## 7×1098+839

### c96

name 名前 KTakahashi January 8, 2015 13:20:15 UTC 2015 年 1 月 8 日 (木) 22 時 20 分 15 秒 (日本時間) `328176277543366150961087669948429442100328176277543366150961087669948429442100328176277543366151<96>` ```5426672208528741583928422711<28> 60474682260629859601616488672633202042443387591380405569386111685041<68>``` ```Input number is 328176277543366150961087669948429442100328176277543366150961087669948429442100328176277543366151 (96 digits) Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=1465985623 Step 1 took 608ms Step 2 took 437ms ********** Factor found in step 2: 5426672208528741583928422711 Found probable prime factor of 28 digits: 5426672208528741583928422711 Probable prime cofactor 60474682260629859601616488672633202042443387591380405569386111685041 has 68 digits``` `GMP-ECM 6.4.4`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

## 7×10109+839

### c103

name 名前 KTakahashi January 8, 2015 13:35:25 UTC 2015 年 1 月 8 日 (木) 22 時 35 分 25 秒 (日本時間) `9635466887236268668200908294168601674891914150192427156214456311210163710711899953020216448375164336329<103>` ```5079917638661102615356984990501130803393<40> 1896776202414151219362352775106375630502200244378466168085420553<64>``` ```Number: 77787_109 N=9635466887236268668200908294168601674891914150192427156214456311210163710711899953020216448375164336329 ( 103 digits) SNFS difficulty: 110 digits. Divisors found: r1=5079917638661102615356984990501130803393 (pp40) r2=1896776202414151219362352775106375630502200244378466168085420553 (pp64) Version: Msieve v. 1.51 (SVN Official Release) Total time: 1.28 hours. Scaled time: 2.66 units (timescale=2.068). Factorization parameters were as follows: n: 9635466887236268668200908294168601674891914150192427156214456311210163710711899953020216448375164336329 m: 5000000000000000000000 c5: 112 c0: 415 skew: 1.30 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved rational special-q in [300000, 450001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 81586 x 81812 Total sieving time: 1.24 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.02 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,110.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 1.28 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

## 7×10123+839

### c120

name 名前 KTakahashi January 8, 2015 14:12:51 UTC 2015 年 1 月 8 日 (木) 23 時 12 分 51 秒 (日本時間) `202916195611212569208916717395715569469808968895846015595559034118908890628170565556425196393889323709308055772965765139<120>` ```6191909706549341587748563627941535814943108481707247<52> 32771181303981695439631685261386992909298943905869497814303559051037<68>``` ```Number: 77787_123 N=202916195611212569208916717395715569469808968895846015595559034118908890628170565556425196393889323709308055772965765139 ( 120 digits) SNFS difficulty: 124 digits. Divisors found: r1=6191909706549341587748563627941535814943108481707247 (pp52) r2=32771181303981695439631685261386992909298943905869497814303559051037 (pp68) Version: Msieve v. 1.51 (SVN Official Release) Total time: 2.74 hours. Scaled time: 4.95 units (timescale=1.806). Factorization parameters were as follows: n: 202916195611212569208916717395715569469808968895846015595559034118908890628170565556425196393889323709308055772965765139 m: 2000000000000000000000000 c5: 875 c0: 332 skew: 0.82 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved rational special-q in [300000, 600001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 107385 x 107615 Total sieving time: 2.68 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.04 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,124.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 2.74 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
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 14:12:28 UTC 2015 年 1 月 8 日 (木) 23 時 12 分 28 秒 (日本時間)

## 7×10128+839

### c111

name 名前 KTakahashi January 8, 2015 14:40:33 UTC 2015 年 1 月 8 日 (木) 23 時 40 分 33 秒 (日本時間) `991640319984381478070364816179791747791706733520945218065557364102636347839589983400519661358521486865164716607<111>` ```9536604647286568386230172582893093<34> 103982534314928424128434170316376559848296543283147665613048765607960061482899<78>``` ```Input number is 991640319984381478070364816179791747791706733520945218065557364102636347839589983400519661358521486865164716607 (111 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3765305671 Step 1 took 2668ms Step 2 took 1778ms ********** Factor found in step 2: 9536604647286568386230172582893093 Found probable prime factor of 34 digits: 9536604647286568386230172582893093 Probable prime cofactor 103982534314928424128434170316376559848296543283147665613048765607960061482899 has 78 digits``` `GMP-ECM 6.4.4`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

## 7×10130+839

### c112

name 名前 KTakahashi January 8, 2015 14:54:53 UTC 2015 年 1 月 8 日 (木) 23 時 54 分 53 秒 (日本時間) `3774865681236236369649177589965681538084246933049091511788249503576559831134501154500834944279500182480415660509<112>` ```53036218099356414070672078807965526508537317897421<50> 71175242438375215788605021194248784769229660855063675958229329<62>``` ```Number: 77787_130 N=3774865681236236369649177589965681538084246933049091511788249503576559831134501154500834944279500182480415660509 ( 112 digits) SNFS difficulty: 130 digits. Divisors found: r1=53036218099356414070672078807965526508537317897421 (pp50) r2=71175242438375215788605021194248784769229660855063675958229329 (pp62) Version: Msieve v. 1.51 (SVN Official Release) Total time: 2.87 hours. Scaled time: 4.97 units (timescale=1.733). Factorization parameters were as follows: n: 3774865681236236369649177589965681538084246933049091511788249503576559831134501154500834944279500182480415660509 m: 100000000000000000000000000 c5: 7 c0: 83 skew: 1.64 type: snfs Factor base limits: 800000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved rational special-q in [400000, 900001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 110515 x 110740 Total sieving time: 2.81 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.04 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,130.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000 total time: 2.87 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
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 14:54:15 UTC 2015 年 1 月 8 日 (木) 23 時 54 分 15 秒 (日本時間)

## 7×10131+839

### c115

name 名前 KTakahashi January 8, 2015 15:47:03 UTC 2015 年 1 月 9 日 (金) 0 時 47 分 3 秒 (日本時間) `4089209305231340822547442232905969548988532119401251766964062717686361691159260050141048073454715719160623006421263<115>` ```9682521308348976039854799478099505380689734390983<49> 422328975584626529502700162757004396839611262028300786544903031161<66>``` ```Number: 77787_131 N=4089209305231340822547442232905969548988532119401251766964062717686361691159260050141048073454715719160623006421263 ( 115 digits) SNFS difficulty: 131 digits. Divisors found: r1=9682521308348976039854799478099505380689734390983 (pp49) r2=422328975584626529502700162757004396839611262028300786544903031161 (pp66) Version: Msieve v. 1.51 (SVN Official Release) Total time: 4.24 hours. Scaled time: 7.29 units (timescale=1.719). Factorization parameters were as follows: n: 4089209305231340822547442232905969548988532119401251766964062717686361691159260050141048073454715719160623006421263 m: 100000000000000000000000000 c5: 70 c0: 83 skew: 1.03 type: snfs Factor base limits: 800000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved rational special-q in [400000, 1200001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 134228 x 134462 Total sieving time: 4.17 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.06 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,131.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000 total time: 4.24 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
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:46:32 UTC 2015 年 1 月 9 日 (金) 0 時 46 分 32 秒 (日本時間)

## 7×10134+839

### c95

name 名前 KTakahashi January 8, 2015 15:47:55 UTC 2015 年 1 月 9 日 (金) 0 時 47 分 55 秒 (日本時間) `42073400108446917501828916867598879959211247497489145484027901884806890932290433052241678035113<95>` ```61630778728348964440803835312548251<35> 682668643436984001699496048395814092862333116713698758020363<60>``` ```Input number is 42073400108446917501828916867598879959211247497489145484027901884806890932290433052241678035113 (95 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4180854630 Step 1 took 2184ms Step 2 took 1653ms ********** Factor found in step 2: 61630778728348964440803835312548251 Found probable prime factor of 35 digits: 61630778728348964440803835312548251 Probable prime cofactor 682668643436984001699496048395814092862333116713698758020363 has 60 digits``` `GMP-ECM 6.4.4`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

## 7×10136+839

### c128

name 名前 Jo Yeong Uk January 10, 2015 04:06:24 UTC 2015 年 1 月 10 日 (土) 13 時 6 分 24 秒 (日本時間) `10175832375343767837402824814817916505435508884239920313940512409269638276356149087668602111002040288843717467686727515867792151<128>` ```1668009950433864322022698977533697344721344835600101<52> 6100582537110730503133845754456493993019902570749058085447196475021703487051<76>``` ```Number: 77787_136 N=10175832375343767837402824814817916505435508884239920313940512409269638276356149087668602111002040288843717467686727515867792151 ( 128 digits) SNFS difficulty: 136 digits. Divisors found: r1=1668009950433864322022698977533697344721344835600101 r2=6100582537110730503133845754456493993019902570749058085447196475021703487051 Version: Total time: 1.76 hours. Scaled time: 9.21 units (timescale=5.236). Factorization parameters were as follows: n: 10175832375343767837402824814817916505435508884239920313940512409269638276356149087668602111002040288843717467686727515867792151 m: 1000000000000000000000000000 deg: 5 c5: 70 c0: 83 skew: 1.03 # Murphy_E = 3.503e-09 type: snfs lss: 1 rlim: 1300000 alim: 1300000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 Factor base limits: 1300000/1300000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved rational special-q in [650000, 1400001) Primes: rational ideals reading, algebraic ideals reading, Relations: 3506385 Max relations in full relation-set: Initial matrix: Pruned matrix : 223714 x 223962 Total sieving time: 1.48 hours. Total relation processing time: 0.22 hours. Matrix solve time: 0.04 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,136,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,48,48,2.3,2.3,25000 total time: 1.76 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120) Total of 12 processors activated (81602.88 BogoMIPS).``` `GGNFS / Msieve v1.39` `Core i7-4930K`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:48:22 UTC 2015 年 1 月 9 日 (金) 0 時 48 分 22 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:08:00 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 0 秒 (日本時間)

## 7×10139+839

### c109

name 名前 Jo Yeong Uk January 11, 2015 21:58:36 UTC 2015 年 1 月 12 日 (月) 6 時 58 分 36 秒 (日本時間) `2308652760862359079517880149616479142567341171526630274014631471859414406890377400948870673797200867082189459<109>` ```164562922935139036513585658750842075949813<42> 14028997052831234318270958542815047201825506971321711029929541757543<68>``` ```Number: 77787_139 N=2308652760862359079517880149616479142567341171526630274014631471859414406890377400948870673797200867082189459 ( 109 digits) SNFS difficulty: 140 digits. Divisors found: r1=164562922935139036513585658750842075949813 r2=14028997052831234318270958542815047201825506971321711029929541757543 Version: Total time: 1.99 hours. Scaled time: 10.14 units (timescale=5.094). Factorization parameters were as follows: n: 2308652760862359079517880149616479142567341171526630274014631471859414406890377400948870673797200867082189459 m: 10000000000000000000000000000 deg: 5 c5: 7 c0: 830 skew: 2.60 # Murphy_E = 2.927e-09 type: snfs lss: 1 rlim: 2000000 alim: 2000000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 Factor base limits: 2000000/2000000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved rational special-q in [1000000, 1750001) Primes: rational ideals reading, algebraic ideals reading, Relations: 4108350 Max relations in full relation-set: Initial matrix: Pruned matrix : 273979 x 274227 Total sieving time: 1.75 hours. Total relation processing time: 0.14 hours. Matrix solve time: 0.07 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,140,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,48,48,2.3,2.3,50000 total time: 1.99 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120) Total of 12 processors activated (81602.88 BogoMIPS).``` `GGNFS / Msieve v1.39` `Core i7-4930K`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:48:46 UTC 2015 年 1 月 9 日 (金) 0 時 48 分 46 秒 (日本時間)

## 7×10142+839

### c113

name 名前 Jo Yeong Uk January 14, 2015 20:39:51 UTC 2015 年 1 月 15 日 (木) 5 時 39 分 51 秒 (日本時間) `52723325594145807977736616238189152446603001084669648343073056243203481454981954075603330188148973195764195091247<113>` ```2105801206534476222940408721364878541240947423415689<52> 25037180827202940701581671739448410982261331793263728900453623<62>``` ```Number: 77787_142 N=52723325594145807977736616238189152446603001084669648343073056243203481454981954075603330188148973195764195091247 ( 113 digits) SNFS difficulty: 142 digits. Divisors found: r1=2105801206534476222940408721364878541240947423415689 r2=25037180827202940701581671739448410982261331793263728900453623 Version: Total time: 2.78 hours. Scaled time: 14.51 units (timescale=5.218). Factorization parameters were as follows: n: 52723325594145807977736616238189152446603001084669648343073056243203481454981954075603330188148973195764195091247 m: 10000000000000000000000000000 deg: 5 c5: 700 c0: 83 skew: 0.65 # Murphy_E = 2.123e-09 type: snfs lss: 1 rlim: 2200000 alim: 2200000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 Factor base limits: 2200000/2200000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved rational special-q in [1100000, 2150001) Primes: rational ideals reading, algebraic ideals reading, Relations: 4309764 Max relations in full relation-set: Initial matrix: Pruned matrix : 331670 x 331918 Total sieving time: 2.45 hours. Total relation processing time: 0.20 hours. Matrix solve time: 0.10 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,142,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,48,48,2.3,2.3,50000 total time: 2.78 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120) Total of 12 processors activated (81602.88 BogoMIPS).``` `GGNFS / Msieve v1.39` `Core i7-4930K`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:49:04 UTC 2015 年 1 月 9 日 (金) 0 時 49 分 4 秒 (日本時間)

## 7×10143+839

### c126

name 名前 Jo Yeong Uk January 17, 2015 14:43:41 UTC 2015 年 1 月 17 日 (土) 23 時 43 分 41 秒 (日本時間) `705258972677167145194611935529393825696944918743502994065692702895408080524969318669263126245162752733013098449988545292691761<126>` ```391345058136495212784293165904934508531718040592537<51> 1802140995558920604891091130783207037648729227611971546992520716692745892953<76>``` ```Number: 77787_143 N=705258972677167145194611935529393825696944918743502994065692702895408080524969318669263126245162752733013098449988545292691761 ( 126 digits) SNFS difficulty: 144 digits. Divisors found: r1=391345058136495212784293165904934508531718040592537 r2=1802140995558920604891091130783207037648729227611971546992520716692745892953 Version: Total time: 3.39 hours. Scaled time: 17.74 units (timescale=5.238). Factorization parameters were as follows: n: 705258972677167145194611935529393825696944918743502994065692702895408080524969318669263126245162752733013098449988545292691761 m: 20000000000000000000000000000 deg: 5 c5: 875 c0: 332 skew: 0.82 # Murphy_E = 1.778e-09 type: snfs lss: 1 rlim: 2400000 alim: 2400000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved rational special-q in [1200000, 2450001) Primes: rational ideals reading, algebraic ideals reading, Relations: 4471639 Max relations in full relation-set: Initial matrix: Pruned matrix : 351697 x 351945 Total sieving time: 2.99 hours. Total relation processing time: 0.25 hours. Matrix solve time: 0.11 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,144,5,0,0,0,0,0,0,0,0,2400000,2400000,26,26,48,48,2.3,2.3,50000 total time: 3.39 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120) Total of 12 processors activated (81602.88 BogoMIPS).``` `GGNFS / Msieve v1.39` `Core i7-4930K`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:49:18 UTC 2015 年 1 月 9 日 (金) 0 時 49 分 18 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:08:01 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 1 秒 (日本時間)

## 7×10145+839

### c143

name 名前 Cyp January 14, 2015 17:41:25 UTC 2015 年 1 月 15 日 (木) 2 時 41 分 25 秒 (日本時間) `26912725874663590926566705113417916186082276047673971549404075355632449058054594386774317570165321030372933487120338331410995770857362552864283<143>` ```57979950465575555976838511822807815112068388513351500824666399725473519<71> 464172971148750590757082869160710804081275271875742916784310906370622357<72>``` ```01/14/15 17:38:38 v1.34.3, 01/14/15 17:38:38 v1.34.3, **************************** 01/14/15 17:38:38 v1.34.3, Starting factorization of 26912725874663590926566705113417916186082276047673971549404075355632449058054594386774317570165321030372933487120338331410995770857362552864283 01/14/15 17:38:38 v1.34.3, using pretesting plan: none 01/14/15 17:38:38 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 01/14/15 17:38:38 v1.34.3, **************************** 01/14/15 17:38:38 v1.34.3, nfs: commencing nfs on c143: 26912725874663590926566705113417916186082276047673971549404075355632449058054594386774317570165321030372933487120338331410995770857362552864283 01/14/15 17:38:38 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 01/14/15 17:38:38 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/14/15 17:42:29 v1.34.3, nfs: commencing lattice sieving with 8 threads [11 lines snipped] 01/14/15 18:30:34 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/14/15 18:34:38 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/14/15 18:38:37 v1.34.3, nfs: commencing msieve filtering 01/14/15 18:39:27 v1.34.3, nfs: commencing msieve linear algebra 01/14/15 18:40:53 v1.34.3, nfs: commencing msieve sqrt 01/14/15 18:41:24 v1.34.3, prp71 = 57979950465575555976838511822807815112068388513351500824666399725473519 01/14/15 18:41:24 v1.34.3, prp72 = 464172971148750590757082869160710804081275271875742916784310906370622357 01/14/15 18:41:24 v1.34.3, NFS elapsed time = 3765.3833 seconds. 01/14/15 18:41:24 v1.34.3, 01/14/15 18:41:24 v1.34.3, 01/14/15 18:41:24 v1.34.3, Total factoring time = 3765.3839 seconds -- Wed Jan 14 18:38:37 2015 Wed Jan 14 18:38:37 2015 commencing relation filtering Wed Jan 14 18:38:37 2015 estimated available RAM is 15987.3 MB Wed Jan 14 18:38:37 2015 commencing duplicate removal, pass 1 Wed Jan 14 18:38:50 2015 found 556667 hash collisions in 4756584 relations Wed Jan 14 18:38:54 2015 added 185140 free relations Wed Jan 14 18:38:54 2015 commencing duplicate removal, pass 2 Wed Jan 14 18:38:58 2015 found 331423 duplicates and 4610301 unique relations Wed Jan 14 18:38:58 2015 memory use: 20.6 MB Wed Jan 14 18:38:58 2015 reading ideals above 100000 Wed Jan 14 18:38:58 2015 commencing singleton removal, initial pass Wed Jan 14 18:39:17 2015 memory use: 94.1 MB Wed Jan 14 18:39:17 2015 reading all ideals from disk Wed Jan 14 18:39:17 2015 memory use: 150.8 MB Wed Jan 14 18:39:17 2015 keeping 4775803 ideals with weight <= 200, target excess is 25270 Wed Jan 14 18:39:17 2015 commencing in-memory singleton removal Wed Jan 14 18:39:18 2015 begin with 4610301 relations and 4775803 unique ideals Wed Jan 14 18:39:19 2015 reduce to 2179433 relations and 1758268 ideals in 10 passes Wed Jan 14 18:39:19 2015 max relations containing the same ideal: 122 Wed Jan 14 18:39:19 2015 removing 623871 relations and 427945 ideals in 195926 cliques Wed Jan 14 18:39:19 2015 commencing in-memory singleton removal Wed Jan 14 18:39:19 2015 begin with 1555562 relations and 1758268 unique ideals Wed Jan 14 18:39:20 2015 reduce to 1445756 relations and 1209015 ideals in 8 passes Wed Jan 14 18:39:20 2015 max relations containing the same ideal: 94 Wed Jan 14 18:39:20 2015 removing 530906 relations and 334980 ideals in 195926 cliques Wed Jan 14 18:39:20 2015 commencing in-memory singleton removal Wed Jan 14 18:39:20 2015 begin with 914850 relations and 1209015 unique ideals Wed Jan 14 18:39:20 2015 reduce to 811817 relations and 757935 ideals in 9 passes Wed Jan 14 18:39:20 2015 max relations containing the same ideal: 64 Wed Jan 14 18:39:20 2015 removing 101494 relations and 76926 ideals in 24568 cliques Wed Jan 14 18:39:20 2015 commencing in-memory singleton removal Wed Jan 14 18:39:20 2015 begin with 710323 relations and 757935 unique ideals Wed Jan 14 18:39:20 2015 reduce to 698834 relations and 669167 ideals in 6 passes Wed Jan 14 18:39:20 2015 max relations containing the same ideal: 55 Wed Jan 14 18:39:21 2015 relations with 0 large ideals: 589 Wed Jan 14 18:39:21 2015 relations with 1 large ideals: 186 Wed Jan 14 18:39:21 2015 relations with 2 large ideals: 2928 Wed Jan 14 18:39:21 2015 relations with 3 large ideals: 21346 Wed Jan 14 18:39:21 2015 relations with 4 large ideals: 77883 Wed Jan 14 18:39:21 2015 relations with 5 large ideals: 162339 Wed Jan 14 18:39:21 2015 relations with 6 large ideals: 206909 Wed Jan 14 18:39:21 2015 relations with 7+ large ideals: 226654 Wed Jan 14 18:39:21 2015 commencing 2-way merge Wed Jan 14 18:39:21 2015 reduce to 444190 relation sets and 414523 unique ideals Wed Jan 14 18:39:21 2015 commencing full merge Wed Jan 14 18:39:25 2015 memory use: 54.0 MB Wed Jan 14 18:39:25 2015 found 224800 cycles, need 220723 Wed Jan 14 18:39:25 2015 weight of 220723 cycles is about 15725116 (71.24/cycle) Wed Jan 14 18:39:25 2015 distribution of cycle lengths: Wed Jan 14 18:39:25 2015 1 relations: 17595 Wed Jan 14 18:39:25 2015 2 relations: 20356 Wed Jan 14 18:39:25 2015 3 relations: 23051 Wed Jan 14 18:39:25 2015 4 relations: 23147 Wed Jan 14 18:39:25 2015 5 relations: 23041 Wed Jan 14 18:39:25 2015 6 relations: 21232 Wed Jan 14 18:39:25 2015 7 relations: 18952 Wed Jan 14 18:39:25 2015 8 relations: 16442 Wed Jan 14 18:39:25 2015 9 relations: 13842 Wed Jan 14 18:39:25 2015 10+ relations: 43065 Wed Jan 14 18:39:25 2015 heaviest cycle: 20 relations Wed Jan 14 18:39:25 2015 commencing cycle optimization Wed Jan 14 18:39:25 2015 start with 1379826 relations Wed Jan 14 18:39:26 2015 pruned 45025 relations Wed Jan 14 18:39:26 2015 memory use: 42.8 MB Wed Jan 14 18:39:26 2015 distribution of cycle lengths: Wed Jan 14 18:39:26 2015 1 relations: 17595 Wed Jan 14 18:39:26 2015 2 relations: 20809 Wed Jan 14 18:39:26 2015 3 relations: 23944 Wed Jan 14 18:39:26 2015 4 relations: 23923 Wed Jan 14 18:39:26 2015 5 relations: 24051 Wed Jan 14 18:39:26 2015 6 relations: 22008 Wed Jan 14 18:39:26 2015 7 relations: 19630 Wed Jan 14 18:39:26 2015 8 relations: 16640 Wed Jan 14 18:39:26 2015 9 relations: 13685 Wed Jan 14 18:39:26 2015 10+ relations: 38438 Wed Jan 14 18:39:26 2015 heaviest cycle: 20 relations Wed Jan 14 18:39:27 2015 RelProcTime: 50 Wed Jan 14 18:39:27 2015 Wed Jan 14 18:39:27 2015 commencing linear algebra Wed Jan 14 18:39:27 2015 read 220723 cycles Wed Jan 14 18:39:27 2015 cycles contain 680151 unique relations Wed Jan 14 18:39:31 2015 read 680151 relations Wed Jan 14 18:39:32 2015 using 20 quadratic characters above 67095488 Wed Jan 14 18:39:34 2015 building initial matrix Wed Jan 14 18:39:37 2015 memory use: 83.9 MB Wed Jan 14 18:39:37 2015 read 220723 cycles Wed Jan 14 18:39:37 2015 matrix is 220546 x 220723 (66.2 MB) with weight 19706309 (89.28/col) Wed Jan 14 18:39:37 2015 sparse part has weight 14916205 (67.58/col) Wed Jan 14 18:39:38 2015 filtering completed in 2 passes Wed Jan 14 18:39:38 2015 matrix is 220488 x 220665 (66.2 MB) with weight 19704232 (89.29/col) Wed Jan 14 18:39:38 2015 sparse part has weight 14915365 (67.59/col) Wed Jan 14 18:39:38 2015 matrix starts at (0, 0) Wed Jan 14 18:39:38 2015 matrix is 220488 x 220665 (66.2 MB) with weight 19704232 (89.29/col) Wed Jan 14 18:39:38 2015 sparse part has weight 14915365 (67.59/col) Wed Jan 14 18:39:38 2015 saving the first 48 matrix rows for later Wed Jan 14 18:39:38 2015 matrix includes 64 packed rows Wed Jan 14 18:39:38 2015 matrix is 220440 x 220665 (62.0 MB) with weight 15491001 (70.20/col) Wed Jan 14 18:39:38 2015 sparse part has weight 14042007 (63.63/col) Wed Jan 14 18:39:38 2015 using block size 65536 for processor cache size 8192 kB Wed Jan 14 18:39:39 2015 commencing Lanczos iteration (8 threads) Wed Jan 14 18:39:39 2015 memory use: 59.2 MB Wed Jan 14 18:39:43 2015 linear algebra at 5.5%, ETA 0h 1m Wed Jan 14 18:40:53 2015 lanczos halted after 3487 iterations (dim = 220438) Wed Jan 14 18:40:53 2015 recovered 34 nontrivial dependencies Wed Jan 14 18:40:53 2015 BLanczosTime: 86 Wed Jan 14 18:40:53 2015 Wed Jan 14 18:40:53 2015 commencing square root phase Wed Jan 14 18:40:53 2015 reading relations for dependency 1 Wed Jan 14 18:40:53 2015 read 110558 cycles Wed Jan 14 18:40:53 2015 cycles contain 340452 unique relations Wed Jan 14 18:40:57 2015 read 340452 relations Wed Jan 14 18:40:58 2015 multiplying 340452 relations Wed Jan 14 18:41:03 2015 multiply complete, coefficients have about 8.15 million bits Wed Jan 14 18:41:03 2015 initial square root is modulo 2367426491 Wed Jan 14 18:41:10 2015 GCD is N, no factor found Wed Jan 14 18:41:10 2015 reading relations for dependency 2 Wed Jan 14 18:41:10 2015 read 110329 cycles Wed Jan 14 18:41:10 2015 cycles contain 339556 unique relations Wed Jan 14 18:41:13 2015 read 339556 relations Wed Jan 14 18:41:14 2015 multiplying 339556 relations Wed Jan 14 18:41:18 2015 multiply complete, coefficients have about 8.13 million bits Wed Jan 14 18:41:18 2015 initial square root is modulo 2230137601 Wed Jan 14 18:41:23 2015 sqrtTime: 30 -- n: 26912725874663590926566705113417916186082276047673971549404075355632449058054594386774317570165321030372933487120338331410995770857362552864283 m: 100000000000000000000000000000 deg: 5 c5: 7 c0: 83 skew: 1.64 # Murphy_E = 2.078e-09 type: snfs lss: 1 rlim: 1890000 alim: 1890000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3``` `yafu v1.34.3` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:49:38 UTC 2015 年 1 月 9 日 (金) 0 時 49 分 38 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:08:02 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 2 秒 (日本時間)

## 7×10148+839

### c141

name 名前 Cyp January 14, 2015 23:47:20 UTC 2015 年 1 月 15 日 (木) 8 時 47 分 20 秒 (日本時間) `105683822576736491379433247824703463385233496078720280148367827574319132463724265689135996991115141408978141775811219246345440959703077012727<141>` ```11561454982493098090414486538064423999293<41> 9141048660118292517928952914608212008059855414936606926417102916184258039648644461913096130551427139<100>``` ```01/14/15 23:18:19 v1.34.3, 01/14/15 23:18:19 v1.34.3, **************************** 01/14/15 23:18:19 v1.34.3, Starting factorization of 105683822576736491379433247824703463385233496078720280148367827574319132463724265689135996991115141408978141775811219246345440959703077012727 01/14/15 23:18:19 v1.34.3, using pretesting plan: none 01/14/15 23:18:19 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 01/14/15 23:18:19 v1.34.3, **************************** 01/14/15 23:18:19 v1.34.3, nfs: commencing nfs on c141: 105683822576736491379433247824703463385233496078720280148367827574319132463724265689135996991115141408978141775811219246345440959703077012727 01/14/15 23:18:19 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 01/14/15 23:18:19 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/14/15 23:21:30 v1.34.3, nfs: commencing lattice sieving with 8 threads [23 lines snipped] 01/15/15 00:36:05 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/15/15 00:39:13 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/15/15 00:42:20 v1.34.3, nfs: commencing msieve filtering 01/15/15 00:43:10 v1.34.3, nfs: commencing msieve linear algebra 01/15/15 00:45:48 v1.34.3, nfs: commencing msieve sqrt 01/15/15 00:47:18 v1.34.3, prp41 = 11561454982493098090414486538064423999293 01/15/15 00:47:18 v1.34.3, prp100 = 9141048660118292517928952914608212008059855414936606926417102916184258039648644461913096130551427139 01/15/15 00:47:18 v1.34.3, NFS elapsed time = 5339.7723 seconds. 01/15/15 00:47:18 v1.34.3, 01/15/15 00:47:18 v1.34.3, 01/15/15 00:47:18 v1.34.3, Total factoring time = 5339.7733 seconds -- Thu Jan 15 00:42:20 2015 Thu Jan 15 00:42:20 2015 commencing relation filtering Thu Jan 15 00:42:20 2015 estimated available RAM is 15987.3 MB Thu Jan 15 00:42:20 2015 commencing duplicate removal, pass 1 Thu Jan 15 00:42:32 2015 found 574189 hash collisions in 4572938 relations Thu Jan 15 00:42:36 2015 added 185654 free relations Thu Jan 15 00:42:36 2015 commencing duplicate removal, pass 2 Thu Jan 15 00:42:40 2015 found 383019 duplicates and 4375573 unique relations Thu Jan 15 00:42:40 2015 memory use: 20.6 MB Thu Jan 15 00:42:40 2015 reading ideals above 100000 Thu Jan 15 00:42:40 2015 commencing singleton removal, initial pass Thu Jan 15 00:42:58 2015 memory use: 94.1 MB Thu Jan 15 00:42:58 2015 reading all ideals from disk Thu Jan 15 00:42:58 2015 memory use: 146.0 MB Thu Jan 15 00:42:58 2015 keeping 4836265 ideals with weight <= 200, target excess is 23825 Thu Jan 15 00:42:58 2015 commencing in-memory singleton removal Thu Jan 15 00:42:58 2015 begin with 4375573 relations and 4836265 unique ideals Thu Jan 15 00:43:00 2015 reduce to 1807873 relations and 1635960 ideals in 14 passes Thu Jan 15 00:43:00 2015 max relations containing the same ideal: 110 Thu Jan 15 00:43:00 2015 removing 358242 relations and 286104 ideals in 72138 cliques Thu Jan 15 00:43:00 2015 commencing in-memory singleton removal Thu Jan 15 00:43:00 2015 begin with 1449631 relations and 1635960 unique ideals Thu Jan 15 00:43:00 2015 reduce to 1393084 relations and 1290562 ideals in 8 passes Thu Jan 15 00:43:00 2015 max relations containing the same ideal: 90 Thu Jan 15 00:43:01 2015 removing 288337 relations and 216199 ideals in 72138 cliques Thu Jan 15 00:43:01 2015 commencing in-memory singleton removal Thu Jan 15 00:43:01 2015 begin with 1104747 relations and 1290562 unique ideals Thu Jan 15 00:43:01 2015 reduce to 1058594 relations and 1025904 ideals in 7 passes Thu Jan 15 00:43:01 2015 max relations containing the same ideal: 75 Thu Jan 15 00:43:01 2015 relations with 0 large ideals: 528 Thu Jan 15 00:43:01 2015 relations with 1 large ideals: 123 Thu Jan 15 00:43:01 2015 relations with 2 large ideals: 1835 Thu Jan 15 00:43:01 2015 relations with 3 large ideals: 16154 Thu Jan 15 00:43:01 2015 relations with 4 large ideals: 73431 Thu Jan 15 00:43:01 2015 relations with 5 large ideals: 191423 Thu Jan 15 00:43:01 2015 relations with 6 large ideals: 305644 Thu Jan 15 00:43:01 2015 relations with 7+ large ideals: 469456 Thu Jan 15 00:43:01 2015 commencing 2-way merge Thu Jan 15 00:43:01 2015 reduce to 643527 relation sets and 610837 unique ideals Thu Jan 15 00:43:01 2015 commencing full merge Thu Jan 15 00:43:08 2015 memory use: 79.8 MB Thu Jan 15 00:43:08 2015 found 321130 cycles, need 313037 Thu Jan 15 00:43:08 2015 weight of 313037 cycles is about 22289055 (71.20/cycle) Thu Jan 15 00:43:08 2015 distribution of cycle lengths: Thu Jan 15 00:43:08 2015 1 relations: 30347 Thu Jan 15 00:43:08 2015 2 relations: 31170 Thu Jan 15 00:43:08 2015 3 relations: 32551 Thu Jan 15 00:43:08 2015 4 relations: 31465 Thu Jan 15 00:43:08 2015 5 relations: 30036 Thu Jan 15 00:43:08 2015 6 relations: 27764 Thu Jan 15 00:43:08 2015 7 relations: 24806 Thu Jan 15 00:43:08 2015 8 relations: 21537 Thu Jan 15 00:43:08 2015 9 relations: 18524 Thu Jan 15 00:43:08 2015 10+ relations: 64837 Thu Jan 15 00:43:08 2015 heaviest cycle: 20 relations Thu Jan 15 00:43:08 2015 commencing cycle optimization Thu Jan 15 00:43:08 2015 start with 1950223 relations Thu Jan 15 00:43:10 2015 pruned 54473 relations Thu Jan 15 00:43:10 2015 memory use: 62.1 MB Thu Jan 15 00:43:10 2015 distribution of cycle lengths: Thu Jan 15 00:43:10 2015 1 relations: 30347 Thu Jan 15 00:43:10 2015 2 relations: 31821 Thu Jan 15 00:43:10 2015 3 relations: 33687 Thu Jan 15 00:43:10 2015 4 relations: 32311 Thu Jan 15 00:43:10 2015 5 relations: 31102 Thu Jan 15 00:43:10 2015 6 relations: 28542 Thu Jan 15 00:43:10 2015 7 relations: 25486 Thu Jan 15 00:43:10 2015 8 relations: 21780 Thu Jan 15 00:43:10 2015 9 relations: 18651 Thu Jan 15 00:43:10 2015 10+ relations: 59310 Thu Jan 15 00:43:10 2015 heaviest cycle: 20 relations Thu Jan 15 00:43:10 2015 RelProcTime: 50 Thu Jan 15 00:43:10 2015 Thu Jan 15 00:43:10 2015 commencing linear algebra Thu Jan 15 00:43:10 2015 read 313037 cycles Thu Jan 15 00:43:10 2015 cycles contain 1010525 unique relations Thu Jan 15 00:43:15 2015 read 1010525 relations Thu Jan 15 00:43:16 2015 using 20 quadratic characters above 67105502 Thu Jan 15 00:43:19 2015 building initial matrix Thu Jan 15 00:43:24 2015 memory use: 122.4 MB Thu Jan 15 00:43:24 2015 read 313037 cycles Thu Jan 15 00:43:24 2015 matrix is 312859 x 313037 (94.2 MB) with weight 28215344 (90.13/col) Thu Jan 15 00:43:24 2015 sparse part has weight 21252661 (67.89/col) Thu Jan 15 00:43:25 2015 filtering completed in 2 passes Thu Jan 15 00:43:25 2015 matrix is 312586 x 312764 (94.2 MB) with weight 28202919 (90.17/col) Thu Jan 15 00:43:25 2015 sparse part has weight 21246493 (67.93/col) Thu Jan 15 00:43:25 2015 matrix starts at (0, 0) Thu Jan 15 00:43:25 2015 matrix is 312586 x 312764 (94.2 MB) with weight 28202919 (90.17/col) Thu Jan 15 00:43:25 2015 sparse part has weight 21246493 (67.93/col) Thu Jan 15 00:43:25 2015 saving the first 48 matrix rows for later Thu Jan 15 00:43:25 2015 matrix includes 64 packed rows Thu Jan 15 00:43:25 2015 matrix is 312538 x 312764 (88.6 MB) with weight 22246479 (71.13/col) Thu Jan 15 00:43:25 2015 sparse part has weight 20101381 (64.27/col) Thu Jan 15 00:43:25 2015 using block size 65536 for processor cache size 8192 kB Thu Jan 15 00:43:26 2015 commencing Lanczos iteration (8 threads) Thu Jan 15 00:43:26 2015 memory use: 85.0 MB Thu Jan 15 00:43:32 2015 linear algebra at 3.9%, ETA 0h 2m Thu Jan 15 00:45:48 2015 lanczos halted after 4943 iterations (dim = 312534) Thu Jan 15 00:45:48 2015 recovered 34 nontrivial dependencies Thu Jan 15 00:45:48 2015 BLanczosTime: 158 Thu Jan 15 00:45:48 2015 Thu Jan 15 00:45:48 2015 commencing square root phase Thu Jan 15 00:45:48 2015 reading relations for dependency 1 Thu Jan 15 00:45:48 2015 read 156660 cycles Thu Jan 15 00:45:48 2015 cycles contain 506514 unique relations Thu Jan 15 00:45:52 2015 read 506514 relations Thu Jan 15 00:45:53 2015 multiplying 506514 relations Thu Jan 15 00:46:03 2015 multiply complete, coefficients have about 16.77 million bits Thu Jan 15 00:46:03 2015 initial square root is modulo 65651 Thu Jan 15 00:46:19 2015 GCD is N, no factor found Thu Jan 15 00:46:19 2015 reading relations for dependency 2 Thu Jan 15 00:46:19 2015 read 155868 cycles Thu Jan 15 00:46:19 2015 cycles contain 504058 unique relations Thu Jan 15 00:46:23 2015 read 504058 relations Thu Jan 15 00:46:24 2015 multiplying 504058 relations Thu Jan 15 00:46:34 2015 multiply complete, coefficients have about 16.69 million bits Thu Jan 15 00:46:34 2015 initial square root is modulo 62081 Thu Jan 15 00:46:47 2015 GCD is N, no factor found Thu Jan 15 00:46:47 2015 reading relations for dependency 3 Thu Jan 15 00:46:47 2015 read 156718 cycles Thu Jan 15 00:46:47 2015 cycles contain 506982 unique relations Thu Jan 15 00:46:51 2015 read 506982 relations Thu Jan 15 00:46:52 2015 multiplying 506982 relations Thu Jan 15 00:47:02 2015 multiply complete, coefficients have about 16.78 million bits Thu Jan 15 00:47:02 2015 initial square root is modulo 66191 Thu Jan 15 00:47:18 2015 sqrtTime: 90 -- n: 105683822576736491379433247824703463385233496078720280148367827574319132463724265689135996991115141408978141775811219246345440959703077012727 m: 100000000000000000000000000000 deg: 5 c5: 7000 c0: 83 skew: 0.41 # Murphy_E = 1.156e-09 type: snfs lss: 1 rlim: 2100000 alim: 2100000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3``` `yafu v1.34.3` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:49:57 UTC 2015 年 1 月 9 日 (金) 0 時 49 分 57 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:08:02 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 2 秒 (日本時間)

