## 718×1099-79

### c98

name 名前 KTakahashi January 8, 2015 13:22:23 UTC 2015 年 1 月 8 日 (木) 22 時 22 分 23 秒 (日本時間) `35005606747598849397884062210521183755058261420701087221490907318024474672127151284676515040709863<98>` ```122651378375497642490161485457133249<36> 285407365259516746673707226175815503891958712993819295537982887<63>``` ```Input number is 35005606747598849397884062210521183755058261420701087221490907318024474672127151284676515040709863 (98 digits) Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=4193354152 Step 1 took 764ms Step 2 took 437ms ********** Factor found in step 2: 122651378375497642490161485457133249 Found probable prime factor of 36 digits: 122651378375497642490161485457133249 Probable prime cofactor 285407365259516746673707226175815503891958712993819295537982887 has 63 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)

## 718×10101-79

### c96

name 名前 KTakahashi January 8, 2015 13:29:00 UTC 2015 年 1 月 8 日 (木) 22 時 29 分 0 秒 (日本時間) `163167292955232355690590807383330914344127397440840090305688219313949299817898710739543279157497<96>` ```120709080608355032024295414404398457<36> 1351740002764452541766544068932499281666265447957221416910721<61>``` ```Number: 79777_101 N=163167292955232355690590807383330914344127397440840090305688219313949299817898710739543279157497 ( 96 digits) SNFS difficulty: 105 digits. Divisors found: r1=120709080608355032024295414404398457 (pp36) r2=1351740002764452541766544068932499281666265447957221416910721 (pp61) Version: Msieve v. 1.51 (SVN Official Release) Total time: 0.61 hours. Scaled time: 1.03 units (timescale=1.686). Factorization parameters were as follows: n: 163167292955232355690590807383330914344127397440840090305688219313949299817898710739543279157497 m: 50000000000000000000000000 c4: 1436 c0: -875 skew: 0.88 type: snfs Factor base limits: 450000/500000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved rational special-q in [225000, 365001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 46512 x 46760 Total sieving time: 0.59 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.01 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,105.000,4,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000 total time: 0.61 hours. --------- CPU info (if available) ----------```

### ECM

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

## 718×10107-79

### c97

name 名前 KTakahashi January 8, 2015 13:34:47 UTC 2015 年 1 月 8 日 (木) 22 時 34 分 47 秒 (日本時間) `8314956296688545463284184116353155404951498488187860836722883664813691689006679820279565950339659<97>` ```66348095912710079375719902140023197347704349<44> 125323209088441640239296588878282458954662436414541191<54>``` ```Number: 79777_107 N=8314956296688545463284184116353155404951498488187860836722883664813691689006679820279565950339659 ( 97 digits) SNFS difficulty: 111 digits. Divisors found: r1=66348095912710079375719902140023197347704349 (pp44) r2=125323209088441640239296588878282458954662436414541191 (pp54) Version: Msieve v. 1.51 (SVN Official Release) Total time: 1.51 hours. Scaled time: 2.57 units (timescale=1.699). Factorization parameters were as follows: n: 8314956296688545463284184116353155404951498488187860836722883664813691689006679820279565950339659 m: 5000000000000000000000 c5: 2872 c0: -875 skew: 0.79 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved rational special-q in [300000, 500001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 84994 x 85221 Total sieving time: 1.47 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.03 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,111.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 1.51 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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)

## 718×10111-79

### c99

name 名前 KTakahashi January 8, 2015 13:42:03 UTC 2015 年 1 月 8 日 (木) 22 時 42 分 3 秒 (日本時間) `119757474715155952370442562884313413630591736665854257477848069993029096621529141136445209331998031<99>` ```1697097292681632531951468866191919408683<40> 70566063142982039523780283249604354654594697220616474875757<59>``` ```Number: 79777_111 N=119757474715155952370442562884313413630591736665854257477848069993029096621529141136445209331998031 ( 99 digits) SNFS difficulty: 114 digits. Divisors found: r1=1697097292681632531951468866191919408683 (pp40) r2=70566063142982039523780283249604354654594697220616474875757 (pp59) Version: Msieve v. 1.51 (SVN Official Release) Total time: 1.72 hours. Scaled time: 3.57 units (timescale=2.080). Factorization parameters were as follows: n: 119757474715155952370442562884313413630591736665854257477848069993029096621529141136445209331998031 m: 20000000000000000000000 c5: 1795 c0: -56 skew: 0.50 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved rational special-q in [300000, 600001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 109794 x 110019 Total sieving time: 1.66 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.04 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,114.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 1.72 hours. --------- CPU info (if available) ----------```

### ECM

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

## 718×10114-79

### c96

name 名前 KTakahashi January 8, 2015 13:49:42 UTC 2015 年 1 月 8 日 (木) 22 時 49 分 42 秒 (日本時間) `139391976123544956105662101851728134739409386097390445883568860614263938693169259030904173727789<96>` ```18482763567128729344849462961799073<35> 7541728033109244522801351478862654846176629408719355904718093<61>``` ```Input number is 139391976123544956105662101851728134739409386097390445883568860614263938693169259030904173727789 (96 digits) Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=3762200830 Step 1 took 530ms Step 2 took 375ms ********** Factor found in step 2: 18482763567128729344849462961799073 Found probable prime factor of 35 digits: 18482763567128729344849462961799073 Probable prime cofactor 7541728033109244522801351478862654846176629408719355904718093 has 61 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)

## 718×10119-79

### c121

name 名前 KTakahashi January 8, 2015 14:04:11 UTC 2015 年 1 月 8 日 (木) 23 時 4 分 11 秒 (日本時間) `2659259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259<121>` ```599843541929224564071347743880019663229<39> 4433254796253228312737040239307641901996505929960071257947056931758497356514730071<82>``` ```Number: 79777_119 N=2659259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259 ( 121 digits) SNFS difficulty: 122 digits. Divisors found: r1=599843541929224564071347743880019663229 (pp39) r2=4433254796253228312737040239307641901996505929960071257947056931758497356514730071 (pp82) Version: Msieve v. 1.51 (SVN Official Release) Total time: 2.52 hours. Scaled time: 4.24 units (timescale=1.678). Factorization parameters were as follows: n: 2659259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259 m: 1000000000000000000000000 c5: 359 c0: -35 skew: 0.63 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved rational special-q in [300000, 550001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 105045 x 105274 Total sieving time: 2.47 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.04 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,122.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 2.52 hours. --------- CPU info (if available) ----------```

### ECM

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

## 718×10120-79

### c121

name 名前 KTakahashi January 8, 2015 14:09:42 UTC 2015 年 1 月 8 日 (木) 23 時 9 分 42 秒 (日本時間) `1855297157622739018087855297157622739018087855297157622739018087855297157622739018087855297157622739018087855297157622739<121>` ```4933012094140936596648723771514471<34> 376098238199400005847715406705103240475590757385024401725191604301170266725062083267509<87>``` ```Number: 79777_120 N=1855297157622739018087855297157622739018087855297157622739018087855297157622739018087855297157622739018087855297157622739 ( 121 digits) SNFS difficulty: 122 digits. Divisors found: r1=4933012094140936596648723771514471 (pp34) r2=376098238199400005847715406705103240475590757385024401725191604301170266725062083267509 (pp87) Version: Msieve v. 1.51 (SVN Official Release) Total time: 2.11 hours. Scaled time: 3.67 units (timescale=1.737). Factorization parameters were as follows: n: 1855297157622739018087855297157622739018087855297157622739018087855297157622739018087855297157622739018087855297157622739 m: 1000000000000000000000000 c5: 718 c0: -7 skew: 0.40 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved rational special-q in [300000, 500001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 127831 x 128079 Total sieving time: 2.04 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.05 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,122.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 2.11 hours. --------- CPU info (if available) ----------```

### ECM

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

## 718×10129-79

### c123

name 名前 KTakahashi January 8, 2015 16:44:10 UTC 2015 年 1 月 9 日 (金) 1 時 44 分 10 秒 (日本時間) `123159483853677341161746707472326560990062637416019604191810702339140820507010245797157441272849135153700729610865070109899<123>` ```601778191055217988617403319197937<33> 204659267624367045318228071712299867370115380874407461642267632797315529412365915320168827<90>``` ```Number: 79777_129 N=123159483853677341161746707472326560990062637416019604191810702339140820507010245797157441272849135153700729610865070109899 ( 123 digits) SNFS difficulty: 132 digits. Divisors found: r1=601778191055217988617403319197937 (pp33) r2=204659267624367045318228071712299867370115380874407461642267632797315529412365915320168827 (pp90) Version: Msieve v. 1.51 (SVN Official Release) Total time: 4.75 hours. Scaled time: 8.53 units (timescale=1.795). Factorization parameters were as follows: n: 123159483853677341161746707472326560990062637416019604191810702339140820507010245797157441272849135153700729610865070109899 m: 100000000000000000000000000 c5: 359 c0: -35 skew: 0.63 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, 1250001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 137551 x 137780 Total sieving time: 4.66 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.07 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,132.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000 total time: 4.75 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 16:43:34 UTC 2015 年 1 月 9 日 (金) 1 時 43 分 34 秒 (日本時間)

## 718×10133-79

### c122

name 名前 KTakahashi January 8, 2015 16:45:05 UTC 2015 年 1 月 9 日 (金) 1 時 45 分 5 秒 (日本時間) `93297896767114751826617491576478351400701766229601733940680657802700261395367218509731623416318120094114723417342474526803<122>` ```1332666353618793509905083582481652640243197137<46> 70008443233948731288251828183117022781119058511455927176379911709039334427619<77>``` ```Number: 79777_133 N=93297896767114751826617491576478351400701766229601733940680657802700261395367218509731623416318120094114723417342474526803 ( 122 digits) SNFS difficulty: 137 digits. Divisors found: r1=1332666353618793509905083582481652640243197137 (pp46) r2=70008443233948731288251828183117022781119058511455927176379911709039334427619 (pp77) Version: Msieve v. 1.51 (SVN Official Release) Total time: 7.62 hours. Scaled time: 13.27 units (timescale=1.742). Factorization parameters were as follows: n: 93297896767114751826617491576478351400701766229601733940680657802700261395367218509731623416318120094114723417342474526803 m: 1000000000000000000000000000 c5: 359 c0: -350 skew: 0.99 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, 2000001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 162448 x 162676 Total sieving time: 7.51 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.09 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,137.000,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000 total time: 7.62 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 16:44:21 UTC 2015 年 1 月 9 日 (金) 1 時 44 分 21 秒 (日本時間)

## 718×10136-79

### c128

name 名前 Jo Yeong Uk January 10, 2015 13:20:35 UTC 2015 年 1 月 10 日 (土) 22 時 20 分 35 秒 (日本時間) `35858722529466666401018457986951407724703909690018346610513363109587576013394494732202761623036598365601116118113032078224348113<128>` ```527902745189893873022914774986775695049<39> 67926758964982822847916564594912479955720710371649887393670512111986098661214188575553737<89>``` ```Number: 79777_136 N=35858722529466666401018457986951407724703909690018346610513363109587576013394494732202761623036598365601116118113032078224348113 ( 128 digits) SNFS difficulty: 138 digits. Divisors found: r1=527902745189893873022914774986775695049 r2=67926758964982822847916564594912479955720710371649887393670512111986098661214188575553737 Version: Total time: 2.60 hours. Scaled time: 13.38 units (timescale=5.146). Factorization parameters were as follows: n: 35858722529466666401018457986951407724703909690018346610513363109587576013394494732202761623036598365601116118113032078224348113 m: 1000000000000000000000000000 deg: 5 c5: 7180 c0: -7 skew: 0.25 # Murphy_E = 2.558e-09 type: snfs lss: 1 rlim: 1500000 alim: 1500000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved rational special-q in [750000, 1825001) Primes: rational ideals reading, algebraic ideals reading, Relations: 3890683 Max relations in full relation-set: Initial matrix: Pruned matrix : 265626 x 265874 Total sieving time: 2.17 hours. Total relation processing time: 0.35 hours. Matrix solve time: 0.06 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,138,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,48,48,2.3,2.3,25000 total time: 2.60 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120) Total of 12 processors activated (81602.88 BogoMIPS).``` `GGNFS / Msieve v1.39` `Core i7-4930K`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 16:45:26 UTC 2015 年 1 月 9 日 (金) 1 時 45 分 26 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:09:40 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 40 秒 (日本時間)

## 718×10137-79

### c126

name 名前 KTakahashi January 8, 2015 16:46:49 UTC 2015 年 1 月 9 日 (金) 1 時 46 分 49 秒 (日本時間) `311010774429612523736902806688755350188332622847265765651120363745950180362724595969704208229264220895034388577204041335028653<126>` ```2565933576892504382023357531048822283<37> 185012705559257548001885904013213046399<39> 655131483467729036174654824078831893800308815045209<51>``` ```GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM] Input number is 311010774429612523736902806688755350188332622847265765651120363745950180362724595969704208229264220895034388577204041335028653 (126 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1473253803 Step 1 took 3213ms Step 2 took 2013ms ********** Factor found in step 2: 2565933576892504382023357531048822283 Found probable prime factor of 37 digits: 2565933576892504382023357531048822283 Composite cofactor 121207648253414556252715934437418585321709478743300752967522460329565540647657055799652391 has 90 digits Msieve v. 1.51 (SVN Official Release) Fri Jan 02 09:53:15 2015 random seeds: 43cd6900 f6dd3904 factoring 121207648253414556252715934437418585321709478743300752967522460329565540647657055799652391 (90 digits) searching for 15-digit factors commencing quadratic sieve (90-digit input) using multiplier of 7 using VC8 64kb sieve core sieve interval: 17 blocks of size 65536 processing polynomials in batches of 6 using a sieve bound of 1565659 (59130 primes) using large prime bound of 125252720 (26 bits) using double large prime bound of 376718347351520 (42-49 bits) using trial factoring cutoff of 49 bits polynomial 'A' values have 11 factors 59243 relations (15348 full + 43895 combined from 638235 partial), need 59226 begin with 653583 relations reduce to 146559 relations in 9 passes attempting to read 146559 relations recovered 146559 relations recovered 127763 polynomials attempting to build 59243 cycles found 59243 cycles in 6 passes distribution of cycle lengths: length 1 : 15348 length 2 : 11028 length 3 : 10385 length 4 : 7885 length 5 : 5960 length 6 : 3751 length 7 : 2172 length 9+: 2714 largest cycle: 19 relations matrix is 59130 x 59243 (15.8 MB) with weight 3666092 (61.88/col) sparse part has weight 3666092 (61.88/col) filtering completed in 3 passes matrix is 55608 x 55672 (15.0 MB) with weight 3484147 (62.58/col) sparse part has weight 3484147 (62.58/col) saving the first 48 matrix rows for later matrix includes 64 packed rows matrix is 55560 x 55672 (11.5 MB) with weight 2948159 (52.96/col) sparse part has weight 2470762 (44.38/col) using block size 22224 for processor cache size 1024 kB commencing Lanczos iteration memory use: 6.9 MB lanczos halted after 880 iterations (dim = 55560) recovered 18 nontrivial dependencies prp39 factor: 185012705559257548001885904013213046399 prp51 factor: 655131483467729036174654824078831893800308815045209 elapsed time 01:11:06```

### 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)

## 718×10140-79

### c118

name 名前 Jo Yeong Uk January 12, 2015 21:56:31 UTC 2015 年 1 月 13 日 (火) 6 時 56 分 31 秒 (日本時間) `4245021147661835036038139263624504209728223430258889838093896549804341875430628616953197594546121224029148213610144881<118>` ```159147228257664963838671917308748178195118888439<48> 26673547470075924864440160265205907766643063491693450271905204142513879<71>``` ```Number: 79777_140 N=4245021147661835036038139263624504209728223430258889838093896549804341875430628616953197594546121224029148213610144881 ( 118 digits) SNFS difficulty: 142 digits. Divisors found: r1=159147228257664963838671917308748178195118888439 r2=26673547470075924864440160265205907766643063491693450271905204142513879 Version: Total time: 2.63 hours. Scaled time: 13.80 units (timescale=5.250). Factorization parameters were as follows: n: 4245021147661835036038139263624504209728223430258889838093896549804341875430628616953197594546121224029148213610144881 m: 10000000000000000000000000000 deg: 5 c5: 718 c0: -7 skew: 0.40 # Murphy_E = 2.318e-09 type: snfs lss: 1 rlim: 1900000 alim: 1900000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 Factor base limits: 1900000/1900000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved rational special-q in [950000, 2000001) Primes: rational ideals reading, algebraic ideals reading, Relations: 4347660 Max relations in full relation-set: Initial matrix: Pruned matrix : 288327 x 288575 Total sieving time: 2.34 hours. Total relation processing time: 0.20 hours. Matrix solve time: 0.07 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,142,5,0,0,0,0,0,0,0,0,1900000,1900000,26,26,48,48,2.3,2.3,50000 total time: 2.63 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120) Total of 12 processors activated (81602.88 BogoMIPS).``` `GGNFS / Msieve v1.39` `Core i7-4930K`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 16:47:14 UTC 2015 年 1 月 9 日 (金) 1 時 47 分 14 秒 (日本時間)

## 718×10142-79

### c134

name 名前 Cyp January 16, 2015 06:42:54 UTC 2015 年 1 月 16 日 (金) 15 時 42 分 54 秒 (日本時間) `11593834115101707678366809295606568835579931824175956038767952561869929623314728214118920062375476471009607514945158530324303896406613<134>` ```7775976749034100447399296026027279363<37> 1490981067624957292281239845615607458413291651822135130864760466754569508971438710905989421335751<97>``` ```01/16/15 06:41:48 v1.34.3, 01/16/15 06:41:48 v1.34.3, **************************** 01/16/15 06:41:48 v1.34.3, Starting factorization of 11593834115101707678366809295606568835579931824175956038767952561869929623314728214118920062375476471009607514945158530324303896406613 01/16/15 06:41:48 v1.34.3, using pretesting plan: none 01/16/15 06:41:48 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 01/16/15 06:41:48 v1.34.3, **************************** 01/16/15 06:41:48 v1.34.3, nfs: commencing nfs on c134: 11593834115101707678366809295606568835579931824175956038767952561869929623314728214118920062375476471009607514945158530324303896406613 01/16/15 06:41:48 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 01/16/15 06:41:48 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/16/15 06:42:32 v1.34.3, nfs: commencing lattice sieving with 8 threads [66 lines snipped] 01/16/15 07:34:12 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/16/15 07:35:00 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/16/15 07:35:46 v1.34.3, nfs: commencing msieve filtering 01/16/15 07:36:34 v1.34.3, nfs: commencing msieve linear algebra 01/16/15 07:38:50 v1.34.3, nfs: commencing msieve sqrt 01/16/15 07:42:53 v1.34.3, prp97 = 1490981067624957292281239845615607458413291651822135130864760466754569508971438710905989421335751 01/16/15 07:42:53 v1.34.3, prp37 = 7775976749034100447399296026027279363 01/16/15 07:42:53 v1.34.3, NFS elapsed time = 3664.4352 seconds. 01/16/15 07:42:53 v1.34.3, 01/16/15 07:42:53 v1.34.3, 01/16/15 07:42:53 v1.34.3, Total factoring time = 3664.4360 seconds -- Fri Jan 16 07:35:46 2015 Fri Jan 16 07:35:46 2015 commencing relation filtering Fri Jan 16 07:35:46 2015 estimated available RAM is 15987.3 MB Fri Jan 16 07:35:46 2015 commencing duplicate removal, pass 1 Fri Jan 16 07:35:59 2015 found 671966 hash collisions in 4468890 relations Fri Jan 16 07:36:03 2015 added 182011 free relations Fri Jan 16 07:36:03 2015 commencing duplicate removal, pass 2 Fri Jan 16 07:36:06 2015 found 529001 duplicates and 4121900 unique relations Fri Jan 16 07:36:06 2015 memory use: 20.6 MB Fri Jan 16 07:36:06 2015 reading ideals above 100000 Fri Jan 16 07:36:06 2015 commencing singleton removal, initial pass Fri Jan 16 07:36:23 2015 memory use: 94.1 MB Fri Jan 16 07:36:23 2015 reading all ideals from disk Fri Jan 16 07:36:23 2015 memory use: 133.2 MB Fri Jan 16 07:36:23 2015 keeping 4643097 ideals with weight <= 200, target excess is 21732 Fri Jan 16 07:36:23 2015 commencing in-memory singleton removal Fri Jan 16 07:36:23 2015 begin with 4121900 relations and 4643097 unique ideals Fri Jan 16 07:36:24 2015 reduce to 1600035 relations and 1455813 ideals in 15 passes Fri Jan 16 07:36:24 2015 max relations containing the same ideal: 104 Fri Jan 16 07:36:24 2015 removing 309178 relations and 249672 ideals in 59506 cliques Fri Jan 16 07:36:24 2015 commencing in-memory singleton removal Fri Jan 16 07:36:24 2015 begin with 1290857 relations and 1455813 unique ideals Fri Jan 16 07:36:25 2015 reduce to 1244610 relations and 1157774 ideals in 8 passes Fri Jan 16 07:36:25 2015 max relations containing the same ideal: 87 Fri Jan 16 07:36:25 2015 removing 245074 relations and 185568 ideals in 59506 cliques Fri Jan 16 07:36:25 2015 commencing in-memory singleton removal Fri Jan 16 07:36:25 2015 begin with 999536 relations and 1157774 unique ideals Fri Jan 16 07:36:25 2015 reduce to 963789 relations and 934797 ideals in 7 passes Fri Jan 16 07:36:25 2015 max relations containing the same ideal: 72 Fri Jan 16 07:36:25 2015 relations with 0 large ideals: 492 Fri Jan 16 07:36:25 2015 relations with 1 large ideals: 161 Fri Jan 16 07:36:25 2015 relations with 2 large ideals: 2255 Fri Jan 16 07:36:25 2015 relations with 3 large ideals: 18884 Fri Jan 16 07:36:25 2015 relations with 4 large ideals: 81365 Fri Jan 16 07:36:25 2015 relations with 5 large ideals: 196549 Fri Jan 16 07:36:25 2015 relations with 6 large ideals: 288540 Fri Jan 16 07:36:25 2015 relations with 7+ large ideals: 375543 Fri Jan 16 07:36:25 2015 commencing 2-way merge Fri Jan 16 07:36:26 2015 reduce to 589410 relation sets and 560418 unique ideals Fri Jan 16 07:36:26 2015 commencing full merge Fri Jan 16 07:36:32 2015 memory use: 74.7 MB Fri Jan 16 07:36:32 2015 found 297118 cycles, need 290618 Fri Jan 16 07:36:32 2015 weight of 290618 cycles is about 20481003 (70.47/cycle) Fri Jan 16 07:36:32 2015 distribution of cycle lengths: Fri Jan 16 07:36:32 2015 1 relations: 25319 Fri Jan 16 07:36:32 2015 2 relations: 29287 Fri Jan 16 07:36:32 2015 3 relations: 30331 Fri Jan 16 07:36:32 2015 4 relations: 28700 Fri Jan 16 07:36:32 2015 5 relations: 27597 Fri Jan 16 07:36:32 2015 6 relations: 24731 Fri Jan 16 07:36:32 2015 7 relations: 22704 Fri Jan 16 07:36:32 2015 8 relations: 19653 Fri Jan 16 07:36:32 2015 9 relations: 17198 Fri Jan 16 07:36:32 2015 10+ relations: 65098 Fri Jan 16 07:36:32 2015 heaviest cycle: 21 relations Fri Jan 16 07:36:32 2015 commencing cycle optimization Fri Jan 16 07:36:32 2015 start with 1869988 relations Fri Jan 16 07:36:34 2015 pruned 54613 relations Fri Jan 16 07:36:34 2015 memory use: 58.0 MB Fri Jan 16 07:36:34 2015 distribution of cycle lengths: Fri Jan 16 07:36:34 2015 1 relations: 25319 Fri Jan 16 07:36:34 2015 2 relations: 29848 Fri Jan 16 07:36:34 2015 3 relations: 31356 Fri Jan 16 07:36:34 2015 4 relations: 29579 Fri Jan 16 07:36:34 2015 5 relations: 28433 Fri Jan 16 07:36:34 2015 6 relations: 25546 Fri Jan 16 07:36:34 2015 7 relations: 23263 Fri Jan 16 07:36:34 2015 8 relations: 19983 Fri Jan 16 07:36:34 2015 9 relations: 17433 Fri Jan 16 07:36:34 2015 10+ relations: 59858 Fri Jan 16 07:36:34 2015 heaviest cycle: 21 relations Fri Jan 16 07:36:34 2015 RelProcTime: 48 Fri Jan 16 07:36:34 2015 Fri Jan 16 07:36:34 2015 commencing linear algebra Fri Jan 16 07:36:34 2015 read 290618 cycles Fri Jan 16 07:36:34 2015 cycles contain 925522 unique relations Fri Jan 16 07:36:39 2015 read 925522 relations Fri Jan 16 07:36:39 2015 using 20 quadratic characters above 67105772 Fri Jan 16 07:36:42 2015 building initial matrix Fri Jan 16 07:36:47 2015 memory use: 110.9 MB Fri Jan 16 07:36:47 2015 read 290618 cycles Fri Jan 16 07:36:47 2015 matrix is 290447 x 290618 (86.7 MB) with weight 26199990 (90.15/col) Fri Jan 16 07:36:47 2015 sparse part has weight 19520099 (67.17/col) Fri Jan 16 07:36:48 2015 filtering completed in 2 passes Fri Jan 16 07:36:48 2015 matrix is 290309 x 290486 (86.6 MB) with weight 26194535 (90.17/col) Fri Jan 16 07:36:48 2015 sparse part has weight 19517907 (67.19/col) Fri Jan 16 07:36:48 2015 matrix starts at (0, 0) Fri Jan 16 07:36:48 2015 matrix is 290309 x 290486 (86.6 MB) with weight 26194535 (90.17/col) Fri Jan 16 07:36:48 2015 sparse part has weight 19517907 (67.19/col) Fri Jan 16 07:36:48 2015 saving the first 48 matrix rows for later Fri Jan 16 07:36:48 2015 matrix includes 64 packed rows Fri Jan 16 07:36:48 2015 matrix is 290261 x 290486 (82.2 MB) with weight 20743853 (71.41/col) Fri Jan 16 07:36:48 2015 sparse part has weight 18641173 (64.17/col) Fri Jan 16 07:36:48 2015 using block size 65536 for processor cache size 8192 kB Fri Jan 16 07:36:49 2015 commencing Lanczos iteration (8 threads) Fri Jan 16 07:36:49 2015 memory use: 78.4 MB Fri Jan 16 07:36:54 2015 linear algebra at 4.2%, ETA 0h 1m Fri Jan 16 07:38:50 2015 lanczos halted after 4593 iterations (dim = 290256) Fri Jan 16 07:38:50 2015 recovered 35 nontrivial dependencies Fri Jan 16 07:38:50 2015 BLanczosTime: 136 Fri Jan 16 07:38:50 2015 Fri Jan 16 07:38:50 2015 commencing square root phase Fri Jan 16 07:38:50 2015 reading relations for dependency 1 Fri Jan 16 07:38:50 2015 read 145171 cycles Fri Jan 16 07:38:50 2015 cycles contain 462790 unique relations Fri Jan 16 07:38:54 2015 read 462790 relations Fri Jan 16 07:38:54 2015 multiplying 462790 relations Fri Jan 16 07:39:03 2015 multiply complete, coefficients have about 16.14 million bits Fri Jan 16 07:39:03 2015 initial square root is modulo 1873419641 Fri Jan 16 07:39:14 2015 GCD is 1, no factor found Fri Jan 16 07:39:14 2015 reading relations for dependency 2 Fri Jan 16 07:39:14 2015 read 144934 cycles Fri Jan 16 07:39:14 2015 cycles contain 461716 unique relations Fri Jan 16 07:39:17 2015 read 461716 relations Fri Jan 16 07:39:18 2015 multiplying 461716 relations Fri Jan 16 07:39:27 2015 multiply complete, coefficients have about 16.10 million bits Fri Jan 16 07:39:27 2015 initial square root is modulo 1782041351 Fri Jan 16 07:39:38 2015 Newton iteration failed to converge Fri Jan 16 07:39:38 2015 algebraic square root failed Fri Jan 16 07:39:38 2015 reading relations for dependency 3 Fri Jan 16 07:39:38 2015 read 145431 cycles Fri Jan 16 07:39:38 2015 cycles contain 463698 unique relations Fri Jan 16 07:39:42 2015 read 463698 relations Fri Jan 16 07:39:43 2015 multiplying 463698 relations Fri Jan 16 07:39:52 2015 multiply complete, coefficients have about 16.17 million bits Fri Jan 16 07:39:52 2015 initial square root is modulo 1953035311 Fri Jan 16 07:40:03 2015 GCD is 1, no factor found Fri Jan 16 07:40:03 2015 reading relations for dependency 4 Fri Jan 16 07:40:03 2015 read 145160 cycles Fri Jan 16 07:40:03 2015 cycles contain 462052 unique relations Fri Jan 16 07:40:06 2015 read 462052 relations Fri Jan 16 07:40:07 2015 multiplying 462052 relations Fri Jan 16 07:40:16 2015 multiply complete, coefficients have about 16.11 million bits Fri Jan 16 07:40:16 2015 initial square root is modulo 1808571101 Fri Jan 16 07:40:27 2015 GCD is N, no factor found Fri Jan 16 07:40:27 2015 reading relations for dependency 5 Fri Jan 16 07:40:27 2015 read 144848 cycles Fri Jan 16 07:40:27 2015 cycles contain 461524 unique relations Fri Jan 16 07:40:30 2015 read 461524 relations Fri Jan 16 07:40:31 2015 multiplying 461524 relations Fri Jan 16 07:40:40 2015 multiply complete, coefficients have about 16.09 million bits Fri Jan 16 07:40:40 2015 initial square root is modulo 1763970161 Fri Jan 16 07:40:52 2015 Newton iteration failed to converge Fri Jan 16 07:40:52 2015 algebraic square root failed Fri Jan 16 07:40:52 2015 reading relations for dependency 6 Fri Jan 16 07:40:52 2015 read 145349 cycles Fri Jan 16 07:40:52 2015 cycles contain 462932 unique relations Fri Jan 16 07:40:55 2015 read 462932 relations Fri Jan 16 07:40:56 2015 multiplying 462932 relations Fri Jan 16 07:41:05 2015 multiply complete, coefficients have about 16.14 million bits Fri Jan 16 07:41:05 2015 initial square root is modulo 1880843221 Fri Jan 16 07:41:16 2015 GCD is 1, no factor found Fri Jan 16 07:41:16 2015 reading relations for dependency 7 Fri Jan 16 07:41:16 2015 read 145571 cycles Fri Jan 16 07:41:16 2015 cycles contain 463514 unique relations Fri Jan 16 07:41:19 2015 read 463514 relations Fri Jan 16 07:41:20 2015 multiplying 463514 relations Fri Jan 16 07:41:29 2015 multiply complete, coefficients have about 16.16 million bits Fri Jan 16 07:41:29 2015 initial square root is modulo 1935573851 Fri Jan 16 07:41:40 2015 GCD is 1, no factor found Fri Jan 16 07:41:40 2015 reading relations for dependency 8 Fri Jan 16 07:41:40 2015 read 145317 cycles Fri Jan 16 07:41:40 2015 cycles contain 462666 unique relations Fri Jan 16 07:41:44 2015 read 462666 relations Fri Jan 16 07:41:44 2015 multiplying 462666 relations Fri Jan 16 07:41:53 2015 multiply complete, coefficients have about 16.13 million bits Fri Jan 16 07:41:53 2015 initial square root is modulo 1856441101 Fri Jan 16 07:42:04 2015 Newton iteration failed to converge Fri Jan 16 07:42:04 2015 algebraic square root failed Fri Jan 16 07:42:04 2015 reading relations for dependency 9 Fri Jan 16 07:42:04 2015 read 145309 cycles Fri Jan 16 07:42:04 2015 cycles contain 462846 unique relations Fri Jan 16 07:42:08 2015 read 462846 relations Fri Jan 16 07:42:09 2015 multiplying 462846 relations Fri Jan 16 07:42:18 2015 multiply complete, coefficients have about 16.14 million bits Fri Jan 16 07:42:18 2015 initial square root is modulo 1874480711 Fri Jan 16 07:42:28 2015 GCD is N, no factor found Fri Jan 16 07:42:28 2015 reading relations for dependency 10 Fri Jan 16 07:42:28 2015 read 145659 cycles Fri Jan 16 07:42:28 2015 cycles contain 463764 unique relations Fri Jan 16 07:42:32 2015 read 463764 relations Fri Jan 16 07:42:33 2015 multiplying 463764 relations Fri Jan 16 07:42:41 2015 multiply complete, coefficients have about 16.17 million bits Fri Jan 16 07:42:42 2015 initial square root is modulo 1955814481 Fri Jan 16 07:42:53 2015 sqrtTime: 243 -- n: 11593834115101707678366809295606568835579931824175956038767952561869929623314728214118920062375476471009607514945158530324303896406613 m: 10000000000000000000000000000 deg: 5 c5: 71800 c0: -7 skew: 0.16 # Murphy_E = 1.703e-09 type: snfs lss: 1 rlim: 1820000 alim: 1820000 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 16:47:34 UTC 2015 年 1 月 9 日 (金) 1 時 47 分 34 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:09:40 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 40 秒 (日本時間)

## 718×10146-79

### c131

name 名前 Cyp January 16, 2015 21:05:19 UTC 2015 年 1 月 17 日 (土) 6 時 5 分 19 秒 (日本時間) `12965295047732879252754904812927035784031411146597295693316500722870175177748857808737217187452008691134994414985100183652661459571<131>` ```13355538848617445278113975300999301720213516636087745855432982847<65> 970780377691390283952970937073014059826070802434743632209059628493<66>``` ```01/16/15 20:30:22 v1.34.3, 01/16/15 20:30:22 v1.34.3, **************************** 01/16/15 20:30:22 v1.34.3, Starting factorization of 12965295047732879252754904812927035784031411146597295693316500722870175177748857808737217187452008691134994414985100183652661459571 01/16/15 20:30:22 v1.34.3, using pretesting plan: none 01/16/15 20:30:22 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 01/16/15 20:30:22 v1.34.3, **************************** 01/16/15 20:30:22 v1.34.3, nfs: commencing nfs on c131: 12965295047732879252754904812927035784031411146597295693316500722870175177748857808737217187452008691134994414985100183652661459571 01/16/15 20:30:22 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 01/16/15 20:30:22 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/16/15 20:31:06 v1.34.3, nfs: commencing lattice sieving with 8 threads [102 lines snipped] 01/16/15 21:51:48 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/16/15 21:52:35 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/16/15 21:53:23 v1.34.3, nfs: commencing msieve filtering 01/16/15 21:53:59 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/16/15 21:54:46 v1.34.3, nfs: commencing lattice sieving with 8 threads [2 lines snipped] 01/16/15 21:57:08 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/16/15 21:57:55 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/16/15 21:58:42 v1.34.3, nfs: commencing msieve filtering 01/16/15 21:59:38 v1.34.3, nfs: commencing msieve linear algebra 01/16/15 22:04:40 v1.34.3, nfs: commencing msieve sqrt 01/16/15 22:05:18 v1.34.3, prp65 = 13355538848617445278113975300999301720213516636087745855432982847 01/16/15 22:05:18 v1.34.3, prp66 = 970780377691390283952970937073014059826070802434743632209059628493 01/16/15 22:05:19 v1.34.3, NFS elapsed time = 5696.6285 seconds. 01/16/15 22:05:19 v1.34.3, 01/16/15 22:05:19 v1.34.3, 01/16/15 22:05:19 v1.34.3, Total factoring time = 5696.6291 seconds -- Fri Jan 16 21:53:23 2015 Fri Jan 16 21:53:23 2015 commencing relation filtering Fri Jan 16 21:53:23 2015 estimated available RAM is 15987.3 MB Fri Jan 16 21:53:23 2015 commencing duplicate removal, pass 1 Fri Jan 16 21:53:34 2015 found 746883 hash collisions in 4477874 relations Fri Jan 16 21:53:38 2015 added 183548 free relations Fri Jan 16 21:53:38 2015 commencing duplicate removal, pass 2 Fri Jan 16 21:53:41 2015 found 629840 duplicates and 4031582 unique relations Fri Jan 16 21:53:41 2015 memory use: 20.6 MB Fri Jan 16 21:53:41 2015 reading ideals above 100000 Fri Jan 16 21:53:41 2015 commencing singleton removal, initial pass Fri Jan 16 21:53:58 2015 memory use: 94.1 MB Fri Jan 16 21:53:58 2015 reading all ideals from disk Fri Jan 16 21:53:58 2015 memory use: 133.7 MB Fri Jan 16 21:53:58 2015 keeping 4770132 ideals with weight <= 200, target excess is 21509 Fri Jan 16 21:53:58 2015 commencing in-memory singleton removal Fri Jan 16 21:53:58 2015 begin with 4031582 relations and 4770132 unique ideals Fri Jan 16 21:53:59 2015 reduce to 1337160 relations and 1365348 ideals in 15 passes Fri Jan 16 21:53:59 2015 max relations containing the same ideal: 102 Fri Jan 16 21:58:42 2015 Fri Jan 16 21:58:42 2015 commencing relation filtering Fri Jan 16 21:58:42 2015 estimated available RAM is 15987.3 MB Fri Jan 16 21:58:42 2015 commencing duplicate removal, pass 1 Fri Jan 16 21:58:56 2015 found 823042 hash collisions in 4888823 relations Fri Jan 16 21:59:00 2015 added 1235 free relations Fri Jan 16 21:59:00 2015 commencing duplicate removal, pass 2 Fri Jan 16 21:59:03 2015 found 681043 duplicates and 4209015 unique relations Fri Jan 16 21:59:03 2015 memory use: 20.6 MB Fri Jan 16 21:59:03 2015 reading ideals above 100000 Fri Jan 16 21:59:03 2015 commencing singleton removal, initial pass Fri Jan 16 21:59:22 2015 memory use: 94.1 MB Fri Jan 16 21:59:22 2015 reading all ideals from disk Fri Jan 16 21:59:22 2015 memory use: 139.6 MB Fri Jan 16 21:59:22 2015 keeping 4858166 ideals with weight <= 200, target excess is 22460 Fri Jan 16 21:59:22 2015 commencing in-memory singleton removal Fri Jan 16 21:59:23 2015 begin with 4209015 relations and 4858166 unique ideals Fri Jan 16 21:59:24 2015 reduce to 1536501 relations and 1505303 ideals in 15 passes Fri Jan 16 21:59:24 2015 max relations containing the same ideal: 101 Fri Jan 16 21:59:24 2015 relations with 0 large ideals: 522 Fri Jan 16 21:59:24 2015 relations with 1 large ideals: 121 Fri Jan 16 21:59:24 2015 relations with 2 large ideals: 1785 Fri Jan 16 21:59:24 2015 relations with 3 large ideals: 16302 Fri Jan 16 21:59:24 2015 relations with 4 large ideals: 83193 Fri Jan 16 21:59:24 2015 relations with 5 large ideals: 243531 Fri Jan 16 21:59:24 2015 relations with 6 large ideals: 439238 Fri Jan 16 21:59:24 2015 relations with 7+ large ideals: 751809 Fri Jan 16 21:59:24 2015 commencing 2-way merge Fri Jan 16 21:59:24 2015 reduce to 903335 relation sets and 872203 unique ideals Fri Jan 16 21:59:24 2015 ignored 66 oversize relation sets Fri Jan 16 21:59:24 2015 commencing full merge Fri Jan 16 21:59:35 2015 memory use: 108.4 MB Fri Jan 16 21:59:35 2015 found 436325 cycles, need 434403 Fri Jan 16 21:59:35 2015 weight of 434403 cycles is about 30789326 (70.88/cycle) Fri Jan 16 21:59:35 2015 distribution of cycle lengths: Fri Jan 16 21:59:35 2015 1 relations: 50812 Fri Jan 16 21:59:35 2015 2 relations: 51257 Fri Jan 16 21:59:35 2015 3 relations: 50235 Fri Jan 16 21:59:35 2015 4 relations: 44839 Fri Jan 16 21:59:35 2015 5 relations: 39008 Fri Jan 16 21:59:35 2015 6 relations: 33376 Fri Jan 16 21:59:35 2015 7 relations: 27989 Fri Jan 16 21:59:35 2015 8 relations: 23373 Fri Jan 16 21:59:35 2015 9 relations: 19545 Fri Jan 16 21:59:35 2015 10+ relations: 93969 Fri Jan 16 21:59:35 2015 heaviest cycle: 28 relations Fri Jan 16 21:59:35 2015 commencing cycle optimization Fri Jan 16 21:59:35 2015 start with 2781237 relations Fri Jan 16 21:59:38 2015 pruned 75086 relations Fri Jan 16 21:59:38 2015 memory use: 88.2 MB Fri Jan 16 21:59:38 2015 distribution of cycle lengths: Fri Jan 16 21:59:38 2015 1 relations: 50812 Fri Jan 16 21:59:38 2015 2 relations: 52368 Fri Jan 16 21:59:38 2015 3 relations: 52079 Fri Jan 16 21:59:38 2015 4 relations: 45924 Fri Jan 16 21:59:38 2015 5 relations: 39979 Fri Jan 16 21:59:38 2015 6 relations: 33757 Fri Jan 16 21:59:38 2015 7 relations: 28304 Fri Jan 16 21:59:38 2015 8 relations: 23306 Fri Jan 16 21:59:38 2015 9 relations: 19308 Fri Jan 16 21:59:38 2015 10+ relations: 88566 Fri Jan 16 21:59:38 2015 heaviest cycle: 28 relations Fri Jan 16 21:59:38 2015 RelProcTime: 56 Fri Jan 16 21:59:38 2015 Fri Jan 16 21:59:38 2015 commencing linear algebra Fri Jan 16 21:59:38 2015 read 434403 cycles Fri Jan 16 21:59:39 2015 cycles contain 1441141 unique relations Fri Jan 16 21:59:45 2015 read 1441141 relations Fri Jan 16 21:59:45 2015 using 20 quadratic characters above 67108650 Fri Jan 16 21:59:50 2015 building initial matrix Fri Jan 16 21:59:57 2015 memory use: 171.5 MB Fri Jan 16 21:59:57 2015 read 434403 cycles Fri Jan 16 21:59:57 2015 matrix is 434221 x 434403 (130.3 MB) with weight 38373889 (88.34/col) Fri Jan 16 21:59:57 2015 sparse part has weight 29377797 (67.63/col) Fri Jan 16 21:59:58 2015 filtering completed in 2 passes Fri Jan 16 21:59:58 2015 matrix is 433835 x 434017 (130.2 MB) with weight 38355346 (88.37/col) Fri Jan 16 21:59:58 2015 sparse part has weight 29368440 (67.67/col) Fri Jan 16 21:59:59 2015 matrix starts at (0, 0) Fri Jan 16 21:59:59 2015 matrix is 433835 x 434017 (130.2 MB) with weight 38355346 (88.37/col) Fri Jan 16 21:59:59 2015 sparse part has weight 29368440 (67.67/col) Fri Jan 16 21:59:59 2015 saving the first 48 matrix rows for later Fri Jan 16 21:59:59 2015 matrix includes 64 packed rows Fri Jan 16 21:59:59 2015 matrix is 433787 x 434017 (122.6 MB) with weight 30452853 (70.17/col) Fri Jan 16 21:59:59 2015 sparse part has weight 27786557 (64.02/col) Fri Jan 16 21:59:59 2015 using block size 65536 for processor cache size 8192 kB Fri Jan 16 22:00:00 2015 commencing Lanczos iteration (8 threads) Fri Jan 16 22:00:00 2015 memory use: 118.4 MB Fri Jan 16 22:00:08 2015 linear algebra at 2.8%, ETA 0h 4m Fri Jan 16 22:04:40 2015 lanczos halted after 6862 iterations (dim = 433785) Fri Jan 16 22:04:40 2015 recovered 37 nontrivial dependencies Fri Jan 16 22:04:40 2015 BLanczosTime: 302 Fri Jan 16 22:04:40 2015 Fri Jan 16 22:04:40 2015 commencing square root phase Fri Jan 16 22:04:40 2015 reading relations for dependency 1 Fri Jan 16 22:04:40 2015 read 217373 cycles Fri Jan 16 22:04:41 2015 cycles contain 719908 unique relations Fri Jan 16 22:04:45 2015 read 719908 relations Fri Jan 16 22:04:46 2015 multiplying 719908 relations Fri Jan 16 22:05:00 2015 multiply complete, coefficients have about 23.14 million bits Fri Jan 16 22:05:00 2015 initial square root is modulo 4416521 Fri Jan 16 22:05:18 2015 sqrtTime: 38 -- n: 12965295047732879252754904812927035784031411146597295693316500722870175177748857808737217187452008691134994414985100183652661459571 m: 100000000000000000000000000000 deg: 5 c5: 7180 c0: -7 skew: 0.25 # Murphy_E = 1.085e-09 type: snfs lss: 1 rlim: 2100000 alim: 2100000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3``` `yafu v1.34.3` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 16:48:01 UTC 2015 年 1 月 9 日 (金) 1 時 48 分 1 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:09:40 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 40 秒 (日本時間)

