## 7×10122-5479

### c103

name 名前 KTakahashi January 8, 2015 14:08:01 UTC 2015 年 1 月 8 日 (木) 23 時 8 分 1 秒 (日本時間) `1033445318508295249099465325328055929583165423496868258545536267923109850934529044255204761626210522717<103>` ```282436726332039778435788261403723193<36> 3659033058233902354307334877772484040215745040943422808744906876869<67>``` ```Input number is 1033445318508295249099465325328055929583165423496868258545536267923109850934529044255204761626210522717 (103 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3832110053 Step 1 took 2667ms Step 2 took 1779ms ********** Factor found in step 2: 282436726332039778435788261403723193 Found probable prime factor of 36 digits: 282436726332039778435788261403723193 Probable prime cofactor 3659033058233902354307334877772484040215745040943422808744906876869 has 67 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)

## 7×10123-5479

### c122

name 名前 KTakahashi January 8, 2015 14:13:47 UTC 2015 年 1 月 8 日 (木) 23 時 13 分 47 秒 (日本時間) `86419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086413<122>` ```49558042356249867524917211647<29> 1743808854780583937962261085864843560974598919905358043789211982350601721879889086454606972979<94>``` ```Input number is 86419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086413 (122 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=297764412 Step 1 took 3495ms Step 2 took 2215ms ********** Factor found in step 2: 49558042356249867524917211647 Found probable prime factor of 29 digits: 49558042356249867524917211647 Probable prime cofactor 1743808854780583937962261085864843560974598919905358043789211982350601721879889086454606972979 has 94 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)

## 7×10125-5479

### c109

name 名前 KTakahashi January 8, 2015 14:20:36 UTC 2015 年 1 月 8 日 (木) 23 時 20 分 36 秒 (日本時間) `2429361446342938837316849569052020959775810924177848690765294301922268552166825909330504432339357751357827277<109>` ```20552501649482802618503371108717<32> 118202712632020295727645834533349285629352719910841675258500402360599211923681<78>``` ```Input number is 2429361446342938837316849569052020959775810924177848690765294301922268552166825909330504432339357751357827277 (109 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=803152088 Step 1 took 2652ms Step 2 took 1732ms ********** Factor found in step 2: 20552501649482802618503371108717 Found probable prime factor of 32 digits: 20552501649482802618503371108717 Probable prime cofactor 118202712632020295727645834533349285629352719910841675258500402360599211923681 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)

## 7×10128-5479

### c114

name 名前 KTakahashi January 8, 2015 14:41:58 UTC 2015 年 1 月 8 日 (木) 23 時 41 分 58 秒 (日本時間) `351411921683859113225790019771063257595378982541706648381251434366664721289753822175373114844188593540574379158021<114>` ```194518264006607233766335678689606650011851660987809<51> 1806575456955150735178073763828720600998250870187693612166928869<64>``` ```Number: 77717_128 N=351411921683859113225790019771063257595378982541706648381251434366664721289753822175373114844188593540574379158021 ( 114 digits) SNFS difficulty: 129 digits. Divisors found: r1=194518264006607233766335678689606650011851660987809 (pp51) r2=1806575456955150735178073763828720600998250870187693612166928869 (pp64) Version: Msieve v. 1.51 (SVN Official Release) Total time: 4.41 hours. Scaled time: 7.40 units (timescale=1.679). Factorization parameters were as follows: n: 351411921683859113225790019771063257595378982541706648381251434366664721289753822175373114844188593540574379158021 m: 20000000000000000000000000 c5: 875 c0: -2188 skew: 1.20 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 : 132191 x 132420 Total sieving time: 4.32 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.06 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,129.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000 total time: 4.41 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 14:41:29 UTC 2015 年 1 月 8 日 (木) 23 時 41 分 29 秒 (日本時間)

## 7×10131-5479

### c107

name 名前 KTakahashi January 8, 2015 15:02:30 UTC 2015 年 1 月 9 日 (金) 0 時 2 分 30 秒 (日本時間) `24058245667238115780095969535393318399437629175693389864315550715005824748541102432620403382122906748100357<107>` ```1009078371856695709456520151248706698572323775337099<52> 23841800932638310622741777316394111836131362104521184943<56>``` ```Number: 77717_131 N=24058245667238115780095969535393318399437629175693389864315550715005824748541102432620403382122906748100357 ( 107 digits) SNFS difficulty: 131 digits. Divisors found: r1=1009078371856695709456520151248706698572323775337099 (pp52) r2=23841800932638310622741777316394111836131362104521184943 (pp56) Version: Msieve v. 1.51 (SVN Official Release) Total time: 4.86 hours. Scaled time: 8.58 units (timescale=1.766). Factorization parameters were as follows: n: 24058245667238115780095969535393318399437629175693389864315550715005824748541102432620403382122906748100357 m: 100000000000000000000000000 c5: 70 c0: -547 skew: 1.51 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, 1350001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 138352 x 138600 Total sieving time: 4.78 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.06 hours. Time per square root: 0.01 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: 4.86 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 15:01:59 UTC 2015 年 1 月 9 日 (金) 0 時 1 分 59 秒 (日本時間)

## 7×10133-5479

### c128

name 名前 KTakahashi January 8, 2015 15:04:34 UTC 2015 年 1 月 9 日 (金) 0 時 4 分 34 秒 (日本時間) `52306218536875510452650542901186828098601705332170640818427929129557272693986951840170129711949654517426563937253460243164137661<128>` ```5076556412190851151824682662849953190004731620006694560589<58> 10303484151435266003804974429137014943487985426577966964704125034259249<71>``` ```Number: 77717_133 N=52306218536875510452650542901186828098601705332170640818427929129557272693986951840170129711949654517426563937253460243164137661 ( 128 digits) SNFS difficulty: 134 digits. Divisors found: r1=5076556412190851151824682662849953190004731620006694560589 (pp58) r2=10303484151435266003804974429137014943487985426577966964704125034259249 (pp71) Version: Msieve v. 1.51 (SVN Official Release) Total time: 7.22 hours. Scaled time: 14.93 units (timescale=2.068). Factorization parameters were as follows: n: 52306218536875510452650542901186828098601705332170640818427929129557272693986951840170129711949654517426563937253460243164137661 m: 200000000000000000000000000 c5: 875 c0: -2188 skew: 1.20 type: snfs Factor base limits: 1000000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 43/43 Sieved rational special-q in [500000, 1925001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 162175 x 162401 Total sieving time: 7.09 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.09 hours. Time per square root: 0.03 hours. Prototype def-par.txt line would be: snfs,134.000,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000 total time: 7.22 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 15:04:05 UTC 2015 年 1 月 9 日 (金) 0 時 4 分 5 秒 (日本時間)

## 7×10135-5479

### c119

name 名前 KTakahashi January 8, 2015 15:05:15 UTC 2015 年 1 月 9 日 (金) 0 時 5 分 15 秒 (日本時間) `33207094149832221276642852405722665619538169607915831052526696250206855902186620239495391087534198476469132036703037651<119>` ```1620919165680909807054619055052528101<37> 20486582460688412161581766983663910750056824162973170259255272706200914735182654551<83>``` ```Input number is 33207094149832221276642852405722665619538169607915831052526696250206855902186620239495391087534198476469132036703037651 (119 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=439045586 Step 1 took 3556ms Step 2 took 2216ms ********** Factor found in step 2: 1620919165680909807054619055052528101 Found probable prime factor of 37 digits: 1620919165680909807054619055052528101 Probable prime cofactor 20486582460688412161581766983663910750056824162973170259255272706200914735182654551 has 83 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)

## 7×10136-5479

### c125

name 名前 KTakahashi January 8, 2015 15:06:01 UTC 2015 年 1 月 9 日 (金) 0 時 6 分 1 秒 (日本時間) `13990168818055962863889037399712251504478986745968362471403467794099164934331234223430021859553536113833559844891261145516529<125>` ```26670585089493513264092609514708148621883<41> 524554252226254502274417672377271295526319209791945963153219361317668871140817831363<84>``` ```Number: 77717_136 N=13990168818055962863889037399712251504478986745968362471403467794099164934331234223430021859553536113833559844891261145516529 ( 125 digits) SNFS difficulty: 136 digits. Divisors found: r1=26670585089493513264092609514708148621883 (pp41) r2=524554252226254502274417672377271295526319209791945963153219361317668871140817831363 (pp84) Version: Msieve v. 1.51 (SVN Official Release) Total time: 8.58 hours. Scaled time: 14.87 units (timescale=1.733). Factorization parameters were as follows: n: 13990168818055962863889037399712251504478986745968362471403467794099164934331234223430021859553536113833559844891261145516529 m: 1000000000000000000000000000 c5: 70 c0: -547 skew: 1.51 type: snfs Factor base limits: 1000000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 43/43 Sieved rational special-q in [500000, 2225001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 174203 x 174428 Total sieving time: 8.46 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.10 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,136.000,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000 total time: 8.58 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 15:05:33 UTC 2015 年 1 月 9 日 (金) 0 時 5 分 33 秒 (日本時間)

## 7×10139-5479

### c103

name 名前 KTakahashi January 8, 2015 15:06:41 UTC 2015 年 1 月 9 日 (金) 0 時 6 分 41 秒 (日本時間) `3430437596022263719085519147919427140745584109844360542028639144155221823823041563356748065597161346123<103>` ```640216688494001687375665733835002365631<39> 5358244571992915403588350554356932639353999773317275355397161333<64>``` ```Number: 77717_139 N=3430437596022263719085519147919427140745584109844360542028639144155221823823041563356748065597161346123 ( 103 digits) SNFS difficulty: 140 digits. Divisors found: r1=640216688494001687375665733835002365631 (pp39) r2=5358244571992915403588350554356932639353999773317275355397161333 (pp64) Version: Msieve v. 1.51 (SVN Official Release) Total time: 7.15 hours. Scaled time: 12.46 units (timescale=1.742). Factorization parameters were as follows: n: 3430437596022263719085519147919427140745584109844360542028639144155221823823041563356748065597161346123 m: 5000000000000000000000000000 c5: 112 c0: -2735 skew: 1.89 type: snfs Factor base limits: 1300000/1300000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 45/45 Sieved rational special-q in [650000, 1750001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 216376 x 216603 Total sieving time: 6.97 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.15 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,140.000,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000 total time: 7.15 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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 15:06:14 UTC 2015 年 1 月 9 日 (金) 0 時 6 分 14 秒 (日本時間)

## 7×10140-5479

### c130

name 名前 KTakahashi January 8, 2015 15:07:25 UTC 2015 年 1 月 9 日 (金) 0 時 7 分 25 秒 (日本時間) `1136947913588198329717048862412427577663857226569863868566135250459521883967047037838821904149459196053319843696077339636324633659<130>` ```35649310437199162600146499760069676097<38> 31892563969535344977633280254779068533216303069337329960255750907812271715342407000663124347<92>``` ```Number: 77717_140 N=1136947913588198329717048862412427577663857226569863868566135250459521883967047037838821904149459196053319843696077339636324633659 ( 130 digits) SNFS difficulty: 140 digits. Divisors found: r1=35649310437199162600146499760069676097 (pp38) r2=31892563969535344977633280254779068533216303069337329960255750907812271715342407000663124347 (pp92) Version: Msieve v. 1.51 (SVN Official Release) Total time: 5.99 hours. Scaled time: 10.55 units (timescale=1.761). Factorization parameters were as follows: n: 1136947913588198329717048862412427577663857226569863868566135250459521883967047037838821904149459196053319843696077339636324633659 m: 10000000000000000000000000000 c5: 7 c0: -547 skew: 2.39 type: snfs Factor base limits: 1300000/1300000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 45/45 Sieved rational special-q in [650000, 1550001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 210095 x 210320 Total sieving time: 5.80 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.14 hours. Time per square root: 0.03 hours. Prototype def-par.txt line would be: snfs,140.000,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000 total time: 5.99 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 15:06:58 UTC 2015 年 1 月 9 日 (金) 0 時 6 分 58 秒 (日本時間)

## 7×10142-5479

### c138

name 名前 KTakahashi January 8, 2015 15:08:18 UTC 2015 年 1 月 9 日 (金) 0 時 8 分 18 秒 (日本時間) `145768648495563427062574315980616934568618508870022260955034536757647127420540468500436264740854579113851561702827703539887508251546709481<138>` ```71069919491045050628005692950709333848629772066419657744200705007<65> 2051059710485961123523059552314428525609186433286123514693013304408527783<73>``` ```Number: 77717_142 N=145768648495563427062574315980616934568618508870022260955034536757647127420540468500436264740854579113851561702827703539887508251546709481 ( 138 digits) SNFS difficulty: 142 digits. Divisors found: r1=71069919491045050628005692950709333848629772066419657744200705007 (pp65) r2=2051059710485961123523059552314428525609186433286123514693013304408527783 (pp73) Version: Msieve v. 1.51 (SVN Official Release) Total time: 9.44 hours. Scaled time: 19.46 units (timescale=2.061). Factorization parameters were as follows: n: 145768648495563427062574315980616934568618508870022260955034536757647127420540468500436264740854579113851561702827703539887508251546709481 m: 10000000000000000000000000000 c5: 700 c0: -547 skew: 0.95 type: snfs Factor base limits: 1300000/1300000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 45/45 Sieved rational special-q in [650000, 2250001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 242906 x 243132 Total sieving time: 9.24 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.17 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,142.000,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000 total time: 9.44 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 15:07:37 UTC 2015 年 1 月 9 日 (金) 0 時 7 分 37 秒 (日本時間)

## 7×10143-5479

### c110

name 名前 KTakahashi January 8, 2015 15:09:00 UTC 2015 年 1 月 9 日 (金) 0 時 9 分 0 秒 (日本時間) `29292857310499908363669932462915660289907746155526164296886602815302583161792305265542771333100303540435934793<110>` ```60023628462062629031854194560609971127<38> 488022101646423855806792388903737904570164499259722085364974836366312959<72>``` ```Number: 77717_143 N=29292857310499908363669932462915660289907746155526164296886602815302583161792305265542771333100303540435934793 ( 110 digits) SNFS difficulty: 144 digits. Divisors found: r1=60023628462062629031854194560609971127 (pp38) r2=488022101646423855806792388903737904570164499259722085364974836366312959 (pp72) Version: Msieve v. 1.51 (SVN Official Release) Total time: 14.88 hours. Scaled time: 25.23 units (timescale=1.695). Factorization parameters were as follows: n: 29292857310499908363669932462915660289907746155526164296886602815302583161792305265542771333100303540435934793 m: 20000000000000000000000000000 c5: 875 c0: -2188 skew: 1.20 type: snfs Factor base limits: 1300000/1300000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 45/45 Sieved rational special-q in [650000, 3250001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 269885 x 270118 Total sieving time: 14.59 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.24 hours. Time per square root: 0.03 hours. Prototype def-par.txt line would be: snfs,144.000,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000 total time: 14.88 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 15:08:31 UTC 2015 年 1 月 9 日 (金) 0 時 8 分 31 秒 (日本時間)

## 7×10145-5479

### c136

name 名前 KTakahashi January 8, 2015 15:09:40 UTC 2015 年 1 月 9 日 (金) 0 時 9 分 40 秒 (日本時間) `2151793362113106608624228175317729737117678781427415717175757166549075908742534625862081631789168259236676730995540262519130161150220123<136>` ```3975729938027259536885044528689408303239<40> 541232275746782091273960212741362842655109260088048875263419808036698729882980892000047865244557<96>``` ```Number: 77717_145 N=2151793362113106608624228175317729737117678781427415717175757166549075908742534625862081631789168259236676730995540262519130161150220123 ( 136 digits) SNFS difficulty: 145 digits. Divisors found: r1=3975729938027259536885044528689408303239 (pp40) r2=541232275746782091273960212741362842655109260088048875263419808036698729882980892000047865244557 (pp96) Version: Msieve v. 1.51 (SVN Official Release) Total time: 9.80 hours. Scaled time: 17.12 units (timescale=1.747). Factorization parameters were as follows: n: 2151793362113106608624228175317729737117678781427415717175757166549075908742534625862081631789168259236676730995540262519130161150220123 m: 100000000000000000000000000000 c5: 7 c0: -547 skew: 2.39 type: snfs Factor base limits: 1300000/1300000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 45/45 Sieved rational special-q in [650000, 2250001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 232996 x 233221 Total sieving time: 9.59 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.17 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,145.000,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000 total time: 9.80 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 15:09:12 UTC 2015 年 1 月 9 日 (金) 0 時 9 分 12 秒 (日本時間)

## 7×10147-5479

### c147

name 名前 Cyp January 13, 2015 08:36:29 UTC 2015 年 1 月 13 日 (火) 17 時 36 分 29 秒 (日本時間) `259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259239<147>` ```1019102311065225504616563434314664295012129401143483847<55> 254399638234816950072760789475389267544818393760229470631937125757376309077141663295106512737<93>``` ```01/13/15 08:12:04 v1.34.3, 01/13/15 08:12:04 v1.34.3, **************************** 01/13/15 08:12:04 v1.34.3, Starting factorization of 259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259239 01/13/15 08:12:04 v1.34.3, using pretesting plan: none 01/13/15 08:12:04 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 01/13/15 08:12:04 v1.34.3, **************************** 01/13/15 08:12:04 v1.34.3, nfs: commencing nfs on c147: 259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259239 01/13/15 08:12:04 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 01/13/15 08:12:04 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/13/15 08:15:52 v1.34.3, nfs: commencing lattice sieving with 8 threads [17 lines snipped] 01/13/15 09:24:52 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/13/15 09:28:41 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/13/15 09:32:34 v1.34.3, nfs: commencing msieve filtering 01/13/15 09:33:23 v1.34.3, nfs: commencing msieve linear algebra 01/13/15 09:35:38 v1.34.3, nfs: commencing msieve sqrt 01/13/15 09:36:23 v1.34.3, prp55 = 1019102311065225504616563434314664295012129401143483847 01/13/15 09:36:23 v1.34.3, prp93 = 254399638234816950072760789475389267544818393760229470631937125757376309077141663295106512737 01/13/15 09:36:23 v1.34.3, NFS elapsed time = 5059.4265 seconds. 01/13/15 09:36:23 v1.34.3, 01/13/15 09:36:23 v1.34.3, 01/13/15 09:36:23 v1.34.3, Total factoring time = 5059.4272 seconds -- Tue Jan 13 09:32:34 2015 Tue Jan 13 09:32:34 2015 commencing relation filtering Tue Jan 13 09:32:34 2015 estimated available RAM is 15987.3 MB Tue Jan 13 09:32:34 2015 commencing duplicate removal, pass 1 Tue Jan 13 09:32:46 2015 found 580562 hash collisions in 4591874 relations Tue Jan 13 09:32:51 2015 added 185299 free relations Tue Jan 13 09:32:51 2015 commencing duplicate removal, pass 2 Tue Jan 13 09:32:54 2015 found 387889 duplicates and 4389284 unique relations Tue Jan 13 09:32:54 2015 memory use: 20.6 MB Tue Jan 13 09:32:54 2015 reading ideals above 100000 Tue Jan 13 09:32:54 2015 commencing singleton removal, initial pass Tue Jan 13 09:33:12 2015 memory use: 94.1 MB Tue Jan 13 09:33:12 2015 reading all ideals from disk Tue Jan 13 09:33:12 2015 memory use: 145.9 MB Tue Jan 13 09:33:12 2015 keeping 4801570 ideals with weight <= 200, target excess is 24227 Tue Jan 13 09:33:12 2015 commencing in-memory singleton removal Tue Jan 13 09:33:12 2015 begin with 4389284 relations and 4801570 unique ideals Tue Jan 13 09:33:13 2015 reduce to 1857212 relations and 1642379 ideals in 11 passes Tue Jan 13 09:33:13 2015 max relations containing the same ideal: 116 Tue Jan 13 09:33:14 2015 removing 409188 relations and 315823 ideals in 93365 cliques Tue Jan 13 09:33:14 2015 commencing in-memory singleton removal Tue Jan 13 09:33:14 2015 begin with 1448024 relations and 1642379 unique ideals Tue Jan 13 09:33:14 2015 reduce to 1378547 relations and 1252890 ideals in 10 passes Tue Jan 13 09:33:14 2015 max relations containing the same ideal: 92 Tue Jan 13 09:33:14 2015 removing 333564 relations and 240199 ideals in 93365 cliques Tue Jan 13 09:33:14 2015 commencing in-memory singleton removal Tue Jan 13 09:33:14 2015 begin with 1044983 relations and 1252890 unique ideals Tue Jan 13 09:33:15 2015 reduce to 985963 relations and 949687 ideals in 10 passes Tue Jan 13 09:33:15 2015 max relations containing the same ideal: 72 Tue Jan 13 09:33:15 2015 removing 49460 relations and 41288 ideals in 8172 cliques Tue Jan 13 09:33:15 2015 commencing in-memory singleton removal Tue Jan 13 09:33:15 2015 begin with 936503 relations and 949687 unique ideals Tue Jan 13 09:33:15 2015 reduce to 934916 relations and 906802 ideals in 6 passes Tue Jan 13 09:33:15 2015 max relations containing the same ideal: 68 Tue Jan 13 09:33:15 2015 relations with 0 large ideals: 567 Tue Jan 13 09:33:15 2015 relations with 1 large ideals: 147 Tue Jan 13 09:33:15 2015 relations with 2 large ideals: 2006 Tue Jan 13 09:33:15 2015 relations with 3 large ideals: 16861 Tue Jan 13 09:33:15 2015 relations with 4 large ideals: 72693 Tue Jan 13 09:33:15 2015 relations with 5 large ideals: 180362 Tue Jan 13 09:33:15 2015 relations with 6 large ideals: 273611 Tue Jan 13 09:33:15 2015 relations with 7+ large ideals: 388669 Tue Jan 13 09:33:15 2015 commencing 2-way merge Tue Jan 13 09:33:15 2015 reduce to 575357 relation sets and 547243 unique ideals Tue Jan 13 09:33:15 2015 commencing full merge Tue Jan 13 09:33:20 2015 memory use: 71.8 MB Tue Jan 13 09:33:21 2015 found 293040 cycles, need 289443 Tue Jan 13 09:33:21 2015 weight of 289443 cycles is about 20556450 (71.02/cycle) Tue Jan 13 09:33:21 2015 distribution of cycle lengths: Tue Jan 13 09:33:21 2015 1 relations: 27554 Tue Jan 13 09:33:21 2015 2 relations: 28871 Tue Jan 13 09:33:21 2015 3 relations: 30284 Tue Jan 13 09:33:21 2015 4 relations: 29589 Tue Jan 13 09:33:21 2015 5 relations: 28209 Tue Jan 13 09:33:21 2015 6 relations: 26268 Tue Jan 13 09:33:21 2015 7 relations: 23617 Tue Jan 13 09:33:21 2015 8 relations: 20558 Tue Jan 13 09:33:21 2015 9 relations: 17276 Tue Jan 13 09:33:21 2015 10+ relations: 57217 Tue Jan 13 09:33:21 2015 heaviest cycle: 21 relations Tue Jan 13 09:33:21 2015 commencing cycle optimization Tue Jan 13 09:33:21 2015 start with 1784794 relations Tue Jan 13 09:33:22 2015 pruned 50180 relations Tue Jan 13 09:33:22 2015 memory use: 56.7 MB Tue Jan 13 09:33:22 2015 distribution of cycle lengths: Tue Jan 13 09:33:22 2015 1 relations: 27554 Tue Jan 13 09:33:22 2015 2 relations: 29495 Tue Jan 13 09:33:22 2015 3 relations: 31159 Tue Jan 13 09:33:22 2015 4 relations: 30562 Tue Jan 13 09:33:22 2015 5 relations: 29067 Tue Jan 13 09:33:22 2015 6 relations: 27054 Tue Jan 13 09:33:22 2015 7 relations: 24295 Tue Jan 13 09:33:22 2015 8 relations: 20693 Tue Jan 13 09:33:22 2015 9 relations: 17465 Tue Jan 13 09:33:22 2015 10+ relations: 52099 Tue Jan 13 09:33:22 2015 heaviest cycle: 21 relations Tue Jan 13 09:33:23 2015 RelProcTime: 49 Tue Jan 13 09:33:23 2015 Tue Jan 13 09:33:23 2015 commencing linear algebra Tue Jan 13 09:33:23 2015 read 289443 cycles Tue Jan 13 09:33:23 2015 cycles contain 918106 unique relations Tue Jan 13 09:33:27 2015 read 918106 relations Tue Jan 13 09:33:28 2015 using 20 quadratic characters above 67108440 Tue Jan 13 09:33:31 2015 building initial matrix Tue Jan 13 09:33:35 2015 memory use: 110.0 MB Tue Jan 13 09:33:35 2015 read 289443 cycles Tue Jan 13 09:33:35 2015 matrix is 289266 x 289443 (87.0 MB) with weight 25804365 (89.15/col) Tue Jan 13 09:33:35 2015 sparse part has weight 19614383 (67.77/col) Tue Jan 13 09:33:36 2015 filtering completed in 2 passes Tue Jan 13 09:33:36 2015 matrix is 289216 x 289393 (87.0 MB) with weight 25802924 (89.16/col) Tue Jan 13 09:33:36 2015 sparse part has weight 19614010 (67.78/col) Tue Jan 13 09:33:37 2015 matrix starts at (0, 0) Tue Jan 13 09:33:37 2015 matrix is 289216 x 289393 (87.0 MB) with weight 25802924 (89.16/col) Tue Jan 13 09:33:37 2015 sparse part has weight 19614010 (67.78/col) Tue Jan 13 09:33:37 2015 saving the first 48 matrix rows for later Tue Jan 13 09:33:37 2015 matrix includes 64 packed rows Tue Jan 13 09:33:37 2015 matrix is 289168 x 289393 (82.0 MB) with weight 20610288 (71.22/col) Tue Jan 13 09:33:37 2015 sparse part has weight 18600383 (64.27/col) Tue Jan 13 09:33:37 2015 using block size 65536 for processor cache size 8192 kB Tue Jan 13 09:33:37 2015 commencing Lanczos iteration (8 threads) Tue Jan 13 09:33:37 2015 memory use: 78.4 MB Tue Jan 13 09:33:42 2015 linear algebra at 4.2%, ETA 0h 1m Tue Jan 13 09:35:38 2015 lanczos halted after 4575 iterations (dim = 289166) Tue Jan 13 09:35:38 2015 recovered 37 nontrivial dependencies Tue Jan 13 09:35:38 2015 BLanczosTime: 135 Tue Jan 13 09:35:38 2015 Tue Jan 13 09:35:38 2015 commencing square root phase Tue Jan 13 09:35:38 2015 reading relations for dependency 1 Tue Jan 13 09:35:38 2015 read 144670 cycles Tue Jan 13 09:35:38 2015 cycles contain 459900 unique relations Tue Jan 13 09:35:42 2015 read 459900 relations Tue Jan 13 09:35:43 2015 multiplying 459900 relations Tue Jan 13 09:35:50 2015 multiply complete, coefficients have about 13.95 million bits Tue Jan 13 09:35:50 2015 initial square root is modulo 103599121 Tue Jan 13 09:36:00 2015 GCD is 1, no factor found Tue Jan 13 09:36:00 2015 reading relations for dependency 2 Tue Jan 13 09:36:00 2015 read 144379 cycles Tue Jan 13 09:36:00 2015 cycles contain 459112 unique relations Tue Jan 13 09:36:04 2015 read 459112 relations Tue Jan 13 09:36:05 2015 multiplying 459112 relations Tue Jan 13 09:36:13 2015 multiply complete, coefficients have about 13.93 million bits Tue Jan 13 09:36:13 2015 initial square root is modulo 100327411 Tue Jan 13 09:36:23 2015 sqrtTime: 45 -- n: 259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259239 m: 100000000000000000000000000000 deg: 5 c5: 700 c0: -547 skew: 0.95 # Murphy_E = 1.258e-09 type: snfs lss: 1 rlim: 2000000 alim: 2000000 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 15:09:54 UTC 2015 年 1 月 9 日 (金) 0 時 9 分 54 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:04:15 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 15 秒 (日本時間)