## 7×10150+839

### c111

name 名前 KTakahashi January 8, 2015 15:51:07 UTC 2015 年 1 月 9 日 (金) 0 時 51 分 7 秒 (日本時間) `489874804739685489227527098079192222224416442779027541274979414074476063073121085480679565473208983014406313833<111>` ```420742723278509728899189740981<30> 1164309630651446655299792201273506616344382790640694938976908266761681604175694693<82>``` ```GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM] Input number is 489874804739685489227527098079192222224416442779027541274979414074476063073121085480679565473208983014406313833 (111 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1005039971 Step 1 took 2574ms Step 2 took 1700ms ********** Factor found in step 2: 420742723278509728899189740981 Found probable prime factor of 30 digits: 420742723278509728899189740981 Probable prime cofactor 1164309630651446655299792201273506616344382790640694938976908266761681604175694693 has 82 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

## 7×10155+839

### c113

name 名前 Cyp January 18, 2015 16:44:04 UTC 2015 年 1 月 19 日 (月) 1 時 44 分 4 秒 (日本時間) `50227037619000087711521065443510296627261759467158901100858838513909932588161504613752691587604898847027452362509<113>` ```1109753662339808722547794012786747512485414921<46> 45259627720535038372162026541507150286524287926733178416679831033829<68>``` ```01/18/15 15:19:57 v1.34.3, 01/18/15 15:19:57 v1.34.3, **************************** 01/18/15 15:19:57 v1.34.3, Starting factorization of 50227037619000087711521065443510296627261759467158901100858838513909932588161504613752691587604898847027452362509 01/18/15 15:19:57 v1.34.3, using pretesting plan: none 01/18/15 15:19:57 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 01/18/15 15:19:57 v1.34.3, **************************** 01/18/15 15:19:57 v1.34.3, nfs: commencing nfs on c113: 50227037619000087711521065443510296627261759467158901100858838513909932588161504613752691587604898847027452362509 01/18/15 15:19:57 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 01/18/15 15:19:57 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/18/15 15:20:44 v1.34.3, nfs: commencing lattice sieving with 8 threads [159 lines snipped] 01/18/15 17:35:11 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/18/15 17:36:05 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/18/15 17:36:55 v1.34.3, nfs: commencing msieve filtering 01/18/15 17:38:37 v1.34.3, nfs: commencing msieve linear algebra 01/18/15 17:43:33 v1.34.3, nfs: commencing msieve sqrt 01/18/15 17:44:03 v1.34.3, prp46 = 1109753662339808722547794012786747512485414921 01/18/15 17:44:03 v1.34.3, prp68 = 45259627720535038372162026541507150286524287926733178416679831033829 01/18/15 17:44:03 v1.34.3, NFS elapsed time = 8646.4255 seconds. 01/18/15 17:44:03 v1.34.3, 01/18/15 17:44:03 v1.34.3, 01/18/15 17:44:03 v1.34.3, Total factoring time = 8646.4260 seconds -- Sun Jan 18 17:36:55 2015 Sun Jan 18 17:36:55 2015 commencing relation filtering Sun Jan 18 17:36:55 2015 estimated available RAM is 15987.3 MB Sun Jan 18 17:36:55 2015 commencing duplicate removal, pass 1 Sun Jan 18 17:37:22 2015 found 1610077 hash collisions in 10084964 relations Sun Jan 18 17:37:30 2015 added 356721 free relations Sun Jan 18 17:37:30 2015 commencing duplicate removal, pass 2 Sun Jan 18 17:37:38 2015 found 1261032 duplicates and 9180653 unique relations Sun Jan 18 17:37:38 2015 memory use: 41.3 MB Sun Jan 18 17:37:38 2015 reading ideals above 100000 Sun Jan 18 17:37:38 2015 commencing singleton removal, initial pass Sun Jan 18 17:38:17 2015 memory use: 188.2 MB Sun Jan 18 17:38:17 2015 reading all ideals from disk Sun Jan 18 17:38:17 2015 memory use: 310.5 MB Sun Jan 18 17:38:18 2015 keeping 9564631 ideals with weight <= 200, target excess is 46624 Sun Jan 18 17:38:18 2015 commencing in-memory singleton removal Sun Jan 18 17:38:18 2015 begin with 9180653 relations and 9564631 unique ideals Sun Jan 18 17:38:21 2015 reduce to 4247675 relations and 3470434 ideals in 13 passes Sun Jan 18 17:38:21 2015 max relations containing the same ideal: 120 Sun Jan 18 17:38:22 2015 removing 1230674 relations and 869095 ideals in 361579 cliques Sun Jan 18 17:38:22 2015 commencing in-memory singleton removal Sun Jan 18 17:38:23 2015 begin with 3017001 relations and 3470434 unique ideals Sun Jan 18 17:38:23 2015 reduce to 2776030 relations and 2334857 ideals in 9 passes Sun Jan 18 17:38:23 2015 max relations containing the same ideal: 89 Sun Jan 18 17:38:24 2015 removing 1029932 relations and 668353 ideals in 361579 cliques Sun Jan 18 17:38:24 2015 commencing in-memory singleton removal Sun Jan 18 17:38:24 2015 begin with 1746098 relations and 2334857 unique ideals Sun Jan 18 17:38:25 2015 reduce to 1533324 relations and 1425682 ideals in 9 passes Sun Jan 18 17:38:25 2015 max relations containing the same ideal: 61 Sun Jan 18 17:38:25 2015 removing 221988 relations and 168430 ideals in 53558 cliques Sun Jan 18 17:38:25 2015 commencing in-memory singleton removal Sun Jan 18 17:38:25 2015 begin with 1311336 relations and 1425682 unique ideals Sun Jan 18 17:38:26 2015 reduce to 1286436 relations and 1231484 ideals in 7 passes Sun Jan 18 17:38:26 2015 max relations containing the same ideal: 58 Sun Jan 18 17:38:26 2015 relations with 0 large ideals: 1101 Sun Jan 18 17:38:26 2015 relations with 1 large ideals: 641 Sun Jan 18 17:38:26 2015 relations with 2 large ideals: 10382 Sun Jan 18 17:38:26 2015 relations with 3 large ideals: 64052 Sun Jan 18 17:38:26 2015 relations with 4 large ideals: 200240 Sun Jan 18 17:38:26 2015 relations with 5 large ideals: 347723 Sun Jan 18 17:38:26 2015 relations with 6 large ideals: 365359 Sun Jan 18 17:38:26 2015 relations with 7+ large ideals: 296938 Sun Jan 18 17:38:26 2015 commencing 2-way merge Sun Jan 18 17:38:26 2015 reduce to 808575 relation sets and 753623 unique ideals Sun Jan 18 17:38:26 2015 commencing full merge Sun Jan 18 17:38:34 2015 memory use: 97.0 MB Sun Jan 18 17:38:34 2015 found 419713 cycles, need 411823 Sun Jan 18 17:38:34 2015 weight of 411823 cycles is about 28962083 (70.33/cycle) Sun Jan 18 17:38:34 2015 distribution of cycle lengths: Sun Jan 18 17:38:34 2015 1 relations: 30202 Sun Jan 18 17:38:34 2015 2 relations: 39628 Sun Jan 18 17:38:34 2015 3 relations: 44551 Sun Jan 18 17:38:34 2015 4 relations: 43856 Sun Jan 18 17:38:34 2015 5 relations: 42978 Sun Jan 18 17:38:34 2015 6 relations: 39757 Sun Jan 18 17:38:34 2015 7 relations: 36068 Sun Jan 18 17:38:34 2015 8 relations: 30620 Sun Jan 18 17:38:34 2015 9 relations: 25603 Sun Jan 18 17:38:34 2015 10+ relations: 78560 Sun Jan 18 17:38:34 2015 heaviest cycle: 20 relations Sun Jan 18 17:38:34 2015 commencing cycle optimization Sun Jan 18 17:38:34 2015 start with 2553225 relations Sun Jan 18 17:38:37 2015 pruned 78709 relations Sun Jan 18 17:38:37 2015 memory use: 79.1 MB Sun Jan 18 17:38:37 2015 distribution of cycle lengths: Sun Jan 18 17:38:37 2015 1 relations: 30202 Sun Jan 18 17:38:37 2015 2 relations: 40554 Sun Jan 18 17:38:37 2015 3 relations: 46103 Sun Jan 18 17:38:37 2015 4 relations: 45399 Sun Jan 18 17:38:37 2015 5 relations: 44680 Sun Jan 18 17:38:37 2015 6 relations: 40883 Sun Jan 18 17:38:37 2015 7 relations: 37217 Sun Jan 18 17:38:37 2015 8 relations: 31030 Sun Jan 18 17:38:37 2015 9 relations: 25548 Sun Jan 18 17:38:37 2015 10+ relations: 70207 Sun Jan 18 17:38:37 2015 heaviest cycle: 19 relations Sun Jan 18 17:38:37 2015 RelProcTime: 102 Sun Jan 18 17:38:37 2015 Sun Jan 18 17:38:37 2015 commencing linear algebra Sun Jan 18 17:38:37 2015 read 411823 cycles Sun Jan 18 17:38:37 2015 cycles contain 1250137 unique relations Sun Jan 18 17:38:46 2015 read 1250137 relations Sun Jan 18 17:38:47 2015 using 20 quadratic characters above 134216114 Sun Jan 18 17:38:51 2015 building initial matrix Sun Jan 18 17:38:57 2015 memory use: 153.5 MB Sun Jan 18 17:38:58 2015 read 411823 cycles Sun Jan 18 17:38:58 2015 matrix is 411646 x 411823 (122.7 MB) with weight 36452664 (88.52/col) Sun Jan 18 17:38:58 2015 sparse part has weight 27622740 (67.07/col) Sun Jan 18 17:38:59 2015 filtering completed in 2 passes Sun Jan 18 17:38:59 2015 matrix is 411554 x 411731 (122.6 MB) with weight 36449509 (88.53/col) Sun Jan 18 17:38:59 2015 sparse part has weight 27621568 (67.09/col) Sun Jan 18 17:39:00 2015 matrix starts at (0, 0) Sun Jan 18 17:39:00 2015 matrix is 411554 x 411731 (122.6 MB) with weight 36449509 (88.53/col) Sun Jan 18 17:39:00 2015 sparse part has weight 27621568 (67.09/col) Sun Jan 18 17:39:00 2015 saving the first 48 matrix rows for later Sun Jan 18 17:39:00 2015 matrix includes 64 packed rows Sun Jan 18 17:39:00 2015 matrix is 411506 x 411731 (115.1 MB) with weight 28668164 (69.63/col) Sun Jan 18 17:39:00 2015 sparse part has weight 26054991 (63.28/col) Sun Jan 18 17:39:00 2015 using block size 65536 for processor cache size 8192 kB Sun Jan 18 17:39:01 2015 commencing Lanczos iteration (8 threads) Sun Jan 18 17:39:01 2015 memory use: 110.9 MB Sun Jan 18 17:39:09 2015 linear algebra at 2.9%, ETA 0h 4m Sun Jan 18 17:43:32 2015 lanczos halted after 6511 iterations (dim = 411504) Sun Jan 18 17:43:33 2015 recovered 37 nontrivial dependencies Sun Jan 18 17:43:33 2015 BLanczosTime: 296 Sun Jan 18 17:43:33 2015 Sun Jan 18 17:43:33 2015 commencing square root phase Sun Jan 18 17:43:33 2015 reading relations for dependency 1 Sun Jan 18 17:43:33 2015 read 206377 cycles Sun Jan 18 17:43:33 2015 cycles contain 626192 unique relations Sun Jan 18 17:43:41 2015 read 626192 relations Sun Jan 18 17:43:42 2015 multiplying 626192 relations Sun Jan 18 17:43:51 2015 multiply complete, coefficients have about 14.80 million bits Sun Jan 18 17:43:51 2015 initial square root is modulo 316914041 Sun Jan 18 17:44:03 2015 sqrtTime: 30 -- n: 50227037619000087711521065443510296627261759467158901100858838513909932588161504613752691587604898847027452362509 m: 10000000000000000000000000000000 deg: 5 c5: 7 c0: 83 skew: 1.64 # Murphy_E = 8.668e-10 type: snfs lss: 1 rlim: 2800000 alim: 2800000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4``` `yafu v1.34.3` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6330 / 2318Pierre JammesJanuary 9, 2015 20:36:37 UTC 2015 年 1 月 10 日 (土) 5 時 36 分 37 秒 (日本時間)

## 7×10156+839

### c151

name 名前 Cyp January 12, 2015 17:48:50 UTC 2015 年 1 月 13 日 (火) 2 時 48 分 50 秒 (日本時間) `5216029305142930380166570170124521522454633585118519363018501255945341974058450824393431677840146585326415388180626623954838127981985325074123502161299<151>` ```117038298963594655455519828537442234050961637<45> 44566858467119401811599598024529939063063111202033452260440540624433041922286811163863701914679478321538327<107>``` ```01/12/15 15:39:42 v1.34.3, 01/12/15 15:39:42 v1.34.3, **************************** 01/12/15 15:39:42 v1.34.3, Starting factorization of 5216029305142930380166570170124521522454633585118519363018501255945341974058450824393431677840146585326415388180626623954838127981985325074123502161299 01/12/15 15:39:42 v1.34.3, using pretesting plan: none 01/12/15 15:39:42 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 01/12/15 15:39:42 v1.34.3, **************************** 01/12/15 15:39:42 v1.34.3, nfs: commencing nfs on c151: 5216029305142930380166570170124521522454633585118519363018501255945341974058450824393431677840146585326415388180626623954838127981985325074123502161299 01/12/15 15:39:42 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 01/12/15 15:39:42 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/12/15 15:43:49 v1.34.3, nfs: commencing lattice sieving with 8 threads [38 lines snipped] 01/12/15 18:29:59 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/12/15 18:34:24 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/12/15 18:38:51 v1.34.3, nfs: commencing msieve filtering 01/12/15 18:40:39 v1.34.3, nfs: commencing msieve linear algebra 01/12/15 18:45:53 v1.34.3, nfs: commencing msieve sqrt 01/12/15 18:48:49 v1.34.3, prp107 = 44566858467119401811599598024529939063063111202033452260440540624433041922286811163863701914679478321538327 01/12/15 18:48:49 v1.34.3, prp45 = 117038298963594655455519828537442234050961637 01/12/15 18:48:49 v1.34.3, NFS elapsed time = 11347.6940 seconds. 01/12/15 18:48:49 v1.34.3, 01/12/15 18:48:49 v1.34.3, 01/12/15 18:48:49 v1.34.3, Total factoring time = 11347.6950 seconds -- Mon Jan 12 18:38:51 2015 Mon Jan 12 18:38:51 2015 commencing relation filtering Mon Jan 12 18:38:51 2015 estimated available RAM is 15987.3 MB Mon Jan 12 18:38:51 2015 commencing duplicate removal, pass 1 Mon Jan 12 18:39:18 2015 found 1401961 hash collisions in 10185321 relations Mon Jan 12 18:39:27 2015 added 359033 free relations Mon Jan 12 18:39:27 2015 commencing duplicate removal, pass 2 Mon Jan 12 18:39:35 2015 found 957538 duplicates and 9586816 unique relations Mon Jan 12 18:39:35 2015 memory use: 41.3 MB Mon Jan 12 18:39:35 2015 reading ideals above 100000 Mon Jan 12 18:39:35 2015 commencing singleton removal, initial pass Mon Jan 12 18:40:17 2015 memory use: 188.2 MB Mon Jan 12 18:40:17 2015 reading all ideals from disk Mon Jan 12 18:40:17 2015 memory use: 334.1 MB Mon Jan 12 18:40:18 2015 keeping 9763191 ideals with weight <= 200, target excess is 51853 Mon Jan 12 18:40:18 2015 commencing in-memory singleton removal Mon Jan 12 18:40:19 2015 begin with 9586816 relations and 9763191 unique ideals Mon Jan 12 18:40:22 2015 reduce to 4671918 relations and 3747209 ideals in 13 passes Mon Jan 12 18:40:22 2015 max relations containing the same ideal: 126 Mon Jan 12 18:40:23 2015 removing 1307244 relations and 907244 ideals in 400000 cliques Mon Jan 12 18:40:23 2015 commencing in-memory singleton removal Mon Jan 12 18:40:23 2015 begin with 3364674 relations and 3747209 unique ideals Mon Jan 12 18:40:24 2015 reduce to 3127009 relations and 2577658 ideals in 9 passes Mon Jan 12 18:40:24 2015 max relations containing the same ideal: 96 Mon Jan 12 18:40:25 2015 removing 1107987 relations and 707987 ideals in 400000 cliques Mon Jan 12 18:40:25 2015 commencing in-memory singleton removal Mon Jan 12 18:40:25 2015 begin with 2019022 relations and 2577658 unique ideals Mon Jan 12 18:40:26 2015 reduce to 1800977 relations and 1624669 ideals in 10 passes Mon Jan 12 18:40:26 2015 max relations containing the same ideal: 70 Mon Jan 12 18:40:27 2015 removing 396343 relations and 280185 ideals in 116158 cliques Mon Jan 12 18:40:27 2015 commencing in-memory singleton removal Mon Jan 12 18:40:27 2015 begin with 1404634 relations and 1624669 unique ideals Mon Jan 12 18:40:27 2015 reduce to 1336498 relations and 1271914 ideals in 8 passes Mon Jan 12 18:40:27 2015 max relations containing the same ideal: 56 Mon Jan 12 18:40:27 2015 relations with 0 large ideals: 1181 Mon Jan 12 18:40:27 2015 relations with 1 large ideals: 612 Mon Jan 12 18:40:27 2015 relations with 2 large ideals: 8933 Mon Jan 12 18:40:27 2015 relations with 3 large ideals: 58565 Mon Jan 12 18:40:27 2015 relations with 4 large ideals: 192161 Mon Jan 12 18:40:27 2015 relations with 5 large ideals: 348289 Mon Jan 12 18:40:27 2015 relations with 6 large ideals: 383641 Mon Jan 12 18:40:27 2015 relations with 7+ large ideals: 343116 Mon Jan 12 18:40:27 2015 commencing 2-way merge Mon Jan 12 18:40:28 2015 reduce to 828007 relation sets and 763423 unique ideals Mon Jan 12 18:40:28 2015 commencing full merge Mon Jan 12 18:40:35 2015 memory use: 99.7 MB Mon Jan 12 18:40:36 2015 found 425720 cycles, need 413623 Mon Jan 12 18:40:36 2015 weight of 413623 cycles is about 29269381 (70.76/cycle) Mon Jan 12 18:40:36 2015 distribution of cycle lengths: Mon Jan 12 18:40:36 2015 1 relations: 35437 Mon Jan 12 18:40:36 2015 2 relations: 40203 Mon Jan 12 18:40:36 2015 3 relations: 43717 Mon Jan 12 18:40:36 2015 4 relations: 43877 Mon Jan 12 18:40:36 2015 5 relations: 43590 Mon Jan 12 18:40:36 2015 6 relations: 40327 Mon Jan 12 18:40:36 2015 7 relations: 36163 Mon Jan 12 18:40:36 2015 8 relations: 30887 Mon Jan 12 18:40:36 2015 9 relations: 25395 Mon Jan 12 18:40:36 2015 10+ relations: 74027 Mon Jan 12 18:40:36 2015 heaviest cycle: 19 relations Mon Jan 12 18:40:36 2015 commencing cycle optimization Mon Jan 12 18:40:36 2015 start with 2498268 relations Mon Jan 12 18:40:38 2015 pruned 77637 relations Mon Jan 12 18:40:38 2015 memory use: 79.2 MB Mon Jan 12 18:40:38 2015 distribution of cycle lengths: Mon Jan 12 18:40:38 2015 1 relations: 35437 Mon Jan 12 18:40:38 2015 2 relations: 41096 Mon Jan 12 18:40:38 2015 3 relations: 45315 Mon Jan 12 18:40:38 2015 4 relations: 45446 Mon Jan 12 18:40:38 2015 5 relations: 45312 Mon Jan 12 18:40:38 2015 6 relations: 41650 Mon Jan 12 18:40:38 2015 7 relations: 37319 Mon Jan 12 18:40:38 2015 8 relations: 31405 Mon Jan 12 18:40:38 2015 9 relations: 25507 Mon Jan 12 18:40:38 2015 10+ relations: 65136 Mon Jan 12 18:40:38 2015 heaviest cycle: 19 relations Mon Jan 12 18:40:39 2015 RelProcTime: 108 Mon Jan 12 18:40:39 2015 Mon Jan 12 18:40:39 2015 commencing linear algebra Mon Jan 12 18:40:39 2015 read 413623 cycles Mon Jan 12 18:40:39 2015 cycles contain 1276527 unique relations Mon Jan 12 18:40:48 2015 read 1276527 relations Mon Jan 12 18:40:49 2015 using 20 quadratic characters above 134211170 Mon Jan 12 18:40:53 2015 building initial matrix Mon Jan 12 18:40:59 2015 memory use: 158.3 MB Mon Jan 12 18:41:00 2015 read 413623 cycles Mon Jan 12 18:41:00 2015 matrix is 413446 x 413623 (123.7 MB) with weight 36713063 (88.76/col) Mon Jan 12 18:41:00 2015 sparse part has weight 27886240 (67.42/col) Mon Jan 12 18:41:01 2015 filtering completed in 2 passes Mon Jan 12 18:41:01 2015 matrix is 413224 x 413401 (123.7 MB) with weight 36703137 (88.78/col) Mon Jan 12 18:41:01 2015 sparse part has weight 27881182 (67.44/col) Mon Jan 12 18:41:02 2015 matrix starts at (0, 0) Mon Jan 12 18:41:02 2015 matrix is 413224 x 413401 (123.7 MB) with weight 36703137 (88.78/col) Mon Jan 12 18:41:02 2015 sparse part has weight 27881182 (67.44/col) Mon Jan 12 18:41:02 2015 saving the first 48 matrix rows for later Mon Jan 12 18:41:02 2015 matrix includes 64 packed rows Mon Jan 12 18:41:02 2015 matrix is 413176 x 413401 (116.3 MB) with weight 28912761 (69.94/col) Mon Jan 12 18:41:02 2015 sparse part has weight 26364380 (63.77/col) Mon Jan 12 18:41:02 2015 using block size 65536 for processor cache size 8192 kB Mon Jan 12 18:41:03 2015 commencing Lanczos iteration (8 threads) Mon Jan 12 18:41:03 2015 memory use: 112.5 MB Mon Jan 12 18:41:11 2015 linear algebra at 2.9%, ETA 0h 4m Mon Jan 12 18:45:52 2015 lanczos halted after 6537 iterations (dim = 413172) Mon Jan 12 18:45:53 2015 recovered 34 nontrivial dependencies Mon Jan 12 18:45:53 2015 BLanczosTime: 314 Mon Jan 12 18:45:53 2015 Mon Jan 12 18:45:53 2015 commencing square root phase Mon Jan 12 18:45:53 2015 reading relations for dependency 1 Mon Jan 12 18:45:53 2015 read 206464 cycles Mon Jan 12 18:45:53 2015 cycles contain 637150 unique relations Mon Jan 12 18:46:01 2015 read 637150 relations Mon Jan 12 18:46:02 2015 multiplying 637150 relations Mon Jan 12 18:46:13 2015 multiply complete, coefficients have about 17.48 million bits Mon Jan 12 18:46:13 2015 initial square root is modulo 105251 Mon Jan 12 18:46:27 2015 GCD is N, no factor found Mon Jan 12 18:46:27 2015 reading relations for dependency 2 Mon Jan 12 18:46:27 2015 read 206448 cycles Mon Jan 12 18:46:27 2015 cycles contain 637730 unique relations Mon Jan 12 18:46:35 2015 read 637730 relations Mon Jan 12 18:46:36 2015 multiplying 637730 relations Mon Jan 12 18:46:48 2015 multiply complete, coefficients have about 17.50 million bits Mon Jan 12 18:46:48 2015 initial square root is modulo 106291 Mon Jan 12 18:47:02 2015 GCD is 1, no factor found Mon Jan 12 18:47:02 2015 reading relations for dependency 3 Mon Jan 12 18:47:02 2015 read 206747 cycles Mon Jan 12 18:47:02 2015 cycles contain 638480 unique relations Mon Jan 12 18:47:10 2015 read 638480 relations Mon Jan 12 18:47:11 2015 multiplying 638480 relations Mon Jan 12 18:47:23 2015 multiply complete, coefficients have about 17.52 million bits Mon Jan 12 18:47:23 2015 initial square root is modulo 107881 Mon Jan 12 18:47:37 2015 GCD is N, no factor found Mon Jan 12 18:47:37 2015 reading relations for dependency 4 Mon Jan 12 18:47:37 2015 read 206710 cycles Mon Jan 12 18:47:37 2015 cycles contain 638430 unique relations Mon Jan 12 18:47:45 2015 read 638430 relations Mon Jan 12 18:47:47 2015 multiplying 638430 relations Mon Jan 12 18:47:59 2015 multiply complete, coefficients have about 17.52 million bits Mon Jan 12 18:47:59 2015 initial square root is modulo 107641 Mon Jan 12 18:48:13 2015 GCD is 1, no factor found Mon Jan 12 18:48:13 2015 reading relations for dependency 5 Mon Jan 12 18:48:13 2015 read 206763 cycles Mon Jan 12 18:48:13 2015 cycles contain 636584 unique relations Mon Jan 12 18:48:21 2015 read 636584 relations Mon Jan 12 18:48:22 2015 multiplying 636584 relations Mon Jan 12 18:48:33 2015 multiply complete, coefficients have about 17.47 million bits Mon Jan 12 18:48:33 2015 initial square root is modulo 104231 Mon Jan 12 18:48:49 2015 sqrtTime: 176 -- n: 5216029305142930380166570170124521522454633585118519363018501255945341974058450824393431677840146585326415388180626623954838127981985325074123502161299 m: 10000000000000000000000000000000 deg: 5 c5: 70 c0: 83 skew: 1.03 # Murphy_E = 6.215e-10 type: snfs lss: 1 rlim: 2900000 alim: 2900000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4``` `yafu v1.34.3` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:08:03 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 3 秒 (日本時間)

## 7×10157+839

### c116

name 名前 Ignacio Santos January 13, 2015 14:27:17 UTC 2015 年 1 月 13 日 (火) 23 時 27 分 17 秒 (日本時間) `65909269609884575477570800394180791741055789022514312357975560034090098846510633798277204783025304091441077020478517<116>` ```81263604640047120288061450808941217<35> 811055206101504265275544859924107554981594738449300568029107700132444356918426901<81>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3089984299 Step 1 took 4484ms Step 2 took 3625ms ********** Factor found in step 2: 81263604640047120288061450808941217 Found probable prime factor of 35 digits: 81263604640047120288061450808941217 Probable prime cofactor 811055206101504265275544859924107554981594738449300568029107700132444356918426901 has 81 digits``` `GMP-ECM 7.0`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 562Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6122 / 2318Pierre JammesJanuary 9, 2015 21:17:06 UTC 2015 年 1 月 10 日 (土) 6 時 17 分 6 秒 (日本時間)

## 7×10159+839

### c122

name 名前 Jo Yeong Uk January 20, 2015 21:58:48 UTC 2015 年 1 月 21 日 (水) 6 時 58 分 48 秒 (日本時間) `29528518274243028953668929258750399624361863584442220692001349067000204576329255242834517848254426375084991311398008513213<122>` ```9148894349350877012960908129150035976986930777359<49> 3227550471859816170768438654338400463057434194335320407174806845502696307<73>``` ```Number: 77787_159 N=29528518274243028953668929258750399624361863584442220692001349067000204576329255242834517848254426375084991311398008513213 ( 122 digits) SNFS difficulty: 160 digits. Divisors found: r1=9148894349350877012960908129150035976986930777359 r2=3227550471859816170768438654338400463057434194335320407174806845502696307 Version: Total time: 9.37 hours. Scaled time: 49.22 units (timescale=5.254). Factorization parameters were as follows: n: 29528518274243028953668929258750399624361863584442220692001349067000204576329255242834517848254426375084991311398008513213 m: 100000000000000000000000000000000 deg: 5 c5: 7 c0: 830 skew: 2.60 # Murphy_E = 5.12e-10 type: snfs lss: 1 rlim: 3300000 alim: 3300000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 3300000/3300000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved rational special-q in [1650000, 3000001) Primes: rational ideals reading, algebraic ideals reading, Relations: 9443423 Max relations in full relation-set: Initial matrix: Pruned matrix : 585638 x 585886 Total sieving time: 8.58 hours. Total relation processing time: 0.41 hours. Matrix solve time: 0.32 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: snfs,160,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,75000 total time: 9.37 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120) Total of 12 processors activated (81602.88 BogoMIPS).``` `GGNFS / Msieve v1.39` `Core i7-4930K`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e60--
4511e6672 / 4475Pierre JammesJanuary 10, 2015 08:25:04 UTC 2015 年 1 月 10 日 (土) 17 時 25 分 4 秒 (日本時間)

## 7×10162+839

### c117

name 名前 Jo Yeong Uk January 24, 2015 23:34:43 UTC 2015 年 1 月 25 日 (日) 8 時 34 分 43 秒 (日本時間) `191382910364659302191216012728458009047245993756854520146524514472846137210792910316755707746788430245219242470805047<117>` ```1207376484482113079379187815916721896131745656940529<52> 158511378036942860988492576135389320558784449763211225530983448743<66>``` ```Number: 77787_162 N=191382910364659302191216012728458009047245993756854520146524514472846137210792910316755707746788430245219242470805047 ( 117 digits) Divisors found: r1=1207376484482113079379187815916721896131745656940529 r2=158511378036942860988492576135389320558784449763211225530983448743 Version: Total time: 11.33 hours. Scaled time: 59.54 units (timescale=5.254). Factorization parameters were as follows: name: 77787_162 n: 191382910364659302191216012728458009047245993756854520146524514472846137210792910316755707746788430245219242470805047 skew: 51916.78 # norm 3.18e+16 c5: 67320 c4: -15612328381 c3: 206091059849671 c2: 14755635897093875348 c1: -686150520940903099869567 c0: -9776967305566709382795825255 # alpha -6.96 Y1: 1926213678097 Y0: -19532318435889341945062 # Murphy_E 4.53e-10 # M 178882869633173412625233795094368505697160273141736211106013873576157152282186198498589820387738381867008469579311773 type: gnfs rlim: 3300000 alim: 3300000 lpbr: 27 lpba: 27 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 qintsize: 75000 Factor base limits: 3300000/3300000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 53/53 Sieved algebraic special-q in [1650000, 2850001) Primes: rational ideals reading, algebraic ideals reading, Relations: 9729759 Max relations in full relation-set: Initial matrix: Pruned matrix : 554442 x 554690 Polynomial selection time: 1.73 hours. Total sieving time: 8.89 hours. Total relation processing time: 0.36 hours. Matrix solve time: 0.29 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: gnfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3300000,3300000,27,27,53,53,2.5,2.5,75000 total time: 11.33 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120) Total of 12 processors activated (81602.88 BogoMIPS).``` `GGNFS / Msieve v1.39` `Core i7-4930K`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 13, 2015 14:28:40 UTC 2015 年 1 月 13 日 (火) 23 時 28 分 40 秒 (日本時間)
403e6110Ignacio SantosJanuary 13, 2015 14:28:40 UTC 2015 年 1 月 13 日 (火) 23 時 28 分 40 秒 (日本時間)
4511e6832 / 439532Ignacio SantosJanuary 13, 2015 14:28:40 UTC 2015 年 1 月 13 日 (火) 23 時 28 分 40 秒 (日本時間)
800Pierre JammesJanuary 24, 2015 07:29:02 UTC 2015 年 1 月 24 日 (土) 16 時 29 分 2 秒 (日本時間)
5043e612 / 7360Pierre JammesJanuary 23, 2015 08:55:23 UTC 2015 年 1 月 23 日 (金) 17 時 55 分 23 秒 (日本時間)

## 7×10163+839

### c100

name 名前 Serge Batalov January 9, 2015 01:27:27 UTC 2015 年 1 月 9 日 (金) 10 時 27 分 27 秒 (日本時間) `2879714791051329946684712376191138100935667670024714969576750690224882322914883269544829252795533769<100>` ```26883165195121353549545586626762589833317<41> 107119633054738984539707176020654849258828761209526978059157<60>``` ```Divisors found: r1=26883165195121353549545586626762589833317 (pp41) r2=107119633054738984539707176020654849258828761209526978059157 (pp60) Version: Msieve v. 1.51 (SVN 719M) Total time: 1.78 hours. Scaled time: 4.27 units (timescale=2.400). Factorization parameters were as follows: name: test type: gnfs n: 2879714791051329946684712376191138100935667670024714969576750690224882322914883269544829252795533769 skew: 2991513.53 Y0: -1511306991866382163451415 Y1: 222321746591 c0: -3435171421927419063697998736 c1: 24605518197067294067466 c2: 6218678255718685 c3: -3170172102 c4: 552 Factor base limits: 1800000/1800000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved algebraic special-q in [900000, 1300001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 222488 x 222718 Total sieving time: 1.68 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.03 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: gnfs,99,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,80000 total time: 1.78 hours.```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

## 7×10164+839

### c147

name 名前 Jo Yeong Uk February 15, 2015 00:36:03 UTC 2015 年 2 月 15 日 (日) 9 時 36 分 3 秒 (日本時間) `474049455263002516488589727869072986088227554833624509587411388750361574178386022497991043972234913031374803752991988939611274730999568209802710887<147>` ```15770136368645995166689820395919245548317971101909514121257752919<65> 30059946482485860032859114363280036572098735001869933192602274058375593587563356273<83>``` ```Number: 77787_164 N=474049455263002516488589727869072986088227554833624509587411388750361574178386022497991043972234913031374803752991988939611274730999568209802710887 ( 147 digits) SNFS difficulty: 165 digits. Divisors found: r1=15770136368645995166689820395919245548317971101909514121257752919 r2=30059946482485860032859114363280036572098735001869933192602274058375593587563356273 Version: Total time: 13.53 hours. Scaled time: 70.96 units (timescale=5.243). Factorization parameters were as follows: n: 474049455263002516488589727869072986088227554833624509587411388750361574178386022497991043972234913031374803752991988939611274730999568209802710887 m: 1000000000000000000000000000000000 deg: 5 c5: 7 c0: 830 skew: 2.60 # Murphy_E = 3.27e-10 type: snfs lss: 1 rlim: 4200000 alim: 4200000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 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: 51/51 Sieved rational special-q in [2100000, 4000001) Primes: rational ideals reading, algebraic ideals reading, Relations: 9730668 Max relations in full relation-set: Initial matrix: Pruned matrix : 741714 x 741962 Total sieving time: 12.50 hours. Total relation processing time: 0.45 hours. Matrix solve time: 0.55 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,165,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000 total time: 13.53 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.06 BogoMIPS (lpj=3400031) Total of 12 processors activated (81600.74 BogoMIPS).``` `GGNFS / Msieve v1.39` `Core i7-4930K`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:08:04 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 4 秒 (日本時間)