## 718×10147-79

### c122

name 名前 Cyp January 17, 2015 17:40:15 UTC 2015 年 1 月 18 日 (日) 2 時 40 分 15 秒 (日本時間) `11679317574489891471377689980742470627700059997531174007056205680500685996570166246072078938578886787844447110083988690521<122>` ```19482892403613564366431354271906065627381<41> 599465281259967595576513145713499158266034666378032766863691845656875306524825941<81>``` ```01/17/15 17:12:39 v1.34.3, 01/17/15 17:12:39 v1.34.3, **************************** 01/17/15 17:12:39 v1.34.3, Starting factorization of 11679317574489891471377689980742470627700059997531174007056205680500685996570166246072078938578886787844447110083988690521 01/17/15 17:12:39 v1.34.3, using pretesting plan: none 01/17/15 17:12:39 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 01/17/15 17:12:39 v1.34.3, **************************** 01/17/15 17:12:39 v1.34.3, nfs: commencing nfs on c122: 11679317574489891471377689980742470627700059997531174007056205680500685996570166246072078938578886787844447110083988690521 01/17/15 17:12:39 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 01/17/15 17:12:39 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/17/15 17:13:26 v1.34.3, nfs: commencing lattice sieving with 8 threads [88 lines snipped] 01/17/15 18:27:03 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/17/15 18:27:52 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/17/15 18:28:41 v1.34.3, nfs: commencing msieve filtering 01/17/15 18:29:21 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/17/15 18:30:09 v1.34.3, nfs: commencing lattice sieving with 8 threads [2 lines snipped] 01/17/15 18:32:39 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/17/15 18:33:28 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/17/15 18:34:16 v1.34.3, nfs: commencing msieve filtering 01/17/15 18:35:12 v1.34.3, nfs: commencing msieve linear algebra 01/17/15 18:39:36 v1.34.3, nfs: commencing msieve sqrt 01/17/15 18:40:14 v1.34.3, prp81 = 599465281259967595576513145713499158266034666378032766863691845656875306524825941 01/17/15 18:40:14 v1.34.3, prp41 = 19482892403613564366431354271906065627381 01/17/15 18:40:14 v1.34.3, NFS elapsed time = 5255.3780 seconds. 01/17/15 18:40:14 v1.34.3, 01/17/15 18:40:14 v1.34.3, 01/17/15 18:40:14 v1.34.3, Total factoring time = 5255.3787 seconds -- Sat Jan 17 18:28:41 2015 Sat Jan 17 18:28:41 2015 commencing relation filtering Sat Jan 17 18:28:41 2015 estimated available RAM is 15987.3 MB Sat Jan 17 18:28:41 2015 commencing duplicate removal, pass 1 Sat Jan 17 18:28:53 2015 found 708408 hash collisions in 4509751 relations Sat Jan 17 18:28:57 2015 added 185140 free relations Sat Jan 17 18:28:57 2015 commencing duplicate removal, pass 2 Sat Jan 17 18:29:01 2015 found 573588 duplicates and 4121303 unique relations Sat Jan 17 18:29:01 2015 memory use: 20.6 MB Sat Jan 17 18:29:01 2015 reading ideals above 100000 Sat Jan 17 18:29:01 2015 commencing singleton removal, initial pass Sat Jan 17 18:29:20 2015 memory use: 94.1 MB Sat Jan 17 18:29:20 2015 reading all ideals from disk Sat Jan 17 18:29:20 2015 memory use: 136.3 MB Sat Jan 17 18:29:20 2015 keeping 4843956 ideals with weight <= 200, target excess is 21525 Sat Jan 17 18:29:20 2015 commencing in-memory singleton removal Sat Jan 17 18:29:20 2015 begin with 4121303 relations and 4843956 unique ideals Sat Jan 17 18:29:21 2015 reduce to 1390429 relations and 1404333 ideals in 16 passes Sat Jan 17 18:29:21 2015 max relations containing the same ideal: 91 Sat Jan 17 18:34:16 2015 Sat Jan 17 18:34:16 2015 commencing relation filtering Sat Jan 17 18:34:16 2015 estimated available RAM is 15987.3 MB Sat Jan 17 18:34:16 2015 commencing duplicate removal, pass 1 Sat Jan 17 18:34:31 2015 found 792667 hash collisions in 4960117 relations Sat Jan 17 18:34:34 2015 added 1347 free relations Sat Jan 17 18:34:34 2015 commencing duplicate removal, pass 2 Sat Jan 17 18:34:38 2015 found 628869 duplicates and 4332595 unique relations Sat Jan 17 18:34:38 2015 memory use: 20.6 MB Sat Jan 17 18:34:38 2015 reading ideals above 100000 Sat Jan 17 18:34:38 2015 commencing singleton removal, initial pass Sat Jan 17 18:34:56 2015 memory use: 94.1 MB Sat Jan 17 18:34:56 2015 reading all ideals from disk Sat Jan 17 18:34:56 2015 memory use: 143.4 MB Sat Jan 17 18:34:57 2015 keeping 4946438 ideals with weight <= 200, target excess is 22593 Sat Jan 17 18:34:57 2015 commencing in-memory singleton removal Sat Jan 17 18:34:57 2015 begin with 4332595 relations and 4946438 unique ideals Sat Jan 17 18:34:58 2015 reduce to 1629231 relations and 1570616 ideals in 14 passes Sat Jan 17 18:34:58 2015 max relations containing the same ideal: 103 Sat Jan 17 18:34:58 2015 removing 147073 relations and 130869 ideals in 16204 cliques Sat Jan 17 18:34:58 2015 commencing in-memory singleton removal Sat Jan 17 18:34:58 2015 begin with 1482158 relations and 1570616 unique ideals Sat Jan 17 18:34:59 2015 reduce to 1471367 relations and 1428792 ideals in 8 passes Sat Jan 17 18:34:59 2015 max relations containing the same ideal: 95 Sat Jan 17 18:34:59 2015 removing 109318 relations and 93114 ideals in 16204 cliques Sat Jan 17 18:34:59 2015 commencing in-memory singleton removal Sat Jan 17 18:34:59 2015 begin with 1362049 relations and 1428792 unique ideals Sat Jan 17 18:34:59 2015 reduce to 1355830 relations and 1329398 ideals in 7 passes Sat Jan 17 18:34:59 2015 max relations containing the same ideal: 88 Sat Jan 17 18:35:00 2015 relations with 0 large ideals: 518 Sat Jan 17 18:35:00 2015 relations with 1 large ideals: 119 Sat Jan 17 18:35:00 2015 relations with 2 large ideals: 1839 Sat Jan 17 18:35:00 2015 relations with 3 large ideals: 16964 Sat Jan 17 18:35:00 2015 relations with 4 large ideals: 82218 Sat Jan 17 18:35:00 2015 relations with 5 large ideals: 228598 Sat Jan 17 18:35:00 2015 relations with 6 large ideals: 391847 Sat Jan 17 18:35:00 2015 relations with 7+ large ideals: 633727 Sat Jan 17 18:35:00 2015 commencing 2-way merge Sat Jan 17 18:35:00 2015 reduce to 814436 relation sets and 788004 unique ideals Sat Jan 17 18:35:00 2015 commencing full merge Sat Jan 17 18:35:08 2015 memory use: 102.1 MB Sat Jan 17 18:35:08 2015 found 409034 cycles, need 406204 Sat Jan 17 18:35:08 2015 weight of 406204 cycles is about 28683206 (70.61/cycle) Sat Jan 17 18:35:08 2015 distribution of cycle lengths: Sat Jan 17 18:35:08 2015 1 relations: 45512 Sat Jan 17 18:35:08 2015 2 relations: 45825 Sat Jan 17 18:35:08 2015 3 relations: 44659 Sat Jan 17 18:35:08 2015 4 relations: 40290 Sat Jan 17 18:35:08 2015 5 relations: 36152 Sat Jan 17 18:35:08 2015 6 relations: 31929 Sat Jan 17 18:35:08 2015 7 relations: 27193 Sat Jan 17 18:35:08 2015 8 relations: 23258 Sat Jan 17 18:35:08 2015 9 relations: 19787 Sat Jan 17 18:35:08 2015 10+ relations: 91599 Sat Jan 17 18:35:08 2015 heaviest cycle: 25 relations Sat Jan 17 18:35:08 2015 commencing cycle optimization Sat Jan 17 18:35:09 2015 start with 2597135 relations Sat Jan 17 18:35:11 2015 pruned 68557 relations Sat Jan 17 18:35:11 2015 memory use: 81.9 MB Sat Jan 17 18:35:11 2015 distribution of cycle lengths: Sat Jan 17 18:35:11 2015 1 relations: 45512 Sat Jan 17 18:35:11 2015 2 relations: 46796 Sat Jan 17 18:35:11 2015 3 relations: 46138 Sat Jan 17 18:35:11 2015 4 relations: 41224 Sat Jan 17 18:35:11 2015 5 relations: 37205 Sat Jan 17 18:35:11 2015 6 relations: 32332 Sat Jan 17 18:35:11 2015 7 relations: 27529 Sat Jan 17 18:35:11 2015 8 relations: 23420 Sat Jan 17 18:35:11 2015 9 relations: 19801 Sat Jan 17 18:35:11 2015 10+ relations: 86247 Sat Jan 17 18:35:11 2015 heaviest cycle: 25 relations Sat Jan 17 18:35:12 2015 RelProcTime: 56 Sat Jan 17 18:35:12 2015 Sat Jan 17 18:35:12 2015 commencing linear algebra Sat Jan 17 18:35:12 2015 read 406204 cycles Sat Jan 17 18:35:12 2015 cycles contain 1331508 unique relations Sat Jan 17 18:35:18 2015 read 1331508 relations Sat Jan 17 18:35:19 2015 using 20 quadratic characters above 67108512 Sat Jan 17 18:35:22 2015 building initial matrix Sat Jan 17 18:35:29 2015 memory use: 161.1 MB Sat Jan 17 18:35:29 2015 read 406204 cycles Sat Jan 17 18:35:29 2015 matrix is 406049 x 406204 (121.7 MB) with weight 36557908 (90.00/col) Sat Jan 17 18:35:29 2015 sparse part has weight 27423290 (67.51/col) Sat Jan 17 18:35:31 2015 filtering completed in 2 passes Sat Jan 17 18:35:31 2015 matrix is 405875 x 406043 (121.6 MB) with weight 36552049 (90.02/col) Sat Jan 17 18:35:31 2015 sparse part has weight 27421237 (67.53/col) Sat Jan 17 18:35:32 2015 matrix starts at (0, 0) Sat Jan 17 18:35:32 2015 matrix is 405875 x 406043 (121.6 MB) with weight 36552049 (90.02/col) Sat Jan 17 18:35:32 2015 sparse part has weight 27421237 (67.53/col) Sat Jan 17 18:35:32 2015 saving the first 48 matrix rows for later Sat Jan 17 18:35:32 2015 matrix includes 64 packed rows Sat Jan 17 18:35:32 2015 matrix is 405827 x 406043 (115.6 MB) with weight 29079906 (71.62/col) Sat Jan 17 18:35:32 2015 sparse part has weight 26231199 (64.60/col) Sat Jan 17 18:35:32 2015 using block size 65536 for processor cache size 8192 kB Sat Jan 17 18:35:33 2015 commencing Lanczos iteration (8 threads) Sat Jan 17 18:35:33 2015 memory use: 110.8 MB Sat Jan 17 18:35:40 2015 linear algebra at 3.0%, ETA 0h 3m Sat Jan 17 18:39:36 2015 lanczos halted after 6420 iterations (dim = 405825) Sat Jan 17 18:39:36 2015 recovered 40 nontrivial dependencies Sat Jan 17 18:39:36 2015 BLanczosTime: 264 Sat Jan 17 18:39:36 2015 Sat Jan 17 18:39:36 2015 commencing square root phase Sat Jan 17 18:39:36 2015 reading relations for dependency 1 Sat Jan 17 18:39:36 2015 read 203244 cycles Sat Jan 17 18:39:37 2015 cycles contain 665378 unique relations Sat Jan 17 18:39:41 2015 read 665378 relations Sat Jan 17 18:39:42 2015 multiplying 665378 relations Sat Jan 17 18:39:56 2015 multiply complete, coefficients have about 23.36 million bits Sat Jan 17 18:39:56 2015 initial square root is modulo 5119661 Sat Jan 17 18:40:14 2015 sqrtTime: 38 -- n: 11679317574489891471377689980742470627700059997531174007056205680500685996570166246072078938578886787844447110083988690521 m: 100000000000000000000000000000 deg: 5 c5: 71800 c0: -7 skew: 0.16 # Murphy_E = 1.106e-09 type: snfs lss: 1 rlim: 2200000 alim: 2200000 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 16:48:12 UTC 2015 年 1 月 9 日 (金) 1 時 48 分 12 秒 (日本時間)

## 718×10148-79

### c143

name 名前 Cyp January 14, 2015 14:50:55 UTC 2015 年 1 月 14 日 (水) 23 時 50 分 55 秒 (日本時間) `30739656019053483435159300154275826000137934573484939433052083890302292278840173255722637573628700841055398224601625724505971021914647560403499<143>` ```8296615179791396946315093476794993774472074763083<49> 3705083983396994829432953256001412499901219932864833879793946244636597149658313280553898094753<94>``` ```01/14/15 13:21:20 v1.34.3, 01/14/15 13:21:20 v1.34.3, **************************** 01/14/15 13:21:20 v1.34.3, Starting factorization of 30739656019053483435159300154275826000137934573484939433052083890302292278840173255722637573628700841055398224601625724505971021914647560403499 01/14/15 13:21:20 v1.34.3, using pretesting plan: none 01/14/15 13:21:20 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 01/14/15 13:21:20 v1.34.3, **************************** 01/14/15 13:21:20 v1.34.3, nfs: commencing nfs on c143: 30739656019053483435159300154275826000137934573484939433052083890302292278840173255722637573628700841055398224601625724505971021914647560403499 01/14/15 13:21:20 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 01/14/15 13:21:20 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/14/15 13:25:20 v1.34.3, nfs: commencing lattice sieving with 8 threads [32 lines snipped] 01/14/15 15:38:20 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/14/15 15:42:20 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/14/15 15:46:19 v1.34.3, nfs: commencing msieve filtering 01/14/15 15:48:01 v1.34.3, nfs: commencing msieve linear algebra 01/14/15 15:50:24 v1.34.3, nfs: commencing msieve sqrt 01/14/15 15:50:54 v1.34.3, prp49 = 8296615179791396946315093476794993774472074763083 01/14/15 15:50:54 v1.34.3, prp94 = 3705083983396994829432953256001412499901219932864833879793946244636597149658313280553898094753 01/14/15 15:50:54 v1.34.3, NFS elapsed time = 8974.5862 seconds. 01/14/15 15:50:54 v1.34.3, 01/14/15 15:50:54 v1.34.3, 01/14/15 15:50:54 v1.34.3, Total factoring time = 8974.5869 seconds -- Wed Jan 14 15:46:19 2015 Wed Jan 14 15:46:19 2015 commencing relation filtering Wed Jan 14 15:46:19 2015 estimated available RAM is 15987.3 MB Wed Jan 14 15:46:19 2015 commencing duplicate removal, pass 1 Wed Jan 14 15:46:47 2015 found 1433674 hash collisions in 10061577 relations Wed Jan 14 15:46:55 2015 added 349170 free relations Wed Jan 14 15:46:55 2015 commencing duplicate removal, pass 2 Wed Jan 14 15:47:04 2015 found 1017194 duplicates and 9393553 unique relations Wed Jan 14 15:47:04 2015 memory use: 41.3 MB Wed Jan 14 15:47:04 2015 reading ideals above 100000 Wed Jan 14 15:47:04 2015 commencing singleton removal, initial pass Wed Jan 14 15:47:45 2015 memory use: 188.2 MB Wed Jan 14 15:47:45 2015 reading all ideals from disk Wed Jan 14 15:47:45 2015 memory use: 319.2 MB Wed Jan 14 15:47:45 2015 keeping 9117428 ideals with weight <= 200, target excess is 52345 Wed Jan 14 15:47:45 2015 commencing in-memory singleton removal Wed Jan 14 15:47:46 2015 begin with 9393553 relations and 9117428 unique ideals Wed Jan 14 15:47:48 2015 reduce to 4860672 relations and 3504980 ideals in 9 passes Wed Jan 14 15:47:48 2015 max relations containing the same ideal: 133 Wed Jan 14 15:47:49 2015 removing 1159319 relations and 759319 ideals in 400000 cliques Wed Jan 14 15:47:49 2015 commencing in-memory singleton removal Wed Jan 14 15:47:49 2015 begin with 3701353 relations and 3504980 unique ideals Wed Jan 14 15:47:50 2015 reduce to 3550755 relations and 2581265 ideals in 7 passes Wed Jan 14 15:47:50 2015 max relations containing the same ideal: 114 Wed Jan 14 15:47:51 2015 removing 1001896 relations and 601896 ideals in 400000 cliques Wed Jan 14 15:47:51 2015 commencing in-memory singleton removal Wed Jan 14 15:47:51 2015 begin with 2548859 relations and 2581265 unique ideals Wed Jan 14 15:47:52 2015 reduce to 2433072 relations and 1852239 ideals in 6 passes Wed Jan 14 15:47:52 2015 max relations containing the same ideal: 82 Wed Jan 14 15:47:52 2015 removing 954447 relations and 554447 ideals in 400000 cliques Wed Jan 14 15:47:52 2015 commencing in-memory singleton removal Wed Jan 14 15:47:52 2015 begin with 1478625 relations and 1852239 unique ideals Wed Jan 14 15:47:53 2015 reduce to 1350415 relations and 1154232 ideals in 8 passes Wed Jan 14 15:47:53 2015 max relations containing the same ideal: 54 Wed Jan 14 15:47:53 2015 removing 362620 relations and 227158 ideals in 135462 cliques Wed Jan 14 15:47:53 2015 commencing in-memory singleton removal Wed Jan 14 15:47:53 2015 begin with 987795 relations and 1154232 unique ideals Wed Jan 14 15:47:53 2015 reduce to 912679 relations and 844327 ideals in 7 passes Wed Jan 14 15:47:53 2015 max relations containing the same ideal: 42 Wed Jan 14 15:47:53 2015 relations with 0 large ideals: 1225 Wed Jan 14 15:47:53 2015 relations with 1 large ideals: 1170 Wed Jan 14 15:47:53 2015 relations with 2 large ideals: 13754 Wed Jan 14 15:47:53 2015 relations with 3 large ideals: 70449 Wed Jan 14 15:47:53 2015 relations with 4 large ideals: 179675 Wed Jan 14 15:47:53 2015 relations with 5 large ideals: 257555 Wed Jan 14 15:47:53 2015 relations with 6 large ideals: 230158 Wed Jan 14 15:47:53 2015 relations with 7+ large ideals: 158693 Wed Jan 14 15:47:53 2015 commencing 2-way merge Wed Jan 14 15:47:54 2015 reduce to 620705 relation sets and 552352 unique ideals Wed Jan 14 15:47:54 2015 commencing full merge Wed Jan 14 15:47:59 2015 memory use: 69.7 MB Wed Jan 14 15:47:59 2015 found 311370 cycles, need 296552 Wed Jan 14 15:47:59 2015 weight of 296552 cycles is about 20912427 (70.52/cycle) Wed Jan 14 15:47:59 2015 distribution of cycle lengths: Wed Jan 14 15:47:59 2015 1 relations: 19717 Wed Jan 14 15:47:59 2015 2 relations: 27871 Wed Jan 14 15:47:59 2015 3 relations: 33562 Wed Jan 14 15:47:59 2015 4 relations: 34670 Wed Jan 14 15:47:59 2015 5 relations: 33963 Wed Jan 14 15:47:59 2015 6 relations: 30547 Wed Jan 14 15:47:59 2015 7 relations: 26198 Wed Jan 14 15:47:59 2015 8 relations: 21783 Wed Jan 14 15:47:59 2015 9 relations: 17435 Wed Jan 14 15:47:59 2015 10+ relations: 50806 Wed Jan 14 15:47:59 2015 heaviest cycle: 18 relations Wed Jan 14 15:47:59 2015 commencing cycle optimization Wed Jan 14 15:48:00 2015 start with 1786076 relations Wed Jan 14 15:48:01 2015 pruned 70156 relations Wed Jan 14 15:48:01 2015 memory use: 54.3 MB Wed Jan 14 15:48:01 2015 distribution of cycle lengths: Wed Jan 14 15:48:01 2015 1 relations: 19717 Wed Jan 14 15:48:01 2015 2 relations: 28601 Wed Jan 14 15:48:01 2015 3 relations: 35173 Wed Jan 14 15:48:01 2015 4 relations: 36419 Wed Jan 14 15:48:01 2015 5 relations: 35667 Wed Jan 14 15:48:01 2015 6 relations: 31899 Wed Jan 14 15:48:01 2015 7 relations: 27057 Wed Jan 14 15:48:01 2015 8 relations: 21980 Wed Jan 14 15:48:01 2015 9 relations: 17297 Wed Jan 14 15:48:01 2015 10+ relations: 42742 Wed Jan 14 15:48:01 2015 heaviest cycle: 18 relations Wed Jan 14 15:48:01 2015 RelProcTime: 102 Wed Jan 14 15:48:01 2015 Wed Jan 14 15:48:01 2015 commencing linear algebra Wed Jan 14 15:48:01 2015 read 296552 cycles Wed Jan 14 15:48:02 2015 cycles contain 847812 unique relations Wed Jan 14 15:48:10 2015 read 847812 relations Wed Jan 14 15:48:10 2015 using 20 quadratic characters above 134215802 Wed Jan 14 15:48:13 2015 building initial matrix Wed Jan 14 15:48:17 2015 memory use: 104.5 MB Wed Jan 14 15:48:17 2015 read 296552 cycles Wed Jan 14 15:48:17 2015 matrix is 296366 x 296552 (87.7 MB) with weight 26168616 (88.24/col) Wed Jan 14 15:48:17 2015 sparse part has weight 19740104 (66.57/col) Wed Jan 14 15:48:18 2015 filtering completed in 2 passes Wed Jan 14 15:48:18 2015 matrix is 296074 x 296260 (87.7 MB) with weight 26151632 (88.27/col) Wed Jan 14 15:48:18 2015 sparse part has weight 19729655 (66.60/col) Wed Jan 14 15:48:19 2015 matrix starts at (0, 0) Wed Jan 14 15:48:19 2015 matrix is 296074 x 296260 (87.7 MB) with weight 26151632 (88.27/col) Wed Jan 14 15:48:19 2015 sparse part has weight 19729655 (66.60/col) Wed Jan 14 15:48:19 2015 saving the first 48 matrix rows for later Wed Jan 14 15:48:19 2015 matrix includes 64 packed rows Wed Jan 14 15:48:19 2015 matrix is 296026 x 296260 (82.7 MB) with weight 20689342 (69.84/col) Wed Jan 14 15:48:19 2015 sparse part has weight 18729297 (63.22/col) Wed Jan 14 15:48:19 2015 using block size 65536 for processor cache size 8192 kB Wed Jan 14 15:48:20 2015 commencing Lanczos iteration (8 threads) Wed Jan 14 15:48:20 2015 memory use: 79.4 MB Wed Jan 14 15:48:25 2015 linear algebra at 4.1%, ETA 0h 1m Wed Jan 14 15:50:24 2015 lanczos halted after 4681 iterations (dim = 296025) Wed Jan 14 15:50:24 2015 recovered 37 nontrivial dependencies Wed Jan 14 15:50:24 2015 BLanczosTime: 143 Wed Jan 14 15:50:24 2015 Wed Jan 14 15:50:24 2015 commencing square root phase Wed Jan 14 15:50:24 2015 reading relations for dependency 1 Wed Jan 14 15:50:24 2015 read 148045 cycles Wed Jan 14 15:50:24 2015 cycles contain 423234 unique relations Wed Jan 14 15:50:31 2015 read 423234 relations Wed Jan 14 15:50:32 2015 multiplying 423234 relations Wed Jan 14 15:50:42 2015 multiply complete, coefficients have about 16.46 million bits Wed Jan 14 15:50:42 2015 initial square root is modulo 2860293941 Wed Jan 14 15:50:54 2015 sqrtTime: 30 -- n: 30739656019053483435159300154275826000137934573484939433052083890302292278840173255722637573628700841055398224601625724505971021914647560403499 m: 100000000000000000000000000000 deg: 5 c5: 718000 c0: -7 skew: 0.10 # Murphy_E = 8.814e-10 type: snfs lss: 1 rlim: 2300000 alim: 2300000 lpbr: 27 lpba: 27 mfbr: 49 mfba: 49 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
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 16:48:21 UTC 2015 年 1 月 9 日 (金) 1 時 48 分 21 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:09:41 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 41 秒 (日本時間)

