## 5×10113-9

### c99

name 名前 Robert Backstrom December 4, 2007 14:47:10 UTC 2007 年 12 月 4 日 (火) 23 時 47 分 10 秒 (日本時間) `203021165912983606404556534952073851674686737244100649709789353072565174351312138657931257310266391<99>` ```443952373522730358003023095039<30> 457303931730390724716183370178707280616570660476664818059347925723369<69>``` ```GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM] Input number is 203021165912983606404556534952073851674686737244100649709789353072565174351312138657931257310266391 (99 digits) Using B1=679000, B2=483603764, polynomial Dickson(3), sigma=1080636449 Step 1 took 6719ms Step 2 took 4421ms ********** Factor found in step 2: 443952373522730358003023095039 Found probable prime factor of 30 digits: 443952373522730358003023095039 Probable prime cofactor 457303931730390724716183370178707280616570660476664818059347925723369 has 69 digits```

## 5×10118-9

### c119

name 名前 Jo Yeong Uk December 4, 2007 17:17:11 UTC 2007 年 12 月 5 日 (水) 2 時 17 分 11 秒 (日本時間) `49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991<119>` ```113451761893099661361741916560523265424931846016438394824059<60> 440715940992725025596348804318707127294139212236448645152949<60>``` ```Number: 49991_118 N=49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991 ( 119 digits) SNFS difficulty: 120 digits. Divisors found: r1=113451761893099661361741916560523265424931846016438394824059 (pp60) r2=440715940992725025596348804318707127294139212236448645152949 (pp60) Version: GGNFS-0.77.1-20050930-nocona Total time: 0.74 hours. Scaled time: 1.58 units (timescale=2.145). Factorization parameters were as follows: n: 49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991 m: 1000000000000000000000000 c5: 1 c0: -180 skew: 2.83 type: snfs Factor base limits: 600000/600000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 45/45 Sieved algebraic special-q in [300000, 420001) Primes: RFBsize:49098, AFBsize:49121, largePrimes:1721640 encountered Relations: rels:1663175, finalFF:113797 Max relations in full relation-set: 28 Initial matrix: 98283 x 113797 with sparse part having weight 8423002. Pruned matrix : 92995 x 93550 with weight 5618322. Total sieving time: 0.68 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.02 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,120,5,0,0,0,0,0,0,0,0,600000,600000,25,25,45,45,2.4,2.4,30000 total time: 0.74 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init) Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407675) Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405123) Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405117) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125) Total of 4 processors activated (19246.08 BogoMIPS).```

## 5×10123-9

### c105

name 名前 Robert Backstrom December 5, 2007 05:34:39 UTC 2007 年 12 月 5 日 (水) 14 時 34 分 39 秒 (日本時間) `222260810449228699256116448003375808277834632035238832328952660728684559294914778984431234033300019320737<105>` ```529652772019323584350569475910017<33> 419634942345057429532843777824194673588852290057980851002408093562224161<72>``` ```GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM] Input number is 222260810449228699256116448003375808277834632035238832328952660728684559294914778984431234033300019320737 (105 digits) Using B1=1994000, B2=2244416577, polynomial Dickson(6), sigma=2017283081 Step 1 took 19828ms Step 2 took 13828ms ********** Factor found in step 2: 529652772019323584350569475910017 Found probable prime factor of 33 digits: 529652772019323584350569475910017 Probable prime cofactor 419634942345057429532843777824194673588852290057980851002408093562224161 has 72 digits```

## 5×10124-9

### c105

name 名前 Robert Backstrom December 5, 2007 08:53:26 UTC 2007 年 12 月 5 日 (水) 17 時 53 分 26 秒 (日本時間) `443126840998862673372330594167340785125969505774279345379238258715809495060385177703056868837181152248381<105>` ```449489779543195000651111258759942012797389869<45> 985844086264210902762592892891295128151928079697441377159249<60>``` ```Number: n N=443126840998862673372330594167340785125969505774279345379238258715809495060385177703056868837181152248381 ( 105 digits) SNFS difficulty: 125 digits. Divisors found: r1=449489779543195000651111258759942012797389869 (pp45) r2=985844086264210902762592892891295128151928079697441377159249 (pp60) Version: GGNFS-0.77.1-20051202-athlon Total time: 1.96 hours. Scaled time: 2.60 units (timescale=1.323). Factorization parameters were as follows: name: KA_4_9_123_1 n: 443126840998862673372330594167340785125969505774279345379238258715809495060385177703056868837181152248381 skew: 1.78 deg: 5 c5: 1 c0: -18 m: 10000000000000000000000000 type: snfs rlim: 800000 alim: 800000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 50000 Factor base limits: 800000/800000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 250001) Primes: RFBsize:63951, AFBsize:63888, largePrimes:4613515 encountered Relations: rels:4003172, finalFF:210650 Max relations in full relation-set: 48 Initial matrix: 127906 x 210650 with sparse part having weight 17161578. Pruned matrix : 98518 x 99221 with weight 4907911. Total sieving time: 1.71 hours. Total relation processing time: 0.09 hours. Matrix solve time: 0.10 hours. Total square root time: 0.06 hours, sqrts: 3. Prototype def-par.txt line would be: snfs,125,5,0,0,0,0,0,0,0,0,800000,800000,28,28,48,48,2.5,2.5,50000 total time: 1.96 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+```

## 5×10128-9

### c109

name 名前 Sinkiti Sibata December 5, 2007 02:36:32 UTC 2007 年 12 月 5 日 (水) 11 時 36 分 32 秒 (日本時間) `7234033712081902712464612958999569631054058842077060936513763588440193920136568538523951971389190729990239079<109>` ```942477006562110761447064968719904363145782491<45> 7675554588296651640866311850875593032012524032228064348193639269<64>``` ```Number: 49991_128 N=7234033712081902712464612958999569631054058842077060936513763588440193920136568538523951971389190729990239079 ( 109 digits) SNFS difficulty: 129 digits. Divisors found: r1=942477006562110761447064968719904363145782491 (pp45) r2=7675554588296651640866311850875593032012524032228064348193639269 (pp64) Version: GGNFS-0.77.1-20060513-k8 Total time: 3.04 hours. Scaled time: 6.11 units (timescale=2.010). Factorization parameters were as follows: name: 49991_128 n: 7234033712081902712464612958999569631054058842077060936513763588440193920136568538523951971389190729990239079 m: 50000000000000000000000000 c5: 8 c0: -45 skew: 1.41 type: snfs Factor base limits: 800000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved algebraic special-q in [400000, 750001) Primes: RFBsize:63951, AFBsize:63928, largePrimes:1408145 encountered Relations: rels:1391646, finalFF:160862 Max relations in full relation-set: 28 Initial matrix: 127944 x 160862 with sparse part having weight 8338899. Pruned matrix : 116420 x 117123 with weight 4694100. Total sieving time: 2.90 hours. Total relation processing time: 0.04 hours. Matrix solve time: 0.06 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,129,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000 total time: 3.04 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

## 5×10129-9

### c124

name 名前 Sinkiti Sibata December 5, 2007 05:07:17 UTC 2007 年 12 月 5 日 (水) 14 時 7 分 17 秒 (日本時間) `1788974692090620870822788818335702532150558678906592979991749248720078056543765297969835739921721623372882793176278052464903<124>` ```1719378230348833617587044366277777273<37> 1040477691594168476615746126692780490295108691699389255395317590980581957687501917021311<88>``` ```Number: 49991_129 N=1788974692090620870822788818335702532150558678906592979991749248720078056543765297969835739921721623372882793176278052464903 ( 124 digits) SNFS difficulty: 130 digits. Divisors found: r1=1719378230348833617587044366277777273 (pp37) r2=1040477691594168476615746126692780490295108691699389255395317590980581957687501917021311 (pp88) Version: GGNFS-0.77.1-20060513-k8 Total time: 3.02 hours. Scaled time: 6.07 units (timescale=2.010). Factorization parameters were as follows: name: 49991_129 n: 1788974692090620870822788818335702532150558678906592979991749248720078056543765297969835739921721623372882793176278052464903 m: 100000000000000000000000000 c5: 1 c0: -18 skew: 1.78 type: snfs Factor base limits: 800000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved algebraic special-q in [400000, 750001) Primes: RFBsize:63951, AFBsize:63888, largePrimes:1400726 encountered Relations: rels:1379152, finalFF:155356 Max relations in full relation-set: 28 Initial matrix: 127906 x 155356 with sparse part having weight 8163928. Pruned matrix : 118614 x 119317 with weight 4886712. Total sieving time: 2.88 hours. Total relation processing time: 0.04 hours. Matrix solve time: 0.06 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,130,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000 total time: 3.02 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

## 5×10131-9

### c124

name 名前 Sinkiti Sibata December 5, 2007 07:36:55 UTC 2007 年 12 月 5 日 (水) 16 時 36 分 55 秒 (日本時間) `2198352694306118352775557233934329691552518925057765344324838864814459845991060504289533496412119129734953277157126876312161<124>` ```331708005539959846200945699830264904120183676134446346135329<60> 6627373043733457754101972925473022695394088807721914419175039809<64>``` ```Number: 49991_131 N=2198352694306118352775557233934329691552518925057765344324838864814459845991060504289533496412119129734953277157126876312161 ( 124 digits) SNFS difficulty: 131 digits. Divisors found: r1=331708005539959846200945699830264904120183676134446346135329 (pp60) r2=6627373043733457754101972925473022695394088807721914419175039809 (pp64) Version: GGNFS-0.77.1-20060513-k8 Total time: 4.40 hours. Scaled time: 8.73 units (timescale=1.985). Factorization parameters were as follows: name: 49991_131 n: 2198352694306118352775557233934329691552518925057765344324838864814459845991060504289533496412119129734953277157126876312161 m: 100000000000000000000000000 c5: 50 c0: -9 skew: 0.71 type: snfs Factor base limits: 800000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved algebraic special-q in [400000, 950001) Primes: RFBsize:63951, AFBsize:64058, largePrimes:1540929 encountered Relations: rels:1578173, finalFF:205413 Max relations in full relation-set: 28 Initial matrix: 128074 x 205413 with sparse part having weight 14981903. Pruned matrix : 107027 x 107731 with weight 6295031. Total sieving time: 4.24 hours. Total relation processing time: 0.06 hours. Matrix solve time: 0.05 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,131,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000 total time: 4.40 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

## 5×10133-9

### c125

name 名前 Sinkiti Sibata December 5, 2007 10:15:06 UTC 2007 年 12 月 5 日 (水) 19 時 15 分 6 秒 (日本時間) `35997602453123718699088433361036392227609920185590275938275294088118860783040021616761859674530571627319128529175336476231687<125>` ```4580943858133272901234098370518760018593679951<46> 7858119105566310646465581070947787541968136461241464994014105774627915529998537<79>``` ```Number: 49991_133 N=35997602453123718699088433361036392227609920185590275938275294088118860783040021616761859674530571627319128529175336476231687 ( 125 digits) SNFS difficulty: 134 digits. Divisors found: r1=4580943858133272901234098370518760018593679951 (pp46) r2=7858119105566310646465581070947787541968136461241464994014105774627915529998537 (pp79) Version: GGNFS-0.77.1-20060513-k8 Total time: 4.68 hours. Scaled time: 9.29 units (timescale=1.985). Factorization parameters were as follows: name: 49991_133 n: 35997602453123718699088433361036392227609920185590275938275294088118860783040021616761859674530571627319128529175336476231687 m: 500000000000000000000000000 c5: 8 c0: -45 skew: 1.41 type: snfs Factor base limits: 1000000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 43/43 Sieved algebraic special-q in [400000, 925001) Primes: RFBsize:78498, AFBsize:63928, largePrimes:1457680 encountered Relations: rels:1439431, finalFF:160358 Max relations in full relation-set: 28 Initial matrix: 142491 x 160358 with sparse part having weight 10506246. Pruned matrix : 136383 x 137159 with weight 7567068. Total sieving time: 4.48 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.10 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,134,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000 total time: 4.68 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

## 5×10134-9

### c112

name 名前 Sinkiti Sibata December 5, 2007 14:26:10 UTC 2007 年 12 月 5 日 (水) 23 時 26 分 10 秒 (日本時間) `6127152151743557074542844552870042019610302481794247517939862406771161342106351861871786326029301318444361340921<112>` ```7661951585715267309757814664269644345249<40> 799685573994862057768981025766325851378881906722550433228529476184746329<72>``` ```Number: 49991_134 N=6127152151743557074542844552870042019610302481794247517939862406771161342106351861871786326029301318444361340921 ( 112 digits) SNFS difficulty: 135 digits. Divisors found: r1=7661951585715267309757814664269644345249 (pp40) r2=799685573994862057768981025766325851378881906722550433228529476184746329 (pp72) Version: GGNFS-0.77.1-20060513-k8 Total time: 5.82 hours. Scaled time: 11.55 units (timescale=1.986). Factorization parameters were as follows: name: 49991_134 n: 6127152151743557074542844552870042019610302481794247517939862406771161342106351861871786326029301318444361340921 m: 1000000000000000000000000000 c5: 1 c0: -18 skew: 1.78 type: snfs Factor base limits: 1000000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 43/43 Sieved algebraic special-q in [400000, 1075001) Primes: RFBsize:78498, AFBsize:63888, largePrimes:1619441 encountered Relations: rels:1697010, finalFF:245323 Max relations in full relation-set: 28 Initial matrix: 142453 x 245323 with sparse part having weight 18456007. Pruned matrix : 112751 x 113527 with weight 7450413. Total sieving time: 5.64 hours. Total relation processing time: 0.06 hours. Matrix solve time: 0.07 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,135,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000 total time: 5.82 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