## 7×10165+839

### c163

name 名前 Cyp February 16, 2015 11:29:02 UTC 2015 年 2 月 16 日 (月) 20 時 29 分 2 秒 (日本時間) `5595523581135091926458832933653077537969624300559552358113509192645883293365307753796962430055955235811350919264588329336530775379696243005595523581135091926458833<163>` ```191031663961640658841582576152459624695179200901<48> 29291079107485963284291341072708907176439977342452354821778712696272154229476169945889268717258696735471148417639133<116>``` ```02/16/15 08:22:00 v1.34.3, 02/16/15 08:22:00 v1.34.3, **************************** 02/16/15 08:22:00 v1.34.3, Starting factorization of 5595523581135091926458832933653077537969624300559552358113509192645883293365307753796962430055955235811350919264588329336530775379696243005595523581135091926458833 02/16/15 08:22:00 v1.34.3, using pretesting plan: none 02/16/15 08:22:00 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 02/16/15 08:22:00 v1.34.3, **************************** 02/16/15 08:22:00 v1.34.3, nfs: commencing nfs on c163: 5595523581135091926458832933653077537969624300559552358113509192645883293365307753796962430055955235811350919264588329336530775379696243005595523581135091926458833 02/16/15 08:22:00 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 02/16/15 08:22:00 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/16/15 08:26:33 v1.34.3, nfs: commencing lattice sieving with 8 threads [46 lines snipped] 02/16/15 12:04:58 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/16/15 12:09:40 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/16/15 12:14:26 v1.34.3, nfs: commencing msieve filtering 02/16/15 12:16:20 v1.34.3, nfs: commencing msieve linear algebra 02/16/15 12:27:17 v1.34.3, nfs: commencing msieve sqrt 02/16/15 12:28:56 v1.34.3, prp48 = 191031663961640658841582576152459624695179200901 02/16/15 12:28:56 v1.34.3, prp116 = 29291079107485963284291341072708907176439977342452354821778712696272154229476169945889268717258696735471148417639133 02/16/15 12:28:56 v1.34.3, NFS elapsed time = 14816.2837 seconds. 02/16/15 12:28:56 v1.34.3, 02/16/15 12:28:56 v1.34.3, 02/16/15 12:28:56 v1.34.3, Total factoring time = 14816.2849 seconds -- Mon Feb 16 12:14:26 2015 Mon Feb 16 12:14:26 2015 commencing relation filtering Mon Feb 16 12:14:26 2015 estimated available RAM is 15987.3 MB Mon Feb 16 12:14:26 2015 commencing duplicate removal, pass 1 Mon Feb 16 12:14:53 2015 found 1313678 hash collisions in 10118355 relations Mon Feb 16 12:15:02 2015 added 366233 free relations Mon Feb 16 12:15:02 2015 commencing duplicate removal, pass 2 Mon Feb 16 12:15:10 2015 found 847780 duplicates and 9636808 unique relations Mon Feb 16 12:15:10 2015 memory use: 41.3 MB Mon Feb 16 12:15:10 2015 reading ideals above 100000 Mon Feb 16 12:15:10 2015 commencing singleton removal, initial pass Mon Feb 16 12:15:52 2015 memory use: 344.5 MB Mon Feb 16 12:15:52 2015 reading all ideals from disk Mon Feb 16 12:15:52 2015 memory use: 343.9 MB Mon Feb 16 12:15:52 2015 keeping 10371098 ideals with weight <= 200, target excess is 50520 Mon Feb 16 12:15:53 2015 commencing in-memory singleton removal Mon Feb 16 12:15:53 2015 begin with 9636808 relations and 10371098 unique ideals Mon Feb 16 12:15:57 2015 reduce to 4233661 relations and 3800981 ideals in 16 passes Mon Feb 16 12:15:57 2015 max relations containing the same ideal: 127 Mon Feb 16 12:15:58 2015 removing 932591 relations and 745553 ideals in 187038 cliques Mon Feb 16 12:15:58 2015 commencing in-memory singleton removal Mon Feb 16 12:15:58 2015 begin with 3301070 relations and 3800981 unique ideals Mon Feb 16 12:16:00 2015 reduce to 3129571 relations and 2874154 ideals in 12 passes Mon Feb 16 12:16:00 2015 max relations containing the same ideal: 105 Mon Feb 16 12:16:00 2015 removing 747110 relations and 560072 ideals in 187038 cliques Mon Feb 16 12:16:01 2015 commencing in-memory singleton removal Mon Feb 16 12:16:01 2015 begin with 2382461 relations and 2874154 unique ideals Mon Feb 16 12:16:02 2015 reduce to 2237760 relations and 2160804 ideals in 10 passes Mon Feb 16 12:16:02 2015 max relations containing the same ideal: 82 Mon Feb 16 12:16:02 2015 removing 123940 relations and 105588 ideals in 18352 cliques Mon Feb 16 12:16:02 2015 commencing in-memory singleton removal Mon Feb 16 12:16:02 2015 begin with 2113820 relations and 2160804 unique ideals Mon Feb 16 12:16:03 2015 reduce to 2109309 relations and 2050675 ideals in 6 passes Mon Feb 16 12:16:03 2015 max relations containing the same ideal: 81 Mon Feb 16 12:16:03 2015 relations with 0 large ideals: 1183 Mon Feb 16 12:16:03 2015 relations with 1 large ideals: 338 Mon Feb 16 12:16:03 2015 relations with 2 large ideals: 5833 Mon Feb 16 12:16:03 2015 relations with 3 large ideals: 45442 Mon Feb 16 12:16:03 2015 relations with 4 large ideals: 188528 Mon Feb 16 12:16:03 2015 relations with 5 large ideals: 441018 Mon Feb 16 12:16:03 2015 relations with 6 large ideals: 626184 Mon Feb 16 12:16:03 2015 relations with 7+ large ideals: 800783 Mon Feb 16 12:16:03 2015 commencing 2-way merge Mon Feb 16 12:16:04 2015 reduce to 1260681 relation sets and 1202047 unique ideals Mon Feb 16 12:16:04 2015 commencing full merge Mon Feb 16 12:16:15 2015 memory use: 151.7 MB Mon Feb 16 12:16:15 2015 found 645957 cycles, need 638247 Mon Feb 16 12:16:15 2015 weight of 638247 cycles is about 44812860 (70.21/cycle) Mon Feb 16 12:16:15 2015 distribution of cycle lengths: Mon Feb 16 12:16:15 2015 1 relations: 72752 Mon Feb 16 12:16:15 2015 2 relations: 68761 Mon Feb 16 12:16:15 2015 3 relations: 68716 Mon Feb 16 12:16:15 2015 4 relations: 64985 Mon Feb 16 12:16:15 2015 5 relations: 61688 Mon Feb 16 12:16:15 2015 6 relations: 55032 Mon Feb 16 12:16:15 2015 7 relations: 48955 Mon Feb 16 12:16:15 2015 8 relations: 42295 Mon Feb 16 12:16:15 2015 9 relations: 36100 Mon Feb 16 12:16:15 2015 10+ relations: 118963 Mon Feb 16 12:16:15 2015 heaviest cycle: 21 relations Mon Feb 16 12:16:15 2015 commencing cycle optimization Mon Feb 16 12:16:16 2015 start with 3790474 relations Mon Feb 16 12:16:19 2015 pruned 91784 relations Mon Feb 16 12:16:19 2015 memory use: 124.6 MB Mon Feb 16 12:16:19 2015 distribution of cycle lengths: Mon Feb 16 12:16:19 2015 1 relations: 72752 Mon Feb 16 12:16:19 2015 2 relations: 70113 Mon Feb 16 12:16:19 2015 3 relations: 71031 Mon Feb 16 12:16:19 2015 4 relations: 66415 Mon Feb 16 12:16:19 2015 5 relations: 63548 Mon Feb 16 12:16:19 2015 6 relations: 56198 Mon Feb 16 12:16:19 2015 7 relations: 49553 Mon Feb 16 12:16:19 2015 8 relations: 42670 Mon Feb 16 12:16:19 2015 9 relations: 35942 Mon Feb 16 12:16:19 2015 10+ relations: 110025 Mon Feb 16 12:16:19 2015 heaviest cycle: 21 relations Mon Feb 16 12:16:20 2015 RelProcTime: 114 Mon Feb 16 12:16:20 2015 Mon Feb 16 12:16:20 2015 commencing linear algebra Mon Feb 16 12:16:20 2015 read 638247 cycles Mon Feb 16 12:16:20 2015 cycles contain 2066326 unique relations Mon Feb 16 12:16:31 2015 read 2066326 relations Mon Feb 16 12:16:32 2015 using 20 quadratic characters above 134215752 Mon Feb 16 12:16:39 2015 building initial matrix Mon Feb 16 12:16:49 2015 memory use: 248.4 MB Mon Feb 16 12:16:49 2015 read 638247 cycles Mon Feb 16 12:16:49 2015 matrix is 638070 x 638247 (190.9 MB) with weight 56401967 (88.37/col) Mon Feb 16 12:16:49 2015 sparse part has weight 43013646 (67.39/col) Mon Feb 16 12:16:52 2015 filtering completed in 2 passes Mon Feb 16 12:16:52 2015 matrix is 637791 x 637968 (190.8 MB) with weight 56392478 (88.39/col) Mon Feb 16 12:16:52 2015 sparse part has weight 43010107 (67.42/col) Mon Feb 16 12:16:53 2015 matrix starts at (0, 0) Mon Feb 16 12:16:53 2015 matrix is 637791 x 637968 (190.8 MB) with weight 56392478 (88.39/col) Mon Feb 16 12:16:53 2015 sparse part has weight 43010107 (67.42/col) Mon Feb 16 12:16:53 2015 saving the first 48 matrix rows for later Mon Feb 16 12:16:53 2015 matrix includes 64 packed rows Mon Feb 16 12:16:53 2015 matrix is 637743 x 637968 (179.2 MB) with weight 44538049 (69.81/col) Mon Feb 16 12:16:53 2015 sparse part has weight 40608793 (63.65/col) Mon Feb 16 12:16:53 2015 using block size 65536 for processor cache size 8192 kB Mon Feb 16 12:16:55 2015 commencing Lanczos iteration (8 threads) Mon Feb 16 12:16:55 2015 memory use: 174.4 MB Mon Feb 16 12:16:58 2015 linear algebra at 0.5%, ETA 0h10m Mon Feb 16 12:27:16 2015 lanczos halted after 10086 iterations (dim = 637741) Mon Feb 16 12:27:17 2015 recovered 34 nontrivial dependencies Mon Feb 16 12:27:17 2015 BLanczosTime: 657 Mon Feb 16 12:27:17 2015 Mon Feb 16 12:27:17 2015 commencing square root phase Mon Feb 16 12:27:17 2015 reading relations for dependency 1 Mon Feb 16 12:27:17 2015 read 318535 cycles Mon Feb 16 12:27:17 2015 cycles contain 1031808 unique relations Mon Feb 16 12:27:26 2015 read 1031808 relations Mon Feb 16 12:27:28 2015 multiplying 1031808 relations Mon Feb 16 12:27:45 2015 multiply complete, coefficients have about 25.53 million bits Mon Feb 16 12:27:45 2015 initial square root is modulo 21451471 Mon Feb 16 12:28:06 2015 GCD is N, no factor found Mon Feb 16 12:28:06 2015 reading relations for dependency 2 Mon Feb 16 12:28:06 2015 read 318887 cycles Mon Feb 16 12:28:07 2015 cycles contain 1032542 unique relations Mon Feb 16 12:28:15 2015 read 1032542 relations Mon Feb 16 12:28:17 2015 multiplying 1032542 relations Mon Feb 16 12:28:34 2015 multiply complete, coefficients have about 25.55 million bits Mon Feb 16 12:28:34 2015 initial square root is modulo 21751841 Mon Feb 16 12:28:56 2015 sqrtTime: 99 -- n: 5595523581135091926458832933653077537969624300559552358113509192645883293365307753796962430055955235811350919264588329336530775379696243005595523581135091926458833 m: 1000000000000000000000000000000000 deg: 5 c5: 7 c0: 83 skew: 1.64 # Murphy_E = 3.545e-10 type: snfs lss: 1 rlim: 4100000 alim: 4100000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4``` `yafu v1.34.3` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovJanuary 9, 2015 00:08:04 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 4 秒 (日本時間)
2350Ignacio SantosFebruary 8, 2015 10:19:04 UTC 2015 年 2 月 8 日 (日) 19 時 19 分 4 秒 (日本時間)

## 7×10166+839

### c165

name 名前 Maksym Voznyy February 8, 2015 16:41:53 UTC 2015 年 2 月 9 日 (月) 1 時 41 分 53 秒 (日本時間) `598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290599<165>` ```6521665289178330095388093086486219807395830810511392778722742787660843<70> 91738930435968051469690010886911698690325390905597236479030758193618022911161350078106576965493<95>``` ```Number: example8 N = 598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290599 (165 digits) SNFS difficulty: 167 digits. Divisors found: r7=6521665289178330095388093086486219807395830810511392778722742787660843 (pp70) r9=91738930435968051469690010886911698690325390905597236479030758193618022911161350078106576965493 (pp95) Version: Msieve v. 1.51 (SVN 845) Total time: 66.99 hours. Factorization parameters were as follows: n: 598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290598290599 m: 1000000000000000000000000000000000 deg: 5 c5: 70 c0: 83 skew: 1.03 # Murphy_E = 2.539e-10 type: snfs lss: 1 rlim: 4200000 alim: 4200000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 4200000/4200000 Large primes per side: 3 Large prime bits: 27/27 Sieved rational special-q in [0, 0) Total raw relations: 9738488 Relations: 1380694 relations Pruned matrix : 826347 x 826574 Polynomial selection time: 0.00 hours. Total sieving time: 60.02 hours. Total relation processing time: 0.48 hours. Matrix solve time: 5.74 hours. time per square root: 0.74 hours. Prototype def-par.txt line would be: snfs,167,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000 total time: 66.99 hours. x86 Family 6 Model 15 Stepping 6, GenuineIntel Windows-XP-5.1.2600-SP3 processors: 4, speed: 2.66GHz```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:08:05 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 5 秒 (日本時間)

## 7×10167+839

### c160

name 名前 Serge Batalov January 9, 2015 02:00:09 UTC 2015 年 1 月 9 日 (金) 11 時 0 分 9 秒 (日本時間) `7675963036465791867863252806230653763197351783979890117273253614509561503045235469980410613361094879190704356127664818854016221217921149853999345064902405777307<160>` ```8496830619295560197968435502161<31> 33574714021734435585446750839229<32>``` `26906895477828579940466416946040473052299789191779803838609948122645340972849740633512866126455303<98>` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3243897360 Step 1 took 11631ms ********** Factor found in step 1: 33574714021734435585446750839229 Found probable prime factor of 32 digits: 33574714021734435585446750839229 Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1714850020 Step 1 took 10920ms ********** Factor found in step 1: 8496830619295560197968435502161 Found probable prime factor of 31 digits: 8496830619295560197968435502161```

### c98

name 名前 Cyp January 9, 2015 21:46:04 UTC 2015 年 1 月 10 日 (土) 6 時 46 分 4 秒 (日本時間) `26906895477828579940466416946040473052299789191779803838609948122645340972849740633512866126455303<98>` ```6352214370240254146075209566853689666525072077<46> 4235829257256458805458084256852074184145324814075939<52>``` ```01/09/15 22:23:41 v1.34.3, 01/09/15 22:23:41 v1.34.3, **************************** 01/09/15 22:23:41 v1.34.3, Starting factorization of 26906895477828579940466416946040473052299789191779803838609948122645340972849740633512866126455303 01/09/15 22:23:41 v1.34.3, using pretesting plan: none 01/09/15 22:23:41 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 01/09/15 22:23:41 v1.34.3, **************************** 01/09/15 22:23:41 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C98 01/09/15 22:23:41 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C98 01/09/15 22:23:41 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C98 01/09/15 22:23:41 v1.34.3, final ECM pretested depth: 0.00 01/09/15 22:23:41 v1.34.3, scheduler: switching to sieve method 01/09/15 22:23:41 v1.34.3, nfs: commencing nfs on c98: 26906895477828579940466416946040473052299789191779803838609948122645340972849740633512866126455303 01/09/15 22:23:41 v1.34.3, nfs: commencing poly selection with 8 threads 01/09/15 22:23:41 v1.34.3, nfs: setting deadline of 128 seconds 01/09/15 22:26:01 v1.34.3, nfs: completed 189 ranges of size 250 in 139.9632 seconds 01/09/15 22:26:01 v1.34.3, nfs: best poly = # norm 1.956393e-13 alpha -4.898803 e 1.468e-08 rroots 4 01/09/15 22:26:01 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 22:27:31 v1.34.3, nfs: commencing lattice sieving with 8 threads [8 lines snipped] 01/09/15 22:40:42 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 22:42:06 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 22:43:30 v1.34.3, nfs: commencing msieve filtering 01/09/15 22:44:19 v1.34.3, nfs: commencing msieve linear algebra 01/09/15 22:45:42 v1.34.3, nfs: commencing msieve sqrt 01/09/15 22:46:03 v1.34.3, prp46 = 6352214370240254146075209566853689666525072077 01/09/15 22:46:03 v1.34.3, prp52 = 4235829257256458805458084256852074184145324814075939 01/09/15 22:46:03 v1.34.3, NFS elapsed time = 1342.1381 seconds. 01/09/15 22:46:03 v1.34.3, 01/09/15 22:46:03 v1.34.3, 01/09/15 22:46:03 v1.34.3, Total factoring time = 1342.1609 seconds -- Fri Jan 9 22:43:30 2015 Fri Jan 9 22:43:30 2015 commencing relation filtering Fri Jan 9 22:43:30 2015 estimated available RAM is 15987.3 MB Fri Jan 9 22:43:30 2015 commencing duplicate removal, pass 1 Fri Jan 9 22:43:44 2015 found 427176 hash collisions in 4766455 relations Fri Jan 9 22:43:48 2015 added 155533 free relations Fri Jan 9 22:43:48 2015 commencing duplicate removal, pass 2 Fri Jan 9 22:43:52 2015 found 158813 duplicates and 4763175 unique relations Fri Jan 9 22:43:52 2015 memory use: 20.6 MB Fri Jan 9 22:43:52 2015 reading ideals above 100000 Fri Jan 9 22:43:52 2015 commencing singleton removal, initial pass Fri Jan 9 22:44:11 2015 memory use: 172.2 MB Fri Jan 9 22:44:11 2015 reading all ideals from disk Fri Jan 9 22:44:11 2015 memory use: 145.8 MB Fri Jan 9 22:44:11 2015 keeping 5302958 ideals with weight <= 200, target excess is 40007 Fri Jan 9 22:44:11 2015 commencing in-memory singleton removal Fri Jan 9 22:44:12 2015 begin with 4763175 relations and 5302958 unique ideals Fri Jan 9 22:44:13 2015 reduce to 1613115 relations and 1459275 ideals in 17 passes Fri Jan 9 22:44:13 2015 max relations containing the same ideal: 99 Fri Jan 9 22:44:13 2015 removing 362767 relations and 309051 ideals in 53716 cliques Fri Jan 9 22:44:13 2015 commencing in-memory singleton removal Fri Jan 9 22:44:13 2015 begin with 1250348 relations and 1459275 unique ideals Fri Jan 9 22:44:14 2015 reduce to 1180919 relations and 1077485 ideals in 12 passes Fri Jan 9 22:44:14 2015 max relations containing the same ideal: 84 Fri Jan 9 22:44:14 2015 removing 271182 relations and 217466 ideals in 53716 cliques Fri Jan 9 22:44:14 2015 commencing in-memory singleton removal Fri Jan 9 22:44:14 2015 begin with 909737 relations and 1077485 unique ideals Fri Jan 9 22:44:14 2015 reduce to 855238 relations and 802948 ideals in 11 passes Fri Jan 9 22:44:14 2015 max relations containing the same ideal: 68 Fri Jan 9 22:44:14 2015 relations with 0 large ideals: 755 Fri Jan 9 22:44:14 2015 relations with 1 large ideals: 6414 Fri Jan 9 22:44:14 2015 relations with 2 large ideals: 37590 Fri Jan 9 22:44:14 2015 relations with 3 large ideals: 130671 Fri Jan 9 22:44:14 2015 relations with 4 large ideals: 243794 Fri Jan 9 22:44:14 2015 relations with 5 large ideals: 254844 Fri Jan 9 22:44:14 2015 relations with 6 large ideals: 136403 Fri Jan 9 22:44:14 2015 relations with 7+ large ideals: 44767 Fri Jan 9 22:44:14 2015 commencing 2-way merge Fri Jan 9 22:44:14 2015 reduce to 477500 relation sets and 425210 unique ideals Fri Jan 9 22:44:14 2015 commencing full merge Fri Jan 9 22:44:18 2015 memory use: 43.2 MB Fri Jan 9 22:44:18 2015 found 221831 cycles, need 211410 Fri Jan 9 22:44:18 2015 weight of 211410 cycles is about 14929157 (70.62/cycle) Fri Jan 9 22:44:18 2015 distribution of cycle lengths: Fri Jan 9 22:44:18 2015 1 relations: 20165 Fri Jan 9 22:44:18 2015 2 relations: 20474 Fri Jan 9 22:44:18 2015 3 relations: 20565 Fri Jan 9 22:44:18 2015 4 relations: 19259 Fri Jan 9 22:44:18 2015 5 relations: 17990 Fri Jan 9 22:44:18 2015 6 relations: 16645 Fri Jan 9 22:44:18 2015 7 relations: 15130 Fri Jan 9 22:44:18 2015 8 relations: 13677 Fri Jan 9 22:44:18 2015 9 relations: 12084 Fri Jan 9 22:44:18 2015 10+ relations: 55421 Fri Jan 9 22:44:18 2015 heaviest cycle: 22 relations Fri Jan 9 22:44:18 2015 commencing cycle optimization Fri Jan 9 22:44:18 2015 start with 1429591 relations Fri Jan 9 22:44:19 2015 pruned 35213 relations Fri Jan 9 22:44:19 2015 memory use: 46.6 MB Fri Jan 9 22:44:19 2015 distribution of cycle lengths: Fri Jan 9 22:44:19 2015 1 relations: 20165 Fri Jan 9 22:44:19 2015 2 relations: 20923 Fri Jan 9 22:44:19 2015 3 relations: 21313 Fri Jan 9 22:44:19 2015 4 relations: 19693 Fri Jan 9 22:44:19 2015 5 relations: 18498 Fri Jan 9 22:44:19 2015 6 relations: 16928 Fri Jan 9 22:44:19 2015 7 relations: 15526 Fri Jan 9 22:44:19 2015 8 relations: 13864 Fri Jan 9 22:44:19 2015 9 relations: 12201 Fri Jan 9 22:44:19 2015 10+ relations: 52299 Fri Jan 9 22:44:19 2015 heaviest cycle: 21 relations Fri Jan 9 22:44:19 2015 RelProcTime: 49 Fri Jan 9 22:44:19 2015 Fri Jan 9 22:44:19 2015 commencing linear algebra Fri Jan 9 22:44:19 2015 read 211410 cycles Fri Jan 9 22:44:20 2015 cycles contain 771006 unique relations Fri Jan 9 22:44:24 2015 read 771006 relations Fri Jan 9 22:44:25 2015 using 20 quadratic characters above 67101920 Fri Jan 9 22:44:27 2015 building initial matrix Fri Jan 9 22:44:31 2015 memory use: 93.3 MB Fri Jan 9 22:44:31 2015 read 211410 cycles Fri Jan 9 22:44:31 2015 matrix is 211218 x 211410 (63.3 MB) with weight 20075097 (94.96/col) Fri Jan 9 22:44:31 2015 sparse part has weight 14263834 (67.47/col) Fri Jan 9 22:44:32 2015 filtering completed in 2 passes Fri Jan 9 22:44:32 2015 matrix is 210114 x 210306 (63.1 MB) with weight 20017032 (95.18/col) Fri Jan 9 22:44:32 2015 sparse part has weight 14238087 (67.70/col) Fri Jan 9 22:44:32 2015 matrix starts at (0, 0) Fri Jan 9 22:44:32 2015 matrix is 210114 x 210306 (63.1 MB) with weight 20017032 (95.18/col) Fri Jan 9 22:44:32 2015 sparse part has weight 14238087 (67.70/col) Fri Jan 9 22:44:32 2015 saving the first 48 matrix rows for later Fri Jan 9 22:44:32 2015 matrix includes 64 packed rows Fri Jan 9 22:44:32 2015 matrix is 210066 x 210306 (60.7 MB) with weight 15854062 (75.39/col) Fri Jan 9 22:44:32 2015 sparse part has weight 13803191 (65.63/col) Fri Jan 9 22:44:32 2015 using block size 65536 for processor cache size 8192 kB Fri Jan 9 22:44:32 2015 commencing Lanczos iteration (8 threads) Fri Jan 9 22:44:32 2015 memory use: 56.8 MB Fri Jan 9 22:44:36 2015 linear algebra at 5.8%, ETA 0h 1m Fri Jan 9 22:45:42 2015 lanczos halted after 3324 iterations (dim = 210066) Fri Jan 9 22:45:42 2015 recovered 33 nontrivial dependencies Fri Jan 9 22:45:42 2015 BLanczosTime: 83 Fri Jan 9 22:45:42 2015 Fri Jan 9 22:45:42 2015 commencing square root phase Fri Jan 9 22:45:42 2015 reading relations for dependency 1 Fri Jan 9 22:45:42 2015 read 105140 cycles Fri Jan 9 22:45:42 2015 cycles contain 385678 unique relations Fri Jan 9 22:45:46 2015 read 385678 relations Fri Jan 9 22:45:47 2015 multiplying 385678 relations Fri Jan 9 22:45:53 2015 multiply complete, coefficients have about 17.03 million bits Fri Jan 9 22:45:53 2015 initial square root is modulo 78347 Fri Jan 9 22:46:03 2015 sqrtTime: 21 -- n: 26906895477828579940466416946040473052299789191779803838609948122645340972849740633512866126455303 skew: 390453.04 c0: 166698793936110067434551420 c1: 326363001690896581095 c2: -14755773162366764 c3: -5399605362 c4: 36540 Y0: -164730497350459562831523 Y1: 2540800855837 rlim: 1680000 alim: 1680000 lpbr: 26 lpba: 26 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5``` `yafu v1.34.3` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:08:05 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 5 秒 (日本時間)

## 7×10168+839

### c120

name 名前 Jo Yeong Uk March 15, 2015 08:05:50 UTC 2015 年 3 月 15 日 (日) 17 時 5 分 50 秒 (日本時間) `238507752440647176304345493172019303419373364173357831213816149623633987758605996692018039941295753755856788012459645301<120>` ```718925426668226784264684355108409797621689346718971<51> 331755900672455834991091685983837784647986315604008241864284815153231<69>``` ```Number: 77787_168 N=238507752440647176304345493172019303419373364173357831213816149623633987758605996692018039941295753755856788012459645301 ( 120 digits) Divisors found: r1=718925426668226784264684355108409797621689346718971 r2=331755900672455834991091685983837784647986315604008241864284815153231 Version: Total time: 17.49 hours. Scaled time: 90.19 units (timescale=5.156). Factorization parameters were as follows: name: 77787_168 n: 238507752440647176304345493172019303419373364173357831213816149623633987758605996692018039941295753755856788012459645301 skew: 47751.78 # norm 1.19e+16 c5: 47460 c4: -6942814152 c3: 19505737120433 c2: 19437699612563989323 c1: 202143833853696072711435 c0: -3856093765834197114697075875 # alpha -5.35 Y1: 6958321283029 Y0: -87143694435263647871068 # Murphy_E 3.21e-10 # M 47290472805068277923561180638239377870919366027642986183032735247692393028013630767162227963152733606560427600696406317 type: gnfs rlim: 4800000 alim: 4800000 lpbr: 27 lpba: 27 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 4800000/4800000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 54/54 Sieved algebraic special-q in [2400000, 4200001) Primes: rational ideals reading, algebraic ideals reading, Relations: 10789362 Max relations in full relation-set: Initial matrix: Pruned matrix : 702498 x 702746 Polynomial selection time: 2.63 hours. Total sieving time: 13.84 hours. Total relation processing time: 0.47 hours. Matrix solve time: 0.47 hours. Time per square root: 0.08 hours. Prototype def-par.txt line would be: gnfs,119,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4800000,4800000,27,27,54,54,2.5,2.5,100000 total time: 17.49 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.94 BogoMIPS (lpj=3399972) Total of 12 processors activated (81599.32 BogoMIPS).``` `GGNFS / Msieve v1.39` `Core i7-4930K`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 13, 2015 14:29:07 UTC 2015 年 1 月 13 日 (火) 23 時 29 分 7 秒 (日本時間)
403e6110Ignacio SantosJanuary 13, 2015 14:29:07 UTC 2015 年 1 月 13 日 (火) 23 時 29 分 7 秒 (日本時間)
4511e61796 / 438432Ignacio SantosJanuary 13, 2015 14:29:07 UTC 2015 年 1 月 13 日 (火) 23 時 29 分 7 秒 (日本時間)
710Pierre JammesJanuary 26, 2015 06:44:40 UTC 2015 年 1 月 26 日 (月) 15 時 44 分 40 秒 (日本時間)
1054Andreas TeteFebruary 6, 2015 22:35:33 UTC 2015 年 2 月 7 日 (土) 7 時 35 分 33 秒 (日本時間)
5043e615 / 7144Andreas TeteFebruary 6, 2015 22:35:55 UTC 2015 年 2 月 7 日 (土) 7 時 35 分 55 秒 (日本時間)

## 7×10169+839

### c146

name 名前 Jo Yeong Uk April 4, 2015 14:21:03 UTC 2015 年 4 月 4 日 (土) 23 時 21 分 3 秒 (日本時間) `39135668591607667826479015830337906553952537174927997931474468166586700907689036717878520236923889557965236094686413192238267260722466543114591407<146>` ```6090885974209614237636850526404330625317036472159<49> 6425283408246059039301728608541376611886380374869107929051767703729071871709090286950749440388273<97>``` ```GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM] Input number is 39135668591607667826479015830337906553952537174927997931474468166586700907689036717878520236923889557965236094686413192238267260722466543114591407 (146 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=8497752763 Step 1 took 24487ms Step 2 took 8850ms ********** Factor found in step 2: 6090885974209614237636850526404330625317036472159 Found probable prime factor of 49 digits: 6090885974209614237636850526404330625317036472159 Probable prime cofactor 6425283408246059039301728608541376611886380374869107929051767703729071871709090286950749440388273 has 97 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovJanuary 9, 2015 00:08:06 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 6 秒 (日本時間)
2350Ignacio SantosFebruary 14, 2015 10:06:40 UTC 2015 年 2 月 14 日 (土) 19 時 6 分 40 秒 (日本時間)

## 7×10172+839

### c137

name 名前 Jo Yeong Uk April 30, 2015 11:54:22 UTC 2015 年 4 月 30 日 (木) 20 時 54 分 22 秒 (日本時間) `44417969464611111488342024178260226159006676061109148256593177374049105595347534395227481094967978590756078651715678131268793875577904117<137>` ```84782553185140769786088148104610976082639508601143966721770072261<65> 523904598244582359708710359316273534054661788896756427530220308706326897<72>``` ```Number: 77787_172 N=44417969464611111488342024178260226159006676061109148256593177374049105595347534395227481094967978590756078651715678131268793875577904117 ( 137 digits) SNFS difficulty: 172 digits. Divisors found: r1=84782553185140769786088148104610976082639508601143966721770072261 r2=523904598244582359708710359316273534054661788896756427530220308706326897 Version: Total time: 30.71 hours. Scaled time: 160.82 units (timescale=5.236). Factorization parameters were as follows: n: 44417969464611111488342024178260226159006676061109148256593177374049105595347534395227481094967978590756078651715678131268793875577904117 m: 10000000000000000000000000000000000 deg: 5 c5: 700 c0: 83 skew: 0.65 # Murphy_E = 1.488e-10 type: snfs lss: 1 rlim: 6400000 alim: 6400000 lpbr: 28 lpba: 28 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 6400000/6400000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 52/52 Sieved rational special-q in [3200000, 7000001) Primes: rational ideals reading, algebraic ideals reading, Relations: 16437920 Max relations in full relation-set: Initial matrix: Pruned matrix : 1127791 x 1128039 Total sieving time: 27.49 hours. Total relation processing time: 1.52 hours. Matrix solve time: 1.38 hours. Time per square root: 0.32 hours. Prototype def-par.txt line would be: snfs,172,5,0,0,0,0,0,0,0,0,6400000,6400000,28,28,52,52,2.4,2.4,100000 total time: 30.71 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.00 BogoMIPS (lpj=3400000) Total of 12 processors activated (81600.00 BogoMIPS).``` `GGNFS / Msieve v1.39` `Core i7-4930K`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:08:07 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 7 秒 (日本時間)
1CypJanuary 9, 2015 00:58:43 UTC 2015 年 1 月 9 日 (金) 9 時 58 分 43 秒 (日本時間)
4511e6750 / 3707Pierre JammesFebruary 7, 2015 09:57:21 UTC 2015 年 2 月 7 日 (土) 18 時 57 分 21 秒 (日本時間)
5043e6200 / 7373Pierre JammesMarch 22, 2015 13:25:52 UTC 2015 年 3 月 22 日 (日) 22 時 25 分 52 秒 (日本時間)

