Nov 25 01:36:02 2013 heaviest cycle: 25 relations Mon Nov 25 01:36:02 2013 commencing cycle optimization Mon Nov 25 01:36:05 2013 start with 10538088 relations Mon Nov 25 01:36:29 2013 pruned 224599 relations Mon Nov 25 01:36:29 2013 memory use: 281.2 MB Mon Nov 25 01:36:29 2013 distribution of cycle lengths: Mon Nov 25 01:36:29 2013 1 relations: 268110 Mon Nov 25 01:36:29 2013 2 relations: 239971 Mon Nov 25 01:36:29 2013 3 relations: 222449 Mon Nov 25 01:36:29 2013 4 relations: 188176 Mon Nov 25 01:36:29 2013 5 relations: 165495 Mon Nov 25 01:36:29 2013 6 relations: 135767 Mon Nov 25 01:36:29 2013 7 relations: 117757 Mon Nov 25 01:36:29 2013 8 relations: 99490 Mon Nov 25 01:36:29 2013 9 relations: 83012 Mon Nov 25 01:36:29 2013 10+ relations: 319179 Mon Nov 25 01:36:29 2013 heaviest cycle: 25 relations Mon Nov 25 01:36:31 2013 RelProcTime: 594 Mon Nov 25 01:36:31 2013 elapsed time 00:09:55 Mon Nov 25 01:37:48 2013 .... Mon Nov 25 01:37:50 2013 commencing linear algebra Mon Nov 25 01:37:50 2013 read 1839406 cycles Mon Nov 25 01:37:54 2013 cycles contain 5979652 unique relations Mon Nov 25 01:38:34 2013 read 5979652 relations Mon Nov 25 01:38:44 2013 using 20 quadratic characters above 268434264 Mon Nov 25 01:39:16 2013 building initial matrix Mon Nov 25 01:40:49 2013 memory use: 705.3 MB Mon Nov 25 01:40:51 2013 read 1839406 cycles Mon Nov 25 01:40:52 2013 matrix is 1839227 x 1839406 (530.9 MB) with weight 175888200 (95.62/col) Mon Nov 25 01:40:52 2013 sparse part has weight 124464682 (67.67/col) Mon Nov 25 01:41:12 2013 filtering completed in 2 passes Mon Nov 25 01:41:13 2013 matrix is 1838166 x 1838345 (530.9 MB) with weight 175846720 (95.65/col) Mon Nov 25 01:41:13 2013 sparse part has weight 124455538 (67.70/col) Mon Nov 25 01:41:18 2013 matrix starts at (0, 0) Mon Nov 25 01:41:19 2013 matrix is 1838166 x 1838345 (530.9 MB) with weight 175846720 (95.65/col) Mon Nov 25 01:41:19 2013 sparse part has weight 124455538 (67.70/col) Mon Nov 25 01:41:19 2013 saving the first 48 matrix rows for later Mon Nov 25 01:41:20 2013 matrix includes 64 packed rows Mon Nov 25 01:41:21 2013 matrix is 1838118 x 1838345 (510.4 MB) with weight 140107565 (76.21/col) Mon Nov 25 01:41:21 2013 sparse part has weight 122773562 (66.78/col) Mon Nov 25 01:41:21 2013 using block size 65536 for processor cache size 15360 kB Mon Nov 25 01:41:34 2013 commencing Lanczos iteration (4 threads) Mon Nov 25 01:41:34 2013 memory use: 465.4 MB Mon Nov 25 01:41:44 2013 linear algebra at 0.1%, ETA 3h22m Mon Nov 25 01:41:47 2013 checkpointing every 560000 dimensions Mon Nov 25 04:48:52 2013 lanczos halted after 29073 iterations (dim = 1838118) Mon Nov 25 04:48:55 2013 recovered 31 nontrivial dependencies Mon Nov 25 04:48:55 2013 BLanczosTime: 11465 Mon Nov 25 04:48:55 2013 Mon Nov 25 04:48:55 2013 commencing square root phase Mon Nov 25 04:48:55 2013 reading relations for dependency 1 Mon Nov 25 04:48:56 2013 read 919164 cycles Mon Nov 25 04:48:58 2013 cycles contain 2991216 unique relations Mon Nov 25 04:49:21 2013 read 2991216 relations Mon Nov 25 04:49:36 2013 multiplying 2991216 relations Mon Nov 25 04:57:38 2013 multiply complete, coefficients have about 138.12 million bits Mon Nov 25 04:57:40 2013 initial square root is modulo 90599 Mon Nov 25 05:07:26 2013 sqrtTime: 1111 Mon Nov 25 05:07:26 2013 prp56 factor: 55052187904392295887912740385878453627696847932573043337 Mon Nov 25 05:07:26 2013 prp80 factor: 25799954065946315168162472983932245704503625716108872721411938540818056338836237 Mon Nov 25 05:07:26 2013 elapsed time 03:29:38``` `GGNFS (SVN 440), msieve 1.52dev (SVN 942) for polynomial selection, msieve 1.51 (SVN 845)`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 12, 2013 13:00:00 UTC 2013 年 6 月 12 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 25, 2013 13:49:23 UTC 2013 年 9 月 25 日 (水) 22 時 49 分 23 秒 (日本時間)
4511e63200 / 41431500Dmitry DomanovOctober 28, 2013 15:43:01 UTC 2013 年 10 月 29 日 (火) 0 時 43 分 1 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:45:28 UTC 2013 年 11 月 8 日 (金) 10 時 45 分 28 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:08:36 UTC 2013 年 11 月 9 日 (土) 2 時 8 分 36 秒 (日本時間)

## 34×10231+119

### c139

name 名前 Rich Dickerson June 13, 2013 00:27:19 UTC 2013 年 6 月 13 日 (木) 9 時 27 分 19 秒 (日本時間) `9346727206510097778137702401041568877284107175870876599471157170664687033729753790141201151382149427142571349698754260676141048108453237709<139>` `52697557545133685096502794940511<32>` `177365472745201528254197123224184731581067489913590758272927892428288023730894988897873264657394648580488019<108>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2064099589 Step 1 took 6615ms Step 2 took 2582ms ********** Factor found in step 2: 52697557545133685096502794940511 Found probable prime factor of 32 digits: 52697557545133685096502794940511 Composite cofactor 177365472745201528254197123224184731581067489913590758272927892428288023730894988897873264657394648580488019 has 108 digits``` `GMP-ECM 6.4.4 [configured with GMP 5.1.1,] [ECM]` `Core-i5, 3.4 GHz, Linux (OpenSUSE)`