## 5×10135-9

### c110

name 名前 Sinkiti Sibata December 6, 2007 04:25:14 UTC 2007 年 12 月 6 日 (木) 13 時 25 分 14 秒 (日本時間) `22416640605779012272061571478739422204655514974373750892597086537285582773909365228492465712874266775868664833<110>` ```1719936531432379284578110469620659745107108719<46> 13033411521941582112132234407177385128654436282436915981843640207<65>``` ```Number: 49991_135 N=22416640605779012272061571478739422204655514974373750892597086537285582773909365228492465712874266775868664833 ( 110 digits) SNFS difficulty: 135 digits. Divisors found: r1=1719936531432379284578110469620659745107108719 (pp46) r2=13033411521941582112132234407177385128654436282436915981843640207 (pp65) Version: GGNFS-0.77.1-20060513-k8 Total time: 5.81 hours. Scaled time: 11.61 units (timescale=2.000). Factorization parameters were as follows: name: 49991_135 n: 22416640605779012272061571478739422204655514974373750892597086537285582773909365228492465712874266775868664833 m: 1000000000000000000000000000 c5: 5 c0: -9 skew: 1.12 type: snfs Factor base limits: 1000000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 43/43 Sieved algebraic special-q in [400000, 1075001) Primes: RFBsize:78498, AFBsize:63763, largePrimes:1597471 encountered Relations: rels:1658522, finalFF:230632 Max relations in full relation-set: 28 Initial matrix: 142327 x 230632 with sparse part having weight 17325623. Pruned matrix : 115642 x 116417 with weight 7445126. Total sieving time: 5.63 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.08 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,135,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000 total time: 5.81 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

## 5×10142-9

### c118

name 名前 Sinkiti Sibata December 6, 2007 12:37:00 UTC 2007 年 12 月 6 日 (木) 21 時 37 分 0 秒 (日本時間) `2783852765203771242392062028278372201075337622567765162596504687226524568762724852814366472811671739409898543364743269<118>` ```117630389300918643864328074179<30> 13290764272933581140590846123083681578082559<44> 1780642654590329845797643787582718386220435529<46>``` ```Number: 49991_142 N=2783852765203771242392062028278372201075337622567765162596504687226524568762724852814366472811671739409898543364743269 ( 118 digits) SNFS difficulty: 142 digits. Divisors found: r1=117630389300918643864328074179 (pp30) r2=13290764272933581140590846123083681578082559 (pp44) r3=1780642654590329845797643787582718386220435529 (pp46) Version: GGNFS-0.77.1-20060513-k8 Total time: 15.52 hours. Scaled time: 30.95 units (timescale=1.994). Factorization parameters were as follows: name: 49991_142 n: 2783852765203771242392062028278372201075337622567765162596504687226524568762724852814366472811671739409898543364743269 m: 10000000000000000000000000000 c5: 500 c0: -9 skew: 0.45 type: snfs Factor base limits: 1300000/1300000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 45/45 Sieved algebraic special-q in [650000, 2350001) Primes: RFBsize:100021, AFBsize:99988, largePrimes:2795102 encountered Relations: rels:2767439, finalFF:225205 Max relations in full relation-set: 28 Initial matrix: 200076 x 225205 with sparse part having weight 24651803. Pruned matrix : 193526 x 194590 with weight 19788059. Total sieving time: 14.86 hours. Total relation processing time: 0.10 hours. Matrix solve time: 0.47 hours. Time per square root: 0.09 hours. Prototype def-par.txt line would be: snfs,142,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000 total time: 15.52 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

## 5×10143-9

### c143

name 名前 Sinkiti Sibata December 5, 2007 21:00:33 UTC 2007 年 12 月 6 日 (木) 6 時 0 分 33 秒 (日本時間) `29411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823<143>` ```285720265191441664337755675562698371459936363289423581013937<60> 102939022145228428989427304065983196665834399279521532082685405829806319911074359479<84>``` ```Number: 49991_143 N=29411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823 ( 143 digits) SNFS difficulty: 144 digits. Divisors found: r1=285720265191441664337755675562698371459936363289423581013937 (pp60) r2=102939022145228428989427304065983196665834399279521532082685405829806319911074359479 (pp84) Version: GGNFS-0.77.1-20060513-k8 Total time: 11.80 hours. Scaled time: 23.49 units (timescale=1.991). Factorization parameters were as follows: name: 49991_143 n: 29411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823 m: 50000000000000000000000000000 c5: 8 c0: -45 skew: 1.41 type: snfs Factor base limits: 1300000/1300000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 45/45 Sieved algebraic special-q in [650000, 1950001) Primes: RFBsize:100021, AFBsize:99898, largePrimes:2740628 encountered Relations: rels:2726242, finalFF:266126 Max relations in full relation-set: 28 Initial matrix: 199984 x 266126 with sparse part having weight 25911863. Pruned matrix : 180593 x 181656 with weight 15619042. Total sieving time: 11.27 hours. Total relation processing time: 0.10 hours. Matrix solve time: 0.36 hours. Time per square root: 0.08 hours. Prototype def-par.txt line would be: snfs,144,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000 total time: 11.80 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

## 5×10146-9

### c128

name 名前 Robert Backstrom December 9, 2007 21:57:48 UTC 2007 年 12 月 10 日 (月) 6 時 57 分 48 秒 (日本時間) `34621051674262958248832730437816687088862152041094871343262841750725698980225021240368058000790564138392180385545468782765612929<128>` ```89514634314987140562070529941642327551603414368208045052321<59> 386764152467374483050690533716910166621405836972248541038074724385249<69>``` ```Number: n N=34621051674262958248832730437816687088862152041094871343262841750725698980225021240368058000790564138392180385545468782765612929 ( 128 digits) SNFS difficulty: 146 digits. Divisors found: r1=89514634314987140562070529941642327551603414368208045052321 (pp59) r2=386764152467374483050690533716910166621405836972248541038074724385249 (pp69) Version: GGNFS-0.77.1-20051202-athlon Total time: 8.86 hours. Scaled time: 12.82 units (timescale=1.447). Factorization parameters were as follows: name: KA_4_9_145_1 n: 34621051674262958248832730437816687088862152041094871343262841750725698980225021240368058000790564138392180385545468782765612929 skew: 0.71 deg: 5 c5: 50 c0: -9 m: 100000000000000000000000000000 type: snfs rlim: 1800000 alim: 1800000 lpbr: 28 lpba: 28 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: 28/28 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 1100001) Primes: RFBsize:135072, AFBsize:134503, largePrimes:6508918 encountered Relations: rels:5845525, finalFF:310973 Max relations in full relation-set: 28 Initial matrix: 269640 x 310973 with sparse part having weight 24290713. Pruned matrix : 244308 x 245720 with weight 16377793. Total sieving time: 7.07 hours. Total relation processing time: 0.23 hours. Matrix solve time: 1.51 hours. Total square root time: 0.05 hours, sqrts: 1. Prototype def-par.txt line would be: snfs,146,5,0,0,0,0,0,0,0,0,1800000,1800000,28,28,48,48,2.5,2.5,100000 total time: 8.86 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3400+```

## 5×10148-9

### c133

name 名前 Jo Yeong Uk December 7, 2007 14:02:01 UTC 2007 年 12 月 7 日 (金) 23 時 2 分 1 秒 (日本時間) `3369888397915338921258428641420141674023216060199260547003287810058336759881465047437666734012844616469309629039403567538331159944829<133>` ```3528305141284807144178302848697901<34> 955101178320483387652564653901091192062550077009781733001890240341202021273986351553940732976675729<99>``` ```Number: 49991_148 N=3369888397915338921258428641420141674023216060199260547003287810058336759881465047437666734012844616469309629039403567538331159944829 ( 133 digits) SNFS difficulty: 150 digits. Divisors found: r1=3528305141284807144178302848697901 (pp34) r2=955101178320483387652564653901091192062550077009781733001890240341202021273986351553940732976675729 (pp99) Version: GGNFS-0.77.1-20050930-nocona Total time: 10.19 hours. Scaled time: 21.63 units (timescale=2.123). Factorization parameters were as follows: n: 3369888397915338921258428641420141674023216060199260547003287810058336759881465047437666734012844616469309629039403567538331159944829 m: 1000000000000000000000000000000 c5: 1 c0: -180 skew: 2.83 type: snfs 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, 1575001) Primes: RFBsize:135072, AFBsize:134763, largePrimes:3725528 encountered Relations: rels:3800513, finalFF:378509 Max relations in full relation-set: 28 Initial matrix: 269899 x 378509 with sparse part having weight 33652982. Pruned matrix : 230441 x 231854 with weight 17271651. Total sieving time: 9.90 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.21 hours. Time per square root: 0.03 hours. Prototype def-par.txt line would be: snfs,150,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,48,48,2.3,2.3,75000 total time: 10.19 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init) Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407675) Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405123) Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405117) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125) Total of 4 processors activated (19246.08 BogoMIPS).``` `Core 2 Quad Q6600`

## 5×10151-9

### c112

name 名前 Jo Yeong Uk December 8, 2007 03:11:47 UTC 2007 年 12 月 8 日 (土) 12 時 11 分 47 秒 (日本時間) `4095153636445241190206816689343683703674815019630873708328681246983802788485970229898316586832416033236168376063<112>` ```7216593624182899656979319751461431<34> 567463522224990994815587976391783657930851218965846028456860191438113244343673<78>``` ```Number: 49991_151 N=4095153636445241190206816689343683703674815019630873708328681246983802788485970229898316586832416033236168376063 ( 112 digits) SNFS difficulty: 151 digits. Divisors found: r1=7216593624182899656979319751461431 (pp34) r2=567463522224990994815587976391783657930851218965846028456860191438113244343673 (pp78) Version: GGNFS-0.77.1-20050930-nocona Total time: 12.78 hours. Scaled time: 27.42 units (timescale=2.146). Factorization parameters were as follows: n: 4095153636445241190206816689343683703674815019630873708328681246983802788485970229898316586832416033236168376063 m: 1000000000000000000000000000000 c5: 50 c0: -9 skew: 0.71 type: snfs Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [1200000, 2000001) Primes: RFBsize:176302, AFBsize:175768, largePrimes:5401564 encountered Relations: rels:5292212, finalFF:469027 Max relations in full relation-set: 28 Initial matrix: 352135 x 469027 with sparse part having weight 39728717. Pruned matrix : 293297 x 295121 with weight 22323023. Total sieving time: 12.29 hours. Total relation processing time: 0.07 hours. Matrix solve time: 0.38 hours. Time per square root: 0.03 hours. Prototype def-par.txt line would be: snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000 total time: 12.78 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init) Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407675) Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405123) Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405117) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125) Total of 4 processors activated (19246.08 BogoMIPS).``` `Core 2 Quad Q6600`

## 5×10152-9

### c141

name 名前 Robert Backstrom December 14, 2007 11:25:53 UTC 2007 年 12 月 14 日 (金) 20 時 25 分 53 秒 (日本時間) `967476447904293055909635216958020112332090895404733428215992995669631565708561959491679428666082918940760232731437093604988438320239803286761<141>` ```2456042554669170698593684758425118153245909492210089<52> 393916809814646016551948100067256455621282070935459752206741992118247884075792950119651649<90>``` ```Number: n N=967476447904293055909635216958020112332090895404733428215992995669631565708561959491679428666082918940760232731437093604988438320239803286761 ( 141 digits) SNFS difficulty: 152 digits. Divisors found: Fri Dec 14 22:19:20 2007 prp52 factor: 2456042554669170698593684758425118153245909492210089 Fri Dec 14 22:19:20 2007 prp90 factor: 393916809814646016551948100067256455621282070935459752206741992118247884075792950119651649 Fri Dec 14 22:19:20 2007 elapsed time 01:04:26 (Msieve 1.30) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 22.64 hours. Scaled time: 29.75 units (timescale=1.314). Factorization parameters were as follows: name: KA_4_9_151_1 n: 967476447904293055909635216958020112332090895404733428215992995669631565708561959491679428666082918940760232731437093604988438320239803286761 skew: 0.45 deg: 5 c5: 500 c0: -9 m: 1000000000000000000000000000000 type: snfs rlim: 2800000 alim: 2800000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 2800000/2800000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved special-q in [100000, 1100000) Primes: RFBsize:203362, AFBsize:203297, largePrimes:6755039 encountered Relations: rels:6230916, finalFF:474146 Max relations in full relation-set: 28 Initial matrix: 406726 x 474146 with sparse part having weight 31631044. Pruned matrix : 349533 x 351630 with weight 19468857. Total sieving time: 22.45 hours. Total relation processing time: 0.19 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,152,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.5,2.5,100000 total time: 22.64 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+```

## 5×10153-9

### c125

name 名前 Jo Yeong Uk December 5, 2007 10:31:13 UTC 2007 年 12 月 5 日 (水) 19 時 31 分 13 秒 (日本時間) `13414550023286601451611153334651921530218328321107412408973204633499457710650373288090171487109705477235464644162568832368943<125>` ```394436722224962502210435443374249441<36> 34009384186180731129927406696605787600972387399376193654041569409619395347174902797719823<89>``` ```GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM] Input number is 13414550023286601451611153334651921530218328321107412408973204633499457710650373288090171487109705477235464644162568832368943 (125 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=914284303 Step 1 took 6676ms Step 2 took 3840ms ********** Factor found in step 2: 394436722224962502210435443374249441 Found probable prime factor of 36 digits: 394436722224962502210435443374249441 Probable prime cofactor 34009384186180731129927406696605787600972387399376193654041569409619395347174902797719823 has 89 digits``` `Core 2 Quad Q6600`

## 5×10154-9

### c112

name 名前 Jo Yeong Uk December 9, 2007 01:35:48 UTC 2007 年 12 月 9 日 (日) 10 時 35 分 48 秒 (日本時間) `4576115345759931963273148602487874485867641118618536902522504884305530749801301398793635737836618902146792781481<112>` ```29858758013316752254424575775237339<35> 153258730444147188544171970047926818140030968120876657797177159787574781970379<78>``` ```Number: 49991_154 N=4576115345759931963273148602487874485867641118618536902522504884305530749801301398793635737836618902146792781481 ( 112 digits) SNFS difficulty: 155 digits. Divisors found: r1=29858758013316752254424575775237339 (pp35) r2=153258730444147188544171970047926818140030968120876657797177159787574781970379 (pp78) Version: GGNFS-0.77.1-20050930-nocona Total time: 16.32 hours. Scaled time: 34.73 units (timescale=2.128). Factorization parameters were as follows: n: 4576115345759931963273148602487874485867641118618536902522504884305530749801301398793635737836618902146792781481 m: 10000000000000000000000000000000 c5: 1 c0: -18 skew: 1.78 type: snfs Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [1500000, 2500001) Primes: RFBsize:216816, AFBsize:216936, largePrimes:5614449 encountered Relations: rels:5616644, finalFF:590726 Max relations in full relation-set: 28 Initial matrix: 433819 x 590726 with sparse part having weight 45178149. Pruned matrix : 324617 x 326850 with weight 28243374. Total sieving time: 15.65 hours. Total relation processing time: 0.08 hours. Matrix solve time: 0.55 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000 total time: 16.32 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init) Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407675) Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405123) Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405117) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125) Total of 4 processors activated (19246.08 BogoMIPS).``` `Core 2 Quad Q6600`