## 7×10174+839

### c167

name 名前 Cyp April 22, 2015 22:19:30 UTC 2015 年 4 月 23 日 (木) 7 時 19 分 30 秒 (日本時間) `19850467393291891285693873357131718397424239649043963349083856833404155547321014524606842139070145633492829286635483113713575445117026488007128858654018130333648669351<167>` ```2686311432087107889925787465362270890385351070562021384165013<61> 7389488484538530056843691029749673663271969776851654765037165196398675114098036328189971778332855800478027<106>``` ```04/22/15 07:39:05 v1.34.3, 04/22/15 07:39:05 v1.34.3, **************************** 04/22/15 07:39:05 v1.34.3, Starting factorization of 19850467393291891285693873357131718397424239649043963349083856833404155547321014524606842139070145633492829286635483113713575445117026488007128858654018130333648669351 04/22/15 07:39:05 v1.34.3, using pretesting plan: none 04/22/15 07:39:05 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 04/22/15 07:39:05 v1.34.3, **************************** 04/22/15 07:39:05 v1.34.3, nfs: commencing nfs on c167: 19850467393291891285693873357131718397424239649043963349083856833404155547321014524606842139070145633492829286635483113713575445117026488007128858654018130333648669351 04/22/15 07:39:05 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 04/22/15 07:39:05 v1.34.3, nfs: commencing lattice sieving with 8 threads 04/22/15 07:44:44 v1.34.3, nfs: commencing lattice sieving with 8 threads [133 lines snipped] 04/22/15 19:36:47 v1.34.3, nfs: commencing lattice sieving with 8 threads 04/22/15 19:42:11 v1.34.3, nfs: commencing lattice sieving with 8 threads 04/22/15 19:47:34 v1.34.3, nfs: commencing msieve filtering 04/22/15 19:51:37 v1.34.3, nfs: commencing msieve linear algebra 04/22/15 22:13:23 v1.34.3, 04/22/15 22:13:23 v1.34.3, **************************** 04/22/15 22:13:23 v1.34.3, Starting factorization of 19850467393291891285693873357131718397424239649043963349083856833404155547321014524606842139070145633492829286635483113713575445117026488007128858654018130333648669351 04/22/15 22:13:23 v1.34.3, using pretesting plan: none 04/22/15 22:13:23 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 04/22/15 22:13:23 v1.34.3, **************************** 04/22/15 22:13:23 v1.34.3, nfs: commencing nfs on c167: 19850467393291891285693873357131718397424239649043963349083856833404155547321014524606842139070145633492829286635483113713575445117026488007128858654018130333648669351 04/22/15 22:13:23 v1.34.3, nfs: resuming with sieving at user specified special-q 8429959 04/22/15 22:13:23 v1.34.3, nfs: commencing lattice sieving with 8 threads 04/22/15 22:40:18 v1.34.3, c167 cofactor = 19850467393291891285693873357131718397424239649043963349083856833404155547321014524606842139070145633492829286635483113713575445117026488007128858654018130333648669351 04/22/15 22:40:18 v1.34.3, Total factoring time = 1614.7080 seconds 04/22/15 23:52:30 v1.34.3, 04/22/15 23:52:30 v1.34.3, **************************** 04/22/15 23:52:30 v1.34.3, Starting factorization of 19850467393291891285693873357131718397424239649043963349083856833404155547321014524606842139070145633492829286635483113713575445117026488007128858654018130333648669351 04/22/15 23:52:30 v1.34.3, using pretesting plan: none 04/22/15 23:52:30 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 04/22/15 23:52:30 v1.34.3, **************************** 04/22/15 23:52:30 v1.34.3, nfs: previous data file found - commencing search for last special-q 04/22/15 23:52:46 v1.34.3, nfs: parsing special-q from .dat file 04/22/15 23:52:46 v1.34.3, nfs: commencing nfs on c167: 19850467393291891285693873357131718397424239649043963349083856833404155547321014524606842139070145633492829286635483113713575445117026488007128858654018130333648669351 04/22/15 23:52:46 v1.34.3, nfs: resuming with filtering 04/22/15 23:52:46 v1.34.3, nfs: commencing msieve filtering 04/22/15 23:56:56 v1.34.3, nfs: commencing msieve linear algebra 04/23/15 00:15:30 v1.34.3, nfs: commencing msieve sqrt 04/23/15 00:19:24 v1.34.3, prp61 = 2686311432087107889925787465362270890385351070562021384165013 04/23/15 00:19:24 v1.34.3, prp106 = 7389488484538530056843691029749673663271969776851654765037165196398675114098036328189971778332855800478027 04/23/15 00:19:24 v1.34.3, NFS elapsed time = 1614.1305 seconds. 04/23/15 00:19:24 v1.34.3, 04/23/15 00:19:24 v1.34.3, 04/23/15 00:19:24 v1.34.3, Total factoring time = 1614.1316 seconds -- Wed Apr 22 19:47:34 2015 Wed Apr 22 19:47:34 2015 commencing relation filtering Wed Apr 22 19:47:34 2015 estimated available RAM is 15987.3 MB Wed Apr 22 19:47:34 2015 commencing duplicate removal, pass 1 Wed Apr 22 19:48:38 2015 found 3436685 hash collisions in 21093537 relations Wed Apr 22 19:48:55 2015 added 693571 free relations Wed Apr 22 19:48:55 2015 commencing duplicate removal, pass 2 Wed Apr 22 19:49:15 2015 found 2683037 duplicates and 19104071 unique relations Wed Apr 22 19:49:15 2015 memory use: 90.6 MB Wed Apr 22 19:49:15 2015 reading ideals above 720000 Wed Apr 22 19:49:15 2015 commencing singleton removal, initial pass Wed Apr 22 19:50:42 2015 memory use: 376.5 MB Wed Apr 22 19:50:42 2015 reading all ideals from disk Wed Apr 22 19:50:42 2015 memory use: 573.6 MB Wed Apr 22 19:50:43 2015 keeping 19058272 ideals with weight <= 200, target excess is 116166 Wed Apr 22 19:50:44 2015 commencing in-memory singleton removal Wed Apr 22 19:50:45 2015 begin with 19104071 relations and 19058272 unique ideals Wed Apr 22 19:50:51 2015 reduce to 9694278 relations and 7587309 ideals in 12 passes Wed Apr 22 19:50:51 2015 max relations containing the same ideal: 122 Wed Apr 22 19:50:54 2015 removing 1548666 relations and 1148666 ideals in 400000 cliques Wed Apr 22 19:50:55 2015 commencing in-memory singleton removal Wed Apr 22 19:50:55 2015 begin with 8145612 relations and 7587309 unique ideals Wed Apr 22 19:50:58 2015 reduce to 7958560 relations and 6242178 ideals in 7 passes Wed Apr 22 19:50:58 2015 max relations containing the same ideal: 112 Wed Apr 22 19:51:00 2015 removing 1264342 relations and 864342 ideals in 400000 cliques Wed Apr 22 19:51:00 2015 commencing in-memory singleton removal Wed Apr 22 19:51:01 2015 begin with 6694218 relations and 6242178 unique ideals Wed Apr 22 19:51:03 2015 reduce to 6558634 relations and 5235814 ideals in 9 passes Wed Apr 22 19:51:03 2015 max relations containing the same ideal: 99 Wed Apr 22 19:51:05 2015 removing 1191054 relations and 791054 ideals in 400000 cliques Wed Apr 22 19:51:06 2015 commencing in-memory singleton removal Wed Apr 22 19:51:06 2015 begin with 5367580 relations and 5235814 unique ideals Wed Apr 22 19:51:08 2015 reduce to 5233060 relations and 4302803 ideals in 7 passes Wed Apr 22 19:51:08 2015 max relations containing the same ideal: 82 Wed Apr 22 19:51:10 2015 removing 1157797 relations and 757797 ideals in 400000 cliques Wed Apr 22 19:51:10 2015 commencing in-memory singleton removal Wed Apr 22 19:51:10 2015 begin with 4075263 relations and 4302803 unique ideals Wed Apr 22 19:51:12 2015 reduce to 3923953 relations and 3383579 ideals in 8 passes Wed Apr 22 19:51:12 2015 max relations containing the same ideal: 65 Wed Apr 22 19:51:13 2015 removing 1137001 relations and 737001 ideals in 400000 cliques Wed Apr 22 19:51:13 2015 commencing in-memory singleton removal Wed Apr 22 19:51:13 2015 begin with 2786952 relations and 3383579 unique ideals Wed Apr 22 19:51:14 2015 reduce to 2602992 relations and 2445869 ideals in 8 passes Wed Apr 22 19:51:14 2015 max relations containing the same ideal: 50 Wed Apr 22 19:51:15 2015 removing 114165 relations and 91795 ideals in 22370 cliques Wed Apr 22 19:51:15 2015 commencing in-memory singleton removal Wed Apr 22 19:51:15 2015 begin with 2488827 relations and 2445869 unique ideals Wed Apr 22 19:51:16 2015 reduce to 2485074 relations and 2350290 ideals in 5 passes Wed Apr 22 19:51:16 2015 max relations containing the same ideal: 49 Wed Apr 22 19:51:16 2015 relations with 0 large ideals: 2888 Wed Apr 22 19:51:16 2015 relations with 1 large ideals: 2385 Wed Apr 22 19:51:16 2015 relations with 2 large ideals: 32512 Wed Apr 22 19:51:16 2015 relations with 3 large ideals: 173434 Wed Apr 22 19:51:16 2015 relations with 4 large ideals: 466090 Wed Apr 22 19:51:16 2015 relations with 5 large ideals: 702236 Wed Apr 22 19:51:16 2015 relations with 6 large ideals: 646905 Wed Apr 22 19:51:16 2015 relations with 7+ large ideals: 458624 Wed Apr 22 19:51:16 2015 commencing 2-way merge Wed Apr 22 19:51:17 2015 reduce to 1593976 relation sets and 1459192 unique ideals Wed Apr 22 19:51:17 2015 commencing full merge Wed Apr 22 19:51:31 2015 memory use: 183.7 MB Wed Apr 22 19:51:31 2015 found 843707 cycles, need 825392 Wed Apr 22 19:51:31 2015 weight of 825392 cycles is about 58039305 (70.32/cycle) Wed Apr 22 19:51:31 2015 distribution of cycle lengths: Wed Apr 22 19:51:31 2015 1 relations: 64755 Wed Apr 22 19:51:31 2015 2 relations: 82893 Wed Apr 22 19:51:31 2015 3 relations: 93906 Wed Apr 22 19:51:31 2015 4 relations: 95165 Wed Apr 22 19:51:31 2015 5 relations: 92809 Wed Apr 22 19:51:31 2015 6 relations: 84912 Wed Apr 22 19:51:31 2015 7 relations: 73941 Wed Apr 22 19:51:31 2015 8 relations: 61414 Wed Apr 22 19:51:31 2015 9 relations: 49242 Wed Apr 22 19:51:31 2015 10+ relations: 126355 Wed Apr 22 19:51:31 2015 heaviest cycle: 18 relations Wed Apr 22 19:51:31 2015 commencing cycle optimization Wed Apr 22 19:51:32 2015 start with 4796039 relations Wed Apr 22 19:51:36 2015 pruned 149049 relations Wed Apr 22 19:51:36 2015 memory use: 151.5 MB Wed Apr 22 19:51:36 2015 distribution of cycle lengths: Wed Apr 22 19:51:36 2015 1 relations: 64755 Wed Apr 22 19:51:36 2015 2 relations: 84738 Wed Apr 22 19:51:36 2015 3 relations: 97549 Wed Apr 22 19:51:36 2015 4 relations: 98654 Wed Apr 22 19:51:36 2015 5 relations: 96780 Wed Apr 22 19:51:36 2015 6 relations: 87602 Wed Apr 22 19:51:36 2015 7 relations: 75900 Wed Apr 22 19:51:36 2015 8 relations: 61596 Wed Apr 22 19:51:36 2015 9 relations: 48746 Wed Apr 22 19:51:36 2015 10+ relations: 109072 Wed Apr 22 19:51:36 2015 heaviest cycle: 18 relations Wed Apr 22 19:51:37 2015 RelProcTime: 243 Wed Apr 22 19:51:37 2015 Wed Apr 22 19:51:37 2015 commencing linear algebra Wed Apr 22 19:51:37 2015 read 825392 cycles Wed Apr 22 19:51:38 2015 cycles contain 2415141 unique relations Wed Apr 22 19:51:58 2015 read 2415141 relations Wed Apr 22 19:52:00 2015 using 20 quadratic characters above 268432580 Wed Apr 22 19:52:08 2015 building initial matrix Wed Apr 22 19:52:23 2015 memory use: 306.6 MB Wed Apr 22 19:52:23 2015 read 825392 cycles Wed Apr 22 19:52:23 2015 matrix is 826227 x 825392 (246.4 MB) with weight 73926042 (89.56/col) Wed Apr 22 19:52:23 2015 sparse part has weight 55507856 (67.25/col) Wed Apr 22 19:52:28 2015 filtering completed in 2 passes Wed Apr 22 19:52:28 2015 matrix is 825260 x 825024 (246.3 MB) with weight 73902619 (89.58/col) Wed Apr 22 19:52:28 2015 sparse part has weight 55492652 (67.26/col) Wed Apr 22 19:52:30 2015 matrix starts at (0, 0) Wed Apr 22 19:52:30 2015 matrix is 825260 x 825024 (246.3 MB) with weight 73902619 (89.58/col) Wed Apr 22 19:52:30 2015 sparse part has weight 55492652 (67.26/col) Wed Apr 22 19:52:30 2015 matrix needs more columns than rows; try adding 2-3% more relations Wed Apr 22 23:52:46 2015 Wed Apr 22 23:52:46 2015 commencing relation filtering Wed Apr 22 23:52:46 2015 estimated available RAM is 15987.3 MB Wed Apr 22 23:52:46 2015 commencing duplicate removal, pass 1 Wed Apr 22 23:54:01 2015 found 3692921 hash collisions in 22466232 relations Wed Apr 22 23:54:18 2015 added 2476 free relations Wed Apr 22 23:54:19 2015 commencing duplicate removal, pass 2 Wed Apr 22 23:54:38 2015 found 2831513 duplicates and 19637195 unique relations Wed Apr 22 23:54:38 2015 memory use: 90.6 MB Wed Apr 22 23:54:38 2015 reading ideals above 720000 Wed Apr 22 23:54:38 2015 commencing singleton removal, initial pass Wed Apr 22 23:56:03 2015 memory use: 376.5 MB Wed Apr 22 23:56:03 2015 reading all ideals from disk Wed Apr 22 23:56:03 2015 memory use: 589.7 MB Wed Apr 22 23:56:04 2015 keeping 19259502 ideals with weight <= 200, target excess is 116350 Wed Apr 22 23:56:05 2015 commencing in-memory singleton removal Wed Apr 22 23:56:05 2015 begin with 19637195 relations and 19259502 unique ideals Wed Apr 22 23:56:12 2015 reduce to 10266842 relations and 7883988 ideals in 11 passes Wed Apr 22 23:56:12 2015 max relations containing the same ideal: 129 Wed Apr 22 23:56:14 2015 removing 1519097 relations and 1119097 ideals in 400000 cliques Wed Apr 22 23:56:15 2015 commencing in-memory singleton removal Wed Apr 22 23:56:15 2015 begin with 8747745 relations and 7883988 unique ideals Wed Apr 22 23:56:18 2015 reduce to 8577206 relations and 6586131 ideals in 8 passes Wed Apr 22 23:56:18 2015 max relations containing the same ideal: 115 Wed Apr 22 23:56:20 2015 removing 1239181 relations and 839181 ideals in 400000 cliques Wed Apr 22 23:56:21 2015 commencing in-memory singleton removal Wed Apr 22 23:56:21 2015 begin with 7338025 relations and 6586131 unique ideals Wed Apr 22 23:56:23 2015 reduce to 7217415 relations and 5620921 ideals in 7 passes Wed Apr 22 23:56:23 2015 max relations containing the same ideal: 103 Wed Apr 22 23:56:25 2015 removing 1168036 relations and 768036 ideals in 400000 cliques Wed Apr 22 23:56:25 2015 commencing in-memory singleton removal Wed Apr 22 23:56:26 2015 begin with 6049379 relations and 5620921 unique ideals Wed Apr 22 23:56:27 2015 reduce to 5932913 relations and 4730617 ideals in 7 passes Wed Apr 22 23:56:27 2015 max relations containing the same ideal: 89 Wed Apr 22 23:56:29 2015 removing 1136944 relations and 736944 ideals in 400000 cliques Wed Apr 22 23:56:29 2015 commencing in-memory singleton removal Wed Apr 22 23:56:29 2015 begin with 4795969 relations and 4730617 unique ideals Wed Apr 22 23:56:31 2015 reduce to 4671403 relations and 3861852 ideals in 7 passes Wed Apr 22 23:56:31 2015 max relations containing the same ideal: 76 Wed Apr 22 23:56:32 2015 removing 1117731 relations and 717731 ideals in 400000 cliques Wed Apr 22 23:56:32 2015 commencing in-memory singleton removal Wed Apr 22 23:56:32 2015 begin with 3553672 relations and 3861852 unique ideals Wed Apr 22 23:56:33 2015 reduce to 3406893 relations and 2986565 ideals in 8 passes Wed Apr 22 23:56:33 2015 max relations containing the same ideal: 65 Wed Apr 22 23:56:34 2015 removing 831102 relations and 545741 ideals in 285361 cliques Wed Apr 22 23:56:34 2015 commencing in-memory singleton removal Wed Apr 22 23:56:34 2015 begin with 2575791 relations and 2986565 unique ideals Wed Apr 22 23:56:35 2015 reduce to 2457127 relations and 2313538 ideals in 8 passes Wed Apr 22 23:56:35 2015 max relations containing the same ideal: 50 Wed Apr 22 23:56:36 2015 removing 47829 relations and 39207 ideals in 8622 cliques Wed Apr 22 23:56:36 2015 commencing in-memory singleton removal Wed Apr 22 23:56:36 2015 begin with 2409298 relations and 2313538 unique ideals Wed Apr 22 23:56:36 2015 reduce to 2408633 relations and 2273662 ideals in 5 passes Wed Apr 22 23:56:36 2015 max relations containing the same ideal: 50 Wed Apr 22 23:56:37 2015 relations with 0 large ideals: 2888 Wed Apr 22 23:56:37 2015 relations with 1 large ideals: 2445 Wed Apr 22 23:56:37 2015 relations with 2 large ideals: 33369 Wed Apr 22 23:56:37 2015 relations with 3 large ideals: 175254 Wed Apr 22 23:56:37 2015 relations with 4 large ideals: 463170 Wed Apr 22 23:56:37 2015 relations with 5 large ideals: 684505 Wed Apr 22 23:56:37 2015 relations with 6 large ideals: 618214 Wed Apr 22 23:56:37 2015 relations with 7+ large ideals: 428788 Wed Apr 22 23:56:37 2015 commencing 2-way merge Wed Apr 22 23:56:37 2015 reduce to 1563965 relation sets and 1428994 unique ideals Wed Apr 22 23:56:37 2015 commencing full merge Wed Apr 22 23:56:51 2015 memory use: 179.2 MB Wed Apr 22 23:56:51 2015 found 827540 cycles, need 809194 Wed Apr 22 23:56:51 2015 weight of 809194 cycles is about 57049050 (70.50/cycle) Wed Apr 22 23:56:51 2015 distribution of cycle lengths: Wed Apr 22 23:56:51 2015 1 relations: 59181 Wed Apr 22 23:56:51 2015 2 relations: 79634 Wed Apr 22 23:56:51 2015 3 relations: 92131 Wed Apr 22 23:56:51 2015 4 relations: 95095 Wed Apr 22 23:56:51 2015 5 relations: 92729 Wed Apr 22 23:56:51 2015 6 relations: 85574 Wed Apr 22 23:56:51 2015 7 relations: 73823 Wed Apr 22 23:56:51 2015 8 relations: 61617 Wed Apr 22 23:56:51 2015 9 relations: 48862 Wed Apr 22 23:56:51 2015 10+ relations: 120548 Wed Apr 22 23:56:51 2015 heaviest cycle: 18 relations Wed Apr 22 23:56:51 2015 commencing cycle optimization Wed Apr 22 23:56:52 2015 start with 4706074 relations Wed Apr 22 23:56:56 2015 pruned 150410 relations Wed Apr 22 23:56:56 2015 memory use: 147.8 MB Wed Apr 22 23:56:56 2015 distribution of cycle lengths: Wed Apr 22 23:56:56 2015 1 relations: 59181 Wed Apr 22 23:56:56 2015 2 relations: 81470 Wed Apr 22 23:56:56 2015 3 relations: 95774 Wed Apr 22 23:56:56 2015 4 relations: 98813 Wed Apr 22 23:56:56 2015 5 relations: 96710 Wed Apr 22 23:56:56 2015 6 relations: 88671 Wed Apr 22 23:56:56 2015 7 relations: 75916 Wed Apr 22 23:56:56 2015 8 relations: 61618 Wed Apr 22 23:56:56 2015 9 relations: 48020 Wed Apr 22 23:56:56 2015 10+ relations: 103021 Wed Apr 22 23:56:56 2015 heaviest cycle: 18 relations Wed Apr 22 23:56:56 2015 RelProcTime: 250 Wed Apr 22 23:56:56 2015 Wed Apr 22 23:56:56 2015 commencing linear algebra Wed Apr 22 23:56:57 2015 read 809194 cycles Wed Apr 22 23:56:57 2015 cycles contain 2341506 unique relations Wed Apr 22 23:57:18 2015 read 2341506 relations Wed Apr 22 23:57:20 2015 using 20 quadratic characters above 268429164 Wed Apr 22 23:57:27 2015 building initial matrix Wed Apr 22 23:57:41 2015 memory use: 298.6 MB Wed Apr 22 23:57:42 2015 read 809194 cycles Wed Apr 22 23:57:42 2015 matrix is 809031 x 809194 (241.9 MB) with weight 72606649 (89.73/col) Wed Apr 22 23:57:42 2015 sparse part has weight 54520090 (67.38/col) Wed Apr 22 23:57:46 2015 filtering completed in 2 passes Wed Apr 22 23:57:46 2015 matrix is 808863 x 809034 (241.9 MB) with weight 72601381 (89.74/col) Wed Apr 22 23:57:46 2015 sparse part has weight 54518202 (67.39/col) Wed Apr 22 23:57:47 2015 matrix starts at (0, 0) Wed Apr 22 23:57:47 2015 matrix is 808863 x 809034 (241.9 MB) with weight 72601381 (89.74/col) Wed Apr 22 23:57:47 2015 sparse part has weight 54518202 (67.39/col) Wed Apr 22 23:57:47 2015 saving the first 48 matrix rows for later Wed Apr 22 23:57:47 2015 matrix includes 64 packed rows Wed Apr 22 23:57:48 2015 matrix is 808815 x 809034 (229.9 MB) with weight 57722823 (71.35/col) Wed Apr 22 23:57:48 2015 sparse part has weight 52177093 (64.49/col) Wed Apr 22 23:57:48 2015 using block size 65536 for processor cache size 8192 kB Wed Apr 22 23:57:49 2015 commencing Lanczos iteration (8 threads) Wed Apr 22 23:57:49 2015 memory use: 223.8 MB Wed Apr 22 23:57:53 2015 linear algebra at 0.4%, ETA 0h17m Thu Apr 23 00:15:30 2015 lanczos halted after 12793 iterations (dim = 808810) Thu Apr 23 00:15:30 2015 recovered 36 nontrivial dependencies Thu Apr 23 00:15:30 2015 BLanczosTime: 1114 Thu Apr 23 00:15:30 2015 Thu Apr 23 00:15:30 2015 commencing square root phase Thu Apr 23 00:15:30 2015 reading relations for dependency 1 Thu Apr 23 00:15:30 2015 read 404345 cycles Thu Apr 23 00:15:31 2015 cycles contain 1170900 unique relations Thu Apr 23 00:15:48 2015 read 1170900 relations Thu Apr 23 00:15:51 2015 multiplying 1170900 relations Thu Apr 23 00:16:15 2015 multiply complete, coefficients have about 33.99 million bits Thu Apr 23 00:16:15 2015 initial square root is modulo 75931 Thu Apr 23 00:16:47 2015 GCD is 1, no factor found Thu Apr 23 00:16:47 2015 reading relations for dependency 2 Thu Apr 23 00:16:47 2015 read 403562 cycles Thu Apr 23 00:16:47 2015 cycles contain 1168378 unique relations Thu Apr 23 00:17:05 2015 read 1168378 relations Thu Apr 23 00:17:07 2015 multiplying 1168378 relations Thu Apr 23 00:17:34 2015 multiply complete, coefficients have about 33.91 million bits Thu Apr 23 00:17:34 2015 initial square root is modulo 74101 Thu Apr 23 00:18:05 2015 GCD is N, no factor found Thu Apr 23 00:18:05 2015 reading relations for dependency 3 Thu Apr 23 00:18:06 2015 read 404752 cycles Thu Apr 23 00:18:06 2015 cycles contain 1170954 unique relations Thu Apr 23 00:18:23 2015 read 1170954 relations Thu Apr 23 00:18:28 2015 multiplying 1170954 relations Thu Apr 23 00:18:52 2015 multiply complete, coefficients have about 33.99 million bits Thu Apr 23 00:18:52 2015 initial square root is modulo 75991 Thu Apr 23 00:19:24 2015 sqrtTime: 234 -- n: 19850467393291891285693873357131718397424239649043963349083856833404155547321014524606842139070145633492829286635483113713575445117026488007128858654018130333648669351 m: 50000000000000000000000000000000000 deg: 5 c5: 112 c0: 415 skew: 1.30 # Murphy_E = 1.315e-10 type: snfs lss: 1 rlim: 5900000 alim: 5900000 lpbr: 28 lpba: 28 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5``` `yafu v1.34.3` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62651300Serge BatalovJanuary 9, 2015 00:08:07 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 7 秒 (日本時間)
1CypJanuary 9, 2015 01:06:18 UTC 2015 年 1 月 9 日 (金) 10 時 6 分 18 秒 (日本時間)
2350Ignacio SantosMarch 29, 2015 09:00:09 UTC 2015 年 3 月 29 日 (日) 18 時 0 分 9 秒 (日本時間)

## 7×10176+839

### c141

name 名前 Jo Yeong Uk August 23, 2015 21:29:25 UTC 2015 年 8 月 24 日 (月) 6 時 29 分 25 秒 (日本時間) `330217591279163439161382783628541240050427046915522896520116478290003614447419778546964373122686742849081344772835308763811992857914387006769<141>` ```3307167252466320091459410139179941049082395275771<49> 99849075075626628556123313004051421910690600295669826485824178569590691787199357353173772739<92>``` ```GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM] Input number is 330217591279163439161382783628541240050427046915522896520116478290003614447419778546964373122686742849081344772835308763811992857914387006769 (141 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3611699164 Step 1 took 25017ms Step 2 took 8577ms ********** Factor found in step 2: 3307167252466320091459410139179941049082395275771 Found probable prime factor of 49 digits: 3307167252466320091459410139179941049082395275771 Probable prime cofactor 99849075075626628556123313004051421910690600295669826485824178569590691787199357353173772739 has 92 digits``` `Core i7-4930K`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:08 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 8 秒 (日本時間)
4511e6600 / 4409KTakahashiApril 28, 2015 09:17:55 UTC 2015 年 4 月 28 日 (火) 18 時 17 分 55 秒 (日本時間)

## 7×10178+839

### c171

name 名前 Cyp May 2, 2015 09:19:40 UTC 2015 年 5 月 2 日 (土) 18 時 19 分 40 秒 (日本時間) `938629040836571637046685249644417149111936916941239126837384784793748269318899793210636013294902642244772650838457879149177828675607966455758062089318786353186557764779911<171>` ```2544386856821912416745896182584683188263<40> 368901858740527395173434732198710604289237487890773374692583198208911092154453159795502137951981009376752818307179457731050192916897<132>``` ```Run 56 out of 128: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1314859700 Step 1 took 49974ms Step 2 took 17277ms ********** Factor found in step 2: 2544386856821912416745896182584683188263 Found probable prime factor of 40 digits: 2544386856821912416745896182584683188263 Probable prime cofactor 368901858740527395173434732198710604289237487890773374692583198208911092154453159795502137951981009376752818307179457731050192916897 has 132 digits``` `GMP-ECM 6.4.4` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6282281CypJanuary 8, 2015 22:36:23 UTC 2015 年 1 月 9 日 (金) 7 時 36 分 23 秒 (日本時間)
1CypJanuary 9, 2015 07:18:34 UTC 2015 年 1 月 9 日 (金) 16 時 18 分 34 秒 (日本時間)
4511e6780 / 4413CypMay 2, 2015 09:17:53 UTC 2015 年 5 月 2 日 (土) 18 時 17 分 53 秒 (日本時間)

## 7×10181+839

### c144

name 名前 Jo Yeong Uk January 27, 2016 01:00:12 UTC 2016 年 1 月 27 日 (水) 10 時 0 分 12 秒 (日本時間) `401271632916776989329106573051140381417589371625969064319060436572713926867866744214176081635950721554448715777620375870963738189224400674246199<144>` ```576110213347187684469584318907899162334896605494030170185532728947461<69> 696518866738011146483455086212287163806627233609366076064258609327642786059<75>``` ```Number: 77787_181 N=401271632916776989329106573051140381417589371625969064319060436572713926867866744214176081635950721554448715777620375870963738189224400674246199 ( 144 digits) SNFS difficulty: 181 digits. Divisors found: r1=576110213347187684469584318907899162334896605494030170185532728947461 r2=696518866738011146483455086212287163806627233609366076064258609327642786059 Version: Total time: 68.93 hours. Scaled time: 362.30 units (timescale=5.256). Factorization parameters were as follows: n: 401271632916776989329106573051140381417589371625969064319060436572713926867866744214176081635950721554448715777620375870963738189224400674246199 m: 1000000000000000000000000000000000000 deg: 5 c5: 70 c0: 83 skew: 1.03 # Murphy_E = 6.399e-11 type: snfs lss: 1 rlim: 6200000 alim: 6200000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 6200000/6200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [3100000, 6400001) Primes: rational ideals reading, algebraic ideals reading, Relations: 18459941 Max relations in full relation-set: Initial matrix: Pruned matrix : 1494035 x 1494283 Total sieving time: 64.64 hours. Total relation processing time: 1.55 hours. Matrix solve time: 2.66 hours. Time per square root: 0.09 hours. Prototype def-par.txt line would be: snfs,181,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000 total time: 68.93 hours. --------- CPU info (if available) ----------``` `GGNFS / Msieve v1.39` `Core i7-4930K`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:08 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 8 秒 (日本時間)
4511e6600 / 4409KTakahashiMay 17, 2015 21:18:43 UTC 2015 年 5 月 18 日 (月) 6 時 18 分 43 秒 (日本時間)

## 7×10183+839

### c146

name 名前 Jo Yeong Uk April 22, 2016 01:37:34 UTC 2016 年 4 月 22 日 (金) 10 時 37 分 34 秒 (日本時間) `82510184673714138893012477134732141787298358470610214357792456344681148397544287885353688634299738732284371030281389379459689385446592293609520833<146>` ```2226667625428663143938240414210235390298458469562537823088440817<64> 37055456203451033935419698260668940341220521427789739312882113230100803066147882449<83>``` ```Number: 77787_183 N=82510184673714138893012477134732141787298358470610214357792456344681148397544287885353688634299738732284371030281389379459689385446592293609520833 ( 146 digits) SNFS difficulty: 184 digits. Divisors found: r1=2226667625428663143938240414210235390298458469562537823088440817 r2=37055456203451033935419698260668940341220521427789739312882113230100803066147882449 Version: Total time: 85.00 hours. Scaled time: 444.88 units (timescale=5.234). Factorization parameters were as follows: n: 82510184673714138893012477134732141787298358470610214357792456344681148397544287885353688634299738732284371030281389379459689385446592293609520833 m: 2000000000000000000000000000000000000 deg: 5 c5: 875 c0: 332 skew: 0.82 # Murphy_E = 4.926e-11 type: snfs lss: 1 rlim: 7200000 alim: 7200000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 7200000/7200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [3600000, 7600001) Primes: rational ideals reading, algebraic ideals reading, Relations: 19201819 Max relations in full relation-set: Initial matrix: Pruned matrix : 1499803 x 1500051 Total sieving time: 80.19 hours. Total relation processing time: 1.98 hours. Matrix solve time: 2.71 hours. Time per square root: 0.11 hours. Prototype def-par.txt line would be: snfs,184,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,53,53,2.5,2.5,100000 total time: 85.00 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49365464k/51380224k available (5398k kernel code, 1086460k absent, 928300k reserved, 7010k data, 1296k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.67 BogoMIPS (lpj=3399839) Total of 12 processors activated (81596.13 BogoMIPS).``` `GGNFS / Msieve v1.39` `Core i7-4930K`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:09 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 9 秒 (日本時間)
4511e6585 / 4409CypMay 16, 2015 16:23:07 UTC 2015 年 5 月 17 日 (日) 1 時 23 分 7 秒 (日本時間)

## 7×10184+839

### c172

name 名前 Serge Batalov January 9, 2015 03:54:30 UTC 2015 年 1 月 9 日 (金) 12 時 54 分 30 秒 (日本時間) `4681720894539733846066652008865209541797039760990986536752257524002668331453619461077489764994317991016468148248043933450041977974236662156923210582995464018128827640776891<172>` `5658602540510132742502497570503591<34>` `827363445483779933866091205161485347657733340488329680313088842986469064339914235000190334097835227297168856383950009924182693428449156301<138>` ```Input number is 4681720894539733846066652008865209541797039760990986536752257524002668331453619461077489764994317991016468148248043933450041977974236662156923210582995464018128827640776891 (172 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2721536232 Step 1 took 11737ms Step 2 took 10173ms ********** Factor found in step 2: 5658602540510132742502497570503591 Found probable prime factor of 34 digits: 5658602540510132742502497570503591 Composite cofactor 827363445483779933866091205161485347657733340488329680313088842986469064339914235000190334097835227297168856383950009924182693428449156301 has 138 digits```

### c138

name 名前 Jo Yeong Uk June 6, 2016 00:24:54 UTC 2016 年 6 月 6 日 (月) 9 時 24 分 54 秒 (日本時間) `827363445483779933866091205161485347657733340488329680313088842986469064339914235000190334097835227297168856383950009924182693428449156301<138>` ```1975479854516259255584539302043660768302018785972073112256312899<64> 418816442796061067237606934612897941174956969775520394213526300506409850799<75>``` ```Number: 77787_184 N=827363445483779933866091205161485347657733340488329680313088842986469064339914235000190334097835227297168856383950009924182693428449156301 ( 138 digits) SNFS difficulty: 185 digits. Divisors found: r1=1975479854516259255584539302043660768302018785972073112256312899 r2=418816442796061067237606934612897941174956969775520394213526300506409850799 Version: Total time: 74.87 hours. Scaled time: 383.70 units (timescale=5.125). Factorization parameters were as follows: n: 827363445483779933866091205161485347657733340488329680313088842986469064339914235000190334097835227297168856383950009924182693428449156301 m: 10000000000000000000000000000000000000 deg: 5 c5: 7 c0: 830 skew: 2.60 # Murphy_E = 5.192e-11 type: snfs lss: 1 rlim: 7400000 alim: 7400000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 7400000/7400000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved rational special-q in [3700000, 7100001) Primes: rational ideals reading, algebraic ideals reading, Relations: 20562509 Max relations in full relation-set: Initial matrix: Pruned matrix : 1546785 x 1547033 Total sieving time: 70.00 hours. Total relation processing time: 1.85 hours. Matrix solve time: 2.94 hours. Time per square root: 0.08 hours. Prototype def-par.txt line would be: snfs,185,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,54,54,2.5,2.5,100000 total time: 74.87 hours. --------- CPU info (if available) ----------``` `GGNFS / Msieve v1.39` `Core i7-4930K`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:09 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 9 秒 (日本時間)
4511e6789 / 3935Pierre JammesFebruary 5, 2015 07:11:37 UTC 2015 年 2 月 5 日 (木) 16 時 11 分 37 秒 (日本時間)
5043e6135 / 7364Pierre JammesMarch 23, 2015 08:39:49 UTC 2015 年 3 月 23 日 (月) 17 時 39 分 49 秒 (日本時間)

## 7×10188+839

### c180

name 名前 Kenji Ibusuki March 23, 2018 14:21:49 UTC 2018 年 3 月 23 日 (金) 23 時 21 分 49 秒 (日本時間) `141356298673735573678729484724863790287271844842998649717583614776399665537184808185513371498003288464871204235315966911964614424763554394526000273967488961235729137843170784734793<180>` ```33382295517896995166681387376278786397293625035062003<53> 4234469094492057946139246555144425419363551575526499243287209301874857406052617168626367909050310488264006796040119457200670931<127>``` ```Number: 77787_188 N=141356298673735573678729484724863790287271844842998649717583614776399665537184808185513371498003288464871204235315966911964614424763554394526000273967488961235729137843170784734793 ( 180 digits) SNFS difficulty: 188 digits. Divisors found: (Total dependency: 1) r1=33382295517896995166681387376278786397293625035062003 (pp53) r2=4234469094492057946139246555144425419363551575526499243287209301874857406052617168626367909050310488264006796040119457200670931 (pp127) Msieve version: Msieve v. 1.49 (SVN unknown) GGNFS version: GGNFS-0.77.1-VC8(UTE) Total time: 376.53 hours (18.84 calendar hours). Scaled time: 1578.03 units (timescale=4.191). Factorization parameters were as follows: n: 141356298673735573678729484724863790287271844842998649717583614776399665537184808185513371498003288464871204235315966911964614424763554394526000273967488961235729137843170784734793 m: 10000000000000000000000000000000000000 deg: 5 c5: 7000 c0: 83 skew: 0.41 # Murphy_E = 3.081e-11 type: snfs lss: 1 rlim: 9800000 alim: 9800000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 relslim: 28300000 qintsize: 5000 Polynomial score was as follows: skew 0.41, size 2.257e-013, alpha 0.020, combined = 3.462e-011 rroots = 1 Factor base limits: 9800000/9800000 Large primes per side: 3 Large prime bits: 28/28 Sieved special-q in [4900000, 26080001) Relations: raw-rels:28455608 rels:24103991, finalFF:1735730 Pruned matrix : 1735280 x 1735506 Total sieving time: 363.73 hours (16.82 calendar hours). Total relation processing time: 0.11 hours. Total matrix build processing time: 0.03 hours. Matrix pruned processing time: (N/A) Matrix solve time: 12.57 hours (1.80 calendar hours). Total time of square root: 0.08 hours. Prototype def-par.txt line would be: snfs,188,5,0,0,0,0,0,0,0,0,9800000,9800000,28,28,54,54,2.5,2.5,100000 total time: 376.53 hours (18.84 calendar hours). --------- CPU info (if available) ----------``` ```Msieve v. 1.49 (SVN unknown) + GGNFS-0.77.1-VC8 with factMsieve.pl (decomposed + modified) snfs (without procrels.exe, matbuild.exe for "finalFF" calculation)``` ```[Envilonment] PC #1 (Master) --- Intel Core i7 2600, 16GB RAM, Windows 7 64bit PC #2,3 (Slave) --- Intel Core i7 4770, 16GB RAM, Windows 7 64bit PC #4 (Slave) --- Intel Core 2 Quad Q6600, 4GB RAM, Windows Vista 32bit [Threads used] (Sieving) PC #1 --- 7 threads used PC #2,3 --- 7 threads used x 2 PC #4 --- 4 threads used (Relation processing and Matrix build processing) PC #1 --- 1 thread used (Matrix solve) PC #1 --- 7 threads used (Square root processing) PC #1 --- 1 thread used```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:08:10 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 10 秒 (日本時間)
1CypJanuary 9, 2015 00:25:29 UTC 2015 年 1 月 9 日 (金) 9 時 25 分 29 秒 (日本時間)
4511e6585 / 4409CypMay 20, 2015 06:56:47 UTC 2015 年 5 月 20 日 (水) 15 時 56 分 47 秒 (日本時間)

## 7×10190+839

### c172

name 名前 Cyp August 9, 2015 09:54:12 UTC 2015 年 8 月 9 日 (日) 18 時 54 分 12 秒 (日本時間) `1056622865070797471970554124425391906229202355462571439458356097524712815054700601684700506287669431163620007052240459324900792757118784991109516246800014055979535815964161<172>` `26997545881794381039857539608187284049<38>` `39137737544630832859151269699362512181684387736562400018507901550481209290051166982282611746339024237946927511698641374411490014426289<134>` ```Run 159 out of 585: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2910075065 Step 1 took 50731ms Step 2 took 17563ms ********** Factor found in step 2: 26997545881794381039857539608187284049 Found probable prime factor of 38 digits: 26997545881794381039857539608187284049 Composite cofactor 39137737544630832859151269699362512181684387736562400018507901550481209290051166982282611746339024237946927511698641374411490014426289 has 134 digits``` `GMP-ECM 6.4.4` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### c134

name 名前 Jo Yeong Uk April 2, 2017 03:10:57 UTC 2017 年 4 月 2 日 (日) 12 時 10 分 57 秒 (日本時間) `39137737544630832859151269699362512181684387736562400018507901550481209290051166982282611746339024237946927511698641374411490014426289<134>` ```150723777674012869889595110467980937630412309<45> 259665317235336181752996974630269296126967019166574772527004194063956840225075548457234221<90>``` ```GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM] Input number is 39137737544630832859151269699362512181684387736562400018507901550481209290051166982282611746339024237946927511698641374411490014426289 (134 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=5365003230 Step 1 took 19771ms Step 2 took 7828ms ********** Factor found in step 2: 150723777674012869889595110467980937630412309 Found probable prime factor of 45 digits: 150723777674012869889595110467980937630412309 Probable prime cofactor 259665317235336181752996974630269296126967019166574772527004194063956840225075548457234221 has 90 digits``` `Core i7-4930K`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:10 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 10 秒 (日本時間)
4511e6692 / 4409542CypAugust 4, 2015 18:16:40 UTC 2015 年 8 月 5 日 (水) 3 時 16 分 40 秒 (日本時間)
150Dmitry DomanovJanuary 13, 2017 08:34:39 UTC 2017 年 1 月 13 日 (金) 17 時 34 分 39 秒 (日本時間)