### c108

name 名前 Erik Branger June 14, 2013 10:39:05 UTC 2013 年 6 月 14 日 (金) 19 時 39 分 5 秒 (日本時間) `177365472745201528254197123224184731581067489913590758272927892428288023730894988897873264657394648580488019<108>` ```714563599352418866651290816865656299813969622751<48> 248215096467187723722111971847609270065265379506248679968269<60>``` ```Number: 37779_231 N = 177365472745201528254197123224184731581067489913590758272927892428288023730894988897873264657394648580488019 (108 digits) Divisors found: r1=714563599352418866651290816865656299813969622751 (pp48) r2=248215096467187723722111971847609270065265379506248679968269 (pp60) Version: Msieve v. 1.51 (SVN 845) Total time: 5.95 hours. Factorization parameters were as follows: n: 177365472745201528254197123224184731581067489913590758272927892428288023730894988897873264657394648580488019 Y0: -131123347663933346658747663 Y1: 53990785830079 c0: 64795164040116484373579157713060 c1: 1905980114319259429740212 c2: -480419998112429579 c3: -7662142418 c4: 600 skew: 22899801.55 type: gnfs Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 26/26 Sieved algebraic special-q in [0, 0) Total raw relations: 5086153 Relations: 660512 relations Pruned matrix : 386845 x 387074 Polynomial selection time: 0.00 hours. Total sieving time: 5.80 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.09 hours. time per square root: 0.03 hours. Prototype def-par.txt line would be: gnfs,107,4,59,2000,0.0006,0.25,200,15,15000,2000,2500000,2500000,26,26,49,49,2.6,2.6,150000 total time: 5.95 hours. Intel64 Family 6 Model 58 Stepping 9, GenuineIntel Windows-7-6.1.7601-SP1 processors: 8, speed: 2.29GHz``` `GGNFs, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 12, 2013 13:00:00 UTC 2013 年 6 月 12 日 (水) 22 時 0 分 0 秒 (日本時間)

## 34×10233+119

### c212

composite cofactor 合成数の残り `56918508422369558250591188548799155435148201468308796274212923560544288136858405103378746030499910817887795315485061252123849193699837368213442177021954367141897152400751880786149095978805367712926145974826684971<212>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 12, 2013 13:00:00 UTC 2013 年 6 月 12 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 25, 2013 13:49:32 UTC 2013 年 9 月 25 日 (水) 22 時 49 分 32 秒 (日本時間)
4511e61500 / 3266Dmitry DomanovNovember 21, 2013 09:22:26 UTC 2013 年 11 月 21 日 (木) 18 時 22 分 26 秒 (日本時間)
5043e6250 / 7159Dmitry DomanovDecember 12, 2014 13:50:23 UTC 2014 年 12 月 12 日 (金) 22 時 50 分 23 秒 (日本時間)

## 34×10234+119

### c228

composite cofactor 合成数の残り `498661701990761646643712681863206036587366402846759924324860088359626958220670621669957320571583055985761272427438379090164444989452351679053350011513952033760218549930783555785585265379764545730849370330335657844857163268749163<228>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 12, 2013 13:00:00 UTC 2013 年 6 月 12 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 25, 2013 13:49:42 UTC 2013 年 9 月 25 日 (水) 22 時 49 分 42 秒 (日本時間)
4511e61500 / 3266Dmitry DomanovNovember 21, 2013 09:22:37 UTC 2013 年 11 月 21 日 (木) 18 時 22 分 37 秒 (日本時間)
5043e6250 / 7159Dmitry DomanovDecember 12, 2014 13:50:10 UTC 2014 年 12 月 12 日 (金) 22 時 50 分 10 秒 (日本時間)

## 34×10235+119

### c162

name 名前 Ignacio Santos June 28, 2013 22:05:24 UTC 2013 年 6 月 29 日 (土) 7 時 5 分 24 秒 (日本時間) `113880419899169735297797667578225831336459287859907732711346851564375833639053975696214144161329970542792900319102748570238261275630156201985650569531871114505839<162>` `187622354914911863424387180435492606731<39>` `606966157901681570077888240832120743594980143213927248445230597763501877965976078088188314304587748610329073053630484279469<123>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2352749429 Step 1 took 6640ms Step 2 took 4625ms ********** Factor found in step 2: 187622354914911863424387180435492606731 Found probable prime factor of 39 digits: 187622354914911863424387180435492606731 Composite cofactor 606966157901681570077888240832120743594980143213927248445230597763501877965976078088188314304587748610329073053630484279469 has 123 digits``` `GMP-ECM 7.0`

### c123

name 名前 Dmitry Domanov July 1, 2013 07:36:44 UTC 2013 年 7 月 1 日 (月) 16 時 36 分 44 秒 (日本時間) `606966157901681570077888240832120743594980143213927248445230597763501877965976078088188314304587748610329073053630484279469<123>` ```17835755016932614767634635960622517398276470143<47> 34030864256963052890391573480255930586446393664859502945960779974808229603283<77>``` ```N=606966157901681570077888240832120743594980143213927248445230597763501877965976078088188314304587748610329073053630484279469 ( 123 digits) Divisors found: r1=17835755016932614767634635960622517398276470143 (pp47) r2=34030864256963052890391573480255930586446393664859502945960779974808229603283 (pp77) Version: Msieve v. 1.50 (SVN unknown) Total time: 124.14 hours. Scaled time: 120.91 units (timescale=0.974). Factorization parameters were as follows: n: 606966157901681570077888240832120743594980143213927248445230597763501877965976078088188314304587748610329073053630484279469 skew: 249091.58 c0: 307983273138302530892276689355 c1: 15652737644819019747170620 c2: 183206073457959599869 c3: -122152495634572 c4: -2141757504 c5: 2952 Y0: -728802182012593140088038 Y1: 456004313611 rlim: 5300000 alim: 5300000 lpbr: 27 lpba: 27 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 type: gnfs qintsize: 400000 Factor base limits: 5300000/5300000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 54/54 Sieved algebraic special-q in [2650000, 6650001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 539457 x 539682 Total sieving time: 123.19 hours. Total relation processing time: 0.37 hours. Matrix solve time: 0.46 hours. Time per square root: 0.11 hours. Prototype def-par.txt line would be: gnfs,122,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5300000,5300000,27,27,54,54,2.5,2.5,100000 total time: 124.14 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 12, 2013 13:00:00 UTC 2013 年 6 月 12 日 (水) 22 時 0 分 0 秒 (日本時間)

## 34×10236+119

### c188

composite cofactor 合成数の残り `12287178693612599804844755558891622285311501746987932994171823184549601137902499538296204449795390216214375903793898424030408465562933200884784797180079985760201443798257188690279520304691<188>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 12, 2013 13:00:00 UTC 2013 年 6 月 12 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 25, 2013 13:49:53 UTC 2013 年 9 月 25 日 (水) 22 時 49 分 53 秒 (日本時間)
4511e61500 / 3442Dmitry DomanovNovember 21, 2013 09:22:49 UTC 2013 年 11 月 21 日 (木) 18 時 22 分 49 秒 (日本時間)
5043e6200 / 7159Dmitry DomanovNovember 20, 2014 00:49:06 UTC 2014 年 11 月 20 日 (木) 9 時 49 分 6 秒 (日本時間)