## 7×10152-5479

### c106

name 名前 Cyp January 9, 2015 14:12:34 UTC 2015 年 1 月 9 日 (金) 23 時 12 分 34 秒 (日本時間) `3548427025747039323814584149145731523883070196115391477686731077002963850852215744986460182722426178509393<106>` ```10847925340503045984268048487266237689571699117494563<53> 327106512477388575600660202325640297025481851020988411<54>``` ```01/09/15 14:09:00 v1.34.3, 01/09/15 14:09:00 v1.34.3, **************************** 01/09/15 14:09:00 v1.34.3, Starting factorization of 3548427025747039323814584149145731523883070196115391477686731077002963850852215744986460182722426178509393 01/09/15 14:09:00 v1.34.3, using pretesting plan: none 01/09/15 14:09:00 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 01/09/15 14:09:00 v1.34.3, **************************** 01/09/15 14:09:00 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C106 01/09/15 14:09:00 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C106 01/09/15 14:09:00 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C106 01/09/15 14:09:00 v1.34.3, final ECM pretested depth: 0.00 01/09/15 14:09:00 v1.34.3, scheduler: switching to sieve method 01/09/15 14:09:00 v1.34.3, nfs: commencing nfs on c106: 3548427025747039323814584149145731523883070196115391477686731077002963850852215744986460182722426178509393 01/09/15 14:09:00 v1.34.3, nfs: commencing poly selection with 8 threads 01/09/15 14:09:00 v1.34.3, nfs: setting deadline of 264 seconds 01/09/15 14:15:05 v1.34.3, nfs: completed 46 ranges of size 250 in 364.5715 seconds 01/09/15 14:15:05 v1.34.3, nfs: best poly = # norm 1.623486e-14 alpha -5.047736 e 4.832e-09 rroots 4 01/09/15 14:15:05 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 14:16:25 v1.34.3, nfs: commencing lattice sieving with 8 threads [23 lines snipped] 01/09/15 14:51:29 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 14:53:04 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 14:54:33 v1.34.3, nfs: commencing msieve filtering 01/09/15 14:55:14 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 14:56:48 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 14:58:27 v1.34.3, nfs: commencing msieve filtering 01/09/15 14:59:11 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 15:00:35 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 15:02:08 v1.34.3, nfs: commencing msieve filtering 01/09/15 15:02:55 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 15:04:32 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 15:06:08 v1.34.3, nfs: commencing msieve filtering 01/09/15 15:07:11 v1.34.3, nfs: commencing msieve linear algebra 01/09/15 15:11:16 v1.34.3, nfs: commencing msieve sqrt 01/09/15 15:12:32 v1.34.3, prp54 = 327106512477388575600660202325640297025481851020988411 01/09/15 15:12:32 v1.34.3, prp53 = 10847925340503045984268048487266237689571699117494563 01/09/15 15:12:33 v1.34.3, NFS elapsed time = 3812.3953 seconds. 01/09/15 15:12:33 v1.34.3, 01/09/15 15:12:33 v1.34.3, 01/09/15 15:12:33 v1.34.3, Total factoring time = 3812.4181 seconds -- Fri Jan 9 14:54:33 2015 Fri Jan 9 14:54:33 2015 commencing relation filtering Fri Jan 9 14:54:33 2015 estimated available RAM is 15987.3 MB Fri Jan 9 14:54:33 2015 commencing duplicate removal, pass 1 Fri Jan 9 14:54:47 2015 found 494085 hash collisions in 4606771 relations Fri Jan 9 14:54:50 2015 added 159335 free relations Fri Jan 9 14:54:50 2015 commencing duplicate removal, pass 2 Fri Jan 9 14:54:53 2015 found 271019 duplicates and 4495087 unique relations Fri Jan 9 14:54:53 2015 memory use: 20.6 MB Fri Jan 9 14:54:53 2015 reading ideals above 100000 Fri Jan 9 14:54:53 2015 commencing singleton removal, initial pass Fri Jan 9 14:55:12 2015 memory use: 172.2 MB Fri Jan 9 14:55:12 2015 reading all ideals from disk Fri Jan 9 14:55:12 2015 memory use: 146.2 MB Fri Jan 9 14:55:12 2015 keeping 5539953 ideals with weight <= 200, target excess is 21549 Fri Jan 9 14:55:12 2015 commencing in-memory singleton removal Fri Jan 9 14:55:12 2015 begin with 4495087 relations and 5539953 unique ideals Fri Jan 9 14:55:14 2015 reduce to 404 relations and 0 ideals in 84 passes Fri Jan 9 14:55:14 2015 max relations containing the same ideal: 0 Fri Jan 9 14:58:27 2015 Fri Jan 9 14:58:27 2015 commencing relation filtering Fri Jan 9 14:58:27 2015 estimated available RAM is 15987.3 MB Fri Jan 9 14:58:27 2015 commencing duplicate removal, pass 1 Fri Jan 9 14:58:42 2015 found 581561 hash collisions in 5126504 relations Fri Jan 9 14:58:45 2015 added 1067 free relations Fri Jan 9 14:58:45 2015 commencing duplicate removal, pass 2 Fri Jan 9 14:58:49 2015 found 309365 duplicates and 4818206 unique relations Fri Jan 9 14:58:49 2015 memory use: 20.6 MB Fri Jan 9 14:58:49 2015 reading ideals above 100000 Fri Jan 9 14:58:49 2015 commencing singleton removal, initial pass Fri Jan 9 14:59:08 2015 memory use: 172.2 MB Fri Jan 9 14:59:08 2015 reading all ideals from disk Fri Jan 9 14:59:08 2015 memory use: 156.8 MB Fri Jan 9 14:59:09 2015 keeping 5691842 ideals with weight <= 200, target excess is 22898 Fri Jan 9 14:59:09 2015 commencing in-memory singleton removal Fri Jan 9 14:59:09 2015 begin with 4818206 relations and 5691842 unique ideals Fri Jan 9 14:59:11 2015 reduce to 1230819 relations and 1323504 ideals in 29 passes Fri Jan 9 14:59:11 2015 max relations containing the same ideal: 80 Fri Jan 9 15:02:08 2015 Fri Jan 9 15:02:08 2015 commencing relation filtering Fri Jan 9 15:02:08 2015 estimated available RAM is 15987.3 MB Fri Jan 9 15:02:08 2015 commencing duplicate removal, pass 1 Fri Jan 9 15:02:24 2015 found 652420 hash collisions in 5475097 relations Fri Jan 9 15:02:27 2015 added 851 free relations Fri Jan 9 15:02:27 2015 commencing duplicate removal, pass 2 Fri Jan 9 15:02:31 2015 found 348314 duplicates and 5127634 unique relations Fri Jan 9 15:02:31 2015 memory use: 20.6 MB Fri Jan 9 15:02:31 2015 reading ideals above 100000 Fri Jan 9 15:02:31 2015 commencing singleton removal, initial pass Fri Jan 9 15:02:53 2015 memory use: 172.2 MB Fri Jan 9 15:02:53 2015 reading all ideals from disk Fri Jan 9 15:02:53 2015 memory use: 167.0 MB Fri Jan 9 15:02:53 2015 keeping 5826494 ideals with weight <= 200, target excess is 24450 Fri Jan 9 15:02:53 2015 commencing in-memory singleton removal Fri Jan 9 15:02:53 2015 begin with 5127634 relations and 5826494 unique ideals Fri Jan 9 15:02:55 2015 reduce to 1688248 relations and 1690535 ideals in 22 passes Fri Jan 9 15:02:55 2015 max relations containing the same ideal: 97 Fri Jan 9 15:06:08 2015 Fri Jan 9 15:06:08 2015 commencing relation filtering Fri Jan 9 15:06:08 2015 estimated available RAM is 15987.3 MB Fri Jan 9 15:06:08 2015 commencing duplicate removal, pass 1 Fri Jan 9 15:06:25 2015 found 728852 hash collisions in 5837926 relations Fri Jan 9 15:06:29 2015 added 726 free relations Fri Jan 9 15:06:29 2015 commencing duplicate removal, pass 2 Fri Jan 9 15:06:33 2015 found 390716 duplicates and 5447936 unique relations Fri Jan 9 15:06:33 2015 memory use: 20.6 MB Fri Jan 9 15:06:33 2015 reading ideals above 100000 Fri Jan 9 15:06:33 2015 commencing singleton removal, initial pass Fri Jan 9 15:06:55 2015 memory use: 172.2 MB Fri Jan 9 15:06:55 2015 reading all ideals from disk Fri Jan 9 15:06:55 2015 memory use: 177.5 MB Fri Jan 9 15:06:56 2015 keeping 5955336 ideals with weight <= 200, target excess is 26062 Fri Jan 9 15:06:56 2015 commencing in-memory singleton removal Fri Jan 9 15:06:56 2015 begin with 5447936 relations and 5955336 unique ideals Fri Jan 9 15:06:58 2015 reduce to 2136979 relations and 2024586 ideals in 19 passes Fri Jan 9 15:06:58 2015 max relations containing the same ideal: 110 Fri Jan 9 15:06:58 2015 removing 350178 relations and 309097 ideals in 41081 cliques Fri Jan 9 15:06:58 2015 commencing in-memory singleton removal Fri Jan 9 15:06:58 2015 begin with 1786801 relations and 2024586 unique ideals Fri Jan 9 15:06:59 2015 reduce to 1735840 relations and 1663171 ideals in 9 passes Fri Jan 9 15:06:59 2015 max relations containing the same ideal: 96 Fri Jan 9 15:06:59 2015 removing 260368 relations and 219287 ideals in 41081 cliques Fri Jan 9 15:06:59 2015 commencing in-memory singleton removal Fri Jan 9 15:06:59 2015 begin with 1475472 relations and 1663171 unique ideals Fri Jan 9 15:07:00 2015 reduce to 1440592 relations and 1408109 ideals in 11 passes Fri Jan 9 15:07:00 2015 max relations containing the same ideal: 82 Fri Jan 9 15:07:00 2015 relations with 0 large ideals: 475 Fri Jan 9 15:07:00 2015 relations with 1 large ideals: 222 Fri Jan 9 15:07:00 2015 relations with 2 large ideals: 3025 Fri Jan 9 15:07:00 2015 relations with 3 large ideals: 26413 Fri Jan 9 15:07:00 2015 relations with 4 large ideals: 120999 Fri Jan 9 15:07:00 2015 relations with 5 large ideals: 320151 Fri Jan 9 15:07:00 2015 relations with 6 large ideals: 436945 Fri Jan 9 15:07:00 2015 relations with 7+ large ideals: 532362 Fri Jan 9 15:07:00 2015 commencing 2-way merge Fri Jan 9 15:07:01 2015 reduce to 822605 relation sets and 790124 unique ideals Fri Jan 9 15:07:01 2015 ignored 2 oversize relation sets Fri Jan 9 15:07:01 2015 commencing full merge Fri Jan 9 15:07:08 2015 memory use: 90.4 MB Fri Jan 9 15:07:08 2015 found 392787 cycles, need 388324 Fri Jan 9 15:07:08 2015 weight of 388324 cycles is about 27260405 (70.20/cycle) Fri Jan 9 15:07:08 2015 distribution of cycle lengths: Fri Jan 9 15:07:08 2015 1 relations: 42472 Fri Jan 9 15:07:08 2015 2 relations: 40470 Fri Jan 9 15:07:08 2015 3 relations: 40268 Fri Jan 9 15:07:08 2015 4 relations: 36875 Fri Jan 9 15:07:08 2015 5 relations: 33647 Fri Jan 9 15:07:08 2015 6 relations: 29814 Fri Jan 9 15:07:08 2015 7 relations: 25766 Fri Jan 9 15:07:08 2015 8 relations: 23364 Fri Jan 9 15:07:08 2015 9 relations: 20334 Fri Jan 9 15:07:08 2015 10+ relations: 95314 Fri Jan 9 15:07:08 2015 heaviest cycle: 25 relations Fri Jan 9 15:07:08 2015 commencing cycle optimization Fri Jan 9 15:07:09 2015 start with 2579603 relations Fri Jan 9 15:07:11 2015 pruned 59573 relations Fri Jan 9 15:07:11 2015 memory use: 83.8 MB Fri Jan 9 15:07:11 2015 distribution of cycle lengths: Fri Jan 9 15:07:11 2015 1 relations: 42472 Fri Jan 9 15:07:11 2015 2 relations: 41313 Fri Jan 9 15:07:11 2015 3 relations: 41592 Fri Jan 9 15:07:11 2015 4 relations: 37663 Fri Jan 9 15:07:11 2015 5 relations: 34410 Fri Jan 9 15:07:11 2015 6 relations: 30179 Fri Jan 9 15:07:11 2015 7 relations: 26216 Fri Jan 9 15:07:11 2015 8 relations: 23497 Fri Jan 9 15:07:11 2015 9 relations: 20166 Fri Jan 9 15:07:11 2015 10+ relations: 90816 Fri Jan 9 15:07:11 2015 heaviest cycle: 25 relations Fri Jan 9 15:07:11 2015 RelProcTime: 63 Fri Jan 9 15:07:11 2015 Fri Jan 9 15:07:11 2015 commencing linear algebra Fri Jan 9 15:07:11 2015 read 388324 cycles Fri Jan 9 15:07:12 2015 cycles contain 1388814 unique relations Fri Jan 9 15:07:18 2015 read 1388814 relations Fri Jan 9 15:07:19 2015 using 20 quadratic characters above 67107738 Fri Jan 9 15:07:23 2015 building initial matrix Fri Jan 9 15:07:30 2015 memory use: 171.8 MB Fri Jan 9 15:07:30 2015 read 388324 cycles Fri Jan 9 15:07:30 2015 matrix is 388149 x 388324 (116.6 MB) with weight 37179347 (95.74/col) Fri Jan 9 15:07:30 2015 sparse part has weight 26291263 (67.70/col) Fri Jan 9 15:07:32 2015 filtering completed in 2 passes Fri Jan 9 15:07:32 2015 matrix is 387535 x 387710 (116.5 MB) with weight 37152107 (95.82/col) Fri Jan 9 15:07:32 2015 sparse part has weight 26282599 (67.79/col) Fri Jan 9 15:07:32 2015 matrix starts at (0, 0) Fri Jan 9 15:07:33 2015 matrix is 387535 x 387710 (116.5 MB) with weight 37152107 (95.82/col) Fri Jan 9 15:07:33 2015 sparse part has weight 26282599 (67.79/col) Fri Jan 9 15:07:33 2015 saving the first 48 matrix rows for later Fri Jan 9 15:07:33 2015 matrix includes 64 packed rows Fri Jan 9 15:07:33 2015 matrix is 387487 x 387710 (112.2 MB) with weight 29452744 (75.97/col) Fri Jan 9 15:07:33 2015 sparse part has weight 25525184 (65.84/col) Fri Jan 9 15:07:33 2015 using block size 65536 for processor cache size 8192 kB Fri Jan 9 15:07:34 2015 commencing Lanczos iteration (8 threads) Fri Jan 9 15:07:34 2015 memory use: 106.7 MB Fri Jan 9 15:07:41 2015 linear algebra at 3.1%, ETA 0h 3m Fri Jan 9 15:11:16 2015 lanczos halted after 6130 iterations (dim = 387478) Fri Jan 9 15:11:16 2015 recovered 29 nontrivial dependencies Fri Jan 9 15:11:16 2015 BLanczosTime: 245 Fri Jan 9 15:11:16 2015 Fri Jan 9 15:11:16 2015 commencing square root phase Fri Jan 9 15:11:16 2015 reading relations for dependency 1 Fri Jan 9 15:11:16 2015 read 193423 cycles Fri Jan 9 15:11:17 2015 cycles contain 692758 unique relations Fri Jan 9 15:11:22 2015 read 692758 relations Fri Jan 9 15:11:23 2015 multiplying 692758 relations Fri Jan 9 15:11:36 2015 multiply complete, coefficients have about 30.24 million bits Fri Jan 9 15:11:36 2015 initial square root is modulo 482505013 Fri Jan 9 15:11:54 2015 GCD is N, no factor found Fri Jan 9 15:11:54 2015 reading relations for dependency 2 Fri Jan 9 15:11:54 2015 read 193871 cycles Fri Jan 9 15:11:54 2015 cycles contain 696010 unique relations Fri Jan 9 15:11:59 2015 read 696010 relations Fri Jan 9 15:12:01 2015 multiplying 696010 relations Fri Jan 9 15:12:14 2015 multiply complete, coefficients have about 30.38 million bits Fri Jan 9 15:12:14 2015 initial square root is modulo 529462993 Fri Jan 9 15:12:32 2015 sqrtTime: 76 -- n: 3548427025747039323814584149145731523883070196115391477686731077002963850852215744986460182722426178509393 skew: 4046242.91 c0: 445755934455773360218281077960 c1: 194865921535433141396010 c2: -97729063520738801 c3: -26256813192 c4: 4248 Y0: -30231812679106534084040073 Y1: 60608138474125 rlim: 2640000 alim: 2640000 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)

## 7×10154-5479

### c100

name 名前 Cyp January 9, 2015 07:50:57 UTC 2015 年 1 月 9 日 (金) 16 時 50 分 57 秒 (日本時間) `4261744142818060669112158711947432145041155879601555445358489511544574077873158262251692664144555683<100>` ```9210564102271116063797350983078805833893330887583<49> 462701751542797610890753187356948506995170152920701<51>``` ```01/09/15 08:23:33 v1.34.3, 01/09/15 08:23:33 v1.34.3, **************************** 01/09/15 08:23:33 v1.34.3, Starting factorization of 4261744142818060669112158711947432145041155879601555445358489511544574077873158262251692664144555683 01/09/15 08:23:33 v1.34.3, using pretesting plan: none 01/09/15 08:23:33 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 01/09/15 08:23:33 v1.34.3, **************************** 01/09/15 08:23:33 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C100 01/09/15 08:23:33 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C100 01/09/15 08:23:33 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C100 01/09/15 08:23:33 v1.34.3, final ECM pretested depth: 0.00 01/09/15 08:23:33 v1.34.3, scheduler: switching to sieve method 01/09/15 08:23:33 v1.34.3, nfs: commencing nfs on c100: 4261744142818060669112158711947432145041155879601555445358489511544574077873158262251692664144555683 01/09/15 08:23:33 v1.34.3, nfs: commencing poly selection with 8 threads 01/09/15 08:23:33 v1.34.3, nfs: setting deadline of 156 seconds 01/09/15 08:26:18 v1.34.3, nfs: completed 257 ranges of size 250 in 164.7127 seconds 01/09/15 08:26:18 v1.34.3, nfs: best poly = # norm 1.108586e-13 alpha -4.701404 e 1.159e-08 rroots 2 01/09/15 08:26:18 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 08:27:40 v1.34.3, nfs: commencing lattice sieving with 8 threads [10 lines snipped] 01/09/15 08:42:48 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 08:44:10 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 08:45:41 v1.34.3, nfs: commencing msieve filtering 01/09/15 08:46:19 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 08:47:41 v1.34.3, nfs: commencing msieve filtering 01/09/15 08:48:30 v1.34.3, nfs: commencing msieve linear algebra 01/09/15 08:50:10 v1.34.3, nfs: commencing msieve sqrt 01/09/15 08:50:56 v1.34.3, prp49 = 9210564102271116063797350983078805833893330887583 01/09/15 08:50:56 v1.34.3, prp51 = 462701751542797610890753187356948506995170152920701 01/09/15 08:50:56 v1.34.3, NFS elapsed time = 1642.6781 seconds. 01/09/15 08:50:56 v1.34.3, 01/09/15 08:50:56 v1.34.3, 01/09/15 08:50:56 v1.34.3, Total factoring time = 1642.7000 seconds -- Fri Jan 9 08:45:41 2015 Fri Jan 9 08:45:41 2015 commencing relation filtering Fri Jan 9 08:45:41 2015 estimated available RAM is 15987.3 MB Fri Jan 9 08:45:41 2015 commencing duplicate removal, pass 1 Fri Jan 9 08:45:54 2015 found 426545 hash collisions in 4620504 relations Fri Jan 9 08:45:57 2015 added 155463 free relations Fri Jan 9 08:45:57 2015 commencing duplicate removal, pass 2 Fri Jan 9 08:46:00 2015 found 180011 duplicates and 4595956 unique relations Fri Jan 9 08:46:00 2015 memory use: 20.6 MB Fri Jan 9 08:46:00 2015 reading ideals above 100000 Fri Jan 9 08:46:00 2015 commencing singleton removal, initial pass Fri Jan 9 08:46:18 2015 memory use: 172.2 MB Fri Jan 9 08:46:18 2015 reading all ideals from disk Fri Jan 9 08:46:18 2015 memory use: 142.4 MB Fri Jan 9 08:46:18 2015 keeping 5304028 ideals with weight <= 200, target excess is 41838 Fri Jan 9 08:46:18 2015 commencing in-memory singleton removal Fri Jan 9 08:46:18 2015 begin with 4595956 relations and 5304028 unique ideals Fri Jan 9 08:46:19 2015 reduce to 1310163 relations and 1262255 ideals in 20 passes Fri Jan 9 08:46:19 2015 max relations containing the same ideal: 83 Fri Jan 9 08:47:41 2015 Fri Jan 9 08:47:41 2015 commencing relation filtering Fri Jan 9 08:47:41 2015 estimated available RAM is 15987.3 MB Fri Jan 9 08:47:41 2015 commencing duplicate removal, pass 1 Fri Jan 9 08:47:55 2015 found 500765 hash collisions in 5102415 relations Fri Jan 9 08:47:58 2015 added 1398 free relations Fri Jan 9 08:47:58 2015 commencing duplicate removal, pass 2 Fri Jan 9 08:48:02 2015 found 203806 duplicates and 4900007 unique relations Fri Jan 9 08:48:02 2015 memory use: 20.6 MB Fri Jan 9 08:48:02 2015 reading ideals above 100000 Fri Jan 9 08:48:02 2015 commencing singleton removal, initial pass Fri Jan 9 08:48:20 2015 memory use: 172.2 MB Fri Jan 9 08:48:21 2015 reading all ideals from disk Fri Jan 9 08:48:21 2015 memory use: 151.9 MB Fri Jan 9 08:48:21 2015 keeping 5443502 ideals with weight <= 200, target excess is 44482 Fri Jan 9 08:48:21 2015 commencing in-memory singleton removal Fri Jan 9 08:48:21 2015 begin with 4900007 relations and 5443502 unique ideals Fri Jan 9 08:48:23 2015 reduce to 1684494 relations and 1540038 ideals in 17 passes Fri Jan 9 08:48:23 2015 max relations containing the same ideal: 99 Fri Jan 9 08:48:23 2015 removing 345760 relations and 299332 ideals in 46428 cliques Fri Jan 9 08:48:23 2015 commencing in-memory singleton removal Fri Jan 9 08:48:23 2015 begin with 1338734 relations and 1540038 unique ideals Fri Jan 9 08:48:23 2015 reduce to 1277626 relations and 1177196 ideals in 11 passes Fri Jan 9 08:48:23 2015 max relations containing the same ideal: 85 Fri Jan 9 08:48:24 2015 removing 257770 relations and 211342 ideals in 46428 cliques Fri Jan 9 08:48:24 2015 commencing in-memory singleton removal Fri Jan 9 08:48:24 2015 begin with 1019856 relations and 1177196 unique ideals Fri Jan 9 08:48:24 2015 reduce to 973696 relations and 917867 ideals in 13 passes Fri Jan 9 08:48:24 2015 max relations containing the same ideal: 70 Fri Jan 9 08:48:24 2015 relations with 0 large ideals: 699 Fri Jan 9 08:48:24 2015 relations with 1 large ideals: 6043 Fri Jan 9 08:48:24 2015 relations with 2 large ideals: 36636 Fri Jan 9 08:48:24 2015 relations with 3 large ideals: 133199 Fri Jan 9 08:48:24 2015 relations with 4 large ideals: 265562 Fri Jan 9 08:48:24 2015 relations with 5 large ideals: 298480 Fri Jan 9 08:48:24 2015 relations with 6 large ideals: 171791 Fri Jan 9 08:48:24 2015 relations with 7+ large ideals: 61286 Fri Jan 9 08:48:24 2015 commencing 2-way merge Fri Jan 9 08:48:24 2015 reduce to 543605 relation sets and 487777 unique ideals Fri Jan 9 08:48:24 2015 ignored 1 oversize relation sets Fri Jan 9 08:48:24 2015 commencing full merge Fri Jan 9 08:48:28 2015 memory use: 49.6 MB Fri Jan 9 08:48:28 2015 found 253327 cycles, need 243977 Fri Jan 9 08:48:28 2015 weight of 243977 cycles is about 17342940 (71.08/cycle) Fri Jan 9 08:48:28 2015 distribution of cycle lengths: Fri Jan 9 08:48:28 2015 1 relations: 24086 Fri Jan 9 08:48:28 2015 2 relations: 24033 Fri Jan 9 08:48:28 2015 3 relations: 23746 Fri Jan 9 08:48:28 2015 4 relations: 22538 Fri Jan 9 08:48:28 2015 5 relations: 20845 Fri Jan 9 08:48:28 2015 6 relations: 19205 Fri Jan 9 08:48:28 2015 7 relations: 17192 Fri Jan 9 08:48:28 2015 8 relations: 15229 Fri Jan 9 08:48:28 2015 9 relations: 13691 Fri Jan 9 08:48:28 2015 10+ relations: 63412 Fri Jan 9 08:48:28 2015 heaviest cycle: 23 relations Fri Jan 9 08:48:28 2015 commencing cycle optimization Fri Jan 9 08:48:28 2015 start with 1650098 relations Fri Jan 9 08:48:30 2015 pruned 39376 relations Fri Jan 9 08:48:30 2015 memory use: 53.8 MB Fri Jan 9 08:48:30 2015 distribution of cycle lengths: Fri Jan 9 08:48:30 2015 1 relations: 24086 Fri Jan 9 08:48:30 2015 2 relations: 24516 Fri Jan 9 08:48:30 2015 3 relations: 24544 Fri Jan 9 08:48:30 2015 4 relations: 23018 Fri Jan 9 08:48:30 2015 5 relations: 21481 Fri Jan 9 08:48:30 2015 6 relations: 19583 Fri Jan 9 08:48:30 2015 7 relations: 17446 Fri Jan 9 08:48:30 2015 8 relations: 15514 Fri Jan 9 08:48:30 2015 9 relations: 13755 Fri Jan 9 08:48:30 2015 10+ relations: 60034 Fri Jan 9 08:48:30 2015 heaviest cycle: 23 relations Fri Jan 9 08:48:30 2015 RelProcTime: 49 Fri Jan 9 08:48:30 2015 Fri Jan 9 08:48:30 2015 commencing linear algebra Fri Jan 9 08:48:30 2015 read 243977 cycles Fri Jan 9 08:48:30 2015 cycles contain 892311 unique relations Fri Jan 9 08:48:35 2015 read 892311 relations Fri Jan 9 08:48:35 2015 using 20 quadratic characters above 67108754 Fri Jan 9 08:48:38 2015 building initial matrix Fri Jan 9 08:48:42 2015 memory use: 107.1 MB Fri Jan 9 08:48:42 2015 read 243977 cycles Fri Jan 9 08:48:42 2015 matrix is 243787 x 243977 (73.6 MB) with weight 23272763 (95.39/col) Fri Jan 9 08:48:42 2015 sparse part has weight 16599248 (68.04/col) Fri Jan 9 08:48:43 2015 filtering completed in 2 passes Fri Jan 9 08:48:43 2015 matrix is 242548 x 242736 (73.4 MB) with weight 23208480 (95.61/col) Fri Jan 9 08:48:43 2015 sparse part has weight 16571027 (68.27/col) Fri Jan 9 08:48:43 2015 matrix starts at (0, 0) Fri Jan 9 08:48:43 2015 matrix is 242548 x 242736 (73.4 MB) with weight 23208480 (95.61/col) Fri Jan 9 08:48:43 2015 sparse part has weight 16571027 (68.27/col) Fri Jan 9 08:48:43 2015 saving the first 48 matrix rows for later Fri Jan 9 08:48:43 2015 matrix includes 64 packed rows Fri Jan 9 08:48:44 2015 matrix is 242500 x 242736 (70.7 MB) with weight 18522944 (76.31/col) Fri Jan 9 08:48:44 2015 sparse part has weight 16093654 (66.30/col) Fri Jan 9 08:48:44 2015 using block size 65536 for processor cache size 8192 kB Fri Jan 9 08:48:44 2015 commencing Lanczos iteration (8 threads) Fri Jan 9 08:48:44 2015 memory use: 66.1 MB Fri Jan 9 08:48:48 2015 linear algebra at 5.0%, ETA 0h 1m Fri Jan 9 08:50:09 2015 lanczos halted after 3836 iterations (dim = 242499) Fri Jan 9 08:50:10 2015 recovered 34 nontrivial dependencies Fri Jan 9 08:50:10 2015 BLanczosTime: 100 Fri Jan 9 08:50:10 2015 Fri Jan 9 08:50:10 2015 commencing square root phase Fri Jan 9 08:50:10 2015 reading relations for dependency 1 Fri Jan 9 08:50:10 2015 read 120982 cycles Fri Jan 9 08:50:10 2015 cycles contain 444058 unique relations Fri Jan 9 08:50:14 2015 read 444058 relations Fri Jan 9 08:50:14 2015 multiplying 444058 relations Fri Jan 9 08:50:21 2015 multiply complete, coefficients have about 18.27 million bits Fri Jan 9 08:50:22 2015 initial square root is modulo 177467 Fri Jan 9 08:50:33 2015 GCD is N, no factor found Fri Jan 9 08:50:33 2015 reading relations for dependency 2 Fri Jan 9 08:50:33 2015 read 121578 cycles Fri Jan 9 08:50:33 2015 cycles contain 446348 unique relations Fri Jan 9 08:50:37 2015 read 446348 relations Fri Jan 9 08:50:38 2015 multiplying 446348 relations Fri Jan 9 08:50:45 2015 multiply complete, coefficients have about 18.37 million bits Fri Jan 9 08:50:46 2015 initial square root is modulo 188857 Fri Jan 9 08:50:56 2015 sqrtTime: 46 -- n: 4261744142818060669112158711947432145041155879601555445358489511544574077873158262251692664144555683 skew: 1407841.07 c0: 3044161166547673701074566548 c1: 6741924007040077253644 c2: -4798994399154671 c3: -3959895870 c4: 2604 Y0: -1131064390984924875650345 Y1: 5011450167491 rlim: 1800000 alim: 1800000 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)

## 7×10156-5479

### c144

name 名前 Cyp January 14, 2015 01:47:17 UTC 2015 年 1 月 14 日 (水) 10 時 47 分 17 秒 (日本時間) `196742156612204336766402976492454947169845988166300996899401435744895120447839189897494279557229345043896278511472227009485929702189864701943697<144>` ```8407834670832334399530067335567792590543<40> 23399860286825529135372565608121243183766076529684999067790289709687397071907043756370040467801911755679<104>``` ```01/13/15 23:36:38 v1.34.3, 01/13/15 23:36:38 v1.34.3, **************************** 01/13/15 23:36:38 v1.34.3, Starting factorization of 196742156612204336766402976492454947169845988166300996899401435744895120447839189897494279557229345043896278511472227009485929702189864701943697 01/13/15 23:36:38 v1.34.3, using pretesting plan: none 01/13/15 23:36:38 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 01/13/15 23:36:38 v1.34.3, **************************** 01/13/15 23:36:38 v1.34.3, nfs: commencing nfs on c144: 196742156612204336766402976492454947169845988166300996899401435744895120447839189897494279557229345043896278511472227009485929702189864701943697 01/13/15 23:36:38 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 01/13/15 23:36:38 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/13/15 23:40:45 v1.34.3, nfs: commencing lattice sieving with 8 threads [40 lines snipped] 01/14/15 02:31:46 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/14/15 02:35:56 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/14/15 02:40:11 v1.34.3, nfs: commencing msieve filtering 01/14/15 02:41:56 v1.34.3, nfs: commencing msieve linear algebra 01/14/15 02:46:42 v1.34.3, nfs: commencing msieve sqrt 01/14/15 02:47:16 v1.34.3, prp40 = 8407834670832334399530067335567792590543 01/14/15 02:47:16 v1.34.3, prp104 = 23399860286825529135372565608121243183766076529684999067790289709687397071907043756370040467801911755679 01/14/15 02:47:16 v1.34.3, NFS elapsed time = 11438.2264 seconds. 01/14/15 02:47:16 v1.34.3, 01/14/15 02:47:16 v1.34.3, 01/14/15 02:47:16 v1.34.3, Total factoring time = 11438.2274 seconds -- Wed Jan 14 02:40:11 2015 Wed Jan 14 02:40:11 2015 commencing relation filtering Wed Jan 14 02:40:11 2015 estimated available RAM is 15987.3 MB Wed Jan 14 02:40:11 2015 commencing duplicate removal, pass 1 Wed Jan 14 02:40:38 2015 found 1412035 hash collisions in 10126498 relations Wed Jan 14 02:40:46 2015 added 359937 free relations Wed Jan 14 02:40:46 2015 commencing duplicate removal, pass 2 Wed Jan 14 02:40:54 2015 found 979754 duplicates and 9506681 unique relations Wed Jan 14 02:40:54 2015 memory use: 41.3 MB Wed Jan 14 02:40:54 2015 reading ideals above 100000 Wed Jan 14 02:40:54 2015 commencing singleton removal, initial pass Wed Jan 14 02:41:35 2015 memory use: 188.2 MB Wed Jan 14 02:41:35 2015 reading all ideals from disk Wed Jan 14 02:41:35 2015 memory use: 331.4 MB Wed Jan 14 02:41:35 2015 keeping 9738801 ideals with weight <= 200, target excess is 51302 Wed Jan 14 02:41:36 2015 commencing in-memory singleton removal Wed Jan 14 02:41:36 2015 begin with 9506681 relations and 9738801 unique ideals Wed Jan 14 02:41:39 2015 reduce to 4586978 relations and 3703962 ideals in 11 passes Wed Jan 14 02:41:39 2015 max relations containing the same ideal: 123 Wed Jan 14 02:41:40 2015 removing 1314281 relations and 914281 ideals in 400000 cliques Wed Jan 14 02:41:40 2015 commencing in-memory singleton removal Wed Jan 14 02:41:40 2015 begin with 3272697 relations and 3703962 unique ideals Wed Jan 14 02:41:41 2015 reduce to 3026063 relations and 2516950 ideals in 8 passes Wed Jan 14 02:41:41 2015 max relations containing the same ideal: 97 Wed Jan 14 02:41:42 2015 removing 1111781 relations and 711781 ideals in 400000 cliques Wed Jan 14 02:41:42 2015 commencing in-memory singleton removal Wed Jan 14 02:41:42 2015 begin with 1914282 relations and 2516950 unique ideals Wed Jan 14 02:41:43 2015 reduce to 1685539 relations and 1547285 ideals in 9 passes Wed Jan 14 02:41:43 2015 max relations containing the same ideal: 68 Wed Jan 14 02:41:43 2015 removing 300046 relations and 221303 ideals in 78743 cliques Wed Jan 14 02:41:43 2015 commencing in-memory singleton removal Wed Jan 14 02:41:43 2015 begin with 1385493 relations and 1547285 unique ideals Wed Jan 14 02:41:43 2015 reduce to 1341456 relations and 1279833 ideals in 7 passes Wed Jan 14 02:41:43 2015 max relations containing the same ideal: 59 Wed Jan 14 02:41:44 2015 relations with 0 large ideals: 1139 Wed Jan 14 02:41:44 2015 relations with 1 large ideals: 682 Wed Jan 14 02:41:44 2015 relations with 2 large ideals: 8686 Wed Jan 14 02:41:44 2015 relations with 3 large ideals: 57673 Wed Jan 14 02:41:44 2015 relations with 4 large ideals: 189193 Wed Jan 14 02:41:44 2015 relations with 5 large ideals: 347196 Wed Jan 14 02:41:44 2015 relations with 6 large ideals: 385677 Wed Jan 14 02:41:44 2015 relations with 7+ large ideals: 351210 Wed Jan 14 02:41:44 2015 commencing 2-way merge Wed Jan 14 02:41:44 2015 reduce to 831440 relation sets and 769817 unique ideals Wed Jan 14 02:41:44 2015 commencing full merge Wed Jan 14 02:41:52 2015 memory use: 100.2 MB Wed Jan 14 02:41:52 2015 found 431874 cycles, need 422017 Wed Jan 14 02:41:52 2015 weight of 422017 cycles is about 29644489 (70.24/cycle) Wed Jan 14 02:41:52 2015 distribution of cycle lengths: Wed Jan 14 02:41:52 2015 1 relations: 38460 Wed Jan 14 02:41:52 2015 2 relations: 41787 Wed Jan 14 02:41:52 2015 3 relations: 45384 Wed Jan 14 02:41:52 2015 4 relations: 45401 Wed Jan 14 02:41:52 2015 5 relations: 44174 Wed Jan 14 02:41:52 2015 6 relations: 41205 Wed Jan 14 02:41:52 2015 7 relations: 36341 Wed Jan 14 02:41:52 2015 8 relations: 31121 Wed Jan 14 02:41:52 2015 9 relations: 25481 Wed Jan 14 02:41:52 2015 10+ relations: 72663 Wed Jan 14 02:41:52 2015 heaviest cycle: 20 relations Wed Jan 14 02:41:52 2015 commencing cycle optimization Wed Jan 14 02:41:53 2015 start with 2510446 relations Wed Jan 14 02:41:55 2015 pruned 75834 relations Wed Jan 14 02:41:55 2015 memory use: 80.0 MB Wed Jan 14 02:41:55 2015 distribution of cycle lengths: Wed Jan 14 02:41:55 2015 1 relations: 38460 Wed Jan 14 02:41:55 2015 2 relations: 42734 Wed Jan 14 02:41:55 2015 3 relations: 47086 Wed Jan 14 02:41:55 2015 4 relations: 46840 Wed Jan 14 02:41:55 2015 5 relations: 45903 Wed Jan 14 02:41:55 2015 6 relations: 42437 Wed Jan 14 02:41:55 2015 7 relations: 37486 Wed Jan 14 02:41:55 2015 8 relations: 31606 Wed Jan 14 02:41:55 2015 9 relations: 25198 Wed Jan 14 02:41:55 2015 10+ relations: 64267 Wed Jan 14 02:41:55 2015 heaviest cycle: 19 relations Wed Jan 14 02:41:56 2015 RelProcTime: 105 Wed Jan 14 02:41:56 2015 Wed Jan 14 02:41:56 2015 commencing linear algebra Wed Jan 14 02:41:56 2015 read 422017 cycles Wed Jan 14 02:41:56 2015 cycles contain 1293360 unique relations Wed Jan 14 02:42:05 2015 read 1293360 relations Wed Jan 14 02:42:06 2015 using 20 quadratic characters above 134213774 Wed Jan 14 02:42:10 2015 building initial matrix Wed Jan 14 02:42:16 2015 memory use: 162.4 MB Wed Jan 14 02:42:16 2015 read 422017 cycles Wed Jan 14 02:42:16 2015 matrix is 421840 x 422017 (125.5 MB) with weight 37303486 (88.39/col) Wed Jan 14 02:42:16 2015 sparse part has weight 28250068 (66.94/col) Wed Jan 14 02:42:18 2015 filtering completed in 2 passes Wed Jan 14 02:42:18 2015 matrix is 421677 x 421854 (125.5 MB) with weight 37296062 (88.41/col) Wed Jan 14 02:42:18 2015 sparse part has weight 28246273 (66.96/col) Wed Jan 14 02:42:19 2015 matrix starts at (0, 0) Wed Jan 14 02:42:19 2015 matrix is 421677 x 421854 (125.5 MB) with weight 37296062 (88.41/col) Wed Jan 14 02:42:19 2015 sparse part has weight 28246273 (66.96/col) Wed Jan 14 02:42:19 2015 saving the first 48 matrix rows for later Wed Jan 14 02:42:19 2015 matrix includes 64 packed rows Wed Jan 14 02:42:19 2015 matrix is 421629 x 421854 (117.6 MB) with weight 29289470 (69.43/col) Wed Jan 14 02:42:19 2015 sparse part has weight 26614646 (63.09/col) Wed Jan 14 02:42:19 2015 using block size 65536 for processor cache size 8192 kB Wed Jan 14 02:42:20 2015 commencing Lanczos iteration (8 threads) Wed Jan 14 02:42:20 2015 memory use: 113.6 MB Wed Jan 14 02:42:27 2015 linear algebra at 2.9%, ETA 0h 3m Wed Jan 14 02:46:42 2015 lanczos halted after 6668 iterations (dim = 421628) Wed Jan 14 02:46:42 2015 recovered 37 nontrivial dependencies Wed Jan 14 02:46:42 2015 BLanczosTime: 286 Wed Jan 14 02:46:42 2015 Wed Jan 14 02:46:42 2015 commencing square root phase Wed Jan 14 02:46:42 2015 reading relations for dependency 1 Wed Jan 14 02:46:42 2015 read 210623 cycles Wed Jan 14 02:46:42 2015 cycles contain 645214 unique relations Wed Jan 14 02:46:50 2015 read 645214 relations Wed Jan 14 02:46:51 2015 multiplying 645214 relations Wed Jan 14 02:47:02 2015 multiply complete, coefficients have about 17.89 million bits Wed Jan 14 02:47:02 2015 initial square root is modulo 137491 Wed Jan 14 02:47:16 2015 sqrtTime: 34 -- n: 196742156612204336766402976492454947169845988166300996899401435744895120447839189897494279557229345043896278511472227009485929702189864701943697 m: 10000000000000000000000000000000 deg: 5 c5: 70 c0: -547 skew: 1.51 # Murphy_E = 5.806e-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 00:04:15 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 15 秒 (日本時間)