## 7×10191+839

### c139

name 名前 Pierre Jammes February 5, 2015 14:08:41 UTC 2015 年 2 月 5 日 (木) 23 時 8 分 41 秒 (日本時間) `6966344297407170732680563463971721788927954796521313875749027003244548969108380967514366217834779355460278129876803205006494033547413943807<139>` ```6784231840920749937465322023034788726547<40> 1026843489544087375100107422733808850541568403528833055565144826662239835581966667665185804193060581<100>``` ```Using B1=11000000, B2=144269945836, polynomial Dickson(12), sigma=3309259394 Step 1 took 74780ms Step 2 took 58540ms ********** Factor found in step 2: 6784231840920749937465322023034788726547 Found probable prime factor of 40 digits: 6784231840920749937465322023034788726547 Probable prime cofactor 1026843489544087375100107422733808850541568403528833055565144826662239835581966667665185804193060581 has 100 digits``` `GMP-ECM 6.4.4` `Debian 8`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:08:11 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 11 秒 (日本時間)

## 7×10192+839

### c185

name 名前 Serge Batalov January 9, 2015 03:54:34 UTC 2015 年 1 月 9 日 (金) 12 時 54 分 34 秒 (日本時間) `29311008360952573100995354527595880987641796347256275856418149639338719700095792143881810845653451517998908315680883230122363871019956052497741136672445918185195685504989920718872746521<185>` `83295391347413559220439902242077<32>` `351892318252043625735799850585242061013078830644264467749616631391337663378767168735900408719078926715739857654203827284401312209123214244843891984073773<153>` ```Input number is 29311008360952573100995354527595880987641796347256275856418149639338719700095792143881810845653451517998908315680883230122363871019956052497741136672445918185195685504989920718872746521 (185 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1003105425 Step 1 took 13832ms Step 2 took 9931ms ********** Factor found in step 2: 83295391347413559220439902242077 Found probable prime factor of 32 digits: 83295391347413559220439902242077 Composite cofactor 351892318252043625735799850585242061013078830644264467749616631391337663378767168735900408719078926715739857654203827284401312209123214244843891984073773 has 153 digits```

### c153

name 名前 Dmitry Domanov May 6, 2019 08:14:55 UTC 2019 年 5 月 6 日 (月) 17 時 14 分 55 秒 (日本時間) `351892318252043625735799850585242061013078830644264467749616631391337663378767168735900408719078926715739857654203827284401312209123214244843891984073773<153>` ```823972266139353115721188336111014962096696332334371350727<57> 427068158374799410106555262070451891885287768976357864772556914698782698384607600646392204443499<96>``` ```Number: 77787 N=351892318252043625735799850585242061013078830644264467749616631391337663378767168735900408719078926715739857654203827284401312209123214244843891984073773 ( 153 digits) SNFS difficulty: 192 digits. Divisors found: r1=823972266139353115721188336111014962096696332334371350727 (pp57) r2=427068158374799410106555262070451891885287768976357864772556914698782698384607600646392204443499 (pp96) Version: Msieve v. 1.52 (SVN exported) Total time: 566.30 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 351892318252043625735799850585242061013078830644264467749616631391337663378767168735900408719078926715739857654203827284401312209123214244843891984073773 m: 100000000000000000000000000000000000000 deg: 5 c5: 700 c0: 83 skew: 0.65 # Murphy_E = 2.302e-11 type: snfs lss: 1 rlim: 11500000 alim: 11500000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 11500000/11500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved rational special-q in [5750000, 12650001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 2370872 x 2371098 Total sieving time: 554.39 hours. Total relation processing time: 0.40 hours. Matrix solve time: 8.78 hours. Time per square root: 2.73 hours. Prototype def-par.txt line would be: snfs,192.000,5,0,0,0,0,0,0,0,0,11500000,11500000,28,28,55,55,2.5,2.5,100000 total time: 566.30 hours. --------- CPU info (if available) ---------- [ 0.030717] smpboot: CPU0: Intel(R) Xeon(R) CPU E5-2620 0 @ 2.00GHz (fam: 06, model: 2d, stepping: 07) [ 0.000000] Memory: 8180304K/8388072K available (5291K kernel code, 949K rwdata, 1836K rodata, 1208K init, 840K bss, 207768K reserved) [ 0.008000] Calibrating delay loop (skipped) preset value.. 4000.04 BogoMIPS (lpj=8000096) [ 0.124067] smpboot: Total of 8 processors activated (32000.38 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:11 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 11 秒 (日本時間)
4511e6985 / 3988585CypFebruary 2, 2015 18:17:59 UTC 2015 年 2 月 3 日 (火) 3 時 17 分 59 秒 (日本時間)
400Dmitry DomanovJanuary 23, 2019 14:20:38 UTC 2019 年 1 月 23 日 (水) 23 時 20 分 38 秒 (日本時間)
5043e6120 / 7320Dmitry DomanovMarch 3, 2019 23:10:06 UTC 2019 年 3 月 4 日 (月) 8 時 10 分 6 秒 (日本時間)

## 7×10194+839

### c171

name 名前 Eric Jeancolas December 3, 2020 06:29:36 UTC 2020 年 12 月 3 日 (木) 15 時 29 分 36 秒 (日本時間) `418512770341744160844946236642683683690185311656347544249832522057935064806620220200172752711364269650863624472710463890098595232192508973824955924193849526851232310860943<171>` ```169896890601161620080847466769317520652030991<45> 2463333901290849773323482201519763409114484398148987162024419343842953069907993633430473374075799528373406887794688262474444673<127>``` ```418512770341744160844946236642683683690185311656347544249832522057935064806620220200172752711364269650863624472710463890098595232192508973824955924193849526851232310860943=169896890601161620080847466769317520652030991*2463333901290849773323482201519763409114484398148987162024419343842953069907993633430473374075799528373406887794688262474444673 cado polynomial n: 418512770341744160844946236642683683690185311656347544249832522057935064806620220200172752711364269650863624472710463890098595232192508973824955924193849526851232310860943 skew: 1.30 type: snfs c0: 415 c5: 112 Y0: 500000000000000000000000000000000000000 Y1: -1 # f(x) = 112*x^5+415 # g(x) = -x+500000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 12700000 tasks.lim1 = 12700000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 55 tasks.sieve.mfb1 = 55 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 2463333901290849773323482201519763409114484398148987162024419343842953069907993633430473374075799528373406887794688262474444673 169896890601161620080847466769317520652030991 Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info) Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info) Info:Generate Factor Base: Total cpu/real time for makefb: 5.48/2.3128 Info:Generate Free Relations: Total cpu/real time for freerel: 99.45/25.6809 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 29200854 Info:Lattice Sieving: Average J: 1893.41 for 3398608 special-q, max bucket fill -bkmult 1.0,1s:1.119890 Info:Lattice Sieving: Total time: 1.00533e+06s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 56.02/148.212 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 147.1s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 485.72/490.816 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 430.3999999999999s Info:Filtering - Singleton removal: Total cpu/real time for purge: 416.12/485.779 Info:Filtering - Merging: Merged matrix has 2569447 rows and total weight 438385940 (170.6 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 362.32/104.541 Info:Filtering - Merging: Total cpu/real time for replay: 98.9/85.4068 Info:Linear Algebra: Total cpu/real time for bwc: 115399/29590.7 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 18860.21, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (80384 iterations) Info:Linear Algebra: Lingen CPU time 520.7, WCT time 150.86 Info:Linear Algebra: Mksol: WCT time 10319.35, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (40448 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 89.3/38.2417 Info:Square Root: Total cpu/real time for sqrt: 692.89/220.077 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.97088e+06/93166 Info:root: Cleaning up computation data in /tmp/cado.ayycwnl7 2463333901290849773323482201519763409114484398148987162024419343842953069907993633430473374075799528373406887794688262474444673 169896890601161620080847466769317520652030991``` `cado-nfs-3.0.0` ```Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:12 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 12 秒 (日本時間)
4511e6985 / 3988585CypJuly 2, 2015 05:14:07 UTC 2015 年 7 月 2 日 (木) 14 時 14 分 7 秒 (日本時間)
400Dmitry DomanovJanuary 23, 2019 14:21:10 UTC 2019 年 1 月 23 日 (水) 23 時 21 分 10 秒 (日本時間)
5043e6120 / 7320Dmitry DomanovMarch 3, 2019 19:06:46 UTC 2019 年 3 月 4 日 (月) 4 時 6 分 46 秒 (日本時間)

## 7×10198+839

### c184

name 名前 Bob Backstrom March 18, 2021 07:57:36 UTC 2021 年 3 月 18 日 (木) 16 時 57 分 36 秒 (日本時間) `1225528163533451541257452610540975138185049904601853907590369821701543109305867748319947744262645465731909008843992684595875878563781098538515612920032777917522587940505310149412919901<184>` ```3828605841984252984900543875427634826391032153<46> 519950232611023834755387886805800495780384281448437208230114767<63> 615631540152909601512756736335898623177281138707189776016745279377483999051<75>``` ```Number: n N=1225528163533451541257452610540975138185049904601853907590369821701543109305867748319947744262645465731909008843992684595875878563781098538515612920032777917522587940505310149412919901 ( 184 digits) SNFS difficulty: 198 digits. Divisors found: Thu Mar 18 18:49:30 2021 found factor: 615631540152909601512756736335898623177281138707189776016745279377483999051 Thu Mar 18 18:52:29 2021 p46 factor: 3828605841984252984900543875427634826391032153 Thu Mar 18 18:52:29 2021 p63 factor: 519950232611023834755387886805800495780384281448437208230114767 Thu Mar 18 18:52:29 2021 p75 factor: 615631540152909601512756736335898623177281138707189776016745279377483999051 Thu Mar 18 18:52:29 2021 elapsed time 01:32:36 (Msieve 1.54 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.329). Factorization parameters were as follows: # # N = 7x10^198+83 = 7(196)87 # n: 1225528163533451541257452610540975138185049904601853907590369821701543109305867748319947744262645465731909008843992684595875878563781098538515612920032777917522587940505310149412919901 m: 1000000000000000000000000000000000000000 deg: 5 c5: 7000 c0: 83 skew: 0.41 # Murphy_E = 1.19e-11 type: snfs lss: 1 rlim: 14400000 alim: 14400000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 14400000/14400000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 27200000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 4519490 hash collisions in 30097871 relations (27017103 unique) Msieve: matrix is 1973542 x 1973767 (687.2 MB) Sieving start time : 2021/03/18 08:22:14 Sieving end time : 2021/03/18 17:19:17 Total sieving time: 8hrs 57min 3secs. Total relation processing time: 1hrs 14min 50sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 8min 57sec. Prototype def-par.txt line would be: snfs,198,5,0,0,0,0,0,0,0,0,14400000,14400000,28,28,55,55,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.116745] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved) [ 0.152613] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.17 BogoMIPS (lpj=12798352) [ 0.150217] smpboot: Total of 16 processors activated (102386.81 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:08:12 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 12 秒 (日本時間)
1CypJanuary 9, 2015 01:07:13 UTC 2015 年 1 月 9 日 (金) 10 時 7 分 13 秒 (日本時間)
4511e61063 / 2479513CypAugust 4, 2015 18:16:38 UTC 2015 年 8 月 5 日 (水) 3 時 16 分 38 秒 (日本時間)
150Dmitry DomanovJanuary 13, 2017 08:35:12 UTC 2017 年 1 月 13 日 (金) 17 時 35 分 12 秒 (日本時間)
400Dmitry DomanovJanuary 23, 2019 14:21:32 UTC 2019 年 1 月 23 日 (水) 23 時 21 分 32 秒 (日本時間)
5043e6550 / 7303150Dmitry DomanovMarch 1, 2019 19:19:24 UTC 2019 年 3 月 2 日 (土) 4 時 19 分 24 秒 (日本時間)
400Dmitry DomanovApril 29, 2019 23:04:14 UTC 2019 年 4 月 30 日 (火) 8 時 4 分 14 秒 (日本時間)

## 7×10199+839

### c178

name 名前 Serge Batalov January 9, 2015 03:54:38 UTC 2015 年 1 月 9 日 (金) 12 時 54 分 38 秒 (日本時間) `1098211631969630367425290650391535505977201118716681647497949402840627844220157651316680759722133904336033618927847806831168890245448786230635759766939412218352669370146318710761<178>` ```720960916392418671629234553031<30> 1523260979894608208068802353055623526668960025822646633355017762331388613482174853994187832814638399232896229429349123250381337880925042564298682831<148>``` ```Input number is 1098211631969630367425290650391535505977201118716681647497949402840627844220157651316680759722133904336033618927847806831168890245448786230635759766939412218352669370146318710761 (178 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=879835839 Step 1 took 15397ms Step 2 took 11254ms ********** Factor found in step 2: 720960916392418671629234553031 Found probable prime factor of 30 digits: 720960916392418671629234553031 Probable prime cofactor 1523260979894608208068802353055623526668960025822646633355017762331388613482174853994187832814638399232896229429349123250381337880925042564298682831 has 148 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:08:13 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 13 秒 (日本時間)

## 7×10200+839

### c189

name 名前 Eric Jeancolas March 28, 2021 19:24:28 UTC 2021 年 3 月 29 日 (月) 4 時 24 分 28 秒 (日本時間) `728767322404114602226365404602456673795747326280688284959490226319992312131155383082528903084352210712385928422029526276543002084435294612839836829385009167352446381024181673352812464164533<189>` ```2462506259545525271134191258675097879444407988439526369333889312171519051611064203946378172449<94> 295945368495678176806961944608625716173150609357487807114699066967972734843591189474229281412117<96>``` ```728767322404114602226365404602456673795747326280688284959490226319992312131155383082528903084352210712385928422029526276543002084435294612839836829385009167352446381024181673352812464164533=2462506259545525271134191258675097879444407988439526369333889312171519051611064203946378172449*295945368495678176806961944608625716173150609357487807114699066967972734843591189474229281412117 cado polynomial n: 728767322404114602226365404602456673795747326280688284959490226319992312131155383082528903084352210712385928422029526276543002084435294612839836829385009167352446381024181673352812464164533 skew: 1.64 type: snfs c0: 83 c5: 7 Y0: 10000000000000000000000000000000000000000 Y1: -1 # f(x) = 7*x^5+83 # g(x) = -x+10000000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 15600000 tasks.lim1 = 15600000 tasks.lpb0 = 29 tasks.lpb1 = 29 tasks.sieve.mfb0 = 56 tasks.sieve.mfb1 = 56 tasks.sieve.lambda0 = 2.6 tasks.sieve.lambda1 = 2.6 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 295945368495678176806961944608625716173150609357487807114699066967972734843591189474229281412117 2462506259545525271134191258675097879444407988439526369333889312171519051611064203946378172449 Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info) Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info) Info:Generate Factor Base: Total cpu/real time for makefb: 6.47/2.44421 Info:Generate Free Relations: Total cpu/real time for freerel: 202.97/52.6326 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 47888283 Info:Lattice Sieving: Average J: 1893.76 for 4236874 special-q, max bucket fill -bkmult 1.0,1s:1.091360 Info:Lattice Sieving: Total time: 1.25172e+06s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 89.79/240.289 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 239.60000000000002s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 808.05/784.155 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 676.9999999999999s Info:Filtering - Singleton removal: Total cpu/real time for purge: 626.7/705.388 Info:Filtering - Merging: Merged matrix has 3433154 rows and total weight 590702173 (172.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 504.63/145.687 Info:Filtering - Merging: Total cpu/real time for replay: 148.68/133.701 Info:Linear Algebra: Total cpu/real time for bwc: 219080/56077.7 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 35936.91, iteration CPU time 0.32, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (107520 iterations) Info:Linear Algebra: Lingen CPU time 755.44, WCT time 218.31 Info:Linear Algebra: Mksol: WCT time 19480.06, iteration CPU time 0.35, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (53760 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 125.53/53.0361 Info:Square Root: Total cpu/real time for sqrt: 1702.85/531.075 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.44866e+06/65082.8 295945368495678176806961944608625716173150609357487807114699066967972734843591189474229281412117 2462506259545525271134191258675097879444407988439526369333889312171519051611064203946378172449``` `cado-nfs-3.0.0` ```6 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:13 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 13 秒 (日本時間)
4511e61385585CypJune 9, 2015 22:33:20 UTC 2015 年 6 月 10 日 (水) 7 時 33 分 20 秒 (日本時間)
800Dmitry DomanovNovember 26, 2018 06:19:42 UTC 2018 年 11 月 26 日 (月) 15 時 19 分 42 秒 (日本時間)
5043e6900 / 7231300Dmitry DomanovFebruary 13, 2019 13:53:34 UTC 2019 年 2 月 13 日 (水) 22 時 53 分 34 秒 (日本時間)
600Dmitry DomanovFebruary 25, 2019 22:17:33 UTC 2019 年 2 月 26 日 (火) 7 時 17 分 33 秒 (日本時間)

## 7×10202+839

### c174

name 名前 Bob Backstrom July 24, 2021 04:09:41 UTC 2021 年 7 月 24 日 (土) 13 時 9 分 41 秒 (日本時間) `624541982222147377003268147008830098403362138516124122902963752457073983162353197401198601652926235857951892592680716520297863626518171015112490552641682147176014569547658099<174>` ```647264698473458320092301417475187201216291344179<48> 24284941960133782206414720115031021160232535247527<50> 39732203028504684393261641908522789676065283732007278665322327710942185583703<77>``` ```# # N = 7x10^202+83 = 7(200)87 # n: 624541982222147377003268147008830098403362138516124122902963752457073983162353197401198601652926235857951892592680716520297863626518171015112490552641682147176014569547658099 m: 10000000000000000000000000000000000000000 deg: 5 c5: 700 c0: 83 skew: 0.65 # Murphy_E = 8.825e-12 type: snfs lss: 1 rlim: 16800000 alim: 16800000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 624541982222147377003268147008830098403362138516124122902963752457073983162353197401198601652926235857951892592680716520297863626518171015112490552641682147176014569547658099 (174 digits) Using B1=44130000, B2=240491351116, polynomial Dickson(12), sigma=1:1600550985 Step 1 took 118861ms Step 2 took 39148ms ********** Factor found in step 2: 24284941960133782206414720115031021160232535247527 Found prime factor of 50 digits: 24284941960133782206414720115031021160232535247527 Composite cofactor 25717252412931312034831888528810931500155137977179051188076958625422808664105165492494980469514508582394205271758197586314837 has 125 digits CADO STA:Sat 24 Jul 2021 09:48:35 AEST (25,717,252,412,931,312,034,831,888,528,810,931,500,155,137,977,179,051,188,076,958,625,422,808,664,105,165,492,494,980,469,514,508,582,394,205,271,758,197,586,314,837 - C125) /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 25717252412931312034831888528810931500155137977179051188076958625422808664105165492494980469514508582394205271758197586314837 2>&1 | tee -a log35 Debug:root: Looking for parameter file for c125 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125 Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125 Info:root: No database exists yet Info:root: Created temporary directory /tmp/cado.plz4z7nb Info:Database: Opened connection to database /tmp/cado.plz4z7nb/c125.db Info:root: tasks.polyselect.threads = 2 Info:root: tasks.sieve.las.threads = 2 Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0 Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 2571725241293131203483188852881093150015513797717905118807695862542280866410516549249 4980469514508582394205271758197586314837 Debug:root: Root parameter dictionary: N = 25717252412931312034831888528810931500155137977179051188076958625422808664105165492494980469514508582394205271758197586314837 ... n: 25717252412931312034831888528810931500155137977179051188076958625422808664105165492494980469514508582394205271758197586314837 skew: 12891.352 c0: 829551577306527711437469507 c1: -178713663993106199147891 c2: -26726695764330832257 c3: 740947818815186 c4: 55803930195 c5: -3105900 Y0: -660273242810378453946112 Y1: 375215209859627191 # MurphyE (Bf=9.21e+06,Bg=2.38e+06,area=3.09e+14) = 6.02e-10 # f(x) = -3105900*x^5+55803930195*x^4+740947818815186*x^3-26726695764330832257*x^2-178713663993106199147891*x+829551577306527711437469507 # g(x) = 375215209859627191*x-660273242810378453946112 ... Info:Square Root: Factors: 647264698473458320092301417475187201216291344179 39732203028504684393261641908522789676065283732007278665322327710942185583703 Debug:Square Root: Exit SqrtTask.run(sqrt) Info:Square Root: Total cpu/real time for sqrt: 699.15/97.3589 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 21528.1 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21744/37.470/44.292/47.910/0.861 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 21744/36.230/40.033/45.100/1.295 Info:Polynomial Selection (size optimized): Total time: 1761.19 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 987.14 Info:Polynomial Selection (root optimized): Rootsieve time: 986.22 Info:Generate Factor Base: Total cpu/real time for makefb: 11.86/1.10971 Info:Generate Free Relations: Total cpu/real time for freerel: 148.4/9.94542 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 13057997 Info:Lattice Sieving: Average J: 3792.86 for 229795 special-q, max bucket fill: 0.732865 Info:Lattice Sieving: Total CPU time: 158888s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 33.4/39.9395 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 39.8s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 189.6/59.2876 Info:Filtering - Singleton removal: Total cpu/real time for purge: 122.33/49.2336 Info:Filtering - Merging: Total cpu/real time for merge: 268.2/219.743 Info:Filtering - Merging: Total cpu/real time for replay: 24.25/18.2763 Info:Linear Algebra: Total cpu/real time for bwc: 11860.9/0.00034523 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 492.85 Info:Linear Algebra: Lingen CPU time 154.63, WCT time 15.44 Info:Linear Algebra: Mksol: WCT time 266.44 Info:Quadratic Characters: Total cpu/real time for characters: 26.37/6.2352 Info:Square Root: Total cpu/real time for sqrt: 699.15/97.3589 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 175021/11936.4 Info:root: Cleaning up computation data in /tmp/cado.plz4z7nb 647264698473458320092301417475187201216291344179 39732203028504684393261641908522789676065283732007278665322327710942185583703 END:Sat 24 Jul 2021 13:07:32 AEST (25,717,252,412,931,312,034,831,888,528,810,931,500,155,137,977,179,051,188,076,958,625,422,808,664,105,165,492,494,980,469,514,508,582,394,205,271,758,197,586,314,837 - C125)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:14 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 14 秒 (日本時間)
4511e61385585CypMay 20, 2015 08:33:59 UTC 2015 年 5 月 20 日 (水) 17 時 33 分 59 秒 (日本時間)
800Dmitry DomanovNovember 11, 2018 01:29:36 UTC 2018 年 11 月 11 日 (日) 10 時 29 分 36 秒 (日本時間)
5043e61700 / 7231300Dmitry DomanovFebruary 13, 2019 14:27:34 UTC 2019 年 2 月 13 日 (水) 23 時 27 分 34 秒 (日本時間)
600Dmitry DomanovFebruary 26, 2019 05:50:16 UTC 2019 年 2 月 26 日 (火) 14 時 50 分 16 秒 (日本時間)
800Dmitry DomanovMarch 19, 2019 12:54:24 UTC 2019 年 3 月 19 日 (火) 21 時 54 分 24 秒 (日本時間)

## 7×10205+839

### c178

name 名前 Bob Backstrom July 10, 2021 23:11:48 UTC 2021 年 7 月 11 日 (日) 8 時 11 分 48 秒 (日本時間) `9406460451499326868626469973960358663626131820368495368095575076245852158225610732515090877045392526945086492867886601872169161631345912444664042828932085048967501925640974649179<178>` ```259820792120010860707501174490662164988986917<45> 452036449172060954593498656771576334490636417674205450483531<60> 80090107503087677798432798612249283384093551023116206472079273248906728477<74>``` ```# # N = 7x10^205+83 = 7(203)87 # n: 9406460451499326868626469973960358663626131820368495368095575076245852158225610732515090877045392526945086492867886601872169161631345912444664042828932085048967501925640974649179 m: 100000000000000000000000000000000000000000 deg: 5 c5: 7 c0: 83 skew: 1.64 # Murphy_E = 8.263e-12 type: snfs lss: 1 rlim: 18900000 alim: 18900000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 9406460451499326868626469973960358663626131820368495368095575076245852158225610732515090877045392526945086492867886601872169161631345912444664042828932085048967501925640974649179 (178 dig its) Using B1=49830000, B2=288591693406, polynomial Dickson(12), sigma=1:1231879839 Step 1 took 132695ms Step 2 took 43804ms ********** Factor found in step 2: 259820792120010860707501174490662164988986917 Found prime factor of 45 digits: 259820792120010860707501174490662164988986917 Composite cofactor 36203647809504390758136895061229945197578152108606777906563997239515777203313539204886726260957496351584131033250232863180718977212287 has 134 digits CADO STA:Sat 10 Jul 2021 23:11:37 AEST (36,203,647,809,504,390,758,136,895,061,229,945,197,578,152,108,606,777,906,563,997,239,515,777,203,313,539,204,886,726,260,957,496,351,584,131,033,250,232,863,180,718,9 77,212,287 - C134) /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors 36203647809504390758136895061229945197578152108606777906563997239515777203313539204886726260957496351584131033250232863180718977212287 2>&1 | tee -a log23 Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c135 Info:root: No database exists yet Info:root: Created temporary directory /tmp/cado.j5ww0mec Info:Database: Opened connection to database /tmp/cado.j5ww0mec/c135.db Info:root: tasks.polyselect.threads = 2 Info:root: tasks.sieve.las.threads = 2 Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0 Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors 3620364780950439075813689506122994519757815210860677790656399723951577720331353920488672626095749635158 4131033250232863180718977212287 Info:root: If this computation gets interrupted, it can be resumed with /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py /tmp/cado.j5ww0mec/c135.parameters_snapshot.0 Info:Server Launcher: Adding linux-6 to whitelist to allow clients on localhost to connect Info:HTTP server: Using non-threaded HTTPS server Info:HTTP server: Using whitelist: localhost,linux-6 Info:Complete Factorization: Factoring 36203647809504390758136895061229945197578152108606777906563997239515777203313539204886726260957496351584131033250232863180718977212287 ... n: 36203647809504390758136895061229945197578152108606777906563997239515777203313539204886726260957496351584131033250232863180718977212287 skew: 139918.049 c0: -9918999830717482600588964277840 c1: -1308630889562949086681425187 c2: -51941080291902758070 c3: 49911088934424341 c4: -137980235736 c5: 811440 Y0: -48503073914068286527931714 Y1: 791165472850530929 # MurphyE (Bf=1.64e+07,Bg=3.34e+06,area=5.51e+14) = 4.18e-10 # f(x) = 811440*x^5-137980235736*x^4+49911088934424341*x^3-51941080291902758070*x^2-1308630889562949086681425187*x-9918999830717482600588964277840 # g(x) = 791165472850530929*x-48503073914068286527931714 ... Info:Square Root: Factors: 80090107503087677798432798612249283384093551023116206472079273248906728477 452036449172060954593498656771576334490636417674205450483531 Info:Square Root: Total cpu/real time for sqrt: 1090.14/153.444 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 35600.4 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 36149/39.580/48.004/53.510/0.998 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 36149/38.030/42.941/48.590/1.254 Info:Polynomial Selection (size optimized): Total time: 8957.69 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 2706.74 Info:Polynomial Selection (root optimized): Rootsieve time: 2705.75 Info:Generate Factor Base: Total cpu/real time for makefb: 21.43/1.95071 Info:Generate Free Relations: Total cpu/real time for freerel: 308.2/20.6905 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 19126326 Info:Lattice Sieving: Average J: 3789.15 for 619977 special-q, max bucket fill: 0.759187 Info:Lattice Sieving: Total CPU time: 486977s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 52.44/67.1452 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 67.1s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 307.96/92.7644 Info:Filtering - Singleton removal: Total cpu/real time for purge: 240.1/86.9794 Info:Filtering - Merging: Total cpu/real time for merge: 472.58/391.564 Info:Filtering - Merging: Total cpu/real time for replay: 37.63/29.7988 Info:Linear Algebra: Total cpu/real time for bwc: 32918/0.000241756 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 1370.85 Info:Linear Algebra: Lingen CPU time 267.75, WCT time 26.35 Info:Linear Algebra: Mksol: WCT time 780.92 Info:Quadratic Characters: Total cpu/real time for characters: 39.73/9.89188 Info:Square Root: Total cpu/real time for sqrt: 1090.14/153.444 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 534130/35453 Info:root: Cleaning up computation data in /tmp/cado.j5ww0mec 80090107503087677798432798612249283384093551023116206472079273248906728477 452036449172060954593498656771576334490636417674205450483531 END:Sun 11 Jul 2021 09:02:31 AEST (36,203,647,809,504,390,758,136,895,061,229,945,197,578,152,108,606,777,906,563,997,239,515,777,203,313,539,204,886,726,260,957,496,351,584,131,033,250,232,863,180,718,9 77,212,287 - C134)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:15 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 15 秒 (日本時間)
4511e61385585CypJune 27, 2015 20:40:55 UTC 2015 年 6 月 28 日 (日) 5 時 40 分 55 秒 (日本時間)
800Dmitry DomanovNovember 11, 2018 01:29:59 UTC 2018 年 11 月 11 日 (日) 10 時 29 分 59 秒 (日本時間)
5043e61700 / 7231300Dmitry DomanovFebruary 14, 2019 00:11:21 UTC 2019 年 2 月 14 日 (木) 9 時 11 分 21 秒 (日本時間)
600Dmitry DomanovFebruary 25, 2019 23:32:42 UTC 2019 年 2 月 26 日 (火) 8 時 32 分 42 秒 (日本時間)
800Dmitry DomanovMarch 18, 2019 12:59:53 UTC 2019 年 3 月 18 日 (月) 21 時 59 分 53 秒 (日本時間)

## 7×10208+839

### c161

composite cofactor 合成数の残り `57264666649836881051633941332895294270356886299414940740012519260876344757755492707840762208928380344379104290581732845794537200682178189490678319835838866378527<161>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:15 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 15 秒 (日本時間)
4511e61385585CypMay 30, 2015 16:14:02 UTC 2015 年 5 月 31 日 (日) 1 時 14 分 2 秒 (日本時間)
800Dmitry DomanovNovember 10, 2018 09:38:37 UTC 2018 年 11 月 10 日 (土) 18 時 38 分 37 秒 (日本時間)
5043e61700 / 7231300Dmitry DomanovFebruary 13, 2019 14:41:34 UTC 2019 年 2 月 13 日 (水) 23 時 41 分 34 秒 (日本時間)
600Dmitry DomanovFebruary 25, 2019 06:14:58 UTC 2019 年 2 月 25 日 (月) 15 時 14 分 58 秒 (日本時間)
800Dmitry DomanovMarch 19, 2019 10:45:29 UTC 2019 年 3 月 19 日 (火) 19 時 45 分 29 秒 (日本時間)

## 7×10209+839

### c204

name 名前 Bob Backstrom November 2, 2019 19:16:55 UTC 2019 年 11 月 3 日 (日) 4 時 16 分 55 秒 (日本時間) `249722362245118195377781773335573699668903822286151146956972480238934356196129089337461600727476915843207177163389417408431269092612392008456312678083259576049913078780627109930994576387038267811536673691<204>` ```3881088053805684370067735673913109074846161280071839048909<58> 64343389993496169653342612504737154577268790606234742333661104938473573371162786064500825743810126838284909685354564063890337500424128348720251399<146>``` ```Number: n N=249722362245118195377781773335573699668903822286151146956972480238934356196129089337461600727476915843207177163389417408431269092612392008456312678083259576049913078780627109930994576387038267811536673691 ( 204 digits) SNFS difficulty: 210 digits. Divisors found: Sun Nov 3 06:13:45 2019 p58 factor: 3881088053805684370067735673913109074846161280071839048909 Sun Nov 3 06:13:45 2019 p146 factor: 64343389993496169653342612504737154577268790606234742333661104938473573371162786064500825743810126838284909685354564063890337500424128348720251399 Sun Nov 3 06:13:45 2019 elapsed time 02:42:57 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.131). Factorization parameters were as follows: # # N = 7x10^209+83 = 7(207)87 # n: 249722362245118195377781773335573699668903822286151146956972480238934356196129089337461600727476915843207177163389417408431269092612392008456312678083259576049913078780627109930994576387038267811536673691 m: 100000000000000000000000000000000000 deg: 6 c6: 7 c0: 830 skew: 2.22 # Murphy_E = 5.297e-12 type: snfs lss: 1 rlim: 23000000 alim: 23000000 lpbr: 29 lpba: 29 mfbr: 57 mfba: 57 rlambda: 2.6 alambda: 2.6 Factor base limits: 23000000/23000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 57/57 Sieved special-q in [100000, 51500000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 10025504 hash collisions in 66212645 relations (59204007 unique) Msieve: matrix is 2549260 x 2549487 (894.6 MB) Sieving start time: 2019/11/02 06:20:31 Sieving end time : 2019/11/03 03:29:39 Total sieving time: 21hrs 9min 8secs. Total relation processing time: 2hrs 19min 52sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 4min 6sec. Prototype def-par.txt line would be: snfs,210,6,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.149912] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1) [ 0.000000] Memory: 16284044K/16703460K available (12300K kernel code, 2481K rwdata, 4256K rodata, 2436K init, 2388K bss, 419416K reserved, 0K cma-reserved) [ 0.184564] x86/mm: Memory block size: 128MB [ 0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.54 BogoMIPS (lpj=11977096) [ 0.182216] smpboot: Total of 16 processors activated (95816.76 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:16 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 16 秒 (日本時間)
4511e61385585CypJune 9, 2015 06:13:42 UTC 2015 年 6 月 9 日 (火) 15 時 13 分 42 秒 (日本時間)
800Dmitry DomanovJanuary 14, 2019 21:29:53 UTC 2019 年 1 月 15 日 (火) 6 時 29 分 53 秒 (日本時間)
5043e61700 / 7231300Dmitry DomanovFebruary 15, 2019 10:03:35 UTC 2019 年 2 月 15 日 (金) 19 時 3 分 35 秒 (日本時間)
600Dmitry DomanovMarch 1, 2019 06:15:26 UTC 2019 年 3 月 1 日 (金) 15 時 15 分 26 秒 (日本時間)
800Dmitry DomanovMarch 19, 2019 22:34:52 UTC 2019 年 3 月 20 日 (水) 7 時 34 分 52 秒 (日本時間)

## 7×10211+839

### c187

name 名前 ebina June 30, 2023 22:29:24 UTC 2023 年 7 月 1 日 (土) 7 時 29 分 24 秒 (日本時間) `6902160330186765730594774457746751381860030554783153347384911529737394777802559585957027018061640432871925489835422173966627656000188719782222400406268282818096112084548768927118873060619<187>` ```3318517629034217638144127453886312022854380986221205750018012606927<67> 2079892621271229871023076245452287530782879527650653264203342986368562357818380896935579924972443783220384928618791048197<121>``` ```Number: 77787_211 N = 6902160330186765730594774457746751381860030554783153347384911529737394777802559585957027018061640432871925489835422173966627656000188719782222400406268282818096112084548768927118873060619 (187 digits) SNFS difficulty: 212 digits. Divisors found: r1=3318517629034217638144127453886312022854380986221205750018012606927 (pp67) r2=2079892621271229871023076245452287530782879527650653264203342986368562357818380896935579924972443783220384928618791048197 (pp121) Version: Msieve v. 1.53 (SVN unknown) Total time: 106.05 hours. Factorization parameters were as follows: n: 6902160330186765730594774457746751381860030554783153347384911529737394777802559585957027018061640432871925489835422173966627656000188719782222400406268282818096112084548768927118873060619 m: 100000000000000000000000000000000000 deg: 6 c6: 70 c0: 83 skew: 1.03 # Murphy_E = 4.448e-12 type: snfs lss: 1 rlim: 24000000 alim: 24000000 lpbr: 29 lpba: 29 mfbr: 57 mfba: 57 rlambda: 2.6 alambda: 2.6 Factor base limits: 24000000/24000000 Large primes per side: 3 Large prime bits: 29/29 Sieved rational special-q in [0, 0) Total raw relations: 43966112 Relations: 7541246 relations Pruned matrix : 4639537 x 4639764 Total sieving time: 97.72 hours. Total relation processing time: 0.35 hours. Matrix solve time: 7.77 hours. time per square root: 0.21 hours. Prototype def-par.txt line would be: snfs,212,6,0,0,0,0,0,0,0,0,24000000,24000000,29,29,57,57,2.6,2.6,100000 total time: 106.05 hours. Intel64 Family 6 Model 45 Stepping 6, GenuineIntel processors: 12, speed: 3.30GHz Windows-post2008Server-6.2.9200 Running Python 3.2```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:16 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 16 秒 (日本時間)
4511e61388538CypAugust 4, 2015 18:16:35 UTC 2015 年 8 月 5 日 (水) 3 時 16 分 35 秒 (日本時間)
150Dmitry DomanovJanuary 13, 2017 08:35:35 UTC 2017 年 1 月 13 日 (金) 17 時 35 分 35 秒 (日本時間)
700Dmitry DomanovNovember 26, 2018 14:56:28 UTC 2018 年 11 月 26 日 (月) 23 時 56 分 28 秒 (日本時間)
5043e61700 / 7230300Dmitry DomanovFebruary 14, 2019 00:10:49 UTC 2019 年 2 月 14 日 (木) 9 時 10 分 49 秒 (日本時間)
600Dmitry DomanovFebruary 27, 2019 20:46:43 UTC 2019 年 2 月 28 日 (木) 5 時 46 分 43 秒 (日本時間)
800Dmitry DomanovMarch 20, 2019 22:57:27 UTC 2019 年 3 月 21 日 (木) 7 時 57 分 27 秒 (日本時間)