## 34×10237+119

### c183

composite cofactor 合成数の残り `789358756001636634315926166044694126161998406109063813874164194220860078724639747390318518999344588384710066500947292552150015705341736860480548538691794589581975137463168153198842367<183>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 12, 2013 13:00:00 UTC 2013 年 6 月 12 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 25, 2013 13:50:02 UTC 2013 年 9 月 25 日 (水) 22 時 50 分 2 秒 (日本時間)
4511e61500 / 3442Dmitry DomanovNovember 21, 2013 09:23:01 UTC 2013 年 11 月 21 日 (木) 18 時 23 分 1 秒 (日本時間)
5043e6200 / 7159Dmitry DomanovNovember 20, 2014 00:48:43 UTC 2014 年 11 月 20 日 (木) 9 時 48 分 43 秒 (日本時間)

## 34×10238+119

### c230

composite cofactor 合成数の残り `82866744027208024127990090260502453206710101743376420143053255049831929925676020298900155600079515905369609004131162858034215712242983239499821607276303980427105137850999066776907805896396771151036128026388819094983046267248273149<230>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 12, 2013 13:00:00 UTC 2013 年 6 月 12 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 25, 2013 13:50:12 UTC 2013 年 9 月 25 日 (水) 22 時 50 分 12 秒 (日本時間)
4511e61500 / 3266Dmitry DomanovNovember 21, 2013 09:23:13 UTC 2013 年 11 月 21 日 (木) 18 時 23 分 13 秒 (日本時間)
5043e6250 / 7159Dmitry DomanovDecember 12, 2014 13:49:45 UTC 2014 年 12 月 12 日 (金) 22 時 49 分 45 秒 (日本時間)

## 34×10239+119

### c237

name 名前 Dmitry Domanov September 10, 2013 06:32:43 UTC 2013 年 9 月 10 日 (火) 15 時 32 分 43 秒 (日本時間) `286412265184061999831522196950551764804986942970263667761772386488080195434251537359952826215146154494145396344031673826973296268216662454721590430460786791340240923258360710976328868671552522955100665487322045320529020301575267458512341<237>` ```28922031404682552858638123278759<32> 11879655275194836157756144711003417<35>``` `833602445960424202760511760626746332437765421857044365735511846455486052095935392481645619847123583459366479935157238520247699267303963858013799375364500266853749987681947<171>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3197716312 Step 1 took 34771ms Step 2 took 12228ms ********** Factor found in step 2: 11879655275194836157756144711003417 Found probable prime factor of 35 digits: 11879655275194836157756144711003417 Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=943622046 Step 1 took 26605ms Step 2 took 10325ms ********** Factor found in step 2: 28922031404682552858638123278759 Found probable prime factor of 32 digits: 28922031404682552858638123278759```

### c171

name 名前 Dmitry Domanov October 3, 2013 05:32:34 UTC 2013 年 10 月 3 日 (木) 14 時 32 分 34 秒 (日本時間) `833602445960424202760511760626746332437765421857044365735511846455486052095935392481645619847123583459366479935157238520247699267303963858013799375364500266853749987681947<171>` ```168924501084842630664001326661839802604484637<45> 4934763403810474443116985382910585450736511657416184238197206442190050641045746048814743394080527932399775635203443702906948631<127>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2815466948 Step 1 took 68201ms Step 2 took 26222ms ********** Factor found in step 2: 168924501084842630664001326661839802604484637 Found probable prime factor of 45 digits: 168924501084842630664001326661839802604484637```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 12, 2013 13:00:00 UTC 2013 年 6 月 12 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 25, 2013 13:50:22 UTC 2013 年 9 月 25 日 (水) 22 時 50 分 22 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovOctober 2, 2013 13:31:03 UTC 2013 年 10 月 2 日 (水) 22 時 31 分 3 秒 (日本時間)

## 34×10241+119

### c229

name 名前 Dmitry Domanov November 26, 2013 06:15:03 UTC 2013 年 11 月 26 日 (火) 15 時 15 分 3 秒 (日本時間) `1758832105857621922256795530394476054232456352391241018139539555263867641025363383843620157485641580267044547586474495923214320714413353469943100025245431760994869403832655391613486620447434863423688111744204782359823718983328151<229>` `662061845787003133371710489365597217335027<42>` `2656597894969874082997207583943014148141324804990760065378033888981103878938509574630805009060876210824906778457273064434123196359020693403095221214478106467101189622193269550926489406413<187>` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3237269486 Step 1 took 114497ms ********** Factor found in step 1: 662061845787003133371710489365597217335027 Found probable prime factor of 42 digits: 662061845787003133371710489365597217335027```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 12, 2013 13:00:00 UTC 2013 年 6 月 12 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 25, 2013 13:50:31 UTC 2013 年 9 月 25 日 (水) 22 時 50 分 31 秒 (日本時間)
4511e61500 / 3442Dmitry DomanovNovember 21, 2013 09:23:28 UTC 2013 年 11 月 21 日 (木) 18 時 23 分 28 秒 (日本時間)
5043e6200 / 7159Dmitry DomanovNovember 20, 2014 00:48:23 UTC 2014 年 11 月 20 日 (木) 9 時 48 分 23 秒 (日本時間)

## 34×10243+119

### c163

composite cofactor 合成数の残り `2670242248774383350501571361435590749145369830819266154521504919478609406441675029356804467645772352759398860395760137755716482172980384335198120184903039627104183<163>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 12, 2013 13:00:00 UTC 2013 年 6 月 12 日 (水) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 29, 2013 17:28:28 UTC 2013 年 6 月 30 日 (日) 2 時 28 分 28 秒 (日本時間)
403e61610110Ignacio SantosJune 29, 2013 17:28:28 UTC 2013 年 6 月 30 日 (日) 2 時 28 分 28 秒 (日本時間)
1500Dmitry DomanovSeptember 25, 2013 13:50:44 UTC 2013 年 9 月 25 日 (水) 22 時 50 分 44 秒 (日本時間)
4511e6278232Ignacio SantosJune 29, 2013 17:28:28 UTC 2013 年 6 月 30 日 (日) 2 時 28 分 28 秒 (日本時間)
1500Dmitry DomanovOctober 2, 2013 13:31:20 UTC 2013 年 10 月 2 日 (水) 22 時 31 分 20 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:13:06 UTC 2013 年 11 月 9 日 (土) 2 時 13 分 6 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:46 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 46 秒 (日本時間)
5043e6400 / 6866Dmitry DomanovMarch 14, 2014 10:52:31 UTC 2014 年 3 月 14 日 (金) 19 時 52 分 31 秒 (日本時間)