## 7×10158-5479

### c102

name 名前 Cyp January 9, 2015 08:25:18 UTC 2015 年 1 月 9 日 (金) 17 時 25 分 18 秒 (日本時間) `982760852034659206836983812605383282719308638389314577096917178140823841655565082079748010783028086869<102>` ```374832101759401153483712807713442376389<39> 2621869491491627849436743094499740969489139425599582845552394321<64>``` ```01/09/15 08:51:01 v1.34.3, 01/09/15 08:51:01 v1.34.3, **************************** 01/09/15 08:51:01 v1.34.3, Starting factorization of 982760852034659206836983812605383282719308638389314577096917178140823841655565082079748010783028086869 01/09/15 08:51:01 v1.34.3, using pretesting plan: none 01/09/15 08:51:01 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 01/09/15 08:51:01 v1.34.3, **************************** 01/09/15 08:51:01 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C102 01/09/15 08:51:01 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C102 01/09/15 08:51:01 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C102 01/09/15 08:51:01 v1.34.3, final ECM pretested depth: 0.00 01/09/15 08:51:01 v1.34.3, scheduler: switching to sieve method 01/09/15 08:51:01 v1.34.3, nfs: commencing nfs on c102: 982760852034659206836983812605383282719308638389314577096917178140823841655565082079748010783028086869 01/09/15 08:51:01 v1.34.3, nfs: commencing poly selection with 8 threads 01/09/15 08:51:01 v1.34.3, nfs: setting deadline of 188 seconds 01/09/15 08:54:33 v1.34.3, nfs: completed 51 ranges of size 250 in 211.1222 seconds 01/09/15 08:54:33 v1.34.3, nfs: best poly = # norm 5.543347e-14 alpha -4.790045 e 8.557e-09 rroots 2 01/09/15 08:54:33 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 08:55:52 v1.34.3, nfs: commencing lattice sieving with 8 threads [13 lines snipped] 01/09/15 09:14:29 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 09:15:52 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 09:17:16 v1.34.3, nfs: commencing msieve filtering 01/09/15 09:17:56 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 09:19:24 v1.34.3, nfs: commencing msieve filtering 01/09/15 09:20:06 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 09:21:30 v1.34.3, nfs: commencing msieve filtering 01/09/15 09:22:24 v1.34.3, nfs: commencing msieve linear algebra 01/09/15 09:24:43 v1.34.3, nfs: commencing msieve sqrt 01/09/15 09:25:11 v1.34.3, prp64 = 2621869491491627849436743094499740969489139425599582845552394321 01/09/15 09:25:11 v1.34.3, prp39 = 374832101759401153483712807713442376389 01/09/15 09:25:11 v1.34.3, NFS elapsed time = 2049.7218 seconds. 01/09/15 09:25:11 v1.34.3, 01/09/15 09:25:11 v1.34.3, 01/09/15 09:25:11 v1.34.3, Total factoring time = 2049.7438 seconds -- Fri Jan 9 09:17:16 2015 Fri Jan 9 09:17:16 2015 commencing relation filtering Fri Jan 9 09:17:16 2015 estimated available RAM is 15987.3 MB Fri Jan 9 09:17:16 2015 commencing duplicate removal, pass 1 Fri Jan 9 09:17:29 2015 found 426731 hash collisions in 4539795 relations Fri Jan 9 09:17:33 2015 added 156016 free relations Fri Jan 9 09:17:33 2015 commencing duplicate removal, pass 2 Fri Jan 9 09:17:37 2015 found 191055 duplicates and 4504756 unique relations Fri Jan 9 09:17:37 2015 memory use: 20.6 MB Fri Jan 9 09:17:37 2015 reading ideals above 100000 Fri Jan 9 09:17:37 2015 commencing singleton removal, initial pass Fri Jan 9 09:17:54 2015 memory use: 172.2 MB Fri Jan 9 09:17:54 2015 reading all ideals from disk Fri Jan 9 09:17:54 2015 memory use: 141.6 MB Fri Jan 9 09:17:54 2015 keeping 5350408 ideals with weight <= 200, target excess is 28552 Fri Jan 9 09:17:54 2015 commencing in-memory singleton removal Fri Jan 9 09:17:55 2015 begin with 4504756 relations and 5350408 unique ideals Fri Jan 9 09:17:56 2015 reduce to 1079861 relations and 1119949 ideals in 27 passes Fri Jan 9 09:17:56 2015 max relations containing the same ideal: 74 Fri Jan 9 09:19:24 2015 Fri Jan 9 09:19:24 2015 commencing relation filtering Fri Jan 9 09:19:24 2015 estimated available RAM is 15987.3 MB Fri Jan 9 09:19:24 2015 commencing duplicate removal, pass 1 Fri Jan 9 09:19:38 2015 found 493108 hash collisions in 4976098 relations Fri Jan 9 09:19:41 2015 added 1187 free relations Fri Jan 9 09:19:41 2015 commencing duplicate removal, pass 2 Fri Jan 9 09:19:45 2015 found 212886 duplicates and 4764399 unique relations Fri Jan 9 09:19:45 2015 memory use: 20.6 MB Fri Jan 9 09:19:45 2015 reading ideals above 100000 Fri Jan 9 09:19:45 2015 commencing singleton removal, initial pass Fri Jan 9 09:20:03 2015 memory use: 172.2 MB Fri Jan 9 09:20:04 2015 reading all ideals from disk Fri Jan 9 09:20:04 2015 memory use: 149.9 MB Fri Jan 9 09:20:04 2015 keeping 5473258 ideals with weight <= 200, target excess is 30503 Fri Jan 9 09:20:04 2015 commencing in-memory singleton removal Fri Jan 9 09:20:04 2015 begin with 4764399 relations and 5473258 unique ideals Fri Jan 9 09:20:06 2015 reduce to 1423243 relations and 1393016 ideals in 20 passes Fri Jan 9 09:20:06 2015 max relations containing the same ideal: 89 Fri Jan 9 09:21:30 2015 Fri Jan 9 09:21:30 2015 commencing relation filtering Fri Jan 9 09:21:30 2015 estimated available RAM is 15987.3 MB Fri Jan 9 09:21:30 2015 commencing duplicate removal, pass 1 Fri Jan 9 09:21:46 2015 found 541010 hash collisions in 5240069 relations Fri Jan 9 09:21:49 2015 added 1006 free relations Fri Jan 9 09:21:49 2015 commencing duplicate removal, pass 2 Fri Jan 9 09:21:53 2015 found 234209 duplicates and 5006866 unique relations Fri Jan 9 09:21:53 2015 memory use: 20.6 MB Fri Jan 9 09:21:53 2015 reading ideals above 100000 Fri Jan 9 09:21:53 2015 commencing singleton removal, initial pass Fri Jan 9 09:22:12 2015 memory use: 172.2 MB Fri Jan 9 09:22:13 2015 reading all ideals from disk Fri Jan 9 09:22:13 2015 memory use: 157.5 MB Fri Jan 9 09:22:13 2015 keeping 5581301 ideals with weight <= 200, target excess is 32529 Fri Jan 9 09:22:13 2015 commencing in-memory singleton removal Fri Jan 9 09:22:13 2015 begin with 5006866 relations and 5581301 unique ideals Fri Jan 9 09:22:15 2015 reduce to 1735276 relations and 1626261 ideals in 18 passes Fri Jan 9 09:22:15 2015 max relations containing the same ideal: 98 Fri Jan 9 09:22:15 2015 removing 306100 relations and 270459 ideals in 35641 cliques Fri Jan 9 09:22:15 2015 commencing in-memory singleton removal Fri Jan 9 09:22:15 2015 begin with 1429176 relations and 1626261 unique ideals Fri Jan 9 09:22:15 2015 reduce to 1381304 relations and 1306522 ideals in 11 passes Fri Jan 9 09:22:15 2015 max relations containing the same ideal: 83 Fri Jan 9 09:22:16 2015 removing 226770 relations and 191129 ideals in 35641 cliques Fri Jan 9 09:22:16 2015 commencing in-memory singleton removal Fri Jan 9 09:22:16 2015 begin with 1154534 relations and 1306522 unique ideals Fri Jan 9 09:22:16 2015 reduce to 1121097 relations and 1081049 ideals in 9 passes Fri Jan 9 09:22:16 2015 max relations containing the same ideal: 73 Fri Jan 9 09:22:16 2015 relations with 0 large ideals: 511 Fri Jan 9 09:22:16 2015 relations with 1 large ideals: 1584 Fri Jan 9 09:22:16 2015 relations with 2 large ideals: 13822 Fri Jan 9 09:22:16 2015 relations with 3 large ideals: 65154 Fri Jan 9 09:22:16 2015 relations with 4 large ideals: 179853 Fri Jan 9 09:22:16 2015 relations with 5 large ideals: 311759 Fri Jan 9 09:22:16 2015 relations with 6 large ideals: 302254 Fri Jan 9 09:22:16 2015 relations with 7+ large ideals: 246160 Fri Jan 9 09:22:16 2015 commencing 2-way merge Fri Jan 9 09:22:16 2015 reduce to 627577 relation sets and 587531 unique ideals Fri Jan 9 09:22:16 2015 ignored 2 oversize relation sets Fri Jan 9 09:22:16 2015 commencing full merge Fri Jan 9 09:22:21 2015 memory use: 62.1 MB Fri Jan 9 09:22:21 2015 found 295256 cycles, need 289731 Fri Jan 9 09:22:21 2015 weight of 289731 cycles is about 20487828 (70.71/cycle) Fri Jan 9 09:22:21 2015 distribution of cycle lengths: Fri Jan 9 09:22:21 2015 1 relations: 30387 Fri Jan 9 09:22:21 2015 2 relations: 29267 Fri Jan 9 09:22:21 2015 3 relations: 28667 Fri Jan 9 09:22:21 2015 4 relations: 27087 Fri Jan 9 09:22:21 2015 5 relations: 24830 Fri Jan 9 09:22:21 2015 6 relations: 22272 Fri Jan 9 09:22:21 2015 7 relations: 19375 Fri Jan 9 09:22:21 2015 8 relations: 17290 Fri Jan 9 09:22:21 2015 9 relations: 15720 Fri Jan 9 09:22:21 2015 10+ relations: 74836 Fri Jan 9 09:22:21 2015 heaviest cycle: 25 relations Fri Jan 9 09:22:21 2015 commencing cycle optimization Fri Jan 9 09:22:22 2015 start with 1966203 relations Fri Jan 9 09:22:23 2015 pruned 44735 relations Fri Jan 9 09:22:23 2015 memory use: 64.0 MB Fri Jan 9 09:22:23 2015 distribution of cycle lengths: Fri Jan 9 09:22:23 2015 1 relations: 30387 Fri Jan 9 09:22:23 2015 2 relations: 29875 Fri Jan 9 09:22:23 2015 3 relations: 29655 Fri Jan 9 09:22:23 2015 4 relations: 27669 Fri Jan 9 09:22:23 2015 5 relations: 25449 Fri Jan 9 09:22:23 2015 6 relations: 22480 Fri Jan 9 09:22:23 2015 7 relations: 19783 Fri Jan 9 09:22:23 2015 8 relations: 17340 Fri Jan 9 09:22:23 2015 9 relations: 15768 Fri Jan 9 09:22:23 2015 10+ relations: 71325 Fri Jan 9 09:22:23 2015 heaviest cycle: 25 relations Fri Jan 9 09:22:24 2015 RelProcTime: 54 Fri Jan 9 09:22:24 2015 Fri Jan 9 09:22:24 2015 commencing linear algebra Fri Jan 9 09:22:24 2015 read 289731 cycles Fri Jan 9 09:22:24 2015 cycles contain 1061709 unique relations Fri Jan 9 09:22:29 2015 read 1061709 relations Fri Jan 9 09:22:30 2015 using 20 quadratic characters above 67106114 Fri Jan 9 09:22:34 2015 building initial matrix Fri Jan 9 09:22:39 2015 memory use: 127.2 MB Fri Jan 9 09:22:39 2015 read 289731 cycles Fri Jan 9 09:22:39 2015 matrix is 289556 x 289731 (87.0 MB) with weight 27799301 (95.95/col) Fri Jan 9 09:22:39 2015 sparse part has weight 19610315 (67.68/col) Fri Jan 9 09:22:40 2015 filtering completed in 2 passes Fri Jan 9 09:22:40 2015 matrix is 288695 x 288874 (86.9 MB) with weight 27758004 (96.09/col) Fri Jan 9 09:22:40 2015 sparse part has weight 19595058 (67.83/col) Fri Jan 9 09:22:40 2015 matrix starts at (0, 0) Fri Jan 9 09:22:40 2015 matrix is 288695 x 288874 (86.9 MB) with weight 27758004 (96.09/col) Fri Jan 9 09:22:40 2015 sparse part has weight 19595058 (67.83/col) Fri Jan 9 09:22:40 2015 saving the first 48 matrix rows for later Fri Jan 9 09:22:40 2015 matrix includes 64 packed rows Fri Jan 9 09:22:40 2015 matrix is 288647 x 288874 (84.0 MB) with weight 21972675 (76.06/col) Fri Jan 9 09:22:40 2015 sparse part has weight 19120781 (66.19/col) Fri Jan 9 09:22:40 2015 using block size 65536 for processor cache size 8192 kB Fri Jan 9 09:22:41 2015 commencing Lanczos iteration (8 threads) Fri Jan 9 09:22:41 2015 memory use: 79.2 MB Fri Jan 9 09:22:46 2015 linear algebra at 4.2%, ETA 0h 1m Fri Jan 9 09:24:43 2015 lanczos halted after 4567 iterations (dim = 288647) Fri Jan 9 09:24:43 2015 recovered 33 nontrivial dependencies Fri Jan 9 09:24:43 2015 BLanczosTime: 139 Fri Jan 9 09:24:43 2015 Fri Jan 9 09:24:43 2015 commencing square root phase Fri Jan 9 09:24:43 2015 reading relations for dependency 1 Fri Jan 9 09:24:43 2015 read 144158 cycles Fri Jan 9 09:24:43 2015 cycles contain 529862 unique relations Fri Jan 9 09:24:48 2015 read 529862 relations Fri Jan 9 09:24:49 2015 multiplying 529862 relations Fri Jan 9 09:24:58 2015 multiply complete, coefficients have about 22.43 million bits Fri Jan 9 09:24:58 2015 initial square root is modulo 2760473 Fri Jan 9 09:25:11 2015 sqrtTime: 28 -- n: 982760852034659206836983812605383282719308638389314577096917178140823841655565082079748010783028086869 skew: 1563067.94 c0: 7415575472566080844033759581 c1: -45757585592322388935 c2: -16626954232754737 c3: 6276905183 c4: 3948 Y0: -3972076501455073541352872 Y1: 1650041535623 rlim: 2080000 alim: 2080000 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)

## 7×10160-5479

### c99

name 名前 Serge Batalov January 9, 2015 01:00:37 UTC 2015 年 1 月 9 日 (金) 10 時 0 分 37 秒 (日本時間) `347645708477921326748738646624708783035496599737559422752084499729779133856229640562354801450474699<99>` ```111725692726549851978679240228030691168594818937<48> 3111600384781582089183916728057308978195576064848227<52>``` ```Divisors found: r1=111725692726549851978679240228030691168594818937 (pp48) r2=3111600384781582089183916728057308978195576064848227 (pp52) Version: Msieve v. 1.51 (SVN 719M) Total time: 1.60 hours. Scaled time: 3.84 units (timescale=2.400). Factorization parameters were as follows: name: test type: gnfs n: 347645708477921326748738646624708783035496599737559422752084499729779133856229640562354801450474699 skew: 7304147.83 Y0: -1640513122375402244050887 Y1: 4911610961587 c0: -21358651845634302162952906750 c1: 33735733174588105645205 c2: 9749388769022884 c3: -856428428 c4: 48 Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [750000, 1170001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 196816 x 197064 Total sieving time: 1.52 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.02 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: gnfs,98,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,25,25,46,46,2.5,2.5,70000 total time: 1.60 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)

## 7×10161-5479

### c126

name 名前 Serge Batalov January 8, 2015 23:00:24 UTC 2015 年 1 月 9 日 (金) 8 時 0 分 24 秒 (日本時間) `750287677551411796871055513003027901147728829571183114742758775934014592477968690343259225532988662709386308724356812427004481<126>` `327634956355312193427918376629971<33>` `2290011071766539282174360651364723439578052301950477972850295661840936859292156322673757238811<94>` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=378956286 Step 1 took 7586ms Step 2 took 6620ms ********** Factor found in step 2: 327634956355312193427918376629971 Found probable prime factor of 33 digits: 327634956355312193427918376629971 Composite cofactor ```

### c94

name 名前 Serge Batalov January 9, 2015 18:30:06 UTC 2015 年 1 月 10 日 (土) 3 時 30 分 6 秒 (日本時間) `2290011071766539282174360651364723439578052301950477972850295661840936859292156322673757238811<94>` ```260351512279746717483835517328353168227543<42> 8795843172617837637647039840626367284550044253226077<52>``` `PRP42 = 260351512279746717483835517328353168227543` `yafu`

### 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)

## 7×10163-5479

### c143

name 名前 Maksym Voznyy February 7, 2015 02:17:59 UTC 2015 年 2 月 7 日 (土) 11 時 17 分 59 秒 (日本時間) `24261153206107228434879858060836153164303693753038248959642720757349104874103565296606995333495947531862431403004536921557892324785493675747557<143>` ```10417393965966540313036700419805573317937398108616542956873773<62> 2328908101716036508677199901942873845182242161115165372736474378987903966196973209<82>``` ```Number: example8 N = 24261153206107228434879858060836153164303693753038248959642720757349104874103565296606995333495947531862431403004536921557892324785493675747557 (143 digits) SNFS difficulty: 164 digits. Divisors found: r1=533430676533041177960320831644413038217233435275987999469 (pp57) r2=10417393965966540313036700419805573317937398108616542956873773 (pp62) r3=5430093009989847691469443628800863162615323828939017467532857013814297 (pp70) r4=2328908101716036508677199901942873845182242161115165372736474378987903966196973209 (pp82) Version: Msieve v. 1.51 (SVN 845) Total time: 33.11 hours. Factorization parameters were as follows: n: 24261153206107228434879858060836153164303693753038248959642720757349104874103565296606995333495947531862431403004536921557892324785493675747557 m: 100000000000000000000000000000000 deg: 5 c5: 7000 c0: -547 skew: 0.60 # Murphy_E = 2.515e-10 type: snfs lss: 1 rlim: 3800000 alim: 3800000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 3800000/3800000 Large primes per side: 3 Large prime bits: 27/27 Sieved rational special-q in [0, 0) Total raw relations: 9880194 Relations: 1364938 relations Pruned matrix : 809466 x 809691 Polynomial selection time: 0.00 hours. Total sieving time: 29.34 hours. Total relation processing time: 0.24 hours. Matrix solve time: 3.15 hours. time per square root: 0.38 hours. Prototype def-par.txt line would be: snfs,164,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000 total time: 33.11 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 00:04:17 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 17 秒 (日本時間)

## 7×10164-5479

### c113

name 名前 Cyp January 11, 2015 02:35:40 UTC 2015 年 1 月 11 日 (日) 11 時 35 分 40 秒 (日本時間) `56649386989904074961359374441455355218460546676623552736768053834577881650307648149598685566704796548274501361393<113>` ```385366527231768897226424216425340342416074837094981<51> 147001316893913159857874727599819846268853383764561792633035453<63>``` ```01/11/15 01:21:24 v1.34.3, 01/11/15 01:21:24 v1.34.3, **************************** 01/11/15 01:21:24 v1.34.3, Starting factorization of 56649386989904074961359374441455355218460546676623552736768053834577881650307648149598685566704796548274501361393 01/11/15 01:21:24 v1.34.3, using pretesting plan: none 01/11/15 01:21:24 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 01/11/15 01:21:24 v1.34.3, **************************** 01/11/15 01:21:24 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C113 01/11/15 01:21:24 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C113 01/11/15 01:21:24 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C113 01/11/15 01:21:24 v1.34.3, final ECM pretested depth: 0.00 01/11/15 01:21:24 v1.34.3, scheduler: switching to sieve method 01/11/15 01:21:24 v1.34.3, nfs: commencing nfs on c113: 56649386989904074961359374441455355218460546676623552736768053834577881650307648149598685566704796548274501361393 01/11/15 01:21:24 v1.34.3, nfs: commencing poly selection with 8 threads 01/11/15 01:21:24 v1.34.3, nfs: setting deadline of 700 seconds 01/11/15 01:33:11 v1.34.3, nfs: completed 143 ranges of size 250 in 706.7422 seconds 01/11/15 01:33:11 v1.34.3, nfs: best poly = # norm 1.018102e-10 alpha -7.917368 e 7.046e-10 rroots 3 01/11/15 01:33:11 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/11/15 01:38:48 v1.34.3, nfs: commencing lattice sieving with 8 threads [16 lines snipped] 01/11/15 03:15:40 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/11/15 03:21:23 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/11/15 03:27:09 v1.34.3, nfs: commencing msieve filtering 01/11/15 03:29:02 v1.34.3, nfs: commencing msieve linear algebra 01/11/15 03:33:44 v1.34.3, nfs: commencing msieve sqrt 01/11/15 03:35:39 v1.34.3, prp63 = 147001316893913159857874727599819846268853383764561792633035453 01/11/15 03:35:39 v1.34.3, prp51 = 385366527231768897226424216425340342416074837094981 01/11/15 03:35:39 v1.34.3, NFS elapsed time = 8054.6566 seconds. 01/11/15 03:35:39 v1.34.3, 01/11/15 03:35:39 v1.34.3, 01/11/15 03:35:39 v1.34.3, Total factoring time = 8054.6796 seconds -- Sun Jan 11 03:27:09 2015 Sun Jan 11 03:27:09 2015 commencing relation filtering Sun Jan 11 03:27:09 2015 estimated available RAM is 15987.3 MB Sun Jan 11 03:27:09 2015 commencing duplicate removal, pass 1 Sun Jan 11 03:27:43 2015 found 1006996 hash collisions in 10257888 relations Sun Jan 11 03:27:52 2015 added 62219 free relations Sun Jan 11 03:27:52 2015 commencing duplicate removal, pass 2 Sun Jan 11 03:28:00 2015 found 405304 duplicates and 9914803 unique relations Sun Jan 11 03:28:00 2015 memory use: 41.3 MB Sun Jan 11 03:28:00 2015 reading ideals above 100000 Sun Jan 11 03:28:00 2015 commencing singleton removal, initial pass Sun Jan 11 03:28:44 2015 memory use: 344.5 MB Sun Jan 11 03:28:44 2015 reading all ideals from disk Sun Jan 11 03:28:44 2015 memory use: 337.6 MB Sun Jan 11 03:28:45 2015 keeping 10499374 ideals with weight <= 200, target excess is 87003 Sun Jan 11 03:28:45 2015 commencing in-memory singleton removal Sun Jan 11 03:28:46 2015 begin with 9914803 relations and 10499374 unique ideals Sun Jan 11 03:28:49 2015 reduce to 3924273 relations and 3424123 ideals in 17 passes Sun Jan 11 03:28:49 2015 max relations containing the same ideal: 114 Sun Jan 11 03:28:50 2015 removing 1035640 relations and 836027 ideals in 199613 cliques Sun Jan 11 03:28:50 2015 commencing in-memory singleton removal Sun Jan 11 03:28:50 2015 begin with 2888633 relations and 3424123 unique ideals Sun Jan 11 03:28:51 2015 reduce to 2670700 relations and 2355283 ideals in 10 passes Sun Jan 11 03:28:51 2015 max relations containing the same ideal: 83 Sun Jan 11 03:28:51 2015 removing 790770 relations and 591157 ideals in 199613 cliques Sun Jan 11 03:28:52 2015 commencing in-memory singleton removal Sun Jan 11 03:28:52 2015 begin with 1879930 relations and 2355283 unique ideals Sun Jan 11 03:28:52 2015 reduce to 1694628 relations and 1563658 ideals in 11 passes Sun Jan 11 03:28:52 2015 max relations containing the same ideal: 62 Sun Jan 11 03:28:53 2015 removing 185199 relations and 155153 ideals in 30046 cliques Sun Jan 11 03:28:53 2015 commencing in-memory singleton removal Sun Jan 11 03:28:53 2015 begin with 1509429 relations and 1563658 unique ideals Sun Jan 11 03:28:53 2015 reduce to 1494613 relations and 1393422 ideals in 7 passes Sun Jan 11 03:28:53 2015 max relations containing the same ideal: 59 Sun Jan 11 03:28:53 2015 relations with 0 large ideals: 810 Sun Jan 11 03:28:53 2015 relations with 1 large ideals: 10439 Sun Jan 11 03:28:53 2015 relations with 2 large ideals: 65714 Sun Jan 11 03:28:53 2015 relations with 3 large ideals: 212939 Sun Jan 11 03:28:53 2015 relations with 4 large ideals: 385419 Sun Jan 11 03:28:53 2015 relations with 5 large ideals: 413328 Sun Jan 11 03:28:53 2015 relations with 6 large ideals: 269284 Sun Jan 11 03:28:53 2015 relations with 7+ large ideals: 136680 Sun Jan 11 03:28:53 2015 commencing 2-way merge Sun Jan 11 03:28:54 2015 reduce to 846520 relation sets and 745329 unique ideals Sun Jan 11 03:28:54 2015 commencing full merge Sun Jan 11 03:28:59 2015 memory use: 80.7 MB Sun Jan 11 03:28:59 2015 found 425173 cycles, need 411529 Sun Jan 11 03:28:59 2015 weight of 411529 cycles is about 28872151 (70.16/cycle) Sun Jan 11 03:28:59 2015 distribution of cycle lengths: Sun Jan 11 03:28:59 2015 1 relations: 43465 Sun Jan 11 03:28:59 2015 2 relations: 41848 Sun Jan 11 03:28:59 2015 3 relations: 43547 Sun Jan 11 03:28:59 2015 4 relations: 41824 Sun Jan 11 03:28:59 2015 5 relations: 39105 Sun Jan 11 03:28:59 2015 6 relations: 35956 Sun Jan 11 03:28:59 2015 7 relations: 32142 Sun Jan 11 03:28:59 2015 8 relations: 28757 Sun Jan 11 03:28:59 2015 9 relations: 24368 Sun Jan 11 03:28:59 2015 10+ relations: 80517 Sun Jan 11 03:28:59 2015 heaviest cycle: 18 relations Sun Jan 11 03:28:59 2015 commencing cycle optimization Sun Jan 11 03:29:00 2015 start with 2483102 relations Sun Jan 11 03:29:02 2015 pruned 55253 relations Sun Jan 11 03:29:02 2015 memory use: 84.0 MB Sun Jan 11 03:29:02 2015 distribution of cycle lengths: Sun Jan 11 03:29:02 2015 1 relations: 43465 Sun Jan 11 03:29:02 2015 2 relations: 42758 Sun Jan 11 03:29:02 2015 3 relations: 44921 Sun Jan 11 03:29:02 2015 4 relations: 42880 Sun Jan 11 03:29:02 2015 5 relations: 40019 Sun Jan 11 03:29:02 2015 6 relations: 36677 Sun Jan 11 03:29:02 2015 7 relations: 32652 Sun Jan 11 03:29:02 2015 8 relations: 28965 Sun Jan 11 03:29:02 2015 9 relations: 24376 Sun Jan 11 03:29:02 2015 10+ relations: 74816 Sun Jan 11 03:29:02 2015 heaviest cycle: 18 relations Sun Jan 11 03:29:02 2015 RelProcTime: 113 Sun Jan 11 03:29:02 2015 Sun Jan 11 03:29:02 2015 commencing linear algebra Sun Jan 11 03:29:02 2015 read 411529 cycles Sun Jan 11 03:29:02 2015 cycles contain 1413204 unique relations Sun Jan 11 03:29:13 2015 read 1413204 relations Sun Jan 11 03:29:13 2015 using 20 quadratic characters above 134217278 Sun Jan 11 03:29:18 2015 building initial matrix Sun Jan 11 03:29:27 2015 memory use: 180.7 MB Sun Jan 11 03:29:27 2015 read 411529 cycles Sun Jan 11 03:29:27 2015 matrix is 411352 x 411529 (124.6 MB) with weight 39908350 (96.98/col) Sun Jan 11 03:29:27 2015 sparse part has weight 27717226 (67.35/col) Sun Jan 11 03:29:28 2015 filtering completed in 2 passes Sun Jan 11 03:29:28 2015 matrix is 410541 x 410722 (124.5 MB) with weight 39872124 (97.08/col) Sun Jan 11 03:29:28 2015 sparse part has weight 27705060 (67.45/col) Sun Jan 11 03:29:29 2015 matrix starts at (0, 0) Sun Jan 11 03:29:29 2015 matrix is 410541 x 410722 (124.5 MB) with weight 39872124 (97.08/col) Sun Jan 11 03:29:29 2015 sparse part has weight 27705060 (67.45/col) Sun Jan 11 03:29:29 2015 saving the first 48 matrix rows for later Sun Jan 11 03:29:29 2015 matrix includes 64 packed rows Sun Jan 11 03:29:29 2015 matrix is 410493 x 410722 (120.2 MB) with weight 31777049 (77.37/col) Sun Jan 11 03:29:29 2015 sparse part has weight 27404206 (66.72/col) Sun Jan 11 03:29:29 2015 using block size 65536 for processor cache size 8192 kB Sun Jan 11 03:29:30 2015 commencing Lanczos iteration (8 threads) Sun Jan 11 03:29:30 2015 memory use: 113.0 MB Sun Jan 11 03:29:38 2015 linear algebra at 3.0%, ETA 0h 4m Sun Jan 11 03:33:44 2015 lanczos halted after 6491 iterations (dim = 410491) Sun Jan 11 03:33:44 2015 recovered 29 nontrivial dependencies Sun Jan 11 03:33:44 2015 BLanczosTime: 282 Sun Jan 11 03:33:44 2015 Sun Jan 11 03:33:44 2015 commencing square root phase Sun Jan 11 03:33:44 2015 reading relations for dependency 1 Sun Jan 11 03:33:44 2015 read 205377 cycles Sun Jan 11 03:33:44 2015 cycles contain 707064 unique relations Sun Jan 11 03:33:53 2015 read 707064 relations Sun Jan 11 03:33:55 2015 multiplying 707064 relations Sun Jan 11 03:34:14 2015 multiply complete, coefficients have about 30.30 million bits Sun Jan 11 03:34:14 2015 initial square root is modulo 504344573 Sun Jan 11 03:34:42 2015 GCD is 1, no factor found Sun Jan 11 03:34:42 2015 reading relations for dependency 2 Sun Jan 11 03:34:42 2015 read 205338 cycles Sun Jan 11 03:34:42 2015 cycles contain 706156 unique relations Sun Jan 11 03:34:50 2015 read 706156 relations Sun Jan 11 03:34:52 2015 multiplying 706156 relations Sun Jan 11 03:35:12 2015 multiply complete, coefficients have about 30.27 million bits Sun Jan 11 03:35:12 2015 initial square root is modulo 491901049 Sun Jan 11 03:35:39 2015 sqrtTime: 115 -- n: 56649386989904074961359374441455355218460546676623552736768053834577881650307648149598685566704796548274501361393 skew: 82493.22 c0: -2030368975602730174907791200 c1: -1070950883864110031702940 c2: -7964992469289198611 c3: 505423357831004 c4: 386053722 c5: 4140 Y0: -6717981440813861548309 Y1: 145137366083 rlim: 3980000 alim: 3980000 lpbr: 27 lpba: 27 mfbr: 54 mfba: 54 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
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 10, 2015 12:12:00 UTC 2015 年 1 月 10 日 (土) 21 時 12 分 0 秒 (日本時間)
403e6110 / 2126Ignacio SantosJanuary 10, 2015 12:12:00 UTC 2015 年 1 月 10 日 (土) 21 時 12 分 0 秒 (日本時間)
4511e632 / 4437Ignacio SantosJanuary 10, 2015 12:12:00 UTC 2015 年 1 月 10 日 (土) 21 時 12 分 0 秒 (日本時間)