## 7×10212+839

### c133

name 名前 Cyp March 13, 2015 15:49:58 UTC 2015 年 3 月 14 日 (土) 0 時 49 分 58 秒 (日本時間) `4568402871928651940506239036548034606045425962545448704447459790747125583858446439277575848302630789349120485587779778248573400491737<133>` ```54412071899024509836063701435929220261599<41> 83959362554811177349209136051571751166024261562333270592743927764683229536585395590038389063<92>``` ```03/12/15 18:22:06 v1.34.3, 03/12/15 18:22:06 v1.34.3, **************************** 03/12/15 18:22:06 v1.34.3, Starting factorization of 4568402871928651940506239036548034606045425962545448704447459790747125583858446439277575848302630789349120485587779778248573400491737 03/12/15 18:22:06 v1.34.3, using pretesting plan: none 03/12/15 18:22:06 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 03/12/15 18:22:06 v1.34.3, **************************** 03/12/15 18:22:06 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C133 03/12/15 18:22:06 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C133 03/12/15 18:22:06 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C133 03/12/15 18:22:06 v1.34.3, final ECM pretested depth: 0.00 03/12/15 18:22:06 v1.34.3, scheduler: switching to sieve method 03/12/15 18:22:06 v1.34.3, nfs: commencing nfs on c133: 4568402871928651940506239036548034606045425962545448704447459790747125583858446439277575848302630789349120485587779778248573400491737 03/12/15 18:22:06 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 03/12/15 18:22:06 v1.34.3, nfs: commencing lattice sieving with 8 threads 03/12/15 18:54:53 v1.34.3, nfs: commencing lattice sieving with 8 threads [35 lines snipped] 03/13/15 14:50:59 v1.34.3, nfs: commencing lattice sieving with 8 threads 03/13/15 15:25:51 v1.34.3, nfs: commencing lattice sieving with 8 threads 03/13/15 15:58:36 v1.34.3, nfs: commencing msieve filtering 03/13/15 16:03:05 v1.34.3, nfs: commencing msieve linear algebra 03/13/15 16:46:57 v1.34.3, nfs: commencing msieve sqrt 03/13/15 16:49:56 v1.34.3, prp92 = 83959362554811177349209136051571751166024261562333270592743927764683229536585395590038389063 03/13/15 16:49:56 v1.34.3, prp41 = 54412071899024509836063701435929220261599 03/13/15 16:49:56 v1.34.3, NFS elapsed time = 80870.0346 seconds. 03/13/15 16:49:56 v1.34.3, 03/13/15 16:49:56 v1.34.3, 03/13/15 16:49:56 v1.34.3, Total factoring time = 80870.0611 seconds -- Fri Mar 13 15:58:36 2015 Fri Mar 13 15:58:36 2015 commencing relation filtering Fri Mar 13 15:58:36 2015 estimated available RAM is 15987.3 MB Fri Mar 13 15:58:36 2015 commencing duplicate removal, pass 1 Fri Mar 13 15:59:50 2015 found 2629572 hash collisions in 21528404 relations Fri Mar 13 16:00:10 2015 added 119903 free relations Fri Mar 13 16:00:10 2015 commencing duplicate removal, pass 2 Fri Mar 13 16:00:30 2015 found 1486389 duplicates and 20161918 unique relations Fri Mar 13 16:00:30 2015 memory use: 82.6 MB Fri Mar 13 16:00:30 2015 reading ideals above 720000 Fri Mar 13 16:00:30 2015 commencing singleton removal, initial pass Fri Mar 13 16:02:04 2015 memory use: 689.0 MB Fri Mar 13 16:02:04 2015 reading all ideals from disk Fri Mar 13 16:02:05 2015 memory use: 636.1 MB Fri Mar 13 16:02:05 2015 keeping 20495538 ideals with weight <= 200, target excess is 127724 Fri Mar 13 16:02:06 2015 commencing in-memory singleton removal Fri Mar 13 16:02:07 2015 begin with 20161918 relations and 20495538 unique ideals Fri Mar 13 16:02:17 2015 reduce to 9585138 relations and 8397467 ideals in 15 passes Fri Mar 13 16:02:17 2015 max relations containing the same ideal: 121 Fri Mar 13 16:02:20 2015 removing 2017297 relations and 1617297 ideals in 400000 cliques Fri Mar 13 16:02:21 2015 commencing in-memory singleton removal Fri Mar 13 16:02:21 2015 begin with 7567841 relations and 8397467 unique ideals Fri Mar 13 16:02:24 2015 reduce to 7229684 relations and 6424516 ideals in 9 passes Fri Mar 13 16:02:24 2015 max relations containing the same ideal: 98 Fri Mar 13 16:02:26 2015 removing 1593617 relations and 1193617 ideals in 400000 cliques Fri Mar 13 16:02:27 2015 commencing in-memory singleton removal Fri Mar 13 16:02:27 2015 begin with 5636067 relations and 6424516 unique ideals Fri Mar 13 16:02:29 2015 reduce to 5355828 relations and 4934843 ideals in 8 passes Fri Mar 13 16:02:29 2015 max relations containing the same ideal: 78 Fri Mar 13 16:02:31 2015 removing 1115024 relations and 842199 ideals in 272825 cliques Fri Mar 13 16:02:31 2015 commencing in-memory singleton removal Fri Mar 13 16:02:31 2015 begin with 4240804 relations and 4934843 unique ideals Fri Mar 13 16:02:33 2015 reduce to 4057465 relations and 3900412 ideals in 9 passes Fri Mar 13 16:02:33 2015 max relations containing the same ideal: 65 Fri Mar 13 16:02:34 2015 removing 74633 relations and 65740 ideals in 8893 cliques Fri Mar 13 16:02:34 2015 commencing in-memory singleton removal Fri Mar 13 16:02:34 2015 begin with 3982832 relations and 3900412 unique ideals Fri Mar 13 16:02:35 2015 reduce to 3982033 relations and 3833872 ideals in 6 passes Fri Mar 13 16:02:35 2015 max relations containing the same ideal: 65 Fri Mar 13 16:02:36 2015 relations with 0 large ideals: 440 Fri Mar 13 16:02:36 2015 relations with 1 large ideals: 1525 Fri Mar 13 16:02:36 2015 relations with 2 large ideals: 23954 Fri Mar 13 16:02:36 2015 relations with 3 large ideals: 155544 Fri Mar 13 16:02:36 2015 relations with 4 large ideals: 526047 Fri Mar 13 16:02:36 2015 relations with 5 large ideals: 1003005 Fri Mar 13 16:02:36 2015 relations with 6 large ideals: 1133187 Fri Mar 13 16:02:36 2015 relations with 7+ large ideals: 1138331 Fri Mar 13 16:02:36 2015 commencing 2-way merge Fri Mar 13 16:02:37 2015 reduce to 2352617 relation sets and 2204456 unique ideals Fri Mar 13 16:02:37 2015 commencing full merge Fri Mar 13 16:02:57 2015 memory use: 262.2 MB Fri Mar 13 16:02:57 2015 found 1222787 cycles, need 1202656 Fri Mar 13 16:02:57 2015 weight of 1202656 cycles is about 84252058 (70.05/cycle) Fri Mar 13 16:02:57 2015 distribution of cycle lengths: Fri Mar 13 16:02:57 2015 1 relations: 138553 Fri Mar 13 16:02:57 2015 2 relations: 135806 Fri Mar 13 16:02:57 2015 3 relations: 138856 Fri Mar 13 16:02:57 2015 4 relations: 131645 Fri Mar 13 16:02:57 2015 5 relations: 123870 Fri Mar 13 16:02:57 2015 6 relations: 109039 Fri Mar 13 16:02:57 2015 7 relations: 95482 Fri Mar 13 16:02:57 2015 8 relations: 80567 Fri Mar 13 16:02:57 2015 9 relations: 65491 Fri Mar 13 16:02:57 2015 10+ relations: 183347 Fri Mar 13 16:02:57 2015 heaviest cycle: 18 relations Fri Mar 13 16:02:57 2015 commencing cycle optimization Fri Mar 13 16:02:58 2015 start with 6712418 relations Fri Mar 13 16:03:03 2015 pruned 146843 relations Fri Mar 13 16:03:03 2015 memory use: 229.4 MB Fri Mar 13 16:03:03 2015 distribution of cycle lengths: Fri Mar 13 16:03:03 2015 1 relations: 138553 Fri Mar 13 16:03:03 2015 2 relations: 138585 Fri Mar 13 16:03:03 2015 3 relations: 143329 Fri Mar 13 16:03:03 2015 4 relations: 134640 Fri Mar 13 16:03:03 2015 5 relations: 126976 Fri Mar 13 16:03:03 2015 6 relations: 110857 Fri Mar 13 16:03:03 2015 7 relations: 96518 Fri Mar 13 16:03:03 2015 8 relations: 80237 Fri Mar 13 16:03:03 2015 9 relations: 64793 Fri Mar 13 16:03:03 2015 10+ relations: 168168 Fri Mar 13 16:03:03 2015 heaviest cycle: 18 relations Fri Mar 13 16:03:05 2015 RelProcTime: 269 Fri Mar 13 16:03:05 2015 Fri Mar 13 16:03:05 2015 commencing linear algebra Fri Mar 13 16:03:05 2015 read 1202656 cycles Fri Mar 13 16:03:06 2015 cycles contain 3871680 unique relations Fri Mar 13 16:03:32 2015 read 3871680 relations Fri Mar 13 16:03:35 2015 using 20 quadratic characters above 268431750 Fri Mar 13 16:03:47 2015 building initial matrix Fri Mar 13 16:04:10 2015 memory use: 504.7 MB Fri Mar 13 16:04:11 2015 read 1202656 cycles Fri Mar 13 16:04:11 2015 matrix is 1202477 x 1202656 (361.5 MB) with weight 115103357 (95.71/col) Fri Mar 13 16:04:11 2015 sparse part has weight 81531977 (67.79/col) Fri Mar 13 16:04:18 2015 filtering completed in 2 passes Fri Mar 13 16:04:18 2015 matrix is 1201495 x 1201674 (361.4 MB) with weight 115064523 (95.75/col) Fri Mar 13 16:04:18 2015 sparse part has weight 81521253 (67.84/col) Fri Mar 13 16:04:21 2015 matrix starts at (0, 0) Fri Mar 13 16:04:21 2015 matrix is 1201495 x 1201674 (361.4 MB) with weight 115064523 (95.75/col) Fri Mar 13 16:04:21 2015 sparse part has weight 81521253 (67.84/col) Fri Mar 13 16:04:21 2015 saving the first 48 matrix rows for later Fri Mar 13 16:04:22 2015 matrix includes 64 packed rows Fri Mar 13 16:04:22 2015 matrix is 1201447 x 1201674 (350.1 MB) with weight 91192135 (75.89/col) Fri Mar 13 16:04:22 2015 sparse part has weight 79755701 (66.37/col) Fri Mar 13 16:04:22 2015 using block size 65536 for processor cache size 8192 kB Fri Mar 13 16:04:24 2015 commencing Lanczos iteration (8 threads) Fri Mar 13 16:04:24 2015 memory use: 338.5 MB Fri Mar 13 16:04:28 2015 linear algebra at 0.1%, ETA 0h39m Fri Mar 13 16:04:29 2015 checkpointing every 1830000 dimensions Fri Mar 13 16:46:56 2015 lanczos halted after 19000 iterations (dim = 1201446) Fri Mar 13 16:46:57 2015 recovered 27 nontrivial dependencies Fri Mar 13 16:46:57 2015 BLanczosTime: 2632 Fri Mar 13 16:46:57 2015 Fri Mar 13 16:46:57 2015 commencing square root phase Fri Mar 13 16:46:57 2015 reading relations for dependency 1 Fri Mar 13 16:46:58 2015 read 601455 cycles Fri Mar 13 16:46:58 2015 cycles contain 1936462 unique relations Fri Mar 13 16:47:19 2015 read 1936462 relations Fri Mar 13 16:47:24 2015 multiplying 1936462 relations Fri Mar 13 16:48:34 2015 multiply complete, coefficients have about 83.24 million bits Fri Mar 13 16:48:34 2015 initial square root is modulo 944689 Fri Mar 13 16:49:56 2015 sqrtTime: 179 -- # Murphy_E = 5.559e-11, selected by Erik Branger # expecting poly E from 5.73e-011 to > 6.59e-011 n: 4568402871928651940506239036548034606045425962545448704447459790747125583858446439277575848302630789349120485587779778248573400491737 Y0: -106337047001326601138397481 Y1: 71863054886431 c0: -129866800349845674701800721942572800 c1: 265385737012319986948592514804 c2: -105133598015708236243504 c3: -32106881088899105 c4: 2449852706 c5: 336 skew: 4729898.78 type: gnfs # selected mechanically rlim: 11500000 alim: 11500000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.6 alambda: 2.6``` `yafu v1.34.3` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovJanuary 9, 2015 00:08:17 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 17 秒 (日本時間)
2350Ignacio SantosFebruary 5, 2015 22:25:07 UTC 2015 年 2 月 6 日 (金) 7 時 25 分 7 秒 (日本時間)

## 7×10213+839

### c202

name 名前 Serge Batalov June 20, 2015 04:18:40 UTC 2015 年 6 月 20 日 (土) 13 時 18 分 40 秒 (日本時間) `4031326570075863215724684385545412922488170251564066431344179355379760431585969982814141016029266534419258959024400775582131213460701978117034299905718425112327747419983241012801834109660429336213495661<202>` `34769214780610894222396856189635428861047<41>` `115945286527550189043149162732585409206610592040147014606661616249364943866305156253793579251483168733035258830260933754760006644074843742967792609079981567535163<162>` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=551906410 Step 1 took 18077ms ********** Factor found in step 1: 34769214780610894222396856189635428861047 Found probable prime factor of 41 digits: 34769214780610894222396856189635428861047 Composite cofactor```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:17 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 17 秒 (日本時間)
4511e61385585CypJune 22, 2015 06:22:19 UTC 2015 年 6 月 22 日 (月) 15 時 22 分 19 秒 (日本時間)
800Dmitry DomanovNovember 15, 2018 14:12:52 UTC 2018 年 11 月 15 日 (木) 23 時 12 分 52 秒 (日本時間)
5043e61700 / 7231300Dmitry DomanovFebruary 14, 2019 01:01:11 UTC 2019 年 2 月 14 日 (木) 10 時 1 分 11 秒 (日本時間)
600Dmitry DomanovFebruary 27, 2019 20:45:15 UTC 2019 年 2 月 28 日 (木) 5 時 45 分 15 秒 (日本時間)
800Dmitry DomanovMarch 19, 2019 21:33:38 UTC 2019 年 3 月 20 日 (水) 6 時 33 分 38 秒 (日本時間)

## 7×10215+839

### c157

composite cofactor 合成数の残り `9587552312829360110832764660179673391892909313189068010165273182760575533461255538750263509117623512176911055467972326950807548708315785920513451788861890431<157>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:19 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 19 秒 (日本時間)
4511e61385585CypJuly 4, 2015 06:00:59 UTC 2015 年 7 月 4 日 (土) 15 時 0 分 59 秒 (日本時間)
800Dmitry DomanovNovember 10, 2018 17:55:19 UTC 2018 年 11 月 11 日 (日) 2 時 55 分 19 秒 (日本時間)
5043e61700 / 7231300Dmitry DomanovFebruary 14, 2019 01:01:35 UTC 2019 年 2 月 14 日 (木) 10 時 1 分 35 秒 (日本時間)
600Dmitry DomanovFebruary 27, 2019 20:45:49 UTC 2019 年 2 月 28 日 (木) 5 時 45 分 49 秒 (日本時間)
800Dmitry DomanovMarch 20, 2019 14:37:48 UTC 2019 年 3 月 20 日 (水) 23 時 37 分 48 秒 (日本時間)

## 7×10216+839

### c193

composite cofactor 合成数の残り `4461630521863691317577584186865505083209701040418069739056485838915805857293703130782324403389369418683136547017746805493562232196822620969129831136423979534926898272685861467084422503776340851<193>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:08:19 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 19 秒 (日本時間)
1CypJanuary 9, 2015 00:10:24 UTC 2015 年 1 月 9 日 (金) 9 時 10 分 24 秒 (日本時間)
4511e61385585CypJuly 6, 2015 19:20:58 UTC 2015 年 7 月 7 日 (火) 4 時 20 分 58 秒 (日本時間)
800Dmitry DomanovNovember 26, 2018 22:55:10 UTC 2018 年 11 月 27 日 (火) 7 時 55 分 10 秒 (日本時間)
5043e61700 / 7231300Dmitry DomanovFebruary 14, 2019 11:19:18 UTC 2019 年 2 月 14 日 (木) 20 時 19 分 18 秒 (日本時間)
600Dmitry DomanovFebruary 27, 2019 20:46:14 UTC 2019 年 2 月 28 日 (木) 5 時 46 分 14 秒 (日本時間)
800Dmitry DomanovMarch 20, 2019 22:56:56 UTC 2019 年 3 月 21 日 (木) 7 時 56 分 56 秒 (日本時間)

## 7×10217+839

### c214

name 名前 Bob Backstrom November 9, 2017 08:15:29 UTC 2017 年 11 月 9 日 (木) 17 時 15 分 29 秒 (日本時間) `1080396968714790634501705483786328348073034835085119846892315290703955796329737154851754101649920513651587411831890231667978577271534626722847309039835779660755351823555740766464478091092898705067061783272368075813<214>` ```234854510614440980002844258635443973291916404156433987050691101<63> 4600281961322304936351539304660075759455274721204773423637993101918657130714963441357856864162417791449902422101182381779078175603566088503673788441513<151>``` ```Number: n N=1080396968714790634501705483786328348073034835085119846892315290703955796329737154851754101649920513651587411831890231667978577271534626722847309039835779660755351823555740766464478091092898705067061783272368075813 ( 214 digits) SNFS difficulty: 217 digits. Divisors found: Thu Nov 9 19:09:31 2017 p63 factor: 234854510614440980002844258635443973291916404156433987050691101 Thu Nov 9 19:09:31 2017 p151 factor: 4600281961322304936351539304660075759455274721204773423637993101918657130714963441357856864162417791449902422101182381779078175603566088503673788441513 Thu Nov 9 19:09:31 2017 elapsed time 06:14:03 (Msieve 1.53 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=1.709). Factorization parameters were as follows: # # 7x10^217+83 7(215)87 # n: 1080396968714790634501705483786328348073034835085119846892315290703955796329737154851754101649920513651587411831890231667978577271534626722847309039835779660755351823555740766464478091092898705067061783272368075813 m: 1000000000000000000000000000000000000 deg: 6 c6: 70 c0: 83 skew: 1.03 # Murphy_E = 2.797e-12 type: snfs lss: 1 rlim: 30000000 alim: 30000000 lpbr: 29 lpba: 29 mfbr: 58 mfba: 58 rlambda: 2.6 alambda: 2.6 Factor base limits: 30000000/30000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 58/58 Sieved special-q in [100000, 46200000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 12442599 hash collisions in 71278401 relations (60110738 unique) Msieve: matrix is 3880461 x 3880686 (1103.7 MB) Sieving start time: 2017/11/08 11:08:22 Sieving end time : 2017/11/09 12:54:00 Total sieving time: 25hrs 45min 38secs. Total relation processing time: 5hrs 41min 57sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 11min 40sec. Prototype def-par.txt line would be: snfs,217,6,0,0,0,0,0,0,0,0,30000000,30000000,29,29,58,58,2.6,2.6,100000 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
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:08:20 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 20 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:09:06 UTC 2015 年 1 月 11 日 (日) 5 時 9 分 6 秒 (日本時間)

## 7×10218+839

### c171

composite cofactor 合成数の残り `817026442646141074403350740121348891545483498591000768124350499577429995469518419345307758751440558960599480017852118522349760838697638503147215961698656666673115527026513<171>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:20 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 20 秒 (日本時間)
4511e61385585CypJune 10, 2015 15:16:30 UTC 2015 年 6 月 11 日 (木) 0 時 16 分 30 秒 (日本時間)
800Dmitry DomanovNovember 26, 2018 16:02:00 UTC 2018 年 11 月 27 日 (火) 1 時 2 分 0 秒 (日本時間)
5043e61900 / 7231300Dmitry DomanovFebruary 14, 2019 00:11:58 UTC 2019 年 2 月 14 日 (木) 9 時 11 分 58 秒 (日本時間)
600Dmitry DomanovFebruary 28, 2019 15:53:35 UTC 2019 年 3 月 1 日 (金) 0 時 53 分 35 秒 (日本時間)
1000Dmitry DomanovMarch 6, 2019 09:14:22 UTC 2019 年 3 月 6 日 (水) 18 時 14 分 22 秒 (日本時間)

## 7×10220+839

### c167

name 名前 Erik Branger March 13, 2018 19:13:01 UTC 2018 年 3 月 14 日 (水) 4 時 13 分 1 秒 (日本時間) `63577021904850160122804614884630416789784671444109280260048334050935629972730249884212017537421070494678272993572649887342387160909823125613348730726564978131657808483<167>` ```8469281372615530842059981973786890068733843499617<49> 61235501977175249827412003248483140518817762978437<50> 122588670999870201629528895136547163883099778324114474730734040159527<69>``` ```Number: 77787_220 N = 63577021904850160122804614884630416789784671444109280260048334050935629972730249884212017537421070494678272993572649887342387160909823125613348730726564978131657808483 (167 digits) SNFS difficulty: 221 digits. Divisors found: r1=8469281372615530842059981973786890068733843499617 (pp49) r2=61235501977175249827412003248483140518817762978437 (pp50) r3=122588670999870201629528895136547163883099778324114474730734040159527 (pp69) Version: Msieve v. 1.52 (SVN unknown) Total time: 65.18 hours. Factorization parameters were as follows: n: 63577021904850160122804614884630416789784671444109280260048334050935629972730249884212017537421070494678272993572649887342387160909823125613348730726564978131657808483 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 7 c0: 83 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 536870912 lpbr: 29 lpba: 27 mfbr: 58 mfba: 54 rlambda: 2.8 alambda: 2.8 side: 1 Number of cores used: 4 Number of threads per core: 1 Factor base limits: 536870912/536870912 Large primes per side: 3 Large prime bits: 29/27 Total raw relations: 30857260 Relations: 7533100 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 34.54 hours. Total relation processing time: 0.41 hours. Pruned matrix : 6568902 x 6569148 Matrix solve time: 29.91 hours. time per square root: 0.32 hours. Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,536870912,29,27,58,54,2.8,2.8,100000 total time: 65.18 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-10-10.0.16299-SP0 processors: 8, speed: 3.50GHz``` `GGNFS, NFS_Factory, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:08:21 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 21 秒 (日本時間)
1CypJanuary 9, 2015 00:12:42 UTC 2015 年 1 月 9 日 (金) 9 時 12 分 42 秒 (日本時間)
4511e6585 / 4409CypFebruary 3, 2015 01:57:04 UTC 2015 年 2 月 3 日 (火) 10 時 57 分 4 秒 (日本時間)

## 7×10221+839

### c172

name 名前 Erik Branger October 31, 2019 16:30:35 UTC 2019 年 11 月 1 日 (金) 1 時 30 分 35 秒 (日本時間) `5602235389193185189770188824866290526676608097204446882683521879452553368268989797600439508871658593557574208662234494409463313288069435819594844172996213166784416370203471<172>` ```61775277778926119370448072104276110729945794845479136113<56> 90687336271344445317322984009354321280095859614910363315351268176949583998955047679919643635475110267263729323250367<116>``` ```Number: 77787_221 N = 5602235389193185189770188824866290526676608097204446882683521879452553368268989797600439508871658593557574208662234494409463313288069435819594844172996213166784416370203471 (172 digits) SNFS difficulty: 222 digits. Divisors found: r1=61775277778926119370448072104276110729945794845479136113 (pp56) r2=90687336271344445317322984009354321280095859614910363315351268176949583998955047679919643635475110267263729323250367 (pp116) Version: Msieve v. 1.52 (SVN unknown) Total time: 93.50 hours. Factorization parameters were as follows: n: 5602235389193185189770188824866290526676608097204446882683521879452553368268989797600439508871658593557574208662234494409463313288069435819594844172996213166784416370203471 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 70 c0: 83 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 22369622 lpbr: 29 lpba: 28 mfbr: 58 mfba: 56 rlambda: 2.8 alambda: 2.8 side: 1 Factor base limits: 536870912/22369622 Large primes per side: 3 Large prime bits: 29/28 Relations: 8339836 relations Pruned matrix : 7190847 x 7191072 Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G relations. Total batch smoothness checking time: 42.81 hours. Total relation processing time: 0.43 hours. Matrix solve time: 50.01 hours. time per square root: 0.25 hours. Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,22369622,29,28,58,56,2.8,2.8,100000 total time: 93.50 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-10-10.0.17763-SP0 processors: 8, speed: 3.50GHz``` `GGNFS; NFS_factory, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:22 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 22 秒 (日本時間)
4511e61385585CypAugust 4, 2015 17:03:05 UTC 2015 年 8 月 5 日 (水) 2 時 3 分 5 秒 (日本時間)
800Dmitry DomanovNovember 28, 2018 23:26:39 UTC 2018 年 11 月 29 日 (木) 8 時 26 分 39 秒 (日本時間)
5043e61900 / 7231300Dmitry DomanovFebruary 16, 2019 00:57:36 UTC 2019 年 2 月 16 日 (土) 9 時 57 分 36 秒 (日本時間)
600Dmitry DomanovFebruary 28, 2019 15:53:09 UTC 2019 年 3 月 1 日 (金) 0 時 53 分 9 秒 (日本時間)
1000Dmitry DomanovMarch 6, 2019 09:13:27 UTC 2019 年 3 月 6 日 (水) 18 時 13 分 27 秒 (日本時間)

## 7×10222+839

### c133

name 名前 Serge Batalov January 8, 2015 23:09:23 UTC 2015 年 1 月 9 日 (金) 8 時 9 分 23 秒 (日本時間) `3196320408501792214804902065497108554297236653302569294135608032777802899717985821588150208624535065839832604801931586459036968214067<133>` `41735616865631084030132043436109<32>` `76584956652070815671491941334390003068563584066389524505643723029321113297772032067756202559450228863<101>` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1223089265 Step 1 took 7583ms Step 2 took 3579ms ********** Factor found in step 2: 41735616865631084030132043436109 Found probable prime factor of 32 digits: 41735616865631084030132043436109 Composite cofactor```

### c101

name 名前 Cyp January 9, 2015 22:38:37 UTC 2015 年 1 月 10 日 (土) 7 時 38 分 37 秒 (日本時間) `76584956652070815671491941334390003068563584066389524505643723029321113297772032067756202559450228863<101>` ```19402405221720001042839320133160133723556886862473<50> 3947188803496273273545962103589934002308891686111431<52>``` ```01/09/15 23:07:14 v1.34.3, 01/09/15 23:07:14 v1.34.3, **************************** 01/09/15 23:07:14 v1.34.3, Starting factorization of 76584956652070815671491941334390003068563584066389524505643723029321113297772032067756202559450228863 01/09/15 23:07:14 v1.34.3, using pretesting plan: none 01/09/15 23:07:14 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 01/09/15 23:07:14 v1.34.3, **************************** 01/09/15 23:07:14 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C101 01/09/15 23:07:14 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C101 01/09/15 23:07:14 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C101 01/09/15 23:07:14 v1.34.3, final ECM pretested depth: 0.00 01/09/15 23:07:14 v1.34.3, scheduler: switching to sieve method 01/09/15 23:07:14 v1.34.3, nfs: commencing nfs on c101: 76584956652070815671491941334390003068563584066389524505643723029321113297772032067756202559450228863 01/09/15 23:07:14 v1.34.3, nfs: commencing poly selection with 8 threads 01/09/15 23:07:14 v1.34.3, nfs: setting deadline of 176 seconds 01/09/15 23:11:13 v1.34.3, nfs: completed 43 ranges of size 250 in 239.3333 seconds 01/09/15 23:11:13 v1.34.3, nfs: best poly = # norm 8.095196e-14 alpha -4.880900 e 1.003e-08 rroots 4 01/09/15 23:11:13 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 23:12:41 v1.34.3, nfs: commencing lattice sieving with 8 threads [11 lines snipped] 01/09/15 23:29:52 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 23:31:15 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 23:32:39 v1.34.3, nfs: commencing msieve filtering 01/09/15 23:33:20 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 23:34:44 v1.34.3, nfs: commencing msieve filtering 01/09/15 23:35:37 v1.34.3, nfs: commencing msieve linear algebra 01/09/15 23:38:09 v1.34.3, nfs: commencing msieve sqrt 01/09/15 23:38:36 v1.34.3, prp50 = 19402405221720001042839320133160133723556886862473 01/09/15 23:38:36 v1.34.3, prp52 = 3947188803496273273545962103589934002308891686111431 01/09/15 23:38:37 v1.34.3, NFS elapsed time = 1882.6971 seconds. 01/09/15 23:38:37 v1.34.3, 01/09/15 23:38:37 v1.34.3, 01/09/15 23:38:37 v1.34.3, Total factoring time = 1882.7191 seconds -- Fri Jan 9 23:32:39 2015 Fri Jan 9 23:32:39 2015 commencing relation filtering Fri Jan 9 23:32:39 2015 estimated available RAM is 15987.3 MB Fri Jan 9 23:32:39 2015 commencing duplicate removal, pass 1 Fri Jan 9 23:32:54 2015 found 415215 hash collisions in 4515240 relations Fri Jan 9 23:32:57 2015 added 155755 free relations Fri Jan 9 23:32:57 2015 commencing duplicate removal, pass 2 Fri Jan 9 23:33:01 2015 found 179384 duplicates and 4491611 unique relations Fri Jan 9 23:33:01 2015 memory use: 19.6 MB Fri Jan 9 23:33:01 2015 reading ideals above 100000 Fri Jan 9 23:33:01 2015 commencing singleton removal, initial pass Fri Jan 9 23:33:18 2015 memory use: 172.2 MB Fri Jan 9 23:33:18 2015 reading all ideals from disk Fri Jan 9 23:33:19 2015 memory use: 139.9 MB Fri Jan 9 23:33:19 2015 keeping 5295318 ideals with weight <= 200, target excess is 39754 Fri Jan 9 23:33:19 2015 commencing in-memory singleton removal Fri Jan 9 23:33:19 2015 begin with 4491611 relations and 5295318 unique ideals Fri Jan 9 23:33:20 2015 reduce to 1117548 relations and 1124462 ideals in 25 passes Fri Jan 9 23:33:20 2015 max relations containing the same ideal: 77 Fri Jan 9 23:34:44 2015 Fri Jan 9 23:34:44 2015 commencing relation filtering Fri Jan 9 23:34:44 2015 estimated available RAM is 15987.3 MB Fri Jan 9 23:34:44 2015 commencing duplicate removal, pass 1 Fri Jan 9 23:35:00 2015 found 485382 hash collisions in 4975389 relations Fri Jan 9 23:35:04 2015 added 1347 free relations Fri Jan 9 23:35:04 2015 commencing duplicate removal, pass 2 Fri Jan 9 23:35:07 2015 found 202055 duplicates and 4774681 unique relations Fri Jan 9 23:35:07 2015 memory use: 20.6 MB Fri Jan 9 23:35:07 2015 reading ideals above 100000 Fri Jan 9 23:35:07 2015 commencing singleton removal, initial pass Fri Jan 9 23:35:26 2015 memory use: 172.2 MB Fri Jan 9 23:35:27 2015 reading all ideals from disk Fri Jan 9 23:35:27 2015 memory use: 148.7 MB Fri Jan 9 23:35:27 2015 keeping 5429210 ideals with weight <= 200, target excess is 42275 Fri Jan 9 23:35:27 2015 commencing in-memory singleton removal Fri Jan 9 23:35:27 2015 begin with 4774681 relations and 5429210 unique ideals Fri Jan 9 23:35:29 2015 reduce to 1478938 relations and 1405829 ideals in 20 passes Fri Jan 9 23:35:29 2015 max relations containing the same ideal: 93 Fri Jan 9 23:35:29 2015 removing 157139 relations and 145104 ideals in 12035 cliques Fri Jan 9 23:35:29 2015 commencing in-memory singleton removal Fri Jan 9 23:35:29 2015 begin with 1321799 relations and 1405829 unique ideals Fri Jan 9 23:35:29 2015 reduce to 1306271 relations and 1244985 ideals in 8 passes Fri Jan 9 23:35:29 2015 max relations containing the same ideal: 83 Fri Jan 9 23:35:29 2015 removing 112796 relations and 100761 ideals in 12035 cliques Fri Jan 9 23:35:29 2015 commencing in-memory singleton removal Fri Jan 9 23:35:29 2015 begin with 1193475 relations and 1244985 unique ideals Fri Jan 9 23:35:30 2015 reduce to 1184288 relations and 1134946 ideals in 9 passes Fri Jan 9 23:35:30 2015 max relations containing the same ideal: 78 Fri Jan 9 23:35:30 2015 relations with 0 large ideals: 589 Fri Jan 9 23:35:30 2015 relations with 1 large ideals: 4472 Fri Jan 9 23:35:30 2015 relations with 2 large ideals: 30573 Fri Jan 9 23:35:30 2015 relations with 3 large ideals: 123996 Fri Jan 9 23:35:30 2015 relations with 4 large ideals: 280077 Fri Jan 9 23:35:30 2015 relations with 5 large ideals: 368449 Fri Jan 9 23:35:30 2015 relations with 6 large ideals: 252788 Fri Jan 9 23:35:30 2015 relations with 7+ large ideals: 123344 Fri Jan 9 23:35:30 2015 commencing 2-way merge Fri Jan 9 23:35:30 2015 reduce to 648075 relation sets and 598736 unique ideals Fri Jan 9 23:35:30 2015 ignored 3 oversize relation sets Fri Jan 9 23:35:30 2015 commencing full merge Fri Jan 9 23:35:35 2015 memory use: 60.0 MB Fri Jan 9 23:35:35 2015 found 301442 cycles, need 296936 Fri Jan 9 23:35:35 2015 weight of 296936 cycles is about 21045669 (70.88/cycle) Fri Jan 9 23:35:35 2015 distribution of cycle lengths: Fri Jan 9 23:35:35 2015 1 relations: 32320 Fri Jan 9 23:35:35 2015 2 relations: 31204 Fri Jan 9 23:35:35 2015 3 relations: 30769 Fri Jan 9 23:35:35 2015 4 relations: 27922 Fri Jan 9 23:35:35 2015 5 relations: 25173 Fri Jan 9 23:35:35 2015 6 relations: 22143 Fri Jan 9 23:35:35 2015 7 relations: 18760 Fri Jan 9 23:35:35 2015 8 relations: 16633 Fri Jan 9 23:35:35 2015 9 relations: 14764 Fri Jan 9 23:35:35 2015 10+ relations: 77248 Fri Jan 9 23:35:35 2015 heaviest cycle: 26 relations Fri Jan 9 23:35:35 2015 commencing cycle optimization Fri Jan 9 23:35:35 2015 start with 2043973 relations Fri Jan 9 23:35:37 2015 pruned 43572 relations Fri Jan 9 23:35:37 2015 memory use: 67.1 MB Fri Jan 9 23:35:37 2015 distribution of cycle lengths: Fri Jan 9 23:35:37 2015 1 relations: 32320 Fri Jan 9 23:35:37 2015 2 relations: 31776 Fri Jan 9 23:35:37 2015 3 relations: 31804 Fri Jan 9 23:35:37 2015 4 relations: 28513 Fri Jan 9 23:35:37 2015 5 relations: 25726 Fri Jan 9 23:35:37 2015 6 relations: 22273 Fri Jan 9 23:35:37 2015 7 relations: 18987 Fri Jan 9 23:35:37 2015 8 relations: 16657 Fri Jan 9 23:35:37 2015 9 relations: 14690 Fri Jan 9 23:35:37 2015 10+ relations: 74190 Fri Jan 9 23:35:37 2015 heaviest cycle: 26 relations Fri Jan 9 23:35:37 2015 RelProcTime: 53 Fri Jan 9 23:35:37 2015 Fri Jan 9 23:35:37 2015 commencing linear algebra Fri Jan 9 23:35:37 2015 read 296936 cycles Fri Jan 9 23:35:38 2015 cycles contain 1122172 unique relations Fri Jan 9 23:35:43 2015 read 1122172 relations Fri Jan 9 23:35:44 2015 using 20 quadratic characters above 67107632 Fri Jan 9 23:35:47 2015 building initial matrix Fri Jan 9 23:35:53 2015 memory use: 131.8 MB Fri Jan 9 23:35:53 2015 read 296936 cycles Fri Jan 9 23:35:53 2015 matrix is 296753 x 296936 (89.6 MB) with weight 28268955 (95.20/col) Fri Jan 9 23:35:53 2015 sparse part has weight 20227077 (68.12/col) Fri Jan 9 23:35:54 2015 filtering completed in 2 passes Fri Jan 9 23:35:54 2015 matrix is 295635 x 295818 (89.5 MB) with weight 28217327 (95.39/col) Fri Jan 9 23:35:54 2015 sparse part has weight 20208293 (68.31/col) Fri Jan 9 23:35:54 2015 matrix starts at (0, 0) Fri Jan 9 23:35:54 2015 matrix is 295635 x 295818 (89.5 MB) with weight 28217327 (95.39/col) Fri Jan 9 23:35:54 2015 sparse part has weight 20208293 (68.31/col) Fri Jan 9 23:35:54 2015 saving the first 48 matrix rows for later Fri Jan 9 23:35:54 2015 matrix includes 64 packed rows Fri Jan 9 23:35:54 2015 matrix is 295587 x 295818 (86.0 MB) with weight 22400668 (75.72/col) Fri Jan 9 23:35:54 2015 sparse part has weight 19592355 (66.23/col) Fri Jan 9 23:35:54 2015 using block size 65536 for processor cache size 8192 kB Fri Jan 9 23:35:55 2015 commencing Lanczos iteration (8 threads) Fri Jan 9 23:35:55 2015 memory use: 81.1 MB Fri Jan 9 23:36:00 2015 linear algebra at 4.1%, ETA 0h 1m Fri Jan 9 23:38:08 2015 lanczos halted after 4675 iterations (dim = 295584) Fri Jan 9 23:38:09 2015 recovered 28 nontrivial dependencies Fri Jan 9 23:38:09 2015 BLanczosTime: 152 Fri Jan 9 23:38:09 2015 Fri Jan 9 23:38:09 2015 commencing square root phase Fri Jan 9 23:38:09 2015 reading relations for dependency 1 Fri Jan 9 23:38:09 2015 read 147752 cycles Fri Jan 9 23:38:09 2015 cycles contain 560172 unique relations Fri Jan 9 23:38:13 2015 read 560172 relations Fri Jan 9 23:38:14 2015 multiplying 560172 relations Fri Jan 9 23:38:23 2015 multiply complete, coefficients have about 23.93 million bits Fri Jan 9 23:38:23 2015 initial square root is modulo 7486499 Fri Jan 9 23:38:36 2015 sqrtTime: 27 -- n: 76584956652070815671491941334390003068563584066389524505643723029321113297772032067756202559450228863 skew: 1112563.00 c0: 814582847510855619922544875 c1: 5981206583124131688385 c2: -13543185299105103 c3: -12969825873 c4: 3828 Y0: -2114945014653815998627908 Y1: 35617487145725 rlim: 1940000 alim: 1940000 lpbr: 26 lpba: 26 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5``` `yafu v1.34.3` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