## 34×10244+119

### c173

composite cofactor 合成数の残り `81374127089797431143801043131152101929377813824033479334467661289275947790496062875537042422418103800840246085402571507336986522104524797153556063247200650860405171177201257<173>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 12, 2013 13:00:00 UTC 2013 年 6 月 12 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 25, 2013 13:50:54 UTC 2013 年 9 月 25 日 (水) 22 時 50 分 54 秒 (日本時間)
4511e61500 / 3442Dmitry DomanovOctober 2, 2013 13:31:51 UTC 2013 年 10 月 2 日 (水) 22 時 31 分 51 秒 (日本時間)
5043e6200 / 7159Dmitry DomanovNovember 20, 2014 00:47:47 UTC 2014 年 11 月 20 日 (木) 9 時 47 分 47 秒 (日本時間)

## 34×10245+119

### c229

name 名前 Dmitry Domanov September 11, 2013 10:40:04 UTC 2013 年 9 月 11 日 (水) 19 時 40 分 4 秒 (日本時間) `3786975092246270670466414910249243459450626559135248300802312171358806316313981577265470945653472068021751633218936654756586080616790178603776967259708246049981255777841294194094951521481506932607122007726327870771684006466954993<229>` `247412999402101197113459104746610622205313<42>` `15306289893408523700734120165945519847004502372240932650395598059913878061702772677667233858127089244453789478201827560306333162647675413544563487431685025631285953193248893509133518549361<188>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3624857713 Step 1 took 30490ms Step 2 took 11417ms ********** Factor found in step 2: 247412999402101197113459104746610622205313 Found probable prime factor of 42 digits: 247412999402101197113459104746610622205313```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 12, 2013 13:00:00 UTC 2013 年 6 月 12 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 25, 2013 13:51:03 UTC 2013 年 9 月 25 日 (水) 22 時 51 分 3 秒 (日本時間)
4511e61500 / 3442Dmitry DomanovNovember 14, 2013 05:30:09 UTC 2013 年 11 月 14 日 (木) 14 時 30 分 9 秒 (日本時間)
5043e6200 / 7159Dmitry DomanovNovember 20, 2014 00:47:30 UTC 2014 年 11 月 20 日 (木) 9 時 47 分 30 秒 (日本時間)

## 34×10246+119

### c239

composite cofactor 合成数の残り `66510744745280954580362105190972115548279593072161796917191378245805281277470465859781394557741487911362085102771004098570105256324790855642714561007008982485391076303064964375798548296969982325688997177771086405616727541506084053747888389<239>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 12, 2013 13:00:00 UTC 2013 年 6 月 12 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 25, 2013 13:51:13 UTC 2013 年 9 月 25 日 (水) 22 時 51 分 13 秒 (日本時間)
4511e61500Dmitry DomanovNovember 14, 2013 05:30:20 UTC 2013 年 11 月 14 日 (木) 14 時 30 分 20 秒 (日本時間)
5043e6250 / 6562Dmitry DomanovDecember 12, 2014 13:48:59 UTC 2014 年 12 月 12 日 (金) 22 時 48 分 59 秒 (日本時間)
5511e7248 / 17574Dmitry DomanovJanuary 13, 2015 23:41:10 UTC 2015 年 1 月 14 日 (水) 8 時 41 分 10 秒 (日本時間)

## 34×10247+119

### c234

composite cofactor 合成数の残り `126002351085264719871093063193433466178316599732967139230510112313779417423153801418856397970068407122415153361158343778235379640305825330513920042771092059199102188197132279488789059088908030270795117397619670366157513629719169191207<234>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 12, 2013 13:00:00 UTC 2013 年 6 月 12 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 25, 2013 13:51:22 UTC 2013 年 9 月 25 日 (水) 22 時 51 分 22 秒 (日本時間)
4511e61500 / 3266Dmitry DomanovNovember 14, 2013 05:30:31 UTC 2013 年 11 月 14 日 (木) 14 時 30 分 31 秒 (日本時間)
5043e6250 / 7159Dmitry DomanovDecember 12, 2014 13:48:43 UTC 2014 年 12 月 12 日 (金) 22 時 48 分 43 秒 (日本時間)

## 34×10248+119

### c245

name 名前 Dmitry Domanov September 11, 2013 04:57:46 UTC 2013 年 9 月 11 日 (水) 13 時 57 分 46 秒 (日本時間) `26523750458314805713527892844048148408184917347312910045480430932933916855843416259059030946975902392598313401514974217354333902813857879504161888491032632014166803185970496228166662766115128679195238206682424894880136051237645003003424684250353<245>` `32792164945259415100622730838026622757<38>` `808844140135041618537658121670924109567518554864849773776063334222742264583435655940268235690313909406431525243276974055513111578529786376668317250924037643453427350360765505441639362275464515451364267627229<207>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3425872430 Step 1 took 34989ms Step 2 took 12582ms ********** Factor found in step 2: 32792164945259415100622730838026622757 Found probable prime factor of 38 digits: 32792164945259415100622730838026622757```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61014118Makoto KamadaJune 12, 2013 13:00:00 UTC 2013 年 6 月 12 日 (水) 22 時 0 分 0 秒 (日本時間)
896Andreas TeteJuly 31, 2013 14:51:46 UTC 2013 年 7 月 31 日 (水) 23 時 51 分 46 秒 (日本時間)
403e61500Dmitry DomanovSeptember 25, 2013 13:51:35 UTC 2013 年 9 月 25 日 (水) 22 時 51 分 35 秒 (日本時間)
4511e61500 / 3260Dmitry DomanovOctober 25, 2013 13:47:59 UTC 2013 年 10 月 25 日 (金) 22 時 47 分 59 秒 (日本時間)
5043e6240 / 7154Dmitry DomanovDecember 12, 2014 11:06:54 UTC 2014 年 12 月 12 日 (金) 20 時 6 分 54 秒 (日本時間)

## 34×10250+119

### c230

name 名前 Dmitry Domanov September 10, 2013 06:32:06 UTC 2013 年 9 月 10 日 (火) 15 時 32 分 6 秒 (日本時間) `36591906488149435109257476256012593908727066654798827617720512529310150169222673124671507873638434151158306318101606224210201590274841881251627392201569719569167488440021522391642732202183818446510302073444559407805999898084132179<230>` `52586204797007454653914826760933499<35>` `695846118376502161502183750346799562781302016269999176589320906910624219382342220673688565153914471861971046857951574920281590661098751159965583041736991915731424893407791717416294274918279021321<195>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=449555282 Step 1 took 30609ms Step 2 took 11774ms ********** Factor found in step 2: 52586204797007454653914826760933499 Found probable prime factor of 35 digits: 52586204797007454653914826760933499```