## 7×10166-5479

### c142

name 名前 Cyp February 27, 2015 19:15:55 UTC 2015 年 2 月 28 日 (土) 4 時 15 分 55 秒 (日本時間) `3141219591723830432288360991455518072947021793837060235584357188374830257490145431658777032248744744213510873963775621634390294663196181963937<142>` ```4525261514973653963456879805212891568268711785174531973179733<61> 694152057583818686280707989604118608674060063990662285333565653440242324857576989<81>``` ```02/27/15 13:58:52 v1.34.3, 02/27/15 13:58:52 v1.34.3, **************************** 02/27/15 13:58:52 v1.34.3, Starting factorization of 3141219591723830432288360991455518072947021793837060235584357188374830257490145431658777032248744744213510873963775621634390294663196181963937 02/27/15 13:58:52 v1.34.3, using pretesting plan: none 02/27/15 13:58:52 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 02/27/15 13:58:52 v1.34.3, **************************** 02/27/15 13:58:52 v1.34.3, nfs: commencing nfs on c142: 3141219591723830432288360991455518072947021793837060235584357188374830257490145431658777032248744744213510873963775621634390294663196181963937 02/27/15 13:58:52 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 02/27/15 13:58:52 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/27/15 14:02:45 v1.34.3, nfs: commencing lattice sieving with 8 threads [82 lines snipped] 02/27/15 19:38:10 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/27/15 19:42:06 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/27/15 19:46:02 v1.34.3, nfs: commencing msieve filtering 02/27/15 19:48:01 v1.34.3, nfs: commencing msieve linear algebra 02/27/15 20:14:38 v1.34.3, nfs: commencing msieve sqrt 02/27/15 20:15:54 v1.34.3, prp81 = 694152057583818686280707989604118608674060063990662285333565653440242324857576989 02/27/15 20:15:54 v1.34.3, prp61 = 4525261514973653963456879805212891568268711785174531973179733 02/27/15 20:15:54 v1.34.3, NFS elapsed time = 22621.7174 seconds. 02/27/15 20:15:54 v1.34.3, 02/27/15 20:15:54 v1.34.3, 02/27/15 20:15:54 v1.34.3, Total factoring time = 22621.7183 seconds -- Fri Feb 27 19:46:02 2015 Fri Feb 27 19:46:02 2015 commencing relation filtering Fri Feb 27 19:46:02 2015 estimated available RAM is 15987.3 MB Fri Feb 27 19:46:02 2015 commencing duplicate removal, pass 1 Fri Feb 27 19:46:29 2015 found 1511728 hash collisions in 10083771 relations Fri Feb 27 19:46:38 2015 added 366253 free relations Fri Feb 27 19:46:38 2015 commencing duplicate removal, pass 2 Fri Feb 27 19:46:46 2015 found 1128151 duplicates and 9321873 unique relations Fri Feb 27 19:46:46 2015 memory use: 41.3 MB Fri Feb 27 19:46:46 2015 reading ideals above 100000 Fri Feb 27 19:46:46 2015 commencing singleton removal, initial pass Fri Feb 27 19:47:27 2015 memory use: 344.5 MB Fri Feb 27 19:47:27 2015 reading all ideals from disk Fri Feb 27 19:47:27 2015 memory use: 338.1 MB Fri Feb 27 19:47:28 2015 keeping 10325606 ideals with weight <= 200, target excess is 49608 Fri Feb 27 19:47:28 2015 commencing in-memory singleton removal Fri Feb 27 19:47:29 2015 begin with 9321873 relations and 10325606 unique ideals Fri Feb 27 19:47:32 2015 reduce to 3834000 relations and 3628591 ideals in 16 passes Fri Feb 27 19:47:32 2015 max relations containing the same ideal: 112 Fri Feb 27 19:47:34 2015 removing 545820 relations and 471888 ideals in 73932 cliques Fri Feb 27 19:47:34 2015 commencing in-memory singleton removal Fri Feb 27 19:47:34 2015 begin with 3288180 relations and 3628591 unique ideals Fri Feb 27 19:47:35 2015 reduce to 3222181 relations and 3089101 ideals in 9 passes Fri Feb 27 19:47:35 2015 max relations containing the same ideal: 98 Fri Feb 27 19:47:36 2015 removing 418819 relations and 344887 ideals in 73932 cliques Fri Feb 27 19:47:36 2015 commencing in-memory singleton removal Fri Feb 27 19:47:36 2015 begin with 2803362 relations and 3089101 unique ideals Fri Feb 27 19:47:37 2015 reduce to 2757950 relations and 2697767 ideals in 10 passes Fri Feb 27 19:47:37 2015 max relations containing the same ideal: 87 Fri Feb 27 19:47:38 2015 relations with 0 large ideals: 1125 Fri Feb 27 19:47:38 2015 relations with 1 large ideals: 295 Fri Feb 27 19:47:38 2015 relations with 2 large ideals: 4354 Fri Feb 27 19:47:38 2015 relations with 3 large ideals: 38488 Fri Feb 27 19:47:38 2015 relations with 4 large ideals: 178914 Fri Feb 27 19:47:38 2015 relations with 5 large ideals: 479263 Fri Feb 27 19:47:38 2015 relations with 6 large ideals: 792137 Fri Feb 27 19:47:38 2015 relations with 7+ large ideals: 1263374 Fri Feb 27 19:47:38 2015 commencing 2-way merge Fri Feb 27 19:47:39 2015 reduce to 1640507 relation sets and 1580324 unique ideals Fri Feb 27 19:47:39 2015 commencing full merge Fri Feb 27 19:47:55 2015 memory use: 198.4 MB Fri Feb 27 19:47:55 2015 found 833921 cycles, need 824524 Fri Feb 27 19:47:55 2015 weight of 824524 cycles is about 57830682 (70.14/cycle) Fri Feb 27 19:47:55 2015 distribution of cycle lengths: Fri Feb 27 19:47:55 2015 1 relations: 103051 Fri Feb 27 19:47:55 2015 2 relations: 95857 Fri Feb 27 19:47:55 2015 3 relations: 92942 Fri Feb 27 19:47:55 2015 4 relations: 84007 Fri Feb 27 19:47:55 2015 5 relations: 77157 Fri Feb 27 19:47:55 2015 6 relations: 65832 Fri Feb 27 19:47:55 2015 7 relations: 57825 Fri Feb 27 19:47:55 2015 8 relations: 49957 Fri Feb 27 19:47:55 2015 9 relations: 42125 Fri Feb 27 19:47:55 2015 10+ relations: 155771 Fri Feb 27 19:47:55 2015 heaviest cycle: 22 relations Fri Feb 27 19:47:55 2015 commencing cycle optimization Fri Feb 27 19:47:56 2015 start with 4850804 relations Fri Feb 27 19:48:00 2015 pruned 111938 relations Fri Feb 27 19:48:00 2015 memory use: 160.7 MB Fri Feb 27 19:48:00 2015 distribution of cycle lengths: Fri Feb 27 19:48:00 2015 1 relations: 103051 Fri Feb 27 19:48:00 2015 2 relations: 97830 Fri Feb 27 19:48:00 2015 3 relations: 95813 Fri Feb 27 19:48:00 2015 4 relations: 85933 Fri Feb 27 19:48:00 2015 5 relations: 78912 Fri Feb 27 19:48:00 2015 6 relations: 66737 Fri Feb 27 19:48:00 2015 7 relations: 58478 Fri Feb 27 19:48:00 2015 8 relations: 49966 Fri Feb 27 19:48:00 2015 9 relations: 41924 Fri Feb 27 19:48:00 2015 10+ relations: 145880 Fri Feb 27 19:48:00 2015 heaviest cycle: 22 relations Fri Feb 27 19:48:01 2015 RelProcTime: 119 Fri Feb 27 19:48:01 2015 Fri Feb 27 19:48:01 2015 commencing linear algebra Fri Feb 27 19:48:01 2015 read 824524 cycles Fri Feb 27 19:48:02 2015 cycles contain 2685949 unique relations Fri Feb 27 19:48:14 2015 read 2685949 relations Fri Feb 27 19:48:16 2015 using 20 quadratic characters above 134214672 Fri Feb 27 19:48:24 2015 building initial matrix Fri Feb 27 19:48:38 2015 memory use: 330.7 MB Fri Feb 27 19:48:39 2015 read 824524 cycles Fri Feb 27 19:48:39 2015 matrix is 824345 x 824524 (246.8 MB) with weight 72819909 (88.32/col) Fri Feb 27 19:48:39 2015 sparse part has weight 55616308 (67.45/col) Fri Feb 27 19:48:43 2015 filtering completed in 2 passes Fri Feb 27 19:48:43 2015 matrix is 823500 x 823679 (246.7 MB) with weight 72790721 (88.37/col) Fri Feb 27 19:48:43 2015 sparse part has weight 55605410 (67.51/col) Fri Feb 27 19:48:45 2015 matrix starts at (0, 0) Fri Feb 27 19:48:45 2015 matrix is 823500 x 823679 (246.7 MB) with weight 72790721 (88.37/col) Fri Feb 27 19:48:45 2015 sparse part has weight 55605410 (67.51/col) Fri Feb 27 19:48:45 2015 saving the first 48 matrix rows for later Fri Feb 27 19:48:45 2015 matrix includes 64 packed rows Fri Feb 27 19:48:45 2015 matrix is 823452 x 823679 (232.3 MB) with weight 57538183 (69.86/col) Fri Feb 27 19:48:45 2015 sparse part has weight 52662863 (63.94/col) Fri Feb 27 19:48:45 2015 using block size 65536 for processor cache size 8192 kB Fri Feb 27 19:48:47 2015 commencing Lanczos iteration (8 threads) Fri Feb 27 19:48:47 2015 memory use: 226.3 MB Fri Feb 27 19:48:53 2015 linear algebra at 0.4%, ETA 0h27m Fri Feb 27 20:14:38 2015 lanczos halted after 13025 iterations (dim = 823450) Fri Feb 27 20:14:38 2015 recovered 37 nontrivial dependencies Fri Feb 27 20:14:38 2015 BLanczosTime: 1597 Fri Feb 27 20:14:38 2015 Fri Feb 27 20:14:38 2015 commencing square root phase Fri Feb 27 20:14:38 2015 reading relations for dependency 1 Fri Feb 27 20:14:38 2015 read 412127 cycles Fri Feb 27 20:14:39 2015 cycles contain 1343428 unique relations Fri Feb 27 20:14:48 2015 read 1343428 relations Fri Feb 27 20:14:51 2015 multiplying 1343428 relations Fri Feb 27 20:15:19 2015 multiply complete, coefficients have about 37.80 million bits Fri Feb 27 20:15:19 2015 initial square root is modulo 267581 Fri Feb 27 20:15:53 2015 sqrtTime: 75 -- n: 3141219591723830432288360991455518072947021793837060235584357188374830257490145431658777032248744744213510873963775621634390294663196181963937 m: 1000000000000000000000000000000000 deg: 5 c5: 70 c0: -547 skew: 1.51 # Murphy_E = 2.374e-10 type: snfs lss: 1 rlim: 4200000 alim: 4200000 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 00:04:18 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 18 秒 (日本時間)
2350Ignacio SantosFebruary 22, 2015 10:04:28 UTC 2015 年 2 月 22 日 (日) 19 時 4 分 28 秒 (日本時間)

## 7×10168-5479

### c130

name 名前 Serge Batalov January 8, 2015 23:05:38 UTC 2015 年 1 月 9 日 (金) 8 時 5 分 38 秒 (日本時間) `1057146151850995924529353762369335312752585084075511942859080370068592440365416186176040228917578459504241539410031111355606836777<130>` ```108351862830225036861626414151773803<36> 9756603386758775941601076431004312018385161211060625361241775538865596389398869817726796380859<94>``` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2961374305 Step 1 took 7871ms Step 2 took 6866ms ********** Factor found in step 2: 108351862830225036861626414151773803 Found probable prime factor of 36 digits: 108351862830225036861626414151773803 Probable prime cofactor ```

### 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)

## 7×10169-5479

### c159

name 名前 Jo Yeong Uk April 1, 2015 12:41:36 UTC 2015 年 4 月 1 日 (水) 21 時 41 分 36 秒 (日本時間) `118285129276487709762509074567519109493553194878124486906098274298642223655107020750075792351131260616605009050019497844514159373478449700393020734851796641197<159>` ```4911442289672470389155278135029003732073<40> 954839334261563254714018524304062769093880273616027575417<57> 25222655151507334008222981506967474568213184249608602591512717<62>``` ```GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM] Input number is 118285129276487709762509074567519109493553194878124486906098274298642223655107020750075792351131260616605009050019497844514159373478449700393020734851796641197 (159 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3891734450 Step 1 took 29457ms ********** Factor found in step 1: 4911442289672470389155278135029003732073 Found probable prime factor of 40 digits: 4911442289672470389155278135029003732073 Composite cofactor 24083583253174251674484746483972338949912572126918229707583614829160188779259195099854173255432574340606822915832077989 has 119 digits Number: 77717_169 N=24083583253174251674484746483972338949912572126918229707583614829160188779259195099854173255432574340606822915832077989 ( 119 digits) Divisors found: r1=954839334261563254714018524304062769093880273616027575417 r2=25222655151507334008222981506967474568213184249608602591512717 Version: Total time: 17.45 hours. Scaled time: 91.60 units (timescale=5.248). Factorization parameters were as follows: name: 77717_169 n: 24083583253174251674484746483972338949912572126918229707583614829160188779259195099854173255432574340606822915832077989 skew: 98833.95 # norm 1.13e+16 c5: 13560 c4: -2315274206 c3: -291769140510533 c2: 19431905998487915292 c1: 670551232153149222094724 c0: -42169607954710085419809661360 # alpha -5.53 Y1: 8454342454427 Y0: -70777310285879514445197 # Murphy_E 3.35e-10 # M 18104343593256064279508983850320348873775708230865145580693973407070465981795509085051274605022679430626094845868188941 type: gnfs rlim: 4000000 alim: 4000000 lpbr: 27 lpba: 27 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 4000000/4000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 54/54 Sieved algebraic special-q in [2000000, 3900001) Primes: rational ideals reading, algebraic ideals reading, Relations: 10813386 Max relations in full relation-set: Initial matrix: Pruned matrix : 670561 x 670809 Polynomial selection time: 2.27 hours. Total sieving time: 14.05 hours. Total relation processing time: 0.49 hours. Matrix solve time: 0.43 hours. Time per square root: 0.22 hours. Prototype def-par.txt line would be: gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4000000,4000000,27,27,54,54,2.5,2.5,100000 total time: 17.45 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).``` `GMP-ECM v6.4.4 / 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)
403e62650300Serge BatalovJanuary 9, 2015 00:04:19 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 19 秒 (日本時間)
2350Ignacio SantosFebruary 13, 2015 22:24:24 UTC 2015 年 2 月 14 日 (土) 7 時 24 分 24 秒 (日本時間)

## 7×10170-5479

### c150

name 名前 Jo Yeong Uk April 10, 2015 11:44:18 UTC 2015 年 4 月 10 日 (金) 20 時 44 分 18 秒 (日本時間) `328266727383815009828167098398713306295841617811426069329346686277692934570038881866856305383833816837192273152306125635457010154534862811355015174781<150>` ```615666775407403578863718927267162609161993037222833<51> 533188959509130437505783608920963660160684783570888501249190854064308870777743499163926981441430157<99>``` ```Number: 77717_170 N=328266727383815009828167098398713306295841617811426069329346686277692934570038881866856305383833816837192273152306125635457010154534862811355015174781 ( 150 digits) SNFS difficulty: 170 digits. Divisors found: r1=615666775407403578863718927267162609161993037222833 r2=533188959509130437505783608920963660160684783570888501249190854064308870777743499163926981441430157 Version: Total time: 20.69 hours. Scaled time: 107.72 units (timescale=5.206). Factorization parameters were as follows: n: 328266727383815009828167098398713306295841617811426069329346686277692934570038881866856305383833816837192273152306125635457010154534862811355015174781 m: 10000000000000000000000000000000000 deg: 5 c5: 7 c0: -547 skew: 2.39 # Murphy_E = 2.229e-10 type: snfs lss: 1 rlim: 5800000 alim: 5800000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5800000/5800000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved rational special-q in [2900000, 5600001) Primes: rational ideals reading, algebraic ideals reading, Relations: 10973490 Max relations in full relation-set: Initial matrix: Pruned matrix : 964830 x 965078 Total sieving time: 18.91 hours. Total relation processing time: 0.73 hours. Matrix solve time: 0.94 hours. Time per square root: 0.11 hours. Prototype def-par.txt line would be: snfs,170,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,52,52,2.4,2.4,100000 total time: 20.69 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)
403e6301300Serge BatalovJanuary 9, 2015 00:04:19 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 19 秒 (日本時間)
1CypJanuary 9, 2015 00:11:34 UTC 2015 年 1 月 9 日 (金) 9 時 11 分 34 秒 (日本時間)
4511e6585 / 4409CypFebruary 10, 2015 17:51:47 UTC 2015 年 2 月 11 日 (水) 2 時 51 分 47 秒 (日本時間)

## 7×10172-5479

### c164

name 名前 Cyp April 14, 2015 18:52:42 UTC 2015 年 4 月 15 日 (水) 3 時 52 分 42 秒 (日本時間) `55213284853324343096137684724809585767055067595136104300532705423248631508564793989875560464237432155502954174580278330026968589819285033535772290115198504051891193<164>` ```13812448507398044148829159254708505904238725029156700382421<59> 3997356791864362141969473478385337591263366285673967036383006796654401425256995945925535893027250903645333<106>``` ```04/14/15 08:05:11 v1.34.3, 04/14/15 08:05:11 v1.34.3, **************************** 04/14/15 08:05:11 v1.34.3, Starting factorization of 55213284853324343096137684724809585767055067595136104300532705423248631508564793989875560464237432155502954174580278330026968589819285033535772290115198504051891193 04/14/15 08:05:11 v1.34.3, using pretesting plan: none 04/14/15 08:05:11 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 04/14/15 08:05:11 v1.34.3, **************************** 04/14/15 08:05:11 v1.34.3, nfs: commencing nfs on c164: 55213284853324343096137684724809585767055067595136104300532705423248631508564793989875560464237432155502954174580278330026968589819285033535772290115198504051891193 04/14/15 08:05:11 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 04/14/15 08:05:11 v1.34.3, nfs: commencing lattice sieving with 8 threads 04/14/15 08:10:03 v1.34.3, nfs: commencing lattice sieving with 8 threads [85 lines snipped] 04/14/15 15:17:54 v1.34.3, nfs: commencing lattice sieving with 8 threads 04/14/15 15:22:56 v1.34.3, nfs: commencing lattice sieving with 8 threads 04/14/15 18:50:18 v1.34.3, 04/14/15 18:50:18 v1.34.3, **************************** 04/14/15 18:50:18 v1.34.3, Starting factorization of 55213284853324343096137684724809585767055067595136104300532705423248631508564793989875560464237432155502954174580278330026968589819285033535772290115198504051891193 04/14/15 18:50:18 v1.34.3, using pretesting plan: none 04/14/15 18:50:18 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 04/14/15 18:50:18 v1.34.3, **************************** 04/14/15 18:50:18 v1.34.3, nfs: previous data file found - commencing search for last special-q 04/14/15 18:50:25 v1.34.3, nfs: parsing special-q from .dat file 04/14/15 18:50:25 v1.34.3, nfs: commencing nfs on c164: 55213284853324343096137684724809585767055067595136104300532705423248631508564793989875560464237432155502954174580278330026968589819285033535772290115198504051891193 04/14/15 18:50:25 v1.34.3, nfs: resuming with filtering 04/14/15 18:50:25 v1.34.3, nfs: commencing lattice sieving with 8 threads 04/14/15 18:55:30 v1.34.3, nfs: commencing lattice sieving with 8 threads 04/14/15 19:00:46 v1.34.3, nfs: commencing lattice sieving with 8 threads 04/14/15 19:05:51 v1.34.3, nfs: commencing lattice sieving with 8 threads 04/14/15 19:10:39 v1.34.3, nfs: commencing msieve filtering 04/14/15 19:12:17 v1.34.3, nfs: commencing lattice sieving with 8 threads 04/14/15 19:17:18 v1.34.3, nfs: commencing lattice sieving with 8 threads [2 lines snipped] 04/14/15 19:32:25 v1.34.3, nfs: commencing lattice sieving with 8 threads 04/14/15 19:37:29 v1.34.3, nfs: commencing lattice sieving with 8 threads 04/14/15 19:42:39 v1.34.3, nfs: commencing msieve filtering 04/14/15 19:44:24 v1.34.3, nfs: commencing lattice sieving with 8 threads 04/14/15 19:49:21 v1.34.3, nfs: commencing lattice sieving with 8 threads [2 lines snipped] 04/14/15 20:04:24 v1.34.3, nfs: commencing lattice sieving with 8 threads 04/14/15 20:09:19 v1.34.3, nfs: commencing lattice sieving with 8 threads 04/14/15 20:14:21 v1.34.3, nfs: commencing msieve filtering 04/14/15 20:16:42 v1.34.3, nfs: commencing msieve linear algebra 04/14/15 20:50:50 v1.34.3, nfs: commencing msieve sqrt 04/14/15 20:52:41 v1.34.3, prp106 = 3997356791864362141969473478385337591263366285673967036383006796654401425256995945925535893027250903645333 04/14/15 20:52:41 v1.34.3, prp59 = 13812448507398044148829159254708505904238725029156700382421 04/14/15 20:52:41 v1.34.3, NFS elapsed time = 7342.9561 seconds. 04/14/15 20:52:41 v1.34.3, 04/14/15 20:52:41 v1.34.3, 04/14/15 20:52:41 v1.34.3, Total factoring time = 7342.9572 seconds -- Tue Apr 14 19:10:39 2015 Tue Apr 14 19:10:39 2015 commencing relation filtering Tue Apr 14 19:10:39 2015 estimated available RAM is 15987.3 MB Tue Apr 14 19:10:39 2015 commencing duplicate removal, pass 1 Tue Apr 14 19:11:09 2015 found 1475054 hash collisions in 10070518 relations Tue Apr 14 19:11:19 2015 added 370245 free relations Tue Apr 14 19:11:19 2015 commencing duplicate removal, pass 2 Tue Apr 14 19:11:28 2015 found 1082451 duplicates and 9358312 unique relations Tue Apr 14 19:11:28 2015 memory use: 41.3 MB Tue Apr 14 19:11:28 2015 reading ideals above 100000 Tue Apr 14 19:11:28 2015 commencing singleton removal, initial pass Tue Apr 14 19:12:11 2015 memory use: 344.5 MB Tue Apr 14 19:12:11 2015 reading all ideals from disk Tue Apr 14 19:12:11 2015 memory use: 344.5 MB Tue Apr 14 19:12:12 2015 keeping 10901326 ideals with weight <= 200, target excess is 48614 Tue Apr 14 19:12:12 2015 commencing in-memory singleton removal Tue Apr 14 19:12:13 2015 begin with 9358312 relations and 10901326 unique ideals Tue Apr 14 19:12:17 2015 reduce to 3105786 relations and 3294941 ideals in 23 passes Tue Apr 14 19:12:17 2015 max relations containing the same ideal: 96 Tue Apr 14 19:42:39 2015 Tue Apr 14 19:42:39 2015 commencing relation filtering Tue Apr 14 19:42:39 2015 estimated available RAM is 15987.3 MB Tue Apr 14 19:42:39 2015 commencing duplicate removal, pass 1 Tue Apr 14 19:43:13 2015 found 1661422 hash collisions in 11028280 relations Tue Apr 14 19:43:23 2015 added 1274 free relations Tue Apr 14 19:43:23 2015 commencing duplicate removal, pass 2 Tue Apr 14 19:43:32 2015 found 1193744 duplicates and 9835810 unique relations Tue Apr 14 19:43:32 2015 memory use: 41.3 MB Tue Apr 14 19:43:32 2015 reading ideals above 100000 Tue Apr 14 19:43:32 2015 commencing singleton removal, initial pass Tue Apr 14 19:44:17 2015 memory use: 344.5 MB Tue Apr 14 19:44:17 2015 reading all ideals from disk Tue Apr 14 19:44:18 2015 memory use: 362.3 MB Tue Apr 14 19:44:18 2015 keeping 11089816 ideals with weight <= 200, target excess is 51372 Tue Apr 14 19:44:19 2015 commencing in-memory singleton removal Tue Apr 14 19:44:19 2015 begin with 9835810 relations and 11089816 unique ideals Tue Apr 14 19:44:23 2015 reduce to 3810477 relations and 3828104 ideals in 21 passes Tue Apr 14 19:44:23 2015 max relations containing the same ideal: 114 Tue Apr 14 20:14:21 2015 Tue Apr 14 20:14:21 2015 commencing relation filtering Tue Apr 14 20:14:21 2015 estimated available RAM is 15987.3 MB Tue Apr 14 20:14:21 2015 commencing duplicate removal, pass 1 Tue Apr 14 20:14:57 2015 found 1809406 hash collisions in 11607210 relations Tue Apr 14 20:15:06 2015 added 1065 free relations Tue Apr 14 20:15:06 2015 commencing duplicate removal, pass 2 Tue Apr 14 20:15:16 2015 found 1306230 duplicates and 10302045 unique relations Tue Apr 14 20:15:16 2015 memory use: 45.3 MB Tue Apr 14 20:15:16 2015 reading ideals above 720000 Tue Apr 14 20:15:16 2015 commencing singleton removal, initial pass Tue Apr 14 20:16:00 2015 memory use: 344.5 MB Tue Apr 14 20:16:01 2015 reading all ideals from disk Tue Apr 14 20:16:01 2015 memory use: 306.1 MB Tue Apr 14 20:16:01 2015 keeping 11201127 ideals with weight <= 200, target excess is 116018 Tue Apr 14 20:16:02 2015 commencing in-memory singleton removal Tue Apr 14 20:16:02 2015 begin with 10302045 relations and 11201127 unique ideals Tue Apr 14 20:16:06 2015 reduce to 4470775 relations and 4234938 ideals in 17 passes Tue Apr 14 20:16:06 2015 max relations containing the same ideal: 74 Tue Apr 14 20:16:07 2015 removing 472395 relations and 421767 ideals in 50628 cliques Tue Apr 14 20:16:07 2015 commencing in-memory singleton removal Tue Apr 14 20:16:08 2015 begin with 3998380 relations and 4234938 unique ideals Tue Apr 14 20:16:09 2015 reduce to 3954087 relations and 3768149 ideals in 10 passes Tue Apr 14 20:16:09 2015 max relations containing the same ideal: 70 Tue Apr 14 20:16:10 2015 removing 351163 relations and 300535 ideals in 50628 cliques Tue Apr 14 20:16:10 2015 commencing in-memory singleton removal Tue Apr 14 20:16:10 2015 begin with 3602924 relations and 3768149 unique ideals Tue Apr 14 20:16:12 2015 reduce to 3575848 relations and 3440155 ideals in 9 passes Tue Apr 14 20:16:12 2015 max relations containing the same ideal: 67 Tue Apr 14 20:16:13 2015 relations with 0 large ideals: 2885 Tue Apr 14 20:16:13 2015 relations with 1 large ideals: 2106 Tue Apr 14 20:16:13 2015 relations with 2 large ideals: 29795 Tue Apr 14 20:16:13 2015 relations with 3 large ideals: 173519 Tue Apr 14 20:16:13 2015 relations with 4 large ideals: 540812 Tue Apr 14 20:16:13 2015 relations with 5 large ideals: 960362 Tue Apr 14 20:16:13 2015 relations with 6 large ideals: 1025510 Tue Apr 14 20:16:13 2015 relations with 7+ large ideals: 840859 Tue Apr 14 20:16:13 2015 commencing 2-way merge Tue Apr 14 20:16:14 2015 reduce to 2125807 relation sets and 1990115 unique ideals Tue Apr 14 20:16:14 2015 ignored 1 oversize relation sets Tue Apr 14 20:16:14 2015 commencing full merge Tue Apr 14 20:16:34 2015 memory use: 236.2 MB Tue Apr 14 20:16:34 2015 found 1071973 cycles, need 1054315 Tue Apr 14 20:16:34 2015 weight of 1054315 cycles is about 73863468 (70.06/cycle) Tue Apr 14 20:16:34 2015 distribution of cycle lengths: Tue Apr 14 20:16:34 2015 1 relations: 143098 Tue Apr 14 20:16:34 2015 2 relations: 126749 Tue Apr 14 20:16:34 2015 3 relations: 120483 Tue Apr 14 20:16:34 2015 4 relations: 106549 Tue Apr 14 20:16:34 2015 5 relations: 95019 Tue Apr 14 20:16:34 2015 6 relations: 80736 Tue Apr 14 20:16:34 2015 7 relations: 69878 Tue Apr 14 20:16:34 2015 8 relations: 59629 Tue Apr 14 20:16:34 2015 9 relations: 50548 Tue Apr 14 20:16:34 2015 10+ relations: 201626 Tue Apr 14 20:16:34 2015 heaviest cycle: 22 relations Tue Apr 14 20:16:35 2015 commencing cycle optimization Tue Apr 14 20:16:36 2015 start with 6152930 relations Tue Apr 14 20:16:41 2015 pruned 142424 relations Tue Apr 14 20:16:41 2015 memory use: 204.7 MB Tue Apr 14 20:16:41 2015 distribution of cycle lengths: Tue Apr 14 20:16:41 2015 1 relations: 143098 Tue Apr 14 20:16:41 2015 2 relations: 129406 Tue Apr 14 20:16:41 2015 3 relations: 124478 Tue Apr 14 20:16:41 2015 4 relations: 108953 Tue Apr 14 20:16:41 2015 5 relations: 96993 Tue Apr 14 20:16:41 2015 6 relations: 81653 Tue Apr 14 20:16:41 2015 7 relations: 70544 Tue Apr 14 20:16:41 2015 8 relations: 59407 Tue Apr 14 20:16:41 2015 9 relations: 50300 Tue Apr 14 20:16:41 2015 10+ relations: 189483 Tue Apr 14 20:16:41 2015 heaviest cycle: 22 relations Tue Apr 14 20:16:42 2015 RelProcTime: 141 Tue Apr 14 20:16:42 2015 Tue Apr 14 20:16:42 2015 commencing linear algebra Tue Apr 14 20:16:42 2015 read 1054315 cycles Tue Apr 14 20:16:43 2015 cycles contain 3441411 unique relations Tue Apr 14 20:16:59 2015 read 3441411 relations Tue Apr 14 20:17:01 2015 using 20 quadratic characters above 134217278 Tue Apr 14 20:17:12 2015 building initial matrix Tue Apr 14 20:17:31 2015 memory use: 416.2 MB Tue Apr 14 20:17:31 2015 read 1054315 cycles Tue Apr 14 20:17:31 2015 matrix is 1054134 x 1054315 (315.5 MB) with weight 93072674 (88.28/col) Tue Apr 14 20:17:31 2015 sparse part has weight 71108859 (67.45/col) Tue Apr 14 20:17:37 2015 filtering completed in 2 passes Tue Apr 14 20:17:37 2015 matrix is 1052040 x 1052220 (315.3 MB) with weight 92996633 (88.38/col) Tue Apr 14 20:17:37 2015 sparse part has weight 71078378 (67.55/col) Tue Apr 14 20:17:40 2015 matrix starts at (0, 0) Tue Apr 14 20:17:40 2015 matrix is 1052040 x 1052220 (315.3 MB) with weight 92996633 (88.38/col) Tue Apr 14 20:17:40 2015 sparse part has weight 71078378 (67.55/col) Tue Apr 14 20:17:40 2015 saving the first 48 matrix rows for later Tue Apr 14 20:17:40 2015 matrix includes 64 packed rows Tue Apr 14 20:17:40 2015 matrix is 1051992 x 1052220 (298.6 MB) with weight 74554481 (70.85/col) Tue Apr 14 20:17:40 2015 sparse part has weight 67755743 (64.39/col) Tue Apr 14 20:17:40 2015 using block size 65536 for processor cache size 8192 kB Tue Apr 14 20:17:43 2015 commencing Lanczos iteration (8 threads) Tue Apr 14 20:17:43 2015 memory use: 291.4 MB Tue Apr 14 20:17:46 2015 linear algebra at 0.1%, ETA 0h34m Tue Apr 14 20:17:46 2015 checkpointing every 2430000 dimensions Tue Apr 14 20:50:49 2015 lanczos halted after 16638 iterations (dim = 1051988) Tue Apr 14 20:50:50 2015 recovered 36 nontrivial dependencies Tue Apr 14 20:50:50 2015 BLanczosTime: 2048 Tue Apr 14 20:50:50 2015 Tue Apr 14 20:50:50 2015 commencing square root phase Tue Apr 14 20:50:50 2015 reading relations for dependency 1 Tue Apr 14 20:50:50 2015 read 525406 cycles Tue Apr 14 20:50:50 2015 cycles contain 1718040 unique relations Tue Apr 14 20:51:02 2015 read 1718040 relations Tue Apr 14 20:51:06 2015 multiplying 1718040 relations Tue Apr 14 20:51:49 2015 multiply complete, coefficients have about 53.88 million bits Tue Apr 14 20:51:49 2015 initial square root is modulo 54410201 Tue Apr 14 20:52:41 2015 sqrtTime: 111 -- n: 55213284853324343096137684724809585767055067595136104300532705423248631508564793989875560464237432155502954174580278330026968589819285033535772290115198504051891193 m: 10000000000000000000000000000000000 deg: 5 c5: 700 c0: -547 skew: 0.95 # Murphy_E = 1.358e-10 type: snfs lss: 1 rlim: 5300000 alim: 5300000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 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 00:04:20 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 20 秒 (日本時間)
2350Ignacio SantosFebruary 28, 2015 17:17:41 UTC 2015 年 3 月 1 日 (日) 2 時 17 分 41 秒 (日本時間)

## 7×10173-5479

### c144

name 名前 Jo Yeong Uk August 14, 2015 23:33:58 UTC 2015 年 8 月 15 日 (土) 8 時 33 分 58 秒 (日本時間) `120321740822143837730453264128397339001686442119555107881334575090865209473536914532441584905408756486079796810890628810545104220618191562310223<144>` ```5561224087556233267537806337372827373847375056976741133978520147<64> 21635837529254602957997811339171158232343853869484948360638323487160739909058709<80>``` ```Number: 77717_173 N=120321740822143837730453264128397339001686442119555107881334575090865209473536914532441584905408756486079796810890628810545104220618191562310223 ( 144 digits) SNFS difficulty: 174 digits. Divisors found: r1=5561224087556233267537806337372827373847375056976741133978520147 r2=21635837529254602957997811339171158232343853869484948360638323487160739909058709 Version: Total time: 43.62 hours. Scaled time: 229.07 units (timescale=5.252). Factorization parameters were as follows: n: 120321740822143837730453264128397339001686442119555107881334575090865209473536914532441584905408756486079796810890628810545104220618191562310223 m: 20000000000000000000000000000000000 deg: 5 c5: 875 c0: -2188 skew: 1.20 # Murphy_E = 1.016e-10 type: snfs lss: 1 rlim: 7200000 alim: 7200000 lpbr: 28 lpba: 28 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 7200000/7200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 52/52 Sieved rational special-q in [3600000, 8900001) Primes: rational ideals reading, algebraic ideals reading, Relations: 16994216 Max relations in full relation-set: Initial matrix: Pruned matrix : 1279605 x 1279853 Total sieving time: 39.51 hours. Total relation processing time: 2.21 hours. Matrix solve time: 1.81 hours. Time per square root: 0.09 hours. Prototype def-par.txt line would be: snfs,174,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,52,52,2.4,2.4,100000 total time: 43.62 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.. 6799.89 BogoMIPS (lpj=3399945) Total of 12 processors activated (81598.68 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)
403e62651300Serge BatalovJanuary 9, 2015 00:04:20 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 20 秒 (日本時間)
1CypJanuary 9, 2015 01:03:39 UTC 2015 年 1 月 9 日 (金) 10 時 3 分 39 秒 (日本時間)
2350Ignacio SantosMarch 2, 2015 20:20:53 UTC 2015 年 3 月 3 日 (火) 5 時 20 分 53 秒 (日本時間)