## 7×10223+839

### c213

composite cofactor 合成数の残り `256992242904613891998654087876486159170758233456617825752864558006314694317132081579234169899491215246685492107173957043791381227772959285749205481965885724469347853926194326382464128478288129105140847167122705821<213>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:23 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 23 秒 (日本時間)
4511e61385585CypJanuary 24, 2015 00:07:45 UTC 2015 年 1 月 24 日 (土) 9 時 7 分 45 秒 (日本時間)
800Dmitry DomanovJanuary 14, 2019 21:32:07 UTC 2019 年 1 月 15 日 (火) 6 時 32 分 7 秒 (日本時間)
5043e61700 / 7231300Dmitry DomanovFebruary 17, 2019 01:25:28 UTC 2019 年 2 月 17 日 (日) 10 時 25 分 28 秒 (日本時間)
600Dmitry DomanovFebruary 27, 2019 20:47:43 UTC 2019 年 2 月 28 日 (木) 5 時 47 分 43 秒 (日本時間)
800Dmitry DomanovMarch 24, 2019 20:04:46 UTC 2019 年 3 月 25 日 (月) 5 時 4 分 46 秒 (日本時間)

## 7×10226+839

### c151

composite cofactor 合成数の残り `1719841910997635182975123892894907667835901680824116717847702770481401872448286143093568531772768528016799160304106725769757110227921191828663476372429<151>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:08:23 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 23 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 23:39:19 UTC 2015 年 1 月 11 日 (日) 8 時 39 分 19 秒 (日本時間)
4511e64100800Dmitry DomanovMarch 1, 2016 13:15:52 UTC 2016 年 3 月 1 日 (火) 22 時 15 分 52 秒 (日本時間)
3300Lionel DebrouxJanuary 3, 2018 15:49:04 UTC 2018 年 1 月 4 日 (木) 0 時 49 分 4 秒 (日本時間)
5043e67254800Dmitry DomanovMarch 4, 2019 20:44:17 UTC 2019 年 3 月 5 日 (火) 5 時 44 分 17 秒 (日本時間)
6454Ignacio SantosJanuary 2, 2024 10:16:29 UTC 2024 年 1 月 2 日 (火) 19 時 16 分 29 秒 (日本時間)

## 7×10227+839

### c172

composite cofactor 合成数の残り `8068065123722016247632314327672997863541287546098572493259064197641370670031997679373397960017850384918453949010553714180644011946583787281750771180033251130512964075764991<172>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:08:24 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 24 秒 (日本時間)
1CypJanuary 9, 2015 00:48:21 UTC 2015 年 1 月 9 日 (金) 9 時 48 分 21 秒 (日本時間)
4511e61385585CypJune 22, 2015 11:08:09 UTC 2015 年 6 月 22 日 (月) 20 時 8 分 9 秒 (日本時間)
800Dmitry DomanovNovember 16, 2018 23:49:38 UTC 2018 年 11 月 17 日 (土) 8 時 49 分 38 秒 (日本時間)
5043e61800 / 7231300Dmitry DomanovFebruary 16, 2019 00:57:06 UTC 2019 年 2 月 16 日 (土) 9 時 57 分 6 秒 (日本時間)
600Dmitry DomanovFebruary 27, 2019 22:28:55 UTC 2019 年 2 月 28 日 (木) 7 時 28 分 55 秒 (日本時間)
900Dmitry DomanovMarch 5, 2019 23:49:14 UTC 2019 年 3 月 6 日 (水) 8 時 49 分 14 秒 (日本時間)

## 7×10230+839

### c218

name 名前 Dmitry Domanov March 1, 2019 18:09:12 UTC 2019 年 3 月 2 日 (土) 3 時 9 分 12 秒 (日本時間) `26170005268308155868168756565264750094477601815541949300339378777287413734062892170034948548346510703316430468386667691453696326927470831575167365170839059628460990393452489891722796607329107702094357883827825066736513<218>` ```12594604991746138480722330105628235204922280916887<50> 2077874239442891785411673981958091612993617725300940441118741644809755142837321225744745897355384041436766652761352892084940416114069460354641538030957056227217695148199<169>``` ```Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1701574144 Step 1 took 441644ms Step 2 took 79496ms ********** Factor found in step 2: 12594604991746138480722330105628235204922280916887 Found probable prime factor of 50 digits: 12594604991746138480722330105628235204922280916887 Probable prime cofactor 2077874239442891785411673981958091612993617725300940441118741644809755142837321225744745897355384041436766652761352892084940416114069460354641538030957056227217695148199 has 169 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:24 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 24 秒 (日本時間)
4511e61376476CypAugust 4, 2015 18:16:42 UTC 2015 年 8 月 5 日 (水) 3 時 16 分 42 秒 (日本時間)
900Dmitry DomanovNovember 6, 2018 12:11:19 UTC 2018 年 11 月 6 日 (火) 21 時 11 分 19 秒 (日本時間)
5043e6900 / 7233300Dmitry DomanovFebruary 17, 2019 15:36:27 UTC 2019 年 2 月 18 日 (月) 0 時 36 分 27 秒 (日本時間)
600Dmitry DomanovFebruary 28, 2019 11:32:24 UTC 2019 年 2 月 28 日 (木) 20 時 32 分 24 秒 (日本時間)

## 7×10231+839

### c211

composite cofactor 合成数の残り `8382363570742121365296786263137419481772576408051629361585330981771598078312668749180071073382431199642073230207844166232779156559900815754228133155814002798056657997207845479293444923806317531306257754161795831<211>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:08:25 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 25 秒 (日本時間)
1CypJanuary 9, 2015 00:58:34 UTC 2015 年 1 月 9 日 (金) 9 時 58 分 34 秒 (日本時間)
4511e61385585CypMay 25, 2015 22:24:21 UTC 2015 年 5 月 26 日 (火) 7 時 24 分 21 秒 (日本時間)
800Dmitry DomanovJanuary 14, 2019 21:32:45 UTC 2019 年 1 月 15 日 (火) 6 時 32 分 45 秒 (日本時間)
5043e61700 / 7231300Dmitry DomanovFebruary 17, 2019 15:37:34 UTC 2019 年 2 月 18 日 (月) 0 時 37 分 34 秒 (日本時間)
600Dmitry DomanovFebruary 27, 2019 20:48:30 UTC 2019 年 2 月 28 日 (木) 5 時 48 分 30 秒 (日本時間)
800Dmitry DomanovMarch 24, 2019 23:29:53 UTC 2019 年 3 月 25 日 (月) 8 時 29 分 53 秒 (日本時間)

## 7×10234+839

### c190

name 名前 Dmitry Domanov February 26, 2019 22:59:41 UTC 2019 年 2 月 27 日 (水) 7 時 59 分 41 秒 (日本時間) `4496759172957123673166973331885992292326401213114624541786634014400274664924399606417496304184125878041476382268843362556567922763680186615628184803145738793397232757707707085115148957488707<190>` `61034697413327471408082323904977625719911<41>` `73675456150868311470302348466152172465413390636220789032216556543206215351901723211772600436712543104780404611933114014027020525803449932754721732037<149>` ```Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3809209079 Step 1 took 338418ms Step 2 took 88547ms ********** Factor found in step 2: 61034697413327471408082323904977625719911 Found probable prime factor of 41 digits: 61034697413327471408082323904977625719911```

### c149

name 名前 ebina September 19, 2023 11:43:11 UTC 2023 年 9 月 19 日 (火) 20 時 43 分 11 秒 (日本時間) `73675456150868311470302348466152172465413390636220789032216556543206215351901723211772600436712543104780404611933114014027020525803449932754721732037<149>` ```75361420895535064714686636858760472757309910841569902289932476067204753203<74> 977628278174268851470697117765907083747626788070045794968707843557919543079<75>``` ```Number: 77787_234 N = 73675456150868311470302348466152172465413390636220789032216556543206215351901723211772600436712543104780404611933114014027020525803449932754721732037 (149 digits) Divisors found: r1=75361420895535064714686636858760472757309910841569902289932476067204753203 (pp74) r2=977628278174268851470697117765907083747626788070045794968707843557919543079 (pp75) Version: Msieve v. 1.53 (SVN unknown) Total time: 102.99 hours. Factorization parameters were as follows: n: 73675456150868311470302348466152172465413390636220789032216556543206215351901723211772600436712543104780404611933114014027020525803449932754721732037 # norm 1.794885e-14 alpha -6.606109 e 5.436e-12 rroots 1 skew: 9382131.39 c0: 33656013674262616550001924584614636680 c1: -23482270984175416175258040865298 c2: 1187746350162429359488527 c3: 1193800832158451058 c4: 5180342060 c5: 540 Y0: -168649784645417573369992846589 Y1: 4808009099078371 type: gnfs Factor base limits: 19700000/19700000 Large primes per side: 3 Large prime bits: 29/29 Sieved algebraic special-q in [0, 0) Total raw relations: 44434149 Relations: 6969008 relations Pruned matrix : 4149431 x 4149658 Total sieving time: 94.47 hours. Total relation processing time: 0.35 hours. Matrix solve time: 6.06 hours. time per square root: 2.11 hours. Prototype def-par.txt line would be: gnfs,148,5,65,2000,1e-05,0.28,250,20,50000,3600,19700000,19700000,29,29,58,58,2.6,2.6,100000 total time: 102.99 hours. Intel64 Family 6 Model 94 Stepping 3, GenuineIntel processors: 8, speed: 2.81GHz Windows-post2008Server-6.2.9200 Running Python 3.2```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:08:25 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 25 秒 (日本時間)
1CypJanuary 9, 2015 00:11:15 UTC 2015 年 1 月 9 日 (金) 9 時 11 分 15 秒 (日本時間)
4511e61385585CypJune 5, 2015 07:47:53 UTC 2015 年 6 月 5 日 (金) 16 時 47 分 53 秒 (日本時間)
800Dmitry DomanovNovember 29, 2018 00:30:07 UTC 2018 年 11 月 29 日 (木) 9 時 30 分 7 秒 (日本時間)
5043e61900 / 7231300Dmitry DomanovFebruary 14, 2019 22:30:26 UTC 2019 年 2 月 15 日 (金) 7 時 30 分 26 秒 (日本時間)
600Dmitry DomanovFebruary 26, 2019 20:36:03 UTC 2019 年 2 月 27 日 (水) 5 時 36 分 3 秒 (日本時間)
1000Dmitry DomanovMarch 4, 2019 20:45:10 UTC 2019 年 3 月 5 日 (火) 5 時 45 分 10 秒 (日本時間)

## 7×10235+839

### c217

composite cofactor 合成数の残り `5008099462627370300462570364381575124758963188131185587352124296375156315733787262968330827599996557289397563932855420323736880964063943044244900721252369725803218663571530566504873950731997853230134229991042852281253<217>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:26 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 26 秒 (日本時間)
4511e61385585CypJune 2, 2015 05:48:34 UTC 2015 年 6 月 2 日 (火) 14 時 48 分 34 秒 (日本時間)
800Dmitry DomanovJanuary 14, 2019 21:33:08 UTC 2019 年 1 月 15 日 (火) 6 時 33 分 8 秒 (日本時間)
5043e61700 / 7231300Dmitry DomanovFebruary 17, 2019 22:27:57 UTC 2019 年 2 月 18 日 (月) 7 時 27 分 57 秒 (日本時間)
600Dmitry DomanovMarch 3, 2019 12:52:53 UTC 2019 年 3 月 3 日 (日) 21 時 52 分 53 秒 (日本時間)
800Dmitry DomanovMarch 25, 2019 13:19:55 UTC 2019 年 3 月 25 日 (月) 22 時 19 分 55 秒 (日本時間)

## 7×10236+839

### c197

composite cofactor 合成数の残り `39215834738531572150238167409500449309496282710363380754594570760207049558629983756573769322773055435806129256799676335843096037417077684915085647676295227550130679781105699224485042882193356526991<197>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:26 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 26 秒 (日本時間)
4511e61385585CypAugust 4, 2015 13:48:40 UTC 2015 年 8 月 4 日 (火) 22 時 48 分 40 秒 (日本時間)
800Dmitry DomanovNovember 29, 2018 00:29:36 UTC 2018 年 11 月 29 日 (木) 9 時 29 分 36 秒 (日本時間)
5043e61700 / 7231300Dmitry DomanovFebruary 14, 2019 12:41:51 UTC 2019 年 2 月 14 日 (木) 21 時 41 分 51 秒 (日本時間)
600Dmitry DomanovMarch 1, 2019 15:04:36 UTC 2019 年 3 月 2 日 (土) 0 時 4 分 36 秒 (日本時間)
800Dmitry DomanovMarch 22, 2019 12:37:11 UTC 2019 年 3 月 22 日 (金) 21 時 37 分 11 秒 (日本時間)

## 7×10237+839

### c185

composite cofactor 合成数の残り `11790476989089012331153367124484513494376871334503618427000386825254561758957386750135480102779209832864056751852930606190401979742175679499251572753442938692522242613876749009092938689<185>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:08:27 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 27 秒 (日本時間)
1CypJanuary 9, 2015 00:46:41 UTC 2015 年 1 月 9 日 (金) 9 時 46 分 41 秒 (日本時間)
4511e61385585CypAugust 4, 2015 11:51:13 UTC 2015 年 8 月 4 日 (火) 20 時 51 分 13 秒 (日本時間)
800Dmitry DomanovNovember 28, 2018 23:28:00 UTC 2018 年 11 月 29 日 (木) 8 時 28 分 0 秒 (日本時間)
5043e61700 / 7231300Dmitry DomanovFebruary 14, 2019 22:30:43 UTC 2019 年 2 月 15 日 (金) 7 時 30 分 43 秒 (日本時間)
600Dmitry DomanovMarch 1, 2019 15:05:11 UTC 2019 年 3 月 2 日 (土) 0 時 5 分 11 秒 (日本時間)
800Dmitry DomanovMarch 18, 2019 08:04:51 UTC 2019 年 3 月 18 日 (月) 17 時 4 分 51 秒 (日本時間)

## 7×10238+839

### c222

name 名前 Dmitry Domanov March 4, 2019 00:18:17 UTC 2019 年 3 月 4 日 (月) 9 時 18 分 17 秒 (日本時間) `194312448494438371750838822889804670726974605768717075368926472917452921064582618119653281494665291999711322336329219688152160417120769476974982748392713229697316583222398490933450506217796057732570945775978157809333344149<222>` ```92220762709190832227321696288368713597960769<44> 2107035799597360727746170122413230938271777463966705499994257627038522609491104783657573507979456338383190827738502241565797278809854687516525162977961434372086931039850063272021<178>``` ```Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:514586442 Step 1 took 222059ms Step 2 took 65274ms ********** Factor found in step 2: 92220762709190832227321696288368713597960769 Found prime factor of 44 digits: 92220762709190832227321696288368713597960769 Prime cofactor 2107035799597360727746170122413230938271777463966705499994257627038522609491104783657573507979456338383190827738502241565797278809854687516525162977961434372086931039850063272021 has 178 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:28 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 28 秒 (日本時間)
4511e61385585CypMay 14, 2015 11:08:56 UTC 2015 年 5 月 14 日 (木) 20 時 8 分 56 秒 (日本時間)
800Dmitry DomanovJanuary 14, 2019 21:36:02 UTC 2019 年 1 月 15 日 (火) 6 時 36 分 2 秒 (日本時間)
5043e6900 / 7231300Dmitry DomanovFebruary 17, 2019 22:27:26 UTC 2019 年 2 月 18 日 (月) 7 時 27 分 26 秒 (日本時間)
600Dmitry DomanovMarch 3, 2019 17:48:47 UTC 2019 年 3 月 4 日 (月) 2 時 48 分 47 秒 (日本時間)

## 7×10243+839

### c215

composite cofactor 合成数の残り `97255654912997382358347877612289197840689271726866039299661528050693966066880198599190427758751174268537187043578679355673887851175154589830554110572462849662609398208371342014798663277604301867267322145174863409863<215>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:28 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 28 秒 (日本時間)
4511e61385585CypJune 8, 2015 05:55:12 UTC 2015 年 6 月 8 日 (月) 14 時 55 分 12 秒 (日本時間)
800Dmitry DomanovJanuary 14, 2019 21:36:50 UTC 2019 年 1 月 15 日 (火) 6 時 36 分 50 秒 (日本時間)
5043e61700 / 7231300Dmitry DomanovFebruary 18, 2019 22:24:44 UTC 2019 年 2 月 19 日 (火) 7 時 24 分 44 秒 (日本時間)
600Dmitry DomanovMarch 3, 2019 16:52:02 UTC 2019 年 3 月 4 日 (月) 1 時 52 分 2 秒 (日本時間)
800Dmitry DomanovMarch 25, 2019 14:30:55 UTC 2019 年 3 月 25 日 (月) 23 時 30 分 55 秒 (日本時間)

## 7×10244+839

### c208

name 名前 Dmitry Domanov February 19, 2019 15:43:18 UTC 2019 年 2 月 20 日 (水) 0 時 43 分 18 秒 (日本時間) `1902664737606427254900834648681533526566125052558995324329706610692183511269012999711178543216936581665423501496485074312484132461337312253228495790689117467662945609584597115109471090542236275548772561410329<208>` ```7941051369426041332294499087906298963316091603<46> 239598593321270372830697746857990394242404597893184924454921429939973162860444744953827699505722643120913687851369083410449490559746785207118876120965940628463843<162>``` ```Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2745227706 Step 1 took 382476ms Step 2 took 100061ms ********** Factor found in step 2: 7941051369426041332294499087906298963316091603 Found probable prime factor of 46 digits: 7941051369426041332294499087906298963316091603```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:29 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 29 秒 (日本時間)
4511e61385 / 3356585CypAugust 4, 2015 13:49:24 UTC 2015 年 8 月 4 日 (火) 22 時 49 分 24 秒 (日本時間)
800Dmitry DomanovJanuary 14, 2019 21:36:36 UTC 2019 年 1 月 15 日 (火) 6 時 36 分 36 秒 (日本時間)
5043e6300 / 7231Dmitry DomanovFebruary 18, 2019 22:25:11 UTC 2019 年 2 月 19 日 (火) 7 時 25 分 11 秒 (日本時間)

## 7×10245+839

### c218

name 名前 Cyp January 9, 2015 00:36:03 UTC 2015 年 1 月 9 日 (金) 9 時 36 分 3 秒 (日本時間) `14246189938338276028907145618159684692157293735808933706506334177587365110517974954234814468009911934335881893275664798689673419285728935304338658127070140622531563281608168335634751800043831361454852864323813604542679<218>` `82091242303204198050563583823<29>` `173540922742037935300731855974813870410657692885687766415310412728760668085627365326164240928212227794121673295269030369621746708382940713695711652851093583410137218123917051985222760033273<189>` ```Run 13 out of 281: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=272427956 Step 1 took 21872ms Step 2 took 6763ms ********** Factor found in step 2: 82091242303204198050563583823 Found probable prime factor of 29 digits: 82091242303204198050563583823 Composite cofactor 173540922742037935300731855974813870410657692885687766415310412728760668085627365326164240928212227794121673295269030369621746708382940713695711652851093583410137218123917051985222760033273 has 189 digits``` `GMP-ECM 6.4.4` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### c189

name 名前 Cyp August 4, 2015 06:18:51 UTC 2015 年 8 月 4 日 (火) 15 時 18 分 51 秒 (日本時間) `173540922742037935300731855974813870410657692885687766415310412728760668085627365326164240928212227794121673295269030369621746708382940713695711652851093583410137218123917051985222760033273<189>` `59895556917050087363594645274183170166259<41>` `2897392255361718562136151182734357144274864296913903371025368879472567839728782609206859211223082981304675256930327652370982392972466226223209454947<148>` ```Run 244 out of 504: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4281074324 Step 1 took 59057ms Step 2 took 19444ms ********** Factor found in step 2: 59895556917050087363594645274183170166259 Found probable prime factor of 41 digits: 59895556917050087363594645274183170166259 Composite cofactor 2897392255361718562136151182734357144274864296913903371025368879472567839728782609206859211223082981304675256930327652370982392972466226223209454947 has 148 digits``` `GMP-ECM 6.4.4` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### c148

name 名前 Lionel Debroux April 10, 2016 09:38:32 UTC 2016 年 4 月 10 日 (日) 18 時 38 分 32 秒 (日本時間) `2897392255361718562136151182734357144274864296913903371025368879472567839728782609206859211223082981304675256930327652370982392972466226223209454947<148>` ```14218973996966411327081173420186023556402719359<47> 203769432026521126138841553888304102852249812503750336577105382353965701217189319167339181023934427933<102>``` ```14218973996966411327081173420186023556402719359 B1=43e6``` `GMP-ECM 7.0` `Core i7-2670QM @ 2.2 GHz, Debian sid amd64`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6581300Serge BatalovJanuary 9, 2015 00:08:29 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 29 秒 (日本時間)
281CypJanuary 9, 2015 00:36:03 UTC 2015 年 1 月 9 日 (金) 9 時 36 分 3 秒 (日本時間)
4511e61304 / 4347504CypAugust 4, 2015 06:18:51 UTC 2015 年 8 月 4 日 (火) 15 時 18 分 51 秒 (日本時間)
800Dmitry DomanovMarch 1, 2016 13:18:45 UTC 2016 年 3 月 1 日 (火) 22 時 18 分 45 秒 (日本時間)

## 7×10246+839

### c193

composite cofactor 合成数の残り `2767471327424610254438535479434669178812011493120946884971051727067309752169883878547731614846431565909187784087993258166580324821112449925715581259335351075508964921353697181938068046711806769<193>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:08:31 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 31 秒 (日本時間)
1CypJanuary 9, 2015 00:21:09 UTC 2015 年 1 月 9 日 (金) 9 時 21 分 9 秒 (日本時間)
4511e61385585CypJanuary 31, 2015 14:25:43 UTC 2015 年 1 月 31 日 (土) 23 時 25 分 43 秒 (日本時間)
800Dmitry DomanovNovember 30, 2018 00:41:20 UTC 2018 年 11 月 30 日 (金) 9 時 41 分 20 秒 (日本時間)
5043e61700 / 7231300Dmitry DomanovFebruary 15, 2019 23:53:02 UTC 2019 年 2 月 16 日 (土) 8 時 53 分 2 秒 (日本時間)
600Dmitry DomanovMarch 4, 2019 05:47:13 UTC 2019 年 3 月 4 日 (月) 14 時 47 分 13 秒 (日本時間)
800Dmitry DomanovMarch 22, 2019 17:37:57 UTC 2019 年 3 月 23 日 (土) 2 時 37 分 57 秒 (日本時間)

## 7×10247+839

### c242

composite cofactor 合成数の残り `95373174795867344088702502455859250993584110284089438238375713084790839815303034638174611933364125244053141932996257284126225034368404774653625066250294634986422947330845455945086850900390893769270490585986410685065514558715132589150075140437<242>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62401300Serge BatalovJanuary 9, 2015 00:08:31 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 31 秒 (日本時間)
1CypJanuary 9, 2015 01:06:06 UTC 2015 年 1 月 9 日 (金) 10 時 6 分 6 秒 (日本時間)
2100Serge BatalovJanuary 9, 2015 18:41:18 UTC 2015 年 1 月 10 日 (土) 3 時 41 分 18 秒 (日本時間)
4511e62100Serge BatalovJanuary 9, 2015 20:57:04 UTC 2015 年 1 月 10 日 (土) 5 時 57 分 4 秒 (日本時間)
5043e61400 / 6991600Dmitry DomanovMarch 3, 2019 18:45:10 UTC 2019 年 3 月 4 日 (月) 3 時 45 分 10 秒 (日本時間)
800Dmitry DomanovMarch 26, 2019 23:09:05 UTC 2019 年 3 月 27 日 (水) 8 時 9 分 5 秒 (日本時間)

## 7×10248+839

### c227

name 名前 Serge Batalov January 9, 2015 03:54:45 UTC 2015 年 1 月 9 日 (金) 12 時 54 分 45 秒 (日本時間) `37588313216993768621720963633202331633670793926824730901698978435524517758247931874117489044489210657938067936984980751887158149193797312849444381813311526906226659156698187922591283180392733686232363569591227730861583665542647<227>` `896201262399148624211727929271974789<36>` `41941821323001828515290206379140255637584981662719696669596534951954602867272480754851069203615875491886792126742838271328888262526665297291251615407766778955425009177376898075138487373352523<191>` ```Input number is 37588313216993768621720963633202331633670793926824730901698978435524517758247931874117489044489210657938067936984980751887158149193797312849444381813311526906226659156698187922591283180392733686232363569591227730861583665542647 (227 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1312715319 Step 1 took 20019ms Step 2 took 5455ms ********** Factor found in step 2: 896201262399148624211727929271974789 Found probable prime factor of 36 digits: 896201262399148624211727929271974789 Composite cofactor 41941821323001828515290206379140255637584981662719696669596534951954602867272480754851069203615875491886792126742838271328888262526665297291251615407766778955425009177376898075138487373352523 has 191 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:32 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 32 秒 (日本時間)
4511e61385585CypMay 31, 2015 20:51:49 UTC 2015 年 6 月 1 日 (月) 5 時 51 分 49 秒 (日本時間)
800Dmitry DomanovNovember 30, 2018 00:41:45 UTC 2018 年 11 月 30 日 (金) 9 時 41 分 45 秒 (日本時間)
5043e61700 / 7231300Dmitry DomanovFebruary 15, 2019 23:53:32 UTC 2019 年 2 月 16 日 (土) 8 時 53 分 32 秒 (日本時間)
600Dmitry DomanovFebruary 26, 2019 20:34:48 UTC 2019 年 2 月 27 日 (水) 5 時 34 分 48 秒 (日本時間)
800Dmitry DomanovMarch 22, 2019 17:38:20 UTC 2019 年 3 月 23 日 (土) 2 時 38 分 20 秒 (日本時間)

## 7×10249+839

### c240

name 名前 Dmitry Domanov March 28, 2019 07:24:05 UTC 2019 年 3 月 28 日 (木) 16 時 24 分 5 秒 (日本時間) `523327348051163050634194332711009122744978149142048207921429078141344194106075129723222227705421891953143882602752928511299663577212564011542467019561204810880397696774827835120486022044768153569619612751941622829540185579519693444959167319<240>` `39282249944072386058443668053281015551323653<44>` `13322234566407062790524108283160047879235411432240242617161952821375005396634596531530574843918047687234944734026061376431558284256495905091186052209671313309153999262358621470753667192999767486123<197>` ```Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=269674820 Step 1 took 446816ms Step 2 took 106540ms ********** Factor found in step 2: 39282249944072386058443668053281015551323653 Found probable prime factor of 44 digits: 39282249944072386058443668053281015551323653```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:08:32 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 32 秒 (日本時間)
4511e61385585CypJune 21, 2015 16:56:48 UTC 2015 年 6 月 22 日 (月) 1 時 56 分 48 秒 (日本時間)
800Dmitry DomanovJanuary 19, 2019 02:07:14 UTC 2019 年 1 月 19 日 (土) 11 時 7 分 14 秒 (日本時間)
5043e61700 / 7231500Dmitry DomanovFebruary 18, 2019 22:29:21 UTC 2019 年 2 月 19 日 (火) 7 時 29 分 21 秒 (日本時間)
400Dmitry DomanovMarch 4, 2019 00:18:41 UTC 2019 年 3 月 4 日 (月) 9 時 18 分 41 秒 (日本時間)
800Dmitry DomanovMarch 26, 2019 23:09:40 UTC 2019 年 3 月 27 日 (水) 8 時 9 分 40 秒 (日本時間)

## 7×10250+839

### c244

name 名前 Dmitry Domanov March 3, 2019 20:24:51 UTC 2019 年 3 月 4 日 (月) 5 時 24 分 51 秒 (日本時間) `6634919524587163459109607069639451838114408950468524842228722547665024903222589891548448988037334881733981242703365733541063185191693725290256402673645085453498171274002176822311452411371455874799447709298773364513663716307523212028995356598963<244>` `3133242681692887571038449353172774971761849299199<49>` `2117588772601017852023763026043953483594873472443652213134963827931130170240470844420558978111316405328511016472798116192504134488563293356545363474573058502796670248361052521303107550232006351437<196>` ```Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:1660044648 Step 1 took 250099ms Step 2 took 68932ms ********** Factor found in step 2: 3133242681692887571038449353172774971761849299199 Found prime factor of 49 digits: 3133242681692887571038449353172774971761849299199 Composite cofactor 2117588772601017852023763026043953483594873472443652213134963827931130170240470844420558978111316405328511016472798116192504134488563293356545363474573058502796670248361052521303107550232006351437 has 196 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:08:33 UTC 2015 年 1 月 9 日 (金) 9 時 8 分 33 秒 (日本時間)
1CypJanuary 9, 2015 00:48:56 UTC 2015 年 1 月 9 日 (金) 9 時 48 分 56 秒 (日本時間)
4511e6600Dmitry DomanovApril 21, 2015 10:59:45 UTC 2015 年 4 月 21 日 (火) 19 時 59 分 45 秒 (日本時間)
5043e61900 / 7407600Dmitry DomanovJune 17, 2015 00:31:13 UTC 2015 年 6 月 17 日 (水) 9 時 31 分 13 秒 (日本時間)
500Dmitry DomanovMarch 3, 2019 18:45:31 UTC 2019 年 3 月 4 日 (月) 3 時 45 分 31 秒 (日本時間)
800Dmitry DomanovMarch 22, 2019 17:38:38 UTC 2019 年 3 月 23 日 (土) 2 時 38 分 38 秒 (日本時間)

## 7×10252+839

### c190

composite cofactor 合成数の残り `4667636984769280728994815162139558367136171769158428701636960640445219928826764368287198155953994377674197348065249640591993500954284042664791551272754453939580710211897472895985449206035687<190>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovNovember 30, 2018 19:57:57 UTC 2018 年 12 月 1 日 (土) 4 時 57 分 57 秒 (日本時間)
5043e61700 / 7257300Dmitry DomanovFebruary 17, 2019 00:38:45 UTC 2019 年 2 月 17 日 (日) 9 時 38 分 45 秒 (日本時間)
600Dmitry DomanovFebruary 26, 2019 20:34:14 UTC 2019 年 2 月 27 日 (水) 5 時 34 分 14 秒 (日本時間)
800Dmitry DomanovMarch 22, 2019 17:38:55 UTC 2019 年 3 月 23 日 (土) 2 時 38 分 55 秒 (日本時間)

## 7×10253+839

### c233

composite cofactor 合成数の残り `14210826756651129897000214118227027702178697294416132359779778103872675081515930948867450046974154117152380738094443699077321471494282835923819684261865558793344712277329861689481835085502041652614487077787780952968041693936180420001<233>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 15, 2019 00:12:04 UTC 2019 年 1 月 15 日 (火) 9 時 12 分 4 秒 (日本時間)
5043e61700 / 7257300Dmitry DomanovFebruary 18, 2019 23:57:06 UTC 2019 年 2 月 19 日 (火) 8 時 57 分 6 秒 (日本時間)
600Dmitry DomanovMarch 2, 2019 17:21:14 UTC 2019 年 3 月 3 日 (日) 2 時 21 分 14 秒 (日本時間)
800Dmitry DomanovMarch 26, 2019 23:27:36 UTC 2019 年 3 月 27 日 (水) 8 時 27 分 36 秒 (日本時間)

## 7×10254+839

### c205

composite cofactor 合成数の残り `2031550097600705283925794143774000947064740273901170621745543824461252025221545874129852256351467557176867846079281873897393648190805758818276764571796486795168470012652602890017828207085718107670442172943<205>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900800Dmitry DomanovJanuary 14, 2019 21:37:34 UTC 2019 年 1 月 15 日 (火) 6 時 37 分 34 秒 (日本時間)
100Dmitry DomanovJanuary 14, 2019 21:37:47 UTC 2019 年 1 月 15 日 (火) 6 時 37 分 47 秒 (日本時間)
5043e61700 / 7257300Dmitry DomanovFebruary 18, 2019 23:57:44 UTC 2019 年 2 月 19 日 (火) 8 時 57 分 44 秒 (日本時間)
600Dmitry DomanovFebruary 26, 2019 20:35:15 UTC 2019 年 2 月 27 日 (水) 5 時 35 分 15 秒 (日本時間)
800Dmitry DomanovMarch 28, 2019 12:29:04 UTC 2019 年 3 月 28 日 (木) 21 時 29 分 4 秒 (日本時間)

## 7×10255+839

### c253

composite cofactor 合成数の残り `1546277888226198365363375303733156615860393196377291804727192401148663574110890214269935939916059200353434945880273912083057212281864369339518444886238126794786834548265959796774906118842500552242102937927987629776894190413077092997570134747073116854429<253>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovJanuary 20, 2019 10:16:35 UTC 2019 年 1 月 20 日 (日) 19 時 16 分 35 秒 (日本時間)
5043e61550 / 7010550Dmitry DomanovJanuary 23, 2019 23:39:30 UTC 2019 年 1 月 24 日 (木) 8 時 39 分 30 秒 (日本時間)
1000Dmitry DomanovMarch 28, 2019 13:07:55 UTC 2019 年 3 月 28 日 (木) 22 時 7 分 55 秒 (日本時間)

## 7×10258+839

### c258

composite cofactor 合成数の残り `777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777787<258>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62400Dmitry DomanovNovember 5, 2018 21:37:24 UTC 2018 年 11 月 6 日 (火) 6 時 37 分 24 秒 (日本時間)
5043e64440440Dmitry DomanovJanuary 6, 2019 09:42:12 UTC 2019 年 1 月 6 日 (日) 18 時 42 分 12 秒 (日本時間)
4000Dmitry DomanovMarch 19, 2019 09:26:41 UTC 2019 年 3 月 19 日 (火) 18 時 26 分 41 秒 (日本時間)
5511e7110301030Dmitry DomanovOctober 7, 2020 18:09:36 UTC 2020 年 10 月 8 日 (木) 3 時 9 分 36 秒 (日本時間)
10000yoyo@HomeMarch 18, 2024 00:30:32 UTC 2024 年 3 月 18 日 (月) 9 時 30 分 32 秒 (日本時間)
6026e712000 / 37288yoyo@HomeMay 17, 2024 01:26:30 UTC 2024 年 5 月 17 日 (金) 10 時 26 分 30 秒 (日本時間)