### c195

name 名前 Dmitry Domanov September 20, 2013 05:02:08 UTC 2013 年 9 月 20 日 (金) 14 時 2 分 8 秒 (日本時間) `695846118376502161502183750346799562781302016269999176589320906910624219382342220673688565153914471861971046857951574920281590661098751159965583041736991915731424893407791717416294274918279021321<195>` `415434741282230902251394048809351768581<39>` `1674982973809044548704062234735647750993612864580408219381971247275095550999992333975099628998455081023893009411763326775225367193128904697606370634196799541<157>` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3928943733 Step 1 took 130860ms Step 2 took 40876ms ********** Factor found in step 2: 415434741282230902251394048809351768581 Found probable prime factor of 39 digits: 415434741282230902251394048809351768581```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 12, 2013 13:00:00 UTC 2013 年 6 月 12 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 19, 2013 13:06:31 UTC 2013 年 9 月 19 日 (木) 22 時 6 分 31 秒 (日本時間)
4511e61800Dmitry DomanovSeptember 19, 2013 13:06:31 UTC 2013 年 9 月 19 日 (木) 22 時 6 分 31 秒 (日本時間)
5043e6700 / 7092Dmitry DomanovSeptember 25, 2013 13:52:12 UTC 2013 年 9 月 25 日 (水) 22 時 52 分 12 秒 (日本時間)

## 34×10253+119

### c166

composite cofactor 合成数の残り `1061145760482418650599457170296824899651954679292291954318433195062480032737096467619998809779366253090385104459439002132707597718234259794508061792594765980044693973<166>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovMay 22, 2017 14:29:14 UTC 2017 年 5 月 22 日 (月) 23 時 29 分 14 秒 (日本時間)
4511e61200Dmitry DomanovMay 24, 2017 10:06:47 UTC 2017 年 5 月 24 日 (水) 19 時 6 分 47 秒 (日本時間)
5043e6900 / 7233Dmitry DomanovJune 5, 2017 14:33:44 UTC 2017 年 6 月 5 日 (月) 23 時 33 分 44 秒 (日本時間)

## 34×10254+119

### c246

name 名前 Dmitry Domanov May 25, 2017 09:53:28 UTC 2017 年 5 月 25 日 (木) 18 時 53 分 28 秒 (日本時間) `880068517102820457224673134095030719442581332922645736015761155355792219594982150920137402519492195609724207640619076091371874444653307999484278813603021208748156573216624827782271524105761454405662767948381811326493877228857223138398138676000897<246>` `23637861863518538160281449250439543203<38>` `37231308067717960639237482273701412820035489630855204828451222218359292187582898805090064950168717373628628100958084612470003688938502665443964999417999940135934781846842487557692173778691837952414108268834699<209>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1076215700 Step 1 took 35592ms Step 2 took 10543ms ********** Factor found in step 2: 23637861863518538160281449250439543203 Found probable prime factor of 38 digits: 23637861863518538160281449250439543203```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2017 06:46:55 UTC 2017 年 5 月 25 日 (木) 15 時 46 分 55 秒 (日本時間)
4511e62904 / 42181000Dmitry DomanovMay 26, 2017 16:50:33 UTC 2017 年 5 月 27 日 (土) 1 時 50 分 33 秒 (日本時間)
1904Anonymous ECMNovember 18, 2017 19:16:20 UTC 2017 年 11 月 19 日 (日) 4 時 16 分 20 秒 (日本時間)

## 34×10255+119

### c220

composite cofactor 合成数の残り `4164533291054789867251321681965316550752804523488104308684019143688651610015534211260924463957409869202982883058231711792173174595934166186693594504614395930101057469741690368688370526091505944500987139470176560592714621<220>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 23, 2017 08:19:34 UTC 2017 年 5 月 23 日 (火) 17 時 19 分 34 秒 (日本時間)
4511e61000 / 4218Dmitry DomanovMay 26, 2017 16:50:48 UTC 2017 年 5 月 27 日 (土) 1 時 50 分 48 秒 (日本時間)

## 34×10257+119

### c236

composite cofactor 合成数の残り `17164112822591417540481527049798004024629601043590302528063798114011342533897648648229003102859325593892986162992277463586357580293445087992871568682526558575296660509826173656262333511802885671614876912535507025072763279743490766339553<236>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 23, 2017 08:20:03 UTC 2017 年 5 月 23 日 (火) 17 時 20 分 3 秒 (日本時間)
4511e61000 / 4218Dmitry DomanovMay 26, 2017 16:58:06 UTC 2017 年 5 月 27 日 (土) 1 時 58 分 6 秒 (日本時間)

## 34×10258+119

### c181

composite cofactor 合成数の残り `7390883870542371858355330751324441931812524571088656847664512886185615690291422987413939141097200202192293156967377721797120272663045309422183447812749361444792607301569722653293717<181>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 22, 2017 12:05:39 UTC 2017 年 5 月 22 日 (月) 21 時 5 分 39 秒 (日本時間)
4511e61000 / 4218Dmitry DomanovMay 26, 2017 16:51:06 UTC 2017 年 5 月 27 日 (土) 1 時 51 分 6 秒 (日本時間)

## 34×10259+119

### c178

name 名前 Dmitry Domanov May 23, 2017 06:29:39 UTC 2017 年 5 月 23 日 (火) 15 時 29 分 39 秒 (日本時間) `8579403494361160130871646211861811382670631854971757077705466482943186337887193150572889594603398991662906198735665803882879260145355725371750732043048402877884766337451311694809<178>` `382694555133137230254809927979462055521127<42>` `22418410137495776751903632090782226225864727150288768053439797777949288200119817753231953026086864660040064273186549542002637412189195967<137>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2682807456 Step 1 took 27637ms Step 2 took 9598ms ********** Factor found in step 2: 382694555133137230254809927979462055521127 Found probable prime factor of 42 digits: 382694555133137230254809927979462055521127 Composite cofactor 22418410137495776751903632090782226225864727150288768053439797777949288200119817753231953026086864660040064273186549542002637412189195967 has 137 digits```