## 5×10155-9

### c148

name 名前 Robert Backstrom December 11, 2007 03:19:20 UTC 2007 年 12 月 11 日 (火) 12 時 19 分 20 秒 (日本時間) `9569408942203085786057374998973680890948719049445346531360072724445749881946986584511632200303193325161185688811127446517482515876462834875006581361<148>` ```12577330540482969770037590027834896246509937898150565038352486568081<68> 760845786107138460535930299805308106874138122028043088814610693093595148504742881<81>``` ```Number: n N=9569408942203085786057374998973680890948719049445346531360072724445749881946986584511632200303193325161185688811127446517482515876462834875006581361 ( 148 digits) SNFS difficulty: 155 digits. Divisors found: Tue Dec 11 14:10:53 2007 prp68 factor: 12577330540482969770037590027834896246509937898150565038352486568081 Tue Dec 11 14:10:53 2007 prp81 factor: 760845786107138460535930299805308106874138122028043088814610693093595148504742881 Tue Dec 11 14:10:53 2007 elapsed time 01:06:58 (Msieve 1.30) Version: GGNFS-0.77.1-20051202-athlon Total time: 25.92 hours. Scaled time: 44.94 units (timescale=1.734). Factorization parameters were as follows: name: KA_4_9_154_1 n: 9569408942203085786057374998973680890948719049445346531360072724445749881946986584511632200303193325161185688811127446517482515876462834875006581361 type: snfs skew: 1.12 deg: 5 c5: 5 c0: -9 m: 10000000000000000000000000000000 rlim: 3000000 alim: 3000000 lpbr: 28 lpba: 28 mfbr: 48 mfba: 48 qintsize: 100000 Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 48/48 Sieved special-q in [100000, 1200000) Primes: RFBsize:216816, AFBsize:216491, largePrimes:6390484 encountered Relations: rels:5934433, finalFF:556300 Max relations in full relation-set: 28 Initial matrix: 433373 x 556300 with sparse part having weight 28717637. Pruned matrix : 323054 x 325284 with weight 14040928. Total sieving time: 25.73 hours. Total relation processing time: 0.18 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.3,2.3,100000 total time: 25.92 hours. --------- CPU info (if available) ---------- Cygwin on AMD 64 3200+```

## 5×10157-9

### c151

name 名前 Robert Backstrom December 7, 2007 18:26:53 UTC 2007 年 12 月 8 日 (土) 3 時 26 分 53 秒 (日本時間) `1401917649506736676938704206955793863486810884926029076949661595304338517353763797007595561786674509180920360619202352036494271638311527018331727530127<151>` ```64414577002263313514982818321328963237311<41> 21763981302826500962913776820417810329105314486317929333032864905086682541577240814547337472885523445053489457<110>``` ```GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM] Input number is 1401917649506736676938704206955793863486810884926029076949661595304338517353763797007595561786674509180920360619202352036494271638311527018331727530127 (151 digits) Using B1=3594000, B2=5195771719, polynomial Dickson(6), sigma=500330710 Step 1 took 56621ms Step 2 took 29582ms ********** Factor found in step 2: 64414577002263313514982818321328963237311 Found probable prime factor of 41 digits: 64414577002263313514982818321328963237311 Probable prime cofactor 21763981302826500962913776820417810329105314486317929333032864905086682541577240814547337472885523445053489457 has 110 digits```

## 5×10158-9

### c115

name 名前 Jo Yeong Uk December 14, 2007 02:19:40 UTC 2007 年 12 月 14 日 (金) 11 時 19 分 40 秒 (日本時間) `1550763936287826755654564895336804649264066034246143513988755304298815619485742512321951624878705182064449334155161<115>` ```916954738515527411860196269384889891<36> 1691210995646724198680462578472437912581425581533448011756847939729769453981971<79>``` ```Number: 49991_158 N=1550763936287826755654564895336804649264066034246143513988755304298815619485742512321951624878705182064449334155161 ( 115 digits) SNFS difficulty: 160 digits. Divisors found: r1=916954738515527411860196269384889891 (pp36) r2=1691210995646724198680462578472437912581425581533448011756847939729769453981971 (pp79) Version: GGNFS-0.77.1-20050930-nocona Total time: 25.62 hours. Scaled time: 54.41 units (timescale=2.124). Factorization parameters were as follows: n: 1550763936287826755654564895336804649264066034246143513988755304298815619485742512321951624878705182064449334155161 m: 100000000000000000000000000000000 c5: 1 c0: -180 skew: 2.83 type: snfs Factor base limits: 4000000/4000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [2000000, 3500001) Primes: RFBsize:283146, AFBsize:282037, largePrimes:5639108 encountered Relations: rels:5690607, finalFF:673567 Max relations in full relation-set: 28 Initial matrix: 565247 x 673567 with sparse part having weight 41646735. Pruned matrix : 476541 x 479431 with weight 26834784. Total sieving time: 24.40 hours. Total relation processing time: 0.08 hours. Matrix solve time: 1.08 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,160,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000 total time: 25.62 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 8167512k/8912896k available (2115k kernel code, 0k reserved, 1306k data, 208k init) Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407682) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127) Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405112) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405126) Total of 4 processors activated (19246.09 BogoMIPS).``` `Core 2 Quad Q6600`

## 5×10162-9

### c163

name 名前 Jo Yeong Uk December 7, 2007 23:42:52 UTC 2007 年 12 月 8 日 (土) 8 時 42 分 52 秒 (日本時間) `4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991<163>` ```68385977371361886229008858431010504877885471<44> 10358845079111018892823016494495871163939965326959587059<56> 7058161771042422170571387133040680162138563583374078964992316019<64>``` ```Number: 49991_162 N=4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991 ( 163 digits) SNFS difficulty: 164 digits. Divisors found: r1=68385977371361886229008858431010504877885471 (pp44) r2=10358845079111018892823016494495871163939965326959587059 (pp56) r3=7058161771042422170571387133040680162138563583374078964992316019 (pp64) Version: GGNFS-0.77.1-20050930-nocona Total time: 48.82 hours. Scaled time: 104.66 units (timescale=2.144). Factorization parameters were as follows: n: 4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991 m: 500000000000000000000000000000000 c5: 4 c0: -225 skew: 2.24 type: snfs Factor base limits: 5000000/5000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 49/49 Sieved algebraic special-q in [2500000, 5100001) Primes: RFBsize:348513, AFBsize:348286, largePrimes:6727746 encountered Relations: rels:6971731, finalFF:855302 Max relations in full relation-set: 28 Initial matrix: 696863 x 855302 with sparse part having weight 63866792. Pruned matrix : 578415 x 581963 with weight 45564381. Total sieving time: 46.21 hours. Total relation processing time: 0.12 hours. Matrix solve time: 2.42 hours. Time per square root: 0.07 hours. Prototype def-par.txt line would be: snfs,164,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,49,49,2.5,2.5,100000 total time: 48.82 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init) Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407675) Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405123) Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405117) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125) Total of 4 processors activated (19246.08 BogoMIPS).``` `Core 2 Quad Q6600`

## 5×10164-9

### c141

name 名前 Robert Backstrom January 28, 2008 07:34:07 UTC 2008 年 1 月 28 日 (月) 16 時 34 分 7 秒 (日本時間) `195428161222409011812961055114770534890245589037899521432990835775370802759420686132267231660937346111618177084790571269325011735617216995631<141>` ```4339455695928017012813559346271651<34> 2130438876068504052547916867650293287718131453411<49> 21138920651137598568207584663615217929520666173979820026871<59>``` ```GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM] Input number is 195428161222409011812961055114770534890245589037899521432990835775370802759420686132267231660937346111618177084790571269325011735617216995631 (141 digits) Using B1=1740000, B2=2140281790, polynomial Dickson(6), sigma=266170674 Step 1 took 18854ms Step 2 took 7395ms ********** Factor found in step 2: 4339455695928017012813559346271651 Found probable prime factor of 34 digits: 4339455695928017012813559346271651 Composite cofactor 45035178353310875346083151105578272111290713326972753456419802659112470613730247332180443661058076304606981 has 107 digits Number: n N=45035178353310875346083151105578272111290713326972753456419802659112470613730247332180443661058076304606981 ( 107 digits) Divisors found: Mon Jan 28 16:51:00 2008 prp49 factor: 2130438876068504052547916867650293287718131453411 Mon Jan 28 16:51:00 2008 prp59 factor: 21138920651137598568207584663615217929520666173979820026871 Mon Jan 28 16:51:00 2008 elapsed time 00:37:13 (Msieve 1.33) Version: GGNFS-0.77.1-20050930-k8 Total time: 8.58 hours. Scaled time: 7.17 units (timescale=0.836). Factorization parameters were as follows: name: KA_4_9_163_1 n: 45035178353310875346083151105578272111290713326972753456419802659112470613730247332180443661058076304606981 skew: 8115.52 # norm 1.71e+15 c5: 154560 c4: 307703758 c3: 145805345482189 c2: -157159415040315452 c1: -3632690209768005682794 c0: -1184546233994452070467176 # alpha -7.03 Y1: 323870616509 Y0: -196286607975166774105 # Murphy_E 1.51e-09 # M 37232403993864362254878977070445837812503056159276185148333904982476946194988434481797403305406657484158305 type: gnfs rlim: 2500000 alim: 2500000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 150000 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved special-q in [100000, 1300289) Primes: RFBsize:183072, AFBsize:183409, largePrimes:4088051 encountered Relations: rels:4006302, finalFF:403691 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Total sieving time: 8.44 hours. Total relation processing time: 0.14 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000 total time: 8.58 hours. --------- CPU info (if available) ---------- CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03 CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03 Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM) Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888) Calibrating delay loop... 6045.69 BogoMIPS (lpj=3022848) Total of 2 processors activated (12009.47 BogoMIPS).```

## 5×10166-9

### c113

name 名前 Jo Yeong Uk December 10, 2007 05:31:28 UTC 2007 年 12 月 10 日 (月) 14 時 31 分 28 秒 (日本時間) `16341926356735026827094185515432260422814688809284832362536839593066759444529868046049647268284701680004884687151<113>` ```423642819486377500810088159556192139680472557229<48> 38574774798609590656685912133706632252046886635615382500322326219<65>``` ```Number: 49991_166 N=16341926356735026827094185515432260422814688809284832362536839593066759444529868046049647268284701680004884687151 ( 113 digits) Divisors found: r1=423642819486377500810088159556192139680472557229 (pp48) r2=38574774798609590656685912133706632252046886635615382500322326219 (pp65) Version: GGNFS-0.77.1-20050930-nocona Total time: 20.00 hours. Scaled time: 42.48 units (timescale=2.124). Factorization parameters were as follows: name: 49991_166 n: 16341926356735026827094185515432260422814688809284832362536839593066759444529868046049647268284701680004884687151 skew: 27295.93 # norm 2.18e+15 c5: 33120 c4: 4441313622 c3: -62567391423243 c2: -2850563779112809232 c1: 20403393653491258023492 c0: 412100355487556686774922021 # alpha -5.81 Y1: 642727557923 Y0: -3456530699039931079782 # Murphy_E 7.71e-10 # M 1551685654449727006542580819033466558148370987093910726938703232431161248973769563550852895364742766086059152787 type: gnfs rlim: 2800000 alim: 2800000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.6 alambda: 2.6 qintsize: 70000 Factor base limits: 2800000/2800000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved algebraic special-q in [1400000, 2380001) Primes: RFBsize:203362, AFBsize:203153, largePrimes:7633589 encountered Relations: rels:7513780, finalFF:534371 Max relations in full relation-set: 28 Initial matrix: 406594 x 534371 with sparse part having weight 51341064. Pruned matrix : 315342 x 317438 with weight 31467716. Polynomial selection time: 1.06 hours. Total sieving time: 18.10 hours. Total relation processing time: 0.14 hours. Matrix solve time: 0.58 hours. Time per square root: 0.12 hours. Prototype def-par.txt line would be: gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2800000,2800000,27,27,50,50,2.6,2.6,70000 total time: 20.00 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init) Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407675) Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405123) Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405117) Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125) Total of 4 processors activated (19246.08 BogoMIPS).``` `Core 2 Quad Q6600`