## 7×10175-5479

### c129

name 名前 Jo Yeong Uk May 20, 2015 12:33:45 UTC 2015 年 5 月 20 日 (水) 21 時 33 分 45 秒 (日本時間) `655185777338775510504968679061326689089963133747248465700185858516515486904898649081811956390244351336463201046312769123089809261<129>` ```1310654521414833302194215517521391099457677684849039667<55> 499892051363399401952125345580926623200193197122767903258745923004125250783<75>``` ```Number: 77717_175 N=655185777338775510504968679061326689089963133747248465700185858516515486904898649081811956390244351336463201046312769123089809261 ( 129 digits) SNFS difficulty: 175 digits. Divisors found: r1=1310654521414833302194215517521391099457677684849039667 r2=499892051363399401952125345580926623200193197122767903258745923004125250783 Version: Total time: 31.41 hours. Scaled time: 160.28 units (timescale=5.103). Factorization parameters were as follows: n: 655185777338775510504968679061326689089963133747248465700185858516515486904898649081811956390244351336463201046312769123089809261 m: 100000000000000000000000000000000000 deg: 5 c5: 7 c0: -547 skew: 2.39 # Murphy_E = 1.409e-10 type: snfs lss: 1 rlim: 7400000 alim: 7400000 lpbr: 28 lpba: 28 mfbr: 52 mfba: 52 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: 52/52 Sieved rational special-q in [3700000, 7300001) Primes: rational ideals reading, algebraic ideals reading, Relations: 16103124 Max relations in full relation-set: Initial matrix: Pruned matrix : 1226725 x 1226973 Total sieving time: 27.98 hours. Total relation processing time: 1.42 hours. Matrix solve time: 1.64 hours. Time per square root: 0.37 hours. Prototype def-par.txt line would be: snfs,175,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,52,52,2.5,2.5,100000 total time: 31.41 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.. 6799.77 BogoMIPS (lpj=3399888) Total of 12 processors activated (81597.31 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 00:04:21 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 21 秒 (日本時間)
4511e61014 / 4409Pierre JammesFebruary 1, 2015 08:34:00 UTC 2015 年 2 月 1 日 (日) 17 時 34 分 0 秒 (日本時間)

## 7×10178-5479

### c170

name 名前 Jo Yeong Uk November 16, 2015 11:33:08 UTC 2015 年 11 月 16 日 (月) 20 時 33 分 8 秒 (日本時間) `15734658675142319487579297248455713888413190820492648714980647784824951518757437097408344886613236454734168542098054671841491102104354217771138138439909451022441009144519<170>` ```27125597399367800649995843605385109136708578943<47> 580066807137270176619611179565854632942877504856540356282607457603141945985749683784481867117028023278594818017043283195833<123>``` ```Number: 77717_178 N=15734658675142319487579297248455713888413190820492648714980647784824951518757437097408344886613236454734168542098054671841491102104354217771138138439909451022441009144519 ( 170 digits) SNFS difficulty: 179 digits. Divisors found: r1=27125597399367800649995843605385109136708578943 r2=580066807137270176619611179565854632942877504856540356282607457603141945985749683784481867117028023278594818017043283195833 Version: Total time: 70.05 hours. Scaled time: 363.40 units (timescale=5.188). Factorization parameters were as follows: n: 15734658675142319487579297248455713888413190820492648714980647784824951518757437097408344886613236454734168542098054671841491102104354217771138138439909451022441009144519 m: 200000000000000000000000000000000000 deg: 5 c5: 875 c0: -2188 skew: 1.20 # Murphy_E = 6.416e-11 type: snfs lss: 1 rlim: 10000000 alim: 10000000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 10000000/10000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [5000000, 12100001) Primes: rational ideals reading, algebraic ideals reading, Relations: 19565680 Max relations in full relation-set: Initial matrix: Pruned matrix : 1684987 x 1685235 Total sieving time: 62.53 hours. Total relation processing time: 3.62 hours. Matrix solve time: 3.75 hours. Time per square root: 0.14 hours. Prototype def-par.txt line would be: snfs,179,5,0,0,0,0,0,0,0,0,10000000,10000000,28,28,53,53,2.5,2.5,100000 total time: 70.05 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 00:04:22 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 22 秒 (日本時間)
4511e61024 / 4409CypMay 2, 2015 14:40:51 UTC 2015 年 5 月 2 日 (土) 23 時 40 分 51 秒 (日本時間)

## 7×10179-5479

### c135

name 名前 Jo Yeong Uk December 11, 2015 18:52:11 UTC 2015 年 12 月 12 日 (土) 3 時 52 分 11 秒 (日本時間) `228964569508522511464296121313021424972008900104926665201640984203836049710274655277644571550559531598913095755615393146206805886652633<135>` ```6985747283203964646130463583715919085171069545615833<52> 32775959425132467177250240218255634207954289393437471017964802387389237050512889601<83>``` ```Number: 77717_179 N=228964569508522511464296121313021424972008900104926665201640984203836049710274655277644571550559531598913095755615393146206805886652633 ( 135 digits) SNFS difficulty: 180 digits. Divisors found: r1=6985747283203964646130463583715919085171069545615833 r2=32775959425132467177250240218255634207954289393437471017964802387389237050512889601 Version: Total time: 57.14 hours. Scaled time: 298.31 units (timescale=5.221). Factorization parameters were as follows: n: 228964569508522511464296121313021424972008900104926665201640984203836049710274655277644571550559531598913095755615393146206805886652633 m: 1000000000000000000000000000000000000 deg: 5 c5: 7 c0: -5470 skew: 3.79 # Murphy_E = 7.141e-11 type: snfs lss: 1 rlim: 5800000 alim: 5800000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 5800000/5800000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [2900000, 5600001) Primes: rational ideals reading, algebraic ideals reading, Relations: 17947879 Max relations in full relation-set: Initial matrix: Pruned matrix : 1398257 x 1398504 Total sieving time: 53.39 hours. Total relation processing time: 1.24 hours. Matrix solve time: 2.42 hours. Time per square root: 0.09 hours. Prototype def-par.txt line would be: snfs,180,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,53,53,2.5,2.5,100000 total time: 57.14 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)
403e6301300Serge BatalovJanuary 9, 2015 00:04:22 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 22 秒 (日本時間)
1CypJanuary 9, 2015 01:06:35 UTC 2015 年 1 月 9 日 (金) 10 時 6 分 35 秒 (日本時間)
4511e62869 / 4409615Pierre JammesMarch 13, 2015 09:39:06 UTC 2015 年 3 月 13 日 (金) 18 時 39 分 6 秒 (日本時間)
2254KTakahashiJuly 29, 2015 22:58:56 UTC 2015 年 7 月 30 日 (木) 7 時 58 分 56 秒 (日本時間)

## 7×10181-5479

### c171

name 名前 Jo Yeong Uk December 24, 2015 01:00:57 UTC 2015 年 12 月 24 日 (木) 10 時 0 分 57 秒 (日本時間) `260293826337741152710738358643035460462153024416206517257585623648326485067668512202537968386630835786285487835359243528219782808877389588961757215579482852175084478738671<171>` ```399664606131273538566418304299035946005664469371<48> 651280654690361138883739615890773330798407757297470191031944043606716680184384764683621641599353949831927728857511678198301<123>``` ```GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM] Input number is 260293826337741152710738358643035460462153024416206517257585623648326485067668512202537968386630835786285487835359243528219782808877389588961757215579482852175084478738671 (171 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3639997964 Step 1 took 29398ms Step 2 took 10038ms ********** Factor found in step 2: 399664606131273538566418304299035946005664469371 Found probable prime factor of 48 digits: 399664606131273538566418304299035946005664469371 Probable prime cofactor 651280654690361138883739615890773330798407757297470191031944043606716680184384764683621641599353949831927728857511678198301 has 123 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 00:04:23 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 23 秒 (日本時間)
4511e6600 / 4409KTakahashiMay 18, 2015 09:45:11 UTC 2015 年 5 月 18 日 (月) 18 時 45 分 11 秒 (日本時間)

## 7×10184-5479

### c143

name 名前 Jo Yeong Uk June 9, 2016 12:55:08 UTC 2016 年 6 月 9 日 (木) 21 時 55 分 8 秒 (日本時間) `52390588943761501642571368325795011757646177233790778594981246243437997110841919199542510289472733342536803129589259148593870042110168036854109<143>` ```35001451926742260723080550956902389493309690503468639848204964967<65> 1496811876644847643703927851469663173410902309630011257926155244855016348400027<79>``` ```Number: 77717_184 N=52390588943761501642571368325795011757646177233790778594981246243437997110841919199542510289472733342536803129589259148593870042110168036854109 ( 143 digits) SNFS difficulty: 185 digits. Divisors found: r1=35001451926742260723080550956902389493309690503468639848204964967 r2=1496811876644847643703927851469663173410902309630011257926155244855016348400027 Version: Total time: 83.28 hours. Scaled time: 437.80 units (timescale=5.257). Factorization parameters were as follows: n: 52390588943761501642571368325795011757646177233790778594981246243437997110841919199542510289472733342536803129589259148593870042110168036854109 m: 10000000000000000000000000000000000000 deg: 5 c5: 7 c0: -5470 skew: 3.79 # Murphy_E = 4.479e-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, 7500001) Primes: rational ideals reading, algebraic ideals reading, Relations: 20610749 Max relations in full relation-set: Initial matrix: Pruned matrix : 1639836 x 1640084 Total sieving time: 77.59 hours. Total relation processing time: 2.10 hours. Matrix solve time: 3.42 hours. Time per square root: 0.17 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: 83.28 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 00:04:23 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 23 秒 (日本時間)
4511e6600 / 4409KTakahashiMay 24, 2015 13:17:58 UTC 2015 年 5 月 24 日 (日) 22 時 17 分 58 秒 (日本時間)

## 7×10186-5479

### c184

name 名前 Cyp January 8, 2015 19:28:26 UTC 2015 年 1 月 9 日 (金) 4 時 28 分 26 秒 (日本時間) `9602194787379972565157750342935528120713305898491083676268861454046639231824417009602194787379972565157750342935528120713305898491083676268861454046639231824417009602194787379972565157<184>` `188845765187999991267606289078567<33>` `50846757287995220009453495256281065351397251004610964130030268200565345805672489682740785864621133176975033229766139064870283766257208168126815349970771<152>` ```Run 269 out of 281: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3660284619 Step 1 took 16112ms Step 2 took 5674ms ********** Factor found in step 2: 188845765187999991267606289078567 Found probable prime factor of 33 digits: 188845765187999991267606289078567 Composite cofactor 50846757287995220009453495256281065351397251004610964130030268200565345805672489682740785864621133176975033229766139064870283766257208168126815349970771 has 152 digits``` `GMP-ECM 6.4.4` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### c152

name 名前 Erik Branger January 20, 2017 07:40:16 UTC 2017 年 1 月 20 日 (金) 16 時 40 分 16 秒 (日本時間) `50846757287995220009453495256281065351397251004610964130030268200565345805672489682740785864621133176975033229766139064870283766257208168126815349970771<152>` ```39036708788419314261500290070535595407868809396530772479210948345909186681<74> 1302536993156541198728560492445545573987439026892769695958266778964241997998891<79>``` ```Number: 77717_186 N = 50846757287995220009453495256281065351397251004610964130030268200565345805672489682740785864621133176975033229766139064870283766257208168126815349970771 (152 digits) SNFS difficulty: 187 digits. Divisors found: r1=39036708788419314261500290070535595407868809396530772479210948345909186681 (pp74) r2=1302536993156541198728560492445545573987439026892769695958266778964241997998891 (pp79) Version: Msieve v. 1.51 (SVN 845) Total time: 215.55 hours. Factorization parameters were as follows: n: 50846757287995220009453495256281065351397251004610964130030268200565345805672489682740785864621133176975033229766139064870283766257208168126815349970771 m: 10000000000000000000000000000000000000 deg: 5 c5: 70 c0: -547 skew: 1.51 # Murphy_E = 3.751e-11 type: snfs lss: 1 rlim: 9100000 alim: 9100000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 9100000/9100000 Large primes per side: 3 Large prime bits: 28/28 Sieved rational special-q in [0, 0) Total raw relations: 23086571 Relations: 3057984 relations Pruned matrix : 1961576 x 1961802 Polynomial selection time: 0.00 hours. Total sieving time: 211.26 hours. Total relation processing time: 0.15 hours. Matrix solve time: 3.69 hours. time per square root: 0.45 hours. Prototype def-par.txt line would be: snfs,187,5,0,0,0,0,0,0,0,0,9100000,9100000,28,28,54,54,2.5,2.5,100000 total time: 215.55 hours. Intel64 Family 6 Model 58 Stepping 9, GenuineIntel Windows-post2008Server-6.2.9200 processors: 8, speed: 2.29GHz``` `GGNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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)
403e6281CypJanuary 8, 2015 19:28:25 UTC 2015 年 1 月 9 日 (金) 4 時 28 分 25 秒 (日本時間)
4511e64413600KTakahashiMay 31, 2015 22:29:14 UTC 2015 年 6 月 1 日 (月) 7 時 29 分 14 秒 (日本時間)
3813LegionMammal978January 16, 2017 12:24:17 UTC 2017 年 1 月 16 日 (月) 21 時 24 分 17 秒 (日本時間)
5043e62000 / 6552LegionMammal978January 17, 2017 22:49:45 UTC 2017 年 1 月 18 日 (水) 7 時 49 分 45 秒 (日本時間)

## 7×10187-5479

### c187

name 名前 Cyp February 18, 2015 07:23:35 UTC 2015 年 2 月 18 日 (水) 16 時 23 分 35 秒 (日本時間) `7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777717<187>` `5867138661976060439429465661178437519882951967<46>` `1325650922175105272520415065204225928619362528405028652873272422373008800172039741356227954533814559512869292160963450294497632206939428702251<142>` ```02/18/15 08:05:18 v1.34.3, // Seems data files were lost after finding the first factor… 02/11/15 21:05:18 v1.34.3, 02/11/15 21:05:18 v1.34.3, **************************** 02/11/15 21:05:18 v1.34.3, Starting factorization of 7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777717 02/11/15 21:05:18 v1.34.3, using pretesting plan: none 02/11/15 21:05:18 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 02/11/15 21:05:18 v1.34.3, **************************** 02/11/15 21:05:18 v1.34.3, nfs: commencing nfs on c187: 7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777717 02/11/15 21:05:18 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 02/11/15 21:05:18 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/11/15 21:36:11 v1.34.3, nfs: commencing lattice sieving with 8 threads [59 lines snipped] 02/13/15 03:25:56 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/13/15 03:56:03 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/13/15 04:25:56 v1.34.3, nfs: commencing msieve filtering 02/13/15 04:30:29 v1.34.3, nfs: commencing msieve linear algebra 02/13/15 06:39:38 v1.34.3, nfs: commencing msieve sqrt 02/13/15 06:43:06 v1.34.3, prp46 = 5867138661976060439429465661178437519882951967 02/13/15 06:43:06 v1.34.3, C142 = 1325650922175105272520415065204225928619362528405028652873272422373008800172039741356227954533814559512869292160963450294497632206939428702251 02/13/15 06:43:06 v1.34.3, NFS elapsed time = 121068.5319 seconds. 02/13/15 06:43:06 v1.34.3, 02/13/15 06:43:06 v1.34.3, 02/13/15 06:43:06 v1.34.3, 02/13/15 06:43:06 v1.34.3, **************************** 02/13/15 06:43:06 v1.34.3, Starting factorization of 1325650922175105272520415065204225928619362528405028652873272422373008800172039741356227954533814559512869292160963450294497632206939428702251 02/13/15 06:43:06 v1.34.3, using pretesting plan: normal 02/13/15 06:43:06 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 02/13/15 06:43:06 v1.34.3, **************************** 02/13/15 06:43:06 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C142 02/13/15 06:43:06 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C142 02/13/15 06:43:06 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C142 02/13/15 06:43:06 v1.34.3, pm1: starting B1 = 150K, B2 = gmp-ecm default on C142 02/13/15 06:43:06 v1.34.3, current ECM pretesting depth: 0.00 02/13/15 06:43:06 v1.34.3, scheduled 30 curves at B1=2000 toward target pretesting depth of 43.69 02/13/15 06:43:07 v1.34.3, Finished 30 curves using Lenstra ECM method on C142 input, B1=2K, B2=gmp-ecm default 02/13/15 06:43:07 v1.34.3, current ECM pretesting depth: 15.18 02/13/15 06:43:07 v1.34.3, scheduled 74 curves at B1=11000 toward target pretesting depth of 43.69 02/13/15 06:43:10 v1.34.3, Finished 74 curves using Lenstra ECM method on C142 input, B1=11K, B2=gmp-ecm default 02/13/15 06:43:10 v1.34.3, current ECM pretesting depth: 20.24 02/13/15 06:43:10 v1.34.3, scheduled 214 curves at B1=50000 toward target pretesting depth of 43.69 02/13/15 06:43:49 v1.34.3, Finished 214 curves using Lenstra ECM method on C142 input, B1=50K, B2=gmp-ecm default 02/13/15 06:43:49 v1.34.3, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C142 02/13/15 06:43:52 v1.34.3, current ECM pretesting depth: 25.33 02/13/15 06:43:52 v1.34.3, scheduled 430 curves at B1=250000 toward target pretesting depth of 43.69 02/13/15 06:49:36 v1.34.3, Finished 430 curves using Lenstra ECM method on C142 input, B1=250K, B2=gmp-ecm default 02/13/15 06:49:36 v1.34.3, pm1: starting B1 = 15M, B2 = gmp-ecm default on C142 02/13/15 06:49:47 v1.34.3, current ECM pretesting depth: 30.45 02/13/15 06:49:47 v1.34.3, scheduled 904 curves at B1=1000000 toward target pretesting depth of 43.69 02/13/15 07:38:06 v1.34.3, Finished 904 curves using Lenstra ECM method on C142 input, B1=1M, B2=gmp-ecm default 02/13/15 07:38:06 v1.34.3, current ECM pretesting depth: 35.56 02/13/15 07:38:06 v1.34.3, scheduled 2350 curves at B1=3000000 toward target pretesting depth of 43.69 02/13/15 13:32:09 v1.34.3, Finished 2350 curves using Lenstra ECM method on C142 input, B1=3M, B2=gmp-ecm default 02/13/15 13:32:09 v1.34.3, current ECM pretesting depth: 40.63 02/13/15 13:32:09 v1.34.3, scheduled 2747 curves at B1=11000000 toward target pretesting depth of 43.69 -- Fri Feb 13 04:25:56 2015 Fri Feb 13 04:25:56 2015 commencing relation filtering Fri Feb 13 04:25:56 2015 estimated available RAM is 15987.3 MB Fri Feb 13 04:25:56 2015 commencing duplicate removal, pass 1 Fri Feb 13 04:27:02 2015 found 2852076 hash collisions in 21255452 relations Fri Feb 13 04:27:21 2015 added 718434 free relations Fri Feb 13 04:27:21 2015 commencing duplicate removal, pass 2 Fri Feb 13 04:27:40 2015 found 1846778 duplicates and 20127108 unique relations Fri Feb 13 04:27:40 2015 memory use: 82.6 MB Fri Feb 13 04:27:40 2015 reading ideals above 720000 Fri Feb 13 04:27:40 2015 commencing singleton removal, initial pass Fri Feb 13 04:29:10 2015 memory use: 689.0 MB Fri Feb 13 04:29:10 2015 reading all ideals from disk Fri Feb 13 04:29:10 2015 memory use: 650.6 MB Fri Feb 13 04:29:11 2015 keeping 21692503 ideals with weight <= 200, target excess is 116919 Fri Feb 13 04:29:12 2015 commencing in-memory singleton removal Fri Feb 13 04:29:13 2015 begin with 20127108 relations and 21692503 unique ideals Fri Feb 13 04:29:23 2015 reduce to 8978544 relations and 8384341 ideals in 17 passes Fri Feb 13 04:29:23 2015 max relations containing the same ideal: 116 Fri Feb 13 04:29:26 2015 removing 1549066 relations and 1319778 ideals in 229288 cliques Fri Feb 13 04:29:26 2015 commencing in-memory singleton removal Fri Feb 13 04:29:27 2015 begin with 7429478 relations and 8384341 unique ideals Fri Feb 13 04:29:30 2015 reduce to 7193330 relations and 6820407 ideals in 9 passes Fri Feb 13 04:29:30 2015 max relations containing the same ideal: 100 Fri Feb 13 04:29:32 2015 removing 1200337 relations and 971049 ideals in 229288 cliques Fri Feb 13 04:29:32 2015 commencing in-memory singleton removal Fri Feb 13 04:29:33 2015 begin with 5992993 relations and 6820407 unique ideals Fri Feb 13 04:29:37 2015 reduce to 5818508 relations and 5669405 ideals in 9 passes Fri Feb 13 04:29:37 2015 max relations containing the same ideal: 87 Fri Feb 13 04:29:40 2015 removing 122053 relations and 108577 ideals in 13476 cliques Fri Feb 13 04:29:40 2015 commencing in-memory singleton removal Fri Feb 13 04:29:40 2015 begin with 5696455 relations and 5669405 unique ideals Fri Feb 13 04:29:43 2015 reduce to 5694780 relations and 5559150 ideals in 7 passes Fri Feb 13 04:29:43 2015 max relations containing the same ideal: 85 Fri Feb 13 04:29:44 2015 relations with 0 large ideals: 2885 Fri Feb 13 04:29:44 2015 relations with 1 large ideals: 652 Fri Feb 13 04:29:44 2015 relations with 2 large ideals: 12783 Fri Feb 13 04:29:44 2015 relations with 3 large ideals: 101325 Fri Feb 13 04:29:44 2015 relations with 4 large ideals: 435153 Fri Feb 13 04:29:44 2015 relations with 5 large ideals: 1073373 Fri Feb 13 04:29:44 2015 relations with 6 large ideals: 1640143 Fri Feb 13 04:29:44 2015 relations with 7+ large ideals: 2428466 Fri Feb 13 04:29:44 2015 commencing 2-way merge Fri Feb 13 04:29:46 2015 reduce to 3370230 relation sets and 3234600 unique ideals Fri Feb 13 04:29:46 2015 commencing full merge Fri Feb 13 04:30:17 2015 memory use: 392.4 MB Fri Feb 13 04:30:18 2015 found 1751048 cycles, need 1732800 Fri Feb 13 04:30:18 2015 weight of 1732800 cycles is about 121472920 (70.10/cycle) Fri Feb 13 04:30:18 2015 distribution of cycle lengths: Fri Feb 13 04:30:18 2015 1 relations: 223246 Fri Feb 13 04:30:18 2015 2 relations: 206966 Fri Feb 13 04:30:18 2015 3 relations: 208206 Fri Feb 13 04:30:18 2015 4 relations: 188595 Fri Feb 13 04:30:18 2015 5 relations: 167884 Fri Feb 13 04:30:18 2015 6 relations: 146572 Fri Feb 13 04:30:18 2015 7 relations: 124934 Fri Feb 13 04:30:18 2015 8 relations: 105334 Fri Feb 13 04:30:18 2015 9 relations: 86845 Fri Feb 13 04:30:18 2015 10+ relations: 274218 Fri Feb 13 04:30:18 2015 heaviest cycle: 22 relations Fri Feb 13 04:30:18 2015 commencing cycle optimization Fri Feb 13 04:30:20 2015 start with 9594039 relations Fri Feb 13 04:30:27 2015 pruned 192951 relations Fri Feb 13 04:30:27 2015 memory use: 328.9 MB Fri Feb 13 04:30:27 2015 distribution of cycle lengths: Fri Feb 13 04:30:27 2015 1 relations: 223246 Fri Feb 13 04:30:27 2015 2 relations: 211135 Fri Feb 13 04:30:27 2015 3 relations: 214491 Fri Feb 13 04:30:27 2015 4 relations: 192374 Fri Feb 13 04:30:27 2015 5 relations: 171056 Fri Feb 13 04:30:27 2015 6 relations: 148076 Fri Feb 13 04:30:27 2015 7 relations: 125352 Fri Feb 13 04:30:27 2015 8 relations: 104997 Fri Feb 13 04:30:27 2015 9 relations: 85903 Fri Feb 13 04:30:27 2015 10+ relations: 256170 Fri Feb 13 04:30:27 2015 heaviest cycle: 21 relations Fri Feb 13 04:30:29 2015 RelProcTime: 273 Fri Feb 13 04:30:29 2015 Fri Feb 13 04:30:29 2015 commencing linear algebra Fri Feb 13 04:30:30 2015 read 1732800 cycles Fri Feb 13 04:30:31 2015 cycles contain 5578865 unique relations Fri Feb 13 04:31:02 2015 read 5578865 relations Fri Feb 13 04:31:06 2015 using 20 quadratic characters above 268434402 Fri Feb 13 04:31:24 2015 building initial matrix Fri Feb 13 04:31:58 2015 memory use: 696.3 MB Fri Feb 13 04:31:59 2015 read 1732800 cycles Fri Feb 13 04:31:59 2015 matrix is 1732802 x 1732800 (521.6 MB) with weight 153112842 (88.36/col) Fri Feb 13 04:31:59 2015 sparse part has weight 117682062 (67.91/col) Fri Feb 13 04:32:08 2015 filtering completed in 2 passes Fri Feb 13 04:32:08 2015 matrix is 1730810 x 1730942 (521.5 MB) with weight 153056451 (88.42/col) Fri Feb 13 04:32:08 2015 sparse part has weight 117662709 (67.98/col) Fri Feb 13 04:32:13 2015 matrix starts at (0, 0) Fri Feb 13 04:32:13 2015 matrix is 1730810 x 1730942 (521.5 MB) with weight 153056451 (88.42/col) Fri Feb 13 04:32:13 2015 sparse part has weight 117662709 (67.98/col) Fri Feb 13 04:32:13 2015 saving the first 48 matrix rows for later Fri Feb 13 04:32:14 2015 matrix includes 64 packed rows Fri Feb 13 04:32:14 2015 matrix is 1730762 x 1730942 (495.0 MB) with weight 122874448 (70.99/col) Fri Feb 13 04:32:14 2015 sparse part has weight 112439931 (64.96/col) Fri Feb 13 04:32:14 2015 using block size 65536 for processor cache size 8192 kB Fri Feb 13 04:32:18 2015 commencing Lanczos iteration (8 threads) Fri Feb 13 04:32:18 2015 memory use: 486.4 MB Fri Feb 13 04:32:24 2015 linear algebra at 0.1%, ETA 1h53m Fri Feb 13 04:32:27 2015 checkpointing every 820000 dimensions Fri Feb 13 06:39:37 2015 lanczos halted after 27370 iterations (dim = 1730751) Fri Feb 13 06:39:38 2015 recovered 37 nontrivial dependencies Fri Feb 13 06:39:38 2015 BLanczosTime: 7749 Fri Feb 13 06:39:38 2015 Fri Feb 13 06:39:38 2015 commencing square root phase Fri Feb 13 06:39:38 2015 reading relations for dependency 1 Fri Feb 13 06:39:39 2015 read 866086 cycles Fri Feb 13 06:39:39 2015 cycles contain 2792876 unique relations Fri Feb 13 06:40:00 2015 read 2792876 relations Fri Feb 13 06:40:08 2015 multiplying 2792876 relations Fri Feb 13 06:41:26 2015 multiply complete, coefficients have about 91.26 million bits Fri Feb 13 06:41:26 2015 initial square root is modulo 3553981 Fri Feb 13 06:43:06 2015 sqrtTime: 208 -- n: 7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777717 m: 10000000000000000000000000000000000000 deg: 5 c5: 700 c0: -547 skew: 0.95 # Murphy_E = 3.376e-11 type: snfs lss: 1 rlim: 9500000 alim: 9500000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5``` `yafu v1.34.3` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### c142