### c137

name 名前 Erik Branger June 1, 2017 06:02:42 UTC 2017 年 6 月 1 日 (木) 15 時 2 分 42 秒 (日本時間) `22418410137495776751903632090782226225864727150288768053439797777949288200119817753231953026086864660040064273186549542002637412189195967<137>` ```51050698369435297871806797170646461355378059231<47> 439140126453548457419212052059366743662303621856321796126837966936894233972064536683885857<90>``` ```Number: 37779_259 N = 22418410137495776751903632090782226225864727150288768053439797777949288200119817753231953026086864660040064273186549542002637412189195967 (137 digits) Divisors found: r1=51050698369435297871806797170646461355378059231 (pp47) r2=439140126453548457419212052059366743662303621856321796126837966936894233972064536683885857 (pp90) Version: Msieve v. 1.51 (SVN 845) Total time: 262.86 hours. Factorization parameters were as follows: # Murphy_E = 2.948e-011, selected by Erik Branger n: 22418410137495776751903632090782226225864727150288768053439797777949288200119817753231953026086864660040064273186549542002637412189195967 Y0: -622413157440556604841825516 Y1: 10750364911561 c0: -15486248075523338287295022219413305 c1: 27383188077672716628161688724 c2: 18610555209868511257283 c3: -13709807673112498 c4: -8176365592 c5: 240 skew: 2324819.27 type: gnfs # selected mechanically rlim: 15000000 alim: 15000000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.6 alambda: 2.6 Factor base limits: 15000000/15000000 Large primes per side: 3 Large prime bits: 28/28 Sieved algebraic special-q in [0, 0) Total raw relations: 23160651 Relations: 3608726 relations Pruned matrix : 2216260 x 2216486 Polynomial selection time: 0.00 hours. Total sieving time: 256.81 hours. Total relation processing time: 0.15 hours. Matrix solve time: 5.03 hours. time per square root: 0.88 hours. Prototype def-par.txt line would be: gnfs,136,5,65,2000,1e-05,0.28,250,20,50000,3600,15000000,15000000,28,28,55,55,2.6,2.6,100000 total time: 262.86 hours. Intel64 Family 6 Model 58 Stepping 9, GenuineIntel Windows-post2008Server-6.2.9200 processors: 8, speed: 2.29GHz``` `GGNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovMay 22, 2017 14:30:07 UTC 2017 年 5 月 22 日 (月) 23 時 30 分 7 秒 (日本時間)
4511e61000 / 4173Dmitry DomanovMay 24, 2017 06:34:02 UTC 2017 年 5 月 24 日 (水) 15 時 34 分 2 秒 (日本時間)

## 34×10261+119

### c237

composite cofactor 合成数の残り `520967362600246747563796455317276332285253860874021089046268037531503305819269868133569291898457002282172044314096940121573212978200269481711547129139374791712549779801041394243145746293287454386175129296805319879691254076340086091013159<237>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 23, 2017 08:20:56 UTC 2017 年 5 月 23 日 (火) 17 時 20 分 56 秒 (日本時間)
4511e61000 / 4218Dmitry DomanovMay 26, 2017 16:58:22 UTC 2017 年 5 月 27 日 (土) 1 時 58 分 22 秒 (日本時間)

## 34×10262+119

### c238

composite cofactor 合成数の残り `1809209910662700801898326925168617382578205674415715264459531548501820412358766713442931575688453188114295129789231722489117882605844048286359297194541285887172305497270483646195312621196528918167480648154990855664593620228542749633203289<238>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 23, 2017 08:21:16 UTC 2017 年 5 月 23 日 (火) 17 時 21 分 16 秒 (日本時間)
4511e61000 / 4218Dmitry DomanovMay 26, 2017 16:58:35 UTC 2017 年 5 月 27 日 (土) 1 時 58 分 35 秒 (日本時間)

## 34×10263+119

### c233

composite cofactor 合成数の残り `62529829406389138346300314695564474606977499116578221254020783450563209283158922091049361487157361666139847689451041903835208872038707275086054168308463160917712517779637948065535171786769684234380587532906515973873958973093505089309<233>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 23, 2017 09:53:30 UTC 2017 年 5 月 23 日 (火) 18 時 53 分 30 秒 (日本時間)
4511e61000 / 4218Dmitry DomanovMay 26, 2017 16:58:50 UTC 2017 年 5 月 27 日 (土) 1 時 58 分 50 秒 (日本時間)

## 34×10264+119

### c234

composite cofactor 合成数の残り `142657440644352207142293067924986496250072174109457264947900395785001811600774286137281148153495248141590836786990958584345294313760825472071064712997388699271312534889508949077441815581528414667260698915489121134267734406935554914227<234>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 23, 2017 09:53:52 UTC 2017 年 5 月 23 日 (火) 18 時 53 分 52 秒 (日本時間)
4511e61000 / 4218Dmitry DomanovMay 26, 2017 16:59:00 UTC 2017 年 5 月 27 日 (土) 1 時 59 分 0 秒 (日本時間)

## 34×10267+119

### c236

composite cofactor 合成数の残り `18083454271548721017833737327342339044787887339969314393971095656971877002780215085666944910643149899796780296715905102856762787656136901135347937415293994912723507502055335095247715374512290855648021445842443042721368569392013158291803<236>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 23, 2017 13:09:58 UTC 2017 年 5 月 23 日 (火) 22 時 9 分 58 秒 (日本時間)
4511e61000 / 4218Dmitry DomanovMay 26, 2017 16:59:11 UTC 2017 年 5 月 27 日 (土) 1 時 59 分 11 秒 (日本時間)

## 34×10271+119

### c221

composite cofactor 合成数の残り `19259021429153844010728905864779525723768583198853722825891419357616057835137541951104404998571531076988654930047174786597954994516498776936420455020173111207666193412203420882441301560084686260760716015788993895105755643<221>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 23, 2017 13:10:32 UTC 2017 年 5 月 23 日 (火) 22 時 10 分 32 秒 (日本時間)
4511e61000 / 4218Dmitry DomanovMay 26, 2017 16:59:26 UTC 2017 年 5 月 27 日 (土) 1 時 59 分 26 秒 (日本時間)

## 34×10272+119

### c241

composite cofactor 合成数の残り `2989256648793994966362317588696724966806334277698180948506489307879330695842834656722418461912950620561927161905368067562683135645175018703349417994843205819264600530506859190902285039868037594008422839795076627570998398698196021060758721047<241>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2017 09:53:49 UTC 2017 年 5 月 25 日 (木) 18 時 53 分 49 秒 (日本時間)
4511e6320 / 4218Dmitry DomanovJune 26, 2020 13:52:50 UTC 2020 年 6 月 26 日 (金) 22 時 52 分 50 秒 (日本時間)

## 34×10273+119

### c261

composite cofactor 合成数の残り `460507426505517042863201400465968827866368694280500262106662032994839498799992592139585460475084026513734489601141244370109144314379303128396829174791736755113297055926743915089916924421201821780009419644686639505874307919206520384651447557089151396644448185359<261>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2017 14:35:23 UTC 2017 年 5 月 25 日 (木) 23 時 35 分 23 秒 (日本時間)
4511e6320 / 4218Dmitry DomanovJune 25, 2020 22:23:54 UTC 2020 年 6 月 26 日 (金) 7 時 23 分 54 秒 (日本時間)

## 34×10274+119

### c229

composite cofactor 合成数の残り `3248933581130834147919777177304493857407115685915405481562948221761326766968132284240466092662407357192831764334519135552372936401489036075418377316174309373391224437994886152358202076137925098507194702777277671028215257080314103<229>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 23, 2017 13:44:05 UTC 2017 年 5 月 23 日 (火) 22 時 44 分 5 秒 (日本時間)
4511e61000 / 4218Dmitry DomanovMay 26, 2017 16:52:33 UTC 2017 年 5 月 27 日 (土) 1 時 52 分 33 秒 (日本時間)