## 5×10168-9

### c140

name 名前 Dmitry Domanov May 15, 2009 06:20:58 UTC 2009 年 5 月 15 日 (金) 15 時 20 分 58 秒 (日本時間) `56639286848126797554729386539227574885723785334536125536236873465330483256275559559736715759646622674484365026756974688483306430233854963119<140>` ```285672459115302906984888083354597717349768178359030194770540009<63> 198266528819518056600744503449893297480133294347181748253063893651091266424791<78>``` ```Number: 1 N=56639286848126797554729386539227574885723785334536125536236873465330483256275559559736715759646622674484365026756974688483306430233854963119 ( 140 digits) SNFS difficulty: 169 digits. Divisors found: r1=285672459115302906984888083354597717349768178359030194770540009 (pp63) r2=198266528819518056600744503449893297480133294347181748253063893651091266424791 (pp78) Version: GGNFS-0.77.1-VC8 Total time: 52.63 hours. Scaled time: 50.58 units (timescale=0.961). Factorization parameters were as follows: n: 56639286848126797554729386539227574885723785334536125536236873465330483256275559559736715759646622674484365026756974688483306430233854963119 m: 5000000000000000000000000000000000 deg: 5 c5: 8 c0: -45 skew: 1.41 type: snfs lss: 1 rlim: 4700000 alim: 4700000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 4700000/4700000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved rational special-q in [2350000, 4450001) Primes: RFBsize:328964, AFBsize:327919, largePrimes:9912007 encountered Relations: rels:10182561, finalFF:745248 Max relations in full relation-set: 32 Initial matrix: 656948 x 745248 with sparse part having weight 81981595. Pruned matrix : 605955 x 609303 with weight 63712113. Total sieving time: 47.58 hours. Total relation processing time: 0.39 hours. Matrix solve time: 4.17 hours. Time per square root: 0.48 hours. Prototype def-par.txt line would be: snfs,169,5,0,0,0,0,0,0,0,0,4700000,4700000,27,27,52,52,2.4,2.4,100000 total time: 52.63 hours. --------- CPU info (if available) ----------``` `GGNFS-0.77.1-VC8`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 4, 2007 09:00:00 UTC 2007 年 12 月 4 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6255Jo Yeong UkJuly 24, 2008 07:56:07 UTC 2008 年 7 月 24 日 (木) 16 時 56 分 7 秒 (日本時間)
403e6800 / 2267400Dmitry DomanovMay 12, 2009 11:43:10 UTC 2009 年 5 月 12 日 (火) 20 時 43 分 10 秒 (日本時間)
400Dmitry DomanovMay 12, 2009 17:17:22 UTC 2009 年 5 月 13 日 (水) 2 時 17 分 22 秒 (日本時間)

## 5×10171-9

### c170

name 名前 Robert Backstrom December 26, 2007 23:06:17 UTC 2007 年 12 月 27 日 (木) 8 時 6 分 17 秒 (日本時間) `17421602787456445993031358885017421602787456445993031358885017421602787456445993031358885017421602787456445993031358885017421602787456445993031358885017421602787456445993<170>` ```1363684689367687199660001585916252959225073<43> 12775389298778802140820274185385735600606854567622114532762344954306460995067145385939039085787137146377153359945100703455866041<128>``` ```GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM] Input number is 17421602787456445993031358885017421602787456445993031358885017421602787456445993031358885017421602787456445993031358885017421602787456445993031358885017421602787456445993 (170 digits) Using B1=6672000, B2=14271659230, polynomial Dickson(12), sigma=1353186009 Step 1 took 95192ms Step 2 took 34869ms ********** Factor found in step 2: 1363684689367687199660001585916252959225073 Found probable prime factor of 43 digits: 1363684689367687199660001585916252959225073 Probable prime cofactor 12775389298778802140820274185385735600606854567622114532762344954306460995067145385939039085787137146377153359945100703455866041 has 128 digits```

## 5×10175-9

### c147

name 名前 Wataru Sakai September 18, 2011 09:33:47 UTC 2011 年 9 月 18 日 (日) 18 時 33 分 47 秒 (日本時間) `814346849105433026587184984693379979159921862949607103602056869970674308851209491115434146595788024292713227034123102349498046376605687283287509561<147>` `5527783877567354879114187218091240688817<40>` `147318865415521191786297969042571677845185584261086856325818918000957997164018632668374792398463477614925833<108>` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2620444012 Step 1 took 54712ms Step 2 took 21267ms ********** Factor found in step 2: 5527783877567354879114187218091240688817 Found probable prime factor of 40 digits: 5527783877567354879114187218091240688817 Composite cofactor 147318865415521191786297969042571677845185584261086856325818918000957997164018632668374792398463477614925833 has 108 digits``` `GMP-ECM 6.3`

### c108

name 名前 Warut Roonguthai September 18, 2011 23:40:58 UTC 2011 年 9 月 19 日 (月) 8 時 40 分 58 秒 (日本時間) `147318865415521191786297969042571677845185584261086856325818918000957997164018632668374792398463477614925833<108>` ```12611585228798916490707296465532656680368007<44> 11681232988785132136583412787907066881320914122423005884237019119<65>``` ```N = 147318865415521191786297969042571677845185584261086856325818918000957997164018632668374792398463477614925833 (108 digits) Divisors found: r1=12611585228798916490707296465532656680368007 (pp44) r2=11681232988785132136583412787907066881320914122423005884237019119 (pp65) Version: Msieve v. 1.48 Total time: 3.40 hours. Factorization parameters were as follows: n: 147318865415521191786297969042571677845185584261086856325818918000957997164018632668374792398463477614925833 Y0: -464133908511206615088 Y1: 159438904991 c0: -420402344210626094248516649 c1: 20905259782727795701424 c2: 2082627228600190703 c3: -14357156000414 c4: -652252044 c5: 6840 skew: 45728.87 type: gnfs Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 26/26 Sieved algebraic special-q in [0, 0) Total raw relations: 5412675 Relations: 415674 relations Pruned matrix : 265711 x 265936 Polynomial selection time: 0.00 hours. Total sieving time: 3.29 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.08 hours. time per square root: 0.01 hours. Prototype def-par.txt line would be: gnfs,107,5,59,2000,0.0006,0.25,200,15,15000,2000,2500000,2500000,26,26,49,49,2.6,2.6,150000 total time: 3.40 hours. Intel64 Family 6 Model 42 Stepping 7, GenuineIntel Windows-7-6.1.7601-SP1 processors: 4, speed: 2.29GHz```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 4, 2007 09:00:00 UTC 2007 年 12 月 4 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosMay 24, 2010 23:04:40 UTC 2010 年 5 月 25 日 (火) 8 時 4 分 40 秒 (日本時間)
403e62144113Ignacio SantosMay 24, 2010 23:04:40 UTC 2010 年 5 月 25 日 (火) 8 時 4 分 40 秒 (日本時間)
2031Wataru SakaiMay 27, 2010 06:05:51 UTC 2010 年 5 月 27 日 (木) 15 時 5 分 51 秒 (日本時間)
4511e632 / 3991Ignacio SantosMay 24, 2010 23:04:40 UTC 2010 年 5 月 25 日 (火) 8 時 4 分 40 秒 (日本時間)

## 5×10176-9

### c143

name 名前 Warut Roonguthai October 17, 2011 17:57:36 UTC 2011 年 10 月 18 日 (火) 2 時 57 分 36 秒 (日本時間) `32452583217797733946855239496696713634499414553030405737987209797745873900969551181250131058830139824117973838459244140584683880621830253500859<143>` ```2405177340503399638708691672551518337870846459<46> 13492802660033984006612359816895332257537361895695968364623139879859593986052892810542871592481601<98>``` ```N = 32452583217797733946855239496696713634499414553030405737987209797745873900969551181250131058830139824117973838459244140584683880621830253500859 (143 digits) SNFS difficulty: 177 digits. Divisors found: r1=2405177340503399638708691672551518337870846459 (pp46) r2=13492802660033984006612359816895332257537361895695968364623139879859593986052892810542871592481601 (pp98) Version: Msieve v. 1.48 Total time: 29.71 hours. Factorization parameters were as follows: name: 5*10^176-9 n: 32452583217797733946855239496696713634499414553030405737987209797745873900969551181250131058830139824117973838459244140584683880621830253500859 Y0: 100000000000000000000000000000000000 Y1: -1 c0: -9 c1: 0 c2: 0 c3: 0 c4: 0 c5: 50 skew: 0.71 type: snfs Factor base limits: 6200000/6200000 Large primes per side: 3 Large prime bits: 28/28 Sieved rational special-q in [0, 0) Total raw relations: 20190232 Relations: 2224588 relations Pruned matrix : 1267875 x 1268101 Polynomial selection time: 0.00 hours. Total sieving time: 27.60 hours. Total relation processing time: 0.11 hours. Matrix solve time: 1.95 hours. time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,55,55,2.5,2.5,100000 total time: 29.71 hours. Intel64 Family 6 Model 42 Stepping 7, GenuineIntel Windows-7-6.1.7601-SP1 processors: 4, speed: 2.29GHz```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 4, 2007 09:00:00 UTC 2007 年 12 月 4 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336300Dmitry DomanovMay 13, 2011 12:15:59 UTC 2011 年 5 月 13 日 (金) 21 時 15 分 59 秒 (日本時間)
2036Wataru SakaiJune 4, 2011 03:13:28 UTC 2011 年 6 月 4 日 (土) 12 時 13 分 28 秒 (日本時間)
4511e64000Wataru SakaiAugust 26, 2011 04:32:39 UTC 2011 年 8 月 26 日 (金) 13 時 32 分 39 秒 (日本時間)

## 5×10177-9

### c163

name 名前 Serge Batalov October 12, 2011 02:44:42 UTC 2011 年 10 月 12 日 (水) 11 時 44 分 42 秒 (日本時間) `4034156768226262400625832750645532618487163342228300918890968936567408802213852919962531922187791539086563799289918323657254658645785045127990155221380602327193423<163>` ```3106048752128519385508195503158167772519<40> 1298806647983785596528523979146652933866457893477761801393520649313857242439698327529459742393360224736155505255204495187417<124>``` ```Input number is 4034156768226262400625832750645532618487163342228300918890968936567408802213852919962531922187791539086563799289918323657254658645785045127990155221380602327193423 (163 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2193548319 Step 1 took 42206ms Step 2 took 15829ms ********** Factor found in step 2: 3106048752128519385508195503158167772519 Found probable prime factor of 40 digits: 3106048752128519385508195503158167772519 Probable prime cofactor 129880664798... has 124 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 4, 2007 09:00:00 UTC 2007 年 12 月 4 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovMay 13, 2011 12:16:22 UTC 2011 年 5 月 13 日 (金) 21 時 16 分 22 秒 (日本時間)
4511e6600 / 4413Serge BatalovOctober 12, 2011 02:42:53 UTC 2011 年 10 月 12 日 (水) 11 時 42 分 53 秒 (日本時間)

## 5×10178-9

### c158

name 名前 Dmitry Domanov December 14, 2012 06:44:13 UTC 2012 年 12 月 14 日 (金) 15 時 44 分 13 秒 (日本時間) `63891425873024801111954788889059187665618026061230063752101552288701637321591178899808835589041249636495115169957867556683686440148042370080972369652954595469<158>` ```1345913935872960548390358124629459656000261160856127000840812914157594141<73> 47470662254184020881014826579875844426717829023263974921910560557458960669934650620209<86>``` ```N=63891425873024801111954788889059187665618026061230063752101552288701637321591178899808835589041249636495115169957867556683686440148042370080972369652954595469 ( 158 digits) SNFS difficulty: 179 digits. Divisors found: r1=1345913935872960548390358124629459656000261160856127000840812914157594141 (pp73) r2=47470662254184020881014826579875844426717829023263974921910560557458960669934650620209 (pp86) Version: Msieve-1.40 Total time: 86.81 hours. Scaled time: 161.98 units (timescale=1.866). Factorization parameters were as follows: n: 63891425873024801111954788889059187665618026061230063752101552288701637321591178899808835589041249636495115169957867556683686440148042370080972369652954595469 m: 500000000000000000000000000000000000 deg: 5 c5: 8 c0: -45 skew: 1.41 # Murphy_E = 1.427e-10 type: snfs lss: 1 rlim: 6800000 alim: 6800000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 qintsize: 400000 Factor base limits: 6800000/6800000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [3400000, 7400001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1218984 x 1219217 Total sieving time: 84.84 hours. Total relation processing time: 0.16 hours. Matrix solve time: 1.67 hours. Time per square root: 0.13 hours. Prototype def-par.txt line would be: snfs,179.000,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000 total time: 86.81 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 4, 2007 09:00:00 UTC 2007 年 12 月 4 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336300Dmitry DomanovMay 13, 2011 12:16:32 UTC 2011 年 5 月 13 日 (金) 21 時 16 分 32 秒 (日本時間)
2036Wataru SakaiMarch 21, 2012 12:39:55 UTC 2012 年 3 月 21 日 (水) 21 時 39 分 55 秒 (日本時間)

## 5×10181-9

### c151

name 名前 Dmitry Domanov December 14, 2012 09:25:54 UTC 2012 年 12 月 14 日 (金) 18 時 25 分 54 秒 (日本時間) `1701951876263961688320518423723732952558913879977403679630937352127102519641470860122331975385460696209585658141802849509672762928419800751567795718201<151>` ```1492967389047169323869609972472013006063<40> 1139979271315610522600095730084012387501182101110914555891037280480043011173458096504960591380017667046403421527<112>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=244070835 Step 1 took 23759ms Step 2 took 181ms ********** Factor found in step 2: 1492967389047169323869609972472013006063 Found probable prime factor of 40 digits: 1492967389047169323869609972472013006063```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 4, 2007 09:00:00 UTC 2007 年 12 月 4 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovMay 13, 2011 12:16:41 UTC 2011 年 5 月 13 日 (金) 21 時 16 分 41 秒 (日本時間)

## 5×10182-9

### c126

name 名前 Sinkiti Sibata January 28, 2010 23:59:46 UTC 2010 年 1 月 29 日 (金) 8 時 59 分 46 秒 (日本時間) `313931869964645436166903481274618282296450528024981861101110900348370925684809758208142245133617606646248121632183690389117491<126>` ```512529666008525734935878960871640359760624350739<48> 612514534835576326617008267764327259199181374791989667327652670231175206473569<78>``` ```Number: 49991_182 N=313931869964645436166903481274618282296450528024981861101110900348370925684809758208142245133617606646248121632183690389117491 ( 126 digits) Divisors found: r1=512529666008525734935878960871640359760624350739 (pp48) r2=612514534835576326617008267764327259199181374791989667327652670231175206473569 (pp78) Version: Msieve v. 1.42 Total time: 4.57 hours. Scaled time: 3.64 units (timescale=0.796). Factorization parameters were as follows: name: 49991_182 # Murphy_E = 1.458371e-10, selected by Jeff Gilchrist n: 313931869964645436166903481274618282296450528024981861101110900348370925684809758208142245133617606646248121632183690389117491 Y0: -1649861535846594110734366 Y1: 55242780953767 c0: 252955520507288002780907656425 c1: 19389250887977702724998136 c2: -94000484924083180481 c3: -4009155450107396 c4: 5119769436 c5: 25680 skew: 150155.2 type: gnfs # selected mechanically rlim: 7400000 alim: 7400000 lpbr: 27 lpba: 27 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 7400000/7400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 53/53 Sieved algebraic special-q in [3700000, 7200001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1032536 x 1032767 Total sieving time: 0.00 hours. Total relation processing time: 0.13 hours. Matrix solve time: 3.54 hours. Time per square root: 0.89 hours. Prototype def-par.txt line would be: gnfs,125,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,7400000,7400000,27,27,53,53,2.5,2.5,100000 total time: 4.57 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 02 CPU1: Intel(R) Core(TM)2 CPU 6300 @ 1.86GHz stepping 02 Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.24 BogoMIPS (lpj=1860624) Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860570) Total of 2 processors activated (7442.38 BogoMIPS). Total time: 3.5 days.```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 4, 2007 09:00:00 UTC 2007 年 12 月 4 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336500Erik BrangerMarch 6, 2009 15:09:26 UTC 2009 年 3 月 7 日 (土) 0 時 9 分 26 秒 (日本時間)
1836Wataru SakaiJanuary 24, 2010 06:09:33 UTC 2010 年 1 月 24 日 (日) 15 時 9 分 33 秒 (日本時間)