name 名前 LegionMammal978 March 7, 2017 21:56:01 UTC 2017 年 3 月 8 日 (水) 6 時 56 分 1 秒 (日本時間) `1325650922175105272520415065204225928619362528405028652873272422373008800172039741356227954533814559512869292160963450294497632206939428702251<142>` ```183214261270059196643194296737201521485084394652767<51> 7235522567869789680552199928465405544400425803889869759714977941597899967106020171498876853<91>``` ```Tue Mar 7 09:14:46 2017 Msieve v. 1.53 (SVN Unversioned directory) Tue Mar 7 09:14:46 2017 random seeds: 01dd0929 1faf523c Tue Mar 7 09:14:46 2017 factoring 1325650922175105272520415065204225928619362528405028652873272422373008800172039741356227954533814559512869292160963450294497632206939428702251 (142 digits) Tue Mar 7 09:14:47 2017 no P-1/P+1/ECM available, skipping Tue Mar 7 09:14:47 2017 commencing number field sieve (142-digit input) Tue Mar 7 09:14:47 2017 R0: -10000000000000000000000000000000000000 Tue Mar 7 09:14:47 2017 R1: 1 Tue Mar 7 09:14:47 2017 A0: -547 Tue Mar 7 09:14:47 2017 A1: 0 Tue Mar 7 09:14:47 2017 A2: 0 Tue Mar 7 09:14:47 2017 A3: 0 Tue Mar 7 09:14:47 2017 A4: 0 Tue Mar 7 09:14:47 2017 A5: 700 Tue Mar 7 09:14:47 2017 skew 0.95, size 2.168e-13, alpha 0.199, combined = 3.376e-11 rroots = 1 Tue Mar 7 09:14:47 2017 Tue Mar 7 09:14:47 2017 commencing relation filtering Tue Mar 7 09:14:47 2017 estimated available RAM is 15929.4 MB Tue Mar 7 09:14:47 2017 commencing duplicate removal, pass 1 Tue Mar 7 09:17:30 2017 found 3557084 hash collisions in 22577371 relations Tue Mar 7 09:17:49 2017 added 307 free relations Tue Mar 7 09:17:49 2017 commencing duplicate removal, pass 2 Tue Mar 7 09:17:55 2017 found 3290462 duplicates and 19287216 unique relations Tue Mar 7 09:17:55 2017 memory use: 106.6 MB Tue Mar 7 09:17:55 2017 reading ideals above 720000 Tue Mar 7 09:17:55 2017 commencing singleton removal, initial pass Tue Mar 7 09:19:54 2017 memory use: 689.0 MB Tue Mar 7 09:19:54 2017 reading all ideals from disk Tue Mar 7 09:19:54 2017 memory use: 616.4 MB Tue Mar 7 09:19:55 2017 keeping 21444331 ideals with weight <= 200, target excess is 116116 Tue Mar 7 09:19:56 2017 commencing in-memory singleton removal Tue Mar 7 09:19:56 2017 begin with 19287216 relations and 21444331 unique ideals Tue Mar 7 09:20:05 2017 reduce to 7865490 relations and 7695254 ideals in 20 passes Tue Mar 7 09:20:05 2017 max relations containing the same ideal: 106 Tue Mar 7 09:20:07 2017 removing 287939 relations and 270168 ideals in 17771 cliques Tue Mar 7 09:20:07 2017 commencing in-memory singleton removal Tue Mar 7 09:20:07 2017 begin with 7577551 relations and 7695254 unique ideals Tue Mar 7 09:20:11 2017 reduce to 7568344 relations and 7415833 ideals in 9 passes Tue Mar 7 09:20:11 2017 max relations containing the same ideal: 105 Tue Mar 7 09:20:13 2017 removing 207457 relations and 189686 ideals in 17771 cliques Tue Mar 7 09:20:13 2017 commencing in-memory singleton removal Tue Mar 7 09:20:13 2017 begin with 7360887 relations and 7415833 unique ideals Tue Mar 7 09:20:16 2017 reduce to 7355955 relations and 7221205 ideals in 8 passes Tue Mar 7 09:20:16 2017 max relations containing the same ideal: 105 Tue Mar 7 09:20:17 2017 relations with 0 large ideals: 2885 Tue Mar 7 09:20:17 2017 relations with 1 large ideals: 863 Tue Mar 7 09:20:17 2017 relations with 2 large ideals: 16013 Tue Mar 7 09:20:17 2017 relations with 3 large ideals: 126919 Tue Mar 7 09:20:17 2017 relations with 4 large ideals: 549225 Tue Mar 7 09:20:17 2017 relations with 5 large ideals: 1381250 Tue Mar 7 09:20:17 2017 relations with 6 large ideals: 2157666 Tue Mar 7 09:20:17 2017 relations with 7+ large ideals: 3121134 Tue Mar 7 09:20:17 2017 commencing 2-way merge Tue Mar 7 09:20:20 2017 reduce to 4297967 relation sets and 4163219 unique ideals Tue Mar 7 09:20:20 2017 ignored 2 oversize relation sets Tue Mar 7 09:20:20 2017 commencing full merge Tue Mar 7 09:21:05 2017 memory use: 502.0 MB Tue Mar 7 09:21:05 2017 found 2213038 cycles, need 2201419 Tue Mar 7 09:21:05 2017 weight of 2201419 cycles is about 154166284 (70.03/cycle) Tue Mar 7 09:21:05 2017 distribution of cycle lengths: Tue Mar 7 09:21:05 2017 1 relations: 336755 Tue Mar 7 09:21:05 2017 2 relations: 294588 Tue Mar 7 09:21:05 2017 3 relations: 270557 Tue Mar 7 09:21:05 2017 4 relations: 229983 Tue Mar 7 09:21:05 2017 5 relations: 195122 Tue Mar 7 09:21:05 2017 6 relations: 160548 Tue Mar 7 09:21:05 2017 7 relations: 133536 Tue Mar 7 09:21:05 2017 8 relations: 108865 Tue Mar 7 09:21:05 2017 9 relations: 88354 Tue Mar 7 09:21:05 2017 10+ relations: 383111 Tue Mar 7 09:21:05 2017 heaviest cycle: 28 relations Tue Mar 7 09:21:06 2017 commencing cycle optimization Tue Mar 7 09:21:08 2017 start with 12507262 relations Tue Mar 7 09:21:19 2017 pruned 264554 relations Tue Mar 7 09:21:19 2017 memory use: 422.4 MB Tue Mar 7 09:21:19 2017 distribution of cycle lengths: Tue Mar 7 09:21:19 2017 1 relations: 336755 Tue Mar 7 09:21:19 2017 2 relations: 300781 Tue Mar 7 09:21:19 2017 3 relations: 278900 Tue Mar 7 09:21:19 2017 4 relations: 234264 Tue Mar 7 09:21:19 2017 5 relations: 197972 Tue Mar 7 09:21:19 2017 6 relations: 161366 Tue Mar 7 09:21:19 2017 7 relations: 133154 Tue Mar 7 09:21:19 2017 8 relations: 107401 Tue Mar 7 09:21:19 2017 9 relations: 86673 Tue Mar 7 09:21:19 2017 10+ relations: 364153 Tue Mar 7 09:21:19 2017 heaviest cycle: 28 relations Tue Mar 7 09:21:21 2017 RelProcTime: 394 Tue Mar 7 09:21:22 2017 elapsed time 00:06:36 Tue Mar 07 09:21:22 2017 LatSieveTime: 1122 Tue Mar 07 09:21:22 2017 -> Running matrix solving step ... Tue Mar 07 09:21:22 2017 -> ./msieve -s 77717_187/77717_187.dat -l 77717_187/77717_187.log -i 77717_187/77717_187.ini -nf 77717_187/77717_187.fb -t 6 -nc2 Tue Mar 7 09:21:22 2017 Tue Mar 7 09:21:22 2017 Tue Mar 7 09:21:22 2017 Msieve v. 1.53 (SVN Unversioned directory) Tue Mar 7 09:21:22 2017 random seeds: e7b770aa f96db4ee Tue Mar 7 09:21:22 2017 factoring 1325650922175105272520415065204225928619362528405028652873272422373008800172039741356227954533814559512869292160963450294497632206939428702251 (142 digits) Tue Mar 7 09:21:22 2017 no P-1/P+1/ECM available, skipping Tue Mar 7 09:21:22 2017 commencing number field sieve (142-digit input) Tue Mar 7 09:21:22 2017 R0: -10000000000000000000000000000000000000 Tue Mar 7 09:21:22 2017 R1: 1 Tue Mar 7 09:21:22 2017 A0: -547 Tue Mar 7 09:21:22 2017 A1: 0 Tue Mar 7 09:21:22 2017 A2: 0 Tue Mar 7 09:21:22 2017 A3: 0 Tue Mar 7 09:21:22 2017 A4: 0 Tue Mar 7 09:21:22 2017 A5: 700 Tue Mar 7 09:21:22 2017 skew 0.95, size 2.168e-13, alpha 0.199, combined = 3.376e-11 rroots = 1 Tue Mar 7 09:21:22 2017 Tue Mar 7 09:21:22 2017 commencing linear algebra Tue Mar 7 09:21:23 2017 read 2201419 cycles Tue Mar 7 09:21:25 2017 cycles contain 7181541 unique relations Tue Mar 7 09:21:59 2017 read 7181541 relations Tue Mar 7 09:22:04 2017 using 20 quadratic characters above 4294917295 Tue Mar 7 09:22:31 2017 building initial matrix Tue Mar 7 09:23:13 2017 memory use: 871.6 MB Tue Mar 7 09:23:13 2017 read 2201419 cycles Tue Mar 7 09:23:14 2017 matrix is 2201242 x 2201419 (660.6 MB) with weight 193583608 (87.94/col) Tue Mar 7 09:23:14 2017 sparse part has weight 148958245 (67.66/col) Tue Mar 7 09:23:26 2017 filtering completed in 2 passes Tue Mar 7 09:23:26 2017 matrix is 2198542 x 2198719 (660.4 MB) with weight 193492575 (88.00/col) Tue Mar 7 09:23:26 2017 sparse part has weight 148925974 (67.73/col) Tue Mar 7 09:23:30 2017 matrix starts at (0, 0) Tue Mar 7 09:23:31 2017 matrix is 2198542 x 2198719 (660.4 MB) with weight 193492575 (88.00/col) Tue Mar 7 09:23:31 2017 sparse part has weight 148925974 (67.73/col) Tue Mar 7 09:23:31 2017 saving the first 48 matrix rows for later Tue Mar 7 09:23:31 2017 matrix includes 64 packed rows Tue Mar 7 09:23:31 2017 matrix is 2198494 x 2198719 (626.9 MB) with weight 155463224 (70.71/col) Tue Mar 7 09:23:31 2017 sparse part has weight 142361799 (64.75/col) Tue Mar 7 09:23:31 2017 using block size 8192 and superblock size 786432 for processor cache size 8192 kB Tue Mar 7 09:23:36 2017 commencing Lanczos iteration (6 threads) Tue Mar 7 09:23:36 2017 memory use: 503.4 MB Tue Mar 7 09:23:41 2017 linear algebra at 0.1%, ETA 2h 1m Tue Mar 7 09:23:43 2017 checkpointing every 1040000 dimensions Tue Mar 7 11:23:08 2017 lanczos halted after 34770 iterations (dim = 2198494) Tue Mar 7 11:23:10 2017 recovered 40 nontrivial dependencies Tue Mar 7 11:23:10 2017 BLanczosTime: 7308 Tue Mar 7 11:23:10 2017 elapsed time 02:01:48 Tue Mar 07 11:23:10 2017 -> Running square root step ... Tue Mar 07 11:23:10 2017 -> ./msieve -s 77717_187/77717_187.dat -l 77717_187/77717_187.log -i 77717_187/77717_187.ini -nf 77717_187/77717_187.fb -t 6 -nc3 Tue Mar 7 11:23:10 2017 Tue Mar 7 11:23:10 2017 Tue Mar 7 11:23:10 2017 Msieve v. 1.53 (SVN Unversioned directory) Tue Mar 7 11:23:10 2017 random seeds: 5c786bad d8f43308 Tue Mar 7 11:23:10 2017 factoring 1325650922175105272520415065204225928619362528405028652873272422373008800172039741356227954533814559512869292160963450294497632206939428702251 (142 digits) Tue Mar 7 11:23:10 2017 no P-1/P+1/ECM available, skipping Tue Mar 7 11:23:10 2017 commencing number field sieve (142-digit input) Tue Mar 7 11:23:10 2017 R0: -10000000000000000000000000000000000000 Tue Mar 7 11:23:10 2017 R1: 1 Tue Mar 7 11:23:10 2017 A0: -547 Tue Mar 7 11:23:10 2017 A1: 0 Tue Mar 7 11:23:10 2017 A2: 0 Tue Mar 7 11:23:10 2017 A3: 0 Tue Mar 7 11:23:10 2017 A4: 0 Tue Mar 7 11:23:10 2017 A5: 700 Tue Mar 7 11:23:10 2017 skew 0.95, size 2.168e-13, alpha 0.199, combined = 3.376e-11 rroots = 1 Tue Mar 7 11:23:10 2017 Tue Mar 7 11:23:10 2017 commencing square root phase Tue Mar 7 11:23:10 2017 reading relations for dependency 1 Tue Mar 7 11:23:11 2017 read 1098899 cycles Tue Mar 7 11:23:12 2017 cycles contain 3589302 unique relations Tue Mar 7 11:23:29 2017 read 3589302 relations Tue Mar 7 11:23:39 2017 multiplying 3589302 relations Tue Mar 7 11:25:25 2017 multiply complete, coefficients have about 114.94 million bits Tue Mar 7 11:25:26 2017 initial square root is modulo 177961781 Tue Mar 7 11:27:39 2017 GCD is N, no factor found Tue Mar 7 11:27:39 2017 reading relations for dependency 2 Tue Mar 7 11:27:39 2017 read 1100138 cycles Tue Mar 7 11:27:40 2017 cycles contain 3592050 unique relations Tue Mar 7 11:27:57 2017 read 3592050 relations Tue Mar 7 11:28:08 2017 multiplying 3592050 relations Tue Mar 7 11:29:53 2017 multiply complete, coefficients have about 115.03 million bits Tue Mar 7 11:29:54 2017 initial square root is modulo 180564301 Tue Mar 7 11:32:06 2017 Newton iteration failed to converge Tue Mar 7 11:32:06 2017 algebraic square root failed Tue Mar 7 11:32:06 2017 reading relations for dependency 3 Tue Mar 7 11:32:06 2017 read 1098693 cycles Tue Mar 7 11:32:07 2017 cycles contain 3589966 unique relations Tue Mar 7 11:32:25 2017 read 3589966 relations Tue Mar 7 11:32:35 2017 multiplying 3589966 relations Tue Mar 7 11:34:21 2017 multiply complete, coefficients have about 114.97 million bits Tue Mar 7 11:34:21 2017 initial square root is modulo 178686551 Tue Mar 7 11:36:34 2017 GCD is N, no factor found Tue Mar 7 11:36:34 2017 reading relations for dependency 4 Tue Mar 7 11:36:35 2017 read 1099303 cycles Tue Mar 7 11:36:36 2017 cycles contain 3586738 unique relations Tue Mar 7 11:36:54 2017 read 3586738 relations Tue Mar 7 11:37:04 2017 multiplying 3586738 relations Tue Mar 7 11:38:50 2017 multiply complete, coefficients have about 114.86 million bits Tue Mar 7 11:38:51 2017 initial square root is modulo 175543211 Tue Mar 7 11:41:04 2017 sqrtTime: 1074 Tue Mar 7 11:41:04 2017 p51 factor: 183214261270059196643194296737201521485084394652767 Tue Mar 7 11:41:04 2017 p91 factor: 7235522567869789680552199928465405544400425803889869759714977941597899967106020171498876853 Tue Mar 7 11:41:04 2017 elapsed time 00:17:54``` `Msieve 1.53 snfs` `64-bit Ubuntu 16.04.1 LTS, Core i7-2600K 3.4GHz`

### 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 00:04:24 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 24 秒 (日本時間)
1CypJanuary 9, 2015 01:04:53 UTC 2015 年 1 月 9 日 (金) 10 時 4 分 53 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:08:49 UTC 2015 年 1 月 11 日 (日) 5 時 8 分 49 秒 (日本時間)
4511e60 / 436--
5043e61000 / 7462Serge BatalovJanuary 11, 2015 21:22:40 UTC 2015 年 1 月 12 日 (月) 6 時 22 分 40 秒 (日本時間)

## 7×10188-5479

### c182

name 名前 Serge Batalov January 9, 2015 03:50:29 UTC 2015 年 1 月 9 日 (金) 12 時 50 分 29 秒 (日本時間) `32268826244033551650382203502615134826301287669071938876573721844469512712603737937855127076251190316328076787636503473531702715785905188748892891145309613164537869150186170383182631<182>` ```54154845795413291551602615011<29> 595862212699100657312737248498504034462780545861307315182075159956707791233658527906112855264394522400290968369017926465662245512875646094200672807933421<153>``` ```Input number is 32268826244033551650382203502615134826301287669071938876573721844469512712603737937855127076251190316328076787636503473531702715785905188748892891145309613164537869150186170383182631 (182 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3079041577 Step 1 took 15067ms Step 2 took 11270ms ********** Factor found in step 2: 54154845795413291551602615011 Found probable prime factor of 29 digits: 54154845795413291551602615011 Probable prime cofactor 595862212699100657312737248498504034462780545861307315182075159956707791233658527906112855264394522400290968369017926465662245512875646094200672807933421 has 153 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 00:04:25 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 25 秒 (日本時間)

## 7×10190-5479

### c128

name 名前 Erik Branger February 12, 2015 17:42:08 UTC 2015 年 2 月 13 日 (金) 2 時 42 分 8 秒 (日本時間) `16682279951101292845584573920242283330329596156540810787567775711975716868142175147433779248330801602487812499220783611548173703<128>` ```262577544522800991491628709455104086160596134814549599162757<60> 63532774599667575886322559981627972492180874997574090855993028698779<68>``` ```Number: 77717_190 N = 16682279951101292845584573920242283330329596156540810787567775711975716868142175147433779248330801602487812499220783611548173703 (128 digits) Divisors found: r1=262577544522800991491628709455104086160596134814549599162757 (pp60) r2=63532774599667575886322559981627972492180874997574090855993028698779 (pp68) Version: Msieve v. 1.51 (SVN Official Release) Total time: 35.27 hours. Factorization parameters were as follows: # Murphy_E = 1.007e-10, selected by Maksym Voznyy n: 16682279951101292845584573920242283330329596156540810787567775711975716868142175147433779248330801602487812499220783611548173703 Y0: -7514992881105160416544273 Y1: 9806330983177 c0: 152868642171532669909923164912160 c1: 68386966992113369196110232 c2: -2774512043400526323172 c3: 2399294808430825 c4: 4050112994 c5: 696 skew: 841890.87 type: gnfs # selected mechanically rlim: 8200000 alim: 8200000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 8200000/8200000 Large primes per side: 3 Large prime bits: 28/28 Sieved algebraic special-q in [0, 0) Total raw relations: 17058583 Relations: 2207892 relations Pruned matrix : 1265857 x 1266087 Polynomial selection time: 0.00 hours. Total sieving time: 33.96 hours. Total relation processing time: 0.09 hours. Matrix solve time: 1.04 hours. time per square root: 0.17 hours. Prototype def-par.txt line would be: gnfs,127,5,65,2000,1e-05,0.28,250,20,50000,3600,8200000,8200000,28,28,53,53,2.5,2.5,100000 total time: 35.27 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-7-6.1.7601-SP1 processors: 8, speed: 3.50GHz``` `GGNFS, 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)
403e62651300Serge BatalovJanuary 9, 2015 00:04:25 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 25 秒 (日本時間)
1CypJanuary 9, 2015 00:29:16 UTC 2015 年 1 月 9 日 (金) 9 時 29 分 16 秒 (日本時間)
2350Ignacio SantosFebruary 2, 2015 23:33:33 UTC 2015 年 2 月 3 日 (火) 8 時 33 分 33 秒 (日本時間)

## 7×10192-5479

### c138

name 名前 Serge Batalov January 9, 2015 03:50:33 UTC 2015 年 1 月 9 日 (金) 12 時 50 分 33 秒 (日本時間) `260098293277867622464328874434272402808226359102307217723299696929234561465148476077454968797967673372201368127725637766105991392511116559<138>` ```1200988015234847036548387631781709<34> 216570265463479031816760638175147120756210781989703538087805313027534760313907680898297633670583163336651<105>``` ```Input number is 260098293277867622464328874434272402808226359102307217723299696929234561465148476077454968797967673372201368127725637766105991392511116559 (138 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2830819944 Step 1 took 9229ms Step 2 took 7489ms ********** Factor found in step 2: 1200988015234847036548387631781709 Found probable prime factor of 34 digits: 1200988015234847036548387631781709 Probable prime cofactor 216570265463479031816760638175147120756210781989703538087805313027534760313907680898297633670583163336651 has 105 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 00:04:26 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 26 秒 (日本時間)

## 7×10193-5479

### c190

name 名前 Serge Batalov September 27, 2015 19:45:53 UTC 2015 年 9 月 28 日 (月) 4 時 45 分 53 秒 (日本時間) `1698575623013273155225546577370119628254592220523646599208949066996675644852102593967630001698575623013273155225546577370119628254592220523646599208949066996675644852102593967630001698575623<190>` ```1065648689111238422822739622377093755343730894625294657<55> 1593935825539185970801589445408853391101926239494924301168548849135071578958287314795283971183588434213959868503987550266764430726612039<136>``` ```SNFS difficulty: 193 digits. Divisors found: r1=1065648689111238422822739622377093755343730894625294657 (pp55) r2=1593935825539185970801589445408853391101926239494924301168548849135071578958287314795283971183588434213959868503987550266764430726612039 (pp136) Version: Msieve v. 1.52 (SVN unknown) Total time: 6.66 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 1698575623013273155225546577370119628254592220523646599208949066996675644852102593967630001698575623013273155225546577370119628254592220523646599208949066996675644852102593967630001698575623 Y0: -100000000000000000000000000000000000000 Y1: 1 c5: 7000 c0: -547 skew: 0.60 # Murphy_E = 1.572e-11 type: snfs lss: 1 rlim: 12000000 alim: 12000000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 12000000/12000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved rational special-q in [6000000, 6000000) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 2487305 x 2487533 Total sieving time: 123.80 hours. Total relation processing time: 0.14 hours. Matrix solve time: 2.50 hours. Time per square root: 0.22 hours. Prototype def-par.txt line would be: snfs,193.000,5,0,0,0,0,0,0,0,0,12000000,12000000,28,28,55,55,2.5,2.5,100000 total time: 126.66 hours.``` `Msieve v. 1.52` `Win7 x64`

### 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 00:04:26 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 26 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:08:52 UTC 2015 年 1 月 11 日 (日) 5 時 8 分 52 秒 (日本時間)
4511e6401313KTakahashiJuly 25, 2015 08:45:11 UTC 2015 年 7 月 25 日 (土) 17 時 45 分 11 秒 (日本時間)
4000Serge BatalovSeptember 17, 2015 03:09:16 UTC 2015 年 9 月 17 日 (木) 12 時 9 分 16 秒 (日本時間)

## 7×10195-5479

### c179

name 名前 Cyp June 15, 2015 18:24:34 UTC 2015 年 6 月 16 日 (火) 3 時 24 分 34 秒 (日本時間) `10553059400892706790847319830987844522863336540674937767234448624027041547607209036702983348298948930907490201343769071924541935491787650179958661564421313673625880587815318008281<179>` `40462168382082046030532624365920112397<38>` `260812997001068832132864729236675145731614549629542528881807911217087293189925651550723765386204712845615702117912678723089960989037191518973<141>` ```Run 332 out of 585: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=783932209 Step 1 took 59190ms Step 2 took 18814ms ********** Factor found in step 2: 40462168382082046030532624365920112397 Found probable prime factor of 38 digits: 40462168382082046030532624365920112397 Composite cofactor 260812997001068832132864729236675145731614549629542528881807911217087293189925651550723765386204712845615702117912678723089960989037191518973 has 141 digits``` `GMP-ECM 6.4.4` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### c141

name 名前 Eric Jeancolas February 23, 2020 15:06:13 UTC 2020 年 2 月 24 日 (月) 0 時 6 分 13 秒 (日本時間) `260812997001068832132864729236675145731614549629542528881807911217087293189925651550723765386204712845615702117912678723089960989037191518973<141>` ```32748940711888635569445877939239102039049<41> 7964013227041190410361132153816749468869447179502184812192075375167396826527822298813149685228577877<100>``` ```260812997001068832132864729236675145731614549629542528881807911217087293189925651550723765386204712845615702117912678723089960989037191518973=32748940711888635569445877939239102039049*7964013227041190410361132153816749468869447179502184812192075375167396826527822298813149685228577877 Info:Square Root: Factors: 7964013227041190410361132153816749468869447179502184812192075375167396826527822298813149685228577877 32748940711888635569445877939239102039049 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 65655.1 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 65980/41.500/50.562/55.680/0.949 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 65980/40.580/45.374/51.270/1.352 Info:Polynomial Selection (size optimized): Total time: 45622.6 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 8092.33 Info:Polynomial Selection (root optimized): Rootsieve time: 8090.15 Info:Generate Factor Base: Total cpu/real time for makefb: 20.36/4.84971 Info:Generate Free Relations: Total cpu/real time for freerel: 861.21/442.766 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 33901894 Info:Lattice Sieving: Average J: 3825.3 for 1015904 special-q, max bucket fill -bkmult 1.0,1s:1.122900 Info:Lattice Sieving: Total time: 1.39955e+06s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 146.12/358.91 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 357.4s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1111.75/1041.85 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 921.0999999999998s Info:Filtering - Singleton removal: Total cpu/real time for purge: 813.1/990.216 Info:Filtering - Merging: Total cpu/real time for merge: 1402.67/1297.26 Info:Filtering - Merging: Total cpu/real time for replay: 96.84/76.9292 Info:Linear Algebra: Total cpu/real time for bwc: 145472/29266.9 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 21193.95, iteration CPU time 0.28, COMM 0.01, cpu-wait 0.06, comm-wait 0.0 (62000 iterations) Info:Linear Algebra: Lingen CPU time 720.96, WCT time 154.54 Info:Linear Algebra: Mksol: WCT time 7482.45, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.03, comm-wait 0.0 (31000 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 83.88/20.2828 Info:Square Root: Total cpu/real time for sqrt: 5203.78/762.275 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.59937e+06/275561 Info:root: Cleaning up computation data in /tmp/cado.92g_jnz1 7964013227041190410361132153816749468869447179502184812192075375167396826527822298813149685228577877 32748940711888635569445877939239102039049``` `cado-nfs-3.0.0` ```Linux Ubuntu 18.04 LTS GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors)```

### 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 00:04:27 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 27 秒 (日本時間)
4511e6585 / 4409CypJune 15, 2015 18:24:33 UTC 2015 年 6 月 16 日 (火) 3 時 24 分 33 秒 (日本時間)

## 7×10196-5479

### c145

name 名前 Serge Batalov January 9, 2015 03:50:37 UTC 2015 年 1 月 9 日 (金) 12 時 50 分 37 秒 (日本時間) `2994781085539634647274214641174656404203162095308330836005342630919728831592931559712671988175571686648034231605968232342276102322245764796428023<145>` ```142165848934254114455766177349<30> 21065404300610889380087260705740055745522655121478486586693253699120564106119714719911934326652120901883565666300427<116>``` ```Input number is 2994781085539634647274214641174656404203162095308330836005342630919728831592931559712671988175571686648034231605968232342276102322245764796428023 (145 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4258856755 Step 1 took 9949ms Step 2 took 623ms ********** Factor found in step 2: 142165848934254114455766177349 Found probable prime factor of 30 digits: 142165848934254114455766177349 Probable prime cofactor 21065404300610889380087260705740055745522655121478486586693253699120564106119714719911934326652120901883565666300427 has 116 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 00:04:27 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 27 秒 (日本時間)

## 7×10197-5479

### c194

name 名前 Bob Backstrom February 25, 2021 02:33:31 UTC 2021 年 2 月 25 日 (木) 11 時 33 分 31 秒 (日本時間) `52874084145328196993730644308482513785029080746279930508346551854369665382581765994410453961779590603519903315960419971296925749678978774831935946823778230984213309162323438326157564770753078027<194>` ```4180897512564901433458125311287335779708612252791613365331977<61> 12646587003490297914556025932849160790882383691007597559518476633206507643067230244456832241849689085228684478755736321340212415393651<134>``` ```Number: n N=52874084145328196993730644308482513785029080746279930508346551854369665382581765994410453961779590603519903315960419971296925749678978774831935946823778230984213309162323438326157564770753078027 ( 194 digits) SNFS difficulty: 197 digits. Divisors found: Thu Feb 25 12:38:16 2021 p61 factor: 4180897512564901433458125311287335779708612252791613365331977 Thu Feb 25 12:38:16 2021 p134 factor: 12646587003490297914556025932849160790882383691007597559518476633206507643067230244456832241849689085228684478755736321340212415393651 Thu Feb 25 12:38:16 2021 elapsed time 08:57:21 (Msieve 1.54 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=3.788). Factorization parameters were as follows: # # N = 7x10^197-547 = 7(195)17 # n: 52874084145328196993730644308482513785029080746279930508346551854369665382581765994410453961779590603519903315960419971296925749678978774831935946823778230984213309162323438326157564770753078027 m: 1000000000000000000000000000000000000000 deg: 5 c5: 700 c0: -547 skew: 0.95 # Murphy_E = 1.306e-11 type: snfs lss: 1 rlim: 13900000 alim: 13900000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 13900000/13900000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 6950000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 4069343 hash collisions in 31624915 relations (28586618 unique) Msieve: matrix is 2009087 x 2009312 (697.3 MB) Sieving start time: 2021/02/24 18:14:06 Sieving end time : 2021/02/25 03:23:12 Total sieving time: 9hrs 9min 6secs. Total relation processing time: 8hrs 27min 51sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 16min 6sec. Prototype def-par.txt line would be: snfs,197,5,0,0,0,0,0,0,0,0,13900000,13900000,28,28,55,55,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.038468] smpboot: CPU0: Intel(R) Core(TM) i7-4790 CPU @ 3.60GHz (fam: 06, model: 3c, stepping: 03) [ 0.000000] efi: mem02: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x0000000000009000-0x0000000000058000) (0MB) [ 0.000000] efi: mem04: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x0000000000059000-0x000000000005f000) (0MB) [ 0.000000] efi: mem08: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x0000000000100000-0x0000000001000000) (15MB) ... [ 0.000000] efi: mem157: [Memory Mapped I/O |RUN| | | | | | | |UC] range=[0x00000000fed00000-0x00000000fed04000) (0MB) [ 0.000000] efi: mem158: [Memory Mapped I/O |RUN| | | | | | | |UC] range=[0x00000000fed1c000-0x00000000fed20000) (0MB) [ 0.000000] efi: mem159: [Memory Mapped I/O |RUN| | | | | | | |UC] range=[0x00000000fee00000-0x00000000fee01000) (0MB) [ 0.000000] efi: mem160: [Memory Mapped I/O |RUN| | | | | | | |UC] range=[0x00000000ff000000-0x0000000100000000) (16MB) [ 0.000000] Memory: 16059420K/16661464K available (7585K kernel code, 1183K rwdata, 3284K rodata, 1504K init, 1524K bss, 602044K reserved, 0K cma-reserved) [ 1.098882] [drm] Memory usable by graphics device = 2048M [ 0.000027] Calibrating delay loop (skipped), value calculated using timer frequency.. 7200.77 BogoMIPS (lpj=3600387) [ 0.136575] smpboot: Total of 8 processors activated (57606.19 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 00:04:28 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 28 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:08:55 UTC 2015 年 1 月 11 日 (日) 5 時 8 分 55 秒 (日本時間)

## 7×10199-5479

### c177

name 名前 Bob Backstrom April 7, 2021 14:38:28 UTC 2021 年 4 月 7 日 (水) 23 時 38 分 28 秒 (日本時間) `762904540554129462923707725275104629133124499018722490938940487947471602800842489095041059694957915356617643861324386858850020959763483586575914521193624676462859588481415449391<177>` ```13320989300623779472814937216226715554729086051533117101<56> 57270862046139851999498987051202986622927695645792598713359589259394677315133092202661370006373262474473200213684730073291<122>``` ```Number: n N=762904540554129462923707725275104629133124499018722490938940487947471602800842489095041059694957915356617643861324386858850020959763483586575914521193624676462859588481415449391 ( 177 digits) SNFS difficulty: 200 digits. Divisors found: Thu Apr 8 00:31:46 2021 p56 factor: 13320989300623779472814937216226715554729086051533117101 Thu Apr 8 00:31:46 2021 p122 factor: 57270862046139851999498987051202986622927695645792598713359589259394677315133092202661370006373262474473200213684730073291 Thu Apr 8 00:31:46 2021 elapsed time 01:55:35 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.349). Factorization parameters were as follows: # # N = 7x10^199-547 = 7(197)17 # n: 762904540554129462923707725275104629133124499018722490938940487947471602800842489095041059694957915356617643861324386858850020959763483586575914521193624676462859588481415449391 m: 5000000000000000000000000000000000000000 deg: 5 c5: 112 c0: -2735 skew: 1.89 # Murphy_E = 1.077e-11 type: snfs lss: 1 rlim: 15400000 alim: 15400000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 15400000/15400000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 56/56 Sieved special-q in [100000, 27700000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 5471406 hash collisions in 45569190 relations (41876126 unique) Msieve: matrix is 2257474 x 2257701 (792.2 MB) Sieving start time : 2021/04/07 14:42:01 Sieving end time : 2021/04/07 22:34:48 Total sieving time: 7hrs 52min 47secs. Total relation processing time: 1hrs 39min 39sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 23sec. Prototype def-par.txt line would be: snfs,200,5,0,0,0,0,0,0,0,0,15400000,15400000,29,29,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.119768] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16241112K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486124K reserved, 0K cma-reserved) [ 0.153507] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.05 BogoMIPS (lpj=12798104) [ 0.152038] smpboot: Total of 16 processors activated (102384.83 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 00:04:29 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 29 秒 (日本時間)
1CypJanuary 9, 2015 01:01:31 UTC 2015 年 1 月 9 日 (金) 10 時 1 分 31 秒 (日本時間)
4511e6585 / 4409CypJuly 5, 2015 19:17:56 UTC 2015 年 7 月 6 日 (月) 4 時 17 分 56 秒 (日本時間)

## 7×10200-5479

### c138

name 名前 Erik Branger April 19, 2015 19:17:31 UTC 2015 年 4 月 20 日 (月) 4 時 17 分 31 秒 (日本時間) `606231721690836996364335902530664584219566459976458562671467302376558700657245754088029587768708908242815971712125456744895034265447535743<138>` ```14471388136294811736181334670443081935102543617537449<53> 41891746388197822426228865993853079266460272767746541505615458845556250317569869906407<86>``` ```Number: 77717_200 N = 606231721690836996364335902530664584219566459976458562671467302376558700657245754088029587768708908242815971712125456744895034265447535743 (138 digits) Divisors found: r1=14471388136294811736181334670443081935102543617537449 (pp53) r2=41891746388197822426228865993853079266460272767746541505615458845556250317569869906407 (pp86) Version: Msieve v. 1.52 (SVN 958) Total time: 155.01 hours. Factorization parameters were as follows: # Murphy_E = 2.549e-11, selected by Erik Branger # expecting poly E from 2.80e-011 to > 3.22e-011 n: 606231721690836996364335902530664584219566459976458562671467302376558700657245754088029587768708908242815971712125456744895034265447535743 Y0: -849787834558577597661483643 Y1: 13565414732041 c0: 22908313198436034209689070949987216 c1: -134868891477033548253687904002 c2: 124635464220709405682885 c3: 17307727966263218 c4: 2494449858 c5: 1368 skew: 2600608.83 type: gnfs # selected mechanically rlim: 15900000 alim: 15900000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.6 alambda: 2.6 Factor base limits: 15900000/15900000 Large primes per side: 3 Large prime bits: 28/28 Sieved algebraic special-q in [0, 0) Total raw relations: 23182666 Relations: 3926710 relations Pruned matrix : 2396094 x 2396320 Polynomial selection time: 0.00 hours. Total sieving time: 152.00 hours. Total relation processing time: 0.12 hours. Matrix solve time: 2.47 hours. time per square root: 0.42 hours. Prototype def-par.txt line would be: gnfs,137,5,65,2000,1e-05,0.28,250,20,50000,3600,15900000,15900000,28,28,55,55,2.6,2.6,100000 total time: 155.01 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-7-6.1.7601-SP1 processors: 8, speed: 3.50GHz``` `GGNFS, 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)
403e62651300Serge BatalovJanuary 9, 2015 00:04:30 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 30 秒 (日本時間)
1CypJanuary 9, 2015 00:41:18 UTC 2015 年 1 月 9 日 (金) 9 時 41 分 18 秒 (日本時間)
2350Ignacio SantosFebruary 6, 2015 22:26:09 UTC 2015 年 2 月 7 日 (土) 7 時 26 分 9 秒 (日本時間)
4511e6264 / 3889Pierre JammesMarch 13, 2015 15:23:14 UTC 2015 年 3 月 14 日 (土) 0 時 23 分 14 秒 (日本時間)

## 7×10201-5479

### c164

name 名前 Serge Batalov January 9, 2015 03:50:41 UTC 2015 年 1 月 9 日 (金) 12 時 50 分 41 秒 (日本時間) `25318128485081498485191960507523175492604987580807575267180285935551547027395728296007034008098237609919603612123757169624746100698199383545903355834331691844299677<164>` ```16118576649997887673898681589257<32> 1570742196091167665535232360752422369902483009838660995027282861816644423907579043385396706216245490509295012089306258236343400515061<133>``` ```Input number is 25318128485081498485191960507523175492604987580807575267180285935551547027395728296007034008098237609919603612123757169624746100698199383545903355834331691844299677 (164 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3261803982 Step 1 took 11748ms Step 2 took 9822ms ********** Factor found in step 2: 16118576649997887673898681589257 Found probable prime factor of 32 digits: 16118576649997887673898681589257 Probable prime cofactor 1570742196091167665535232360752422369902483009838660995027282861816644423907579043385396706216245490509295012089306258236343400515061 has 133 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 00:04:30 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 30 秒 (日本時間)

## 7×10202-5479

### c197

name 名前 Bob Backstrom April 25, 2021 13:56:22 UTC 2021 年 4 月 25 日 (日) 22 時 56 分 22 秒 (日本時間) `40576252342553996847804853731305216309102934416603338729974894893014914091378879596927102444023610741577384419994354104316907486724319724637958388473561963125461192582429207482029067667856710181799<197>` ```23185545980374910694890407546729680802498761484877479903<56> 1750066717294439064087953867847104444778122107897580804775548390916273238135790219677741225883280512069469558086405277226533511233627571615033<142>``` ```Number: n N=40576252342553996847804853731305216309102934416603338729974894893014914091378879596927102444023610741577384419994354104316907486724319724637958388473561963125461192582429207482029067667856710181799 ( 197 digits) SNFS difficulty: 202 digits. Divisors found: Sun Apr 25 23:51:44 2021 p56 factor: 23185545980374910694890407546729680802498761484877479903 Sun Apr 25 23:51:44 2021 p142 factor: 1750066717294439064087953867847104444778122107897580804775548390916273238135790219677741225883280512069469558086405277226533511233627571615033 Sun Apr 25 23:51:44 2021 elapsed time 02:05:04 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.348). Factorization parameters were as follows: # # N = 7x10^202-547 = 7(200)17 # n: 40576252342553996847804853731305216309102934416603338729974894893014914091378879596927102444023610741577384419994354104316907486724319724637958388473561963125461192582429207482029067667856710181799 m: 10000000000000000000000000000000000000000 deg: 5 c5: 700 c0: -547 skew: 0.95 # Murphy_E = 8.072e-12 type: snfs lss: 1 rlim: 16800000 alim: 16800000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 16800000/16800000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 56/56 Sieved special-q in [100000, 35600000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 7207334 hash collisions in 51754636 relations (46411030 unique) Msieve: matrix is 2362602 x 2362828 (823.7 MB) Sieving start time : 2021/04/25 11:18:05 Sieving end time : 2021/04/25 21:45:48 Total sieving time: 10hrs 27min 43secs. Total relation processing time: 1hrs 48min 16sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 30sec. Prototype def-par.txt line would be: snfs,202,5,0,0,0,0,0,0,0,0,16800000,16800000,29,29,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118393] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16241108K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486128K reserved, 0K cma-reserved) [ 0.153523] x86/mm: Memory block size: 128MB [ 0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.30 BogoMIPS (lpj=12798612) [ 0.152049] smpboot: Total of 16 processors activated (102388.89 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 00:04:31 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 31 秒 (日本時間)
1CypJanuary 9, 2015 01:00:15 UTC 2015 年 1 月 9 日 (金) 10 時 0 分 15 秒 (日本時間)
4511e6756 / 4409356CypMay 13, 2015 18:40:32 UTC 2015 年 5 月 14 日 (木) 3 時 40 分 32 秒 (日本時間)
400Dmitry DomanovJanuary 16, 2017 12:13:21 UTC 2017 年 1 月 16 日 (月) 21 時 13 分 21 秒 (日本時間)