## 718×10152-79

### c153

name 名前 Cyp January 12, 2015 10:44:38 UTC 2015 年 1 月 12 日 (月) 19 時 44 分 38 秒 (日本時間) `886419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753<153>` ```70299853573825652133588672669150523321744631<44> 53030320361926385032391818975456632899805284239<47> 237772023732616505233760668936593168116486803400346747033924017<63>``` ```01/12/15 07:38:29 v1.34.3, 01/12/15 07:38:29 v1.34.3, **************************** 01/12/15 07:38:29 v1.34.3, Starting factorization of 886419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753 01/12/15 07:38:29 v1.34.3, using pretesting plan: none 01/12/15 07:38:29 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 01/12/15 07:38:29 v1.34.3, **************************** 01/12/15 07:38:29 v1.34.3, nfs: commencing nfs on c153: 886419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753 01/12/15 07:38:29 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 01/12/15 07:38:29 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/12/15 07:42:42 v1.34.3, nfs: commencing lattice sieving with 8 threads [31 lines snipped] 01/12/15 09:58:55 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/12/15 10:03:09 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/12/15 10:07:24 v1.34.3, nfs: commencing msieve filtering 01/12/15 10:09:12 v1.34.3, nfs: commencing msieve linear algebra 01/12/15 10:12:50 v1.34.3, nfs: commencing msieve sqrt 01/12/15 10:13:28 v1.34.3, prp47 = 53030320361926385032391818975456632899805284239 01/12/15 10:13:28 v1.34.3, C107 = 16715338452355138200798894493446290435299786511321190925764114375558823139966148115448488114291118331702727 01/12/15 10:13:28 v1.34.3, NFS elapsed time = 9298.9080 seconds. 01/12/15 10:13:28 v1.34.3, 01/12/15 10:13:28 v1.34.3, 01/12/15 10:13:28 v1.34.3, 01/12/15 10:13:28 v1.34.3, **************************** 01/12/15 10:13:28 v1.34.3, Starting factorization of 16715338452355138200798894493446290435299786511321190925764114375558823139966148115448488114291118331702727 01/12/15 10:13:28 v1.34.3, using pretesting plan: normal 01/12/15 10:13:28 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 01/12/15 10:13:28 v1.34.3, **************************** 01/12/15 10:13:28 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C107 01/12/15 10:13:28 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C107 01/12/15 10:13:28 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C107 01/12/15 10:13:28 v1.34.3, pm1: starting B1 = 150K, B2 = gmp-ecm default on C107 01/12/15 10:13:28 v1.34.3, current ECM pretesting depth: 0.00 01/12/15 10:13:28 v1.34.3, scheduled 30 curves at B1=2000 toward target pretesting depth of 32.92 01/12/15 10:13:28 v1.34.3, Finished 30 curves using Lenstra ECM method on C107 input, B1=2K, B2=gmp-ecm default 01/12/15 10:13:28 v1.34.3, current ECM pretesting depth: 15.18 01/12/15 10:13:28 v1.34.3, scheduled 74 curves at B1=11000 toward target pretesting depth of 32.92 01/12/15 10:13:30 v1.34.3, Finished 74 curves using Lenstra ECM method on C107 input, B1=11K, B2=gmp-ecm default 01/12/15 10:13:30 v1.34.3, current ECM pretesting depth: 20.24 01/12/15 10:13:30 v1.34.3, scheduled 214 curves at B1=50000 toward target pretesting depth of 32.92 01/12/15 10:13:57 v1.34.3, Finished 214 curves using Lenstra ECM method on C107 input, B1=50K, B2=gmp-ecm default 01/12/15 10:13:57 v1.34.3, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C107 01/12/15 10:13:59 v1.34.3, current ECM pretesting depth: 25.33 01/12/15 10:13:59 v1.34.3, scheduled 430 curves at B1=250000 toward target pretesting depth of 32.92 01/12/15 10:17:49 v1.34.3, Finished 430 curves using Lenstra ECM method on C107 input, B1=250K, B2=gmp-ecm default 01/12/15 10:17:49 v1.34.3, pm1: starting B1 = 15M, B2 = gmp-ecm default on C107 01/12/15 10:17:55 v1.34.3, current ECM pretesting depth: 30.45 01/12/15 10:17:55 v1.34.3, scheduled 448 curves at B1=1000000 toward target pretesting depth of 32.92 01/12/15 10:34:06 v1.34.3, Finished 448 curves using Lenstra ECM method on C107 input, B1=1M, B2=gmp-ecm default 01/12/15 10:34:06 v1.34.3, final ECM pretested depth: 32.93 01/12/15 10:34:06 v1.34.3, scheduler: switching to sieve method 01/12/15 10:34:06 v1.34.3, nfs: commencing nfs on c107: 16715338452355138200798894493446290435299786511321190925764114375558823139966148115448488114291118331702727 01/12/15 10:34:06 v1.34.3, nfs: commencing poly selection with 8 threads 01/12/15 10:34:06 v1.34.3, nfs: setting deadline of 291 seconds 01/12/15 10:40:21 v1.34.3, nfs: completed 53 ranges of size 250 in 374.9409 seconds 01/12/15 10:40:21 v1.34.3, nfs: best poly = # norm 1.336347e-14 alpha -4.877607 e 4.490e-09 rroots 4 01/12/15 10:40:21 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/12/15 10:41:56 v1.34.3, nfs: commencing lattice sieving with 8 threads [22 lines snipped] 01/12/15 11:20:52 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/12/15 11:22:47 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/12/15 11:24:29 v1.34.3, nfs: commencing msieve filtering 01/12/15 11:25:09 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/12/15 11:26:55 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/12/15 11:28:43 v1.34.3, nfs: commencing msieve filtering 01/12/15 11:29:26 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/12/15 11:31:17 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/12/15 11:33:02 v1.34.3, nfs: commencing msieve filtering 01/12/15 11:33:48 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/12/15 11:35:33 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/12/15 11:37:20 v1.34.3, nfs: commencing msieve filtering 01/12/15 11:38:26 v1.34.3, nfs: commencing msieve linear algebra 01/12/15 11:43:51 v1.34.3, nfs: commencing msieve sqrt 01/12/15 11:44:37 v1.34.3, prp63 = 237772023732616505233760668936593168116486803400346747033924017 01/12/15 11:44:37 v1.34.3, prp44 = 70299853573825652133588672669150523321744631 01/12/15 11:44:37 v1.34.3, NFS elapsed time = 4230.7326 seconds. 01/12/15 11:44:37 v1.34.3, 01/12/15 11:44:37 v1.34.3, 01/12/15 11:44:37 v1.34.3, Total factoring time = 5469.3902 seconds 01/12/15 11:44:37 v1.34.3, Total factoring time = 14768.3389 seconds -- Mon Jan 12 10:07:24 2015 Mon Jan 12 10:07:24 2015 commencing relation filtering Mon Jan 12 10:07:24 2015 estimated available RAM is 15987.3 MB Mon Jan 12 10:07:24 2015 commencing duplicate removal, pass 1 Mon Jan 12 10:07:54 2015 found 1342303 hash collisions in 10188990 relations Mon Jan 12 10:08:02 2015 added 359478 free relations Mon Jan 12 10:08:02 2015 commencing duplicate removal, pass 2 Mon Jan 12 10:08:10 2015 found 873133 duplicates and 9675335 unique relations Mon Jan 12 10:08:10 2015 memory use: 41.3 MB Mon Jan 12 10:08:10 2015 reading ideals above 100000 Mon Jan 12 10:08:10 2015 commencing singleton removal, initial pass Mon Jan 12 10:08:53 2015 memory use: 188.2 MB Mon Jan 12 10:08:53 2015 reading all ideals from disk Mon Jan 12 10:08:53 2015 memory use: 333.5 MB Mon Jan 12 10:08:54 2015 keeping 9743376 ideals with weight <= 200, target excess is 52038 Mon Jan 12 10:08:54 2015 commencing in-memory singleton removal Mon Jan 12 10:08:54 2015 begin with 9675335 relations and 9743376 unique ideals Mon Jan 12 10:08:57 2015 reduce to 4774271 relations and 3748122 ideals in 12 passes Mon Jan 12 10:08:57 2015 max relations containing the same ideal: 128 Mon Jan 12 10:08:59 2015 removing 1290167 relations and 890167 ideals in 400000 cliques Mon Jan 12 10:08:59 2015 commencing in-memory singleton removal Mon Jan 12 10:08:59 2015 begin with 3484104 relations and 3748122 unique ideals Mon Jan 12 10:09:00 2015 reduce to 3260223 relations and 2611825 ideals in 8 passes Mon Jan 12 10:09:00 2015 max relations containing the same ideal: 99 Mon Jan 12 10:09:01 2015 removing 1095256 relations and 695256 ideals in 400000 cliques Mon Jan 12 10:09:01 2015 commencing in-memory singleton removal Mon Jan 12 10:09:01 2015 begin with 2164967 relations and 2611825 unique ideals Mon Jan 12 10:09:02 2015 reduce to 1969973 relations and 1698737 ideals in 7 passes Mon Jan 12 10:09:02 2015 max relations containing the same ideal: 70 Mon Jan 12 10:09:02 2015 removing 611583 relations and 400712 ideals in 210871 cliques Mon Jan 12 10:09:02 2015 commencing in-memory singleton removal Mon Jan 12 10:09:02 2015 begin with 1358390 relations and 1698737 unique ideals Mon Jan 12 10:09:02 2015 reduce to 1235022 relations and 1161924 ideals in 8 passes Mon Jan 12 10:09:02 2015 max relations containing the same ideal: 50 Mon Jan 12 10:09:03 2015 removing 68734 relations and 56001 ideals in 12733 cliques Mon Jan 12 10:09:03 2015 commencing in-memory singleton removal Mon Jan 12 10:09:03 2015 begin with 1166288 relations and 1161924 unique ideals Mon Jan 12 10:09:03 2015 reduce to 1163255 relations and 1102855 ideals in 5 passes Mon Jan 12 10:09:03 2015 max relations containing the same ideal: 47 Mon Jan 12 10:09:03 2015 relations with 0 large ideals: 1195 Mon Jan 12 10:09:03 2015 relations with 1 large ideals: 759 Mon Jan 12 10:09:03 2015 relations with 2 large ideals: 10680 Mon Jan 12 10:09:03 2015 relations with 3 large ideals: 63780 Mon Jan 12 10:09:03 2015 relations with 4 large ideals: 191926 Mon Jan 12 10:09:03 2015 relations with 5 large ideals: 319004 Mon Jan 12 10:09:03 2015 relations with 6 large ideals: 320705 Mon Jan 12 10:09:03 2015 relations with 7+ large ideals: 255206 Mon Jan 12 10:09:03 2015 commencing 2-way merge Mon Jan 12 10:09:03 2015 reduce to 726000 relation sets and 665600 unique ideals Mon Jan 12 10:09:03 2015 commencing full merge Mon Jan 12 10:09:09 2015 memory use: 85.7 MB Mon Jan 12 10:09:09 2015 found 373841 cycles, need 365800 Mon Jan 12 10:09:10 2015 weight of 365800 cycles is about 25819942 (70.58/cycle) Mon Jan 12 10:09:10 2015 distribution of cycle lengths: Mon Jan 12 10:09:10 2015 1 relations: 31691 Mon Jan 12 10:09:10 2015 2 relations: 35005 Mon Jan 12 10:09:10 2015 3 relations: 38111 Mon Jan 12 10:09:10 2015 4 relations: 39017 Mon Jan 12 10:09:10 2015 5 relations: 38546 Mon Jan 12 10:09:10 2015 6 relations: 35710 Mon Jan 12 10:09:10 2015 7 relations: 31826 Mon Jan 12 10:09:10 2015 8 relations: 26503 Mon Jan 12 10:09:10 2015 9 relations: 22151 Mon Jan 12 10:09:10 2015 10+ relations: 67240 Mon Jan 12 10:09:10 2015 heaviest cycle: 19 relations Mon Jan 12 10:09:10 2015 commencing cycle optimization Mon Jan 12 10:09:10 2015 start with 2224959 relations Mon Jan 12 10:09:12 2015 pruned 69901 relations Mon Jan 12 10:09:12 2015 memory use: 70.2 MB Mon Jan 12 10:09:12 2015 distribution of cycle lengths: Mon Jan 12 10:09:12 2015 1 relations: 31691 Mon Jan 12 10:09:12 2015 2 relations: 35694 Mon Jan 12 10:09:12 2015 3 relations: 39533 Mon Jan 12 10:09:12 2015 4 relations: 40431 Mon Jan 12 10:09:12 2015 5 relations: 40111 Mon Jan 12 10:09:12 2015 6 relations: 36957 Mon Jan 12 10:09:12 2015 7 relations: 32674 Mon Jan 12 10:09:12 2015 8 relations: 27010 Mon Jan 12 10:09:12 2015 9 relations: 22067 Mon Jan 12 10:09:12 2015 10+ relations: 59632 Mon Jan 12 10:09:12 2015 heaviest cycle: 19 relations Mon Jan 12 10:09:12 2015 RelProcTime: 108 Mon Jan 12 10:09:12 2015 Mon Jan 12 10:09:12 2015 commencing linear algebra Mon Jan 12 10:09:12 2015 read 365800 cycles Mon Jan 12 10:09:12 2015 cycles contain 1129200 unique relations Mon Jan 12 10:09:21 2015 read 1129200 relations Mon Jan 12 10:09:22 2015 using 20 quadratic characters above 134211314 Mon Jan 12 10:09:25 2015 building initial matrix Mon Jan 12 10:09:31 2015 memory use: 141.8 MB Mon Jan 12 10:09:31 2015 read 365800 cycles Mon Jan 12 10:09:31 2015 matrix is 365622 x 365800 (109.2 MB) with weight 32860897 (89.83/col) Mon Jan 12 10:09:31 2015 sparse part has weight 24595433 (67.24/col) Mon Jan 12 10:09:33 2015 filtering completed in 2 passes Mon Jan 12 10:09:33 2015 matrix is 365509 x 365687 (109.2 MB) with weight 32856208 (89.85/col) Mon Jan 12 10:09:33 2015 sparse part has weight 24593370 (67.25/col) Mon Jan 12 10:09:33 2015 matrix starts at (0, 0) Mon Jan 12 10:09:33 2015 matrix is 365509 x 365687 (109.2 MB) with weight 32856208 (89.85/col) Mon Jan 12 10:09:33 2015 sparse part has weight 24593370 (67.25/col) Mon Jan 12 10:09:33 2015 saving the first 48 matrix rows for later Mon Jan 12 10:09:33 2015 matrix includes 64 packed rows Mon Jan 12 10:09:33 2015 matrix is 365461 x 365687 (103.7 MB) with weight 26090033 (71.35/col) Mon Jan 12 10:09:33 2015 sparse part has weight 23530160 (64.35/col) Mon Jan 12 10:09:33 2015 using block size 65536 for processor cache size 8192 kB Mon Jan 12 10:09:34 2015 commencing Lanczos iteration (8 threads) Mon Jan 12 10:09:34 2015 memory use: 99.5 MB Mon Jan 12 10:09:41 2015 linear algebra at 3.3%, ETA 0h 3m Mon Jan 12 10:12:50 2015 lanczos halted after 5781 iterations (dim = 365460) Mon Jan 12 10:12:50 2015 recovered 38 nontrivial dependencies Mon Jan 12 10:12:50 2015 BLanczosTime: 218 Mon Jan 12 10:12:50 2015 Mon Jan 12 10:12:50 2015 commencing square root phase Mon Jan 12 10:12:50 2015 reading relations for dependency 1 Mon Jan 12 10:12:50 2015 read 183144 cycles Mon Jan 12 10:12:50 2015 cycles contain 565638 unique relations Mon Jan 12 10:12:58 2015 read 565638 relations Mon Jan 12 10:12:59 2015 multiplying 565638 relations Mon Jan 12 10:13:11 2015 multiply complete, coefficients have about 20.37 million bits Mon Jan 12 10:13:11 2015 initial square root is modulo 709321 Mon Jan 12 10:13:28 2015 sqrtTime: 38 Mon Jan 12 11:24:29 2015 Mon Jan 12 11:24:29 2015 commencing relation filtering Mon Jan 12 11:24:29 2015 estimated available RAM is 15987.3 MB Mon Jan 12 11:24:29 2015 commencing duplicate removal, pass 1 Mon Jan 12 11:24:44 2015 found 485257 hash collisions in 4469385 relations Mon Jan 12 11:24:47 2015 added 158786 free relations Mon Jan 12 11:24:47 2015 commencing duplicate removal, pass 2 Mon Jan 12 11:24:50 2015 found 279301 duplicates and 4348870 unique relations Mon Jan 12 11:24:50 2015 memory use: 20.6 MB Mon Jan 12 11:24:50 2015 reading ideals above 100000 Mon Jan 12 11:24:50 2015 commencing singleton removal, initial pass Mon Jan 12 11:25:08 2015 memory use: 172.2 MB Mon Jan 12 11:25:08 2015 reading all ideals from disk Mon Jan 12 11:25:08 2015 memory use: 141.5 MB Mon Jan 12 11:25:08 2015 keeping 5484445 ideals with weight <= 200, target excess is 20966 Mon Jan 12 11:25:08 2015 commencing in-memory singleton removal Mon Jan 12 11:25:08 2015 begin with 4348870 relations and 5484445 unique ideals Mon Jan 12 11:25:09 2015 reduce to 412 relations and 0 ideals in 20 passes Mon Jan 12 11:25:09 2015 max relations containing the same ideal: 0 Mon Jan 12 11:28:43 2015 Mon Jan 12 11:28:43 2015 commencing relation filtering Mon Jan 12 11:28:43 2015 estimated available RAM is 15987.3 MB Mon Jan 12 11:28:43 2015 commencing duplicate removal, pass 1 Mon Jan 12 11:28:58 2015 found 572666 hash collisions in 4991489 relations Mon Jan 12 11:29:01 2015 added 1070 free relations Mon Jan 12 11:29:01 2015 commencing duplicate removal, pass 2 Mon Jan 12 11:29:05 2015 found 319941 duplicates and 4672618 unique relations Mon Jan 12 11:29:05 2015 memory use: 20.6 MB Mon Jan 12 11:29:05 2015 reading ideals above 100000 Mon Jan 12 11:29:05 2015 commencing singleton removal, initial pass Mon Jan 12 11:29:23 2015 memory use: 172.2 MB Mon Jan 12 11:29:24 2015 reading all ideals from disk Mon Jan 12 11:29:24 2015 memory use: 152.2 MB Mon Jan 12 11:29:24 2015 keeping 5642183 ideals with weight <= 200, target excess is 22225 Mon Jan 12 11:29:24 2015 commencing in-memory singleton removal Mon Jan 12 11:29:24 2015 begin with 4672618 relations and 5642183 unique ideals Mon Jan 12 11:29:26 2015 reduce to 949679 relations and 1087921 ideals in 36 passes Mon Jan 12 11:29:26 2015 max relations containing the same ideal: 67 Mon Jan 12 11:33:02 2015 Mon Jan 12 11:33:02 2015 commencing relation filtering Mon Jan 12 11:33:02 2015 estimated available RAM is 15987.3 MB Mon Jan 12 11:33:02 2015 commencing duplicate removal, pass 1 Mon Jan 12 11:33:18 2015 found 646952 hash collisions in 5357884 relations Mon Jan 12 11:33:21 2015 added 904 free relations Mon Jan 12 11:33:21 2015 commencing duplicate removal, pass 2 Mon Jan 12 11:33:25 2015 found 362218 duplicates and 4996570 unique relations Mon Jan 12 11:33:25 2015 memory use: 20.6 MB Mon Jan 12 11:33:25 2015 reading ideals above 100000 Mon Jan 12 11:33:25 2015 commencing singleton removal, initial pass Mon Jan 12 11:33:45 2015 memory use: 172.2 MB Mon Jan 12 11:33:46 2015 reading all ideals from disk Mon Jan 12 11:33:46 2015 memory use: 162.8 MB Mon Jan 12 11:33:46 2015 keeping 5787095 ideals with weight <= 200, target excess is 23752 Mon Jan 12 11:33:46 2015 commencing in-memory singleton removal Mon Jan 12 11:33:46 2015 begin with 4996570 relations and 5787095 unique ideals Mon Jan 12 11:33:48 2015 reduce to 1472901 relations and 1529879 ideals in 25 passes Mon Jan 12 11:33:48 2015 max relations containing the same ideal: 86 Mon Jan 12 11:37:20 2015 Mon Jan 12 11:37:20 2015 commencing relation filtering Mon Jan 12 11:37:20 2015 estimated available RAM is 15987.3 MB Mon Jan 12 11:37:20 2015 commencing duplicate removal, pass 1 Mon Jan 12 11:37:38 2015 found 724486 hash collisions in 5724855 relations Mon Jan 12 11:37:42 2015 added 780 free relations Mon Jan 12 11:37:42 2015 commencing duplicate removal, pass 2 Mon Jan 12 11:37:46 2015 found 406780 duplicates and 5318855 unique relations Mon Jan 12 11:37:46 2015 memory use: 20.6 MB Mon Jan 12 11:37:46 2015 reading ideals above 100000 Mon Jan 12 11:37:46 2015 commencing singleton removal, initial pass Mon Jan 12 11:38:07 2015 memory use: 172.2 MB Mon Jan 12 11:38:08 2015 reading all ideals from disk Mon Jan 12 11:38:08 2015 memory use: 173.4 MB Mon Jan 12 11:38:08 2015 keeping 5919968 ideals with weight <= 200, target excess is 25312 Mon Jan 12 11:38:08 2015 commencing in-memory singleton removal Mon Jan 12 11:38:09 2015 begin with 5318855 relations and 5919968 unique ideals Mon Jan 12 11:38:10 2015 reduce to 1943024 relations and 1893459 ideals in 19 passes Mon Jan 12 11:38:10 2015 max relations containing the same ideal: 104 Mon Jan 12 11:38:11 2015 removing 147678 relations and 137576 ideals in 10102 cliques Mon Jan 12 11:38:11 2015 commencing in-memory singleton removal Mon Jan 12 11:38:11 2015 begin with 1795346 relations and 1893459 unique ideals Mon Jan 12 11:38:11 2015 reduce to 1784466 relations and 1744917 ideals in 10 passes Mon Jan 12 11:38:11 2015 max relations containing the same ideal: 95 Mon Jan 12 11:38:12 2015 removing 106102 relations and 96000 ideals in 10102 cliques Mon Jan 12 11:38:12 2015 commencing in-memory singleton removal Mon Jan 12 11:38:12 2015 begin with 1678364 relations and 1744917 unique ideals Mon Jan 12 11:38:12 2015 reduce to 1672765 relations and 1643265 ideals in 8 passes Mon Jan 12 11:38:12 2015 max relations containing the same ideal: 93 Mon Jan 12 11:38:13 2015 relations with 0 large ideals: 484 Mon Jan 12 11:38:13 2015 relations with 1 large ideals: 194 Mon Jan 12 11:38:13 2015 relations with 2 large ideals: 2893 Mon Jan 12 11:38:13 2015 relations with 3 large ideals: 26657 Mon Jan 12 11:38:13 2015 relations with 4 large ideals: 125545 Mon Jan 12 11:38:13 2015 relations with 5 large ideals: 352547 Mon Jan 12 11:38:13 2015 relations with 6 large ideals: 499958 Mon Jan 12 11:38:13 2015 relations with 7+ large ideals: 664487 Mon Jan 12 11:38:13 2015 commencing 2-way merge Mon Jan 12 11:38:13 2015 reduce to 938886 relation sets and 909388 unique ideals Mon Jan 12 11:38:13 2015 ignored 2 oversize relation sets Mon Jan 12 11:38:13 2015 commencing full merge Mon Jan 12 11:38:22 2015 memory use: 101.8 MB Mon Jan 12 11:38:22 2015 found 446625 cycles, need 445588 Mon Jan 12 11:38:22 2015 weight of 445588 cycles is about 31504857 (70.70/cycle) Mon Jan 12 11:38:22 2015 distribution of cycle lengths: Mon Jan 12 11:38:22 2015 1 relations: 54996 Mon Jan 12 11:38:22 2015 2 relations: 51032 Mon Jan 12 11:38:22 2015 3 relations: 48147 Mon Jan 12 11:38:22 2015 4 relations: 42280 Mon Jan 12 11:38:22 2015 5 relations: 37859 Mon Jan 12 11:38:22 2015 6 relations: 32040 Mon Jan 12 11:38:22 2015 7 relations: 27985 Mon Jan 12 11:38:22 2015 8 relations: 24001 Mon Jan 12 11:38:22 2015 9 relations: 20316 Mon Jan 12 11:38:22 2015 10+ relations: 106932 Mon Jan 12 11:38:22 2015 heaviest cycle: 28 relations Mon Jan 12 11:38:22 2015 commencing cycle optimization Mon Jan 12 11:38:23 2015 start with 2977201 relations Mon Jan 12 11:38:25 2015 pruned 62802 relations Mon Jan 12 11:38:26 2015 memory use: 97.5 MB Mon Jan 12 11:38:26 2015 distribution of cycle lengths: Mon Jan 12 11:38:26 2015 1 relations: 54996 Mon Jan 12 11:38:26 2015 2 relations: 52003 Mon Jan 12 11:38:26 2015 3 relations: 49751 Mon Jan 12 11:38:26 2015 4 relations: 42989 Mon Jan 12 11:38:26 2015 5 relations: 38523 Mon Jan 12 11:38:26 2015 6 relations: 32420 Mon Jan 12 11:38:26 2015 7 relations: 28065 Mon Jan 12 11:38:26 2015 8 relations: 23965 Mon Jan 12 11:38:26 2015 9 relations: 20247 Mon Jan 12 11:38:26 2015 10+ relations: 102629 Mon Jan 12 11:38:26 2015 heaviest cycle: 28 relations Mon Jan 12 11:38:26 2015 RelProcTime: 66 Mon Jan 12 11:38:26 2015 Mon Jan 12 11:38:26 2015 commencing linear algebra Mon Jan 12 11:38:26 2015 read 445588 cycles Mon Jan 12 11:38:26 2015 cycles contain 1632050 unique relations Mon Jan 12 11:38:34 2015 read 1632050 relations Mon Jan 12 11:38:35 2015 using 20 quadratic characters above 67106762 Mon Jan 12 11:38:40 2015 building initial matrix Mon Jan 12 11:38:48 2015 memory use: 199.8 MB Mon Jan 12 11:38:48 2015 read 445588 cycles Mon Jan 12 11:38:48 2015 matrix is 445433 x 445588 (134.0 MB) with weight 42758423 (95.96/col) Mon Jan 12 11:38:48 2015 sparse part has weight 30226582 (67.84/col) Mon Jan 12 11:38:50 2015 filtering completed in 2 passes Mon Jan 12 11:38:50 2015 matrix is 445050 x 445224 (134.0 MB) with weight 42741946 (96.00/col) Mon Jan 12 11:38:50 2015 sparse part has weight 30221800 (67.88/col) Mon Jan 12 11:38:51 2015 matrix starts at (0, 0) Mon Jan 12 11:38:51 2015 matrix is 445050 x 445224 (134.0 MB) with weight 42741946 (96.00/col) Mon Jan 12 11:38:51 2015 sparse part has weight 30221800 (67.88/col) Mon Jan 12 11:38:51 2015 saving the first 48 matrix rows for later Mon Jan 12 11:38:51 2015 matrix includes 64 packed rows Mon Jan 12 11:38:51 2015 matrix is 445002 x 445224 (129.5 MB) with weight 33924663 (76.20/col) Mon Jan 12 11:38:51 2015 sparse part has weight 29506960 (66.27/col) Mon Jan 12 11:38:51 2015 using block size 65536 for processor cache size 8192 kB Mon Jan 12 11:38:52 2015 commencing Lanczos iteration (8 threads) Mon Jan 12 11:38:52 2015 memory use: 123.2 MB Mon Jan 12 11:39:00 2015 linear algebra at 2.7%, ETA 0h 4m Mon Jan 12 11:43:51 2015 lanczos halted after 7040 iterations (dim = 445000) Mon Jan 12 11:43:51 2015 recovered 31 nontrivial dependencies Mon Jan 12 11:43:51 2015 BLanczosTime: 325 Mon Jan 12 11:43:51 2015 Mon Jan 12 11:43:51 2015 commencing square root phase Mon Jan 12 11:43:51 2015 reading relations for dependency 1 Mon Jan 12 11:43:51 2015 read 221894 cycles Mon Jan 12 11:43:52 2015 cycles contain 813888 unique relations Mon Jan 12 11:43:57 2015 read 813888 relations Mon Jan 12 11:43:58 2015 multiplying 813888 relations Mon Jan 12 11:44:14 2015 multiply complete, coefficients have about 33.70 million bits Mon Jan 12 11:44:14 2015 initial square root is modulo 68909 Mon Jan 12 11:44:37 2015 sqrtTime: 46 -- n: 16715338452355138200798894493446290435299786511321190925764114375558823139966148115448488114291118331702727 skew: 10229585.21 c0: 2055851947883881626209720273466 c1: -155761151429118264969255 c2: -114324595728395695 c3: 3561086839 c4: 588 Y0: -73018755245975677755791639 Y1: 4097189722183 rlim: 2780000 alim: 2780000 lpbr: 26 lpba: 26 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5``` `yafu v1.34.3` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:09:41 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 41 秒 (日本時間)

## 718×10153-79

### c124

name 名前 Serge Batalov January 8, 2015 22:59:47 UTC 2015 年 1 月 9 日 (金) 7 時 59 分 47 秒 (日本時間) `3538064738912454386638170363872775211467725807086633779472503218451386768310681328090224216640376125597513754452845522273997<124>` ```6072743628513529954088178355989611129<37> 582613881854006814107276994310481182245426312022839157698894088911772709186768353391093<87>``` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1808847151 Step 1 took 7638ms Step 2 took 6596ms ********** Factor found in step 2: 6072743628513529954088178355989611129 Found probable prime factor of 37 digits: 6072743628513529954088178355989611129 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)

## 718×10156-79

### c147

name 名前 Serge Batalov January 9, 2015 03:55:51 UTC 2015 年 1 月 9 日 (金) 12 時 55 分 51 秒 (日本時間) `438076955329629513754878526579575510322334339399744238034043198477141376786221031954719563920995883161716385377898834540046503286896291866800830299<147>` `62953665112250538362467690580011<32>` `6958720426340696758230591052096392426364748871333280217388192225822502732127582186510426397279253636211393566328209<115>` ```Input number is 438076955329629513754878526579575510322334339399744238034043198477141376786221031954719563920995883161716385377898834540046503286896291866800830299 (147 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=159779299 Step 1 took 9209ms Step 2 took 7753ms ********** Factor found in step 2: 62953665112250538362467690580011 Found probable prime factor of 32 digits: 62953665112250538362467690580011 Composite cofactor 6958720426340696758230591052096392426364748871333280217388192225822502732127582186510426397279253636211393566328209 has 115 digits```

### c115

name 名前 Jo Yeong Uk January 19, 2015 13:24:55 UTC 2015 年 1 月 19 日 (月) 22 時 24 分 55 秒 (日本時間) `6958720426340696758230591052096392426364748871333280217388192225822502732127582186510426397279253636211393566328209<115>` ```299502084171273977116652998205141849529176977<45> 23234297168901389936914959332408525192308055281781721106739780317794817<71>``` ```Number: 79777_156 N=6958720426340696758230591052096392426364748871333280217388192225822502732127582186510426397279253636211393566328209 ( 115 digits) SNFS difficulty: 158 digits. Divisors found: r1=299502084171273977116652998205141849529176977 r2=23234297168901389936914959332408525192308055281781721106739780317794817 Version: Total time: 11.47 hours. Scaled time: 60.27 units (timescale=5.255). Factorization parameters were as follows: n: 6958720426340696758230591052096392426364748871333280217388192225822502732127582186510426397279253636211393566328209 m: 10000000000000000000000000000000 deg: 5 c5: 7180 c0: -7 skew: 0.25 # Murphy_E = 4.508e-10 type: snfs lss: 1 rlim: 2400000 alim: 2400000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved rational special-q in [1200000, 3075001) Primes: rational ideals reading, algebraic ideals reading, Relations: 8590098 Max relations in full relation-set: Initial matrix: Pruned matrix : 589276 x 589524 Total sieving time: 10.58 hours. Total relation processing time: 0.50 hours. Matrix solve time: 0.32 hours. Time per square root: 0.08 hours. Prototype def-par.txt line would be: snfs,158,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,75000 total time: 11.47 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)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:09:43 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 43 秒 (日本時間)

## 718×10157-79

### c143

name 名前 Jo Yeong Uk January 19, 2015 13:25:40 UTC 2015 年 1 月 19 日 (月) 22 時 25 分 40 秒 (日本時間) `15222763516953180510520489475694835955413621325918601846976336775523906178844654394580661715900386772896836689730198640850936779719530842160989<143>` ```1358666965908256136060120096678887<34> 11204190503577089427547884067248238849563894718444912362068129556842937565026512318738280183281650997150865947<110>``` ```GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM] Input number is 15222763516953180510520489475694835955413621325918601846976336775523906178844654394580661715900386772896836689730198640850936779719530842160989 (143 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2403723612 Step 1 took 6725ms ********** Factor found in step 1: 1358666965908256136060120096678887 Found probable prime factor of 34 digits: 1358666965908256136060120096678887 Probable prime cofactor 11204190503577089427547884067248238849563894718444912362068129556842937565026512318738280183281650997150865947 has 110 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)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:09:43 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 43 秒 (日本時間)

## 718×10158-79

### c142

name 名前 Serge Batalov January 9, 2015 03:55:55 UTC 2015 年 1 月 9 日 (金) 12 時 55 分 55 秒 (日本時間) `4267956993283183635066252462741132801471317294940239067681801774827919598409849118394652651944549224740298359226776803373675853079250752169569<142>` `104412810560612669610501479003560823<36>` `40875798384965342662554593356065518394283566169467677952433929796753953325249264073202896102673146134057703<107>` ```Input number is 4267956993283183635066252462741132801471317294940239067681801774827919598409849118394652651944549224740298359226776803373675853079250752169569 (142 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3835697874 Step 1 took 9803ms Step 2 took 2041ms ********** Factor found in step 2: 104412810560612669610501479003560823 Found probable prime factor of 36 digits: 104412810560612669610501479003560823 Composite cofactor 40875798384965342662554593356065518394283566169467677952433929796753953325249264073202896102673146134057703 has 107 digits```

### c107

name 名前 Cyp January 10, 2015 01:57:01 UTC 2015 年 1 月 10 日 (土) 10 時 57 分 1 秒 (日本時間) `40875798384965342662554593356065518394283566169467677952433929796753953325249264073202896102673146134057703<107>` ```1395881333963510349512737415220073341764264553911081<52> 29283147063010926732580673614141510386196957475347531663<56>``` ```01/10/15 01:54:33 v1.34.3, 01/10/15 01:54:33 v1.34.3, **************************** 01/10/15 01:54:33 v1.34.3, Starting factorization of 40875798384965342662554593356065518394283566169467677952433929796753953325249264073202896102673146134057703 01/10/15 01:54:33 v1.34.3, using pretesting plan: none 01/10/15 01:54:33 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 01/10/15 01:54:33 v1.34.3, **************************** 01/10/15 01:54:33 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C107 01/10/15 01:54:33 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C107 01/10/15 01:54:33 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C107 01/10/15 01:54:33 v1.34.3, final ECM pretested depth: 0.00 01/10/15 01:54:33 v1.34.3, scheduler: switching to sieve method 01/10/15 01:54:33 v1.34.3, nfs: commencing nfs on c107: 40875798384965342662554593356065518394283566169467677952433929796753953325249264073202896102673146134057703 01/10/15 01:54:33 v1.34.3, nfs: commencing poly selection with 8 threads 01/10/15 01:54:33 v1.34.3, nfs: setting deadline of 317 seconds 01/10/15 02:00:07 v1.34.3, nfs: completed 61 ranges of size 250 in 333.8028 seconds 01/10/15 02:00:07 v1.34.3, nfs: best poly = # norm 1.183201e-14 alpha -4.895059 e 4.279e-09 rroots 2 01/10/15 02:00:07 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/10/15 02:01:45 v1.34.3, nfs: commencing lattice sieving with 8 threads [18 lines snipped] 01/10/15 02:34:15 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/10/15 02:36:00 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/10/15 02:37:50 v1.34.3, nfs: commencing msieve filtering 01/10/15 02:38:30 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/10/15 02:40:20 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/10/15 02:42:06 v1.34.3, nfs: commencing msieve filtering 01/10/15 02:42:50 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/10/15 02:44:34 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/10/15 02:46:20 v1.34.3, nfs: commencing msieve filtering 01/10/15 02:47:09 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/10/15 02:49:00 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/10/15 02:50:50 v1.34.3, nfs: commencing msieve filtering 01/10/15 02:51:54 v1.34.3, nfs: commencing msieve linear algebra 01/10/15 02:55:42 v1.34.3, nfs: commencing msieve sqrt 01/10/15 02:57:00 v1.34.3, prp52 = 1395881333963510349512737415220073341764264553911081 01/10/15 02:57:00 v1.34.3, prp56 = 29283147063010926732580673614141510386196957475347531663 01/10/15 02:57:00 v1.34.3, NFS elapsed time = 3746.8186 seconds. 01/10/15 02:57:00 v1.34.3, 01/10/15 02:57:00 v1.34.3, 01/10/15 02:57:00 v1.34.3, Total factoring time = 3746.8408 seconds -- Sat Jan 10 02:37:50 2015 Sat Jan 10 02:37:50 2015 commencing relation filtering Sat Jan 10 02:37:50 2015 estimated available RAM is 15987.3 MB Sat Jan 10 02:37:50 2015 commencing duplicate removal, pass 1 Sat Jan 10 02:38:04 2015 found 466182 hash collisions in 4545800 relations Sat Jan 10 02:38:08 2015 added 159077 free relations Sat Jan 10 02:38:08 2015 commencing duplicate removal, pass 2 Sat Jan 10 02:38:11 2015 found 243512 duplicates and 4461365 unique relations Sat Jan 10 02:38:11 2015 memory use: 20.6 MB Sat Jan 10 02:38:11 2015 reading ideals above 100000 Sat Jan 10 02:38:11 2015 commencing singleton removal, initial pass Sat Jan 10 02:38:29 2015 memory use: 172.2 MB Sat Jan 10 02:38:29 2015 reading all ideals from disk Sat Jan 10 02:38:29 2015 memory use: 145.1 MB Sat Jan 10 02:38:29 2015 keeping 5527934 ideals with weight <= 200, target excess is 21405 Sat Jan 10 02:38:29 2015 commencing in-memory singleton removal Sat Jan 10 02:38:29 2015 begin with 4461365 relations and 5527934 unique ideals Sat Jan 10 02:38:30 2015 reduce to 404 relations and 0 ideals in 34 passes Sat Jan 10 02:38:30 2015 max relations containing the same ideal: 0 Sat Jan 10 02:42:06 2015 Sat Jan 10 02:42:06 2015 commencing relation filtering Sat Jan 10 02:42:06 2015 estimated available RAM is 15987.3 MB Sat Jan 10 02:42:06 2015 commencing duplicate removal, pass 1 Sat Jan 10 02:42:22 2015 found 561071 hash collisions in 5112505 relations Sat Jan 10 02:42:25 2015 added 1326 free relations Sat Jan 10 02:42:25 2015 commencing duplicate removal, pass 2 Sat Jan 10 02:42:29 2015 found 283840 duplicates and 4829991 unique relations Sat Jan 10 02:42:29 2015 memory use: 20.6 MB Sat Jan 10 02:42:29 2015 reading ideals above 100000 Sat Jan 10 02:42:29 2015 commencing singleton removal, initial pass Sat Jan 10 02:42:48 2015 memory use: 172.2 MB Sat Jan 10 02:42:48 2015 reading all ideals from disk Sat Jan 10 02:42:48 2015 memory use: 157.2 MB Sat Jan 10 02:42:48 2015 keeping 5701945 ideals with weight <= 200, target excess is 23003 Sat Jan 10 02:42:48 2015 commencing in-memory singleton removal Sat Jan 10 02:42:49 2015 begin with 4829991 relations and 5701945 unique ideals Sat Jan 10 02:42:50 2015 reduce to 1235659 relations and 1330042 ideals in 29 passes Sat Jan 10 02:42:50 2015 max relations containing the same ideal: 82 Sat Jan 10 02:46:20 2015 Sat Jan 10 02:46:20 2015 commencing relation filtering Sat Jan 10 02:46:20 2015 estimated available RAM is 15987.3 MB Sat Jan 10 02:46:20 2015 commencing duplicate removal, pass 1 Sat Jan 10 02:46:36 2015 found 642451 hash collisions in 5520896 relations Sat Jan 10 02:46:40 2015 added 1020 free relations Sat Jan 10 02:46:40 2015 commencing duplicate removal, pass 2 Sat Jan 10 02:46:44 2015 found 326518 duplicates and 5195398 unique relations Sat Jan 10 02:46:44 2015 memory use: 20.6 MB Sat Jan 10 02:46:44 2015 reading ideals above 100000 Sat Jan 10 02:46:44 2015 commencing singleton removal, initial pass Sat Jan 10 02:47:06 2015 memory use: 172.2 MB Sat Jan 10 02:47:07 2015 reading all ideals from disk Sat Jan 10 02:47:07 2015 memory use: 169.2 MB Sat Jan 10 02:47:07 2015 keeping 5859467 ideals with weight <= 200, target excess is 24775 Sat Jan 10 02:47:07 2015 commencing in-memory singleton removal Sat Jan 10 02:47:07 2015 begin with 5195398 relations and 5859467 unique ideals Sat Jan 10 02:47:09 2015 reduce to 1778298 relations and 1763078 ideals in 19 passes Sat Jan 10 02:47:09 2015 max relations containing the same ideal: 104 Sat Jan 10 02:50:50 2015 Sat Jan 10 02:50:50 2015 commencing relation filtering Sat Jan 10 02:50:50 2015 estimated available RAM is 15987.3 MB Sat Jan 10 02:50:50 2015 commencing duplicate removal, pass 1 Sat Jan 10 02:51:07 2015 found 732382 hash collisions in 5950733 relations Sat Jan 10 02:51:11 2015 added 758 free relations Sat Jan 10 02:51:11 2015 commencing duplicate removal, pass 2 Sat Jan 10 02:51:15 2015 found 374484 duplicates and 5577007 unique relations Sat Jan 10 02:51:15 2015 memory use: 20.6 MB Sat Jan 10 02:51:15 2015 reading ideals above 100000 Sat Jan 10 02:51:15 2015 commencing singleton removal, initial pass Sat Jan 10 02:51:37 2015 memory use: 172.2 MB Sat Jan 10 02:51:39 2015 reading all ideals from disk Sat Jan 10 02:51:39 2015 memory use: 181.8 MB Sat Jan 10 02:51:39 2015 keeping 6007856 ideals with weight <= 200, target excess is 26724 Sat Jan 10 02:51:39 2015 commencing in-memory singleton removal Sat Jan 10 02:51:39 2015 begin with 5577007 relations and 6007856 unique ideals Sat Jan 10 02:51:41 2015 reduce to 2316464 relations and 2155862 ideals in 18 passes Sat Jan 10 02:51:41 2015 max relations containing the same ideal: 113 Sat Jan 10 02:51:42 2015 removing 455724 relations and 390923 ideals in 64801 cliques Sat Jan 10 02:51:42 2015 commencing in-memory singleton removal Sat Jan 10 02:51:42 2015 begin with 1860740 relations and 2155862 unique ideals Sat Jan 10 02:51:43 2015 reduce to 1782865 relations and 1684098 ideals in 10 passes Sat Jan 10 02:51:43 2015 max relations containing the same ideal: 98 Sat Jan 10 02:51:43 2015 removing 345317 relations and 280516 ideals in 64801 cliques Sat Jan 10 02:51:43 2015 commencing in-memory singleton removal Sat Jan 10 02:51:43 2015 begin with 1437548 relations and 1684098 unique ideals Sat Jan 10 02:51:43 2015 reduce to 1378635 relations and 1342549 ideals in 12 passes Sat Jan 10 02:51:43 2015 max relations containing the same ideal: 83 Sat Jan 10 02:51:44 2015 relations with 0 large ideals: 479 Sat Jan 10 02:51:44 2015 relations with 1 large ideals: 239 Sat Jan 10 02:51:44 2015 relations with 2 large ideals: 3325 Sat Jan 10 02:51:44 2015 relations with 3 large ideals: 27892 Sat Jan 10 02:51:44 2015 relations with 4 large ideals: 122292 Sat Jan 10 02:51:44 2015 relations with 5 large ideals: 314086 Sat Jan 10 02:51:44 2015 relations with 6 large ideals: 416298 Sat Jan 10 02:51:44 2015 relations with 7+ large ideals: 494024 Sat Jan 10 02:51:44 2015 commencing 2-way merge Sat Jan 10 02:51:44 2015 reduce to 795578 relation sets and 759492 unique ideals Sat Jan 10 02:51:44 2015 commencing full merge Sat Jan 10 02:51:51 2015 memory use: 88.2 MB Sat Jan 10 02:51:51 2015 found 383306 cycles, need 375692 Sat Jan 10 02:51:52 2015 weight of 375692 cycles is about 26322730 (70.06/cycle) Sat Jan 10 02:51:52 2015 distribution of cycle lengths: Sat Jan 10 02:51:52 2015 1 relations: 40625 Sat Jan 10 02:51:52 2015 2 relations: 39307 Sat Jan 10 02:51:52 2015 3 relations: 38931 Sat Jan 10 02:51:52 2015 4 relations: 36148 Sat Jan 10 02:51:52 2015 5 relations: 32983 Sat Jan 10 02:51:52 2015 6 relations: 29740 Sat Jan 10 02:51:52 2015 7 relations: 26374 Sat Jan 10 02:51:52 2015 8 relations: 23348 Sat Jan 10 02:51:52 2015 9 relations: 20354 Sat Jan 10 02:51:52 2015 10+ relations: 87882 Sat Jan 10 02:51:52 2015 heaviest cycle: 23 relations Sat Jan 10 02:51:52 2015 commencing cycle optimization Sat Jan 10 02:51:52 2015 start with 2430093 relations Sat Jan 10 02:51:54 2015 pruned 58044 relations Sat Jan 10 02:51:54 2015 memory use: 79.1 MB Sat Jan 10 02:51:54 2015 distribution of cycle lengths: Sat Jan 10 02:51:54 2015 1 relations: 40625 Sat Jan 10 02:51:54 2015 2 relations: 40141 Sat Jan 10 02:51:54 2015 3 relations: 40241 Sat Jan 10 02:51:54 2015 4 relations: 36988 Sat Jan 10 02:51:54 2015 5 relations: 33820 Sat Jan 10 02:51:54 2015 6 relations: 30240 Sat Jan 10 02:51:54 2015 7 relations: 26719 Sat Jan 10 02:51:54 2015 8 relations: 23456 Sat Jan 10 02:51:54 2015 9 relations: 20435 Sat Jan 10 02:51:54 2015 10+ relations: 83027 Sat Jan 10 02:51:54 2015 heaviest cycle: 23 relations Sat Jan 10 02:51:54 2015 RelProcTime: 64 Sat Jan 10 02:51:54 2015 Sat Jan 10 02:51:54 2015 commencing linear algebra Sat Jan 10 02:51:54 2015 read 375692 cycles Sat Jan 10 02:51:55 2015 cycles contain 1310185 unique relations Sat Jan 10 02:52:01 2015 read 1310185 relations Sat Jan 10 02:52:02 2015 using 20 quadratic characters above 67108290 Sat Jan 10 02:52:06 2015 building initial matrix Sat Jan 10 02:52:12 2015 memory use: 163.1 MB Sat Jan 10 02:52:12 2015 read 375692 cycles Sat Jan 10 02:52:12 2015 matrix is 375528 x 375692 (111.9 MB) with weight 35399644 (94.23/col) Sat Jan 10 02:52:12 2015 sparse part has weight 25202011 (67.08/col) Sat Jan 10 02:52:14 2015 filtering completed in 2 passes Sat Jan 10 02:52:14 2015 matrix is 374662 x 374831 (111.8 MB) with weight 35359721 (94.34/col) Sat Jan 10 02:52:14 2015 sparse part has weight 25187030 (67.20/col) Sat Jan 10 02:52:14 2015 matrix starts at (0, 0) Sat Jan 10 02:52:15 2015 matrix is 374662 x 374831 (111.8 MB) with weight 35359721 (94.34/col) Sat Jan 10 02:52:15 2015 sparse part has weight 25187030 (67.20/col) Sat Jan 10 02:52:15 2015 saving the first 48 matrix rows for later Sat Jan 10 02:52:15 2015 matrix includes 64 packed rows Sat Jan 10 02:52:15 2015 matrix is 374614 x 374831 (107.4 MB) with weight 27900401 (74.43/col) Sat Jan 10 02:52:15 2015 sparse part has weight 24403503 (65.11/col) Sat Jan 10 02:52:15 2015 using block size 65536 for processor cache size 8192 kB Sat Jan 10 02:52:15 2015 commencing Lanczos iteration (8 threads) Sat Jan 10 02:52:15 2015 memory use: 102.1 MB Sat Jan 10 02:52:22 2015 linear algebra at 3.2%, ETA 0h 3m Sat Jan 10 02:55:42 2015 lanczos halted after 5924 iterations (dim = 374602) Sat Jan 10 02:55:42 2015 recovered 31 nontrivial dependencies Sat Jan 10 02:55:42 2015 BLanczosTime: 228 Sat Jan 10 02:55:42 2015 Sat Jan 10 02:55:42 2015 commencing square root phase Sat Jan 10 02:55:42 2015 reading relations for dependency 1 Sat Jan 10 02:55:42 2015 read 187911 cycles Sat Jan 10 02:55:42 2015 cycles contain 655724 unique relations Sat Jan 10 02:55:47 2015 read 655724 relations Sat Jan 10 02:55:48 2015 multiplying 655724 relations Sat Jan 10 02:56:01 2015 multiply complete, coefficients have about 29.16 million bits Sat Jan 10 02:56:02 2015 initial square root is modulo 237022339 Sat Jan 10 02:56:20 2015 GCD is 1, no factor found Sat Jan 10 02:56:20 2015 reading relations for dependency 2 Sat Jan 10 02:56:20 2015 read 187501 cycles Sat Jan 10 02:56:20 2015 cycles contain 655550 unique relations Sat Jan 10 02:56:25 2015 read 655550 relations Sat Jan 10 02:56:27 2015 multiplying 655550 relations Sat Jan 10 02:56:39 2015 multiply complete, coefficients have about 29.15 million bits Sat Jan 10 02:56:40 2015 initial square root is modulo 235663787 Sat Jan 10 02:57:00 2015 sqrtTime: 78 -- n: 40875798384965342662554593356065518394283566169467677952433929796753953325249264073202896102673146134057703 skew: 1208875.84 c0: -9152996604926849684377669840 c1: -30582708773023177258284 c2: 50358846640098754 c3: 23748577743 c4: 13140 Y0: -41996923727604240858093033 Y1: 51636805417043 rlim: 2780000 alim: 2780000 lpbr: 26 lpba: 26 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5``` `yafu v1.34.3` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:09:44 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 44 秒 (日本時間)