## 7×10259+839

### c174

composite cofactor 合成数の残り `305284883030055744105014523273052834847613558880999570660065336202518854433761839296330951162560352054903077666479127758088139463672661772940307459058742450101153877875748507<174>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62400Dmitry DomanovNovember 7, 2018 14:15:45 UTC 2018 年 11 月 7 日 (水) 23 時 15 分 45 秒 (日本時間)
5043e63032 / 6920440Dmitry DomanovNovember 21, 2018 23:06:58 UTC 2018 年 11 月 22 日 (木) 8 時 6 分 58 秒 (日本時間)
800Dmitry DomanovMarch 4, 2019 20:45:57 UTC 2019 年 3 月 5 日 (火) 5 時 45 分 57 秒 (日本時間)
1792Dmitry DomanovMay 24, 2024 18:45:51 UTC 2024 年 5 月 25 日 (土) 3 時 45 分 51 秒 (日本時間)

## 7×10261+839

### c167

composite cofactor 合成数の残り `40018704803170277119868087908358086304175378881063887073781363878736391491789396118284940241406628441162948028079975201674099322241569983017966575174267154725228019873<167>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62400Dmitry DomanovNovember 17, 2018 22:10:39 UTC 2018 年 11 月 18 日 (日) 7 時 10 分 39 秒 (日本時間)
5043e64824 / 6920440Dmitry DomanovNovember 21, 2018 11:27:45 UTC 2018 年 11 月 21 日 (水) 20 時 27 分 45 秒 (日本時間)
800Dmitry DomanovMarch 4, 2019 20:46:29 UTC 2019 年 3 月 5 日 (火) 5 時 46 分 29 秒 (日本時間)
1792Dmitry DomanovJune 30, 2024 18:24:34 UTC 2024 年 7 月 1 日 (月) 3 時 24 分 34 秒 (日本時間)
1792Dmitry DomanovJune 30, 2024 23:12:45 UTC 2024 年 7 月 1 日 (月) 8 時 12 分 45 秒 (日本時間)

## 7×10263+839

### c215

composite cofactor 合成数の残り `14163987064254534516127446493940064144008649312211867155878300635692193232111050817985902087084574872422846700003616429172609839674117029758488980801797159374735591698128137132282368493319993996692830744596484355357<215>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 15, 2019 00:13:05 UTC 2019 年 1 月 15 日 (火) 9 時 13 分 5 秒 (日本時間)
5043e61700 / 7257300Dmitry DomanovFebruary 18, 2019 23:58:08 UTC 2019 年 2 月 19 日 (火) 8 時 58 分 8 秒 (日本時間)
600Dmitry DomanovFebruary 27, 2019 00:15:03 UTC 2019 年 2 月 27 日 (水) 9 時 15 分 3 秒 (日本時間)
800Dmitry DomanovMarch 28, 2019 14:08:04 UTC 2019 年 3 月 28 日 (木) 23 時 8 分 4 秒 (日本時間)

## 7×10264+839

### c232

composite cofactor 合成数の残り `5532280851626043948422340672925084176792303173754862354021585197306369912946412145832030441392489082628637672093620096971682909531407085945606731509075531957569540972280919415090416179016150594263005639458645071256211481016289570627<232>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 15, 2019 23:48:19 UTC 2019 年 1 月 16 日 (水) 8 時 48 分 19 秒 (日本時間)
5043e61700 / 7257300Dmitry DomanovFebruary 18, 2019 23:58:28 UTC 2019 年 2 月 19 日 (火) 8 時 58 分 28 秒 (日本時間)
600Dmitry DomanovMarch 2, 2019 01:00:15 UTC 2019 年 3 月 2 日 (土) 10 時 0 分 15 秒 (日本時間)
800Dmitry DomanovMarch 28, 2019 14:08:39 UTC 2019 年 3 月 28 日 (木) 23 時 8 分 39 秒 (日本時間)

## 7×10265+839

### c188

name 名前 Dmitry Domanov December 1, 2018 11:03:44 UTC 2018 年 12 月 1 日 (土) 20 時 3 分 44 秒 (日本時間) `11182081532874457374004332276317111263899086733713464404446305451337241685244735580480211066581372960904744479711417179844227234964596623993298755061064500110167456727121110965817833598281<188>` ```710698844085186345862650775781640644017<39> 15733923905938057063135540621704449932209350650156350742363790364074737471858688773817191449308674356211360202039958063139621327855918394824681959193<149>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3087338672 Step 1 took 96157ms Step 2 took 34264ms ********** Factor found in step 2: 710698844085186345862650775781640644017 Found probable prime factor of 39 digits: 710698844085186345862650775781640644017```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900 / 3928Dmitry DomanovNovember 30, 2018 19:58:54 UTC 2018 年 12 月 1 日 (土) 4 時 58 分 54 秒 (日本時間)

## 7×10266+839

### c166

composite cofactor 合成数の残り `3703263253039667783097141138633410470086513765466208805779803171209992061600985869513194247472811411225082457844714627694415881124180327650705235016736063258631933601<166>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovNovember 15, 2018 14:06:32 UTC 2018 年 11 月 15 日 (木) 23 時 6 分 32 秒 (日本時間)
5043e61550 / 7010550Dmitry DomanovNovember 22, 2018 13:39:47 UTC 2018 年 11 月 22 日 (木) 22 時 39 分 47 秒 (日本時間)
1000Dmitry DomanovMarch 5, 2019 07:57:55 UTC 2019 年 3 月 5 日 (火) 16 時 57 分 55 秒 (日本時間)

## 7×10267+839

### c252

name 名前 Dmitry Domanov February 27, 2019 09:30:08 UTC 2019 年 2 月 27 日 (水) 18 時 30 分 8 秒 (日本時間) `287694111105394203573592332282091444558391734268632531676259386397684118452890184136302751775185481384611405036521651262284555690769303000138513897011956268091229502802871800265472877002741827878585354139664008340115802114780520491824576410494952717643<252>` `46599471708444170202863059579429467691075996053653<50>` `6173763361640468875867110088992521280440304536460805426076909459559725408832015592112354093363334953219906163690090361706850648180217848559418307554689684650012170663875927842709013488293254660833844831<202>` ```Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:6634175 Step 1 took 261582ms Step 2 took 73016ms ********** Factor found in step 2: 46599471708444170202863059579429467691075996053653 Found prime factor of 50 digits: 46599471708444170202863059579429467691075996053653```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 20, 2019 11:25:50 UTC 2019 年 1 月 20 日 (日) 20 時 25 分 50 秒 (日本時間)
5043e61700 / 7257300Dmitry DomanovFebruary 19, 2019 07:58:14 UTC 2019 年 2 月 19 日 (火) 16 時 58 分 14 秒 (日本時間)
600Dmitry DomanovFebruary 26, 2019 23:12:24 UTC 2019 年 2 月 27 日 (水) 8 時 12 分 24 秒 (日本時間)
800Dmitry DomanovMarch 30, 2019 01:05:38 UTC 2019 年 3 月 30 日 (土) 10 時 5 分 38 秒 (日本時間)

## 7×10268+839

### c213

composite cofactor 合成数の残り `234219491370574229279594262972784777839373345748929972964776064195984487531236117403271668386230349634000387293626014354163378311055071709440284374748218313577912021712384136681733624442543940840854322907250546609<213>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 15, 2019 23:49:02 UTC 2019 年 1 月 16 日 (水) 8 時 49 分 2 秒 (日本時間)
5043e61700 / 7257300Dmitry DomanovFebruary 18, 2019 23:58:53 UTC 2019 年 2 月 19 日 (火) 8 時 58 分 53 秒 (日本時間)
600Dmitry DomanovMarch 1, 2019 07:23:25 UTC 2019 年 3 月 1 日 (金) 16 時 23 分 25 秒 (日本時間)
800Dmitry DomanovMarch 29, 2019 23:45:34 UTC 2019 年 3 月 30 日 (土) 8 時 45 分 34 秒 (日本時間)

## 7×10269+839

### c173

composite cofactor 合成数の残り `15791200475682358379235415414162354998012224606759474408433563660753458934955431555838840905067581916335500691800354715237312464244729143310413725200344088380254051640431797<173>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovNovember 7, 2018 06:17:32 UTC 2018 年 11 月 7 日 (水) 15 時 17 分 32 秒 (日本時間)
5043e62160 / 7010560Dmitry DomanovNovember 21, 2018 23:08:49 UTC 2018 年 11 月 22 日 (木) 8 時 8 分 49 秒 (日本時間)
800Dmitry DomanovMarch 4, 2019 22:02:04 UTC 2019 年 3 月 5 日 (火) 7 時 2 分 4 秒 (日本時間)
800Dmitry DomanovMarch 9, 2019 09:58:58 UTC 2019 年 3 月 9 日 (土) 18 時 58 分 58 秒 (日本時間)

## 7×10270+839

### c245

composite cofactor 合成数の残り `20606884625820377432410821171979576512404556932377442685381435068218018921105137011431937832342130179990435419883917943372434201383083373402967263459800820028706210130613279817211915950119779279342100010012014490222006762576352718681569810161167<245>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 20, 2019 11:26:14 UTC 2019 年 1 月 20 日 (日) 20 時 26 分 14 秒 (日本時間)
5043e61700 / 7257300Dmitry DomanovFebruary 21, 2019 18:52:07 UTC 2019 年 2 月 22 日 (金) 3 時 52 分 7 秒 (日本時間)
600Dmitry DomanovFebruary 26, 2019 23:13:06 UTC 2019 年 2 月 27 日 (水) 8 時 13 分 6 秒 (日本時間)
800Dmitry DomanovMarch 30, 2019 01:11:30 UTC 2019 年 3 月 30 日 (土) 10 時 11 分 30 秒 (日本時間)

## 7×10271+839

### c218

composite cofactor 合成数の残り `61309132627361255621363379361034823483139045500259094649828924469713695627055844204628806814271935970524771369523736747200476237566055409337320531704422362257592899261891339104740915208858548806991349110508575248579713<218>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 15, 2019 23:49:49 UTC 2019 年 1 月 16 日 (水) 8 時 49 分 49 秒 (日本時間)
5043e61700 / 7257300Dmitry DomanovFebruary 19, 2019 08:01:26 UTC 2019 年 2 月 19 日 (火) 17 時 1 分 26 秒 (日本時間)
600Dmitry DomanovMarch 1, 2019 07:23:49 UTC 2019 年 3 月 1 日 (金) 16 時 23 分 49 秒 (日本時間)
800Dmitry DomanovMarch 29, 2019 23:46:00 UTC 2019 年 3 月 30 日 (土) 8 時 46 分 0 秒 (日本時間)

## 7×10272+839

### c243

composite cofactor 合成数の残り `709009288536743366121524455891796942516791266937182488917474660796107698798005722231611637198956999105040769631532804420604955412871807826644371079023600384327558137110483710138747616981118157765004146298689807668233125126238932884960540509573<243>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 20, 2019 11:26:27 UTC 2019 年 1 月 20 日 (日) 20 時 26 分 27 秒 (日本時間)
5043e61700 / 7257300Dmitry DomanovFebruary 20, 2019 20:59:06 UTC 2019 年 2 月 21 日 (木) 5 時 59 分 6 秒 (日本時間)
600Dmitry DomanovFebruary 27, 2019 12:42:38 UTC 2019 年 2 月 27 日 (水) 21 時 42 分 38 秒 (日本時間)
800Dmitry DomanovMarch 30, 2019 01:12:22 UTC 2019 年 3 月 30 日 (土) 10 時 12 分 22 秒 (日本時間)

## 7×10273+839

### c246

composite cofactor 合成数の残り `114450818542886556757386490414042718340580561283152742787147938784765432613647627318051802134657528861951178688222686456762449669136061840424094795878545971067893075726020679460562487669191933276950068738395954637307691463148486867513013390058051<246>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 20, 2019 11:26:40 UTC 2019 年 1 月 20 日 (日) 20 時 26 分 40 秒 (日本時間)
5043e61700 / 7257300Dmitry DomanovFebruary 21, 2019 18:18:13 UTC 2019 年 2 月 22 日 (金) 3 時 18 分 13 秒 (日本時間)
600Dmitry DomanovFebruary 27, 2019 12:41:38 UTC 2019 年 2 月 27 日 (水) 21 時 41 分 38 秒 (日本時間)
800Dmitry DomanovMarch 31, 2019 00:39:59 UTC 2019 年 3 月 31 日 (日) 9 時 39 分 59 秒 (日本時間)

## 7×10274+839

### c262

name 名前 Dmitry Domanov March 31, 2019 09:55:06 UTC 2019 年 3 月 31 日 (日) 18 時 55 分 6 秒 (日本時間) `1358783994402553930562745784938584547429920309220960466631817474794043215883236701148254925985947059521468519435762437180615800632106826026705340035811200472976790087393638173201230169141375766143359377063252888578027810894535121599670244054211180662343183217637<262>` `33332745676372725943347767504524561568473181607067<50>` `40764238493731458946835914706633730302263278481744493639197980277542265406704327552951954967026597647535492752516619065065177385392728222344272954628987099417412491257508355942615904929932085968034971602026979711<212>` ```Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:1894654249 Step 1 took 285765ms Step 2 took 80382ms ********** Factor found in step 2: 33332745676372725943347767504524561568473181607067 Found prime factor of 50 digits: 33332745676372725943347767504524561568473181607067```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 20, 2019 11:27:03 UTC 2019 年 1 月 20 日 (日) 20 時 27 分 3 秒 (日本時間)
5043e61700 / 7257600Dmitry DomanovFebruary 21, 2019 18:17:28 UTC 2019 年 2 月 22 日 (金) 3 時 17 分 28 秒 (日本時間)
300Dmitry DomanovMarch 2, 2019 20:48:55 UTC 2019 年 3 月 3 日 (日) 5 時 48 分 55 秒 (日本時間)
800Dmitry DomanovMarch 30, 2019 20:36:46 UTC 2019 年 3 月 31 日 (日) 5 時 36 分 46 秒 (日本時間)

## 7×10275+839

### c237

name 名前 Dmitry Domanov March 31, 2019 09:56:10 UTC 2019 年 3 月 31 日 (日) 18 時 56 分 10 秒 (日本時間) `198681054370438796265649149957481049349197969266499521224360118959172836814804506483321447259162073019451744497925790455402072317374378729198300142689377553138151693275593289180342203323216485011339642551484220586690232629074277801922771<237>` `36427441826016949910634520779415502913611963<44>` `5454158854178396314172301874910205910501437114758354397006954744706223622871104775869680471773515251012564025493958315196876548861354991261542897902886942503757693958512345659905924374456623817<193>` ```Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:2128655747 Step 1 took 335273ms Step 2 took 90609ms ********** Factor found in step 2: 36427441826016949910634520779415502913611963 Found prime factor of 44 digits: 36427441826016949910634520779415502913611963```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 16, 2019 10:30:10 UTC 2019 年 1 月 16 日 (水) 19 時 30 分 10 秒 (日本時間)
5043e61700 / 7257300Dmitry DomanovFebruary 20, 2019 20:58:24 UTC 2019 年 2 月 21 日 (木) 5 時 58 分 24 秒 (日本時間)
600Dmitry DomanovFebruary 28, 2019 16:05:12 UTC 2019 年 3 月 1 日 (金) 1 時 5 分 12 秒 (日本時間)
800Dmitry DomanovMarch 31, 2019 00:33:52 UTC 2019 年 3 月 31 日 (日) 9 時 33 分 52 秒 (日本時間)

## 7×10276+839

### c204

composite cofactor 合成数の残り `758279601554197469454763788500155876212788890885566218913167909621642996151199418206100247991436512210021346480651980170716032991142309404069339332980636387185671329574822074755755674203522956515101559857<204>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 16, 2019 14:23:32 UTC 2019 年 1 月 16 日 (水) 23 時 23 分 32 秒 (日本時間)
5043e61700 / 7257300Dmitry DomanovFebruary 17, 2019 00:40:24 UTC 2019 年 2 月 17 日 (日) 9 時 40 分 24 秒 (日本時間)
600Dmitry DomanovMarch 2, 2019 17:20:29 UTC 2019 年 3 月 3 日 (日) 2 時 20 分 29 秒 (日本時間)
800Dmitry DomanovMarch 30, 2019 01:05:12 UTC 2019 年 3 月 30 日 (土) 10 時 5 分 12 秒 (日本時間)

## 7×10277+839

### c277

composite cofactor 合成数の残り `7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777787<277>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62400Dmitry DomanovNovember 7, 2018 06:13:08 UTC 2018 年 11 月 7 日 (水) 15 時 13 分 8 秒 (日本時間)
5043e65638438Dmitry DomanovJanuary 4, 2019 01:41:05 UTC 2019 年 1 月 4 日 (金) 10 時 41 分 5 秒 (日本時間)
1600Dmitry DomanovMarch 7, 2019 23:44:21 UTC 2019 年 3 月 8 日 (金) 8 時 44 分 21 秒 (日本時間)
3600Dmitry DomanovMarch 29, 2019 12:42:39 UTC 2019 年 3 月 29 日 (金) 21 時 42 分 39 秒 (日本時間)
5511e7600 / 15588Dmitry DomanovMay 29, 2019 22:57:25 UTC 2019 年 5 月 30 日 (木) 7 時 57 分 25 秒 (日本時間)

## 7×10278+839

### c263

composite cofactor 合成数の残り `10891656342708822786525964382129597777045158450554225107662787532304553449607426041127959706043400535344872850434276181185589218188309163642994224452876250079858175146934776107729355299537230124730959354290211528166998779817973859555078343617105873713629602749573<263>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 20, 2019 11:27:16 UTC 2019 年 1 月 20 日 (日) 20 時 27 分 16 秒 (日本時間)
5043e61700 / 7257600Dmitry DomanovFebruary 20, 2019 19:49:30 UTC 2019 年 2 月 21 日 (木) 4 時 49 分 30 秒 (日本時間)
300Dmitry DomanovFebruary 27, 2019 12:43:24 UTC 2019 年 2 月 27 日 (水) 21 時 43 分 24 秒 (日本時間)
800Dmitry DomanovApril 1, 2019 09:37:46 UTC 2019 年 4 月 1 日 (月) 18 時 37 分 46 秒 (日本時間)

## 7×10279+839

### c192

composite cofactor 合成数の残り `230713358723228818133339168278081147424335785834728620130269848544431279931361467133296070676698633408704618395301697640941123098937770330140445630649741538034279083855501218804892993198318329<192>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62400Dmitry DomanovNovember 5, 2018 02:06:08 UTC 2018 年 11 月 5 日 (月) 11 時 6 分 8 秒 (日本時間)
5043e64640440Dmitry DomanovNovember 6, 2018 00:36:11 UTC 2018 年 11 月 6 日 (火) 9 時 36 分 11 秒 (日本時間)
1200Dmitry DomanovMarch 5, 2019 21:04:17 UTC 2019 年 3 月 6 日 (水) 6 時 4 分 17 秒 (日本時間)
3000Dmitry DomanovMarch 5, 2019 21:18:26 UTC 2019 年 3 月 6 日 (水) 6 時 18 分 26 秒 (日本時間)
5511e71000 / 15944Dmitry DomanovMarch 6, 2019 23:49:02 UTC 2019 年 3 月 7 日 (木) 8 時 49 分 2 秒 (日本時間)

## 7×10280+839

### c219

composite cofactor 合成数の残り `129664838176271046997118105961383559803102335951569312611309477580819917945229654306143284916446809705930083261889867136797331642847215003535258506579653318570131171004315276466285415644947970805011356147691633832711599<219>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 16, 2019 23:03:46 UTC 2019 年 1 月 17 日 (木) 8 時 3 分 46 秒 (日本時間)
5043e61700 / 7257300Dmitry DomanovFebruary 20, 2019 19:48:03 UTC 2019 年 2 月 21 日 (木) 4 時 48 分 3 秒 (日本時間)
600Dmitry DomanovFebruary 26, 2019 10:53:19 UTC 2019 年 2 月 26 日 (火) 19 時 53 分 19 秒 (日本時間)
800Dmitry DomanovApril 1, 2019 15:40:57 UTC 2019 年 4 月 2 日 (火) 0 時 40 分 57 秒 (日本時間)

## 7×10282+839

### c214

composite cofactor 合成数の残り `1279746087907212301734492485723440722622903653951307261032167378783125798493924953638841750886840368329503297564899590540204692605731762707252939946560179009798320272863655607713759239332641647694452237636290162679<214>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 16, 2019 14:24:24 UTC 2019 年 1 月 16 日 (水) 23 時 24 分 24 秒 (日本時間)
5043e61700 / 7257300Dmitry DomanovFebruary 19, 2019 20:44:11 UTC 2019 年 2 月 20 日 (水) 5 時 44 分 11 秒 (日本時間)
600Dmitry DomanovFebruary 26, 2019 10:53:57 UTC 2019 年 2 月 26 日 (火) 19 時 53 分 57 秒 (日本時間)
800Dmitry DomanovApril 1, 2019 15:41:19 UTC 2019 年 4 月 2 日 (火) 0 時 41 分 19 秒 (日本時間)

## 7×10283+839

### c263

name 名前 Dmitry Domanov April 2, 2019 05:33:46 UTC 2019 年 4 月 2 日 (火) 14 時 33 分 46 秒 (日本時間) `32262595546529710130906546487449397237552761594459455774255650688890113400231886728754259526463641733332242168231645663993299678015992468790174612494823820596996917437598902244807554386110296490193796538171723940686406762255141053785861278595426068656192010546883<263>` `8421405719601236880516641175260589009056755163<46>` `3831022589427906182090231054517474012214568429272414701766957126208891477552364713747192990058029940720527244101438358317454171839421566656962962545523986361838525328398591397579768831454439286958865103437254925040441<217>` ```GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM] Input number is 32262595546529710130906546487449397237552761594459455774255650688890113400231886728754259526463641733332242168231645663993299678015992468790174612494823820596996917437598902244807554386110296490193796538171723940686406762255141053785861278595426068656192010546883 (263 digits) Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:2039711290 Step 1 took 260601ms Step 2 took 73612ms ********** Factor found in step 2: 8421405719601236880516641175260589009056755163 Found prime factor of 46 digits: 8421405719601236880516641175260589009056755163 Composite cofactor 3831022589427906182090231054517474012214568429272414701766957126208891477552364713747192990058029940720527244101438358317454171839421566656962962545523986361838525328398591397579768831454439286958865103437254925040441 has 217 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 21, 2019 00:59:50 UTC 2019 年 1 月 21 日 (月) 9 時 59 分 50 秒 (日本時間)
5043e61700 / 7257600Dmitry DomanovFebruary 19, 2019 20:56:30 UTC 2019 年 2 月 20 日 (水) 5 時 56 分 30 秒 (日本時間)
300Dmitry DomanovFebruary 27, 2019 12:45:32 UTC 2019 年 2 月 27 日 (水) 21 時 45 分 32 秒 (日本時間)
800Dmitry DomanovApril 1, 2019 15:31:22 UTC 2019 年 4 月 2 日 (火) 0 時 31 分 22 秒 (日本時間)

## 7×10284+839

### c252

composite cofactor 合成数の残り `127196945968089141351824557993372901931443917868588357178210635483505062889544891215525047340149871870085157178121635832155828523533389710432214503286607576349790660311355408196885235912325991274971640404893635058212970548238871384646710533166496502263<252>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 21, 2019 05:37:30 UTC 2019 年 1 月 21 日 (月) 14 時 37 分 30 秒 (日本時間)
5043e61700 / 7257300Dmitry DomanovFebruary 20, 2019 19:47:12 UTC 2019 年 2 月 21 日 (木) 4 時 47 分 12 秒 (日本時間)
600Dmitry DomanovFebruary 25, 2019 14:42:35 UTC 2019 年 2 月 25 日 (月) 23 時 42 分 35 秒 (日本時間)
800Dmitry DomanovApril 1, 2019 16:56:59 UTC 2019 年 4 月 2 日 (火) 1 時 56 分 59 秒 (日本時間)

## 7×10285+839

### c279

composite cofactor 合成数の残り `127135714269238534987557863323040970773442649705890595395257035086533016881643170261256446302877991142382137882568845396850772076122399945237199190770281329359361501195266417702246086685525252031569686726521071209930432608509015366040158212768265211202479916507433725105669302971<279>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovJanuary 21, 2019 14:58:28 UTC 2019 年 1 月 21 日 (月) 23 時 58 分 28 秒 (日本時間)
5043e61550 / 7010550Dmitry DomanovJanuary 23, 2019 23:41:07 UTC 2019 年 1 月 24 日 (木) 8 時 41 分 7 秒 (日本時間)
1000Dmitry DomanovApril 6, 2019 01:47:02 UTC 2019 年 4 月 6 日 (土) 10 時 47 分 2 秒 (日本時間)

## 7×10286+839

### c266

composite cofactor 合成数の残り `16971899257593781487115448863844463303892232190395320599525607803825800719233874360373855022427180902654362940206988696277148077281414504985299049424225232103620228079168050355930460077556297920491098728871178603205530924920448748652046750768549383111912381266449917<266>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 21, 2019 00:59:23 UTC 2019 年 1 月 21 日 (月) 9 時 59 分 23 秒 (日本時間)
5043e61664 / 7257864Dmitry DomanovFebruary 19, 2019 16:58:42 UTC 2019 年 2 月 20 日 (水) 1 時 58 分 42 秒 (日本時間)
800Dmitry DomanovApril 2, 2019 21:11:34 UTC 2019 年 4 月 3 日 (水) 6 時 11 分 34 秒 (日本時間)

## 7×10287+839

### c280

composite cofactor 合成数の残り `6397512530145193283339331915260705901349790148337020996645263240138849052949259216944283524156052256600535305463447368902790135258677524305589542340871951894873295756355378055656476315718595979600233516518793191149348495145572061777634583168745899365830119702851628149117279903429<280>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovJanuary 17, 2019 20:00:49 UTC 2019 年 1 月 18 日 (金) 5 時 0 分 49 秒 (日本時間)
5043e61550 / 7010550Dmitry DomanovJanuary 23, 2019 23:40:40 UTC 2019 年 1 月 24 日 (木) 8 時 40 分 40 秒 (日本時間)
1000Dmitry DomanovApril 5, 2019 17:01:48 UTC 2019 年 4 月 6 日 (土) 2 時 1 分 48 秒 (日本時間)

## 7×10288+839

### c245

composite cofactor 合成数の残り `31179472898377490092104603113549600019582188878024050619516362036008956854080341027422850551739940745593227755266009789825951353292531585217820367317436068429417248237565058224790363303730671392517430953374757671926463238073285746346078627460337<245>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 21, 2019 18:15:18 UTC 2019 年 1 月 22 日 (火) 3 時 15 分 18 秒 (日本時間)
5043e61700 / 7257300Dmitry DomanovFebruary 19, 2019 20:42:31 UTC 2019 年 2 月 20 日 (水) 5 時 42 分 31 秒 (日本時間)
600Dmitry DomanovFebruary 28, 2019 16:03:46 UTC 2019 年 3 月 1 日 (金) 1 時 3 分 46 秒 (日本時間)
800Dmitry DomanovApril 2, 2019 21:09:01 UTC 2019 年 4 月 3 日 (水) 6 時 9 分 1 秒 (日本時間)

## 7×10289+839

### c259

composite cofactor 合成数の残り `2797202249547482382634272471348800726577230388554992915208259493738988418836388001368323575056545620400855197282486721924457774407559412001872405604377399928538484922405195609719637920170748543390208292405155849257638102873611478496649315829227731260781855339<259>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 21, 2019 22:50:11 UTC 2019 年 1 月 22 日 (火) 7 時 50 分 11 秒 (日本時間)
5043e61664 / 7257864Dmitry DomanovFebruary 19, 2019 15:36:52 UTC 2019 年 2 月 20 日 (水) 0 時 36 分 52 秒 (日本時間)
800Dmitry DomanovApril 2, 2019 23:46:21 UTC 2019 年 4 月 3 日 (水) 8 時 46 分 21 秒 (日本時間)

## 7×10290+839

### c242

composite cofactor 合成数の残り `42018869228914129895818626764723449907942751801063888080452657903718123513602648827261887212051741313565203270579266895113697192761011136350589761128134014103494935710143495496010037005944706664444192947511518544487722630744781522837233210311<242>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 21, 2019 18:14:39 UTC 2019 年 1 月 22 日 (火) 3 時 14 分 39 秒 (日本時間)
5043e61700 / 7257300Dmitry DomanovFebruary 19, 2019 20:42:54 UTC 2019 年 2 月 20 日 (水) 5 時 42 分 54 秒 (日本時間)
600Dmitry DomanovFebruary 28, 2019 15:55:46 UTC 2019 年 3 月 1 日 (金) 0 時 55 分 46 秒 (日本時間)
800Dmitry DomanovApril 3, 2019 13:58:53 UTC 2019 年 4 月 3 日 (水) 22 時 58 分 53 秒 (日本時間)

## 7×10292+839

### c285

composite cofactor 合成数の残り `154361044958031426007907444429433935401168445632504073383999347326219392881295084051231822198021938625259078199633944248702511069842465225802897894431330260838477861701011216338814943222622747235890396592754254179924543866805788307203327184405210585853773001485400899526640609331492547<285>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovJanuary 17, 2019 09:22:30 UTC 2019 年 1 月 17 日 (木) 18 時 22 分 30 秒 (日本時間)
5043e61550 / 7010550Dmitry DomanovJanuary 22, 2019 23:07:07 UTC 2019 年 1 月 23 日 (水) 8 時 7 分 7 秒 (日本時間)
1000Dmitry DomanovApril 5, 2019 14:59:00 UTC 2019 年 4 月 5 日 (金) 23 時 59 分 0 秒 (日本時間)

## 7×10293+839

### c235

composite cofactor 合成数の残り `4348503941501503988707798170063601633724796531882762036919489893588047832506917442556023705438753071593535097006492092853655131826091704416434102253684569956505734830333723686741518864358918663319520819475482361738270513189930651098217<235>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 17, 2019 00:05:17 UTC 2019 年 1 月 17 日 (木) 9 時 5 分 17 秒 (日本時間)
5043e61700 / 7257300Dmitry DomanovFebruary 19, 2019 20:43:21 UTC 2019 年 2 月 20 日 (水) 5 時 43 分 21 秒 (日本時間)
600Dmitry DomanovFebruary 28, 2019 15:54:49 UTC 2019 年 3 月 1 日 (金) 0 時 54 分 49 秒 (日本時間)
800Dmitry DomanovApril 3, 2019 23:37:53 UTC 2019 年 4 月 4 日 (木) 8 時 37 分 53 秒 (日本時間)

## 7×10294+839

### c221

name 名前 Dmitry Domanov April 5, 2019 15:39:53 UTC 2019 年 4 月 6 日 (土) 0 時 39 分 53 秒 (日本時間) `11860297168129670842812360113679331056462355543361715429062927985643385261448393513531275085640519683438293014347383261612803718979732696794771803261472917580864269642017263000595157002710653116569061476401288540788077317<221>` `1096340743257169397728974345200910638715714877<46>` `10818075713298190202384022864600865645505546597309458844362779505046501290654954562804517255109388521406746771408098181543933292039024372000656686594373222455817901739685263721<176>` ```Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1445926424 Step 1 took 371073ms Step 2 took 90575ms ********** Factor found in step 2: 1096340743257169397728974345200910638715714877 Found probable prime factor of 46 digits: 1096340743257169397728974345200910638715714877 Composite cofactor 10818075713298190202384022864600865645505546597309458844362779505046501290654954562804517255109388521406746771408098181543933292039024372000656686594373222455817901739685263721 has 176 digits```

### c176

name 名前 Dmitry Domanov April 27, 2019 00:26:52 UTC 2019 年 4 月 27 日 (土) 9 時 26 分 52 秒 (日本時間) `10818075713298190202384022864600865645505546597309458844362779505046501290654954562804517255109388521406746771408098181543933292039024372000656686594373222455817901739685263721<176>` ```206546689460596260857458903559326448442608668133<48> 1677455438901900699356520969403875450229417059044689744927499<61> 31223442653737111199196928970500905542742511529722030018337205020863<68>``` ```Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2007798369 Step 1 took 325534ms Step 2 took 79231ms ********** Factor found in step 2: 206546689460596260857458903559326448442608668133 Found probable prime factor of 48 digits: 206546689460596260857458903559326448442608668133 Composite cofactor 52375933700752912969227317330299592379234785980976109092815590095692023517872597867702571408275403773501881219952621448717411637 has 128 digits GNFS on the remaining c128 nfs: commencing nfs on c128: 52375933700752912969227317330299592379234785980976109092815590095692023517872597867702571408275403773501881219952621448717411637 nfs: commencing poly selection with 6 threads nfs: setting deadline of 7341 seconds nfs: completed 439 ranges of size 250 in 7446.7570 seconds nfs: best poly = # norm 2.777646e-12 alpha -6.533576 e 9.748e-11 rroots 3 ... ... nfs: commencing msieve filtering nfs: commencing msieve linear algebra nfs: commencing msieve sqrt prp61 = 1677455438901900699356520969403875450229417059044689744927499 prp68 = 31223442653737111199196928970500905542742511529722030018337205020863 NFS elapsed time = 93355.3856 seconds. Poly used: n: 52375933700752912969227317330299592379234785980976109092815590095692023517872597867702571408275403773501881219952621448717411637 skew: 153677.23 c0: 2397791366352707609585888563125 c1: 18218334099828622563128519 c2: -5801709407146411733 c3: -5188617338181103 c4: -38266648872 c5: 106704 Y0: -3452949445770723770241748 Y1: 479123742469 rlim: 8200000 alim: 8200000 lpbr: 28 lpba: 28 mfbr: 56 mfba: 56 rlambda: 2.5 alambda: 2.5```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 17, 2019 00:06:06 UTC 2019 年 1 月 17 日 (木) 9 時 6 分 6 秒 (日本時間)
5043e63700 / 7257300Dmitry DomanovFebruary 19, 2019 10:36:15 UTC 2019 年 2 月 19 日 (火) 19 時 36 分 15 秒 (日本時間)
600Dmitry DomanovFebruary 27, 2019 15:49:23 UTC 2019 年 2 月 28 日 (木) 0 時 49 分 23 秒 (日本時間)
800Dmitry DomanovApril 4, 2019 14:42:15 UTC 2019 年 4 月 4 日 (木) 23 時 42 分 15 秒 (日本時間)
2000Dmitry DomanovApril 24, 2019 05:21:12 UTC 2019 年 4 月 24 日 (水) 14 時 21 分 12 秒 (日本時間)

## 7×10295+839

### c275

composite cofactor 合成数の残り `90544287915715036620859925164099653009272269627369141369829592998970373023141814028095396812398472265689525458180738566458596687194243910396386350115120740549089660835041108926674000369856766519116701657577553564666180653519372608152909676201441918987845770046907722431668817<275>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovJanuary 19, 2019 01:31:12 UTC 2019 年 1 月 19 日 (土) 10 時 31 分 12 秒 (日本時間)
5043e61550 / 7010550Dmitry DomanovJanuary 23, 2019 23:36:55 UTC 2019 年 1 月 24 日 (木) 8 時 36 分 55 秒 (日本時間)
1000Dmitry DomanovApril 4, 2019 22:00:46 UTC 2019 年 4 月 5 日 (金) 7 時 0 分 46 秒 (日本時間)

## 7×10297+839

### c243

composite cofactor 合成数の残り `133554356460719480397552976805580546838717025018016582995485285400896631158865162923608086448258296047226681931629789286379569889400560183854571420534300702251281763634237515276186844468772465188094599570538809448565496465975940987409636216551<243>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovNovember 13, 2018 21:31:53 UTC 2018 年 11 月 14 日 (水) 6 時 31 分 53 秒 (日本時間)
5043e61700 / 7257300Dmitry DomanovFebruary 19, 2019 10:36:56 UTC 2019 年 2 月 19 日 (火) 19 時 36 分 56 秒 (日本時間)
600Dmitry DomanovFebruary 27, 2019 12:43:55 UTC 2019 年 2 月 27 日 (水) 21 時 43 分 55 秒 (日本時間)
800Dmitry DomanovApril 4, 2019 11:11:17 UTC 2019 年 4 月 4 日 (木) 20 時 11 分 17 秒 (日本時間)

## 7×10298+839

### c255

composite cofactor 合成数の残り `186774073818826346348337375213326006131497725198403067983618626654425809637460025005298513340817700470922547417600492073491617400920232095280889712695709774219068465453967318377129986321900397288959254083901872132449729837317135681287425337137387399143319<255>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e6900Dmitry DomanovJanuary 21, 2019 22:51:30 UTC 2019 年 1 月 22 日 (火) 7 時 51 分 30 秒 (日本時間)
5043e61664 / 7257864Dmitry DomanovFebruary 19, 2019 10:35:33 UTC 2019 年 2 月 19 日 (火) 19 時 35 分 33 秒 (日本時間)
800Dmitry DomanovApril 4, 2019 09:50:36 UTC 2019 年 4 月 4 日 (木) 18 時 50 分 36 秒 (日本時間)

## 7×10300+839

### c286

composite cofactor 合成数の残り `2819702031282015897403538378177829945944434904759090804982014297141782724241133440475655505567165594519924077837786006881318468010978225262308427434149021969612413765050050937248945325132466237246650141461556124945847714370075554988635102881676045820387043201389021832810448328126046629<286>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerOctober 22, 2018 00:00:00 UTC 2018 年 10 月 22 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovOctober 29, 2018 09:14:03 UTC 2018 年 10 月 29 日 (月) 18 時 14 分 3 秒 (日本時間)
5043e61560 / 7010560Dmitry DomanovNovember 4, 2018 17:16:09 UTC 2018 年 11 月 5 日 (月) 2 時 16 分 9 秒 (日本時間)
1000Dmitry DomanovApril 4, 2019 08:34:36 UTC 2019 年 4 月 4 日 (木) 17 時 34 分 36 秒 (日本時間)