## 5×10183-9

### c155

name 名前 Dmitry Domanov May 13, 2011 16:09:12 UTC 2011 年 5 月 14 日 (土) 1 時 9 分 12 秒 (日本時間) `93949040516629962435061239721493549452086382942492026324376396964628175032607883758795938126495833124599204609699474218409066607064899416838237505561846313<155>` `291008170645721972448641263648457<33>` `322839871843340905526166454628986093407853954817950754805428064066832128844136036459561898875093239519686322795408282048609<123>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1488224249 Step 1 took 60916ms Step 2 took 22989ms ********** Factor found in step 2: 291008170645721972448641263648457 Found probable prime factor of 33 digits: 291008170645721972448641263648457 Composite cofactor 322839871843340905526166454628986093407853954817950754805428064066832128844136036459561898875093239519686322795408282048609 has 123 digits```

### c123

name 名前 Dmitry Domanov May 14, 2011 14:32:42 UTC 2011 年 5 月 14 日 (土) 23 時 32 分 42 秒 (日本時間) `322839871843340905526166454628986093407853954817950754805428064066832128844136036459561898875093239519686322795408282048609<123>` ```195504673910242933017463257227303<33> 112239363256296068454677594340791669205919<42> 14712444159598157908571341216817428295929086252137<50>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=829974605 Step 1 took 38657ms Step 2 took 17075ms ********** Factor found in step 2: 195504673910242933017463257227303 Found probable prime factor of 33 digits: 195504673910242933017463257227303 Composite cofactor 1651315364417109175095450627600492138539518273933929974069930898339455745158144558606798903 has 91 digits Sat May 14 16:16:52 2011 Msieve v. 1.48 Sat May 14 16:16:52 2011 random seeds: cfe2de98 67ee4ba8 Sat May 14 16:16:52 2011 factoring 1651315364417109175095450627600492138539518273933929974069930898339455745158144558606798903 (91 digits) Sat May 14 16:16:53 2011 searching for 15-digit factors Sat May 14 16:16:53 2011 commencing quadratic sieve (91-digit input) Sat May 14 16:16:53 2011 using multiplier of 2 Sat May 14 16:16:53 2011 using 32kb Intel Core sieve core Sat May 14 16:16:53 2011 sieve interval: 36 blocks of size 32768 Sat May 14 16:16:53 2011 processing polynomials in batches of 6 Sat May 14 16:16:53 2011 using a sieve bound of 1649677 (62353 primes) Sat May 14 16:16:53 2011 using large prime bound of 145171576 (27 bits) Sat May 14 16:16:53 2011 using double large prime bound of 491345248212808 (42-49 bits) Sat May 14 16:16:53 2011 using trial factoring cutoff of 49 bits Sat May 14 16:16:53 2011 polynomial 'A' values have 12 factors Sat May 14 17:29:55 2011 62470 relations (16235 full + 46235 combined from 696153 partial), need 62449 Sat May 14 17:29:56 2011 begin with 712388 relations Sat May 14 17:29:56 2011 reduce to 153593 relations in 10 passes Sat May 14 17:29:56 2011 attempting to read 153593 relations Sat May 14 17:29:57 2011 recovered 153593 relations Sat May 14 17:29:57 2011 recovered 133480 polynomials Sat May 14 17:29:57 2011 attempting to build 62470 cycles Sat May 14 17:29:57 2011 found 62470 cycles in 5 passes Sat May 14 17:29:57 2011 distribution of cycle lengths: Sat May 14 17:29:57 2011 length 1 : 16235 Sat May 14 17:29:57 2011 length 2 : 12098 Sat May 14 17:29:57 2011 length 3 : 10893 Sat May 14 17:29:57 2011 length 4 : 8517 Sat May 14 17:29:57 2011 length 5 : 5893 Sat May 14 17:29:57 2011 length 6 : 3853 Sat May 14 17:29:57 2011 length 7 : 2263 Sat May 14 17:29:57 2011 length 9+: 2718 Sat May 14 17:29:57 2011 largest cycle: 17 relations Sat May 14 17:29:57 2011 matrix is 62353 x 62470 (15.5 MB) with weight 3812846 (61.03/col) Sat May 14 17:29:57 2011 sparse part has weight 3812846 (61.03/col) Sat May 14 17:29:58 2011 filtering completed in 3 passes Sat May 14 17:29:58 2011 matrix is 58563 x 58627 (14.7 MB) with weight 3608569 (61.55/col) Sat May 14 17:29:58 2011 sparse part has weight 3608569 (61.55/col) Sat May 14 17:29:58 2011 saving the first 48 matrix rows for later Sat May 14 17:29:58 2011 matrix includes 64 packed rows Sat May 14 17:29:58 2011 matrix is 58515 x 58627 (9.4 MB) with weight 2857879 (48.75/col) Sat May 14 17:29:58 2011 sparse part has weight 2122586 (36.20/col) Sat May 14 17:29:58 2011 using block size 23406 for processor cache size 6144 kB Sat May 14 17:29:59 2011 commencing Lanczos iteration Sat May 14 17:29:59 2011 memory use: 6.3 MB Sat May 14 17:30:16 2011 lanczos halted after 926 iterations (dim = 58511) Sat May 14 17:30:16 2011 recovered 15 nontrivial dependencies Sat May 14 17:30:16 2011 prp42 factor: 112239363256296068454677594340791669205919 Sat May 14 17:30:16 2011 prp50 factor: 14712444159598157908571341216817428295929086252137 Sat May 14 17:30:16 2011 elapsed time 01:13:24```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 4, 2007 09:00:00 UTC 2007 年 12 月 4 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovMay 13, 2011 12:18:28 UTC 2011 年 5 月 13 日 (金) 21 時 18 分 28 秒 (日本時間)