## 718×10159-79

### c160

name 名前 Jo Yeong Uk January 22, 2015 11:39:11 UTC 2015 年 1 月 22 日 (木) 20 時 39 分 11 秒 (日本時間) `1352165725047080979284369114877589453860640301318267419962335216572504708097928436911487758945386064030131826741996233521657250470809792843691148775894538606403<160>` ```58966007826112460796188401267885960728198656707<47> 22931274727543772548813394343271924241579224165279263384765257002046708594575588249236548410762803026489037881729<113>``` ```Number: 79777_159 N=1352165725047080979284369114877589453860640301318267419962335216572504708097928436911487758945386064030131826741996233521657250470809792843691148775894538606403 ( 160 digits) SNFS difficulty: 162 digits. Divisors found: r1=58966007826112460796188401267885960728198656707 r2=22931274727543772548813394343271924241579224165279263384765257002046708594575588249236548410762803026489037881729 Version: Total time: 12.74 hours. Scaled time: 66.99 units (timescale=5.259). Factorization parameters were as follows: n: 1352165725047080979284369114877589453860640301318267419962335216572504708097928436911487758945386064030131826741996233521657250470809792843691148775894538606403 m: 100000000000000000000000000000000 deg: 5 c5: 359 c0: -35 skew: 0.63 # Murphy_E = 3.649e-10 type: snfs lss: 1 rlim: 3400000 alim: 3400000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 3400000/3400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved rational special-q in [1700000, 3600001) Primes: rational ideals reading, algebraic ideals reading, Relations: 9713989 Max relations in full relation-set: Initial matrix: Pruned matrix : 674248 x 674496 Total sieving time: 11.80 hours. Total relation processing time: 0.44 hours. Matrix solve time: 0.42 hours. Time per square root: 0.08 hours. Prototype def-par.txt line would be: snfs,162,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000 total time: 12.74 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)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:09:44 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 44 秒 (日本時間)

## 718×10160-79

### c156

name 名前 Jo Yeong Uk January 24, 2015 01:51:38 UTC 2015 年 1 月 24 日 (土) 10 時 51 分 38 秒 (日本時間) `249537703600436336484841609765640653125666527196638178010535982311599815759153993505138304534492800889382959640195825234218764700090608599868620831873207599<156>` ```2259643398722643334892631412096229342389<40> 110432338014705249284606231293561496984555264869184398182578688025086951202768724044148966721385290672945216055751891<117>``` ```Number: 79777_160 N=249537703600436336484841609765640653125666527196638178010535982311599815759153993505138304534492800889382959640195825234218764700090608599868620831873207599 ( 156 digits) SNFS difficulty: 162 digits. Divisors found: r1=2259643398722643334892631412096229342389 r2=110432338014705249284606231293561496984555264869184398182578688025086951202768724044148966721385290672945216055751891 Version: Total time: 11.47 hours. Scaled time: 60.31 units (timescale=5.257). Factorization parameters were as follows: n: 249537703600436336484841609765640653125666527196638178010535982311599815759153993505138304534492800889382959640195825234218764700090608599868620831873207599 m: 100000000000000000000000000000000 deg: 5 c5: 718 c0: -7 skew: 0.40 # Murphy_E = 4.011e-10 type: snfs lss: 1 rlim: 3400000 alim: 3400000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 3400000/3400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved rational special-q in [1700000, 3400001) Primes: rational ideals reading, algebraic ideals reading, Relations: 9330776 Max relations in full relation-set: Initial matrix: Pruned matrix : 712807 x 713054 Total sieving time: 10.58 hours. Total relation processing time: 0.38 hours. Matrix solve time: 0.48 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,162,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000 total time: 11.47 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)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:09:45 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 45 秒 (日本時間)

## 718×10163-79

### c113

name 名前 Ignacio Santos January 10, 2015 12:04:28 UTC 2015 年 1 月 10 日 (土) 21 時 4 分 28 秒 (日本時間) `43380760696561920341707863867412501904295838547596864859676697878071776150840241604931561644416367553974011957581<113>` ```3041678407534607562181002856853<31> 14262112848321669056815662698976230664937935713975573439911071127790968944311708377<83>``` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3197603825 Step 1 took 1391ms Step 2 took 1765ms ********** Factor found in step 2: 3041678407534607562181002856853 Found probable prime factor of 31 digits: 3041678407534607562181002856853 Probable prime cofactor 14262112848321669056815662698976230664937935713975573439911071127790968944311708377 has 83 digits``` `GMP-ECM 7.0`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 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)

## 718×10164-79

### c131

name 名前 Serge Batalov January 8, 2015 23:07:03 UTC 2015 年 1 月 9 日 (金) 8 時 7 分 3 秒 (日本時間) `28944870373423866881880260381951849279458505884826545969538727027841367982182622322450852356685786495164555010216092918205090905547<131>` ```59297739351904257245774780225389231<35> 488127721052730927291279052459963574864184326423096496275434814369516672700192216881222243184037<96>``` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=711674177 Step 1 took 7984ms Step 2 took 7818ms ********** Factor found in step 2: 59297739351904257245774780225389231 Found probable prime factor of 35 digits: 59297739351904257245774780225389231 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)

## 718×10165-79

### c132

name 名前 Serge Batalov January 8, 2015 23:08:46 UTC 2015 年 1 月 9 日 (金) 8 時 8 分 46 秒 (日本時間) `514838422394315864389690763029844687652348089905910583142026660736539535189809399683321329539894406601082461485983301831176149172407<132>` ```58807325813996426946266934814981<32> 8754664750829085290010811085388989111238444228543787605960057986681290754453027068986080476907454347<100>``` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2236886160 Step 1 took 7980ms ********** Factor found in step 1: 58807325813996426946266934814981 Found probable prime factor of 32 digits: 58807325813996426946266934814981 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)

## 718×10167-79

### c153

name 名前 Jo Yeong Uk March 25, 2015 11:47:38 UTC 2015 年 3 月 25 日 (水) 20 時 47 分 38 秒 (日本時間) `166505650129559984727681404813399596743934082865869218376988267562057562798812603483766979483208167052022177943256462823125210344844536834042641997992527<153>` ```16017355623838810007621662823980647463763098155606491<53> 10395327046478743238964102039894911859668910640319250466420608598400842653599049839421102197288131997<101>``` ```Number: 79777_167 N=166505650129559984727681404813399596743934082865869218376988267562057562798812603483766979483208167052022177943256462823125210344844536834042641997992527 ( 153 digits) SNFS difficulty: 170 digits. Divisors found: r1=16017355623838810007621662823980647463763098155606491 r2=10395327046478743238964102039894911859668910640319250466420608598400842653599049839421102197288131997 Version: Total time: 24.16 hours. Scaled time: 126.07 units (timescale=5.219). Factorization parameters were as follows: n: 166505650129559984727681404813399596743934082865869218376988267562057562798812603483766979483208167052022177943256462823125210344844536834042641997992527 m: 2000000000000000000000000000000000 deg: 5 c5: 8975 c0: -28 skew: 0.32 # Murphy_E = 1.868e-10 type: snfs lss: 1 rlim: 5200000 alim: 5200000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5200000/5200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved rational special-q in [2600000, 5800001) Primes: rational ideals reading, algebraic ideals reading, Relations: 11238877 Max relations in full relation-set: Initial matrix: Pruned matrix : 968551 x 968799 Total sieving time: 22.06 hours. Total relation processing time: 0.89 hours. Matrix solve time: 0.98 hours. Time per square root: 0.23 hours. Prototype def-par.txt line would be: snfs,170,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000 total time: 24.16 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.. 6800.49 BogoMIPS (lpj=3400246) Total of 12 processors activated (81605.90 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)
403e62650300Serge BatalovJanuary 9, 2015 00:09:47 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 47 秒 (日本時間)
2350Ignacio SantosFebruary 14, 2015 10:10:32 UTC 2015 年 2 月 14 日 (土) 19 時 10 分 32 秒 (日本時間)

## 718×10175-79

### c108

name 名前 Cyp January 9, 2015 21:00:09 UTC 2015 年 1 月 10 日 (土) 6 時 0 分 9 秒 (日本時間) `542050423406874226925158143711927059804702756603215836462912233886957222167370008104187737160500102536413941<108>` ```1257753102672872237194854776938321463<37> 430967271919229434356110154330550148804525477930675284632718435693369907<72>``` ```01/09/15 20:42:55 v1.34.3, 01/09/15 20:42:55 v1.34.3, **************************** 01/09/15 20:42:55 v1.34.3, Starting factorization of 542050423406874226925158143711927059804702756603215836462912233886957222167370008104187737160500102536413941 01/09/15 20:42:55 v1.34.3, using pretesting plan: none 01/09/15 20:42:55 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 01/09/15 20:42:55 v1.34.3, **************************** 01/09/15 20:42:55 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C108 01/09/15 20:42:55 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C108 01/09/15 20:42:55 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C108 01/09/15 20:42:55 v1.34.3, final ECM pretested depth: 0.00 01/09/15 20:42:55 v1.34.3, scheduler: switching to sieve method 01/09/15 20:42:55 v1.34.3, nfs: commencing nfs on c108: 542050423406874226925158143711927059804702756603215836462912233886957222167370008104187737160500102536413941 01/09/15 20:42:55 v1.34.3, nfs: commencing poly selection with 8 threads 01/09/15 20:42:55 v1.34.3, nfs: setting deadline of 357 seconds 01/09/15 20:51:26 v1.34.3, nfs: completed 77 ranges of size 250 in 511.1018 seconds 01/09/15 20:51:26 v1.34.3, nfs: best poly = # norm 8.856812e-15 alpha -4.791974 e 3.793e-09 rroots 2 01/09/15 20:51:26 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 20:56:30 v1.34.3, nfs: commencing lattice sieving with 8 threads [6 lines snipped] 01/09/15 21:29:37 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 21:34:20 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 21:39:22 v1.34.3, nfs: commencing msieve filtering 01/09/15 21:40:04 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 21:45:05 v1.34.3, nfs: commencing msieve filtering 01/09/15 21:45:53 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 21:50:41 v1.34.3, nfs: commencing msieve filtering 01/09/15 21:51:50 v1.34.3, nfs: commencing msieve linear algebra 01/09/15 21:58:26 v1.34.3, nfs: commencing msieve sqrt 01/09/15 22:00:07 v1.34.3, prp37 = 1257753102672872237194854776938321463 01/09/15 22:00:07 v1.34.3, prp72 = 430967271919229434356110154330550148804525477930675284632718435693369907 01/09/15 22:00:07 v1.34.3, NFS elapsed time = 4631.8217 seconds. 01/09/15 22:00:07 v1.34.3, 01/09/15 22:00:07 v1.34.3, 01/09/15 22:00:07 v1.34.3, Total factoring time = 4631.8442 seconds -- Fri Jan 9 21:39:22 2015 Fri Jan 9 21:39:22 2015 commencing relation filtering Fri Jan 9 21:39:22 2015 estimated available RAM is 15987.3 MB Fri Jan 9 21:39:22 2015 commencing duplicate removal, pass 1 Fri Jan 9 21:39:36 2015 found 383548 hash collisions in 4500231 relations Fri Jan 9 21:39:40 2015 added 158780 free relations Fri Jan 9 21:39:40 2015 commencing duplicate removal, pass 2 Fri Jan 9 21:39:43 2015 found 140250 duplicates and 4518761 unique relations Fri Jan 9 21:39:43 2015 memory use: 19.6 MB Fri Jan 9 21:39:43 2015 reading ideals above 100000 Fri Jan 9 21:39:43 2015 commencing singleton removal, initial pass Fri Jan 9 21:40:02 2015 memory use: 172.2 MB Fri Jan 9 21:40:02 2015 reading all ideals from disk Fri Jan 9 21:40:02 2015 memory use: 150.1 MB Fri Jan 9 21:40:03 2015 keeping 5577884 ideals with weight <= 200, target excess is 37178 Fri Jan 9 21:40:03 2015 commencing in-memory singleton removal Fri Jan 9 21:40:03 2015 begin with 4518761 relations and 5577884 unique ideals Fri Jan 9 21:40:04 2015 reduce to 497 relations and 0 ideals in 25 passes Fri Jan 9 21:40:04 2015 max relations containing the same ideal: 0 Fri Jan 9 21:45:05 2015 Fri Jan 9 21:45:05 2015 commencing relation filtering Fri Jan 9 21:45:05 2015 estimated available RAM is 15987.3 MB Fri Jan 9 21:45:05 2015 commencing duplicate removal, pass 1 Fri Jan 9 21:45:21 2015 found 478994 hash collisions in 5131374 relations Fri Jan 9 21:45:24 2015 added 1368 free relations Fri Jan 9 21:45:24 2015 commencing duplicate removal, pass 2 Fri Jan 9 21:45:28 2015 found 168612 duplicates and 4964130 unique relations Fri Jan 9 21:45:28 2015 memory use: 20.6 MB Fri Jan 9 21:45:28 2015 reading ideals above 100000 Fri Jan 9 21:45:28 2015 commencing singleton removal, initial pass Fri Jan 9 21:45:49 2015 memory use: 172.2 MB Fri Jan 9 21:45:50 2015 reading all ideals from disk Fri Jan 9 21:45:50 2015 memory use: 165.0 MB Fri Jan 9 21:45:50 2015 keeping 5778699 ideals with weight <= 200, target excess is 41504 Fri Jan 9 21:45:50 2015 commencing in-memory singleton removal Fri Jan 9 21:45:50 2015 begin with 4964130 relations and 5778699 unique ideals Fri Jan 9 21:45:53 2015 reduce to 1377692 relations and 1448990 ideals in 32 passes Fri Jan 9 21:45:53 2015 max relations containing the same ideal: 88 Fri Jan 9 21:50:41 2015 Fri Jan 9 21:50:41 2015 commencing relation filtering Fri Jan 9 21:50:41 2015 estimated available RAM is 15987.3 MB Fri Jan 9 21:50:41 2015 commencing duplicate removal, pass 1 Fri Jan 9 21:51:00 2015 found 559300 hash collisions in 5587550 relations Fri Jan 9 21:51:03 2015 added 993 free relations Fri Jan 9 21:51:03 2015 commencing duplicate removal, pass 2 Fri Jan 9 21:51:08 2015 found 198441 duplicates and 5390102 unique relations Fri Jan 9 21:51:08 2015 memory use: 20.6 MB Fri Jan 9 21:51:08 2015 reading ideals above 100000 Fri Jan 9 21:51:08 2015 commencing singleton removal, initial pass Fri Jan 9 21:51:31 2015 memory use: 172.2 MB Fri Jan 9 21:51:32 2015 reading all ideals from disk Fri Jan 9 21:51:32 2015 memory use: 179.3 MB Fri Jan 9 21:51:32 2015 keeping 5949546 ideals with weight <= 200, target excess is 45842 Fri Jan 9 21:51:32 2015 commencing in-memory singleton removal Fri Jan 9 21:51:33 2015 begin with 5390102 relations and 5949546 unique ideals Fri Jan 9 21:51:35 2015 reduce to 2023126 relations and 1950148 ideals in 20 passes Fri Jan 9 21:51:35 2015 max relations containing the same ideal: 108 Fri Jan 9 21:51:35 2015 removing 146788 relations and 136887 ideals in 9901 cliques Fri Jan 9 21:51:35 2015 commencing in-memory singleton removal Fri Jan 9 21:51:35 2015 begin with 1876338 relations and 1950148 unique ideals Fri Jan 9 21:51:36 2015 reduce to 1866527 relations and 1803362 ideals in 10 passes Fri Jan 9 21:51:36 2015 max relations containing the same ideal: 104 Fri Jan 9 21:51:36 2015 removing 104983 relations and 95082 ideals in 9901 cliques Fri Jan 9 21:51:36 2015 commencing in-memory singleton removal Fri Jan 9 21:51:36 2015 begin with 1761544 relations and 1803362 unique ideals Fri Jan 9 21:51:37 2015 reduce to 1755689 relations and 1702393 ideals in 8 passes Fri Jan 9 21:51:37 2015 max relations containing the same ideal: 98 Fri Jan 9 21:51:37 2015 relations with 0 large ideals: 635 Fri Jan 9 21:51:37 2015 relations with 1 large ideals: 2352 Fri Jan 9 21:51:37 2015 relations with 2 large ideals: 19569 Fri Jan 9 21:51:37 2015 relations with 3 large ideals: 96595 Fri Jan 9 21:51:37 2015 relations with 4 large ideals: 276306 Fri Jan 9 21:51:37 2015 relations with 5 large ideals: 487325 Fri Jan 9 21:51:37 2015 relations with 6 large ideals: 469774 Fri Jan 9 21:51:37 2015 relations with 7+ large ideals: 403133 Fri Jan 9 21:51:37 2015 commencing 2-way merge Fri Jan 9 21:51:38 2015 reduce to 985251 relation sets and 931955 unique ideals Fri Jan 9 21:51:38 2015 commencing full merge Fri Jan 9 21:51:46 2015 memory use: 94.9 MB Fri Jan 9 21:51:46 2015 found 468714 cycles, need 464155 Fri Jan 9 21:51:46 2015 weight of 464155 cycles is about 32758601 (70.58/cycle) Fri Jan 9 21:51:46 2015 distribution of cycle lengths: Fri Jan 9 21:51:46 2015 1 relations: 54140 Fri Jan 9 21:51:46 2015 2 relations: 52905 Fri Jan 9 21:51:46 2015 3 relations: 52241 Fri Jan 9 21:51:46 2015 4 relations: 46436 Fri Jan 9 21:51:46 2015 5 relations: 41040 Fri Jan 9 21:51:46 2015 6 relations: 34150 Fri Jan 9 21:51:46 2015 7 relations: 30220 Fri Jan 9 21:51:46 2015 8 relations: 25266 Fri Jan 9 21:51:46 2015 9 relations: 21696 Fri Jan 9 21:51:46 2015 10+ relations: 106061 Fri Jan 9 21:51:46 2015 heaviest cycle: 27 relations Fri Jan 9 21:51:46 2015 commencing cycle optimization Fri Jan 9 21:51:47 2015 start with 3011585 relations Fri Jan 9 21:51:49 2015 pruned 62383 relations Fri Jan 9 21:51:49 2015 memory use: 100.3 MB Fri Jan 9 21:51:49 2015 distribution of cycle lengths: Fri Jan 9 21:51:49 2015 1 relations: 54140 Fri Jan 9 21:51:49 2015 2 relations: 54014 Fri Jan 9 21:51:49 2015 3 relations: 53920 Fri Jan 9 21:51:49 2015 4 relations: 47295 Fri Jan 9 21:51:49 2015 5 relations: 41750 Fri Jan 9 21:51:49 2015 6 relations: 34489 Fri Jan 9 21:51:49 2015 7 relations: 30271 Fri Jan 9 21:51:49 2015 8 relations: 25246 Fri Jan 9 21:51:49 2015 9 relations: 21454 Fri Jan 9 21:51:49 2015 10+ relations: 101576 Fri Jan 9 21:51:49 2015 heaviest cycle: 27 relations Fri Jan 9 21:51:50 2015 RelProcTime: 69 Fri Jan 9 21:51:50 2015 Fri Jan 9 21:51:50 2015 commencing linear algebra Fri Jan 9 21:51:50 2015 read 464155 cycles Fri Jan 9 21:51:50 2015 cycles contain 1686622 unique relations Fri Jan 9 21:51:58 2015 read 1686622 relations Fri Jan 9 21:51:59 2015 using 20 quadratic characters above 67107942 Fri Jan 9 21:52:04 2015 building initial matrix Fri Jan 9 21:52:13 2015 memory use: 207.9 MB Fri Jan 9 21:52:14 2015 read 464155 cycles Fri Jan 9 21:52:14 2015 matrix is 463972 x 464155 (140.1 MB) with weight 44266661 (95.37/col) Fri Jan 9 21:52:14 2015 sparse part has weight 31627376 (68.14/col) Fri Jan 9 21:52:16 2015 filtering completed in 2 passes Fri Jan 9 21:52:16 2015 matrix is 462744 x 462927 (140.0 MB) with weight 44211384 (95.50/col) Fri Jan 9 21:52:16 2015 sparse part has weight 31608934 (68.28/col) Fri Jan 9 21:52:17 2015 matrix starts at (0, 0) Fri Jan 9 21:52:17 2015 matrix is 462744 x 462927 (140.0 MB) with weight 44211384 (95.50/col) Fri Jan 9 21:52:17 2015 sparse part has weight 31608934 (68.28/col) Fri Jan 9 21:52:17 2015 saving the first 48 matrix rows for later Fri Jan 9 21:52:17 2015 matrix includes 64 packed rows Fri Jan 9 21:52:17 2015 matrix is 462696 x 462927 (134.8 MB) with weight 34960913 (75.52/col) Fri Jan 9 21:52:17 2015 sparse part has weight 30703438 (66.32/col) Fri Jan 9 21:52:17 2015 using block size 65536 for processor cache size 8192 kB Fri Jan 9 21:52:18 2015 commencing Lanczos iteration (8 threads) Fri Jan 9 21:52:18 2015 memory use: 128.8 MB Fri Jan 9 21:52:28 2015 linear algebra at 2.6%, ETA 0h 6m Fri Jan 9 21:58:26 2015 lanczos halted after 7318 iterations (dim = 462694) Fri Jan 9 21:58:26 2015 recovered 32 nontrivial dependencies Fri Jan 9 21:58:26 2015 BLanczosTime: 396 Fri Jan 9 21:58:26 2015 Fri Jan 9 21:58:26 2015 commencing square root phase Fri Jan 9 21:58:26 2015 reading relations for dependency 1 Fri Jan 9 21:58:26 2015 read 231802 cycles Fri Jan 9 21:58:27 2015 cycles contain 844342 unique relations Fri Jan 9 21:58:32 2015 read 844342 relations Fri Jan 9 21:58:34 2015 multiplying 844342 relations Fri Jan 9 21:58:52 2015 multiply complete, coefficients have about 35.67 million bits Fri Jan 9 21:58:52 2015 initial square root is modulo 132421 Fri Jan 9 21:59:16 2015 GCD is 1, no factor found Fri Jan 9 21:59:16 2015 reading relations for dependency 2 Fri Jan 9 21:59:16 2015 read 231389 cycles Fri Jan 9 21:59:17 2015 cycles contain 842314 unique relations Fri Jan 9 21:59:22 2015 read 842314 relations Fri Jan 9 21:59:24 2015 multiplying 842314 relations Fri Jan 9 21:59:42 2015 multiply complete, coefficients have about 35.59 million bits Fri Jan 9 21:59:42 2015 initial square root is modulo 128837 Fri Jan 9 22:00:07 2015 sqrtTime: 101 -- n: 542050423406874226925158143711927059804702756603215836462912233886957222167370008104187737160500102536413941 skew: 7595404.57 c0: 340531965268416104141193493285 c1: -279492474652071222984279 c2: -60031686242062657 c3: 750931215 c4: 756 Y0: -163636210082508814894096416 Y1: 92125917293125 rlim: 2920000 alim: 2920000 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)

## 718×10178-79

### c109

name 名前 Cyp January 10, 2015 04:30:24 UTC 2015 年 1 月 10 日 (土) 13 時 30 分 24 秒 (日本時間) `1712341567978878878806280870753725485164160154045246660487233119595824897048583610826266661557832224240248507<109>` ```716299654405000102699456550172215746424879073180653<51> 2390538034534232414012808854289978920878088870678203803719<58>``` ```01/10/15 04:06:54 v1.34.3, 01/10/15 04:06:54 v1.34.3, **************************** 01/10/15 04:06:54 v1.34.3, Starting factorization of 1712341567978878878806280870753725485164160154045246660487233119595824897048583610826266661557832224240248507 01/10/15 04:06:54 v1.34.3, using pretesting plan: none 01/10/15 04:06:54 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 01/10/15 04:06:54 v1.34.3, **************************** 01/10/15 04:06:54 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C109 01/10/15 04:06:54 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C109 01/10/15 04:06:54 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C109 01/10/15 04:06:54 v1.34.3, final ECM pretested depth: 0.00 01/10/15 04:06:54 v1.34.3, scheduler: switching to sieve method 01/10/15 04:06:54 v1.34.3, nfs: commencing nfs on c109: 1712341567978878878806280870753725485164160154045246660487233119595824897048583610826266661557832224240248507 01/10/15 04:06:54 v1.34.3, nfs: commencing poly selection with 8 threads 01/10/15 04:06:54 v1.34.3, nfs: setting deadline of 383 seconds 01/10/15 04:14:17 v1.34.3, nfs: completed 81 ranges of size 250 in 443.1351 seconds 01/10/15 04:14:17 v1.34.3, nfs: best poly = # norm 7.204322e-15 alpha -5.479216 e 3.412e-09 rroots 2 01/10/15 04:14:17 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/10/15 04:19:19 v1.34.3, nfs: commencing lattice sieving with 8 threads [6 lines snipped] 01/10/15 04:55:29 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/10/15 05:00:39 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/10/15 05:05:58 v1.34.3, nfs: commencing msieve filtering 01/10/15 05:06:37 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/10/15 05:11:48 v1.34.3, nfs: commencing msieve filtering 01/10/15 05:12:36 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/10/15 05:17:55 v1.34.3, nfs: commencing msieve filtering 01/10/15 05:18:44 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/10/15 05:24:20 v1.34.3, nfs: commencing msieve filtering 01/10/15 05:25:28 v1.34.3, nfs: commencing msieve linear algebra 01/10/15 05:29:43 v1.34.3, nfs: commencing msieve sqrt 01/10/15 05:30:23 v1.34.3, prp51 = 716299654405000102699456550172215746424879073180653 01/10/15 05:30:23 v1.34.3, prp58 = 2390538034534232414012808854289978920878088870678203803719 01/10/15 05:30:23 v1.34.3, NFS elapsed time = 5009.2345 seconds. 01/10/15 05:30:23 v1.34.3, 01/10/15 05:30:23 v1.34.3, 01/10/15 05:30:23 v1.34.3, Total factoring time = 5009.2567 seconds -- Sat Jan 10 05:05:58 2015 Sat Jan 10 05:05:58 2015 commencing relation filtering Sat Jan 10 05:05:58 2015 estimated available RAM is 15987.3 MB Sat Jan 10 05:05:58 2015 commencing duplicate removal, pass 1 Sat Jan 10 05:06:11 2015 found 386432 hash collisions in 4477749 relations Sat Jan 10 05:06:14 2015 added 160473 free relations Sat Jan 10 05:06:14 2015 commencing duplicate removal, pass 2 Sat Jan 10 05:06:18 2015 found 148549 duplicates and 4489673 unique relations Sat Jan 10 05:06:18 2015 memory use: 19.6 MB Sat Jan 10 05:06:18 2015 reading ideals above 100000 Sat Jan 10 05:06:18 2015 commencing singleton removal, initial pass Sat Jan 10 05:06:36 2015 memory use: 172.2 MB Sat Jan 10 05:06:36 2015 reading all ideals from disk Sat Jan 10 05:06:36 2015 memory use: 149.5 MB Sat Jan 10 05:06:37 2015 keeping 5596567 ideals with weight <= 200, target excess is 25086 Sat Jan 10 05:06:37 2015 commencing in-memory singleton removal Sat Jan 10 05:06:37 2015 begin with 4489673 relations and 5596567 unique ideals Sat Jan 10 05:06:37 2015 reduce to 408 relations and 0 ideals in 21 passes Sat Jan 10 05:06:37 2015 max relations containing the same ideal: 0 Sat Jan 10 05:11:48 2015 Sat Jan 10 05:11:48 2015 commencing relation filtering Sat Jan 10 05:11:48 2015 estimated available RAM is 15987.3 MB Sat Jan 10 05:11:48 2015 commencing duplicate removal, pass 1 Sat Jan 10 05:12:05 2015 found 480209 hash collisions in 5095496 relations Sat Jan 10 05:12:09 2015 added 1319 free relations Sat Jan 10 05:12:09 2015 commencing duplicate removal, pass 2 Sat Jan 10 05:12:12 2015 found 177876 duplicates and 4918939 unique relations Sat Jan 10 05:12:12 2015 memory use: 20.6 MB Sat Jan 10 05:12:12 2015 reading ideals above 100000 Sat Jan 10 05:12:12 2015 commencing singleton removal, initial pass Sat Jan 10 05:12:33 2015 memory use: 172.2 MB Sat Jan 10 05:12:33 2015 reading all ideals from disk Sat Jan 10 05:12:33 2015 memory use: 164.0 MB Sat Jan 10 05:12:33 2015 keeping 5792492 ideals with weight <= 200, target excess is 27845 Sat Jan 10 05:12:34 2015 commencing in-memory singleton removal Sat Jan 10 05:12:34 2015 begin with 4918939 relations and 5792492 unique ideals Sat Jan 10 05:12:35 2015 reduce to 1281702 relations and 1392216 ideals in 30 passes Sat Jan 10 05:12:35 2015 max relations containing the same ideal: 82 Sat Jan 10 05:17:55 2015 Sat Jan 10 05:17:55 2015 commencing relation filtering Sat Jan 10 05:17:55 2015 estimated available RAM is 15987.3 MB Sat Jan 10 05:17:55 2015 commencing duplicate removal, pass 1 Sat Jan 10 05:18:11 2015 found 565305 hash collisions in 5572853 relations Sat Jan 10 05:18:15 2015 added 974 free relations Sat Jan 10 05:18:15 2015 commencing duplicate removal, pass 2 Sat Jan 10 05:18:19 2015 found 210991 duplicates and 5362836 unique relations Sat Jan 10 05:18:19 2015 memory use: 20.6 MB Sat Jan 10 05:18:19 2015 reading ideals above 100000 Sat Jan 10 05:18:19 2015 commencing singleton removal, initial pass Sat Jan 10 05:18:41 2015 memory use: 172.2 MB Sat Jan 10 05:18:42 2015 reading all ideals from disk Sat Jan 10 05:18:42 2015 memory use: 178.9 MB Sat Jan 10 05:18:42 2015 keeping 5971948 ideals with weight <= 200, target excess is 31059 Sat Jan 10 05:18:42 2015 commencing in-memory singleton removal Sat Jan 10 05:18:42 2015 begin with 5362836 relations and 5971948 unique ideals Sat Jan 10 05:18:44 2015 reduce to 1966861 relations and 1934163 ideals in 20 passes Sat Jan 10 05:18:44 2015 max relations containing the same ideal: 103 Sat Jan 10 05:24:20 2015 Sat Jan 10 05:24:20 2015 commencing relation filtering Sat Jan 10 05:24:20 2015 estimated available RAM is 15987.3 MB Sat Jan 10 05:24:20 2015 commencing duplicate removal, pass 1 Sat Jan 10 05:24:38 2015 found 653906 hash collisions in 6041616 relations Sat Jan 10 05:24:42 2015 added 705 free relations Sat Jan 10 05:24:42 2015 commencing duplicate removal, pass 2 Sat Jan 10 05:24:46 2015 found 245580 duplicates and 5796741 unique relations Sat Jan 10 05:24:46 2015 memory use: 20.6 MB Sat Jan 10 05:24:46 2015 reading ideals above 100000 Sat Jan 10 05:24:46 2015 commencing singleton removal, initial pass Sat Jan 10 05:25:12 2015 memory use: 172.2 MB Sat Jan 10 05:25:12 2015 reading all ideals from disk Sat Jan 10 05:25:12 2015 memory use: 193.5 MB Sat Jan 10 05:25:13 2015 keeping 6129522 ideals with weight <= 200, target excess is 34329 Sat Jan 10 05:25:13 2015 commencing in-memory singleton removal Sat Jan 10 05:25:13 2015 begin with 5796741 relations and 6129522 unique ideals Sat Jan 10 05:25:15 2015 reduce to 2592654 relations and 2379609 ideals in 17 passes Sat Jan 10 05:25:15 2015 max relations containing the same ideal: 115 Sat Jan 10 05:25:16 2015 removing 544921 relations and 458309 ideals in 86612 cliques Sat Jan 10 05:25:16 2015 commencing in-memory singleton removal Sat Jan 10 05:25:16 2015 begin with 2047733 relations and 2379609 unique ideals Sat Jan 10 05:25:16 2015 reduce to 1949272 relations and 1818507 ideals in 9 passes Sat Jan 10 05:25:16 2015 max relations containing the same ideal: 97 Sat Jan 10 05:25:17 2015 removing 416524 relations and 329912 ideals in 86612 cliques Sat Jan 10 05:25:17 2015 commencing in-memory singleton removal Sat Jan 10 05:25:17 2015 begin with 1532748 relations and 1818507 unique ideals Sat Jan 10 05:25:17 2015 reduce to 1455465 relations and 1407752 ideals in 10 passes Sat Jan 10 05:25:17 2015 max relations containing the same ideal: 79 Sat Jan 10 05:25:18 2015 relations with 0 large ideals: 554 Sat Jan 10 05:25:18 2015 relations with 1 large ideals: 769 Sat Jan 10 05:25:18 2015 relations with 2 large ideals: 7437 Sat Jan 10 05:25:18 2015 relations with 3 large ideals: 44244 Sat Jan 10 05:25:18 2015 relations with 4 large ideals: 154572 Sat Jan 10 05:25:18 2015 relations with 5 large ideals: 337793 Sat Jan 10 05:25:18 2015 relations with 6 large ideals: 414369 Sat Jan 10 05:25:18 2015 relations with 7+ large ideals: 495727 Sat Jan 10 05:25:18 2015 commencing 2-way merge Sat Jan 10 05:25:18 2015 reduce to 847068 relation sets and 799355 unique ideals Sat Jan 10 05:25:18 2015 commencing full merge Sat Jan 10 05:25:25 2015 memory use: 86.9 MB Sat Jan 10 05:25:25 2015 found 409363 cycles, need 397555 Sat Jan 10 05:25:25 2015 weight of 397555 cycles is about 27947312 (70.30/cycle) Sat Jan 10 05:25:25 2015 distribution of cycle lengths: Sat Jan 10 05:25:25 2015 1 relations: 40206 Sat Jan 10 05:25:25 2015 2 relations: 41656 Sat Jan 10 05:25:25 2015 3 relations: 42561 Sat Jan 10 05:25:25 2015 4 relations: 39679 Sat Jan 10 05:25:25 2015 5 relations: 37115 Sat Jan 10 05:25:25 2015 6 relations: 33212 Sat Jan 10 05:25:25 2015 7 relations: 29322 Sat Jan 10 05:25:25 2015 8 relations: 26150 Sat Jan 10 05:25:25 2015 9 relations: 22474 Sat Jan 10 05:25:25 2015 10+ relations: 85180 Sat Jan 10 05:25:25 2015 heaviest cycle: 22 relations Sat Jan 10 05:25:25 2015 commencing cycle optimization Sat Jan 10 05:25:26 2015 start with 2484799 relations Sat Jan 10 05:25:28 2015 pruned 58839 relations Sat Jan 10 05:25:28 2015 memory use: 82.0 MB Sat Jan 10 05:25:28 2015 distribution of cycle lengths: Sat Jan 10 05:25:28 2015 1 relations: 40206 Sat Jan 10 05:25:28 2015 2 relations: 42572 Sat Jan 10 05:25:28 2015 3 relations: 44016 Sat Jan 10 05:25:28 2015 4 relations: 40714 Sat Jan 10 05:25:28 2015 5 relations: 37972 Sat Jan 10 05:25:28 2015 6 relations: 33790 Sat Jan 10 05:25:28 2015 7 relations: 29885 Sat Jan 10 05:25:28 2015 8 relations: 26259 Sat Jan 10 05:25:28 2015 9 relations: 22372 Sat Jan 10 05:25:28 2015 10+ relations: 79769 Sat Jan 10 05:25:28 2015 heaviest cycle: 22 relations Sat Jan 10 05:25:28 2015 RelProcTime: 68 Sat Jan 10 05:25:28 2015 Sat Jan 10 05:25:28 2015 commencing linear algebra Sat Jan 10 05:25:28 2015 read 397555 cycles Sat Jan 10 05:25:28 2015 cycles contain 1363843 unique relations Sat Jan 10 05:25:35 2015 read 1363843 relations Sat Jan 10 05:25:36 2015 using 20 quadratic characters above 67107320 Sat Jan 10 05:25:40 2015 building initial matrix Sat Jan 10 05:25:47 2015 memory use: 170.8 MB Sat Jan 10 05:25:47 2015 read 397555 cycles Sat Jan 10 05:25:47 2015 matrix is 397365 x 397555 (118.8 MB) with weight 37484306 (94.29/col) Sat Jan 10 05:25:47 2015 sparse part has weight 26777079 (67.35/col) Sat Jan 10 05:25:49 2015 filtering completed in 2 passes Sat Jan 10 05:25:49 2015 matrix is 396033 x 396222 (118.7 MB) with weight 37420733 (94.44/col) Sat Jan 10 05:25:49 2015 sparse part has weight 26751010 (67.52/col) Sat Jan 10 05:25:49 2015 matrix starts at (0, 0) Sat Jan 10 05:25:49 2015 matrix is 396033 x 396222 (118.7 MB) with weight 37420733 (94.44/col) Sat Jan 10 05:25:49 2015 sparse part has weight 26751010 (67.52/col) Sat Jan 10 05:25:49 2015 saving the first 48 matrix rows for later Sat Jan 10 05:25:49 2015 matrix includes 64 packed rows Sat Jan 10 05:25:49 2015 matrix is 395985 x 396222 (114.3 MB) with weight 29626279 (74.77/col) Sat Jan 10 05:25:49 2015 sparse part has weight 26003496 (65.63/col) Sat Jan 10 05:25:49 2015 using block size 65536 for processor cache size 8192 kB Sat Jan 10 05:25:50 2015 commencing Lanczos iteration (8 threads) Sat Jan 10 05:25:50 2015 memory use: 108.4 MB Sat Jan 10 05:25:58 2015 linear algebra at 3.1%, ETA 0h 4m Sat Jan 10 05:29:43 2015 lanczos halted after 6265 iterations (dim = 395985) Sat Jan 10 05:29:43 2015 recovered 33 nontrivial dependencies Sat Jan 10 05:29:43 2015 BLanczosTime: 255 Sat Jan 10 05:29:43 2015 Sat Jan 10 05:29:43 2015 commencing square root phase Sat Jan 10 05:29:43 2015 reading relations for dependency 1 Sat Jan 10 05:29:43 2015 read 197679 cycles Sat Jan 10 05:29:44 2015 cycles contain 681200 unique relations Sat Jan 10 05:29:49 2015 read 681200 relations Sat Jan 10 05:29:50 2015 multiplying 681200 relations Sat Jan 10 05:30:05 2015 multiply complete, coefficients have about 29.21 million bits Sat Jan 10 05:30:05 2015 initial square root is modulo 244885919 Sat Jan 10 05:30:23 2015 sqrtTime: 40 -- n: 1712341567978878878806280870753725485164160154045246660487233119595824897048583610826266661557832224240248507 skew: 10676493.60 c0: -2871375400643362118155855286400 c1: -1321561981952577615235582 c2: -35103689112311413 c3: 1474520310 c4: 1008 Y0: -203017014820242332797608881 Y1: 37418176948109 rlim: 3060000 alim: 3060000 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
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 9, 2015 22:46:17 UTC 2015 年 1 月 10 日 (土) 7 時 46 分 17 秒 (日本時間)
403e6110 / 2126Ignacio SantosJanuary 9, 2015 22:46:17 UTC 2015 年 1 月 10 日 (土) 7 時 46 分 17 秒 (日本時間)
4511e632 / 4437Ignacio SantosJanuary 9, 2015 22:46:17 UTC 2015 年 1 月 10 日 (土) 7 時 46 分 17 秒 (日本時間)