## 34×10275+119

### c257

composite cofactor 合成数の残り `17627997406796700836291655257565702459936790703482220068627456693488077948927222043186694657532696488040492403600393272447128642128621206750741858203256176356571127260136021587758178437788297802269667511605868125565366784703695799585280515452642183072397551<257>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2017 14:35:35 UTC 2017 年 5 月 25 日 (木) 23 時 35 分 35 秒 (日本時間)
4511e6320 / 4218Dmitry DomanovJune 26, 2020 13:53:16 UTC 2020 年 6 月 26 日 (金) 22 時 53 分 16 秒 (日本時間)

## 34×10276+119

### c219

composite cofactor 合成数の残り `929393705976370306746632005379853185113849152007931372585779664089826586787291110466203914041059988126648715892627802084895476846678939004861148975411721316482375862599867242887582020651746085025868432401738241493505111<219>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 23, 2017 13:44:17 UTC 2017 年 5 月 23 日 (火) 22 時 44 分 17 秒 (日本時間)
4511e61000 / 4218Dmitry DomanovMay 26, 2017 16:51:24 UTC 2017 年 5 月 27 日 (土) 1 時 51 分 24 秒 (日本時間)

## 34×10277+119

### c235

composite cofactor 合成数の残り `2158590440056783273455985037475804351122716759383051391436425017853754010494648318710183189313126708516244345444167801899972151299449236742438874407362103531672741287721274318593265149233469931844135991379796647029487393214311225280047<235>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 23, 2017 13:44:31 UTC 2017 年 5 月 23 日 (火) 22 時 44 分 31 秒 (日本時間)
4511e61000 / 4218Dmitry DomanovMay 26, 2017 16:59:41 UTC 2017 年 5 月 27 日 (土) 1 時 59 分 41 秒 (日本時間)

## 34×10278+119

### c139

name 名前 Erik Branger June 14, 2017 17:28:13 UTC 2017 年 6 月 15 日 (木) 2 時 28 分 13 秒 (日本時間) `4304960021881695869759204930972226976246869891216321574106475021292399212182112837451217932177111293344353904386329237497152708527048466169<139>` ```186692931679365396701127977248968024635733406784394906894259087<63> 23059041299299013790260954880311988896379512210148904931725964075254943088887<77>``` ```Number: 37779_278 N = 4304960021881695869759204930972226976246869891216321574106475021292399212182112837451217932177111293344353904386329237497152708527048466169 (139 digits) Divisors found: r1=186692931679365396701127977248968024635733406784394906894259087 (pp63) r2=23059041299299013790260954880311988896379512210148904931725964075254943088887 (pp77) Version: Msieve v. 1.51 (SVN 845) Total time: 291.24 hours. Factorization parameters were as follows: n: 4304960021881695869759204930972226976246869891216321574106475021292399212182112837451217932177111293344353904386329237497152708527048466169 Y0: -1207068572862457462165930304 Y1: 429313531105541 c0: 21780017516630850534584780579364405 c1: 44288648213586264173179473556 c2: 2262484314559098092919 c3: -24392507407206728 c4: 1380460088 c5: 1680 skew: 2137754.60 type: gnfs Factor base limits: 11600000/11600000 Large primes per side: 3 Large prime bits: 28/28 Sieved algebraic special-q in [0, 0) Total raw relations: 24245316 Relations: 3856620 relations Pruned matrix : 2340575 x 2340800 Polynomial selection time: 0.00 hours. Total sieving time: 285.25 hours. Total relation processing time: 0.19 hours. Matrix solve time: 5.45 hours. time per square root: 0.35 hours. Prototype def-par.txt line would be: gnfs,138,5,65,2000,1e-05,0.28,250,20,50000,3600,11600000,11600000,28,28,56,56,2.5,2.5,100000 total time: 291.24 hours. Intel64 Family 6 Model 58 Stepping 9, GenuineIntel Windows-post2008Server-6.2.9200 processors: 8, speed: 2.29GHz``` `GGNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovMay 22, 2017 06:44:17 UTC 2017 年 5 月 22 日 (月) 15 時 44 分 17 秒 (日本時間)
4511e61000 / 4173Dmitry DomanovMay 22, 2017 21:13:21 UTC 2017 年 5 月 23 日 (火) 6 時 13 分 21 秒 (日本時間)

## 34×10280+119

### c188

composite cofactor 合成数の残り `18562535717523646535961159508147668096428858204397832615675653525171385058906680981269265355047899880064191476925326703138493311576589825405372790643483781219699385867275690051242091872189<188>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovMay 22, 2017 14:31:28 UTC 2017 年 5 月 22 日 (月) 23 時 31 分 28 秒 (日本時間)
4511e61200Dmitry DomanovMay 23, 2017 13:57:09 UTC 2017 年 5 月 23 日 (火) 22 時 57 分 9 秒 (日本時間)
5043e61200 / 7233Dmitry DomanovJune 1, 2017 14:38:03 UTC 2017 年 6 月 1 日 (木) 23 時 38 分 3 秒 (日本時間)

## 34×10282+119

### c229

composite cofactor 合成数の残り `2092543052260843906142642054040270942235921317390589953210316808848901960479640647153640812243870526510613239019473913187925610944885429937370351047985138870729480724654503335051510249193854066693004989506821795964748782013810391<229>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 23, 2017 13:44:50 UTC 2017 年 5 月 23 日 (火) 22 時 44 分 50 秒 (日本時間)
4511e61000 / 4218Dmitry DomanovMay 26, 2017 16:52:12 UTC 2017 年 5 月 27 日 (土) 1 時 52 分 12 秒 (日本時間)

## 34×10283+119

### c238

composite cofactor 合成数の残り `6536239772156212822003109749478657950130452460005500995198391782429966483507289213649032394347958028501629463434814809326003892642184621930725328517744546683789892021031881488646594351413045168760618675658134715413084868676602462914943009<238>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 23, 2017 13:45:03 UTC 2017 年 5 月 23 日 (火) 22 時 45 分 3 秒 (日本時間)
4511e6320 / 4218Dmitry DomanovJune 26, 2020 13:53:33 UTC 2020 年 6 月 26 日 (金) 22 時 53 分 33 秒 (日本時間)

## 34×10284+119

### c278

composite cofactor 合成数の残り `36697759058898489346462453135747417700121433964071749774732425035733633374211398887382230010350171204220449526177423583959491545640425491519800885730636570445897956333099039728659359948555786136210489452151999225375067017933298995024312751082154852260272725440782990295094128079<278>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2017 14:35:57 UTC 2017 年 5 月 25 日 (木) 23 時 35 分 57 秒 (日本時間)
4511e6320 / 4218Dmitry DomanovJune 25, 2020 22:24:32 UTC 2020 年 6 月 26 日 (金) 7 時 24 分 32 秒 (日本時間)