## 5×10186-9

### c166

name 名前 Andreas Tete August 12, 2013 14:00:32 UTC 2013 年 8 月 12 日 (月) 23 時 0 分 32 秒 (日本時間) `2564765138774377852866737584690272117522957063427220218552309628253207246207068020191542270581631549221339003904884670202322185345622309464495144684256227074722108519<166>` ```1789102729291124948044349702266201164169636186245050771<55> 1433548279136874640910543281949644884577370261766670767200051771583586600892181744029840964925338025008287376989<112>``` ```Wed Aug 07 12:42:17 2013 -> factmsieve.py (v0.76) Wed Aug 07 12:42:17 2013 -> This is client 1 of 1 Wed Aug 07 12:42:17 2013 -> Running on 2 Cores with 2 hyper-threads per Core Wed Aug 07 12:42:17 2013 -> Working with NAME = 49991_186 Wed Aug 07 12:42:17 2013 -> Selected lattice siever: gnfs-lasieve4I13e Wed Aug 07 12:42:17 2013 -> Creating param file to detect parameter changes... Wed Aug 07 12:42:17 2013 -> Running setup ... Wed Aug 07 12:42:17 2013 -> Estimated minimum relations needed: 1.86822e+07 Wed Aug 07 12:42:17 2013 -> cleaning up before a restart Wed Aug 07 12:42:17 2013 -> Running lattice siever ... Wed Aug 07 12:42:17 2013 -> entering sieving loop Sun Aug 11 21:19:10 2013 Found 21097210 relations, 112.9% of the estimated minimum (18682223). Sun Aug 11 21:19:11 2013 Sun Aug 11 21:19:11 2013 Sun Aug 11 21:19:11 2013 Msieve v. 1.52 (SVN 927) Sun Aug 11 21:19:11 2013 random seeds: 55630f10 70cf76a5 Sun Aug 11 21:19:11 2013 factoring 2564765138774377852866737584690272117522957063427220218552309628253207246207068020191542270581631549221339003904884670202322185345622309464495144684256227074722108519 (166 digits) Sun Aug 11 21:19:14 2013 searching for 15-digit factors Sun Aug 11 21:19:17 2013 commencing number field sieve (166-digit input) Sun Aug 11 21:19:17 2013 R0: -10000000000000000000000000000000000000 Sun Aug 11 21:19:17 2013 R1: 1 Sun Aug 11 21:19:17 2013 A0: -9 Sun Aug 11 21:19:17 2013 A1: 0 Sun Aug 11 21:19:17 2013 A2: 0 Sun Aug 11 21:19:17 2013 A3: 0 Sun Aug 11 21:19:17 2013 A4: 0 Sun Aug 11 21:19:17 2013 A5: 50 Sun Aug 11 21:19:17 2013 skew 0.71, size 6.018e-013, alpha 0.362, combined = 5.961e-011 rroots = 1 Sun Aug 11 21:19:18 2013 Sun Aug 11 21:19:18 2013 commencing relation filtering Sun Aug 11 21:19:18 2013 estimated available RAM is 3884.5 MB Sun Aug 11 21:19:18 2013 commencing duplicate removal, pass 1 Sun Aug 11 21:31:18 2013 found 2631149 hash collisions in 21097209 relations Sun Aug 11 21:33:20 2013 added 612 free relations Sun Aug 11 21:33:20 2013 commencing duplicate removal, pass 2 Sun Aug 11 21:33:53 2013 found 2226514 duplicates and 18871307 unique relations Sun Aug 11 21:33:53 2013 memory use: 98.6 MB Sun Aug 11 21:33:53 2013 reading ideals above 720000 Sun Aug 11 21:33:54 2013 commencing singleton removal, initial pass Sun Aug 11 21:46:28 2013 memory use: 689.0 MB Sun Aug 11 21:46:28 2013 reading all ideals from disk Sun Aug 11 21:46:31 2013 memory use: 593.0 MB Sun Aug 11 21:46:35 2013 keeping 21101947 ideals with weight <= 200, target excess is 116477 Sun Aug 11 21:46:38 2013 commencing in-memory singleton removal Sun Aug 11 21:46:42 2013 begin with 18871307 relations and 21101947 unique ideals Sun Aug 11 21:47:16 2013 reduce to 7295281 relations and 7069770 ideals in 21 passes Sun Aug 11 21:47:16 2013 max relations containing the same ideal: 102 Sun Aug 11 21:47:24 2013 removing 570059 relations and 524860 ideals in 45199 cliques Sun Aug 11 21:47:25 2013 commencing in-memory singleton removal Sun Aug 11 21:47:26 2013 begin with 6725222 relations and 7069770 unique ideals Sun Aug 11 21:47:37 2013 reduce to 6683819 relations and 6503109 ideals in 10 passes Sun Aug 11 21:47:37 2013 max relations containing the same ideal: 96 Sun Aug 11 21:47:44 2013 removing 413447 relations and 368248 ideals in 45199 cliques Sun Aug 11 21:47:45 2013 commencing in-memory singleton removal Sun Aug 11 21:47:46 2013 begin with 6270372 relations and 6503109 unique ideals Sun Aug 11 21:47:55 2013 reduce to 6247372 relations and 6111662 ideals in 8 passes Sun Aug 11 21:47:55 2013 max relations containing the same ideal: 95 Sun Aug 11 21:48:05 2013 relations with 0 large ideals: 2964 Sun Aug 11 21:48:05 2013 relations with 1 large ideals: 1070 Sun Aug 11 21:48:05 2013 relations with 2 large ideals: 18891 Sun Aug 11 21:48:05 2013 relations with 3 large ideals: 141682 Sun Aug 11 21:48:05 2013 relations with 4 large ideals: 570593 Sun Aug 11 21:48:05 2013 relations with 5 large ideals: 1321163 Sun Aug 11 21:48:05 2013 relations with 6 large ideals: 1871315 Sun Aug 11 21:48:05 2013 relations with 7+ large ideals: 2319694 Sun Aug 11 21:48:05 2013 commencing 2-way merge Sun Aug 11 21:48:15 2013 reduce to 3593531 relation sets and 3457821 unique ideals Sun Aug 11 21:48:16 2013 commencing full merge Sun Aug 11 21:50:44 2013 memory use: 413.8 MB Sun Aug 11 21:50:45 2013 found 1818992 cycles, need 1804021 Sun Aug 11 21:50:46 2013 weight of 1804021 cycles is about 126464748 (70.10/cycle) Sun Aug 11 21:50:46 2013 distribution of cycle lengths: Sun Aug 11 21:50:46 2013 1 relations: 258922 Sun Aug 11 21:50:46 2013 2 relations: 225231 Sun Aug 11 21:50:46 2013 3 relations: 212010 Sun Aug 11 21:50:46 2013 4 relations: 183915 Sun Aug 11 21:50:46 2013 5 relations: 159763 Sun Aug 11 21:50:46 2013 6 relations: 133677 Sun Aug 11 21:50:46 2013 7 relations: 114285 Sun Aug 11 21:50:46 2013 8 relations: 95111 Sun Aug 11 21:50:46 2013 9 relations: 78382 Sun Aug 11 21:50:46 2013 10+ relations: 342725 Sun Aug 11 21:50:46 2013 heaviest cycle: 25 relations Sun Aug 11 21:50:46 2013 commencing cycle optimization Sun Aug 11 21:50:53 2013 start with 10571416 relations Sun Aug 11 21:51:42 2013 pruned 216920 relations Sun Aug 11 21:51:42 2013 memory use: 357.7 MB Sun Aug 11 21:51:42 2013 distribution of cycle lengths: Sun Aug 11 21:51:42 2013 1 relations: 258922 Sun Aug 11 21:51:42 2013 2 relations: 229825 Sun Aug 11 21:51:42 2013 3 relations: 218333 Sun Aug 11 21:51:42 2013 4 relations: 187440 Sun Aug 11 21:51:42 2013 5 relations: 162345 Sun Aug 11 21:51:42 2013 6 relations: 134714 Sun Aug 11 21:51:42 2013 7 relations: 114223 Sun Aug 11 21:51:42 2013 8 relations: 94166 Sun Aug 11 21:51:42 2013 9 relations: 77503 Sun Aug 11 21:51:42 2013 10+ relations: 326550 Sun Aug 11 21:51:42 2013 heaviest cycle: 25 relations Sun Aug 11 21:51:46 2013 RelProcTime: 1948 Sun Aug 11 21:51:46 2013 elapsed time 00:32:35 Sun Aug 11 21:51:46 2013 LatSieveTime: 7607.49 Sun Aug 11 21:51:46 2013 -> Running matrix solving step ... Sun Aug 11 21:51:46 2013 Sun Aug 11 21:51:46 2013 Sun Aug 11 21:51:46 2013 Msieve v. 1.52 (SVN 927) Sun Aug 11 21:51:46 2013 random seeds: 8f014cf0 6da1613e Sun Aug 11 21:51:46 2013 factoring 2564765138774377852866737584690272117522957063427220218552309628253207246207068020191542270581631549221339003904884670202322185345622309464495144684256227074722108519 (166 digits) Sun Aug 11 21:51:50 2013 searching for 15-digit factors Sun Aug 11 21:51:53 2013 commencing number field sieve (166-digit input) Sun Aug 11 21:51:53 2013 R0: -10000000000000000000000000000000000000 Sun Aug 11 21:51:53 2013 R1: 1 Sun Aug 11 21:51:53 2013 A0: -9 Sun Aug 11 21:51:53 2013 A1: 0 Sun Aug 11 21:51:53 2013 A2: 0 Sun Aug 11 21:51:53 2013 A3: 0 Sun Aug 11 21:51:53 2013 A4: 0 Sun Aug 11 21:51:53 2013 A5: 50 Sun Aug 11 21:51:53 2013 skew 0.71, size 6.018e-013, alpha 0.362, combined = 5.961e-011 rroots = 1 Sun Aug 11 21:51:53 2013 Sun Aug 11 21:51:53 2013 commencing linear algebra Sun Aug 11 21:51:54 2013 read 1804021 cycles Sun Aug 11 21:52:02 2013 cycles contain 6082019 unique relations Sun Aug 11 21:55:35 2013 read 6082019 relations Sun Aug 11 21:55:56 2013 using 20 quadratic characters above 268435338 Sun Aug 11 21:57:30 2013 building initial matrix Sun Aug 11 22:00:28 2013 memory use: 740.6 MB Sun Aug 11 22:00:32 2013 read 1804021 cycles Sun Aug 11 22:00:34 2013 matrix is 1803844 x 1804021 (542.4 MB) with weight 160893074 (89.19/col) Sun Aug 11 22:00:34 2013 sparse part has weight 122338026 (67.81/col) Sun Aug 11 22:01:22 2013 filtering completed in 2 passes Sun Aug 11 22:01:24 2013 matrix is 1800828 x 1801005 (542.1 MB) with weight 160791816 (89.28/col) Sun Aug 11 22:01:24 2013 sparse part has weight 122303655 (67.91/col) Sun Aug 11 22:01:34 2013 matrix starts at (0, 0) Sun Aug 11 22:01:36 2013 matrix is 1800828 x 1801005 (542.1 MB) with weight 160791816 (89.28/col) Sun Aug 11 22:01:36 2013 sparse part has weight 122303655 (67.91/col) Sun Aug 11 22:01:36 2013 saving the first 48 matrix rows for later Sun Aug 11 22:01:38 2013 matrix includes 64 packed rows Sun Aug 11 22:01:39 2013 matrix is 1800780 x 1801005 (517.2 MB) with weight 129258495 (71.77/col) Sun Aug 11 22:01:39 2013 sparse part has weight 117581355 (65.29/col) Sun Aug 11 22:01:39 2013 using block size 8192 and superblock size 294912 for processor cache size 3072 kB Sun Aug 11 22:02:06 2013 commencing Lanczos iteration (4 threads) Sun Aug 11 22:02:06 2013 memory use: 415.0 MB Sun Aug 11 22:02:36 2013 linear algebra at 0.1%, ETA 9h31m Sun Aug 11 22:02:46 2013 checkpointing every 190000 dimensions Mon Aug 12 07:20:28 2013 lanczos halted after 28480 iterations (dim = 1800777) Mon Aug 12 07:20:39 2013 recovered 38 nontrivial dependencies Mon Aug 12 07:20:39 2013 BLanczosTime: 34126 Mon Aug 12 07:20:39 2013 elapsed time 09:28:53 Mon Aug 12 07:20:39 2013 -> Running square root step ... Mon Aug 12 07:20:39 2013 Mon Aug 12 07:20:39 2013 Mon Aug 12 07:20:39 2013 Msieve v. 1.52 (SVN 927) Mon Aug 12 07:20:39 2013 random seeds: 9cba76b0 fbdaf2aa Mon Aug 12 07:20:39 2013 factoring 2564765138774377852866737584690272117522957063427220218552309628253207246207068020191542270581631549221339003904884670202322185345622309464495144684256227074722108519 (166 digits) Mon Aug 12 07:20:43 2013 searching for 15-digit factors Mon Aug 12 07:20:46 2013 commencing number field sieve (166-digit input) Mon Aug 12 07:20:46 2013 R0: -10000000000000000000000000000000000000 Mon Aug 12 07:20:46 2013 R1: 1 Mon Aug 12 07:20:46 2013 A0: -9 Mon Aug 12 07:20:46 2013 A1: 0 Mon Aug 12 07:20:46 2013 A2: 0 Mon Aug 12 07:20:46 2013 A3: 0 Mon Aug 12 07:20:46 2013 A4: 0 Mon Aug 12 07:20:46 2013 A5: 50 Mon Aug 12 07:20:46 2013 skew 0.71, size 6.018e-013, alpha 0.362, combined = 5.961e-011 rroots = 1 Mon Aug 12 07:20:46 2013 Mon Aug 12 07:20:46 2013 commencing square root phase Mon Aug 12 07:20:46 2013 reading relations for dependency 1 Mon Aug 12 07:20:48 2013 read 901163 cycles Mon Aug 12 07:20:52 2013 cycles contain 3041918 unique relations Mon Aug 12 07:22:48 2013 read 3041918 relations Mon Aug 12 07:23:33 2013 multiplying 3041918 relations Mon Aug 12 07:29:27 2013 multiply complete, coefficients have about 84.59 million bits Mon Aug 12 07:29:30 2013 initial square root is modulo 1179251 Mon Aug 12 07:37:12 2013 GCD is 1, no factor found Mon Aug 12 07:37:12 2013 reading relations for dependency 2 Mon Aug 12 07:37:14 2013 read 900360 cycles Mon Aug 12 07:37:18 2013 cycles contain 3037058 unique relations Mon Aug 12 07:39:15 2013 read 3037058 relations Mon Aug 12 07:39:59 2013 multiplying 3037058 relations Mon Aug 12 07:45:52 2013 multiply complete, coefficients have about 84.45 million bits Mon Aug 12 07:45:54 2013 initial square root is modulo 1152391 Mon Aug 12 07:53:27 2013 GCD is 1, no factor found Mon Aug 12 07:53:27 2013 reading relations for dependency 3 Mon Aug 12 07:53:29 2013 read 901801 cycles Mon Aug 12 07:53:33 2013 cycles contain 3044196 unique relations Mon Aug 12 07:55:31 2013 read 3044196 relations Mon Aug 12 07:56:14 2013 multiplying 3044196 relations Mon Aug 12 08:02:08 2013 multiply complete, coefficients have about 84.65 million bits Mon Aug 12 08:02:10 2013 initial square root is modulo 1191191 Mon Aug 12 08:10:04 2013 GCD is N, no factor found Mon Aug 12 08:10:04 2013 reading relations for dependency 4 Mon Aug 12 08:10:05 2013 read 900535 cycles Mon Aug 12 08:10:09 2013 cycles contain 3042146 unique relations Mon Aug 12 08:12:07 2013 read 3042146 relations Mon Aug 12 08:12:52 2013 multiplying 3042146 relations Mon Aug 12 08:18:54 2013 multiply complete, coefficients have about 84.59 million bits Mon Aug 12 08:18:56 2013 initial square root is modulo 1179901 Mon Aug 12 08:26:46 2013 GCD is N, no factor found Mon Aug 12 08:26:46 2013 reading relations for dependency 5 Mon Aug 12 08:26:48 2013 read 900126 cycles Mon Aug 12 08:26:51 2013 cycles contain 3040342 unique relations Mon Aug 12 08:28:49 2013 read 3040342 relations Mon Aug 12 08:29:33 2013 multiplying 3040342 relations Mon Aug 12 08:35:34 2013 multiply complete, coefficients have about 84.54 million bits Mon Aug 12 08:35:37 2013 initial square root is modulo 1169741 Mon Aug 12 08:43:25 2013 GCD is N, no factor found Mon Aug 12 08:43:25 2013 reading relations for dependency 6 Mon Aug 12 08:43:27 2013 read 901531 cycles Mon Aug 12 08:43:31 2013 cycles contain 3042264 unique relations Mon Aug 12 08:45:40 2013 read 3042264 relations Mon Aug 12 08:46:34 2013 multiplying 3042264 relations Mon Aug 12 08:53:09 2013 multiply complete, coefficients have about 84.59 million bits Mon Aug 12 08:53:11 2013 initial square root is modulo 1180591 Mon Aug 12 09:01:17 2013 GCD is N, no factor found Mon Aug 12 09:01:17 2013 reading relations for dependency 7 Mon Aug 12 09:01:19 2013 read 900770 cycles Mon Aug 12 09:01:23 2013 cycles contain 3039960 unique relations Mon Aug 12 09:03:35 2013 read 3039960 relations Mon Aug 12 09:04:26 2013 multiplying 3039960 relations Mon Aug 12 09:10:37 2013 multiply complete, coefficients have about 84.53 million bits Mon Aug 12 09:10:39 2013 initial square root is modulo 1167731 Mon Aug 12 09:18:22 2013 sqrtTime: 7056 Mon Aug 12 09:18:22 2013 prp55 factor: 1789102729291124948044349702266201164169636186245050771 Mon Aug 12 09:18:22 2013 prp112 factor: 1433548279136874640910543281949644884577370261766670767200051771583586600892181744029840964925338025008287376989 Mon Aug 12 09:18:22 2013 elapsed time 01:57:43 Mon Aug 12 09:18:22 2013 -> Computing 1.37629e+09 scale for this machine... Mon Aug 12 09:18:22 2013 -> procrels -speedtest> PIPE Total Time ~ 116 hours 36 minutes``` `factmsieve.py v0.76 via msieve 1.52 (SVN 927)` `Core i 3-350M @ 2.33 GHz / Win 7 Home Premium 64bit`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 4, 2007 09:00:00 UTC 2007 年 12 月 4 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovMay 13, 2011 12:18:43 UTC 2011 年 5 月 13 日 (金) 21 時 18 分 43 秒 (日本時間)
1000Dmitry DomanovDecember 18, 2012 06:27:52 UTC 2012 年 12 月 18 日 (火) 15 時 27 分 52 秒 (日本時間)
4511e6600 / 4192Dmitry DomanovFebruary 7, 2013 21:31:59 UTC 2013 年 2 月 8 日 (金) 6 時 31 分 59 秒 (日本時間)

## 5×10187-9

### c134

name 名前 Robert Backstrom May 1, 2012 05:58:20 UTC 2012 年 5 月 1 日 (火) 14 時 58 分 20 秒 (日本時間) `30967125564716283061568564024767246845894561030699635545073035951593262834657059559642547302094098596230080952290801214506068294173953<134>` ```114797559829036670510462101248717556392985309259377<51> 269754214382556229385406517510681575920015777195740966100164836361559106388730982289<84>``` ```Number: n N=30967125564716283061568564024767246845894561030699635545073035951593262834657059559642547302094098596230080952290801214506068294173953 ( 134 digits) Divisors found: Tue May 1 15:35:49 2012 prp51 factor: 114797559829036670510462101248717556392985309259377 Tue May 1 15:35:49 2012 prp84 factor: 269754214382556229385406517510681575920015777195740966100164836361559106388730982289 Tue May 1 15:35:49 2012 elapsed time 02:42:29 (Msieve 1.44 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.090). Factorization parameters were as follows: name: KA_49991_187 n: 30967125564716283061568564024767246845894561030699635545073035951593262834657059559642547302094098596230080952290801214506068294173953 skew: 300555.37 # norm 8.06e+18 c5: 73320 c4: 494519896538 c3: -7079510618750733 c2: -36737433719125244520249 c1: 665055213007447574469237861 c0: 312351849156886248944066053407615 # alpha -6.71 Y1: 42497186921849 Y0: -53104976249755422418383454 # Murphy_E 4.16e-11 # M 1291564886152949013215481306630125599498792912665847309908155831870534359626771162737702985027107456060251798528247158402254412988268 type: gnfs rlim: 5400000 alim: 5400000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.5 alambda: 2.5 qintsize: 60000 Factor base limits: 5400000/5400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved special-q in [100000, 24960000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3029164 hash collisions in 12847480 relations (9709457 unique) Msieve: matrix is 1335669 x 1335894 (387.5 MB) Total sieving time: 0.00 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: gnfs,133,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,51,51,2.5,2.5,60000 total time: 0.00 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU Q9550 @ 2.83GHz stepping 07 CPU1: Intel(R) Core(TM)2 Quad CPU Q9550 @ 2.83GHz stepping 07 CPU2: Intel(R) Core(TM)2 Quad CPU Q9550 @ 2.83GHz stepping 07 CPU3: Intel(R) Core(TM)2 Quad CPU Q9550 @ 2.83GHz stepping 07 Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.55 BogoMIPS (lpj=2830779) Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830450) Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457) Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830462) Total of 4 processors activated (22644.29 BogoMIPS).```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 4, 2007 09:00:00 UTC 2007 年 12 月 4 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61070300Dmitry DomanovMay 13, 2011 12:18:54 UTC 2011 年 5 月 13 日 (金) 21 時 18 分 54 秒 (日本時間)
770Ignacio SantosJuly 14, 2011 08:32:29 UTC 2011 年 7 月 14 日 (木) 17 時 32 分 29 秒 (日本時間)
4511e6220 / 4028Ignacio SantosJuly 14, 2011 08:32:29 UTC 2011 年 7 月 14 日 (木) 17 時 32 分 29 秒 (日本時間)
5043e661 / 7464Ignacio SantosJuly 14, 2011 08:32:29 UTC 2011 年 7 月 14 日 (木) 17 時 32 分 29 秒 (日本時間)