## 718×10181-79

### c177

name 名前 Jo Yeong Uk February 26, 2016 02:51:34 UTC 2016 年 2 月 26 日 (金) 11 時 51 分 34 秒 (日本時間) `382066683833061124124259792361124746847564066809308442806346840667709953491629200984156950439512378614674095788374647353249011535487157105128627963950145938298571916683282310403<177>` ```135164097328695176058166887095627151841204985020080224407054035734992676482621<78> 2826687644012022891805972415730192279369102191905141395878165803865315661198854517469904439518663743<100>``` ```Number: 79777_181 N=382066683833061124124259792361124746847564066809308442806346840667709953491629200984156950439512378614674095788374647353249011535487157105128627963950145938298571916683282310403 ( 177 digits) SNFS difficulty: 183 digits. Divisors found: r1=135164097328695176058166887095627151841204985020080224407054035734992676482621 r2=2826687644012022891805972415730192279369102191905141395878165803865315661198854517469904439518663743 Version: Total time: 93.97 hours. Scaled time: 489.48 units (timescale=5.209). Factorization parameters were as follows: n: 382066683833061124124259792361124746847564066809308442806346840667709953491629200984156950439512378614674095788374647353249011535487157105128627963950145938298571916683282310403 m: 1000000000000000000000000000000000000 deg: 5 c5: 7180 c0: -7 skew: 0.25 # Murphy_E = 4.609e-11 type: snfs lss: 1 rlim: 6600000 alim: 6600000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 6600000/6600000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [3300000, 7800001) Primes: rational ideals reading, algebraic ideals reading, Relations: 19224545 Max relations in full relation-set: Initial matrix: Pruned matrix : 1588395 x 1588643 Total sieving time: 87.82 hours. Total relation processing time: 2.50 hours. Matrix solve time: 3.23 hours. Time per square root: 0.41 hours. Prototype def-par.txt line would be: snfs,183,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,53,53,2.5,2.5,100000 total time: 93.97 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49365468k/51380224k available (5396k kernel code, 1086460k absent, 928296k reserved, 7012k data, 1296k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400121) Total of 12 processors activated (81602.90 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 00:09:48 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 48 秒 (日本時間)
4511e6600 / 4409KTakahashiMay 24, 2015 07:00:16 UTC 2015 年 5 月 24 日 (日) 16 時 0 分 16 秒 (日本時間)

## 718×10182-79

### c160

name 名前 Jo Yeong Uk April 4, 2016 01:55:00 UTC 2016 年 4 月 4 日 (月) 10 時 55 分 0 秒 (日本時間) `3250376164997411749214850778112053960808684912131282176690810414245785711781679362510777833074048121690844083590566396586088589624075474692408315255364807285093<160>` ```134267473248173308165051874419528006126864502537813<51> 24208217272321632090033025833574191711343341607402170362594442455688481267908783807066057265762135586564644561<110>``` ```Number: 79777_182 N=3250376164997411749214850778112053960808684912131282176690810414245785711781679362510777833074048121690844083590566396586088589624075474692408315255364807285093 ( 160 digits) SNFS difficulty: 185 digits. Divisors found: r1=134267473248173308165051874419528006126864502537813 r2=24208217272321632090033025833574191711343341607402170362594442455688481267908783807066057265762135586564644561 Version: Total time: 81.40 hours. Scaled time: 426.85 units (timescale=5.244). Factorization parameters were as follows: n: 3250376164997411749214850778112053960808684912131282176690810414245785711781679362510777833074048121690844083590566396586088589624075474692408315255364807285093 m: 2000000000000000000000000000000000000 deg: 5 c5: 8975 c0: -28 skew: 0.32 # Murphy_E = 4.68e-11 type: snfs lss: 1 rlim: 7000000 alim: 7000000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 7000000/7000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved rational special-q in [3500000, 7200001) Primes: rational ideals reading, algebraic ideals reading, Relations: 20272070 Max relations in full relation-set: Initial matrix: Pruned matrix : 1665506 x 1665754 Total sieving time: 74.89 hours. Total relation processing time: 1.97 hours. Matrix solve time: 3.52 hours. Time per square root: 1.01 hours. Prototype def-par.txt line would be: snfs,185,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,54,54,2.5,2.5,100000 total time: 81.40 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49365468k/51380224k available (5397k kernel code, 1086460k absent, 928296k reserved, 7011k data, 1296k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.82 BogoMIPS (lpj=3399914) Total of 12 processors activated (81597.93 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 00:09:48 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 48 秒 (日本時間)
4511e6585 / 4409CypJanuary 31, 2015 05:35:50 UTC 2015 年 1 月 31 日 (土) 14 時 35 分 50 秒 (日本時間)

## 718×10183-79

### c152

name 名前 Jo Yeong Uk May 10, 2016 10:11:26 UTC 2016 年 5 月 10 日 (火) 19 時 11 分 26 秒 (日本時間) `49483048620275474672583840797502541268470712017561663165637526392907197857927051022275349699059695565234852001968686603402811400015642775614973229790177<152>` ```4671665932859480378441495633486194074847757<43> 10592163337755487033085999195530681103474149761333170136638775701356290462789337602990656893813512849253761061<110>``` ```GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM] Input number is 49483048620275474672583840797502541268470712017561663165637526392907197857927051022275349699059695565234852001968686603402811400015642775614973229790177 (152 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1111633515 Step 1 took 24441ms Step 2 took 8887ms ********** Factor found in step 2: 4671665932859480378441495633486194074847757 Found probable prime factor of 43 digits: 4671665932859480378441495633486194074847757 Probable prime cofactor 10592163337755487033085999195530681103474149761333170136638775701356290462789337602990656893813512849253761061 has 110 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)
403e6301300Serge BatalovJanuary 9, 2015 00:09:49 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 49 秒 (日本時間)
1CypJanuary 9, 2015 00:21:28 UTC 2015 年 1 月 9 日 (金) 9 時 21 分 28 秒 (日本時間)
4511e61185 / 4409600KTakahashiMay 29, 2015 10:55:19 UTC 2015 年 5 月 29 日 (金) 19 時 55 分 19 秒 (日本時間)
585CypMay 29, 2015 20:34:21 UTC 2015 年 5 月 30 日 (土) 5 時 34 分 21 秒 (日本時間)

## 718×10184-79

### c175

name 名前 Jo Yeong Uk July 24, 2016 06:04:16 UTC 2016 年 7 月 24 日 (日) 15 時 4 分 16 秒 (日本時間) `2708025522760705803443190350963139708719805741148629005660879377511648061884373100119986416512582840027461356383576843986740316419049107405429627531659170461334180648700380759<175>` ```38384177198352177056958957458090268338625442628170680397<56> 70550568500318424146463239226128748174691082332485003780463622553559099034946218958924493855206142332558304983740439347<119>``` ```Number: 79777_184 N=2708025522760705803443190350963139708719805741148629005660879377511648061884373100119986416512582840027461356383576843986740316419049107405429627531659170461334180648700380759 ( 175 digits) SNFS difficulty: 187 digits. Divisors found: r1=38384177198352177056958957458090268338625442628170680397 r2=70550568500318424146463239226128748174691082332485003780463622553559099034946218958924493855206142332558304983740439347 Version: Total time: 105.69 hours. Scaled time: 549.19 units (timescale=5.196). Factorization parameters were as follows: n: 2708025522760705803443190350963139708719805741148629005660879377511648061884373100119986416512582840027461356383576843986740316419049107405429627531659170461334180648700380759 m: 10000000000000000000000000000000000000 deg: 5 c5: 359 c0: -35 skew: 0.63 # Murphy_E = 3.662e-11 type: snfs lss: 1 rlim: 7800000 alim: 7800000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 7800000/7800000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved rational special-q in [3900000, 8700001) Primes: rational ideals reading, algebraic ideals reading, Relations: 21236276 Max relations in full relation-set: Initial matrix: Pruned matrix : 1769862 x 1770110 Total sieving time: 98.06 hours. Total relation processing time: 2.71 hours. Matrix solve time: 4.50 hours. Time per square root: 0.43 hours. Prototype def-par.txt line would be: snfs,187,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,54,54,2.5,2.5,100000 total time: 105.69 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 00:09:49 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 49 秒 (日本時間)
1CypJanuary 9, 2015 00:10:49 UTC 2015 年 1 月 9 日 (金) 9 時 10 分 49 秒 (日本時間)
4511e6600 / 4409KTakahashiJune 3, 2015 14:04:51 UTC 2015 年 6 月 3 日 (水) 23 時 4 分 51 秒 (日本時間)

## 718×10185-79

### c145

name 名前 Cyp May 26, 2015 06:46:02 UTC 2015 年 5 月 26 日 (火) 15 時 46 分 2 秒 (日本時間) `8312058424085699833697603520287208844086011506540261980515568887378888490222384497292300627886335837546969087288276373177194538837450463635993301<145>` `180308079576661736697692642162986855760119<42>` `46099201120666669933729052304323840073320416645620577481166972968299656783570699611784896968576396428179<104>` ```Run 345 out of 585: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4067545781 Step 1 took 42492ms Step 2 took 15247ms ********** Factor found in step 2: 180308079576661736697692642162986855760119 Found probable prime factor of 42 digits: 180308079576661736697692642162986855760119 Composite cofactor 46099201120666669933729052304323840073320416645620577481166972968299656783570699611784896968576396428179 has 104 digits``` `GMP-ECM 6.4.4` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### c104

name 名前 KTakahashi May 27, 2015 10:03:40 UTC 2015 年 5 月 27 日 (水) 19 時 3 分 40 秒 (日本時間) `46099201120666669933729052304323840073320416645620577481166972968299656783570699611784896968576396428179<104>` ```259392253810603596131421911855864874300124635603661<51> 177720037678250045066410551819978317506378890557161439<54>``` ```Number: 79777_185 N=46099201120666669933729052304323840073320416645620577481166972968299656783570699611784896968576396428179 ( 104 digits) Divisors found: r1=259392253810603596131421911855864874300124635603661 (pp51) r2=177720037678250045066410551819978317506378890557161439 (pp54) Version: Msieve v. 1.51 (SVN Official Release) Total time: 11.40 hours. Scaled time: 18.99 units (timescale=1.665). Factorization parameters were as follows: name: 79777_185 n: 46099201120666669933729052304323840073320416645620577481166972968299656783570699611784896968576396428179 skew: 10880.20 # norm 3.04e+014 c5: 75600 c4: 2055513732 c3: -33692138859877 c2: -233170120368392182 c1: 1769870233924122474958 c0: 2475414532931140851217576 # alpha -5.98 Y1: 6204026807 Y0: -57152346303470014737 # Murphy_E 1.99e-009 # M 15064233329516122143365162758777307775915710486838208848082063255136400310877168461936338718080568504234 type: gnfs rlim: 2300000 alim: 2300000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 2300000/2300000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved algebraic special-q in [1150000, 2050001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 262929 x 263156 Polynomial selection time: 0.67 hours. Total sieving time: 10.40 hours. Total relation processing time: 0.04 hours. Matrix solve time: 0.28 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000 total time: 11.40 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
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 00:09:50 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 50 秒 (日本時間)
4511e6585 / 4409CypMay 26, 2015 06:46:02 UTC 2015 年 5 月 26 日 (火) 15 時 46 分 2 秒 (日本時間)

## 718×10186-79

### c169

name 名前 Jo Yeong Uk November 23, 2016 03:27:38 UTC 2016 年 11 月 23 日 (水) 12 時 27 分 38 秒 (日本時間) `1585770100468069109156069589045492143547202226415895323585307628145340928430003023062237645949090514968205310159082194456096368028809371788887409707798567634835446490833<169>` ```7548625637983336878354380311890321728702698877<46> 1676374589133872314426136061797195838597495236477<49> 125314483421196687994622836983906572162677914509649945742680568468199901577<75>``` ```GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM] Input number is 1585770100468069109156069589045492143547202226415895323585307628145340928430003023062237645949090514968205310159082194456096368028809371788887409707798567634835446490833 (169 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=817435384 Step 1 took 29949ms Step 2 took 10110ms ********** Factor found in step 2: 1676374589133872314426136061797195838597495236477 Found probable prime factor of 49 digits: 1676374589133872314426136061797195838597495236477 Composite cofactor 945952122363883141155691361318139642141988606108585875521996221802602971392529173080414560944149266300790246105668429029 has 120 digits GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM] Input number is 945952122363883141155691361318139642141988606108585875521996221802602971392529173080414560944149266300790246105668429029 (120 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=730860867 Step 1 took 19909ms Step 2 took 7529ms ********** Factor found in step 2: 7548625637983336878354380311890321728702698877 Found probable prime factor of 46 digits: 7548625637983336878354380311890321728702698877 Probable prime cofactor 125314483421196687994622836983906572162677914509649945742680568468199901577 has 75 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)
403e6301300Serge BatalovJanuary 9, 2015 00:09:51 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 51 秒 (日本時間)
1CypJanuary 9, 2015 01:02:16 UTC 2015 年 1 月 9 日 (金) 10 時 2 分 16 秒 (日本時間)
4511e6585 / 4409CypJune 18, 2015 17:18:15 UTC 2015 年 6 月 19 日 (金) 2 時 18 分 15 秒 (日本時間)

## 718×10187-79

### c175

name 名前 Jo Yeong Uk July 11, 2017 13:40:48 UTC 2017 年 7 月 11 日 (火) 22 時 40 分 48 秒 (日本時間) `1111143698932465384059040779769470975122977343822454140425627421765866793759956705264798039214045808952053598934975799515177612309584144785588809140333032439333949163701896097<175>` ```608929734248693239046532709503122242575063983334277<51> 1824748630978599472653188979058970220034359054795961588720514960211608625319125696778210102956499379651704377988997514007661<124>``` ```GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM] Input number is 1111143698932465384059040779769470975122977343822454140425627421765866793759956705264798039214045808952053598934975799515177612309584144785588809140333032439333949163701896097 (175 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2025484326 Step 1 took 36374ms Step 2 took 11123ms ********** Factor found in step 2: 608929734248693239046532709503122242575063983334277 Found probable prime factor of 51 digits: 608929734248693239046532709503122242575063983334277 Probable prime cofactor 1824748630978599472653188979058970220034359054795961588720514960211608625319125696778210102956499379651704377988997514007661 has 124 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)
403e6302300Serge BatalovJanuary 9, 2015 00:09:51 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 51 秒 (日本時間)
1CypJanuary 9, 2015 00:56:41 UTC 2015 年 1 月 9 日 (金) 9 時 56 分 41 秒 (日本時間)
1CypJanuary 9, 2015 07:18:40 UTC 2015 年 1 月 9 日 (金) 16 時 18 分 40 秒 (日本時間)
4511e6585 / 4408CypJune 13, 2015 00:02:31 UTC 2015 年 6 月 13 日 (土) 9 時 2 分 31 秒 (日本時間)

## 718×10188-79

### c141

name 名前 Cyp May 10, 2015 15:23:25 UTC 2015 年 5 月 11 日 (月) 0 時 23 分 25 秒 (日本時間) `178081369854338703089802283530732608833297841275192869275393062447323564572615966983384263406262415374867132437290231641038759883584110448867<141>` ```147301249284122216250373549606679514029843<42> 1208960349758108358997701224526017692990732249305905944754309952837768494741024900714001688697417969<100>``` ```Run 212 out of 585: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3285503755 Step 1 took 42372ms Step 2 took 14974ms ********** Factor found in step 2: 147301249284122216250373549606679514029843 Found probable prime factor of 42 digits: 147301249284122216250373549606679514029843 Probable prime cofactor 1208960349758108358997701224526017692990732249305905944754309952837768494741024900714001688697417969 has 100 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 / 1587Serge BatalovJanuary 9, 2015 00:09:52 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 52 秒 (日本時間)
4511e6212 / 4409CypMay 10, 2015 15:23:24 UTC 2015 年 5 月 11 日 (月) 0 時 23 分 24 秒 (日本時間)

## 718×10189-79

### c191

name 名前 Serge Batalov January 10, 2015 21:11:32 UTC 2015 年 1 月 11 日 (日) 6 時 11 分 32 秒 (日本時間) `79777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<191>` `3678813033035070858196614679324994497084111<43>` `21685738595951429618247280813841399273035007132763501491130141202579393592897891285570223624117545364572973337611686187661432954268169805169659299007<149>` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3782865539 Step 1 took 14047ms Step 2 took 9943ms ********** Factor found in step 2: 3678813033035070858196614679324994497084111 Found probable prime factor of 43 digits: 3678813033035070858196614679324994497084111 Composite cofactor ```

### c149

name 名前 Eric Jeancolas September 20, 2020 02:00:41 UTC 2020 年 9 月 20 日 (日) 11 時 0 分 41 秒 (日本時間) `21685738595951429618247280813841399273035007132763501491130141202579393592897891285570223624117545364572973337611686187661432954268169805169659299007<149>` ```415889521292939750297203721805678725930997179449108321<54> 52143027139836649714872753125595189956634330465726591454110725961052327205439965939572791361567<95>``` ```21685738595951429618247280813841399273035007132763501491130141202579393592897891285570223624117545364572973337611686187661432954268169805169659299007=415889521292939750297203721805678725930997179449108321*52143027139836649714872753125595189956634330465726591454110725961052327205439965939572791361567 cado polynomial n: 21685738595951429618247280813841399273035007132763501491130141202579393592897891285570223624117545364572973337611686187661432954268169805169659299007 skew: 0.63 type: snfs c0: -35 c5: 359 Y0: 100000000000000000000000000000000000000 Y1: -1 # f(x) = 359*x^5-35 # g(x) = -x+100000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 11300000 tasks.lim1 = 11300000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 55 tasks.sieve.mfb1 = 55 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 415889521292939750297203721805678725930997179449108321 52143027139836649714872753125595189956634330465726591454110725961052327205439965939572791361567 Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info) Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info) Info:Generate Factor Base: Total cpu/real time for makefb: 4.9/2.13043 Info:Generate Free Relations: Total cpu/real time for freerel: 102.49/26.3941 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 29185077 Info:Lattice Sieving: Average J: 1893.82 for 3401383 special-q, max bucket fill -bkmult 1.0,1s:1.072860 Info:Lattice Sieving: Total time: 730330s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 59.5/65.4704 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 65.0s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 491.55/311.969 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 269.19999999999993s Info:Filtering - Singleton removal: Total cpu/real time for purge: 421.53/250.225 Info:Filtering - Merging: Merged matrix has 2517076 rows and total weight 431796503 (171.5 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 356.38/103.39 Info:Filtering - Merging: Total cpu/real time for replay: 98.54/86.5287 Info:Linear Algebra: Total cpu/real time for bwc: 112131/28839.9 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 18389.71, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (78848 iterations) Info:Linear Algebra: Lingen CPU time 517.11, WCT time 149.91 Info:Linear Algebra: Mksol: WCT time 10021.16, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (39424 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 89.88/38.2508 Info:Square Root: Total cpu/real time for sqrt: 1915.74/578.659 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.4905e+06/761693 Info:root: Cleaning up computation data in /tmp/cado.kdhjdkmb 415889521292939750297203721805678725930997179449108321 52143027139836649714872753125595189956634330465726591454110725961052327205439965939572791361567``` `cado-nfs-3.0.0` ```Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:09:52 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 52 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)
4511e64000Robert BalfourApril 28, 2020 16:49:01 UTC 2020 年 4 月 29 日 (水) 1 時 49 分 1 秒 (日本時間)

## 718×10190-79

### c183

name 名前 Serge Batalov January 9, 2015 03:55:59 UTC 2015 年 1 月 9 日 (金) 12 時 55 分 59 秒 (日本時間) `390472221688871428885427748554170510939786464086536874044967520554045660111684018861454381835175079290046623842374067392400067287108634492208830074072493984903633554611336403494920141<183>` ```38312077628195112134862058326263<32> 10191883235314550996845790389423798290632317558746465584012368330294242594100583692999339065006259308371469407501269919868766089764735885346670301270107<152>``` ```Input number is 390472221688871428885427748554170510939786464086536874044967520554045660111684018861454381835175079290046623842374067392400067287108634492208830074072493984903633554611336403494920141 (183 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3998200890 Step 1 took 15062ms Step 2 took 11309ms ********** Factor found in step 2: 38312077628195112134862058326263 Found probable prime factor of 32 digits: 38312077628195112134862058326263 Probable prime cofactor 10191883235314550996845790389423798290632317558746465584012368330294242594100583692999339065006259308371469407501269919868766089764735885346670301270107 has 152 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 00:09:53 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 53 秒 (日本時間)

## 718×10191-79

### c139

name 名前 Eric Jeancolas April 3, 2019 05:37:43 UTC 2019 年 4 月 3 日 (水) 14 時 37 分 43 秒 (日本時間) `2016225972906737277926025024516614934624974586113154485617539601636450500511253589414878469877737060067121715762023045220733915326817423339<139>` ```2934393676181132213267988420724119015693191915491222850387<58> 687101389725828008656557341129335736485384292481141022707778438258406924107263497<81>``` ```3*113*585383*2319534695259217789*8596111747182701032830919651*2934393676181132213267988420724119015693191915491222850387*687101389725828008656557341129335736485384292481141022707778438258406924107263497 [32;1mInfo[0m:root: Using default parameter file ./parameters/factor/params.c140 [32;1mInfo[0m:root: No database exists yet [32;1mInfo[0m:root: Created temporary directory /tmp/cado.7cyruw_d [32;1mInfo[0m:Database: Opened connection to database /tmp/cado.7cyruw_d/c140.db [32;1mInfo[0m:root: Set tasks.threads=12 based on detected logical cpus [32;1mInfo[0m:root: tasks.polyselect.threads = 2 [32;1mInfo[0m:root: tasks.sieve.las.threads = 2 [32;1mInfo[0m:root: slaves.scriptpath is /home/ng/cado-nfs-2.3.0 [32;1mInfo[0m:root: Command line parameters: ./cado-nfs.py 2016225972906737277926025024516614934624974586113154485617539601636450500511253589414878469877737060067121715762023045220733915326817423339 [32;1mInfo[0m:root: If this computation gets interrupted, it can be resumed with ./cado-nfs.py /tmp/cado.7cyruw_d/c140.parameters_snapshot.0 [32;1mInfo[0m:Server Launcher: Adding ng-All-Series to whitelist to allow clients on localhost to connect [32;1mInfo[0m:HTTP server: Using non-threaded HTTPS server [32;1mInfo[0m:HTTP server: Using whitelist: localhost,ng-All-Series [32;1mInfo[0m:Complete Factorization: Factoring 2016225972906737277926025024516614934624974586113154485617539601636450500511253589414878469877737060067121715762023045220733915326817423339 [32;1mInfo[0m:HTTP server: serving at https://ng-All-Series:43811 (0.0.0.0) [32;1mInfo[0m:HTTP server: For debugging purposes, the URL above can be accessed if the server.only_registered=False parameter is added [32;1mInfo[0m:HTTP server: You can start additional cado-nfs-client.py scripts with parameters: --server=https://ng-All-Series:43811 --certsha1=5aa057463d09c34abf896836910c3f0a8aace7fb [32;1mInfo[0m:HTTP server: If you want to start additional clients, remember to add their hosts to server.whitelist [32;1mInfo[0m:Client Launcher: Starting client id localhost on host localhost [32;1mInfo[0m:Client Launcher: Starting client id localhost+2 on host localhost [32;1mInfo[0m:Client Launcher: Starting client id localhost+3 on host localhost [32;1mInfo[0m:Client Launcher: Starting client id localhost+4 on host localhost [32;1mInfo[0m:Client Launcher: Starting client id localhost+5 on host localhost [32;1mInfo[0m:Client Launcher: Starting client id localhost+6 on host localhost [32;1mInfo[0m:Client Launcher: Running clients: localhost (Host localhost, PID 17032), localhost+2 (Host localhost, PID 17039), localhost+3 (Host localhost, PID 17042), localhost+4 (Host localhost, PID 17045), localhost+5 (Host localhost, PID 17048), localhost+6 (Host localhost, PID 17051) [32;1mInfo[0m:Polynomial Selection (size optimized): Starting [32;1mInfo[0m:Polynomial Selection (size optimized): 0 polynomials in queue from previous run [32;1mInfo[0m:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_0-4000 to database [32;1mInfo[0m:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_4000-8000 to database [32;1mInfo[0m:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_8000-12000 to database [32;1mInfo[0m:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_12000-16000 to database [32;1mInfo[0m:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_16000-20000 to database [32;1mInfo[0m:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_20000-24000 to database [32;1mInfo[0m:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_24000-28000 to database [32;1mInfo[0m:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_28000-32000 to database [32;1mInfo[0m:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_32000-36000 to database [32;1mInfo[0m:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_36000-40000 to database [32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_0-4000 to client localhost [32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_4000-8000 to client localhost+2 [32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_8000-12000 to client localhost+3 [32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_12000-16000 to client localhost+4 [32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_16000-20000 to client localhost+5 [32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_20000-24000 to client localhost+6 [32;1mInfo[0m:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_40000-44000 to database [32;1mInfo[0m:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_44000-48000 to database [32;1mInfo[0m:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_48000-52000 to database [32;1mInfo[0m:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_52000-56000 to database [32;1mInfo[0m:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_56000-60000 to database [32;1mInfo[0m:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_60000-64000 to database [32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_24000-28000 to client localhost+2 [32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_28000-32000 to client localhost+5 [32;1mInfo[0m:Polynomial Selection (size optimized): Parsed 638 polynomials, added 286 to priority queue (has 100) [32;1mInfo[0m:Polynomial Selection (size optimized): Worst polynomial in queue now has lognorm 38.610000 [32;1mInfo[0m:Polynomial Selection (size optimized): Marking workunit c140_polyselect1_4000-8000 as ok (1.0% => ETA Unknown) [32;1mInfo[0m:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_64000-68000 to database [32;1mInfo[0m:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_68000-72000 to database [32;1mInfo[0m:Polynomial Selection (size optimized): Parsed 666 polynomials, added 72 to priority queue (has 100) [32;1mInfo[0m:Polynomial Selection (size optimized): Worst polynomial in queue now has lognorm 38.260000 ...EJ: many similar lines [32;1mInfo[0m:Polynomial Selection (size optimized): Parsed 642 polynomials, added 0 to priority queue (has 100) [32;1mInfo[0m:Polynomial Selection (size optimized): Marking workunit c140_polyselect1_388000-392000 as ok (99.0% => ETA Mon Apr 1 10:42:43 2019) [32;1mInfo[0m:Polynomial Selection (size optimized): Parsed 627 polynomials, added 0 to priority queue (has 100) [32;1mInfo[0m:Polynomial Selection (size optimized): Marking workunit c140_polyselect1_396000-400000 as ok (100.0% => ETA Mon Apr 1 10:41:59 2019) [32;1mInfo[0m:Polynomial Selection (size optimized): Finished [32;1mInfo[0m:Polynomial Selection (size optimized): Aggregate statistics: [32;1mInfo[0m:Polynomial Selection (size optimized): potential collisions: 65655.1 [32;1mInfo[0m:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66181/41.290/49.788/54.890/0.977 [32;1mInfo[0m:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 66181/40.090/44.503/50.430/1.191 [32;1mInfo[0m:Polynomial Selection (size optimized): Total time: 58142 [32;1mInfo[0m:Polynomial Selection (root optimized): Starting [32;1mInfo[0m:Polynomial Selection (root optimized): No polynomial was previously found [32;1mInfo[0m:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_0 to database [32;1mInfo[0m:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_6 to database [32;1mInfo[0m:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_12 to database [32;1mInfo[0m:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_18 to database [32;1mInfo[0m:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_24 to database [32;1mInfo[0m:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_30 to database [32;1mInfo[0m:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_36 to database [32;1mInfo[0m:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_42 to database [32;1mInfo[0m:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_48 to database [32;1mInfo[0m:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_54 to database [32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_0 to client localhost+3 [32;1mInfo[0m:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_60 to database [32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_6 to client localhost [32;1mInfo[0m:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_66 to database [32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_12 to client localhost+5 [32;1mInfo[0m:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_72 to database [32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_18 to client localhost+2 [32;1mInfo[0m:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_78 to database [32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_24 to client localhost+4 [32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_30 to client localhost+6 [32;1mInfo[0m:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_84 to database [32;1mInfo[0m:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_90 to database [32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_36 to client localhost [32;1mInfo[0m:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_96 to database [32;1mInfo[0m:Polynomial Selection (root optimized): New best polynomial from file /tmp/cado.7cyruw_d/c140.upload/c140.polyselect2.dftci_js.opt_6: Murphy E = 6.81e-10 [32;1mInfo[0m:Polynomial Selection (root optimized): Marking workunit c140_polyselect2_6 as ok (4.0% => ETA Unknown) [32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_42 to client localhost+2 [32;1mInfo[0m:Polynomial Selection (root optimized): New best polynomial from file /tmp/cado.7cyruw_d/c140.upload/c140.polyselect2.__bnc1zy.opt_18: Murphy E = 7.31e-10 ...EJ: many similar lines [32;1mInfo[0m:Polynomial Selection (root optimized): Best polynomial from file /tmp/cado.7cyruw_d/c140.upload/c140.polyselect2.en235c_4.opt_78 with E=8.97e-10 is no better than current best with E=9.16e-10 [32;1mInfo[0m:Polynomial Selection (root optimized): Marking workunit c140_polyselect2_78 as ok (100.0% => ETA Mon Apr 1 10:53:34 2019) [32;1mInfo[0m:Polynomial Selection (root optimized): Finished, best polynomial from file /tmp/cado.7cyruw_d/c140.upload/c140.polyselect2.xj9v8opn.opt_66 has Murphy_E = 9.16e-10 [32;1mInfo[0m:Polynomial Selection (root optimized): Best overall polynomial was 7-th in list after size optimization [32;1mInfo[0m:Polynomial Selection (root optimized): Aggregate statistics: [32;1mInfo[0m:Polynomial Selection (root optimized): Total time: 7282.23 [32;1mInfo[0m:Polynomial Selection (root optimized): Rootsieve time: 7279.77 [32;1mInfo[0m:Generate Factor Base: Starting [32;1mInfo[0m:Generate Factor Base: Finished [32;1mInfo[0m:Generate Factor Base: Total cpu/real time for makefb: 23.25/2.50789 [32;1mInfo[0m:Generate Free Relations: Starting [32;1mInfo[0m:Generate Free Relations: Found 121518 free relations [32;1mInfo[0m:Generate Free Relations: Finished [32;1mInfo[0m:Generate Free Relations: Total cpu/real time for freerel: 352.04/32.679 [32;1mInfo[0m:Lattice Sieving: Starting [32;1mInfo[0m:Lattice Sieving: We want 25172582 relations [32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_10122724-10130000 to database [32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_10130000-10140000 to database [32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_10140000-10150000 to database [32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_10150000-10160000 to database [32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_10160000-10170000 to database [32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_10170000-10180000 to database [32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_10180000-10190000 to database [32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_10190000-10200000 to database [32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_10200000-10210000 to database [32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_10210000-10220000 to database [32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10122724-10130000 to client localhost [32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_10220000-10230000 to database [32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10130000-10140000 to client localhost+2 [32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_10230000-10240000 to database [32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10140000-10150000 to client localhost+3 [32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_10240000-10250000 to database [32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10150000-10160000 to client localhost+6 [32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_10250000-10260000 to database [32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10160000-10170000 to client localhost+5 [32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_10260000-10270000 to database [32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10170000-10180000 to client localhost+4 [32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_10270000-10280000 to database [32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10180000-10190000 to client localhost [32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_10280000-10290000 to database [32;1mInfo[0m:Lattice Sieving: Found 18877 relations in '/tmp/cado.7cyruw_d/c140.upload/c140.10122724-10130000.ewtmbteu.gz', total is now 18877/25172582 [32;1mInfo[0m:Lattice Sieving: Marking workunit c140_sieving_10122724-10130000 as ok (0.1% => ETA Unknown) [32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10190000-10200000 to client localhost+5 [32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_10290000-10300000 to database [32;1mInfo[0m:Lattice Sieving: Found 22478 relations in '/tmp/cado.7cyruw_d/c140.upload/c140.10160000-10170000.3ni7_vou.gz', total is now 41355/25172582 ...EJ: many similar lines [32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_22050000-22060000 to client localhost+5 [32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_22150000-22160000 to database [32;1mInfo[0m:Lattice Sieving: Found 18621 relations in '/tmp/cado.7cyruw_d/c140.upload/c140.21990000-22000000.fsc4falw.gz', total is now 25173661/25172582 [32;1mInfo[0m:Lattice Sieving: Marking workunit c140_sieving_21990000-22000000 as ok (100.0% => ETA Wed Apr 3 01:40:00 2019) [32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_22060000-22070000 to client localhost+4 [32;1mInfo[0m:Lattice Sieving: Adding workunit c140_sieving_22160000-22170000 to database [32;1mInfo[0m:Lattice Sieving: Reached target of 25172582 relations, now have 25173661 [32;1mInfo[0m:Lattice Sieving: Aggregate statistics: [32;1mInfo[0m:Lattice Sieving: Total number of relations: 25173661 [32;1mInfo[0m:Lattice Sieving: Average J: 3784.75 for 717805 special-q, max bucket fill: 0.630687 [32;1mInfo[0m:Lattice Sieving: Total CPU time: 1.61086e+06s [32;1mInfo[0m:Filtering - Duplicate Removal, splitting pass: Starting [32;1mInfo[0m:Filtering - Duplicate Removal, splitting pass: Splitting 1188 new files [32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_22070000-22080000 to client localhost+6 [32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_22080000-22090000 to client localhost [32;1mInfo[0m:Filtering - Duplicate Removal, splitting pass: Relations per slice: 0: 12586116, 1: 12587545 [32;1mInfo[0m:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 137.7/246.059 [32;1mInfo[0m:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: [32;1mInfo[0m:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 245.9s [32;1mInfo[0m:Filtering - Duplicate Removal, removal pass: Starting [32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_22090000-22100000 to client localhost+2 [32;1mInfo[0m:Filtering - Duplicate Removal, removal pass: 10665863 unique relations remain on slice 0 [32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_22100000-22110000 to client localhost+3 [32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_22110000-22120000 to client localhost+5 [32;1mInfo[0m:Filtering - Duplicate Removal, removal pass: 10667696 unique relations remain on slice 1 [32;1mInfo[0m:Filtering - Duplicate Removal, removal pass: Of 25173661 newly added relations 21333559 were unique (ratio 0.847456) [32;1mInfo[0m:Filtering - Duplicate Removal, removal pass: 21333559 unique relations remain in total [32;1mInfo[0m:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 576.65/388.086 [32;1mInfo[0m:Filtering - Singleton removal: Starting [32;1mInfo[0m:Filtering - Singleton removal: Reading 21333559 unique and 121518 free relations, total 21455077 [32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_22120000-22130000 to client localhost+4 [32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_22130000-22140000 to client localhost+6 [32;1mInfo[0m:HTTP server: 127.0.0.1 Sending workunit c140_sieving_22140000-22150000 to client localhost [32;1mInfo[0m:Filtering - Singleton removal: After purge, 7281354 relations with 7281194 primes remain with weight 139592347 and excess 160 [32;1mInfo[0m:Filtering - Singleton removal: Have enough relations [32;1mInfo[0m:HTTP server: Got notification to stop serving Workunits [32;1mInfo[0m:Lattice Sieving: Cancelling remaining workunits [32;1mInfo[0m:Client Launcher: Stopped client localhost (Host localhost, PID 17032) [32;1mInfo[0m:Client Launcher: Stopped client localhost+2 (Host localhost, PID 17039) [32;1mInfo[0m:Client Launcher: Stopped client localhost+3 (Host localhost, PID 17042) [32;1mInfo[0m:Client Launcher: Stopped client localhost+4 (Host localhost, PID 17045) [32;1mInfo[0m:Client Launcher: Stopped client localhost+5 (Host localhost, PID 17048) [32;1mInfo[0m:Client Launcher: Stopped client localhost+6 (Host localhost, PID 17051) [32;1mInfo[0m:Filtering - Singleton removal: Total cpu/real time for purge: 322.37/263.869 [32;1mInfo[0m:Filtering - Merging: Starting [32;1mInfo[0m:Filtering - Merging: Merged matrix has 1796500 rows and total weight 305405601 (170.0 entries per row on average) [32;1mInfo[0m:Filtering - Merging: Total cpu/real time for merge: 952.34/875.478 [32;1mInfo[0m:Filtering - Merging: Total cpu/real time for replay: 62.57/48.4895 [32;1mInfo[0m:Linear Algebra: Starting [32;1mInfo[0m:Linear Algebra: krylov: N=1000 ; ETA (N=57000): Wed Apr 3 05:21:10 2019 [0.194 s/iter] [32;1mInfo[0m:Linear Algebra: krylov: N=2000 ; ETA (N=57000): Wed Apr 3 05:23:05 2019 [0.196 s/iter] ...EJ: many similar lines [32;1mInfo[0m:Linear Algebra: krylov: N=56000 ; ETA (N=57000): Wed Apr 3 05:26:51 2019 [0.200 s/iter] [32;1mInfo[0m:Linear Algebra: krylov: N=57000 ; ETA (N=57000): Wed Apr 3 05:26:51 2019 [0.200 s/iter] [32;1mInfo[0m:Linear Algebra: lingen ETA: Wed Apr 3 05:27:08 2019 [32;1mInfo[0m:Linear Algebra: lingen ETA: Wed Apr 3 05:30:50 2019 [32;1mInfo[0m:Linear Algebra: lingen ETA: Wed Apr 3 05:28:07 2019 [32;1mInfo[0m:Linear Algebra: lingen ETA: Wed Apr 3 05:28:06 2019 [32;1mInfo[0m:Linear Algebra: lingen ETA: Wed Apr 3 05:28:16 2019 [32;1mInfo[0m:Linear Algebra: lingen ETA: Wed Apr 3 05:28:18 2019 [32;1mInfo[0m:Linear Algebra: lingen ETA: Wed Apr 3 05:28:19 2019 [32;1mInfo[0m:Linear Algebra: lingen ETA: Wed Apr 3 05:28:16 2019 [32;1mInfo[0m:Linear Algebra: lingen ETA: Wed Apr 3 05:28:19 2019 [32;1mInfo[0m:Linear Algebra: lingen ETA: Wed Apr 3 05:28:19 2019 [32;1mInfo[0m:Linear Algebra: lingen ETA: Wed Apr 3 05:28:19 2019 [32;1mInfo[0m:Linear Algebra: lingen ETA: Wed Apr 3 05:28:19 2019 [32;1mInfo[0m:Linear Algebra: lingen ETA: Wed Apr 3 05:28:16 2019 [32;1mInfo[0m:Linear Algebra: lingen ETA: Wed Apr 3 05:28:17 2019 [32;1mInfo[0m:Linear Algebra: lingen ETA: Wed Apr 3 05:28:20 2019 [32;1mInfo[0m:Linear Algebra: lingen ETA: Wed Apr 3 05:28:15 2019 [32;1mInfo[0m:Linear Algebra: lingen ETA: Wed Apr 3 05:28:11 2019 [32;1mInfo[0m:Linear Algebra: mksol: N=1000 ; ETA (N=29000): Wed Apr 3 07:10:50 2019 [0.212 s/iter] [32;1mInfo[0m:Linear Algebra: mksol: N=2000 ; ETA (N=29000): Wed Apr 3 07:11:36 2019 [0.214 s/iter] [32;1mInfo[0m:Linear Algebra: mksol: N=3000 ; ETA (N=29000): Wed Apr 3 07:11:59 2019 [0.215 s/iter] [32;1mInfo[0m:Linear Algebra: mksol: N=4000 ; ETA (N=29000): Wed Apr 3 07:12:02 2019 [0.215 s/iter] [32;1mInfo[0m:Linear Algebra: mksol: N=5000 ; ETA (N=29000): Wed Apr 3 07:12:11 2019 [0.215 s/iter] [32;1mInfo[0m:Linear Algebra: mksol: N=6000 ; ETA (N=29000): Wed Apr 3 07:12:13 2019 [0.215 s/iter] [32;1mInfo[0m:Linear Algebra: mksol: N=7000 ; ETA (N=29000): Wed Apr 3 07:12:15 2019 [0.215 s/iter] [32;1mInfo[0m:Linear Algebra: mksol: N=8000 ; ETA (N=29000): Wed Apr 3 07:12:17 2019 [0.215 s/iter] [32;1mInfo[0m:Linear Algebra: mksol: N=9000 ; ETA (N=29000): Wed Apr 3 07:12:19 2019 [0.215 s/iter] [32;1mInfo[0m:Linear Algebra: mksol: N=10000 ; ETA (N=29000): Wed Apr 3 07:12:18 2019 [0.215 s/iter] [32;1mInfo[0m:Linear Algebra: mksol: N=11000 ; ETA (N=29000): Wed Apr 3 07:12:17 2019 [0.215 s/iter] [32;1mInfo[0m:Linear Algebra: mksol: N=12000 ; ETA (N=29000): Wed Apr 3 07:12:18 2019 [0.215 s/iter] [32;1mInfo[0m:Linear Algebra: mksol: N=13000 ; ETA (N=29000): Wed Apr 3 07:12:18 2019 [0.215 s/iter] [32;1mInfo[0m:Linear Algebra: mksol: N=14000 ; ETA (N=29000): Wed Apr 3 07:12:21 2019 [0.216 s/iter] [32;1mInfo[0m:Linear Algebra: mksol: N=15000 ; ETA (N=29000): Wed Apr 3 07:12:22 2019 [0.216 s/iter] [32;1mInfo[0m:Linear Algebra: mksol: N=16000 ; ETA (N=29000): Wed Apr 3 07:12:23 2019 [0.216 s/iter] [32;1mInfo[0m:Linear Algebra: mksol: N=17000 ; ETA (N=29000): Wed Apr 3 07:12:25 2019 [0.216 s/iter] [32;1mInfo[0m:Linear Algebra: mksol: N=18000 ; ETA (N=29000): Wed Apr 3 07:12:27 2019 [0.216 s/iter] [32;1mInfo[0m:Linear Algebra: mksol: N=19000 ; ETA (N=29000): Wed Apr 3 07:12:27 2019 [0.216 s/iter] [32;1mInfo[0m:Linear Algebra: mksol: N=20000 ; ETA (N=29000): Wed Apr 3 07:12:29 2019 [0.216 s/iter] [32;1mInfo[0m:Linear Algebra: mksol: N=21000 ; ETA (N=29000): Wed Apr 3 07:12:29 2019 [0.216 s/iter] [32;1mInfo[0m:Linear Algebra: mksol: N=22000 ; ETA (N=29000): Wed Apr 3 07:12:31 2019 [0.216 s/iter] [32;1mInfo[0m:Linear Algebra: mksol: N=23000 ; ETA (N=29000): Wed Apr 3 07:12:31 2019 [0.216 s/iter] [32;1mInfo[0m:Linear Algebra: mksol: N=24000 ; ETA (N=29000): Wed Apr 3 07:12:32 2019 [0.216 s/iter] [32;1mInfo[0m:Linear Algebra: mksol: N=25000 ; ETA (N=29000): Wed Apr 3 07:12:32 2019 [0.216 s/iter] [32;1mInfo[0m:Linear Algebra: mksol: N=26000 ; ETA (N=29000): Wed Apr 3 07:12:32 2019 [0.216 s/iter] [32;1mInfo[0m:Linear Algebra: mksol: N=27000 ; ETA (N=29000): Wed Apr 3 07:12:31 2019 [0.216 s/iter] [32;1mInfo[0m:Linear Algebra: mksol: N=28000 ; ETA (N=29000): Wed Apr 3 07:12:31 2019 [0.216 s/iter] [32;1mInfo[0m:Linear Algebra: mksol: N=29000 ; ETA (N=29000): Wed Apr 3 07:12:17 2019 [0.215 s/iter] [32;1mInfo[0m:Linear Algebra: Total cpu/real time for bwc: 191093/0.000211239 [32;1mInfo[0m:Linear Algebra: Aggregate statistics: [32;1mInfo[0m:Linear Algebra: Krylov: WCT time 11423.47 [32;1mInfo[0m:Linear Algebra: Lingen CPU time 678.83, WCT time 77.58 [32;1mInfo[0m:Linear Algebra: Mksol: WCT time 6247.97 [32;1mInfo[0m:Quadratic Characters: Starting [32;1mInfo[0m:Quadratic Characters: Total cpu/real time for characters: 74.56/17.1258 [32;1mInfo[0m:Square Root: Starting [32;1mInfo[0m:Square Root: Creating file of (a,b) values [32;1mInfo[0m:Square Root: finished [32;1mInfo[0m:Square Root: Factors: 2934393676181132213267988420724119015693191915491222850387 687101389725828008656557341129335736485384292481141022707778438258406924107263497 [32;1mInfo[0m:Square Root: Total cpu/real time for sqrt: 4407.27/621.338 [32;1mInfo[0m:Polynomial Selection (size optimized): Aggregate statistics: [32;1mInfo[0m:Polynomial Selection (size optimized): potential collisions: 65655.1 [32;1mInfo[0m:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66181/41.290/49.788/54.890/0.977 [32;1mInfo[0m:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 66181/40.090/44.503/50.430/1.191 [32;1mInfo[0m:Polynomial Selection (size optimized): Total time: 58142 [32;1mInfo[0m:Polynomial Selection (root optimized): Aggregate statistics: [32;1mInfo[0m:Polynomial Selection (root optimized): Total time: 7282.23 [32;1mInfo[0m:Polynomial Selection (root optimized): Rootsieve time: 7279.77 [32;1mInfo[0m:Generate Factor Base: Total cpu/real time for makefb: 23.25/2.50789 [32;1mInfo[0m:Generate Free Relations: Total cpu/real time for freerel: 352.04/32.679 [32;1mInfo[0m:Lattice Sieving: Aggregate statistics: [32;1mInfo[0m:Lattice Sieving: Total number of relations: 25173661 [32;1mInfo[0m:Lattice Sieving: Average J: 3784.75 for 717805 special-q, max bucket fill: 0.630687 [32;1mInfo[0m:Lattice Sieving: Total CPU time: 1.61086e+06s [32;1mInfo[0m:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 137.7/246.059 [32;1mInfo[0m:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: [32;1mInfo[0m:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 245.9s [32;1mInfo[0m:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 576.65/388.086 [32;1mInfo[0m:Filtering - Singleton removal: Total cpu/real time for purge: 322.37/263.869 [32;1mInfo[0m:Filtering - Merging: Total cpu/real time for merge: 952.34/875.478 [32;1mInfo[0m:Filtering - Merging: Total cpu/real time for replay: 62.57/48.4895 [32;1mInfo[0m:Linear Algebra: Total cpu/real time for bwc: 191093/0.000211239 [32;1mInfo[0m:Linear Algebra: Aggregate statistics: [32;1mInfo[0m:Linear Algebra: Krylov: WCT time 11423.47 [32;1mInfo[0m:Linear Algebra: Lingen CPU time 678.83, WCT time 77.58 [32;1mInfo[0m:Linear Algebra: Mksol: WCT time 6247.97 [32;1mInfo[0m:Quadratic Characters: Total cpu/real time for characters: 74.56/17.1258 [32;1mInfo[0m:Square Root: Total cpu/real time for sqrt: 4407.27/621.338 [32;1mInfo[0m:HTTP server: Shutting down HTTP server [32;1mInfo[0m:Complete Factorization: Total cpu/elapsed time for entire factorization: 1.87428e+06/165825 [32;1mInfo[0m:root: Cleaning up computation data in /tmp/cado.7cyruw_d 2934393676181132213267988420724119015693191915491222850387 687101389725828008656557341129335736485384292481141022707778438258406924107263497``` `cado-nfs-2.3.0` ```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)
403e6301300Serge BatalovJanuary 9, 2015 00:09:54 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 54 秒 (日本時間)
1CypJanuary 9, 2015 00:52:06 UTC 2015 年 1 月 9 日 (金) 9 時 52 分 6 秒 (日本時間)
4511e6585 / 4409CypJune 4, 2015 05:59:40 UTC 2015 年 6 月 4 日 (木) 14 時 59 分 40 秒 (日本時間)