## 7×10204-5479

### c186

name 名前 Dmitry Domanov January 17, 2017 06:51:10 UTC 2017 年 1 月 17 日 (火) 15 時 51 分 10 秒 (日本時間) `681125890303321391414858570875842153002166963882322498542661797824300548339821309986336517270395174073544454408732339003681891768370223796864197850099870403440984604418370247186589223039<186>` ```355915448245161885154012010698699340237<39> 1913729492950100500409806303527694659822664782056941448703707246247382192166280127346075541260052748919307691268621679777774430144168088836599418747<148>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=270012473 Step 1 took 66460ms Step 2 took 22149ms ********** Factor found in step 2: 355915448245161885154012010698699340237 Found probable prime factor of 39 digits: 355915448245161885154012010698699340237```

### 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 00:04:32 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 32 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovJanuary 16, 2017 14:04:46 UTC 2017 年 1 月 16 日 (月) 23 時 4 分 46 秒 (日本時間)

## 7×10205-5479

### c201

name 名前 Serge Batalov January 9, 2015 03:50:45 UTC 2015 年 1 月 9 日 (金) 12 時 50 分 45 秒 (日本時間) `457543254178350360478720970514605434306593198292710028694498369185115464308358007987397951513487721499957513840683438895098404481309358066814387774444248354478368008575667849742795327829741618788033283<201>` `1794495072673413915244327717986511<34>` `254970471162514118746758744619998125824270662620661367421538883204753100074238285822097617393805033008404776060693542240351892658224144961898685620486215548914822586253<168>` ```Input number is 457543254178350360478720970514605434306593198292710028694498369185115464308358007987397951513487721499957513840683438895098404481309358066814387774444248354478368008575667849742795327829741618788033283 (201 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1885526643 Step 1 took 16367ms Step 2 took 10825ms ********** Factor found in step 2: 1794495072673413915244327717986511 Found probable prime factor of 34 digits: 1794495072673413915244327717986511 Composite cofactor 254970471162514118746758744619998125824270662620661367421538883204753100074238285822097617393805033008404776060693542240351892658224144961898685620486215548914822586253 has 168 digits```

### c168

name 名前 ebina July 28, 2023 21:40:43 UTC 2023 年 7 月 29 日 (土) 6 時 40 分 43 秒 (日本時間) `254970471162514118746758744619998125824270662620661367421538883204753100074238285822097617393805033008404776060693542240351892658224144961898685620486215548914822586253<168>` ```25765232146023247581124961216455265442610144887347<50> 9895912046027022151739911223508636284753908925553823163296959771483948131732064845387304489448035063501596386394068799<118>``` ```Number: 77717_205 N = 254970471162514118746758744619998125824270662620661367421538883204753100074238285822097617393805033008404776060693542240351892658224144961898685620486215548914822586253 (168 digits) SNFS difficulty: 206 digits. Divisors found: r1=25765232146023247581124961216455265442610144887347 (pp50) r2=9895912046027022151739911223508636284753908925553823163296959771483948131732064845387304489448035063501596386394068799 (pp118) Version: Msieve v. 1.53 (SVN unknown) Total time: 88.89 hours. Factorization parameters were as follows: n: 254970471162514118746758744619998125824270662620661367421538883204753100074238285822097617393805033008404776060693542240351892658224144961898685620486215548914822586253 m: 100000000000000000000000000000000000000000 deg: 5 c5: 7 c0: -547 skew: 2.39 # Murphy_E = 8.204e-12 type: snfs lss: 1 rlim: 18900000 alim: 18900000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 18900000/18900000 Large primes per side: 3 Large prime bits: 29/29 Sieved rational special-q in [0, 0) Total raw relations: 39540321 Relations: 6509512 relations Pruned matrix : 3909005 x 3909234 Total sieving time: 80.23 hours. Total relation processing time: 0.28 hours. Matrix solve time: 7.75 hours. time per square root: 0.63 hours. Prototype def-par.txt line would be: snfs,206,5,0,0,0,0,0,0,0,0,18900000,18900000,29,29,56,56,2.6,2.6,100000 total time: 88.89 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel processors: 8, speed: 3.19GHz 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 00:04:32 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 32 秒 (日本時間)
1CypJanuary 9, 2015 00:44:16 UTC 2015 年 1 月 9 日 (金) 9 時 44 分 16 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovJanuary 16, 2017 14:05:41 UTC 2017 年 1 月 16 日 (月) 23 時 5 分 41 秒 (日本時間)

## 7×10206-5479

### c183

name 名前 Bob Backstrom December 9, 2021 08:27:08 UTC 2021 年 12 月 9 日 (木) 17 時 27 分 8 秒 (日本時間) `485855721478296599596272082016391059032013379676565409288126055273092630785318427095101608148393343288788918471916436765955938578506704966996152324173188311715828478272598351684467023<183>` ```19326476568285335229119249800856037652623560528106704475079<59> 25139384292922991715555113932306585871623973475551570105586906938139590543589456635471357258854249254844540304984618122042937<125>``` ```Number: n N=485855721478296599596272082016391059032013379676565409288126055273092630785318427095101608148393343288788918471916436765955938578506704966996152324173188311715828478272598351684467023 ( 183 digits) SNFS difficulty: 206 digits. Divisors found: Thu Dec 9 19:17:07 2021 p59 factor: 19326476568285335229119249800856037652623560528106704475079 Thu Dec 9 19:17:07 2021 p125 factor: 25139384292922991715555113932306585871623973475551570105586906938139590543589456635471357258854249254844540304984618122042937 Thu Dec 9 19:17:07 2021 elapsed time 03:08:07 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.336). Factorization parameters were as follows: # # N = 7x10^206-547 = 7(204)17 # n: 485855721478296599596272082016391059032013379676565409288126055273092630785318427095101608148393343288788918471916436765955938578506704966996152324173188311715828478272598351684467023 m: 100000000000000000000000000000000000000000 deg: 5 c5: 70 c0: -547 skew: 1.51 # Murphy_E = 5.529e-12 type: snfs lss: 1 rlim: 19600000 alim: 19600000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 19600000/19600000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 56/56 Sieved special-q in [100000, 58600000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 11004161 hash collisions in 67004340 relations (56965008 unique) Msieve: matrix is 2811349 x 2811575 (964.8 MB) Sieving start time : 2021/12/08 17:44:43 Sieving end time : 2021/12/09 16:07:35 Total sieving time: 22hrs 22min 52secs. Total relation processing time: 2hrs 44min 4sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 7min 9sec. Prototype def-par.txt line would be: snfs,206,5,0,0,0,0,0,0,0,0,19600000,19600000,29,29,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118965] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487280K reserved, 0K cma-reserved) [ 0.154164] x86/mm: Memory block size: 128MB [ 0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.06 BogoMIPS (lpj=12798120) [ 0.152035] smpboot: Total of 16 processors activated (102384.96 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 00:04:33 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 33 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovJanuary 16, 2017 14:05:58 UTC 2017 年 1 月 16 日 (月) 23 時 5 分 58 秒 (日本時間)

## 7×10207-5479

### c186

name 名前 Bob Backstrom May 31, 2022 02:14:04 UTC 2022 年 5 月 31 日 (火) 11 時 14 分 4 秒 (日本時間) `114584337563362435126190862461562042059283071322140188342086094372862541483337839406808447732029422062718584340037294921611522665796384944866504193649666681553201027697918085469609277893<186>` ```512019355574398024147596692176376510149165119579802081219189<60> 223789074213451233835026788054216569756869432099554415200013524926542834885875301396358572264175178416801024800862589809541137<126>``` ```GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 114584337563362435126190862461562042059283071322140188342086094372862541483337839406808447732029422062718584340037294921611522665796384944866504193649666681553201027697918085469609277893 (186 digits) Using B1=49700000, B2=288591002716, polynomial Dickson(12), sigma=1:201832083 Step 1 took 123262ms Step 2 took 43041ms ********** Factor found in step 2: 512019355574398024147596692176376510149165119579802081219189 Found prime factor of 60 digits: 512019355574398024147596692176376510149165119579802081219189 Prime cofactor 223789074213451233835026788054216569756869432099554415200013524926542834885875301396358572264175178416801024800862589809541137 has 126 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 00:04:33 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 33 秒 (日本時間)
1CypJanuary 9, 2015 00:33:26 UTC 2015 年 1 月 9 日 (金) 9 時 33 分 26 秒 (日本時間)
4511e6585 / 4409CypJune 25, 2015 06:10:37 UTC 2015 年 6 月 25 日 (木) 15 時 10 分 37 秒 (日本時間)

## 7×10208-5479

### c180

composite cofactor 合成数の残り `107080708974465587034959346433980013753241376270166212013492199521259501154440684620040920026666149297677333634916658616877996033660188970554789064441103338291767514085013239811177<180>`

### 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 00:04:34 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 34 秒 (日本時間)
4511e6585 / 4409CypJune 25, 2015 11:38:05 UTC 2015 年 6 月 25 日 (木) 20 時 38 分 5 秒 (日本時間)

## 7×10209-5479

### c180

composite cofactor 合成数の残り `133460648208117921685717624222220491744041615878967419610179195562605682307120988927836556757518293241262592874920576875777072798809024684673974296954034429625312610787847551909993<180>`

### 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 00:04:35 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 35 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovJanuary 16, 2017 14:06:14 UTC 2017 年 1 月 16 日 (月) 23 時 6 分 14 秒 (日本時間)

## 7×10210-5479

### c171

name 名前 Serge Batalov January 9, 2015 03:50:49 UTC 2015 年 1 月 9 日 (金) 12 時 50 分 49 秒 (日本時間) `322438528862723217184356098062711980082153786276647585967891667770411148831181860263871060457342114294651156458054626852916872740071085639119747869026772786455790723755641<171>` ```38724813058546351409971946926417<32> 8326406337333184947248939102074332651257295145542734660917819526155303906873547036681354927348948063807070083733338078283770201620082581673<139>``` ```Input number is 322438528862723217184356098062711980082153786276647585967891667770411148831181860263871060457342114294651156458054626852916872740071085639119747869026772786455790723755641 (171 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1792250240 Step 1 took 10915ms Step 2 took 8738ms ********** Factor found in step 2: 38724813058546351409971946926417 Found probable prime factor of 32 digits: 38724813058546351409971946926417 Probable prime cofactor 8326406337333184947248939102074332651257295145542734660917819526155303906873547036681354927348948063807070083733338078283770201620082581673 has 139 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)
403e6301 / 2318300Serge BatalovJanuary 9, 2015 00:04:35 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 35 秒 (日本時間)
1CypJanuary 9, 2015 00:59:47 UTC 2015 年 1 月 9 日 (金) 9 時 59 分 47 秒 (日本時間)

## 7×10215-5479

### c205

composite cofactor 合成数の残り `5780111064970689178956309644089721700449965570267636164817802262879176151124060382448237255344138357909107292696367210154797286795523414730411126677857686514377468241549123258853736729839036436387321843329<205>`

### 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 00:04:36 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 36 秒 (日本時間)
4511e6585 / 4409CypJune 26, 2015 21:23:45 UTC 2015 年 6 月 27 日 (土) 6 時 23 分 45 秒 (日本時間)

## 7×10216-5479

### c177

name 名前 Dmitry Domanov January 17, 2017 06:51:38 UTC 2017 年 1 月 17 日 (火) 15 時 51 分 38 秒 (日本時間) `257824882447490102565533734844386821100963328583243349594199771872211678472257279238813808494712852417241438164267030074795765193200493222244702501432013257439008457492766609247<177>` ```36938772995404317243492378293010869702787211<44> 6979790110504401530078469049001398918367762877447588972504282287616519462681070297559081067880881139511271164484037908382729056654077<133>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=584518141 Step 1 took 73352ms Step 2 took 23399ms ********** Factor found in step 2: 36938772995404317243492378293010869702787211 Found probable prime factor of 44 digits: 36938772995404317243492378293010869702787211 Probable prime cofactor 6979790110504401530078469049001398918367762877447588972504282287616519462681070297559081067880881139511271164484037908382729056654077 has 133 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 00:04:36 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 36 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovJanuary 16, 2017 14:06:28 UTC 2017 年 1 月 16 日 (月) 23 時 6 分 28 秒 (日本時間)

## 7×10219-5479

### c194

name 名前 Erik Branger December 6, 2019 17:38:45 UTC 2019 年 12 月 7 日 (土) 2 時 38 分 45 秒 (日本時間) `79500925989556077195425135103478905857571788290713626423731066301702243219532493114183091184833471846989985864739478011344329513803757533378047972365007070551287352968510913809037380709353391161<194>` ```1719543445683519126618026687606598344098759<43> 40708109686663170790526051323771707031285960324280870368927942891933<68> 1135737846140550557259298066240194033091191096098353436999302304008526057017312338763<85>``` ```Number: 77717_219 N = 79500925989556077195425135103478905857571788290713626423731066301702243219532493114183091184833471846989985864739478011344329513803757533378047972365007070551287352968510913809037380709353391161 (194 digits) SNFS difficulty: 221 digits. Divisors found: r1=1719543445683519126618026687606598344098759 (pp43) r2=40708109686663170790526051323771707031285960324280870368927942891933 (pp68) r3=1135737846140550557259298066240194033091191096098353436999302304008526057017312338763 (pp85) Version: Msieve v. 1.52 (SVN unknown) Total time: 74.82 hours. Factorization parameters were as follows: n: 79500925989556077195425135103478905857571788290713626423731066301702243219532493114183091184833471846989985864739478011344329513803757533378047972365007070551287352968510913809037380709353391161 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 7 c0: -5470 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 44739242 lpbr: 29 lpba: 28 mfbr: 58 mfba: 56 rlambda: 2.8 alambda: 2.8 side: 1 Number of cores used: 6 Number of threads per core: 1 Factor base limits: 536870912/44739242 Large primes per side: 3 Large prime bits: 29/28 Total raw relations: 33195208 Relations: 9793878 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 37.69 hours. Total relation processing time: 0.35 hours. Pruned matrix : 8254799 x 8255024 Matrix solve time: 36.10 hours. time per square root: 0.68 hours. Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000 total time: 74.82 hours. Intel64 Family 6 Model 158 Stepping 10, GenuineIntel Windows-10-10.0.18362-SP0 processors: 12, speed: 3.19GHz``` `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 00:04:36 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 36 秒 (日本時間)
4511e6585 / 4409CypJune 25, 2015 21:25:30 UTC 2015 年 6 月 26 日 (金) 6 時 25 分 30 秒 (日本時間)

## 7×10221-5479

### c156

name 名前 Serge Batalov January 9, 2015 03:50:53 UTC 2015 年 1 月 9 日 (金) 12 時 50 分 53 秒 (日本時間) `379658272032877302329309617669104139118162165686459177313231159916387302694779499579308751309002195894316243147377474392746639527609578053954073314372688601<156>` ```803849496904395346265560204136926981<36> 472300192380454271380295768406478329967195519877834785357662123048759068846300669079117761716393787466641169956672462021<120>``` ```Input number is 379658272032877302329309617669104139118162165686459177313231159916387302694779499579308751309002195894316243147377474392746639527609578053954073314372688601 (156 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=663427903 Step 1 took 11844ms Step 2 took 9777ms ********** Factor found in step 2: 803849496904395346265560204136926981 Found probable prime factor of 36 digits: 803849496904395346265560204136926981 Probable prime cofactor 472300192380454271380295768406478329967195519877834785357662123048759068846300669079117761716393787466641169956672462021 has 120 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 00:04:37 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 37 秒 (日本時間)

## 7×10222-5479

### c154

name 名前 Erik Branger January 8, 2018 16:25:25 UTC 2018 年 1 月 9 日 (火) 1 時 25 分 25 秒 (日本時間) `8201689590338336225783869141518718659083948198032103367170975289411316502799129856034570878895715667808216237120289560804235259090192511455962100875960269<154>` ```1777510701267309338848966003213845115914158307158216170339<58> 4614143579833746697710771828691053668623406559464907010908034723790947746269292985662505654105871<97>``` ```Number: 77717_222 N = 8201689590338336225783869141518718659083948198032103367170975289411316502799129856034570878895715667808216237120289560804235259090192511455962100875960269 (154 digits) SNFS difficulty: 223 digits. Divisors found: r1=1777510701267309338848966003213845115914158307158216170339 (pp58) r2=4614143579833746697710771828691053668623406559464907010908034723790947746269292985662505654105871 (pp97) Version: Msieve v. 1.52 (SVN unknown) Total time: 102.90 hours. Factorization parameters were as follows: n: 8201689590338336225783869141518718659083948198032103367170975289411316502799129856034570878895715667808216237120289560804235259090192511455962100875960269 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 700 c0: -547 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 67108864 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: 536870912/67108864 Large primes per side: 3 Large prime bits: 29/27 Total raw relations: 28173724 Relations: 10318814 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 47.25 hours. Total relation processing time: 0.28 hours. Pruned matrix : 8865654 x 8865879 Matrix solve time: 54.41 hours. time per square root: 0.96 hours. Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,67108864,29,27,58,54,2.8,2.8,100000 total time: 102.90 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-10-10.0.15063-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)
403e62401300Serge BatalovJanuary 9, 2015 00:04:38 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 38 秒 (日本時間)
1CypJanuary 9, 2015 00:59:34 UTC 2015 年 1 月 9 日 (金) 9 時 59 分 34 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 23:39:20 UTC 2015 年 1 月 11 日 (日) 8 時 39 分 20 秒 (日本時間)
4511e64000400Serge BatalovJune 23, 2015 21:29:43 UTC 2015 年 6 月 24 日 (水) 6 時 29 分 43 秒 (日本時間)
500Dmitry DomanovMarch 1, 2016 13:13:24 UTC 2016 年 3 月 1 日 (火) 22 時 13 分 24 秒 (日本時間)
3100Lionel DebrouxJanuary 5, 2018 15:50:26 UTC 2018 年 1 月 6 日 (土) 0 時 50 分 26 秒 (日本時間)
5043e6500 / 6564Lionel DebrouxJanuary 5, 2018 15:50:35 UTC 2018 年 1 月 6 日 (土) 0 時 50 分 35 秒 (日本時間)

## 7×10223-5479

### c169

composite cofactor 合成数の残り `1104755138006993448258162679320348208951781679372972828264413363571165041522312807678910472330762552847094405354885375972442067215931738502217732408469450476628842711073<169>`

### 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 00:04:39 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 39 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovJanuary 16, 2017 14:06:45 UTC 2017 年 1 月 16 日 (月) 23 時 6 分 45 秒 (日本時間)

## 7×10224-5479

### c224

name 名前 Alfred Reich March 29, 2017 14:11:10 UTC 2017 年 3 月 29 日 (水) 23 時 11 分 10 秒 (日本時間) `77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777717<224>` ```785926964213153898383872701807689146274048658637773089792275553<63> 98963111484088748949891556305570765814374021615963480451674534749870856213226942600871920915010089568861567772077742860245165611741525680040267758664381007509589<161>``` ```# siever: 15e # qrange: 10M .. 46M # params: rlim=alim: 39000000, lpbr=lpba: 31, mfbr=mfba: 62, rlambda=alambda: 2.7 Tue Mar 28 17:19:33 2017 Tue Mar 28 17:19:33 2017 Tue Mar 28 17:19:33 2017 Msieve v. 1.53 (SVN 988) Tue Mar 28 17:19:33 2017 random seeds: 403e7864 b5b19b47 Tue Mar 28 17:19:33 2017 factoring 77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777717 (224 digits) Tue Mar 28 17:19:37 2017 searching for 15-digit factors Tue Mar 28 17:19:38 2017 commencing number field sieve (224-digit input) Tue Mar 28 17:19:38 2017 R0: -10000000000000000000000000000000000000 Tue Mar 28 17:19:39 2017 R1: 1 Tue Mar 28 17:19:39 2017 A0: -547 Tue Mar 28 17:19:39 2017 A1: 0 Tue Mar 28 17:19:39 2017 A2: 0 Tue Mar 28 17:19:39 2017 A3: 0 Tue Mar 28 17:19:39 2017 A4: 0 Tue Mar 28 17:19:39 2017 A5: 0 Tue Mar 28 17:19:39 2017 A6: 700 Tue Mar 28 17:19:39 2017 skew 0.96, size 2.411e-011, alpha -0.894, combined = 1.223e-012 rroots = 2 Tue Mar 28 17:19:39 2017 Tue Mar 28 17:19:39 2017 commencing relation filtering Tue Mar 28 17:19:39 2017 setting max relations to 170000001 Tue Mar 28 17:19:39 2017 setting target matrix density to 100.0 Tue Mar 28 17:19:39 2017 estimated available RAM is 8172.2 MB Tue Mar 28 17:19:39 2017 commencing duplicate removal, pass 1 Tue Mar 28 18:21:56 2017 found 6394982 hash collisions in 170000001 relations Tue Mar 28 18:21:56 2017 commencing duplicate removal, pass 2 Tue Mar 28 19:05:06 2017 found 0 duplicates and 170000001 unique relations Tue Mar 28 19:05:06 2017 memory use: 506.4 MB Tue Mar 28 19:05:07 2017 reading ideals above 51314688 Tue Mar 28 19:05:07 2017 commencing singleton removal, initial pass Tue Mar 28 20:15:51 2017 memory use: 3012.0 MB Tue Mar 28 20:15:52 2017 reading all ideals from disk Tue Mar 28 20:26:14 2017 memory use: 3109.2 MB Tue Mar 28 20:26:32 2017 keeping 155130090 ideals with weight <= 200, target excess is 6248424 Tue Mar 28 20:26:58 2017 commencing in-memory singleton removal Tue Mar 28 20:27:18 2017 begin with 170000001 relations and 155130090 unique ideals Tue Mar 28 20:31:06 2017 reduce to 92576546 relations and 67408852 ideals in 16 passes Tue Mar 28 20:31:07 2017 max relations containing the same ideal: 34 Tue Mar 28 20:31:29 2017 reading ideals above 720000 Tue Mar 28 20:31:29 2017 commencing singleton removal, initial pass Tue Mar 28 21:22:35 2017 memory use: 1506.0 MB Tue Mar 28 21:22:36 2017 reading all ideals from disk Tue Mar 28 21:33:34 2017 memory use: 3470.0 MB Tue Mar 28 21:33:55 2017 keeping 73040848 ideals with weight <= 200, target excess is 519360 Tue Mar 28 21:34:18 2017 commencing in-memory singleton removal Tue Mar 28 21:34:38 2017 begin with 92576547 relations and 73040848 unique ideals Tue Mar 28 21:36:09 2017 reduce to 92576382 relations and 73040646 ideals in 4 passes Tue Mar 28 21:36:09 2017 max relations containing the same ideal: 200 Tue Mar 28 21:37:50 2017 removing 11047487 relations and 9047487 ideals in 2000000 cliques Tue Mar 28 21:37:58 2017 commencing in-memory singleton removal Tue Mar 28 21:38:18 2017 begin with 81528895 relations and 73040646 unique ideals Tue Mar 28 21:41:47 2017 reduce to 80567361 relations and 63004865 ideals in 10 passes Tue Mar 28 21:41:47 2017 max relations containing the same ideal: 190 Tue Mar 28 21:43:06 2017 removing 8273320 relations and 6273320 ideals in 2000000 cliques Tue Mar 28 21:43:14 2017 commencing in-memory singleton removal Tue Mar 28 21:43:26 2017 begin with 72294041 relations and 63004865 unique ideals Tue Mar 28 21:46:10 2017 reduce to 71646019 relations and 56067421 ideals in 8 passes Tue Mar 28 21:46:10 2017 max relations containing the same ideal: 181 Tue Mar 28 21:47:38 2017 removing 7454525 relations and 5454525 ideals in 2000000 cliques Tue Mar 28 21:47:42 2017 commencing in-memory singleton removal Tue Mar 28 21:47:55 2017 begin with 64191494 relations and 56067421 unique ideals Tue Mar 28 21:51:07 2017 reduce to 63616306 relations and 50022550 ideals in 9 passes Tue Mar 28 21:51:07 2017 max relations containing the same ideal: 170 Tue Mar 28 21:52:18 2017 removing 7038720 relations and 5038720 ideals in 2000000 cliques Tue Mar 28 21:52:23 2017 commencing in-memory singleton removal Tue Mar 28 21:52:31 2017 begin with 56577586 relations and 50022550 unique ideals Tue Mar 28 21:54:13 2017 reduce to 56020776 relations and 44410973 ideals in 8 passes Tue Mar 28 21:54:13 2017 max relations containing the same ideal: 158 Tue Mar 28 21:54:58 2017 removing 6771244 relations and 4771244 ideals in 2000000 cliques Tue Mar 28 21:55:01 2017 commencing in-memory singleton removal Tue Mar 28 21:55:10 2017 begin with 49249532 relations and 44410973 unique ideals Tue Mar 28 21:56:34 2017 reduce to 48688189 relations and 39060597 ideals in 8 passes Tue Mar 28 21:56:34 2017 max relations containing the same ideal: 138 Tue Mar 28 21:57:26 2017 removing 6597522 relations and 4597522 ideals in 2000000 cliques Tue Mar 28 21:57:28 2017 commencing in-memory singleton removal Tue Mar 28 21:57:34 2017 begin with 42090667 relations and 39060597 unique ideals Tue Mar 28 21:58:50 2017 reduce to 41498046 relations and 33849307 ideals in 8 passes Tue Mar 28 21:58:50 2017 max relations containing the same ideal: 123 Tue Mar 28 21:59:43 2017 removing 6477465 relations and 4477465 ideals in 2000000 cliques Tue Mar 28 21:59:48 2017 commencing in-memory singleton removal Tue Mar 28 21:59:57 2017 begin with 35020581 relations and 33849307 unique ideals Tue Mar 28 22:00:55 2017 reduce to 34368717 relations and 28692603 ideals in 8 passes Tue Mar 28 22:00:55 2017 max relations containing the same ideal: 107 Tue Mar 28 22:01:37 2017 removing 6404097 relations and 4404097 ideals in 2000000 cliques Tue Mar 28 22:01:41 2017 commencing in-memory singleton removal Tue Mar 28 22:01:49 2017 begin with 27964620 relations and 28692603 unique ideals Tue Mar 28 22:02:52 2017 reduce to 27211858 relations and 23497654 ideals in 9 passes Tue Mar 28 22:02:52 2017 max relations containing the same ideal: 92 Tue Mar 28 22:03:18 2017 removing 6362390 relations and 4362390 ideals in 2000000 cliques Tue Mar 28 22:03:22 2017 commencing in-memory singleton removal Tue Mar 28 22:03:27 2017 begin with 20849468 relations and 23497654 unique ideals Tue Mar 28 22:04:24 2017 reduce to 19919567 relations and 18146252 ideals in 9 passes Tue Mar 28 22:04:24 2017 max relations containing the same ideal: 73 Tue Mar 28 22:04:56 2017 removing 4152943 relations and 2982086 ideals in 1170857 cliques Tue Mar 28 22:04:58 2017 commencing in-memory singleton removal Tue Mar 28 22:05:01 2017 begin with 15766624 relations and 18146252 unique ideals Tue Mar 28 22:05:32 2017 reduce to 15202574 relations and 14570558 ideals in 9 passes Tue Mar 28 22:05:32 2017 max relations containing the same ideal: 60 Tue Mar 28 22:05:56 2017 removing 208776 relations and 179218 ideals in 29558 cliques Tue Mar 28 22:05:57 2017 commencing in-memory singleton removal Tue Mar 28 22:06:01 2017 begin with 14993798 relations and 14570558 unique ideals Tue Mar 28 22:06:24 2017 reduce to 14992361 relations and 14389903 ideals in 5 passes Tue Mar 28 22:06:24 2017 max relations containing the same ideal: 60 Tue Mar 28 22:06:31 2017 relations with 0 large ideals: 84 Tue Mar 28 22:06:31 2017 relations with 1 large ideals: 7823 Tue Mar 28 22:06:31 2017 relations with 2 large ideals: 120561 Tue Mar 28 22:06:31 2017 relations with 3 large ideals: 718844 Tue Mar 28 22:06:31 2017 relations with 4 large ideals: 2198477 Tue Mar 28 22:06:31 2017 relations with 5 large ideals: 3833908 Tue Mar 28 22:06:32 2017 relations with 6 large ideals: 4052308 Tue Mar 28 22:06:32 2017 relations with 7+ large ideals: 4060356 Tue Mar 28 22:06:32 2017 commencing 2-way merge Tue Mar 28 22:07:14 2017 reduce to 8991371 relation sets and 8388912 unique ideals Tue Mar 28 22:07:14 2017 commencing full merge Wed Mar 29 00:04:41 2017 memory use: 1094.8 MB Wed Mar 29 00:04:43 2017 found 4397652 cycles, need 4319112 Wed Mar 29 00:04:43 2017 weight of 4319112 cycles is about 431936859 (100.01/cycle) Wed Mar 29 00:04:43 2017 distribution of cycle lengths: Wed Mar 29 00:04:43 2017 1 relations: 285749 Wed Mar 29 00:04:43 2017 2 relations: 328524 Wed Mar 29 00:04:43 2017 3 relations: 369153 Wed Mar 29 00:04:43 2017 4 relations: 379359 Wed Mar 29 00:04:43 2017 5 relations: 387709 Wed Mar 29 00:04:43 2017 6 relations: 382503 Wed Mar 29 00:04:43 2017 7 relations: 364119 Wed Mar 29 00:04:43 2017 8 relations: 333808 Wed Mar 29 00:04:43 2017 9 relations: 295745 Wed Mar 29 00:04:43 2017 10+ relations: 1192443 Wed Mar 29 00:04:43 2017 heaviest cycle: 21 relations Wed Mar 29 00:04:45 2017 commencing cycle optimization Wed Mar 29 00:04:52 2017 start with 30973941 relations Wed Mar 29 00:06:00 2017 pruned 1111552 relations Wed Mar 29 00:06:00 2017 memory use: 930.4 MB Wed Mar 29 00:06:00 2017 distribution of cycle lengths: Wed Mar 29 00:06:00 2017 1 relations: 285749 Wed Mar 29 00:06:00 2017 2 relations: 336815 Wed Mar 29 00:06:00 2017 3 relations: 383481 Wed Mar 29 00:06:00 2017 4 relations: 393392 Wed Mar 29 00:06:00 2017 5 relations: 405586 Wed Mar 29 00:06:00 2017 6 relations: 398356 Wed Mar 29 00:06:00 2017 7 relations: 379769 Wed Mar 29 00:06:00 2017 8 relations: 344626 Wed Mar 29 00:06:00 2017 9 relations: 302246 Wed Mar 29 00:06:00 2017 10+ relations: 1089092 Wed Mar 29 00:06:00 2017 heaviest cycle: 21 relations Wed Mar 29 00:06:11 2017 RelProcTime: 24392 Wed Mar 29 00:06:11 2017 Wed Mar 29 00:06:11 2017 commencing linear algebra Wed Mar 29 00:06:12 2017 read 4319112 cycles Wed Mar 29 00:06:20 2017 cycles contain 14632949 unique relations Wed Mar 29 00:18:15 2017 read 14632949 relations Wed Mar 29 00:18:37 2017 using 20 quadratic characters above 4294917295 Wed Mar 29 00:19:37 2017 building initial matrix Wed Mar 29 00:22:01 2017 memory use: 1873.5 MB Wed Mar 29 00:24:29 2017 read 4319112 cycles Wed Mar 29 00:24:30 2017 matrix is 4318844 x 4319112 (1734.2 MB) with weight 505551495 (117.05/col) Wed Mar 29 00:24:30 2017 sparse part has weight 407090264 (94.25/col) Wed Mar 29 00:25:11 2017 filtering completed in 2 passes Wed Mar 29 00:25:12 2017 matrix is 4318321 x 4318521 (1734.0 MB) with weight 505509902 (117.06/col) Wed Mar 29 00:25:12 2017 sparse part has weight 407062743 (94.26/col) Wed Mar 29 00:26:27 2017 matrix starts at (0, 0) Wed Mar 29 00:26:27 2017 matrix is 4318321 x 4318521 (1734.0 MB) with weight 505509902 (117.06/col) Wed Mar 29 00:26:27 2017 sparse part has weight 407062743 (94.26/col) Wed Mar 29 00:26:27 2017 saving the first 48 matrix rows for later Wed Mar 29 00:26:29 2017 matrix includes 64 packed rows Wed Mar 29 00:26:29 2017 matrix is 4318273 x 4318521 (1659.9 MB) with weight 425273613 (98.48/col) Wed Mar 29 00:26:29 2017 sparse part has weight 391956057 (90.76/col) Wed Mar 29 00:26:29 2017 using block size 8192 and superblock size 786432 for processor cache size 8192 kB Wed Mar 29 00:26:48 2017 commencing Lanczos iteration (8 threads) Wed Mar 29 00:26:48 2017 memory use: 1381.0 MB Wed Mar 29 00:27:04 2017 linear algebra at 0.0%, ETA 11h49m Wed Mar 29 00:27:08 2017 checkpointing every 390000 dimensions Wed Mar 29 11:50:50 2017 lanczos halted after 68287 iterations (dim = 4318265) Wed Mar 29 11:50:56 2017 recovered 32 nontrivial dependencies Wed Mar 29 11:50:59 2017 BLanczosTime: 42288 Wed Mar 29 11:50:59 2017 Wed Mar 29 11:50:59 2017 commencing square root phase Wed Mar 29 11:50:59 2017 handling dependencies 1 to 64 Wed Mar 29 11:50:59 2017 reading relations for dependency 1 Wed Mar 29 11:51:03 2017 read 2159923 cycles Wed Mar 29 11:51:06 2017 cycles contain 7318052 unique relations Wed Mar 29 12:02:52 2017 read 7318052 relations Wed Mar 29 12:03:25 2017 multiplying 7318052 relations Wed Mar 29 12:09:17 2017 multiply complete, coefficients have about 250.60 million bits Wed Mar 29 12:09:19 2017 initial square root is modulo 984841903 Wed Mar 29 12:15:51 2017 GCD is N, no factor found Wed Mar 29 12:15:52 2017 reading relations for dependency 2 Wed Mar 29 12:15:58 2017 read 2158290 cycles Wed Mar 29 12:16:01 2017 cycles contain 7316020 unique relations Wed Mar 29 12:27:45 2017 read 7316020 relations Wed Mar 29 12:28:18 2017 multiplying 7316020 relations Wed Mar 29 12:34:11 2017 multiply complete, coefficients have about 250.53 million bits Wed Mar 29 12:34:12 2017 initial square root is modulo 979219609 Wed Mar 29 12:40:43 2017 GCD is 1, no factor found Wed Mar 29 12:40:44 2017 reading relations for dependency 3 Wed Mar 29 12:40:50 2017 read 2158392 cycles Wed Mar 29 12:40:53 2017 cycles contain 7316550 unique relations Wed Mar 29 12:52:37 2017 read 7316550 relations Wed Mar 29 12:53:10 2017 multiplying 7316550 relations Wed Mar 29 12:59:02 2017 multiply complete, coefficients have about 250.55 million bits Wed Mar 29 12:59:03 2017 initial square root is modulo 980396611 Wed Mar 29 13:05:35 2017 GCD is 1, no factor found Wed Mar 29 13:05:36 2017 reading relations for dependency 4 Wed Mar 29 13:05:42 2017 read 2159650 cycles Wed Mar 29 13:05:45 2017 cycles contain 7314486 unique relations Wed Mar 29 13:17:30 2017 read 7314486 relations Wed Mar 29 13:18:03 2017 multiplying 7314486 relations Wed Mar 29 13:23:55 2017 multiply complete, coefficients have about 250.48 million bits Wed Mar 29 13:23:56 2017 initial square root is modulo 974877559 Wed Mar 29 13:30:28 2017 sqrtTime: 5969 Wed Mar 29 13:30:29 2017 p63 factor: 785926964213153898383872701807689146274048658637773089792275553 Wed Mar 29 13:30:29 2017 p161 factor: 98963111484088748949891556305570765814374021615963480451674534749870856213226942600871920915010089568861567772077742860245165611741525680040267758664381007509589 Wed Mar 29 13:30:29 2017 elapsed time 20:10:56```