## 34×10285+119

### c275

composite cofactor 合成数の残り `27608279659309966800672646281061543499116277047874627797006521544802213256587310900328904030468562840901041618176618547044320348843898079868226307276935543588530694319234092575556231962678371914682478663964092135088452104500628991931304045105588601711507877897591711814008953<275>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2017 14:36:12 UTC 2017 年 5 月 25 日 (木) 23 時 36 分 12 秒 (日本時間)
4511e6320 / 4218Dmitry DomanovJune 25, 2020 22:24:45 UTC 2020 年 6 月 26 日 (金) 7 時 24 分 45 秒 (日本時間)

## 34×10286+119

### c246

composite cofactor 合成数の残り `135631859134887042472243077253517640825147420787441717190771997475546679763838781221125673948012863436869158523264413432931603548687241469780089641547715170989377650682477179112518187898734529563074038883721274600358744313860399130312601142851431<246>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2017 10:03:56 UTC 2017 年 5 月 25 日 (木) 19 時 3 分 56 秒 (日本時間)
4511e6320 / 4218Dmitry DomanovJune 26, 2020 13:53:50 UTC 2020 年 6 月 26 日 (金) 22 時 53 分 50 秒 (日本時間)

## 34×10287+119

### c224

name 名前 Serge Batalov May 23, 2017 05:16:01 UTC 2017 年 5 月 23 日 (火) 14 時 16 分 1 秒 (日本時間) `87134257970905464597433755858959400417011257402660605393264496338842746205092329533930778537181943282916313288943529238394782123874062759783910934101423615525996365930735970510384159804247197942853142791659396571486028988807<224>` ```8461265560773671596763819784633942050659<40> 10298017163633164731322351131910744941512416181589164181535076184027751729242125477417643458783047692257698728648789500763959654456316435101495358208748573114444320196812936863285727373<185>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1503665160 Step 1 took 9908ms Step 2 took 4580ms ********** Factor found in step 2: 8461265560773671596763819784633942050659 Found prime factor of 40 digits: 8461265560773671596763819784633942050659 Prime cofactor ```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)

## 34×10288+119

### c252

name 名前 Serge Batalov May 23, 2017 16:39:55 UTC 2017 年 5 月 24 日 (水) 1 時 39 分 55 秒 (日本時間) `338050556394587218834704725734455852257425829623570452698892485540400556669941859507230405279367767167549194129097812340210543592033295977031043748823006989695777938568833659945140387468186335667189320946282225525267199465818888815868340419175815880389<252>` ```199143795975019277948379426159312259589<39> 1697519898822218351227359556171933091951465632695975121846383579121336500885490384825467696223793157911771354097545133939419471090211835209670441573576149663704392257776300600175910010945022382695311547652625227201<214>``` `199143795975019277948379426159312259589`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)

## 34×10290+119

### c242

composite cofactor 合成数の残り `24779451777386962608802647903386501957111296218105456308639867474599034690100736822816932579786695026886597472664016738461524525018299112921725285347263397404826670364995490405793996684846434957173510168078011091670830951589209154683530997759<242>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2017 10:25:20 UTC 2017 年 5 月 25 日 (木) 19 時 25 分 20 秒 (日本時間)
4511e6320 / 4218Dmitry DomanovJune 26, 2020 13:54:08 UTC 2020 年 6 月 26 日 (金) 22 時 54 分 8 秒 (日本時間)

## 34×10292+119

### c272

composite cofactor 合成数の残り `18575057640063191239345357303665857395954745944889086545591759093513246416586783962718394198199527316762068616172479901018118655409270054720727531671251798195048859376331590985147323338272056098032532749606221755812411873443423530945189250377395258228893137021714197428613<272>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2017 14:36:24 UTC 2017 年 5 月 25 日 (木) 23 時 36 分 24 秒 (日本時間)
4511e6320 / 4218Dmitry DomanovJune 25, 2020 22:24:19 UTC 2020 年 6 月 26 日 (金) 7 時 24 分 19 秒 (日本時間)

## 34×10293+119

### c204

composite cofactor 合成数の残り `676925673723968624256520045159975412975167211703480093465621387158184656980542403707264518028306128259971889141404006653194105849455953790973704247449057632327441393027163659686206158963852686529460444359<204>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 23, 2017 13:45:20 UTC 2017 年 5 月 23 日 (火) 22 時 45 分 20 秒 (日本時間)
4511e61000 / 4218Dmitry DomanovMay 26, 2017 16:51:50 UTC 2017 年 5 月 27 日 (土) 1 時 51 分 50 秒 (日本時間)

## 34×10294+119

### c246

composite cofactor 合成数の残り `149281969730218625537473484380271660045044892788109893334070693793738789181560414186397137617293898310910499573505458760679615166437566129256464918513242050065073731038258204543924432085395610092116302782701560811323856193337190449401228871974559<246>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2017 10:25:51 UTC 2017 年 5 月 25 日 (木) 19 時 25 分 51 秒 (日本時間)
4511e6320 / 4218Dmitry DomanovJune 25, 2020 13:03:42 UTC 2020 年 6 月 25 日 (木) 22 時 3 分 42 秒 (日本時間)

## 34×10296+119

### c264

composite cofactor 合成数の残り `555791678244964897597270404416404939709482054750472158204118277329636362028563911134395003180757149689315796084818179497219051330382515922942106866604236419439683612389358425255449446398131486870578502727110149848407158488807019811635344208881391494988910610606991<264>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2017 14:36:39 UTC 2017 年 5 月 25 日 (木) 23 時 36 分 39 秒 (日本時間)
4511e6320 / 4218Dmitry DomanovJune 25, 2020 13:03:59 UTC 2020 年 6 月 25 日 (木) 22 時 3 分 59 秒 (日本時間)

## 34×10298+119

### c285

composite cofactor 合成数の残り `149596010130620291585657472400087624086002859297568387375574216377760971624267429730833479635506293656945456512499245137709943338544152022038741880725600591911524108379219755643135964372919372168419712673712076257605170373677204084448735085090135922020949754586222263858402281439947839<285>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2017 14:36:52 UTC 2017 年 5 月 25 日 (木) 23 時 36 分 52 秒 (日本時間)
4511e6320 / 4218Dmitry DomanovJune 25, 2020 13:04:15 UTC 2020 年 6 月 25 日 (木) 22 時 4 分 15 秒 (日本時間)

## 34×10299+119

### c268

composite cofactor 合成数の残り `3391504875650295972745007926557932468686966369725749080002488627143258315396736968927545232667928506929505072700101012569528411059414780396990498047840031822724344717075066095809484957303630314330032084072282622229674407902373202356898225283842212486149319208338141127<268>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2017 14:37:06 UTC 2017 年 5 月 25 日 (木) 23 時 37 分 6 秒 (日本時間)
4511e6320 / 4218Dmitry DomanovJune 25, 2020 13:04:29 UTC 2020 年 6 月 25 日 (木) 22 時 4 分 29 秒 (日本時間)