## 718×10192-79

### c129

name 名前 Serge Batalov January 8, 2015 23:02:55 UTC 2015 年 1 月 9 日 (金) 8 時 2 分 55 秒 (日本時間) `110717917311371754621457345111608439265905753048317272178676111792650295246529525267294647735191223854997234037980557478761393919<129>` ```12697806954669784859428043140357<32> 8719451926354400122082253169609918454704149135275443195349780594141915498842191601359674678070067<97>``` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1211536232 Step 1 took 8164ms Step 2 took 7828ms ********** Factor found in step 2: 12697806954669784859428043140357 Found probable prime factor of 32 digits: 12697806954669784859428043140357 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)

## 718×10193-79

### c165

name 名前 Eric Jeancolas July 5, 2021 06:44:52 UTC 2021 年 7 月 5 日 (月) 15 時 44 分 52 秒 (日本時間) `513450934413315532570599398513399348217007847443329061103646933348062645438665635962133332328554830551272754776395907182060863752949778157645536925064989752555900789<165>` ```2185280214753235618668178482775609933286152655375981<52> 390589069393173384263281880888996614576303656669274909<54> 601549997622402058936097717598442604186163827651321879222141<60>``` ```513450934413315532570599398513399348217007847443329061103646933348062645438665635962133332328554830551272754776395907182060863752949778157645536925064989752555900789=2185280214753235618668178482775609933286152655375981*390589069393173384263281880888996614576303656669274909*601549997622402058936097717598442604186163827651321879222141 cado polynomial n: 513450934413315532570599398513399348217007847443329061103646933348062645438665635962133332328554830551272754776395907182060863752949778157645536925064989752555900789 skew: 0.31 type: snfs c0: -7 c6: 7180 Y0: 100000000000000000000000000000000 Y1: -1 # f(x) = 7180*x^6-7 # g(x) = -x+100000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 12900000 tasks.lim1 = 12900000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 55 tasks.sieve.mfb1 = 55 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 2185280214753235618668178482775609933286152655375981 390589069393173384263281880888996614576303656669274909 601549997622402058936097717598442604186163827651321879222141 Info:Square Root: Total cpu/real time for sqrt: 1593.27/461.736 Info:Filtering - Singleton removal: Total cpu/real time for purge: 426.21/502.484 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 28286124 Info:Lattice Sieving: Average J: 1897.15 for 3546914 special-q, max bucket fill -bkmult 1.0,1s:1.174450 Info:Lattice Sieving: Total time: 759404s Info:Linear Algebra: Total cpu/real time for bwc: 109608/28050.8 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 70164.88, WCT time 17896.93, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (78848 iterations) Info:Linear Algebra: Lingen CPU time 536.55, WCT time 136.05 Info:Linear Algebra: Mksol: CPU time 38006.18, WCT time 9710.23, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (39424 iterations) Info:Generate Factor Base: Total cpu/real time for makefb: 8.55/5.16794 Info:Generate Free Relations: Total cpu/real time for freerel: 182.66/48.9454 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 120.2/142.307 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 141.5s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 542.47/550.215 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 449.09999999999997s Info:Filtering - Merging: Merged matrix has 2518703 rows and total weight 429650023 (170.6 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 684.12/189.641 Info:Filtering - Merging: Total cpu/real time for replay: 98.32/84.4552 Info:Quadratic Characters: Total cpu/real time for characters: 87.08/38.1487 Info:Square Root: Total cpu/real time for sqrt: 1593.27/461.736 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.54227e+06/140292 Info:root: Cleaning up computation data in /tmp/cado.8qypdcy1 2185280214753235618668178482775609933286152655375981 390589069393173384263281880888996614576303656669274909 601549997622402058936097717598442604186163827651321879222141``` `cado-nfs-3.0.0` ```3 x Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:09:55 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 55 秒 (日本時間)
4511e6585 / 4409CypJune 16, 2015 17:29:29 UTC 2015 年 6 月 17 日 (水) 2 時 29 分 29 秒 (日本時間)

## 718×10194-79

### c189

name 名前 Cyp February 1, 2015 14:40:01 UTC 2015 年 2 月 1 日 (日) 23 時 40 分 1 秒 (日本時間) `200973485895497420531899730677894736229255460104625957035110042794280821936884097613807373357236638305081205646211811997186136075278980098858073971381661113990378190030378821837276263782649<189>` ```5168412776607541574579965671240784758237786937<46> 38884952611585525419494805514421928258294824367941553329996063344135986616272845527085030207824575400058203213464747550362379594009596248560577<143>``` ```Run 271 out of 585: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2645431432 Step 1 took 59082ms Step 2 took 19015ms ********** Factor found in step 2: 5168412776607541574579965671240784758237786937 Found probable prime factor of 46 digits: 5168412776607541574579965671240784758237786937 Probable prime cofactor 38884952611585525419494805514421928258294824367941553329996063344135986616272845527085030207824575400058203213464747550362379594009596248560577 has 143 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 / 1383Serge BatalovJanuary 9, 2015 00:09:55 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 55 秒 (日本時間)
4511e6271 / 4409CypFebruary 1, 2015 14:40:00 UTC 2015 年 2 月 1 日 (日) 23 時 40 分 0 秒 (日本時間)

## 718×10196-79

### c121

name 名前 Cyp January 9, 2015 00:57:24 UTC 2015 年 1 月 9 日 (金) 9 時 57 分 24 秒 (日本時間) `7114302726866373974790182343629984783438689271689564866023869132749988966918513750772984117362400582059842745102511426827<121>` ```1699216121641832538145511250905189<34> 4186814517739112355164157026652640034129926817225829634889974002074487895112968204423343<88>``` ```Run 168 out of 281: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1872303374 Step 1 took 8827ms Step 2 took 3812ms ********** Factor found in step 2: 1699216121641832538145511250905189 Found probable prime factor of 34 digits: 1699216121641832538145511250905189 Probable prime cofactor 4186814517739112355164157026652640034129926817225829634889974002074487895112968204423343 has 88 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
3025e40--
351e6118 / 433Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6168 / 2318CypJanuary 9, 2015 00:57:23 UTC 2015 年 1 月 9 日 (金) 9 時 57 分 23 秒 (日本時間)

## 718×10197-79

### c179

name 名前 Bob Backstrom April 2, 2021 00:32:46 UTC 2021 年 4 月 2 日 (金) 9 時 32 分 46 秒 (日本時間) `86817577080182035322982695923034921112243855657998650167453922825369185656257385616820861844326835930897681237306192586478857574154041892482777583975963755173710832479029609517053<179>` ```9037558417808634911655262038981463363834434729070858991186690199565028556945577<79> 9606308813352374997363663851964482471325715496712522268264993797092193484447380228862308960850939189<100>``` ```Number: n N=86817577080182035322982695923034921112243855657998650167453922825369185656257385616820861844326835930897681237306192586478857574154041892482777583975963755173710832479029609517053 ( 179 digits) SNFS difficulty: 199 digits. Divisors found: Fri Apr 2 11:27:31 2021 p79 factor: 9037558417808634911655262038981463363834434729070858991186690199565028556945577 Fri Apr 2 11:27:31 2021 p100 factor: 9606308813352374997363663851964482471325715496712522268264993797092193484447380228862308960850939189 Fri Apr 2 11:27:31 2021 elapsed time 01:30:52 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.344). Factorization parameters were as follows: # # N = 718x10^197-7 = 797(197) # n: 86817577080182035322982695923034921112243855657998650167453922825369185656257385616820861844326835930897681237306192586478857574154041892482777583975963755173710832479029609517053 m: 1000000000000000000000000000000000000000 deg: 5 c5: 71800 c0: -7 skew: 0.16 # Murphy_E = 1.128e-11 type: snfs lss: 1 rlim: 15000000 alim: 15000000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 15000000/15000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 27500000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 4716529 hash collisions in 30961283 relations (27717556 unique) Msieve: matrix is 1971791 x 1972016 (689.6 MB) Sieving start time : 2021/04/02 00:24:10 Sieving end time : 2021/04/02 09:56:06 Total sieving time: 9hrs 31min 56secs. Total relation processing time: 1hrs 17min 44sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 13sec. Prototype def-par.txt line would be: snfs,199,5,0,0,0,0,0,0,0,0,15000000,15000000,28,28,55,55,2.5,2.5,100000 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 00:09:56 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 56 秒 (日本時間)
1CypJanuary 9, 2015 01:05:12 UTC 2015 年 1 月 9 日 (金) 10 時 5 分 12 秒 (日本時間)
4511e6585 / 4409CypJuly 19, 2015 07:24:59 UTC 2015 年 7 月 19 日 (日) 16 時 24 分 59 秒 (日本時間)

## 718×10198-79

### c198

name 名前 Eric Jeancolas April 1, 2021 08:35:14 UTC 2021 年 4 月 1 日 (木) 17 時 35 分 14 秒 (日本時間) `348374575448811256671518680252304706453178068898592916060164968461911693352741387675885492479378942261038330907326540514313440077632217370208636584182435710819990295972828723920426977195536147501213<198>` ```3071945674019636893307144249050650096627577994523386958417601393724738783<73> 113405187596616440392886728135368013860358412854562332490710393322586081161283722028084835817185559538054297130492391689246211<126>``` ```348374575448811256671518680252304706453178068898592916060164968461911693352741387675885492479378942261038330907326540514313440077632217370208636584182435710819990295972828723920426977195536147501213=3071945674019636893307144249050650096627577994523386958417601393724738783*113405187596616440392886728135368013860358412854562332490710393322586081161283722028084835817185559538054297130492391689246211 cado polynomial n: 348374575448811256671518680252304706453178068898592916060164968461911693352741387675885492479378942261038330907326540514313440077632217370208636584182435710819990295972828723920426977195536147501213 skew: 0.46 type: snfs c0: -7 c6: 718 Y0: 1000000000000000000000000000000000 Y1: -1 # f(x) = 718*x^6-7 # g(x) = -x+1000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 15600000 tasks.lim1 = 15600000 tasks.lpb0 = 29 tasks.lpb1 = 29 tasks.sieve.mfb0 = 56 tasks.sieve.mfb1 = 56 tasks.sieve.lambda0 = 2.6 tasks.sieve.lambda1 = 2.6 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 113405187596616440392886728135368013860358412854562332490710393322586081161283722028084835817185559538054297130492391689246211 3071945674019636893307144249050650096627577994523386958417601393724738783 Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info) Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info) Info:Generate Factor Base: Total cpu/real time for makefb: 10.15/3.40439 Info:Generate Free Relations: Total cpu/real time for freerel: 335.22/85.2553 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 46763038 Info:Lattice Sieving: Average J: 1895.54 for 4656145 special-q, max bucket fill -bkmult 1.0,1s:1.097480 Info:Lattice Sieving: Total time: 1.38754e+06s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 88.89/237.037 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 236.39999999999998s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 760.06/653.495 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 562.6s Info:Filtering - Singleton removal: Total cpu/real time for purge: 553.99/609.349 Info:Filtering - Merging: Merged matrix has 3474829 rows and total weight 592683942 (170.6 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 505.71/145.881 Info:Filtering - Merging: Total cpu/real time for replay: 138.81/121.929 Info:Linear Algebra: Total cpu/real time for bwc: 229510/58912.9 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 37686.1, iteration CPU time 0.33, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (109056 iterations) Info:Linear Algebra: Lingen CPU time 765.97, WCT time 220.93 Info:Linear Algebra: Mksol: WCT time 20562.45, iteration CPU time 0.36, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (54784 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 127.99/53.4288 Info:Square Root: Total cpu/real time for sqrt: 1116.63/332.668 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.70355e+06/334853 Info:root: Cleaning up computation data in /tmp/cado.971e8fxr 113405187596616440392886728135368013860358412854562332490710393322586081161283722028084835817185559538054297130492391689246211 3071945674019636893307144249050650096627577994523386958417601393724738783``` `cado-nfs-3.0.0` ```3 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62401300Serge BatalovJanuary 9, 2015 00:09:56 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 56 秒 (日本時間)
1CypJanuary 9, 2015 00:49:24 UTC 2015 年 1 月 9 日 (金) 9 時 49 分 24 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:08:57 UTC 2015 年 1 月 11 日 (日) 5 時 8 分 57 秒 (日本時間)

## 718×10199-79

### c197

name 名前 Eric Jeancolas March 31, 2021 08:02:17 UTC 2021 年 3 月 31 日 (水) 17 時 2 分 17 秒 (日本時間) `97041452107745745989268675073321709983916528132560245441890010677262836367568152022597953749881739177445295922366838313803403208585059941342632012866777493951803646487991458189730905945478381921637<197>` ```209008427073706810209001448467613236168758562164631972534932158999<66> 226558226653338567964134825176368934407054235690802960551867554873<66> 2049338282946748665817200378043621282968190438253339836129795259131<67>``` ```97041452107745745989268675073321709983916528132560245441890010677262836367568152022597953749881739177445295922366838313803403208585059941342632012866777493951803646487991458189730905945478381921637=226558226653338567964134825176368934407054235690802960551867554873*209008427073706810209001448467613236168758562164631972534932158999*2049338282946748665817200378043621282968190438253339836129795259131 cado polynomial n: 97041452107745745989268675073321709983916528132560245441890010677262836367568152022597953749881739177445295922366838313803403208585059941342632012866777493951803646487991458189730905945478381921637 skew: 0.31 type: snfs c0: -7 c6: 7180 Y0: 1000000000000000000000000000000000 Y1: -1 # f(x) = 7180*x^6-7 # g(x) = -x+1000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 16200000 tasks.lim1 = 16200000 tasks.lpb0 = 29 tasks.lpb1 = 29 tasks.sieve.mfb0 = 56 tasks.sieve.mfb1 = 56 tasks.sieve.lambda0 = 2.6 tasks.sieve.lambda1 = 2.6 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 226558226653338567964134825176368934407054235690802960551867554873 2049338282946748665817200378043621282968190438253339836129795259131 209008427073706810209001448467613236168758562164631972534932158999 Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info) Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info) Info:Generate Factor Base: Total cpu/real time for makefb: 10.49/3.51362 Info:Generate Free Relations: Total cpu/real time for freerel: 337.18/85.3844 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 46544260 Info:Lattice Sieving: Average J: 1897.36 for 4480979 special-q, max bucket fill -bkmult 1.0,1s:1.130690 Info:Lattice Sieving: Total time: 1.57099e+06s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 89.1/238.266 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 237.6s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 761.24/730.279 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 644.0s Info:Filtering - Singleton removal: Total cpu/real time for purge: 550.51/650.631 Info:Filtering - Merging: Merged matrix has 3437775 rows and total weight 586218248 (170.5 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 485.97/175.795 Info:Filtering - Merging: Total cpu/real time for replay: 136.43/118.521 Info:Linear Algebra: Total cpu/real time for bwc: 217663/55727.7 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 35849.44, iteration CPU time 0.32, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (107520 iterations) Info:Linear Algebra: Lingen CPU time 746.98, WCT time 215.57 Info:Linear Algebra: Mksol: WCT time 19239.41, iteration CPU time 0.34, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (53760 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 124.51/51.7035 Info:Square Root: Total cpu/real time for sqrt: 3358.16/962.925 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.02223e+06/250039 Info:root: Cleaning up computation data in /tmp/cado.srdip5qr 226558226653338567964134825176368934407054235690802960551867554873 2049338282946748665817200378043621282968190438253339836129795259131 209008427073706810209001448467613236168758562164631972534932158999``` `cado-nfs-3.0.0` ```3 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62401300Serge BatalovJanuary 9, 2015 00:09:57 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 57 秒 (日本時間)
1CypJanuary 9, 2015 00:48:15 UTC 2015 年 1 月 9 日 (金) 9 時 48 分 15 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:08:58 UTC 2015 年 1 月 11 日 (日) 5 時 8 分 58 秒 (日本時間)

## 718×10200-79

### c184

name 名前 Serge Batalov January 9, 2015 03:56:04 UTC 2015 年 1 月 9 日 (金) 12 時 56 分 4 秒 (日本時間) `9818999436582787184236884751920852537649767404147079637803250084087382853618308833736024166884676723869332674177035668537117369836480869654119561420370493332179421080144764916704959503<184>` ```37868140096974709207315627888831011641856217<44> 259294473175544958082818696955555740082177584628307992956446230877491641859111167799117092198521293715411304626538668004848277327584007013159<141>``` ```Input number is 9818999436582787184236884751920852537649767404147079637803250084087382853618308833736024166884676723869332674177035668537117369836480869654119561420370493332179421080144764916704959503 (184 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=949563645 Step 1 took 14975ms Step 2 took 11660ms ********** Factor found in step 2: 37868140096974709207315627888831011641856217 Found probable prime factor of 44 digits: 37868140096974709207315627888831011641856217 Probable prime cofactor 259294473175544958082818696955555740082177584628307992956446230877491641859111167799117092198521293715411304626538668004848277327584007013159 has 141 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 00:09:57 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 57 秒 (日本時間)

## 718×10201-79

### c183

name 名前 Bob Backstrom September 16, 2021 17:53:32 UTC 2021 年 9 月 17 日 (金) 2 時 53 分 32 秒 (日本時間) `233094131818905847701197604577802457527695202490679741192073997730520488214505664310993912852293489125302276575684609763683756381146877613108741864498609823834206230658434895627792983<183>` ```1665004453014082488490376423017264335105685527857<49> 139996101149727287977444824601571892617018018784582252736144396194228306957148633757418953806408945912591025854914500837815365680154119<135>``` ```Number: n N=233094131818905847701197604577802457527695202490679741192073997730520488214505664310993912852293489125302276575684609763683756381146877613108741864498609823834206230658434895627792983 ( 183 digits) SNFS difficulty: 203 digits. Divisors found: Fri Sep 17 03:48:10 2021 p49 factor: 1665004453014082488490376423017264335105685527857 Fri Sep 17 03:48:10 2021 p135 factor: 139996101149727287977444824601571892617018018784582252736144396194228306957148633757418953806408945912591025854914500837815365680154119 Fri Sep 17 03:48:10 2021 elapsed time 02:41:01 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.334). Factorization parameters were as follows: # # N = 718x10^201-7 = 797(201) # n: 233094131818905847701197604577802457527695202490679741192073997730520488214505664310993912852293489125302276575684609763683756381146877613108741864498609823834206230658434895627792983 m: 10000000000000000000000000000000000000000 deg: 5 c5: 7180 c0: -7 skew: 0.25 # Murphy_E = 6.864e-12 type: snfs lss: 1 rlim: 17500000 alim: 17500000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 17500000/17500000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 56/56 Sieved special-q in [100000, 57550000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 12355319 hash collisions in 69566672 relations (59281896 unique) Msieve: matrix is 2651881 x 2652108 (907.8 MB) Sieving start time : 2021/09/16 04:35:37 Sieving end time : 2021/09/17 01:05:18 Total sieving time: 20hrs 29min 41secs. Total relation processing time: 2hrs 20min 26sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 28sec. Prototype def-par.txt line would be: snfs,203,5,0,0,0,0,0,0,0,0,17500000,17500000,29,29,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118839] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16239964K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2736K init, 4964K bss, 487272K reserved, 0K cma-reserved) [ 0.153502] x86/mm: Memory block size: 128MB [ 0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.11 BogoMIPS (lpj=12798236) [ 0.152049] smpboot: Total of 16 processors activated (102385.88 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 00:09:58 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 58 秒 (日本時間)
1CypJanuary 9, 2015 01:03:33 UTC 2015 年 1 月 9 日 (金) 10 時 3 分 33 秒 (日本時間)
4511e6585 / 4409CypMay 20, 2015 19:56:53 UTC 2015 年 5 月 21 日 (木) 4 時 56 分 53 秒 (日本時間)

## 718×10202-79

### c196

name 名前 Serge Batalov January 9, 2015 03:56:08 UTC 2015 年 1 月 9 日 (金) 12 時 56 分 8 秒 (日本時間) `9589032382080887577504572890013989556867962879744496466013533097558258543521684512957733579256489106220167717278048346750052358053309915687578047862357009881627415157900866737545642208208906456477<196>` ```163790601782744472496310843<27> 58544460290829111064671674704623499155448240181054423988068762643026426347961263112091228458802088673555523352069478383058529662632831776150868596986934795440939002655239<170>``` ```Input number is 9589032382080887577504572890013989556867962879744496466013533097558258543521684512957733579256489106220167717278048346750052358053309915687578047862357009881627415157900866737545642208208906456477 (196 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=153145902 Step 1 took 16178ms Step 2 took 10786ms ********** Factor found in step 2: 163790601782744472496310843 Found probable prime factor of 27 digits: 163790601782744472496310843 Probable prime cofactor 58544460290829111064671674704623499155448240181054423988068762643026426347961263112091228458802088673555523352069478383058529662632831776150868596986934795440939002655239 has 170 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 00:09:58 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 58 秒 (日本時間)

## 718×10205-79

### c186

name 名前 Bob Backstrom October 19, 2021 14:24:06 UTC 2021 年 10 月 19 日 (火) 23 時 24 分 6 秒 (日本時間) `767328881853402533236922480902816067481012576071176941082949342970167015912545000344776337235151464210411481129909410172595821134347918493465655155408000245345729152117241404139551703169<186>` ```608585400615525745163673421462617639507179252592509<51> 4071562909177889299229344570701866588897705699106419<52> 309669808741943051295889349135149270172648408193253351808029009266380766059008495639<84>``` ```Number: n N=767328881853402533236922480902816067481012576071176941082949342970167015912545000344776337235151464210411481129909410172595821134347918493465655155408000245345729152117241404139551703169 ( 186 digits) SNFS difficulty: 207 digits. Divisors found: Wed Oct 20 01:08:53 2021 found factor: 309669808741943051295889349135149270172648408193253351808029009266380766059008495639 Wed Oct 20 01:12:24 2021 p51 factor: 608585400615525745163673421462617639507179252592509 Wed Oct 20 01:12:24 2021 p52 factor: 4071562909177889299229344570701866588897705699106419 Wed Oct 20 01:12:24 2021 p84 factor: 309669808741943051295889349135149270172648408193253351808029009266380766059008495639 Wed Oct 20 01:12:24 2021 elapsed time 02:43:52 (Msieve 1.54 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.336). Factorization parameters were as follows: # # N = 718x10^205-7 = 797(205) # n: 767328881853402533236922480902816067481012576071176941082949342970167015912545000344776337235151464210411481129909410172595821134347918493465655155408000245345729152117241404139551703169 m: 100000000000000000000000000000000000000000 deg: 5 c5: 718 c0: -7 skew: 0.40 # Murphy_E = 5.892e-12 type: snfs lss: 1 rlim: 20000000 alim: 20000000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 20000000/20000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 56/56 Sieved special-q in [100000, 51600000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 10586102 hash collisions in 63483883 relations (54897175 unique) Msieve: matrix is 2619817 x 2620045 (911.1 MB) Sieving start time : 2021/10/19 03:01:09 Sieving end time : 2021/10/19 22:26:57 Total sieving time: 19hrs 25min 48secs. Total relation processing time: 2hrs 17min 34sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 10min 34sec. Prototype def-par.txt line would be: snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118347] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16239960K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487276K reserved, 0K cma-reserved) [ 0.154098] x86/mm: Memory block size: 128MB [ 0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.48 BogoMIPS (lpj=12798968) [ 0.150212] smpboot: Total of 16 processors activated (102391.74 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 00:09:59 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 59 秒 (日本時間)
4511e6585 / 4409CypJune 9, 2015 09:22:01 UTC 2015 年 6 月 9 日 (火) 18 時 22 分 1 秒 (日本時間)

## 718×10207-79

### c200

name 名前 Bob Backstrom August 6, 2017 17:36:44 UTC 2017 年 8 月 7 日 (月) 2 時 36 分 44 秒 (日本時間) `22379951111780406303098196083188272778743676363210037525571493833908582438100635783219418442403443460544087138653453899365260222424758099176877220832193951865795931828823284456672454498244242605070219<200>` ```2918292296449159186234600291469814887496879052970722814805582777170365717241796183356312228215157989<100> 7668851793568203653355135618928810908657568816139345034354366280876931768398514204050200377203377071<100>``` ```Number: n N=22379951111780406303098196083188272778743676363210037525571493833908582438100635783219418442403443460544087138653453899365260222424758099176877220832193951865795931828823284456672454498244242605070219 ( 200 digits) SNFS difficulty: 209 digits. Divisors found: Mon Aug 7 03:28:26 2017 prp100 factor: 2918292296449159186234600291469814887496879052970722814805582777170365717241796183356312228215157989 Mon Aug 7 03:28:26 2017 prp100 factor: 7668851793568203653355135618928810908657568816139345034354366280876931768398514204050200377203377071 Mon Aug 7 03:28:26 2017 elapsed time 14:06:46 (Msieve 1.44 - dependency 1) Version: GGNFS-0.77.1-20060513-nocona Total time: 0.00 hours. Scaled time: 0.00 units (timescale=3.820). Factorization parameters were as follows: # # 718x10^207-7 797(207) # n: 22379951111780406303098196083188272778743676363210037525571493833908582438100635783219418442403443460544087138653453899365260222424758099176877220832193951865795931828823284456672454498244242605070219 m: 100000000000000000000000000000000000000000 deg: 5 c5: 71800 c0: -7 skew: 0.16 # Murphy_E = 4.277e-12 type: snfs lss: 1 rlim: 22000000 alim: 22000000 lpbr: 29 lpba: 29 mfbr: 57 mfba: 57 rlambda: 2.6 alambda: 2.6 Factor base limits: 22000000/22000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 57/57 Sieved special-q in [100000, 16600000) Primes: RFBsize:1389261, AFBsize:1389386, Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 9644475 hash collisions in 58421185 relations (50510706 unique) Msieve: matrix is 3381371 x 3381596 (965.7 MB) Total sieving time: 0.00 hours. Total relation processing time: 13hrs 46min 24sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 6min 9sec. Prototype def-par.txt line would be: snfs,209,5,0,0,0,0,0,0,0,0,22000000,22000000,29,29,57,57,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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 00:09:59 UTC 2015 年 1 月 9 日 (金) 9 時 9 分 59 秒 (日本時間)
4511e6585 / 4409CypJuly 19, 2015 07:11:31 UTC 2015 年 7 月 19 日 (日) 16 時 11 分 31 秒 (日本時間)

## 718×10208-79

### c136

name 名前 Ignacio Santos February 6, 2015 17:12:04 UTC 2015 年 2 月 7 日 (土) 2 時 12 分 4 秒 (日本時間) `7637602978303009459486301205085333903321529794584097292383598505546369202491995013941227889868481076582433277825865084437322976299685241<136>` `2499070231902036229233612616830774161<37>` `3056177805971482661993395418253372743506814835759464327979289629679635239294171219110187169466386281<100>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3948943930 Step 1 took 10234ms Step 2 took 6141ms ********** Factor found in step 2: 2499070231902036229233612616830774161 Found probable prime factor of 37 digits: 2499070231902036229233612616830774161 Composite cofactor 3056177805971482661993395418253372743506814835759464327979289629679635239294171219110187169466386281 has 100 digits ``` `GMP-ECM 7.0`

### c100

name 名前 KTakahashi February 7, 2015 23:56:54 UTC 2015 年 2 月 8 日 (日) 8 時 56 分 54 秒 (日本時間) `3056177805971482661993395418253372743506814835759464327979289629679635239294171219110187169466386281<100>` ```291767922421069586661883354508288894989<39> 10474687486587063301646226996212284175411586746228632586324429<62>``` ```Number: 79777_208 N=3056177805971482661993395418253372743506814835759464327979289629679635239294171219110187169466386281 ( 100 digits) Divisors found: r1=291767922421069586661883354508288894989 (pp39) r2=10474687486587063301646226996212284175411586746228632586324429 (pp62) Version: Msieve v. 1.51 (SVN Official Release) Total time: 5.72 hours. Scaled time: 9.97 units (timescale=1.742). Factorization parameters were as follows: name: 79777_208 n: 3056177805971482661993395418253372743506814835759464327979289629679635239294171219110187169466386281 skew: 4506.82 # norm 1.19e+014 c5: 292500 c4: 1616158740 c3: -3756743690059 c2: -75186862687138162 c1: -3383577695917720616 c0: 318415350198416547512832 # alpha -6.49 Y1: 2704461793 Y0: -6365174958203431895 # Murphy_E 3.33e-009 # M 1212578056305993789884217050373019360612421895637578075526046270747431473450955443202593176276226692 type: gnfs rlim: 1800000 alim: 1800000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 1800000/1800000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved algebraic special-q in [900000, 1400001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 230179 x 230427 Polynomial selection time: 0.38 hours. Total sieving time: 5.12 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.17 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: gnfs,99,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000 total time: 5.72 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
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 00:10:00 UTC 2015 年 1 月 9 日 (金) 9 時 10 分 0 秒 (日本時間)
1CypJanuary 9, 2015 07:18:42 UTC 2015 年 1 月 9 日 (金) 16 時 18 分 42 秒 (日本時間)