### 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 00:04:39 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 39 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 08:39:50 UTC 2015 年 1 月 10 日 (土) 17 時 39 分 50 秒 (日本時間)
4511e6436KTakahashiMarch 10, 2015 13:47:12 UTC 2015 年 3 月 10 日 (火) 22 時 47 分 12 秒 (日本時間)
5043e61000 / 7364Serge BatalovJanuary 11, 2015 21:22:45 UTC 2015 年 1 月 12 日 (月) 6 時 22 分 45 秒 (日本時間)

## 7×10226-5479

### c225

composite cofactor 合成数の残り `457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928101<225>`

### 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 00:04:40 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 40 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 08:39:51 UTC 2015 年 1 月 10 日 (土) 17 時 39 分 51 秒 (日本時間)

## 7×10227-5479

### c205

name 名前 Serge Batalov January 9, 2015 03:50:57 UTC 2015 年 1 月 9 日 (金) 12 時 50 分 57 秒 (日本時間) `3456464423915199201370473751918694771195392191720358549568476283496266385736548072752573852917615299940504654586141848689585766621323846012622714914482985231779090179255713009405384001132875739596662891689<205>` `2039287364044004461375759938574361<34>` `1694937400612763466321796152864836451989907396919568060144979999573594901817159405015475263087937795686821795735338331909368040894689207270934545086722663191693056304268049<172>` ```Input number is 3456464423915199201370473751918694771195392191720358549568476283496266385736548072752573852917615299940504654586141848689585766621323846012622714914482985231779090179255713009405384001132875739596662891689 (205 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2745171935 Step 1 took 16166ms Step 2 took 11062ms ********** Factor found in step 2: 2039287364044004461375759938574361 Found probable prime factor of 34 digits: 2039287364044004461375759938574361 Composite cofactor 1694937400612763466321796152864836451989907396919568060144979999573594901817159405015475263087937795686821795735338331909368040894689207270934545086722663191693056304268049 has 172 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 00:04:40 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 40 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovJanuary 16, 2017 14:07:05 UTC 2017 年 1 月 16 日 (月) 23 時 7 分 5 秒 (日本時間)

## 7×10228-5479

### c161

composite cofactor 合成数の残り `81087131871057857426306347625386805135172925276400526405531021940682931961659220484520077076367572553751502389352297607142826346451268982596236903957331551626631<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 00:04:41 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 41 秒 (日本時間)
4511e6585 / 4409CypJanuary 25, 2015 13:29:46 UTC 2015 年 1 月 25 日 (日) 22 時 29 分 46 秒 (日本時間)

## 7×10229-5479

### c187

name 名前 Serge Batalov January 9, 2015 03:51:01 UTC 2015 年 1 月 9 日 (金) 12 時 51 分 1 秒 (日本時間) `6673761018639614639199087544609754373027942234112487699948420477198415966435894279801768393697471035532744329626774772653934729791052478921120448800699021926044926437102367159976191156021<187>` ```15525899975132754872956201786251451<35> 429846967282329819316442763805354484591292568937315320989221584932019298406029637460712664849762697480567445827633650306283537579194106439985310460453071<153>``` ```Input number is 6673761018639614639199087544609754373027942234112487699948420477198415966435894279801768393697471035532744329626774772653934729791052478921120448800699021926044926437102367159976191156021 (187 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1784906760 Step 1 took 15013ms Step 2 took 11672ms ********** Factor found in step 2: 15525899975132754872956201786251451 Found probable prime factor of 35 digits: 15525899975132754872956201786251451 Probable prime cofactor 429846967282329819316442763805354484591292568937315320989221584932019298406029637460712664849762697480567445827633650306283537579194106439985310460453071 has 153 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)
403e6301 / 2318300Serge BatalovJanuary 9, 2015 00:04:41 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 41 秒 (日本時間)
1CypJanuary 9, 2015 01:03:57 UTC 2015 年 1 月 9 日 (金) 10 時 3 分 57 秒 (日本時間)

## 7×10230-5479

### c182

composite cofactor 合成数の残り `10148621205264092750276619866005728834779700124523223041039909790516452729524474690441241228168354983585741603115025814062104316355130214530497940194347671304369302701950313139339941<182>`

### 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 00:04:42 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 42 秒 (日本時間)
4511e6585 / 4409CypMay 23, 2015 21:40:54 UTC 2015 年 5 月 24 日 (日) 6 時 40 分 54 秒 (日本時間)

## 7×10231-5479

### c213

name 名前 Cyp June 13, 2015 07:15:19 UTC 2015 年 6 月 13 日 (土) 16 時 15 分 19 秒 (日本時間) `100750811736396636761580855043495691192634999544847096571412921710810177632946767553012517431171607795394823893926755571179783140985456357295869811248420819005381836815942230833437318587075046470750151556592419853<213>` `292424957282361787910947078350022431091093690178051230709<57>` `344535612393414647051425363713959929815215199374694881737640320852606976356927071764383290691407408171246406058729758742959403314893205294922829097306284217<156>` ```Run 194 out of 585: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4321546 Step 1 took 80950ms Step 2 took 23560ms ********** Factor found in step 2: 292424957282361787910947078350022431091093690178051230709 Found probable prime factor of 57 digits: 292424957282361787910947078350022431091093690178051230709 Composite cofactor 344535612393414647051425363713959929815215199374694881737640320852606976356927071764383290691407408171246406058729758742959403314893205294922829097306284217 has 156 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)
403e6300Serge BatalovJanuary 9, 2015 00:04:42 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 42 秒 (日本時間)
4511e64785585CypJune 13, 2015 07:15:18 UTC 2015 年 6 月 13 日 (土) 16 時 15 分 18 秒 (日本時間)
800Dmitry DomanovMarch 1, 2016 13:10:30 UTC 2016 年 3 月 1 日 (火) 22 時 10 分 30 秒 (日本時間)
3400Lionel DebrouxDecember 29, 2017 15:05:27 UTC 2017 年 12 月 30 日 (土) 0 時 5 分 27 秒 (日本時間)
5043e65000yoyo@HomeJuly 21, 2022 10:47:01 UTC 2022 年 7 月 21 日 (木) 19 時 47 分 1 秒 (日本時間)
5511e76000 / 15683yoyo@HomeDecember 4, 2022 13:52:09 UTC 2022 年 12 月 4 日 (日) 22 時 52 分 9 秒 (日本時間)

## 7×10234-5479

### c213

name 名前 Serge Batalov January 8, 2015 23:35:49 UTC 2015 年 1 月 9 日 (金) 8 時 35 分 49 秒 (日本時間) `119302412042994007141151320214971817315089966809423896902272736743578916179899306779658607306685762436637697703283229335396299562522560064140904118030405812179863703326143937548364038089667928332890530367427558003<213>` ```103980980272474489192688663856589<33> 1147348406702560757734980679102826920062823710790733408438342087922754477809433172363026833651634378530918572872740686965140876841604659796533414360122366026393389103313939042500927<181>``` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1227639722 Step 1 took 20394ms Step 2 took 14229ms ********** Factor found in step 2: 103980980272474489192688663856589 Found probable prime factor of 33 digits: 103980980272474489192688663856589 Probable prime cofactor ```

### 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)

## 7×10235-5479

### c189

composite cofactor 合成数の残り `143568290379016178593212758876164958910185411414028807400159066061662237698448140694669071673281549838188781757180717063378989121970585205594252780888788284980409267139889819431024358013471<189>`

### 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 00:04:43 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 43 秒 (日本時間)
4511e6585 / 4409CypJune 24, 2015 06:04:44 UTC 2015 年 6 月 24 日 (水) 15 時 4 分 44 秒 (日本時間)

## 7×10236-5479

### c210

composite cofactor 合成数の残り `451213881438918495996597625660880156383389612390050351389523227741882399039881195416488567344420161913973052612267386163425194513291394391459677282627009540760045089090344865394537784307769705140306303336624139<210>`

### 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 00:04:44 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 44 秒 (日本時間)
4511e6585 / 4409CypMay 31, 2015 07:34:18 UTC 2015 年 5 月 31 日 (日) 16 時 34 分 18 秒 (日本時間)

## 7×10238-5479

### c173

name 名前 Seth Troisi November 30, 2023 08:36:59 UTC 2023 年 11 月 30 日 (木) 17 時 36 分 59 秒 (日本時間) `23384294495692567575675647186239208395973234683226303738775402974559396732425881954273613691202342139996845358270634038197152822273032825606784536881103571044407602154121743<173>` ```26207790556496421241055416817620161269<38> 892265009722310918493856344422626942367810837999859983196401068151238236974262015730619684059976417568623674645346745092783833900600947<135>``` ```Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Sun Nov 19 11:33:53 2023 Input number is 23384294495692567575675647186239208395973234683226303738775402974559396732425881954273613691202342139996845358270634038197152822273032825606784536881103571044407602154121743 (173 digits) Using mpz_mod Using lmax = 16777216 with NTT which takes about 4224MB of memory Using B1=4000000000-4000000000, B2=2114508355760232, polynomial x^1 P = 111546435, l = 16777216, s_1 = 7299072, k = s_2 = 5, m_1 = 13 Probability of finding a factor of n digits (assuming one exists): 20 25 30 35 40 45 50 55 60 65 0.77 0.5 0.25 0.11 0.04 0.013 0.0039 0.0011 0.00026 6.1e-05 Step 1 took 0ms Computing F from factored S_1 took 71607ms Computing h took 7378ms Computing DCT-I of h took 23715ms Multi-point evaluation 1 of 5: Computing g_i took 26567ms Computing g*h took 48816ms Computing gcd of coefficients and N took 11688ms Step 2 took 190391ms ********** Factor found in step 2: 26207790556496421241055416817620161269 Found prime factor of 38 digits: 26207790556496421241055416817620161269 Prime cofactor 892265009722310918493856344422626942367810837999859983196401068151238236974262015730619684059976417568623674645346745092783833900600947 has 135 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 00:04:45 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 45 秒 (日本時間)
1CypJanuary 9, 2015 01:21:33 UTC 2015 年 1 月 9 日 (金) 10 時 21 分 33 秒 (日本時間)
4511e6585 / 4409CypFebruary 5, 2015 06:39:03 UTC 2015 年 2 月 5 日 (木) 15 時 39 分 3 秒 (日本時間)

## 7×10239-5479

### c178

composite cofactor 合成数の残り `2329258732572545014051938950526977222996550893609800032341906383910197233277841783547464905777345612661268861489909885592365269941420823585327201467779643082396259182844837768011<178>`

### 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 00:04:45 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 45 秒 (日本時間)
4511e6585 / 4409CypMay 22, 2015 14:08:22 UTC 2015 年 5 月 22 日 (金) 23 時 8 分 22 秒 (日本時間)

## 7×10241-5479

### c239

composite cofactor 合成数の残り `32543003254300325430032543003254300325430032543003254300325430032543003254300325430032543003254300325430032543003254300325430032543003254300325430032543003254300325430032543003254300325430032543003254300325430032543003254300325430032543003<239>`

### 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 00:04:46 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 46 秒 (日本時間)
2100Serge BatalovJanuary 9, 2015 21:35:10 UTC 2015 年 1 月 10 日 (土) 6 時 35 分 10 秒 (日本時間)

## 7×10242-5479

### c234

name 名前 Cyp May 25, 2015 11:05:48 UTC 2015 年 5 月 25 日 (月) 20 時 5 分 48 秒 (日本時間) `182778377354827933687590049863797848487050062272449553207669642556889739271033995514144962603205853204098335841753756274712173529856216441617382037356944021629099128793104914239483203266503613052904855874221744781078270387882044666643<234>` ```101008244906459698937481958071946177583489<42> 1809539186866307537681587779810119925472805139265814784457830065821270638485318422149695803962456968410418884569846608244614451915562896239924345149680195241590305930474511416913519482484067987<193>``` ```Run 438 out of 585: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=313054357 Step 1 took 91525ms Step 2 took 25452ms ********** Factor found in step 2: 101008244906459698937481958071946177583489 Found probable prime factor of 42 digits: 101008244906459698937481958071946177583489 Probable prime cofactor 1809539186866307537681587779810119925472805139265814784457830065821270638485318422149695803962456968410418884569846608244614451915562896239924345149680195241590305930474511416913519482484067987 has 193 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)
403e6301 / 807300Serge BatalovJanuary 9, 2015 00:04:46 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 46 秒 (日本時間)
1CypJanuary 9, 2015 00:13:24 UTC 2015 年 1 月 9 日 (金) 9 時 13 分 24 秒 (日本時間)
4511e6438 / 4409CypMay 25, 2015 11:05:48 UTC 2015 年 5 月 25 日 (月) 20 時 5 分 48 秒 (日本時間)

## 7×10243-5479

### c213

composite cofactor 合成数の残り `169518108251049877093686656226619022904465851874120736346812521465274001568020130605728051297564437935567090538795211885680777387116667437865811419049470749340339139501785896520799653958368483202208184456680136251<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)
403e6301300Serge BatalovJanuary 9, 2015 00:04:47 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 47 秒 (日本時間)
1CypJanuary 9, 2015 00:34:36 UTC 2015 年 1 月 9 日 (金) 9 時 34 分 36 秒 (日本時間)
4511e6585 / 4409CypJune 19, 2015 06:05:20 UTC 2015 年 6 月 19 日 (金) 15 時 5 分 20 秒 (日本時間)

## 7×10244-5479

### c221

name 名前 Serge Batalov January 9, 2015 03:51:04 UTC 2015 年 1 月 9 日 (金) 12 時 51 分 4 秒 (日本時間) `19983526511447313238752868016304689797835773110869423664370522974524650629771950005012185439802651934588549779099750829883779690577540079399411981203900702855737397747359017246911224154478871066969646566405653984013047927<221>` `3184456770489541236376547252146877<34>` `6275332953687821293906289028354682719211628386711917048727343256523461225090479809846108021913192184937401951480289490067942834273576429883407262145623134114464762048883756313156962403651<187>` ```Input number is 19983526511447313238752868016304689797835773110869423664370522974524650629771950005012185439802651934588549779099750829883779690577540079399411981203900702855737397747359017246911224154478871066969646566405653984013047927 (221 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=134727625 Step 1 took 18129ms Step 2 took 12159ms ********** Factor found in step 2: 3184456770489541236376547252146877 Found probable prime factor of 34 digits: 3184456770489541236376547252146877 Composite cofactor 6275332953687821293906289028354682719211628386711917048727343256523461225090479809846108021913192184937401951480289490067942834273576429883407262145623134114464762048883756313156962403651 has 187 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 00:04:48 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 48 秒 (日本時間)
4511e6585 / 4409CypJune 5, 2015 04:00:12 UTC 2015 年 6 月 5 日 (金) 13 時 0 分 12 秒 (日本時間)

## 7×10245-5479

### c160

composite cofactor 合成数の残り `4375281937482355028362989606443885751007176080358999974525535198528060178827666814452602476863292752281755000662803537016634870340462142672719485600392872769833<160>`

### 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 00:04:48 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 48 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 23:39:23 UTC 2015 年 1 月 11 日 (日) 8 時 39 分 23 秒 (日本時間)
4511e6800Dmitry DomanovFebruary 11, 2016 00:36:22 UTC 2016 年 2 月 11 日 (木) 9 時 36 分 22 秒 (日本時間)
5043e6600 / 6935Dmitry DomanovFebruary 22, 2016 23:34:32 UTC 2016 年 2 月 23 日 (火) 8 時 34 分 32 秒 (日本時間)
5511e7144 / 17486Dmitry DomanovFebruary 29, 2016 14:45:07 UTC 2016 年 2 月 29 日 (月) 23 時 45 分 7 秒 (日本時間)

## 7×10246-5479

### c226

name 名前 Cyp February 9, 2015 15:52:41 UTC 2015 年 2 月 10 日 (火) 0 時 52 分 41 秒 (日本時間) `4057211907587688366838505039588546798597021049087016724120562157064571904582990932343683325834673078229466263653847740894184024447039448734949245450032626768329802928927888852587975800765084643071153064368343392791236724803439<226>` ```3251974436493458656670280990185167400843<40> 1247614944957101739055062810802339750061853804152783396459224625824801003537134601157193790147496253771955683876866887352098135553493557599286637919683976806128050873109088053596084323373<187>``` ```Run 411 out of 585: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1447644576 Step 1 took 80475ms Step 2 took 23735ms ********** Factor found in step 2: 3251974436493458656670280990185167400843 Found probable prime factor of 40 digits: 3251974436493458656670280990185167400843 Probable prime cofactor 1247614944957101739055062810802339750061853804152783396459224625824801003537134601157193790147496253771955683876866887352098135553493557599286637919683976806128050873109088053596084323373 has 187 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)
403e6300 / 900Serge BatalovJanuary 9, 2015 00:04:49 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 49 秒 (日本時間)
4511e6411 / 4409CypFebruary 9, 2015 15:52:40 UTC 2015 年 2 月 10 日 (火) 0 時 52 分 40 秒 (日本時間)

## 7×10247-5479

### c220

name 名前 Serge Batalov January 9, 2015 03:51:08 UTC 2015 年 1 月 9 日 (金) 12 時 51 分 8 秒 (日本時間) `3936397609453797325389834942544759127833116415249603009848918689261925386860180300454203484731083020830939801169612826774442273832074281269139118190999872591181700812175759850318474721840849985391824753148498934772849973<220>` `4670339800931846212989531112275629<34>` `842850365763191449996114595541746397041846415484517164586719238945944606478251037674339559498202356420994108627866587176383101541444609420850073421040439394254996365823401510746276647337<186>` ```Input number is 3936397609453797325389834942544759127833116415249603009848918689261925386860180300454203484731083020830939801169612826774442273832074281269139118190999872591181700812175759850318474721840849985391824753148498934772849973 (220 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2306086068 Step 1 took 20023ms Step 2 took 13983ms ********** Factor found in step 2: 4670339800931846212989531112275629 Found probable prime factor of 34 digits: 4670339800931846212989531112275629 Composite cofactor 842850365763191449996114595541746397041846415484517164586719238945944606478251037674339559498202356420994108627866587176383101541444609420850073421040439394254996365823401510746276647337 has 186 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 00:04:50 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 50 秒 (日本時間)
4511e6585 / 4409CypFebruary 1, 2015 03:02:15 UTC 2015 年 2 月 1 日 (日) 12 時 2 分 15 秒 (日本時間)

## 7×10248-5479

### c244

name 名前 Serge Batalov January 9, 2015 03:51:12 UTC 2015 年 1 月 9 日 (金) 12 時 51 分 12 秒 (日本時間) `6140189293264212345289159057217792514232081611887406471759515100479811934773646307553310000614018929326421234528915905721779251423208161188740647175951510047981193477364630755331000061401892932642123452891590572177925142320816118874064717595151<244>` ```251420564393113983933389800926789887<36> 24421985162930381710254459861623349896668374328932058148580188996800101656253178227590071572126347833468043524232618136316315826737795508988752676059926822316775459568415734340321748702715812172155064679788273<209>``` ```Input number is 6140189293264212345289159057217792514232081611887406471759515100479811934773646307553310000614018929326421234528915905721779251423208161188740647175951510047981193477364630755331000061401892932642123452891590572177925142320816118874064717595151 (244 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1042966966 Step 1 took 20875ms Step 2 took 13404ms ********** Factor found in step 2: 251420564393113983933389800926789887 Found probable prime factor of 36 digits: 251420564393113983933389800926789887 Probable prime cofactor 24421985162930381710254459861623349896668374328932058148580188996800101656253178227590071572126347833468043524232618136316315826737795508988752676059926822316775459568415734340321748702715812172155064679788273 has 209 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 00:04:50 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 50 秒 (日本時間)

## 7×10249-5479

### c246

name 名前 Serge Batalov January 9, 2015 18:50:15 UTC 2015 年 1 月 10 日 (土) 3 時 50 分 15 秒 (日本時間) `971008461645165765015952281869884866139547787487862394229435427937300596476626439173255652656401720072132057150783742544042169510334304341794978499098349285615203218199472881120821195727562768761270633929809959772506588985989735053405465390484117<246>` `132784848228388594895630197475094304211<39>` `7312645038950837520252834458914214302914839009828087017580486328573842264045939587557959970597857224286622362274022633846293449038264138619419523302595845577784580983756177158050095450836530368478407525504247<208>` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1082641454 Step 1 took 22857ms ********** Factor found in step 1: 132784848228388594895630197475094304211 Found probable prime factor of 39 digits: 132784848228388594895630197475094304211 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)
403e62401300Serge BatalovJanuary 9, 2015 00:04:51 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 51 秒 (日本時間)
1CypJanuary 9, 2015 00:19:16 UTC 2015 年 1 月 9 日 (金) 9 時 19 分 16 秒 (日本時間)
2100Serge BatalovJanuary 9, 2015 18:41:20 UTC 2015 年 1 月 10 日 (土) 3 時 41 分 20 秒 (日本時間)

## 7×10250-5479

### c222

composite cofactor 合成数の残り `140089743581368732601431681530508972741166826516217493416464227625724847431726114193541614153152544996132689217205532548420240426217011963744465578286194422270086117601736938275163829536648612764675424312529509861803772417<222>`

### 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 00:04:51 UTC 2015 年 1 月 9 日 (金) 9 時 4 分 51 秒 (日本時間)
4511e6600 / 2655Dmitry DomanovApril 21, 2015 11:01:57 UTC 2015 年 4 月 21 日 (火) 20 時 1 分 57 秒 (日本時間)
5043e6500 / 7407Dmitry DomanovJune 20, 2015 09:44:59 UTC 2015 年 6 月 20 日 (土) 18 時 44 分 59 秒 (日本時間)

## 7×10251-5479

### c234

composite cofactor 合成数の残り `621812725560903880032531026352573213265587464478656778746838675132783882156554532797998391706429978041414017293093563414827856755225561217187297219114889370468915540272433363108652428871456394518839381803199739261819220635340956231913<234>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10252-5479

### c179

composite cofactor 合成数の残り `98388194136865607262426321951424832183092644441700544738795604480090946447697821156955893649510086903192630976929651954916409973838707585682319876192468502113935082493872853406647<179>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10253-5479

### c247

composite cofactor 合成数の残り `6529018174641349372705924533690526590499140641300684884679351056632983461903691945252876801997357239986281600098196433346605894565497104986705519921107075245162300665577439891760071267031526856603267102040252889393675265476874357532952654265076459<247>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10255-5479

### c218

composite cofactor 合成数の残り `50915872072467279350015878700966886566666887711880928461759090178615736581648715464429617833375300873441490535703288648193155036247354549906208603257148741151466242078789381259403068211898831936435377171099072778136879<218>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10256-5479

### c256

composite cofactor 合成数の残り `7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777717<256>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)
4511e62800Serge BatalovJuly 23, 2018 05:12:03 UTC 2018 年 7 月 23 日 (月) 14 時 12 分 3 秒 (日本時間)
5043e64324324Dmitry DomanovJuly 25, 2018 21:40:26 UTC 2018 年 7 月 26 日 (木) 6 時 40 分 26 秒 (日本時間)
4000Dmitry DomanovSeptember 12, 2020 22:26:43 UTC 2020 年 9 月 13 日 (日) 7 時 26 分 43 秒 (日本時間)
5511e7106901040Dmitry DomanovSeptember 18, 2020 09:00:31 UTC 2020 年 9 月 18 日 (金) 18 時 0 分 31 秒 (日本時間)
9650yoyo@HomeMarch 1, 2024 22:50:51 UTC 2024 年 3 月 2 日 (土) 7 時 50 分 51 秒 (日本時間)
6026e712000 / 37424yoyo@HomeMay 1, 2024 00:51:40 UTC 2024 年 5 月 1 日 (水) 9 時 51 分 40 秒 (日本時間)

## 7×10257-5479

### c225

composite cofactor 合成数の残り `109764436923064885941818264564071861890068555299195390415526178390865545485786610035355399720566308986829441680894535463613678125126983353025043122311798111317087431816907990086210264693879391138342144632304464353635354729893<225>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10258-5479

### c243

composite cofactor 合成数の残り `152662734732839824142211760872030002815849665639302983678958748288342365384718164900979365496972593150569852917496653583015235944631927926352848126437028171270806880371102694799431970716967969157633417884062112720480681734833645284518433639969<243>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10259-5479

### c230

composite cofactor 合成数の残り `22512753992954631991880691499694146593901477418331302335600851205623985357155679840647466884503681490098389385789999861036579800998436744445694492177006767017786836698159661971699430685939948724937386835161475566129966653112795479<230>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10261-5479

### c210

composite cofactor 合成数の残り `216064408717938323089294286019118445268085983164273553307474422904212042705330981584901787217976462103549899412488477141895133060221443957307210197702852862653485735333811035979968751231243366211089477291770479<210>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10262-5479

### c248

composite cofactor 合成数の残り `46770474015045291687381107065135274761038595396559750047987101255021855838662159840317617193774405830410464694611687885753152481346380138406177526013206268802378993918566245225002123507943669534937868218469276009326507609576644536211365347857434623<248>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10263-5479

### c239

composite cofactor 合成数の残り `33429507436450470107351335385948370788468136372843368252763443723866736778285659643977915645270608411497330764899325133223974992358529623086814039457283627422924852389961202259915153203904003111417712440638170855821660481705215411975594139<239>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10264-5479

### c186

composite cofactor 合成数の残り `550838262919398814622850044239341713531132036914266597791199832070782708220193198368500381903197904546000948652266714095793397166552799413050763949589867424440270515609705820621634541619<186>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10266-5479

### c244

composite cofactor 合成数の残り `5604585408901214598166045971405865732762821363197146223528280929388466724551946623297967852417586921536630366490730706870142735822308869330002279682157721089888983984807780227864383622869942929884612008094796661759171126898454339661979161660267<244>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10267-5479

### c210

composite cofactor 合成数の残り `848874287258715947604134887364285598754036099866834527594361393048796708560322103847176305552122502025614557910517884507063073452566842851255509497280970285895815218182299349330690700418745608144699210746992227<210>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10268-5479

### c263

composite cofactor 合成数の残り `18171910950367578818716756760405171310498510033101433789733856788208195064560905625738071633153768893270915415206099324030872519112307342049101022585348922756138925816807927314432988352583876997969159151932491870016840169476433497685287943014964049470171976369247<263>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10270-5479

### c175

composite cofactor 合成数の残り `8015384765335608372858309473973767014566581747302441215994790696631667437445637068652669331363938777169800647911116675407015006102720227656131528948652009818294266558792090103<175>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)
4511e62800Serge BatalovJuly 23, 2018 05:15:34 UTC 2018 年 7 月 23 日 (月) 14 時 15 分 34 秒 (日本時間)
5043e62116 / 6831324Dmitry DomanovJuly 26, 2018 22:07:57 UTC 2018 年 7 月 27 日 (金) 7 時 7 分 57 秒 (日本時間)
1792Dmitry DomanovMay 15, 2024 17:02:40 UTC 2024 年 5 月 16 日 (木) 2 時 2 分 40 秒 (日本時間)

## 7×10273-5479

### c255

composite cofactor 合成数の残り `217482318024118411350015220928538150092337551218506247779967309185361087546292562102536855331366271300828541343838187735239771956828035989282705462556510844793648981220686996668013449885437049412157475128323644120511747352073592025940814814603565944588299<255>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10274-5479

### c232

composite cofactor 合成数の残り `5173452052267878045061933676873183217992217272519558173842701822619454600470048113319773285735729369505505786927855641783441820592635807253404631075752601180945135492008362476837503459295246904448380334132968572958671781067506743081<232>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10275-5479

### c241

composite cofactor 合成数の残り `1556435723713685107733794206715155594433473998267403394492117914519759708394319969777623221247342292295516135010755063001779742384544264857411573507493883056356782223151472746980389030384377055894041458743331678232524985744651409073987495391<241>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10276-5479

### c247

composite cofactor 合成数の残り `3720343569030874797136705092928384265921076306750588686993530560267332588409004876477954188465724500710678752480888425528262876282615686234756652895427022336393438940623068252090572229752704662593830288759617640293529075505032628951374694654426143<247>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10278-5479

### c226

composite cofactor 合成数の残り `5119882650354282866561052017291367103376890202012553297665488990232613557070150795972521876891899847459817798711338220824395348243703188912239718855487858752756861239145168586704899200019666007748072542058410651363457352196409<226>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10279-5479

### c217

composite cofactor 合成数の残り `5006913422873713767374593373651443257242263690442769901977096371582226264063871664730853436859493888652685808755790120954626041502147005841537348877286404770718294074772216735394224737806757727178118171603095623396669<217>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10281-5479

### c268

composite cofactor 合成数の残り `3190760719165480166460428196165724320308747054673436454347500959809177686825140459506125302279034574508732454601735972236757925531377105681259835345057242972801343519361275439651674094391835926763374532875827650724196795116830413923628488313652054740241806654801390711<268>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10282-5479

### c282

composite cofactor 合成数の残り `259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259239<282>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10284-5479

### c257

composite cofactor 合成数の残り `27576674248650660462818252146421405252858865143162007792312312328464665225081808430297062075715015749234066901442634291031452263016498918121886894888399725671374381631659789694670981333705871826044480881048881512172191304787173637347125929692257197035911069<257>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10286-5479

### c251

composite cofactor 合成数の残り `63007579732826582040571316217293979837107167980467030036188511020321705074090053201065201434155519393102873963885505310862736780713970817516761646030956046807724309622455909216752222404140299144875744737974473418996722617501147340304074811520640752999<251>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10289-5479

### c285

composite cofactor 合成数の残り `207612251495549683094727538578805161833750040780977972340116322178623649408156788772329439120673138237134713658216848030797794564711255846509296580033040006880863192423932353996684135754685363632858494455269940415283820777240951813196427882918553713738295859321938386615534735012619859<285>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10290-5479

### c278

composite cofactor 合成数の残り `38471632687115027546898033013798720328730139963663565239467625503324641375129169995235067172694366128657421882205021706530363903701100006150986577852723478457550909031660460378793365008365316043146784094954286700336764705820673296070853420320729846217686025162375167809138741971<278>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10292-5479

### c251

composite cofactor 合成数の残り `31152099482221554530348198628686660397299409528685439335682092748724921980208423631430746251124039721286787024696413016966873711923513109547328272589889630362342571036389109261780323390684515704312272463572645904223384123494729874708067074871946973021<251>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10293-5479

### c285

composite cofactor 合成数の残り `540796797625099825004877620145322869103805599966754285095940863215043003354014785769185363396786651714747708602056710636096217895645428705741084820128006864670591403627140963628956279416550064503422151705719106065705669057639786027319263406053050328683044074993858692251998022633679431<285>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10294-5479

### c253

composite cofactor 合成数の残り `3265686920468583718381703079102056819821982626036986313983393883895179758213216524406739110390948176761223448697405625178470452530267285834068176603884832179355143970600174600293400773399066028198026295232620003978719504703873219834084636297805536818787<253>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10298-5479

### c265

composite cofactor 合成数の残り `1032133764399819099132520448882155661754528368261815626087560022502586103870066004738384917697541140283546787683512275961590570099650037887360864052874137631473359709665968650584936154650102959639120023685878975927766423311598333254685521841184489407977002143327697<265>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10300-5479

### c296

name 名前 Dmitry Domanov July 28, 2018 19:50:09 UTC 2018 年 7 月 29 日 (日) 4 時 50 分 9 秒 (日本時間) `25610911711869925838117085770943323052381631854120246889188902426085079448706831893634224958931073719180011781019387460165885533859454633928604095550652895313569026895115999136546405142671071743481108293910822805419268918231676307345575349131607157883953300331844241752371753359602811346365628693<296>` `71751042473409551361595466654555599637653<41>` `356941318606780600260338708060499684653049010066632279602928584688487204325327999770829366993712164761637702937786424392765135319492799462315561578810555449061427838626526978209207510454378307683496545468531323088036892000277165641075051671135655582679681<255>` ```GMP-ECM 6.4.3 [configured with GMP 6.1.0, --enable-asm-redc] [ECM] Input number is 25610911711869925838117085770943323052381631854120246889188902426085079448706831893634224958931073719180011781019387460165885533859454633928604095550652895313569026895115999136546405142671071743481108293910822805419268918231676307345575349131607157883953300331844241752371753359602811346365628693 (296 digits) Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=4196825515 Step 1 took 315950ms Step 2 took 60945ms ********** Factor found in step 2: 71751042473409551361595466654555599637653 Found probable prime factor of 41 digits: 71751042473409551361595466654555599637653 Composite cofactor 356941318606780600260338708060499684653049010066632279602928584688487204325327999770829366993712164761637702937786424392765135319492799462315561578810555449061427838626526978209207510454378307683496545468531323088036892000277165641075051671135655582679681 has 255 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)
4511e61000Dmitry DomanovJuly 24, 2018 07:46:44 UTC 2018 年 7 月 24 日 (火) 16 時 46 分 44 秒 (日本時間)
5043e6836 / 7235Dmitry DomanovJuly 28, 2018 19:42:13 UTC 2018 年 7 月 29 日 (日) 4 時 42 分 13 秒 (日本時間)