## 5×10188-9

### c175

name 名前 Robert Backstrom March 4, 2012 03:03:00 UTC 2012 年 3 月 4 日 (日) 12 時 3 分 0 秒 (日本時間) `1906643680880247301441754998280441912271222439125798546825859943768266358713198310561095529897715981219833614070227053485309734560087326405800136648963949345730883268498747409<175>` ```3150749030563853522210430614191637955029256134898597237886651<61> 605139813544285082631620014759031682025155066443297582752364276388607781348352883428475711921927225782270483185059<114>``` ```Number: n N=1906643680880247301441754998280441912271222439125798546825859943768266358713198310561095529897715981219833614070227053485309734560087326405800136648963949345730883268498747409 ( 175 digits) SNFS difficulty: 188 digits. Divisors found: Sun Mar 4 13:59:05 2012 prp61 factor: 3150749030563853522210430614191637955029256134898597237886651 Sun Mar 4 13:59:05 2012 prp114 factor: 605139813544285082631620014759031682025155066443297582752364276388607781348352883428475711921927225782270483185059 Sun Mar 4 13:59:05 2012 elapsed time 03:03:22 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=1.654). Factorization parameters were as follows: name: KA_49991_188 n: 1906643680880247301441754998280441912271222439125798546825859943768266358713198310561095529897715981219833614070227053485309734560087326405800136648963949345730883268498747409 m: 10000000000000000000000000000000000000 # c175, diff: 188.7 skew: 0.28 deg: 5 c5: 5000 c0: -9 type: snfs lss: 1 rlim: 15000000 alim: 15000000 lpbr: 29 lpba: 29 mfbr: 57 mfba: 57 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 15000000/15000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 57/57 Sieved special-q in [100000, 13100000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 7097030 hash collisions in 77648328 relations (73177227 unique) Msieve: matrix is 1146819 x 1147052 (321.9 MB) Total sieving time: 0.00 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,188,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU1: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU2: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU3: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU4: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU5: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU6: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU7: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.93 BogoMIPS (lpj=2798468) Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555) Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554) Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797560) Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554) Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555) Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554) Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556) Total of 8 processors activated (44762.71 BogoMIPS).```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 4, 2007 09:00:00 UTC 2007 年 12 月 4 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovMay 13, 2011 12:19:06 UTC 2011 年 5 月 13 日 (金) 21 時 19 分 6 秒 (日本時間)

## 5×10190-9

### c187

name 名前 matsui January 13, 2008 22:39:26 UTC 2008 年 1 月 14 日 (月) 7 時 39 分 26 秒 (日本時間) `2004088340214036634734859112589682953224578139404384945288388312156799871738346226301655376969016794260290993626999078119363501543148021964808208745841516694055873982925167341376407872059<187>` ```47568134021252279670958230004481<32> 42130900895096262260841447387806243682255781771378005956259860699611715275397274609349024640992587587106601079256289499605009903500893334162184491530113339<155>``` ```GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM] Input number is 2004088340214036634734859112589682953224578139404384945288388312156799871738346226301655376969016794260290993626999078119363501543148021964808208745841516694055873982925167341376407872059 (187 digits) Using B1=63126276, B2=388131795880, polynomial Dickson(30), sigma=2608118781 Step 1 took 1984544ms Step 2 took 505560ms ********** Factor found in step 2: 47568134021252279670958230004481 Found probable prime factor of 32 digits: 47568134021252279670958230004481 Probable prime cofactor 42130900895096262260841447387806243682255781771378005956259860699611715275397274609349024640992587587106601079256289499605009903500893334162184491530113339 has 155 digits```

## 5×10192-9

### c160

name 名前 Dmitry Domanov December 14, 2012 09:27:03 UTC 2012 年 12 月 14 日 (金) 18 時 27 分 3 秒 (日本時間) `1176099105795842321003460876346126937143361413883049377681085729669981325591559208570442088938464713822400044109340423514612067261208855668111938309982575642819<160>` ```2277197690146213337256074473639429293641<40> 516467722975921274380928102845908475672012633537619596630928796946742526268351615828312646941332008361647102792650598059<120>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2226941130 Step 1 took 28364ms Step 2 took 10362ms ********** Factor found in step 2: 2277197690146213337256074473639429293641 Found probable prime factor of 40 digits: 2277197690146213337256074473639429293641```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 4, 2007 09:00:00 UTC 2007 年 12 月 4 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovMay 13, 2011 12:19:17 UTC 2011 年 5 月 13 日 (金) 21 時 19 分 17 秒 (日本時間)

## 5×10193-9

### c191

name 名前 Wataru Sakai February 22, 2009 08:56:27 UTC 2009 年 2 月 22 日 (日) 17 時 56 分 27 秒 (日本時間) `23685457129322595926101373756513500710563713879677877783041212695405021316911416390336333491236380862150639507342491710090004737091425864519185220274751302700142112742775935575556608242539081<191>` ```46280192363403452945907094423911587820648171502970737<53> 511783895437135635957154567370339647742796615436941073014585973056439262887348563848497984154002794113583812498276542761057932913246823513<138>``` ```Number: 49991_193 N=23685457129322595926101373756513500710563713879677877783041212695405021316911416390336333491236380862150639507342491710090004737091425864519185220274751302700142112742775935575556608242539081 ( 191 digits) SNFS difficulty: 194 digits. Divisors found: r1=46280192363403452945907094423911587820648171502970737 r2=511783895437135635957154567370339647742796615436941073014585973056439262887348563848497984154002794113583812498276542761057932913246823513 Version: Total time: 514.11 hours. Scaled time: 1035.93 units (timescale=2.015). Factorization parameters were as follows: n: 23685457129322595926101373756513500710563713879677877783041212695405021316911416390336333491236380862150639507342491710090004737091425864519185220274751302700142112742775935575556608242539081 m: 500000000000000000000000000000000000000 deg: 5 c5: 8 c0: -45 skew: 1.41 type: snfs lss: 1 rlim: 12200000 alim: 12200000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 12200000/12200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved rational special-q in [6100000, 11100001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1742550 x 1742798 Total sieving time: 514.11 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,194,5,0,0,0,0,0,0,0,0,12200000,12200000,28,28,55,55,2.5,2.5,100000 total time: 514.11 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
3025e4430Makoto KamadaDecember 4, 2007 09:00:00 UTC 2007 年 12 月 4 日 (火) 18 時 0 分 0 秒 (日本時間)

## 5×10194-9

### c193

name 名前 Wataru Sakai October 18, 2008 08:04:04 UTC 2008 年 10 月 18 日 (土) 17 時 4 分 4 秒 (日本時間) `1607717041800643086816720257234726688102893890675241157556270096463022508038585209003215434083601286173633440514469453376205787781350482315112540192926045016077170418006430868167202572347266881<193>` ```568077914109210905300509346220531359<36> 132431729646308774647525574567728230397013165316585384835709<60> 21370252768992179896389372845940321522055761100150580614076984207751248231030310254841786517307851<98>``` ```Number: 49991_194 N=1607717041800643086816720257234726688102893890675241157556270096463022508038585209003215434083601286173633440514469453376205787781350482315112540192926045016077170418006430868167202572347266881 ( 193 digits) SNFS difficulty: 195 digits. Divisors found: r1=568077914109210905300509346220531359 (pp36) r2=132431729646308774647525574567728230397013165316585384835709 (pp60) r3=21370252768992179896389372845940321522055761100150580614076984207751248231030310254841786517307851 (pp98) Version: GGNFS-0.77.1-20060722-nocona Total time: 2068.37 hours. Scaled time: 4157.43 units (timescale=2.010). Factorization parameters were as follows: n: 1607717041800643086816720257234726688102893890675241157556270096463022508038585209003215434083601286173633440514469453376205787781350482315112540192926045016077170418006430868167202572347266881 m: 1000000000000000000000000000000000000000 c5: 1 c0: -18 skew: 1.78 type: snfs Factor base limits: 7400000/7400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [3700000, 3700000) Primes: RFBsize:501962, AFBsize:502056, largePrimes:7770161 encountered Relations: rels:8548694, finalFF:1151262 Max relations in full relation-set: 32 Initial matrix: 1004085 x 1151262 with sparse part having weight 177304272. Pruned matrix : 910075 x 915159 with weight 160568505. Total sieving time: 2049.99 hours. Total relation processing time: 0.31 hours. Matrix solve time: 17.74 hours. Time per square root: 0.33 hours. Prototype def-par.txt line would be: snfs,195,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000 total time: 2068.37 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 4, 2007 09:00:00 UTC 2007 年 12 月 4 日 (火) 18 時 0 分 0 秒 (日本時間)

## 5×10195-9

### c146

name 名前 Eric Jeancolas December 14, 2020 13:45:01 UTC 2020 年 12 月 14 日 (月) 22 時 45 分 1 秒 (日本時間) `10303379598191586330858265867696335918696020778642126223321477713749915980672659488590779723511770749202266259424465774124970837118269128204214497<146>` ```182889568870203650794071284414362631529537215860200743756745794054183<69> 56336617018895558480557743311920865759410306893049338916891863488753333291959<77>``` ```10303379598191586330858265867696335918696020778642126223321477713749915980672659488590779723511770749202266259424465774124970837118269128204214497=182889568870203650794071284414362631529537215860200743756745794054183*56336617018895558480557743311920865759410306893049338916891863488753333291959 cado polynomial n: 10303379598191586330858265867696335918696020778642126223321477713749915980672659488590779723511770749202266259424465774124970837118269128204214497 skew: 1.12 type: snfs c0: -9 c5: 5 Y0: 1000000000000000000000000000000000000000 Y1: -1 # f(x) = 5*x^5-9 # g(x) = -x+1000000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 12800000 tasks.lim1 = 12800000 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: 56336617018895558480557743311920865759410306893049338916891863488753333291959 182889568870203650794071284414362631529537215860200743756745794054183 Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info) Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info) Info:Generate Factor Base: Total cpu/real time for makefb: 5.49/2.20376 Info:Generate Free Relations: Total cpu/real time for freerel: 98.65/25.2811 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 27639219 Info:Lattice Sieving: Average J: 1894.14 for 2457582 special-q, max bucket fill -bkmult 1.0,1s:1.176250 Info:Lattice Sieving: Total time: 741084s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 51.76/139.375 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 138.4s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 466.02/470.366 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 411.5s Info:Filtering - Singleton removal: Total cpu/real time for purge: 395.6/459.961 Info:Filtering - Merging: Merged matrix has 2299196 rows and total weight 391169483 (170.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 330.63/95.1365 Info:Filtering - Merging: Total cpu/real time for replay: 87.69/76.0224 Info:Linear Algebra: Total cpu/real time for bwc: 90933.7/23310.8 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 14852.18, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (72192 iterations) Info:Linear Algebra: Lingen CPU time 458.31, WCT time 133.25 Info:Linear Algebra: Mksol: WCT time 8102.48, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (36352 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 79.91/33.2633 Info:Square Root: Total cpu/real time for sqrt: 551.3/178.31 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.46406e+06/65451.2 Info:root: Cleaning up computation data in /tmp/cado.3emom4p_ 56336617018895558480557743311920865759410306893049338916891863488753333291959 182889568870203650794071284414362631529537215860200743756745794054183``` `cado-nfs-3.0.0` ```6 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 4, 2007 09:00:00 UTC 2007 年 12 月 4 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovMay 13, 2011 12:19:25 UTC 2011 年 5 月 13 日 (金) 21 時 19 分 25 秒 (日本時間)
1000Dmitry DomanovDecember 18, 2012 06:28:03 UTC 2012 年 12 月 18 日 (火) 15 時 28 分 3 秒 (日本時間)
4511e61000 / 4192Dmitry DomanovJanuary 15, 2013 14:52:07 UTC 2013 年 1 月 15 日 (火) 23 時 52 分 7 秒 (日本時間)