## 718×10210-79

### c205

name 名前 Bob Backstrom July 15, 2020 05:31:08 UTC 2020 年 7 月 15 日 (水) 14 時 31 分 8 秒 (日本時間) `3158712950469256064281233922266564305010056167415411415916792391580840410423099877214492592072446128557567000206077424427341729553100056574836590166554402576936096038705161558246946163578367058995092605083<205>` ```13153738712733506180954953288678167698714919151385523567701427188299022125189663506201393367666999997<101> 240138033714434127211004883591766945716088181297688778252430814236469135456760517687008310049107040131639<105>``` ```Number: n N=3158712950469256064281233922266564305010056167415411415916792391580840410423099877214492592072446128557567000206077424427341729553100056574836590166554402576936096038705161558246946163578367058995092605083 ( 205 digits) SNFS difficulty: 212 digits. Divisors found: Wed Jul 15 14:56:41 2020 p101 factor: 13153738712733506180954953288678167698714919151385523567701427188299022125189663506201393367666999997 Wed Jul 15 14:56:41 2020 p105 factor: 240138033714434127211004883591766945716088181297688778252430814236469135456760517687008310049107040131639 Wed Jul 15 14:56:41 2020 elapsed time 05:00:40 (Msieve 1.54 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.124). Factorization parameters were as follows: # # N = 718x10^210-7 = 797(210) # n: 3158712950469256064281233922266564305010056167415411415916792391580840410423099877214492592072446128557567000206077424427341729553100056574836590166554402576936096038705161558246946163578367058995092605083 m: 100000000000000000000000000000000000 deg: 6 c6: 718 c0: -7 skew: 0.46 # Murphy_E = 3.786e-12 type: snfs lss: 1 rlim: 25000000 alim: 25000000 lpbr: 29 lpba: 29 mfbr: 57 mfba: 57 rlambda: 2.6 alambda: 2.6 Factor base limits: 25000000/25000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 57/57 Sieved special-q in [100000, 66900000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 9320958 hash collisions in 58848607 relations (51917928 unique) Msieve: matrix is 3295598 x 3295823 (1154.7 MB) Sieving start time: 2020/07/14 04:47:46 Sieving end time : 2020/07/15 09:55:09 Total sieving time: 29hrs 7min 23secs. Total relation processing time: 4hrs 22min 2sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 20min 19sec. Prototype def-par.txt line would be: snfs,212,6,0,0,0,0,0,0,0,0,25000000,25000000,29,29,57,57,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.149875] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1) [ 0.000000] Memory: 16283136K/16703460K available (12300K kernel code, 2481K rwdata, 4272K rodata, 2436K init, 2720K bss, 420324K reserved, 0K cma-reserved) [ 0.184729] x86/mm: Memory block size: 128MB [ 0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.29 BogoMIPS (lpj=11976592) [ 0.182226] smpboot: Total of 16 processors activated (95812.73 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 00:10:01 UTC 2015 年 1 月 9 日 (金) 9 時 10 分 1 秒 (日本時間)
4511e6585 / 4409CypJuly 18, 2015 08:30:55 UTC 2015 年 7 月 18 日 (土) 17 時 30 分 55 秒 (日本時間)

## 718×10214-79

### c196

composite cofactor 合成数の残り `1606074086618759479054716027417529705543076560513206494611874905250705664566460997530160514264244451574034003957134840659868949699849152365421196499307055319353168905086279557601161885115705827539<196>`

### 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 00:10:02 UTC 2015 年 1 月 9 日 (金) 9 時 10 分 2 秒 (日本時間)
4511e6585 / 4409CypJuly 18, 2015 06:21:56 UTC 2015 年 7 月 18 日 (土) 15 時 21 分 56 秒 (日本時間)

## 718×10215-79

### c183

name 名前 Serge Batalov January 9, 2015 03:56:12 UTC 2015 年 1 月 9 日 (金) 12 時 56 分 12 秒 (日本時間) `390948538318099189551749861201172399923354557779247198424395884689760435481273786345318741223844012837909851912940015462273377485188783177784685600010673963568445333987420820658783791<183>` ```150035487748120387378888857146919505681<39> 2605707117601561631454175036774294130973281035142298940791084722511732491630900271536072139765600780966839942767035922366748218950972673132757311<145>``` ```Input number is 390948538318099189551749861201172399923354557779247198424395884689760435481273786345318741223844012837909851912940015462273377485188783177784685600010673963568445333987420820658783791 (183 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=360306534 Step 1 took 16265ms Step 2 took 11485ms ********** Factor found in step 2: 150035487748120387378888857146919505681 Found probable prime factor of 39 digits: 150035487748120387378888857146919505681 Probable prime cofactor 2605707117601561631454175036774294130973281035142298940791084722511732491630900271536072139765600780966839942767035922366748218950972673132757311 has 145 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 00:10:03 UTC 2015 年 1 月 9 日 (金) 9 時 10 分 3 秒 (日本時間)
1CypJanuary 9, 2015 01:03:18 UTC 2015 年 1 月 9 日 (金) 10 時 3 分 18 秒 (日本時間)

## 718×10216-79

### c203

name 名前 Bob Backstrom August 9, 2020 05:14:27 UTC 2020 年 8 月 9 日 (日) 14 時 14 分 27 秒 (日本時間) `25988188470671566164580393571876284533038185325799869371795613347398404846548068669136039469169825729634669495216826117339600689287695949028352440879492434902068551505847921087779499315623061365324267357<203>` ```47242012658071322130255338482623242081<38> 550107563341323283239981321622926720787624420997791572410815747433097565632567585027983090155421645288287754550028041680244156936558244688808234057362052600187145597<165>``` ```GMP-ECM 6.2.3 [powered by GMP 6.1.2] [ECM] Input number is 25988188470671566164580393571876284533038185325799869371795613347398404846548068669136039469169825729634669495216826117339600689287695949028352440879492434902068551505847921087779499315623061365324267357 (203 digits) Using B1=12160000, B2=35134690510, polynomial Dickson(12), sigma=240103583 Step 1 took 66185ms Step 2 took 18919ms ********** Factor found in step 2: 47242012658071322130255338482623242081 Found probable prime factor of 38 digits: 47242012658071322130255338482623242081 Probable prime cofactor 550107563341323283239981321622926720787624420997791572410815747433097565632567585027983090155421645288287754550028041680244156936558244688808234057362052600187145597 has 165 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 00:10:04 UTC 2015 年 1 月 9 日 (金) 9 時 10 分 4 秒 (日本時間)
4511e6585 / 4409CypJuly 18, 2015 06:21:57 UTC 2015 年 7 月 18 日 (土) 15 時 21 分 57 秒 (日本時間)

## 718×10217-79

### c216

name 名前 Bob Backstrom December 12, 2017 03:45:38 UTC 2017 年 12 月 12 日 (火) 12 時 45 分 38 秒 (日本時間) `436182491950671283640119069315351436729238806876860458052366198894356357450944657068221857724318085171010266690966526942470080797035417046351983476095012453678391349249741813984569588724864832027215843508899823826013<216>` ```3969879870751388251069301006163561477617<40> 1225995718821109316727007374582258209422860631643434369363879023204806362925483<79> 89619374941754814561873254932850371141788729366293648700414009633470177112008391370677433744642183<98>``` ```Number: n N=436182491950671283640119069315351436729238806876860458052366198894356357450944657068221857724318085171010266690966526942470080797035417046351983476095012453678391349249741813984569588724864832027215843508899823826013 ( 216 digits) SNFS difficulty: 219 digits. Divisors found: Tue Dec 12 13:56:19 2017 found factor: 1225995718821109316727007374582258209422860631643434369363879023204806362925483 Tue Dec 12 14:07:27 2017 found factor: 1225995718821109316727007374582258209422860631643434369363879023204806362925483 Tue Dec 12 14:36:25 2017 p40 factor: 3969879870751388251069301006163561477617 Tue Dec 12 14:36:25 2017 p79 factor: 1225995718821109316727007374582258209422860631643434369363879023204806362925483 Tue Dec 12 14:36:25 2017 p98 factor: 89619374941754814561873254932850371141788729366293648700414009633470177112008391370677433744642183 Tue Dec 12 14:36:25 2017 elapsed time 07:19:06 (Msieve 1.53 - dependency 4) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=1.658). Factorization parameters were as follows: # # 718x10^217-7 797(217) # n: 436182491950671283640119069315351436729238806876860458052366198894356357450944657068221857724318085171010266690966526942470080797035417046351983476095012453678391349249741813984569588724864832027215843508899823826013 m: 1000000000000000000000000000000000000 deg: 6 c6: 7180 c0: -7 skew: 0.31 # Murphy_E = 2.317e-12 type: snfs lss: 1 rlim: 32000000 alim: 32000000 lpbr: 29 lpba: 29 mfbr: 58 mfba: 58 rlambda: 2.6 alambda: 2.6 Factor base limits: 32000000/32000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 58/58 Sieved special-q in [100000, 52800000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 14089931 hash collisions in 74906775 relations (61680087 unique) Msieve: matrix is 4038111 x 4038337 (1158.8 MB) Sieving start time: 2017/12/10 08:42:01 Sieving end time : 2017/12/12 07:08:40 Total sieving time: 46hrs 26min 39secs. Total relation processing time: 6hrs 1min 9sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 48min 13sec. Prototype def-par.txt line would be: snfs,219,6,0,0,0,0,0,0,0,0,32000000,32000000,29,29,58,58,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.068000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1) [ 0.000000] Memory: 16297376K/16703460K available (9294K kernel code, 2479K rwdata, 3996K rodata, 2324K init, 2384K bss, 406084K reserved, 0K cma-reserved) [ 0.100632] x86/mm: Memory block size: 128MB [ 0.008000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.77 BogoMIPS (lpj=11977548) [ 0.098232] smpboot: Total of 16 processors activated (95820.38 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:10:04 UTC 2015 年 1 月 9 日 (金) 9 時 10 分 4 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:09:09 UTC 2015 年 1 月 11 日 (日) 5 時 9 分 9 秒 (日本時間)

## 718×10218-79

### c218

name 名前 Serge Batalov January 10, 2015 21:12:27 UTC 2015 年 1 月 11 日 (日) 6 時 12 分 27 秒 (日本時間) `16314473983185639627357418768461713246989320608952510793001590547602817541467848216314473983185639627357418768461713246989320608952510793001590547602817541467848216314473983185639627357418768461713246989320608952510793<218>` `2066767403912007076444943063544063929<37>` `7893715544528798237149140731477526868876762849797797162164576141758611049080289397915551851313284184758548834543135365198989492353236702200213503024675753374167801927439231454656017<181>` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3814707924 Step 1 took 21774ms Step 2 took 13904ms ********** Factor found in step 2: 2066767403912007076444943063544063929 Found probable prime factor of 37 digits: 2066767403912007076444943063544063929 Composite cofactor ```

### c181

name 名前 Erik Branger February 8, 2020 12:29:37 UTC 2020 年 2 月 8 日 (土) 21 時 29 分 37 秒 (日本時間) `7893715544528798237149140731477526868876762849797797162164576141758611049080289397915551851313284184758548834543135365198989492353236702200213503024675753374167801927439231454656017<181>` ```23541013963002487769900236447469902921949941833209<50> 335317567753653859221283139587296627703040084136261522321166351345329723355295852154221163171904335027376863491233255797092499242713<132>``` ```Number: 79777_218 N = 7893715544528798237149140731477526868876762849797797162164576141758611049080289397915551851313284184758548834543135365198989492353236702200213503024675753374167801927439231454656017 (181 digits) SNFS difficulty: 223 digits. Divisors found: r1=23541013963002487769900236447469902921949941833209 (pp50) r2=335317567753653859221283139587296627703040084136261522321166351345329723355295852154221163171904335027376863491233255797092499242713 (pp132) Version: Msieve v. 1.52 (SVN unknown) Total time: 84.30 hours. Factorization parameters were as follows: n: 7893715544528798237149140731477526868876762849797797162164576141758611049080289397915551851313284184758548834543135365198989492353236702200213503024675753374167801927439231454656017 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 359 c0: -350 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 80000000 lpbr: 29 lpba: 28 mfbr: 58 mfba: 56 rlambda: 2.8 alambda: 2.8 side: 1 Factor base limits: 536870912/80000000 Large primes per side: 3 Large prime bits: 29/28 Relations: 8517868 relations Pruned matrix : 7350056 x 7350281 Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G relations. Total batch smoothness checking time: 45.24 hours. Total relation processing time: 0.42 hours. Matrix solve time: 37.84 hours. time per square root: 0.80 hours. Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,80000000,29,28,58,56,2.8,2.8,100000 total time: 84.30 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-10-10.0.17763-SP0 processors: 8, speed: 3.50GHz``` `GGNFS, NFS_factory, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:10:05 UTC 2015 年 1 月 9 日 (金) 9 時 10 分 5 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:09:10 UTC 2015 年 1 月 11 日 (日) 5 時 9 分 10 秒 (日本時間)

## 718×10219-79

### c200

name 名前 Erik Branger February 13, 2020 18:33:47 UTC 2020 年 2 月 14 日 (金) 3 時 33 分 47 秒 (日本時間) `12757706727519989321975687508234939292825695230920703837919257929225020034382315030417363609150940995101440132031294066133728959925578138943034366720977437342394423274331966242605327898643238418977187<200>` ```3840001079707034770996997410954332414907506957623968671051638095169594736216109808611230186661<94> 3322318526143048149821901522334560013803438184245308492077036281193225856966740602575812006861008027916967<106>``` ```Number: 79777_219 N = 12757706727519989321975687508234939292825695230920703837919257929225020034382315030417363609150940995101440132031294066133728959925578138943034366720977437342394423274331966242605327898643238418977187 (200 digits) SNFS difficulty: 223 digits. Divisors found: r1=3840001079707034770996997410954332414907506957623968671051638095169594736216109808611230186661 (pp94) r2=3322318526143048149821901522334560013803438184245308492077036281193225856966740602575812006861008027916967 (pp106) Version: Msieve v. 1.52 (SVN unknown) Total time: 98.04 hours. Factorization parameters were as follows: n: 12757706727519989321975687508234939292825695230920703837919257929225020034382315030417363609150940995101440132031294066133728959925578138943034366720977437342394423274331966242605327898643238418977187 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 359 c0: -35 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 80000000 lpbr: 29 lpba: 28 mfbr: 58 mfba: 56 rlambda: 2.8 alambda: 2.8 side: 1 Factor base limits: 536870912/80000000 Large primes per side: 3 Large prime bits: 29/28 Relations: 8076006 relations Pruned matrix : submatrix x not Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G relations. Total batch smoothness checking time: 43.76 hours. Total relation processing time: 0.43 hours. Matrix solve time: 53.60 hours. time per square root: 0.25 hours. Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,80000000,29,28,58,56,2.8,2.8,100000 total time: 98.04 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-10-10.0.17763-SP0 processors: 8, speed: 3.50GHz``` `GGNFS, NFS_factory, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:10:05 UTC 2015 年 1 月 9 日 (金) 9 時 10 分 5 秒 (日本時間)
4511e6585 / 4409CypMay 13, 2015 06:43:35 UTC 2015 年 5 月 13 日 (水) 15 時 43 分 35 秒 (日本時間)

## 718×10221-79

### c162

name 名前 Cyp July 1, 2015 12:41:19 UTC 2015 年 7 月 1 日 (水) 21 時 41 分 19 秒 (日本時間) `970716772625209387428540536105544648908236229043635935239362586189883143396601420594060508486497691582583762062132867452502816310773174521380549894070746297605267<162>` ```21243783481629166569194923976061617759842783<44> 45694156761889854980979000469056988480871337958290519678971028967303514349761814568825254228437007338052126176603878349<119>``` ```Run 380 out of 585: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3183892557 Step 1 took 50440ms Step 2 took 16913ms ********** Factor found in step 2: 21243783481629166569194923976061617759842783 Found probable prime factor of 44 digits: 21243783481629166569194923976061617759842783 Probable prime cofactor 45694156761889854980979000469056988480871337958290519678971028967303514349761814568825254228437007338052126176603878349 has 119 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 / 1007300Serge BatalovJanuary 9, 2015 00:10:06 UTC 2015 年 1 月 9 日 (金) 9 時 10 分 6 秒 (日本時間)
1CypJanuary 9, 2015 00:52:20 UTC 2015 年 1 月 9 日 (金) 9 時 52 分 20 秒 (日本時間)
4511e6380 / 4409CypJuly 1, 2015 12:41:19 UTC 2015 年 7 月 1 日 (水) 21 時 41 分 19 秒 (日本時間)

## 718×10222-79

### c186

name 名前 Cyp July 18, 2015 06:21:59 UTC 2015 年 7 月 18 日 (土) 15 時 21 分 59 秒 (日本時間) `282781598875845258092455358382835183312724113468989587287415123473792436602663335566745637457122034812457310300648925241057507012249572222061403067250007052888561588514344754349740507821<186>` `2062760421211371587503355752128116126617<40>` `137088920248808940759845847921845029242609846491382593407376856524981160380236632944479098736156359257455432358667287699149020877192242064474895413<147>` ```Run 540 out of 585: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3897134082 Step 1 took 55104ms Step 2 took 19229ms ********** Factor found in step 2: 2062760421211371587503355752128116126617 Found probable prime factor of 40 digits: 2062760421211371587503355752128116126617 Composite cofactor 137088920248808940759845847921845029242609846491382593407376856524981160380236632944479098736156359257455432358667287699149020877192242064474895413 has 147 digits``` `GMP-ECM 6.4.4` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### c147

name 名前 Erik Branger May 29, 2019 16:19:33 UTC 2019 年 5 月 30 日 (木) 1 時 19 分 33 秒 (日本時間) `137088920248808940759845847921845029242609846491382593407376856524981160380236632944479098736156359257455432358667287699149020877192242064474895413<147>` ```341134351378503098127036744611070084459156478622186521<54> 401861963460557340854280775672502673671035004894580019391358836056371748745958668305842633853<93>``` ```Number: 79777_222 N = 137088920248808940759845847921845029242609846491382593407376856524981160380236632944479098736156359257455432358667287699149020877192242064474895413 (147 digits) SNFS difficulty: 225 digits. Divisors found: r1=341134351378503098127036744611070084459156478622186521 (pp54) r2=401861963460557340854280775672502673671035004894580019391358836056371748745958668305842633853 (pp93) Version: Msieve v. 1.52 (SVN unknown) Total time: 93.39 hours. Factorization parameters were as follows: n: 137088920248808940759845847921845029242609846491382593407376856524981160380236632944479098736156359257455432358667287699149020877192242064474895413 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 71800 c0: -7 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 22369621 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: 536870912/22369621 Large primes per side: 3 Large prime bits: 29/28 Total raw relations: 32563105 Relations: 11916938 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 34.19 hours. Total relation processing time: 0.39 hours. Pruned matrix : 10144131 x 10144356 Matrix solve time: 58.13 hours. time per square root: 0.68 hours. Prototype def-par.txt line would be: snfs,225,4,0,0,0,0,0,0,0,0,536870912,22369621,29,28,58,56,2.8,2.8,100000 total time: 93.39 hours. Intel64 Family 6 Model 158 Stepping 10, GenuineIntel Windows-10-10.0.17763-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)
403e6301300Serge BatalovJanuary 9, 2015 00:10:07 UTC 2015 年 1 月 9 日 (金) 9 時 10 分 7 秒 (日本時間)
1CypJanuary 9, 2015 01:01:58 UTC 2015 年 1 月 9 日 (金) 10 時 1 分 58 秒 (日本時間)
4511e61490 / 2935585CypJuly 18, 2015 06:21:59 UTC 2015 年 7 月 18 日 (土) 15 時 21 分 59 秒 (日本時間)
800Dmitry DomanovMarch 1, 2016 13:19:23 UTC 2016 年 3 月 1 日 (火) 22 時 19 分 23 秒 (日本時間)
105Rich DickersonOctober 12, 2016 15:38:17 UTC 2016 年 10 月 13 日 (木) 0 時 38 分 17 秒 (日本時間)
5043e6420 / 7207Rich DickersonOctober 12, 2016 21:51:35 UTC 2016 年 10 月 13 日 (木) 6 時 51 分 35 秒 (日本時間)

## 718×10223-79

### c197

name 名前 Serge Batalov January 9, 2015 03:56:17 UTC 2015 年 1 月 9 日 (金) 12 時 56 分 17 秒 (日本時間) `44652584849495212037309781634725320168797308745959274637182341309797612462778707045993801724757362535989287381169814505619261611338635751010555662391864896761501426379081167615901721216619955252423<197>` `896168292996905560415801191541551<33>` `49826115472319434025495239877755687121244451495532052431800218872443035429275663811988088233049454022182475000276769587227228154801932422335049353312667202467959273<164>` ```Input number is 44652584849495212037309781634725320168797308745959274637182341309797612462778707045993801724757362535989287381169814505619261611338635751010555662391864896761501426379081167615901721216619955252423 (197 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3434765529 Step 1 took 18964ms Step 2 took 12703ms ********** Factor found in step 2: 896168292996905560415801191541551 Found probable prime factor of 33 digits: 896168292996905560415801191541551 Composite cofactor 49826115472319434025495239877755687121244451495532052431800218872443035429275663811988088233049454022182475000276769587227228154801932422335049353312667202467959273 has 164 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 00:10:07 UTC 2015 年 1 月 9 日 (金) 9 時 10 分 7 秒 (日本時間)
4511e6585 / 4409CypJune 6, 2015 20:23:15 UTC 2015 年 6 月 7 日 (日) 5 時 23 分 15 秒 (日本時間)

## 718×10224-79

### c211

name 名前 Bob Backstrom May 17, 2020 23:14:50 UTC 2020 年 5 月 18 日 (月) 8 時 14 分 50 秒 (日本時間) `1035701621426122836272609435738642563757704852946337165812388848744095846323430103295020632977569011152258086308558191594604533314813584611305993288844681899719404501277427728806291566348735736439063820396379269<211>` ```62399799171498865144599978425287604287624533677<47> 142441339082283983118577643300127412530014588732868709732955138510593<69> 116524008550824314513320733646204669676063461737415677715705750492041129991866477360773781231929<96>``` ```GMP-ECM 6.2.3 [powered by GMP 6.1.2] [ECM] Input number is 1035701621426122836272609435738642563757704852946337165812388848744095846323430103295020632977569011152258086308558191594604533314813584611305993288844681899719404501277427728806291566348735736439063820396379269 (211 digits) Using B1=800080000, B2=15892582605916, polynomial Dickson(30), sigma=1164542120 Step 1 took 4495982ms Step 2 took 842389ms ********** Factor found in step 2: 62399799171498865144599978425287604287624533677 Found probable prime factor of 47 digits: 62399799171498865144599978425287604287624533677 Composite cofactor 16597835813214924465539563490269124043667469942923739783612716708331292987510665554059873146460377991387465548775170754545151918206179150221138694360897481756323897 has 164 digits Number: n N=16597835813214924465539563490269124043667469942923739783612716708331292987510665554059873146460377991387465548775170754545151918206179150221138694360897481756323897 ( 164 digits) SNFS difficulty: 226 digits. Divisors found: Mon May 18 09:03:17 2020 p69 factor: 142441339082283983118577643300127412530014588732868709732955138510593 Mon May 18 09:03:17 2020 p96 factor: 116524008550824314513320733646204669676063461737415677715705750492041129991866477360773781231929 Mon May 18 09:03:17 2020 elapsed time 54:15:30 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.120). Factorization parameters were as follows: # # N = 718x10^224-7 = 797(224) # # Found probable prime factor of 47 digits: 62399799171498865144599978425287604287624533677 # Composite cofactor 16597835813214924465539563490269124043667469942923739783612716708331292987510665554059873146460377991387465548775170754545151918206179150221138694360897481756323897 has 164 digits # # n: 1035701621426122836272609435738642563757704852946337165812388848744095846323430103295020632977569011152258086308558191594604533314813584611305993288844681899719404501277427728806291566348735736439063820396379269 # n: 16597835813214924465539563490269124043667469942923739783612716708331292987510665554059873146460377991387465548775170754545151918206179150221138694360897481756323897 m: 10000000000000000000000000000000000000 deg: 6 c6: 71800 c0: -7 skew: 0.21 # Murphy_E = 7.542e-13 type: snfs lss: 1 rlim: 42000000 alim: 42000000 lpbr: 30 lpba: 30 mfbr: 59 mfba: 59 rlambda: 2.7 alambda: 2.7 Factor base limits: 42000000/42000000 Large primes per side: 3 Large prime bits: 30/30 Max factor residue bits: 59/59 Sieved special-q in [100000, 176235799) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 16109072 hash collisions in 91596204 relations (77237875 unique) Msieve: matrix is 9602730 x 9602955 (3395.3 MB) Sieving start time: 2020/05/11 19:08:25 Sieving end time : 2020/05/16 02:44:58 Total sieving time: 103hrs 36min 33secs. Total relation processing time: 52hrs 37min 15sec. Matrix solve time: 0.00 hours. Total square root time: 1hrs 3min 29sec. Prototype def-par.txt line would be: snfs,226,6,0,0,0,0,0,0,0,0,42000000,42000000,30,30,59,59,2.7,2.7,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.149449] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1) [ 0.000000] Memory: 16283224K/16703460K available (12300K kernel code, 2481K rwdata, 4268K rodata, 2432K init, 2712K bss, 420236K reserved, 0K cma-reserved) [ 0.184573] x86/mm: Memory block size: 128MB [ 0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.29 BogoMIPS (lpj=11976580) [ 0.182230] smpboot: Total of 16 processors activated (95812.64 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 00:10:08 UTC 2015 年 1 月 9 日 (金) 9 時 10 分 8 秒 (日本時間)
4511e6585 / 4409CypJuly 18, 2015 06:21:57 UTC 2015 年 7 月 18 日 (土) 15 時 21 分 57 秒 (日本時間)

## 718×10226-79

### c206

name 名前 Serge Batalov January 9, 2015 01:59:23 UTC 2015 年 1 月 9 日 (金) 10 時 59 分 23 秒 (日本時間) `54732823951603636539791217851600566884536405088348555161003019891673101707706188166622708131572761000152234145975002736480548433072986822132247715066253458084787540167142073263135375146851885396768611294173<206>` ```77073559604738174267666720941<29> 358285128359871915831286578138722551<36> 1982045669902793623295417963005429899426670649237624956696618081721158008462357980806322722715690327073856476359557539948837431612686508719703<142>``` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4133914408 Step 1 took 16149ms ********** Factor found in step 1: 77073559604738174267666720941 Found probable prime factor of 29 digits: 77073559604738174267666720941 Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1789329060 Step 1 took 16189ms Step 2 took 11060ms ********** Factor found in step 2: 358285128359871915831286578138722551 Found probable prime factor of 36 digits: 358285128359871915831286578138722551```

### 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 00:10:08 UTC 2015 年 1 月 9 日 (金) 9 時 10 分 8 秒 (日本時間)
1CypJanuary 9, 2015 00:25:03 UTC 2015 年 1 月 9 日 (金) 9 時 25 分 3 秒 (日本時間)

## 718×10227-79

### c224

name 名前 Bob Backstrom October 15, 2018 05:45:10 UTC 2018 年 10 月 15 日 (月) 14 時 45 分 10 秒 (日本時間) `44298100302498030338646020543706739172415239780434429865557116477474292603142697260736273912799374644088208746468645520801906669208563229985495148494265617085493482688265383872653450038467779301681785398531746252090740771589<224>` ```3763348362306290267916284076045656862806554177214892189584996407969620098719<76> 11770927386416827769567319388225556154890101277031854971182982532991180458305296692375027208947781569784847206614869877741064966363459567997958432731<149>``` ```Number: n N=44298100302498030338646020543706739172415239780434429865557116477474292603142697260736273912799374644088208746468645520801906669208563229985495148494265617085493482688265383872653450038467779301681785398531746252090740771589 ( 224 digits) SNFS difficulty: 230 digits. Divisors found: Mon Oct 15 16:36:47 2018 p76 factor: 3763348362306290267916284076045656862806554177214892189584996407969620098719 Mon Oct 15 16:36:47 2018 p149 factor: 11770927386416827769567319388225556154890101277031854971182982532991180458305296692375027208947781569784847206614869877741064966363459567997958432731 Mon Oct 15 16:36:47 2018 elapsed time 23:43:47 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.125). Factorization parameters were as follows: # # N = 718x10^227-7 = 797(227) # n: 44298100302498030338646020543706739172415239780434429865557116477474292603142697260736273912799374644088208746468645520801906669208563229985495148494265617085493482688265383872653450038467779301681785398531746252090740771589 m: 100000000000000000000000000000000000000 deg: 6 c6: 359 c0: -35 skew: 0.68 # Murphy_E = 1.004e-12 type: snfs lss: 1 rlim: 49000000 alim: 49000000 lpbr: 30 lpba: 30 mfbr: 59 mfba: 59 rlambda: 2.7 alambda: 2.7 Factor base limits: 49000000/49000000 Large primes per side: 3 Large prime bits: 30/30 Max factor residue bits: 59/59 Sieved special-q in [100000, 78900000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 17599487 hash collisions in 104256020 relations (89149035 unique) Msieve: matrix is 6699912 x 6700137 (2365.9 MB) Sieving start time: 2018/10/13 02:32:22 Sieving end time : 2018/10/14 16:48:03 Total sieving time: 38hrs 15min 41secs. Total relation processing time: 22hrs 33min 26sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 31min 39sec. Prototype def-par.txt line would be: snfs,230,6,0,0,0,0,0,0,0,0,49000000,49000000,30,30,59,59,2.7,2.7,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.044000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1) [ 0.000000] Memory: 16285120K/16703460K available (12300K kernel code, 2472K rwdata, 4248K rodata, 2408K init, 2416K bss, 418340K reserved, 0K cma-reserved) [ 0.076570] x86/mm: Memory block size: 128MB [ 0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5989.19 BogoMIPS (lpj=11978392) [ 0.074211] smpboot: Total of 16 processors activated (95827.13 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)
403e62401300Serge BatalovJanuary 9, 2015 00:10:09 UTC 2015 年 1 月 9 日 (金) 9 時 10 分 9 秒 (日本時間)
1CypJanuary 9, 2015 00:20:29 UTC 2015 年 1 月 9 日 (金) 9 時 20 分 29 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 08:39:56 UTC 2015 年 1 月 10 日 (土) 17 時 39 分 56 秒 (日本時間)

## 718×10228-79

### c225

name 名前 Cyp January 8, 2015 19:46:08 UTC 2015 年 1 月 9 日 (金) 4 時 46 分 8 秒 (日本時間) `252612409883689224814138132546927680726060136530322812624569054839058100502445379602920030580878366420985265800677550109963800430566945982811801291841569096002918764000550258786988983213940546015742889822640052999350173926107<225>` `2028843619404643580797162916489<31>` `124510537661753039728837952462767873221161448075626539708613470128894936817294832048341954166847205078585506005065364039513554536730014484042399408911734417963802158358945030557070795921855805763<195>` ```Run 8 out of 281: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1282447420 Step 1 took 21755ms Step 2 took 7006ms ********** Factor found in step 2: 2028843619404643580797162916489 Found probable prime factor of 31 digits: 2028843619404643580797162916489 Composite cofactor 124510537661753039728837952462767873221161448075626539708613470128894936817294832048341954166847205078585506005065364039513554536730014484042399408911734417963802158358945030557070795921855805763 has 195 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)
403e6281CypJanuary 8, 2015 19:46:08 UTC 2015 年 1 月 9 日 (金) 4 時 46 分 8 秒 (日本時間)
4511e6591 / 4413CypJuly 18, 2015 06:21:58 UTC 2015 年 7 月 18 日 (土) 15 時 21 分 58 秒 (日本時間)

## 718×10229-79

### c171

composite cofactor 合成数の残り `193188775533076542107364308689552513863553414526852571080308443869576518347075832028915690458870038895209019012562687248874642012624144473771151399197406541759690513154543<171>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:10:10 UTC 2015 年 1 月 9 日 (金) 9 時 10 分 10 秒 (日本時間)
1CypJanuary 9, 2015 00:55:06 UTC 2015 年 1 月 9 日 (金) 9 時 55 分 6 秒 (日本時間)
4511e6585 / 4409CypJuly 18, 2015 07:47:29 UTC 2015 年 7 月 18 日 (土) 16 時 47 分 29 秒 (日本時間)

## 718×10231-79

### c209

composite cofactor 合成数の残り `41409254147500154536295356690101089076031161647876811035154791258541194532008373474562546045344549620544857042940686083888917849121229962059017766171879728995064263411483946150597235851802168136005731098849307<209>`

### 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 00:10:10 UTC 2015 年 1 月 9 日 (金) 9 時 10 分 10 秒 (日本時間)
4511e6585 / 4409CypFebruary 6, 2015 05:41:57 UTC 2015 年 2 月 6 日 (金) 14 時 41 分 57 秒 (日本時間)

## 718×10232-79

### c228

composite cofactor 合成数の残り `195242866762433564739638606541326728577146398240899840110232273477281711336902144519912066746085373723263250117723562803797424811849643087609852324876190053539781726632739547565717103799945565853665036279958801035853143754141263<228>`

### 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 00:10:11 UTC 2015 年 1 月 9 日 (金) 9 時 10 分 11 秒 (日本時間)
4511e6585 / 4409CypJune 12, 2015 09:06:44 UTC 2015 年 6 月 12 日 (金) 18 時 6 分 44 秒 (日本時間)

## 718×10233-79

### c204

name 名前 Serge Batalov January 9, 2015 03:56:21 UTC 2015 年 1 月 9 日 (金) 12 時 56 分 21 秒 (日本時間) `143044359422603395628308862127070065646883902773921045810884438846085325538184671818163186842426600517680771414870019302467299699927886435563513405992822849474355537764430509809596887053430125050775202607<204>` ```109914443013700408858558928181823279573<39> 1301415496458217699669977228837770606622264993482524185388641054480787934925337373421805587248094988418275730238936905666390733134549230748433683917524638356051068659<166>``` ```Input number is 143044359422603395628308862127070065646883902773921045810884438846085325538184671818163186842426600517680771414870019302467299699927886435563513405992822849474355537764430509809596887053430125050775202607 (204 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2612437098 Step 1 took 16123ms Step 2 took 11102ms ********** Factor found in step 2: 109914443013700408858558928181823279573 Found probable prime factor of 39 digits: 109914443013700408858558928181823279573 Probable prime cofactor 1301415496458217699669977228837770606622264993482524185388641054480787934925337373421805587248094988418275730238936905666390733134549230748433683917524638356051068659 has 166 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 00:10:11 UTC 2015 年 1 月 9 日 (金) 9 時 10 分 11 秒 (日本時間)
1CypJanuary 9, 2015 00:56:16 UTC 2015 年 1 月 9 日 (金) 9 時 56 分 16 秒 (日本時間)

## 718×10234-79

### c111

name 名前 Cyp January 10, 2015 07:40:22 UTC 2015 年 1 月 10 日 (土) 16 時 40 分 22 秒 (日本時間) `167759677117475311993150850443392781480823763078348097254028722870837218309679965054946590267887198615858244377<111>` ```5340193721476403426205037314960257195705730908651<49> 31414530233763653039051261476033769616010090404972711688290827<62>``` ```01/10/15 06:53:19 v1.34.3, 01/10/15 06:53:19 v1.34.3, **************************** 01/10/15 06:53:19 v1.34.3, Starting factorization of 167759677117475311993150850443392781480823763078348097254028722870837218309679965054946590267887198615858244377 01/10/15 06:53:19 v1.34.3, using pretesting plan: none 01/10/15 06:53:19 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 01/10/15 06:53:19 v1.34.3, **************************** 01/10/15 06:53:19 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C111 01/10/15 06:53:19 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C111 01/10/15 06:53:19 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C111 01/10/15 06:53:19 v1.34.3, final ECM pretested depth: 0.00 01/10/15 06:53:19 v1.34.3, scheduler: switching to sieve method 01/10/15 06:53:19 v1.34.3, nfs: commencing nfs on c111: 167759677117475311993150850443392781480823763078348097254028722870837218309679965054946590267887198615858244377 01/10/15 06:53:19 v1.34.3, nfs: commencing poly selection with 8 threads 01/10/15 06:53:19 v1.34.3, nfs: setting deadline of 500 seconds 01/10/15 07:01:44 v1.34.3, nfs: completed 150 ranges of size 250 in 505.5437 seconds 01/10/15 07:01:44 v1.34.3, nfs: best poly = # norm 1.812752e-10 alpha -5.583209 e 9.693e-10 rroots 5 01/10/15 07:01:44 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/10/15 07:06:44 v1.34.3, nfs: commencing lattice sieving with 8 threads [10 lines snipped] 01/10/15 08:03:56 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/10/15 08:09:09 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/10/15 08:14:32 v1.34.3, nfs: commencing msieve filtering 01/10/15 08:15:18 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/10/15 08:20:50 v1.34.3, nfs: commencing msieve filtering 01/10/15 08:21:40 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/10/15 08:26:54 v1.34.3, nfs: commencing msieve filtering 01/10/15 08:27:49 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/10/15 08:33:08 v1.34.3, nfs: commencing msieve filtering 01/10/15 08:34:15 v1.34.3, nfs: commencing msieve linear algebra 01/10/15 08:38:32 v1.34.3, nfs: commencing msieve sqrt 01/10/15 08:40:21 v1.34.3, prp62 = 31414530233763653039051261476033769616010090404972711688290827 01/10/15 08:40:21 v1.34.3, prp49 = 5340193721476403426205037314960257195705730908651 01/10/15 08:40:21 v1.34.3, NFS elapsed time = 6422.2926 seconds. 01/10/15 08:40:21 v1.34.3, 01/10/15 08:40:21 v1.34.3, 01/10/15 08:40:21 v1.34.3, Total factoring time = 6422.3147 seconds -- Sat Jan 10 08:14:32 2015 Sat Jan 10 08:14:32 2015 commencing relation filtering Sat Jan 10 08:14:32 2015 estimated available RAM is 15987.3 MB Sat Jan 10 08:14:32 2015 commencing duplicate removal, pass 1 Sat Jan 10 08:14:47 2015 found 428430 hash collisions in 4688652 relations Sat Jan 10 08:14:52 2015 added 32959 free relations Sat Jan 10 08:14:52 2015 commencing duplicate removal, pass 2 Sat Jan 10 08:14:55 2015 found 171741 duplicates and 4549870 unique relations Sat Jan 10 08:14:55 2015 memory use: 20.6 MB Sat Jan 10 08:14:55 2015 reading ideals above 100000 Sat Jan 10 08:14:55 2015 commencing singleton removal, initial pass Sat Jan 10 08:15:16 2015 memory use: 172.2 MB Sat Jan 10 08:15:16 2015 reading all ideals from disk Sat Jan 10 08:15:16 2015 memory use: 153.4 MB Sat Jan 10 08:15:16 2015 keeping 5465404 ideals with weight <= 200, target excess is 24585 Sat Jan 10 08:15:16 2015 commencing in-memory singleton removal Sat Jan 10 08:15:16 2015 begin with 4549870 relations and 5465404 unique ideals Sat Jan 10 08:15:18 2015 reduce to 854295 relations and 1004843 ideals in 49 passes Sat Jan 10 08:15:18 2015 max relations containing the same ideal: 61 Sat Jan 10 08:20:50 2015 Sat Jan 10 08:20:50 2015 commencing relation filtering Sat Jan 10 08:20:50 2015 estimated available RAM is 15987.3 MB Sat Jan 10 08:20:50 2015 commencing duplicate removal, pass 1 Sat Jan 10 08:21:06 2015 found 489759 hash collisions in 5058918 relations Sat Jan 10 08:21:11 2015 added 82 free relations Sat Jan 10 08:21:11 2015 commencing duplicate removal, pass 2 Sat Jan 10 08:21:15 2015 found 195408 duplicates and 4863592 unique relations Sat Jan 10 08:21:15 2015 memory use: 20.6 MB Sat Jan 10 08:21:15 2015 reading ideals above 100000 Sat Jan 10 08:21:15 2015 commencing singleton removal, initial pass Sat Jan 10 08:21:37 2015 memory use: 172.2 MB Sat Jan 10 08:21:37 2015 reading all ideals from disk Sat Jan 10 08:21:37 2015 memory use: 164.0 MB Sat Jan 10 08:21:37 2015 keeping 5613858 ideals with weight <= 200, target excess is 25818 Sat Jan 10 08:21:38 2015 commencing in-memory singleton removal Sat Jan 10 08:21:38 2015 begin with 4863592 relations and 5613858 unique ideals Sat Jan 10 08:21:40 2015 reduce to 1387771 relations and 1463869 ideals in 30 passes Sat Jan 10 08:21:40 2015 max relations containing the same ideal: 83 Sat Jan 10 08:26:54 2015 Sat Jan 10 08:26:54 2015 commencing relation filtering Sat Jan 10 08:26:54 2015 estimated available RAM is 15987.3 MB Sat Jan 10 08:26:54 2015 commencing duplicate removal, pass 1 Sat Jan 10 08:27:13 2015 found 549695 hash collisions in 5393665 relations Sat Jan 10 08:27:18 2015 added 53 free relations Sat Jan 10 08:27:18 2015 commencing duplicate removal, pass 2 Sat Jan 10 08:27:23 2015 found 220228 duplicates and 5173490 unique relations Sat Jan 10 08:27:23 2015 memory use: 20.6 MB Sat Jan 10 08:27:23 2015 reading ideals above 100000 Sat Jan 10 08:27:23 2015 commencing singleton removal, initial pass Sat Jan 10 08:27:46 2015 memory use: 172.2 MB Sat Jan 10 08:27:46 2015 reading all ideals from disk Sat Jan 10 08:27:46 2015 memory use: 174.5 MB Sat Jan 10 08:27:46 2015 keeping 5748819 ideals with weight <= 200, target excess is 27157 Sat Jan 10 08:27:47 2015 commencing in-memory singleton removal Sat Jan 10 08:27:47 2015 begin with 5173490 relations and 5748819 unique ideals Sat Jan 10 08:27:49 2015 reduce to 1844625 relations and 1821561 ideals in 20 passes Sat Jan 10 08:27:49 2015 max relations containing the same ideal: 98 Sat Jan 10 08:33:08 2015 Sat Jan 10 08:33:08 2015 commencing relation filtering Sat Jan 10 08:33:08 2015 estimated available RAM is 15987.3 MB Sat Jan 10 08:33:08 2015 commencing duplicate removal, pass 1 Sat Jan 10 08:33:26 2015 found 613478 hash collisions in 5733625 relations Sat Jan 10 08:33:31 2015 added 39 free relations Sat Jan 10 08:33:31 2015 commencing duplicate removal, pass 2 Sat Jan 10 08:33:36 2015 found 246943 duplicates and 5486721 unique relations Sat Jan 10 08:33:36 2015 memory use: 20.6 MB Sat Jan 10 08:33:36 2015 reading ideals above 100000 Sat Jan 10 08:33:36 2015 commencing singleton removal, initial pass Sat Jan 10 08:33:59 2015 memory use: 172.2 MB Sat Jan 10 08:33:59 2015 reading all ideals from disk Sat Jan 10 08:33:59 2015 memory use: 185.1 MB Sat Jan 10 08:34:00 2015 keeping 5875287 ideals with weight <= 200, target excess is 28679 Sat Jan 10 08:34:00 2015 commencing in-memory singleton removal Sat Jan 10 08:34:00 2015 begin with 5486721 relations and 5875287 unique ideals Sat Jan 10 08:34:02 2015 reduce to 2286828 relations and 2143175 ideals in 20 passes Sat Jan 10 08:34:02 2015 max relations containing the same ideal: 112 Sat Jan 10 08:34:03 2015 removing 411763 relations and 356570 ideals in 55193 cliques Sat Jan 10 08:34:03 2015 commencing in-memory singleton removal Sat Jan 10 08:34:03 2015 begin with 1875065 relations and 2143175 unique ideals Sat Jan 10 08:34:03 2015 reduce to 1812157 relations and 1721753 ideals in 10 passes Sat Jan 10 08:34:03 2015 max relations containing the same ideal: 95 Sat Jan 10 08:34:04 2015 removing 313106 relations and 257913 ideals in 55193 cliques Sat Jan 10 08:34:04 2015 commencing in-memory singleton removal Sat Jan 10 08:34:04 2015 begin with 1499051 relations and 1721753 unique ideals Sat Jan 10 08:34:04 2015 reduce to 1452818 relations and 1416125 ideals in 10 passes Sat Jan 10 08:34:04 2015 max relations containing the same ideal: 83 Sat Jan 10 08:34:05 2015 relations with 0 large ideals: 85 Sat Jan 10 08:34:05 2015 relations with 1 large ideals: 192 Sat Jan 10 08:34:05 2015 relations with 2 large ideals: 2854 Sat Jan 10 08:34:05 2015 relations with 3 large ideals: 25520 Sat Jan 10 08:34:05 2015 relations with 4 large ideals: 115216 Sat Jan 10 08:34:05 2015 relations with 5 large ideals: 292964 Sat Jan 10 08:34:05 2015 relations with 6 large ideals: 427580 Sat Jan 10 08:34:05 2015 relations with 7+ large ideals: 588407 Sat Jan 10 08:34:05 2015 commencing 2-way merge Sat Jan 10 08:34:05 2015 reduce to 833614 relation sets and 796923 unique ideals Sat Jan 10 08:34:05 2015 ignored 2 oversize relation sets Sat Jan 10 08:34:05 2015 commencing full merge Sat Jan 10 08:34:12 2015 memory use: 90.2 MB Sat Jan 10 08:34:12 2015 found 405778 cycles, need 399123 Sat Jan 10 08:34:12 2015 weight of 399123 cycles is about 27971886 (70.08/cycle) Sat Jan 10 08:34:12 2015 distribution of cycle lengths: Sat Jan 10 08:34:12 2015 1 relations: 43744 Sat Jan 10 08:34:12 2015 2 relations: 42388 Sat Jan 10 08:34:12 2015 3 relations: 43122 Sat Jan 10 08:34:12 2015 4 relations: 39909 Sat Jan 10 08:34:12 2015 5 relations: 37172 Sat Jan 10 08:34:12 2015 6 relations: 32250 Sat Jan 10 08:34:12 2015 7 relations: 28308 Sat Jan 10 08:34:12 2015 8 relations: 24815 Sat Jan 10 08:34:12 2015 9 relations: 21586 Sat Jan 10 08:34:12 2015 10+ relations: 85829 Sat Jan 10 08:34:12 2015 heaviest cycle: 22 relations Sat Jan 10 08:34:12 2015 commencing cycle optimization Sat Jan 10 08:34:13 2015 start with 2494599 relations Sat Jan 10 08:34:15 2015 pruned 53820 relations Sat Jan 10 08:34:15 2015 memory use: 83.1 MB Sat Jan 10 08:34:15 2015 distribution of cycle lengths: Sat Jan 10 08:34:15 2015 1 relations: 43744 Sat Jan 10 08:34:15 2015 2 relations: 43294 Sat Jan 10 08:34:15 2015 3 relations: 44452 Sat Jan 10 08:34:15 2015 4 relations: 40820 Sat Jan 10 08:34:15 2015 5 relations: 37935 Sat Jan 10 08:34:15 2015 6 relations: 32624 Sat Jan 10 08:34:15 2015 7 relations: 28749 Sat Jan 10 08:34:15 2015 8 relations: 24891 Sat Jan 10 08:34:15 2015 9 relations: 21484 Sat Jan 10 08:34:15 2015 10+ relations: 81130 Sat Jan 10 08:34:15 2015 heaviest cycle: 22 relations Sat Jan 10 08:34:15 2015 RelProcTime: 67 Sat Jan 10 08:34:15 2015 Sat Jan 10 08:34:15 2015 commencing linear algebra Sat Jan 10 08:34:15 2015 read 399123 cycles Sat Jan 10 08:34:15 2015 cycles contain 1392379 unique relations Sat Jan 10 08:34:22 2015 read 1392379 relations Sat Jan 10 08:34:23 2015 using 20 quadratic characters above 67108710 Sat Jan 10 08:34:27 2015 building initial matrix Sat Jan 10 08:34:34 2015 memory use: 171.6 MB Sat Jan 10 08:34:34 2015 read 399123 cycles Sat Jan 10 08:34:35 2015 matrix is 398944 x 399123 (119.3 MB) with weight 37453797 (93.84/col) Sat Jan 10 08:34:35 2015 sparse part has weight 26882617 (67.35/col) Sat Jan 10 08:34:36 2015 filtering completed in 2 passes Sat Jan 10 08:34:36 2015 matrix is 398123 x 398302 (119.2 MB) with weight 37417672 (93.94/col) Sat Jan 10 08:34:36 2015 sparse part has weight 26869518 (67.46/col) Sat Jan 10 08:34:37 2015 matrix starts at (0, 0) Sat Jan 10 08:34:37 2015 matrix is 398123 x 398302 (119.2 MB) with weight 37417672 (93.94/col) Sat Jan 10 08:34:37 2015 sparse part has weight 26869518 (67.46/col) Sat Jan 10 08:34:37 2015 saving the first 48 matrix rows for later Sat Jan 10 08:34:37 2015 matrix includes 64 packed rows Sat Jan 10 08:34:37 2015 matrix is 398075 x 398302 (114.4 MB) with weight 29654069 (74.45/col) Sat Jan 10 08:34:37 2015 sparse part has weight 26018469 (65.32/col) Sat Jan 10 08:34:37 2015 using block size 65536 for processor cache size 8192 kB Sat Jan 10 08:34:38 2015 commencing Lanczos iteration (8 threads) Sat Jan 10 08:34:38 2015 memory use: 109.3 MB Sat Jan 10 08:34:45 2015 linear algebra at 3.0%, ETA 0h 3m Sat Jan 10 08:38:32 2015 lanczos halted after 6299 iterations (dim = 398072) Sat Jan 10 08:38:32 2015 recovered 29 nontrivial dependencies Sat Jan 10 08:38:32 2015 BLanczosTime: 257 Sat Jan 10 08:38:32 2015 Sat Jan 10 08:38:32 2015 commencing square root phase Sat Jan 10 08:38:32 2015 reading relations for dependency 1 Sat Jan 10 08:38:32 2015 read 199205 cycles Sat Jan 10 08:38:32 2015 cycles contain 696912 unique relations Sat Jan 10 08:38:38 2015 read 696912 relations Sat Jan 10 08:38:39 2015 multiplying 696912 relations Sat Jan 10 08:38:59 2015 multiply complete, coefficients have about 29.83 million bits Sat Jan 10 08:38:59 2015 initial square root is modulo 367897921 Sat Jan 10 08:39:26 2015 GCD is N, no factor found Sat Jan 10 08:39:26 2015 reading relations for dependency 2 Sat Jan 10 08:39:26 2015 read 199084 cycles Sat Jan 10 08:39:27 2015 cycles contain 695602 unique relations Sat Jan 10 08:39:32 2015 read 695602 relations Sat Jan 10 08:39:33 2015 multiplying 695602 relations Sat Jan 10 08:39:53 2015 multiply complete, coefficients have about 29.77 million bits Sat Jan 10 08:39:53 2015 initial square root is modulo 354900907 Sat Jan 10 08:40:21 2015 sqrtTime: 109 -- n: 167759677117475311993150850443392781480823763078348097254028722870837218309679965054946590267887198615858244377 skew: 22639.43 c0: 3670175874226336590018475 c1: 2581803446685076814440 c2: -494740149737750862 c3: -45315170584396 c4: 841220075 c5: 5100 Y0: -2011051217521706119296 Y1: 49091576443 rlim: 3460000 alim: 3460000 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
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 9, 2015 23:05:13 UTC 2015 年 1 月 10 日 (土) 8 時 5 分 13 秒 (日本時間)
403e6110 / 2126Ignacio SantosJanuary 9, 2015 23:05:13 UTC 2015 年 1 月 10 日 (土) 8 時 5 分 13 秒 (日本時間)
4511e632 / 4437Ignacio SantosJanuary 9, 2015 23:05:13 UTC 2015 年 1 月 10 日 (土) 8 時 5 分 13 秒 (日本時間)

## 718×10235-79

### c233

name 名前 Serge Batalov January 9, 2015 21:38:40 UTC 2015 年 1 月 10 日 (土) 6 時 38 分 40 秒 (日本時間) `10795807377535999807539924188773262483967925325490585244025843779555026290347074682027386467350200654664976626625949331877854010010931130868340768607355884241278776916218219654083085616165443492669225784237219072192075155659604284041<233>` `98125109076746253749165631982092878222319191117194933<53>` `110020844604537582218864718676989578918876508897806839297802571316304350166611571573543771958392926578258367269508604588254684023470438565872692819807160053422189904951914898697477<180>` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3444899523 Step 1 took 23244ms Step 2 took 15528ms ********** Factor found in step 2: 98125109076746253749165631982092878222319191117194933 Found probable prime factor of 53 digits: 98125109076746253749165631982092878222319191117194933 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 00:10:12 UTC 2015 年 1 月 9 日 (金) 9 時 10 分 12 秒 (日本時間)
1CypJanuary 9, 2015 00:46:14 UTC 2015 年 1 月 9 日 (金) 9 時 46 分 14 秒 (日本時間)
2100Serge BatalovJanuary 9, 2015 21:35:07 UTC 2015 年 1 月 10 日 (土) 6 時 35 分 7 秒 (日本時間)

## 718×10236-79

### c222

composite cofactor 合成数の残り `224591847903010700540070019079493435524064261709574361611959656889286838228935388218576917346717168125431941389357071485004874683382607977982903725675540361307199554160862622509811707758023974925198080536263096957919636931<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 00:10:13 UTC 2015 年 1 月 9 日 (金) 9 時 10 分 13 秒 (日本時間)
4511e6585 / 4409CypJuly 1, 2015 05:25:13 UTC 2015 年 7 月 1 日 (水) 14 時 25 分 13 秒 (日本時間)

## 718×10240-79

### c183

composite cofactor 合成数の残り `136672392113646497712126493030997827989684247895754361247799315901538963128789260943057257147854519768979530367357890648814227279755004255311444343514215051050207621975577417594774297<183>`

### 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 00:10:14 UTC 2015 年 1 月 9 日 (金) 9 時 10 分 14 秒 (日本時間)
1CypJanuary 9, 2015 00:53:59 UTC 2015 年 1 月 9 日 (金) 9 時 53 分 59 秒 (日本時間)
4511e6585 / 4409CypJuly 5, 2015 06:15:48 UTC 2015 年 7 月 5 日 (日) 15 時 15 分 48 秒 (日本時間)

## 718×10241-79

### c236

composite cofactor 合成数の残り `14351073144567592042451465744956801540910301401577970848481235822956103323225440786166018007154937385678237023511317161340862497936958282091957211487909329807942246452670059832002460181683346781068384908261974171158417644838710397616529<236>`

### 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 00:10:15 UTC 2015 年 1 月 9 日 (金) 9 時 10 分 15 秒 (日本時間)
4511e6585 / 4409CypJuly 18, 2015 07:34:10 UTC 2015 年 7 月 18 日 (土) 16 時 34 分 10 秒 (日本時間)

## 718×10243-79

### c204

name 名前 Cyp February 3, 2015 21:00:16 UTC 2015 年 2 月 4 日 (水) 6 時 0 分 16 秒 (日本時間) `670131720865137337967373038760395820280388078333973935199823769681439880672036147730759061925178745520861714268898945125767330056813284754026673876077896515146315404737389167910087591318392029317687871971<204>` ```638154116201892661539708116993750526391<39> 1050109532872037339437324586944260771785604584942692548378458854891633335235576151900422747869853520869026496199609587213310679314923015353390315104671500316064387381<166>``` ```Run 353 out of 585: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4005184290 Step 1 took 68806ms Step 2 took 21156ms ********** Factor found in step 2: 638154116201892661539708116993750526391 Found probable prime factor of 39 digits: 638154116201892661539708116993750526391 Probable prime cofactor 1050109532872037339437324586944260771785604584942692548378458854891633335235576151900422747869853520869026496199609587213310679314923015353390315104671500316064387381 has 166 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 / 1100300Serge BatalovJanuary 9, 2015 00:10:15 UTC 2015 年 1 月 9 日 (金) 9 時 10 分 15 秒 (日本時間)
1CypJanuary 9, 2015 00:35:26 UTC 2015 年 1 月 9 日 (金) 9 時 35 分 26 秒 (日本時間)
4511e6353 / 4409CypFebruary 3, 2015 21:00:15 UTC 2015 年 2 月 4 日 (水) 6 時 0 分 15 秒 (日本時間)

## 718×10244-79

### c216

composite cofactor 合成数の残り `877137232788120244515838987517385312578364827883783397612871952647164401524549348934003420368214296772690624388417544524562825421889441272781193133347577767057139882295817615398173809250345640381267060553080551611891<216>`

### 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 00:10:16 UTC 2015 年 1 月 9 日 (金) 9 時 10 分 16 秒 (日本時間)
4511e6585 / 4409CypJune 16, 2015 06:05:35 UTC 2015 年 6 月 16 日 (火) 15 時 5 分 35 秒 (日本時間)

## 718×10246-79

### c247

name 名前 Cyp January 9, 2015 00:06:58 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 58 秒 (日本時間) `1855297157622739018087855297157622739018087855297157622739018087855297157622739018087855297157622739018087855297157622739018087855297157622739018087855297157622739018087855297157622739018087855297157622739018087855297157622739018087855297157622739<247>` `267098733805033605459653229136055639<36>` `6946109894242317974630720062838966133829982869100737961652309463375666206454429357915101346621179814878974162201406066112330071866395416359776197177575772039694341578178590552043667829265748449887654782322428901<211>` ```Run 118 out of 281: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3202359082 Step 1 took 24910ms Step 2 took 7739ms ********** Factor found in step 2: 267098733805033605459653229136055639 Found probable prime factor of 36 digits: 267098733805033605459653229136055639 Composite cofactor 6946109894242317974630720062838966133829982869100737961652309463375666206454429357915101346621179814878974162201406066112330071866395416359776197177575772039694341578178590552043667829265748449887654782322428901 has 211 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)
403e6281CypJanuary 9, 2015 00:06:58 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 58 秒 (日本時間)
4511e6591 / 4413CypJanuary 30, 2015 01:55:04 UTC 2015 年 1 月 30 日 (金) 10 時 55 分 4 秒 (日本時間)

## 718×10248-79

### c246

composite cofactor 合成数の残り `124456370068763011150805412985410177341660469848797643995846831996034036563825490675305810795116734181647365529052242208043209587647271926768346480987469427587366465075081165313766989247870981385279134144206451970761419911979185625462594620642077<246>`

### 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 00:10:17 UTC 2015 年 1 月 9 日 (金) 9 時 10 分 17 秒 (日本時間)
2100Serge BatalovJanuary 9, 2015 18:41:21 UTC 2015 年 1 月 10 日 (土) 3 時 41 分 21 秒 (日本時間)
4511e639502100Serge BatalovJanuary 9, 2015 20:57:07 UTC 2015 年 1 月 10 日 (土) 5 時 57 分 7 秒 (日本時間)
1850Serge BatalovMarch 18, 2015 21:38:06 UTC 2015 年 3 月 19 日 (木) 6 時 38 分 6 秒 (日本時間)

## 718×10249-79

### c215

composite cofactor 合成数の残り `17903510458334710957012072517465753173507511067802502941757805382026707285200839574451391039337619970756467974838362820271600960469734338500239339556483244573416434036876356226667936131777671307491982188944610086253<215>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:10:17 UTC 2015 年 1 月 9 日 (金) 9 時 10 分 17 秒 (日本時間)
4511e6585 / 4409CypJuly 17, 2015 18:49:50 UTC 2015 年 7 月 18 日 (土) 3 時 49 分 50 秒 (日本時間)

## 718×10250-79

### c236

composite cofactor 合成数の残り `68868152266308224835643114927868436332103767425289197238370682758891196541539301485808990403986305771075087292699705102041535523863132290618258386917913587633711676557672645796194597866767543499647978871684862850253213300981481582269783<236>`

### 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 00:10:18 UTC 2015 年 1 月 9 日 (金) 9 時 10 分 18 秒 (日本時間)
1CypJanuary 9, 2015 00:50:00 UTC 2015 年 1 月 9 日 (金) 9 時 50 分 0 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovApril 23, 2015 12:49:20 UTC 2015 年 4 月 23 日 (木) 21 時 49 分 20 秒 (日本時間)

## 718×10251-79

### c247

composite cofactor 合成数の残り `8999276673736989746966159586253868090908737683493433974826340907891651215610511305560663083751304613106932589025469833058404177569515965506449335388377070695334501735243536344731957546977665625232267194791349012880872764391040380305922764898659747<247>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

## 718×10252-79

### c251

composite cofactor 合成数の残り `35919755865726149382160188103456901295712641953074190804942718495172344789634298864375406473560458252038621241682925609084996748211516333983691030066536595127320026014307869328130471759467707238981439791885537045374956225924258342088148481664915703637<251>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

## 718×10254-79

### c239

composite cofactor 合成数の残り `15895777174730282129135497885279731032874702086162311705530744906429221472212907234987899451480946109164184391206606783817898475972600830673533471640956455021436996690937560053496691192753575610451441407987884723046167420252269358181663909<239>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

## 718×10255-79

### c248

composite cofactor 合成数の残り `22351457483976022763370065795454003687110310609662226613983523046149234417422201956137043402986358143026431724359429534049739814230937206414257735775875192516648256868475383458157707725079334615742727567659338852434099111322951002946274458710130503<248>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

## 718×10257-79

### c232

composite cofactor 合成数の残り `2183119247727652054931132037729596765338183305828633782446402219376067485456096943776025832730442638389378867994093624161628767171190886655663942460547025428887542866630348584714731962883515581093146653187906180841543582354848607933<232>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

## 718×10259-79

### c254

composite cofactor 合成数の残り `40852700087805425212398621506999549715622249466079960443661916095074520246629457367410926050086650682108941781528328755811047659129758855216762065402589675417730380224785097585920070258450851843375959712000299146456798949587182043164951533193015119134809<254>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

## 718×10260-79

### c260

composite cofactor 合成数の残り `11220503203625566494764807001093920925144553836536958899828098140334427254258477887169870292233161431473667760587591811220503203625566494764807001093920925144553836536958899828098140334427254258477887169870292233161431473667760587591811220503203625566494764807<260>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

## 718×10262-79

### c232

composite cofactor 合成数の残り `8829143977783263469940045706137617030673703021779159227134765340194783733986750603485563191864220058671708984686332083845146302546213986099233030419985830904745370317476690472801177885415977051605441458123751616899800076166996068197<232>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

## 718×10264-79

### c219

composite cofactor 合成数の残り `128292719593779143722168574219076801695788817857297405800840028981151470105360147107641267324924873951910827624755122081685914676682762512392290822096089024824038062810383285712118829357374479498887654996834217649500249<219>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

## 718×10265-79

### c258

composite cofactor 合成数の残り `801366301686293110128987153152504766188302359059763914003030747486236376676188386104070508242179816692184095000478585888737646178528752782438808238139825583720457070583048161526430263181315551084744119538279028033263929888666736645141879630757467130892182889<258>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

## 718×10266-79

### c258

composite cofactor 合成数の残り `859234506153970313526866741713594219054331200553157904209011304980122129010453726205215485261685199154728686431504196124108550618694061347568618345627418792008279642196261581069374588749400571277099217030297754688019812512048327905297470310418382475776751213<258>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

## 718×10267-79

### c223

composite cofactor 合成数の残り `1226833794553104158472950986182714709983704434486073722043621141918609111278330606872774009498181545111259493439047177127597931562846022035179690684012294235326571871210884323260299747167209625699393339631553982510612340401<223>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

## 718×10269-79

### c228

composite cofactor 合成数の残り `498780587983693366639935333445322285080276715539823840223593456323971470128413856352822851416964725060417599852577951441212681880017214737820587865859385260509284360993275649479780385630381383494519722120655939199822523325154543<228>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

## 718×10275-79

### c235

composite cofactor 合成数の残り `1010908852723878160477969246257466883507421103767271597752229077015025088088920129201492897053196597874470936162349781198340556070316663089849786428721551279299080320049220268639767024828617755882381035449032261143866863989401676341099<235>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

## 718×10276-79

### c270

composite cofactor 合成数の残り `104395595857879542278929043321538109696671321984707076658571365437018408694666704521847384179321415375371406252148683639589656430448909729349702488901783809625611638947384481995944480312691993160646707063031020366306631250428784372551818318120524306268608917531731139141<270>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

## 718×10277-79

### c225

composite cofactor 合成数の残り `502200641231324686587019757262567418225967374551204356091129171381456417084195155302355648544660501471883491179505600949317795339077388152895228606398166289294216929055526457739533387364178329800533670913209430838132964208523<225>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

## 718×10278-79

### c278

composite cofactor 合成数の残り `32830361225422953818015546410608139003200731595793324188385916780978509373571101966163694558756287151348879743941472336534064929126657521719250114311842706904435299497027892089620484682213077274805669867398262459990855052583447645176040237768632830361225422953818015546410608139<278>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

## 718×10280-79

### c240

composite cofactor 合成数の残り `127697660764363759012134519054438367821001644476218184377806002805990727760453079707216694195023996954628802277675122191537574298710051748311656436471770435674147555550602251587841667617277978181605373264195475134375983913513833740359301423<240>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

## 718×10281-79

### c231

composite cofactor 合成数の残り `306268618682666387517779855283116710547106075141521972941761243568988889513377991495907946991671368663743060088529763340417471886551138400632302339811609112844031729702014311211705123693919115090496849263604512521719352022123328413<231>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

## 718×10283-79

### c207

composite cofactor 合成数の残り `632727228398050724240277723358140579436076042772601115804597810118052891955361336640610222323397078813328913316612693450650897887933908969557680334912998318752015944001731563192618237344404646143004243457281<207>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

## 718×10284-79

### c272

composite cofactor 合成数の残り `11295762399941337220044232674866868273802041218009116490586371583560032385014425394823873201979133861127777725323351499797719791794579912472883474435899045713893068588692135073313700363631306563891172233292754740827669740749131451726207324569016408824868629233030125572239<272>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

## 718×10285-79

### c276

composite cofactor 合成数の残り `702573233754554069251887938757609028672511047339708399148441857839225788692954684124101059553732209850417000109852302799530252148911905344451976587165566128579866558706333113456584571317672467925957349373593455449061576199862721904801734614244805706023680357234469265991503837<276>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

## 718×10286-79

### c229

composite cofactor 合成数の残り `7927443082291045148665052807301411332090365367659867828450304501115584981396675528633888583762255105526147751070826220181477786208874868747796648341001471033216507768598496852626835910579561098228427668911903098865871087738435071<229>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

## 718×10288-79

### c229

composite cofactor 合成数の残り `7804858758112792839245808162848213723080500239985208281365731530088549533320456109611847589428837974351529127762935299705429522006562665337406134284656060775439959109297563493166015136917234645846746413041132096977553525570850531<229>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

## 718×10289-79

### c204

composite cofactor 合成数の残り `129882562708913860447400565087246659678437977105335365944524425116579795381854450330576702195940793127049627449274794955630230111053888887625151766611165079053493899624299046052376128109457948561476016473<204>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

## 718×10290-79

### c242

composite cofactor 合成数の残り `99818510578360652722901889608822538336996014048990343307908482479499787894733505496309303296629768465328849467027413677687474810955499809724295654161948991304300469381165210282429581987768831851906683822372370352764094877600526308234811610071<242>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

## 718×10291-79

### c275

composite cofactor 合成数の残り `11595596552517247106403945724684466706735972750327111438563131250698882152463149484981283538776006424834656602148002680758116997941874099523412402385790566062555493576160237033850986334425207956905389582771405725790972710638797752801492952430541083116025631433227357158512671<275>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

## 718×10292-79

### c207

composite cofactor 合成数の残り `384665258587112839513028319390043681588575547531861845521999718773164169033460576539298153520879570016610864092129194496906311072525602590580586204225454685479061125595056152242371804116194169086033632168257<207>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

## 718×10294-79

### c236

composite cofactor 合成数の残り `16052818590779076180722265000042464535902167478366509808788481499854900083335210338400987786585351916812784130032207636487824296766339189630729275600107156966435563777206733818098746393716010068614875168276262420897448241547916518225881<236>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

## 718×10296-79

### c292

composite cofactor 合成数の残り `2366746018584362183868410767296751812497282609680960329282275040214080418140073193103961362574579282052539717904311667355758944083186046245623868481967455528166568552188612121345771341810832978898283683913355867524325319986204309976351988005673993393746008794340352119725967729648777857515363<292>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

## 718×10297-79

### c232

composite cofactor 合成数の残り `7365084004311925110202812810258329649641635295190934256300246559631676063205934181069983759028297038088565343243907219336368158897542931573413027584906788670944329324265483727530596485104829887183595603992299903991664888234627684927<232>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

## 718×10299-79

### c189

name 名前 Dmitry Domanov January 1, 2019 18:08:31 UTC 2019 年 1 月 2 日 (水) 3 時 8 分 31 秒 (日本時間) `264131674969858135109347612702390960311395986873626577568776173013512872121060539218511864966859821580196485791889516037969670333126762563492666116443092157298476021915415601431610332872071<189>` `37177648883426300207223996417240724323172343<44>` `7104582535546172022902965713530283807788922389229566626088625959258126677710169904319638336437547541344957315435816042657547564578335683897043697<145>` ```Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1428537222 Step 1 took 289662ms Step 2 took 79789ms ********** Factor found in step 2: 37177648883426300207223996417240724323172343 Found probable prime factor of 44 digits: 37177648883426300207223996417240724323172343 Composite cofactor 7104582535546172022902965713530283807788922389229566626088625959258126677710169904319638336437547541344957315435816042657547564578335683897043697 has 145 digits```

### c145

name 名前 Robert Balfour April 5, 2020 23:37:51 UTC 2020 年 4 月 6 日 (月) 8 時 37 分 51 秒 (日本時間) `7104582535546172022902965713530283807788922389229566626088625959258126677710169904319638336437547541344957315435816042657547564578335683897043697<145>` ```551865997526258157928627970860389826821365683406669<51> 12873745741525108500798688199211315148004698644575311259875647041499871998724901650056339753013<95>``` ```PID22605 2020-04-02 20:10:44,209 Debug:root: Root parameter dictionary: N = 7104582535546172022902965713530283807788922389229566626088625959258126677710169904319638336437547541344957315435816042657547564578335683897043697 name = 79777_299 tasks.I = 14 tasks.lim0 = 13000000 tasks.lim1 = 20000000 tasks.lpb0 = 30 tasks.lpb1 = 31 tasks.qmin = 100000 tasks.threads = 6 tasks.wutimeout = 1800 tasks.filter.required_excess = 0.05 tasks.filter.target_density = 135.0 tasks.filter.purge.keep = 175 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.bwc.interleaving = 0 tasks.linalg.bwc.threads = 6 tasks.linalg.characters.nchar = 50 tasks.polyselect.P = 300000 tasks.polyselect.admax = 20e4 tasks.polyselect.admin = 12600 tasks.polyselect.adrange = 840 tasks.polyselect.degree = 5 tasks.polyselect.incr = 60 tasks.polyselect.nq = 15625 tasks.polyselect.nrkeep = 100 tasks.polyselect.threads = 2 tasks.sieve.lambda0 = 1.81 tasks.sieve.lambda1 = 1.79 tasks.sieve.mfb0 = 56 tasks.sieve.mfb1 = 58 tasks.sieve.ncurves0 = 19 tasks.sieve.ncurves1 = 22 tasks.sieve.qrange = 5000 tasks.sieve.rels_wanted = 85000000 tasks.sieve.las.threads = 2 tasks.sqrt.threads = 2 PID22605 2020-04-02 20:55:57,658 Info:Polynomial Selection (root optimized): Best polynomial is: n: 7104582535546172022902965713530283807788922389229566626088625959258126677710169904319638336437547541344957315435816042657547564578335683897043697 skew: 203916.379 c0: 275947210979986173071558774357035 c1: -1293986222434265407323685378 c2: -59283111427782526522275 c3: 101935095846473488 c4: 681554890406 c5: 477360 Y0: -10396200615645017535075417186 Y1: 4130862345029996301311 # MurphyE (Bf=2.147e+09,Bg=1.074e+09,area=1.342e+13) = 2.601e-06 PID5857 2020-04-06 00:01:40,543 Info:Square Root: Factors: 12873745741525108500798688199211315148004698644575311259875647041499871998724901650056339753013 551865997526258157928627970860389826821365683406669 PID5857 2020-04-06 00:01:40,543 Debug:Square Root: Exit SqrtTask.run(sqrt) PID5857 2020-04-06 00:01:40,543 Info:Square Root: Total cpu/real time for sqrt: 617.99/138.75 PID5857 2020-04-06 00:01:40,544 Info:Polynomial Selection (size optimized): Aggregate statistics: PID5857 2020-04-06 00:01:40,544 Info:Polynomial Selection (size optimized): potential collisions: 144726 PID5857 2020-04-06 00:01:40,544 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 146570/43.170/52.751/63.580/1.218 PID5857 2020-04-06 00:01:40,544 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 121351/42.270/46.668/53.030/1.006 PID5857 2020-04-06 00:01:40,544 Info:Polynomial Selection (size optimized): Total time: 61320.6 PID5857 2020-04-06 00:01:40,544 Info:Polynomial Selection (root optimized): Aggregate statistics: PID5857 2020-04-06 00:01:40,544 Info:Polynomial Selection (root optimized): Total time: 2132.98 PID5857 2020-04-06 00:01:40,545 Info:Polynomial Selection (root optimized): Rootsieve time: 2130.11 PID5857 2020-04-06 00:01:40,545 Info:Generate Factor Base: Total cpu/real time for makefb: 14.39/2.72484 PID5857 2020-04-06 00:01:40,545 Info:Generate Free Relations: Total cpu/real time for freerel: 1343.09/227.006 PID5857 2020-04-06 00:01:40,545 Info:Lattice Sieving: Aggregate statistics: PID5857 2020-04-06 00:01:40,545 Info:Lattice Sieving: Total number of relations: 93473128 PID5857 2020-04-06 00:01:40,545 Info:Lattice Sieving: Average J: 7802.33 for 528184 special-q, max bucket fill -bkmult 1.0,1s:1.096530 PID5857 2020-04-06 00:01:40,545 Info:Lattice Sieving: Total time: 501671s PID5857 2020-04-06 00:01:40,546 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 271.4/306.239 PID5857 2020-04-06 00:01:40,546 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: PID5857 2020-04-06 00:01:40,546 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 305.59999999999997s PID5857 2020-04-06 00:01:40,546 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1050.74/413.6 PID5857 2020-04-06 00:01:40,546 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: PID5857 2020-04-06 00:01:40,546 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 318.09999999999997s PID5857 2020-04-06 00:01:40,546 Info:Filtering - Singleton removal: Total cpu/real time for purge: 428.35/231.114 PID5857 2020-04-06 00:01:40,547 Info:Filtering - Merging: Total cpu/real time for merge: 147.94/33.6023 PID5857 2020-04-06 00:01:40,547 Info:Filtering - Merging: Total cpu/real time for replay: 53.96/55.3156 PID5857 2020-04-06 00:01:40,547 Info:Linear Algebra: Total cpu/real time for bwc: 924.27/188.16 PID5857 2020-04-06 00:01:40,547 Warning:Linear Algebra: some stats could not be displayed for linalg (see log file for debug info) PID5857 2020-04-06 00:01:40,547 Debug:Linear Algebra: KeyError with "Krylov: WCT time {krylov_wct[0]}" PID5857 2020-04-06 00:01:40,547 Debug:Linear Algebra: KeyError with ", iteration CPU time {krylov_cpu[1]:g}" PID5857 2020-04-06 00:01:40,547 Debug:Linear Algebra: KeyError with ", COMM {krylov_comm[0]}" PID5857 2020-04-06 00:01:40,547 Debug:Linear Algebra: KeyError with ", cpu-wait {krylov_cpu_wait[0]}" PID5857 2020-04-06 00:01:40,547 Debug:Linear Algebra: KeyError with ", comm-wait {krylov_comm_wait[0]}" PID5857 2020-04-06 00:01:40,548 Debug:Linear Algebra: KeyError with " ({krylov_cpu[0]:d} iterations)" PID5857 2020-04-06 00:01:40,548 Debug:Linear Algebra: KeyError with "Lingen CPU time {lingen_cpu[0]}" PID5857 2020-04-06 00:01:40,548 Debug:Linear Algebra: KeyError with ", WCT time {lingen_wct[0]}" PID5857 2020-04-06 00:01:40,548 Debug:Linear Algebra: (registered stats: {'gather_wct': [15.7], 'mksol_cpu': [33792, 0.06], 'mksol_wct': [172.46], 'mksol_comm_wait': [0.0], 'mksol_cpu_wait': [0.0], 'gather_cpu': [3.18], 'mksol_comm': [0.01]}) PID5857 2020-04-06 00:01:40,548 Info:Linear Algebra: Aggregate statistics: PID5857 2020-04-06 00:01:40,548 Info:Linear Algebra: Mksol: WCT time 172.46, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (33792 iterations) PID5857 2020-04-06 00:01:40,548 Info:Quadratic Characters: Total cpu/real time for characters: 71.37/23.0375 PID5857 2020-04-06 00:01:40,548 Info:Square Root: Total cpu/real time for sqrt: 617.99/138.75 PID5857 2020-04-06 00:01:40,548 Info:HTTP server: Shutting down HTTP server PID5857 2020-04-06 00:01:40,625 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.06459e+06/20163.3``` `CADO-NFS`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovDecember 23, 2018 19:17:05 UTC 2018 年 12 月 24 日 (月) 4 時 17 分 5 秒 (日本時間)
5043e6528 / 6996Dmitry DomanovJanuary 1, 2019 00:12:47 UTC 2019 年 1 月 1 日 (火) 9 時 12 分 47 秒 (日本時間)