## 5×10196-9

### c163

name 名前 Eric Jeancolas July 16, 2021 01:46:11 UTC 2021 年 7 月 16 日 (金) 10 時 46 分 11 秒 (日本時間) `1144571269004122015126473162021665822069630855800863769491401872727303882051673618016074293866198362055689086153303887844158212852243278051450551173504713329853809<163>` ```270441075413194833671944916360436272528185970266632461878596589679951<69> 4232239009016595285076218884446374699348105883982283358735542061017277354606850334793173821759<94>``` ```1144571269004122015126473162021665822069630855800863769491401872727303882051673618016074293866198362055689086153303887844158212852243278051450551173504713329853809=270441075413194833671944916360436272528185970266632461878596589679951*4232239009016595285076218884446374699348105883982283358735542061017277354606850334793173821759 cado polynomial n: 1144571269004122015126473162021665822069630855800863769491401872727303882051673618016074293866198362055689086153303887844158212852243278051450551173504713329853809 skew: 1.12 type: snfs c0: -9 c5: 50 Y0: 1000000000000000000000000000000000000000 Y1: -1 # f(x) = 50*x^5-9 # g(x) = -x+1000000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 13300000 tasks.lim1 = 13300000 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: 270441075413194833671944916360436272528185970266632461878596589679951 4232239009016595285076218884446374699348105883982283358735542061017277354606850334793173821759 Info:Square Root: Total cpu/real time for sqrt: 1201.83/370.264 Info:Square Root: Total cpu/real time for sqrt: 1201.83/370.264 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 120.01/142.641 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 141.49999999999997s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 520.34/499.749 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 395.09999999999997s Info:Generate Factor Base: Total cpu/real time for makefb: 5.68/1.85362 Info:Filtering - Merging: Merged matrix has 2497216 rows and total weight 426835895 (170.9 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 694.47/191.705 Info:Filtering - Merging: Total cpu/real time for replay: 95.94/83.2652 Info:Linear Algebra: Total cpu/real time for bwc: 108441/27767.1 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 69483.16, WCT time 17741.56, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (78336 iterations) Info:Linear Algebra: Lingen CPU time 536.17, WCT time 135.95 Info:Linear Algebra: Mksol: CPU time 37528.63, WCT time 9587.7, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (39424 iterations) Info:Filtering - Singleton removal: Total cpu/real time for purge: 414.04/466.452 Info:Quadratic Characters: Total cpu/real time for characters: 86.51/38.0839 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 28684042 Info:Lattice Sieving: Average J: 1893.68 for 3026269 special-q, max bucket fill -bkmult 1.0,1s:1.118750 Info:Lattice Sieving: Total time: 739737s Info:Generate Free Relations: Total cpu/real time for freerel: 118/32.3688 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.55155e+06/78475.6 270441075413194833671944916360436272528185970266632461878596589679951 4232239009016595285076218884446374699348105883982283358735542061017277354606850334793173821759``` `cado-nfs-3.0.0` ```4 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
3025e4430Makoto KamadaDecember 4, 2007 09:00:00 UTC 2007 年 12 月 4 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovMay 13, 2011 13:13:02 UTC 2011 年 5 月 13 日 (金) 22 時 13 分 2 秒 (日本時間)
1000Dmitry DomanovDecember 18, 2012 06:28:11 UTC 2012 年 12 月 18 日 (火) 15 時 28 分 11 秒 (日本時間)
4511e61000 / 4192Dmitry DomanovJanuary 15, 2013 14:51:53 UTC 2013 年 1 月 15 日 (火) 23 時 51 分 53 秒 (日本時間)

## 5×10197-9

### c152

name 名前 Serge Batalov October 21, 2008 16:46:26 UTC 2008 年 10 月 22 日 (水) 1 時 46 分 26 秒 (日本時間) `10331787698835135971233320549268024355142642907509798979062998496133869256096716042520134899000101874188148491059860211447725287575079455781518386706097<152>` ```2168632766838689918632576115783405377195649<43> 4764194222655886177034856326166901781481228840032171605198783310162696238849016167824739197316648246761058353<109>``` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3644175409 Step 1 took 18528ms Step 2 took 14609ms ********** Factor found in step 2: 2168632766838689918632576115783405377195649 Found probable prime factor of 43 digits: 2168632766838689918632576115783405377195649 Probable prime cofactor 4764194222655886177034856326166901781481228840032171605198783310162696238849016167824739197316648246761058353 has 109 digits``` `GMP-ECM 6.2.1`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 4, 2007 09:00:00 UTC 2007 年 12 月 4 日 (火) 18 時 0 分 0 秒 (日本時間)

## 5×10199-9

### c200

name 名前 Jo Yeong Uk December 6, 2007 13:53:56 UTC 2007 年 12 月 6 日 (木) 22 時 53 分 56 秒 (日本時間) `49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991<200>` ```1224112416041742410052808832168959<34> 40845921783620723265274965609618243098936302659169196754666765677273901878095642440080026040452661066087357309697423682859960350348666458327845592281510888305426519049<167>``` ```GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM] Input number is 49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991 (200 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3511593206 Step 1 took 31289ms Step 2 took 13447ms ********** Factor found in step 2: 1224112416041742410052808832168959 Found probable prime factor of 34 digits: 1224112416041742410052808832168959 Probable prime cofactor 40845921783620723265274965609618243098936302659169196754666765677273901878095642440080026040452661066087357309697423682859960350348666458327845592281510888305426519049 has 167 digits``` `Core 2 Quad Q6600`

## 5×10200-9

### c199

name 名前 matsui January 12, 2008 02:36:25 UTC 2008 年 1 月 12 日 (土) 11 時 36 分 25 秒 (日本時間) `6329113924050632911392405063291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329<199>` `4565579173849692757873296750073841<34>` `1386267477366716881025736493978991704108086368524410882780963548849099077745191410286959757712217661501763612288987394960172120415770934106869087379738850488433099369<166>` ```GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM] Input number is 6329113924050632911392405063291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329 (199 digits) Using B1=61403276, B2=388130449990, polynomial Dickson(30), sigma=1148756598 Step 1 took 2057165ms Step 2 took 549257ms ********** Factor found in step 2: 4565579173849692757873296750073841 Found probable prime factor of 34 digits: 4565579173849692757873296750073841 Composite cofactor 1386267477366716881025736493978991704108086368524410882780963548849099077745191410286959757712217661501763612288987394960172120415770934106869087379738850488433099369 has 166 digits```

### c166

name 名前 Robert Backstrom November 11, 2012 07:09:28 UTC 2012 年 11 月 11 日 (日) 16 時 9 分 28 秒 (日本時間) `1386267477366716881025736493978991704108086368524410882780963548849099077745191410286959757712217661501763612288987394960172120415770934106869087379738850488433099369<166>` ```2583225704384937328000587461759654291646576490909<49> 536642026677566434273779623461759618234774141258822558765719076659916305356675307903158678217707488179925008893306941<117>``` ```Number: n N=1386267477366716881025736493978991704108086368524410882780963548849099077745191410286959757712217661501763612288987394960172120415770934106869087379738850488433099369 ( 166 digits) SNFS difficulty: 200 digits. Divisors found: Sun Nov 11 17:22:35 2012 prp49 factor: 2583225704384937328000587461759654291646576490909 Sun Nov 11 17:22:35 2012 prp117 factor: 536642026677566434273779623461759618234774141258822558765719076659916305356675307903158678217707488179925008893306941 Sun Nov 11 17:22:35 2012 elapsed time 04:41:53 (Msieve 1.44 - dependency 2) Version: GGNFS-0.77.1-20060513-nocona Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.094). Factorization parameters were as follows: name: KA_49991_200 n: 1386267477366716881025736493978991704108086368524410882780963548849099077745191410286959757712217661501763612288987394960172120415770934106869087379738850488433099369 m: 10000000000000000000000000000000000000000 # c166, diff: 200.7 skew: 1.125 deg: 5 c5: 5 c0: -9 # Murphy_E = 1.955e-11 type: snfs lss: 1 rlim: 15500000 alim: 15500000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 15500000/15500000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 56/56 Sieved special-q in [100000, 26750000) Primes: RFBsize:1000862, AFBsize:999676, Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 10114333 hash collisions in 71715295 relations (64829959 unique) Msieve: matrix is 1666077 x 1666313 (469.8 MB) Total sieving time: 0.00 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,200,5,0,0,0,0,0,0,0,0,15500000,15500000,29,29,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU Q9550 @ 2.83GHz stepping 07 CPU1: Intel(R) Core(TM)2 Quad CPU Q9550 @ 2.83GHz stepping 07 CPU2: Intel(R) Core(TM)2 Quad CPU Q9550 @ 2.83GHz stepping 07 CPU3: Intel(R) Core(TM)2 Quad CPU Q9550 @ 2.83GHz stepping 07 Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830711) Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448) Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460) Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461) Total of 4 processors activated (22644.16 BogoMIPS).```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 4, 2007 09:00:00 UTC 2007 年 12 月 4 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovMay 13, 2011 13:13:12 UTC 2011 年 5 月 13 日 (金) 22 時 13 分 12 秒 (日本時間)

## 5×10202-9

### c203

name 名前 Warut Roonguthai December 4, 2012 22:24:57 UTC 2012 年 12 月 5 日 (水) 7 時 24 分 57 秒 (日本時間) `49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991<203>` `620039591386186673742100511722553839<36>` `80640011855078302654973137159272851607192266102361698416396047391880102092340562254252944759447900373598888552931727121158419490893228552070627559022401517438419470969<167>` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1418237307 Step 1 took 11888ms Step 2 took 7144ms ********** Factor found in step 2: 620039591386186673742100511722553839 Found probable prime factor of 36 digits: 620039591386186673742100511722553839 Composite cofactor 80640011855078302654973137159272851607192266102361698416396047391880102092340562254252944759447900373598888552931727121158419490893228552070627559022401517438419470969 has 167 digits``` `GMP-ECM 6.3`

### c167

name 名前 Bob Backstrom August 20, 2021 05:20:04 UTC 2021 年 8 月 20 日 (金) 14 時 20 分 4 秒 (日本時間) `80640011855078302654973137159272851607192266102361698416396047391880102092340562254252944759447900373598888552931727121158419490893228552070627559022401517438419470969<167>` ```6324368979344036750526892540470759386633143275888601<52> 12750681074816460320726732310376730056198373032416752024783510637474156903377646097163895628379274061522494828657569<116>``` ```# # N = 5x10^202-9 = 49(201)1 # n: 80640011855078302654973137159272851607192266102361698416396047391880102092340562254252944759447900373598888552931727121158419490893228552070627559022401517438419470969 m: 10000000000000000000000000000000000000000 deg: 5 c5: 500 c0: -9 skew: 0.45 # Murphy_E = 1.137e-11 type: snfs lss: 1 rlim: 16700000 alim: 16700000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 80640011855078302654973137159272851607192266102361698416396047391880102092340562254252944759447900373598888552931727121158419490893228552070627559022401517438419470969 (167 digits) Using B1=36000000, B2=192389627446, polynomial Dickson(12), sigma=1:2211524429 Step 1 took 83410ms Step 2 took 30130ms ********** Factor found in step 2: 6324368979344036750526892540470759386633143275888601 Found prime factor of 52 digits: 6324368979344036750526892540470759386633143275888601 Prime cofactor 12750681074816460320726732310376730056198373032416752024783510637474156903377646097163895628379274061522494828657569 has 116 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 4, 2012 16:00:00 UTC 2012 年 12 月 5 日 (水) 1 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 6, 2012 23:06:22 UTC 2012 年 12 月 7 日 (金) 8 時 6 分 22 秒 (日本時間)
403e61000Dmitry DomanovDecember 18, 2012 06:28:22 UTC 2012 年 12 月 18 日 (火) 15 時 28 分 22 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovDecember 19, 2012 16:33:30 UTC 2012 年 12 月 20 日 (木) 1 時 33 分 30 秒 (日本時間)

## 5×10205-9

### c186

name 名前 Dmitry Domanov December 14, 2012 09:27:45 UTC 2012 年 12 月 14 日 (金) 18 時 27 分 45 秒 (日本時間) `163107615241786112871464720590034321748843904126809146610314436634011865274010384182240168595756435948285479981190363785987314525334880045702051235877803307462054136120313121349150804431<186>` ```4186642417283322650114215290660828889<37> 38959050949382317718621391195540168759093141935912319020331005599315998217943691344299652671473113722689050447544516080459409109604241858417999899879<149>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3413262303 Step 1 took 33739ms Step 2 took 12137ms ********** Factor found in step 2: 4186642417283322650114215290660828889 Found probable prime factor of 37 digits: 4186642417283322650114215290660828889```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 4, 2012 16:00:00 UTC 2012 年 12 月 5 日 (水) 1 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 6, 2012 23:06:37 UTC 2012 年 12 月 7 日 (金) 8 時 6 分 37 秒 (日本時間)

## 5×10207-9

### c190

name 名前 Warut Roonguthai December 4, 2012 19:57:12 UTC 2012 年 12 月 5 日 (水) 4 時 57 分 12 秒 (日本時間) `2266387177261457715071814793203689677482485978053094905508144301470895233134084074801104705818184219004746088829358179181582281459448238600723554295184776302219392927889978508771881169789329<190>` `6117025789609527198945500209<28>` `370504760844915408938133064757010907450935922150568566646927788078473110704875254969881287212032254638711282210949734632369735783212241949464460181978757525283681<162>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3436708405 Step 1 took 31263ms Step 2 took 14804ms ********** Factor found in step 2: 6117025789609527198945500209 Found probable prime factor of 28 digits: 6117025789609527198945500209 Composite cofactor 370504760844915408938133064757010907450935922150568566646927788078473110704875254969881287212032254638711282210949734632369735783212241949464460181978757525283681 has 162 digits``` `GMP-ECM 6.3`

### c162

name 名前 Dmitry Domanov December 20, 2012 15:16:45 UTC 2012 年 12 月 21 日 (金) 0 時 16 分 45 秒 (日本時間) `370504760844915408938133064757010907450935922150568566646927788078473110704875254969881287212032254638711282210949734632369735783212241949464460181978757525283681<162>` ```4620066213700775648313410861612521773887<40> 3781795272529984440068829006591316779698834950543<49> 21205454170246584261926717590226248591789493403457997615569769301720091441<74>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3091862823 Step 1 took 105715ms Step 2 took 33515ms ********** Factor found in step 2: 4620066213700775648313410861612521773887 Found probable prime factor of 40 digits: 4620066213700775648313410861612521773887 Composite cofactor 80194686332889776190727421160022673119465471980091698892439645696994771342110982626094876766233852933211068286000672602463 has 122 digits GNFS: prp49 = 3781795272529984440068829006591316779698834950543 prp74 = 21205454170246584261926717590226248591789493403457997615569769301720091441 NFS elapsed time = 12080.8826 seconds.```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 4, 2012 16:00:00 UTC 2012 年 12 月 5 日 (水) 1 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 6, 2012 23:06:55 UTC 2012 年 12 月 7 日 (金) 8 時 6 分 55 秒 (日本時間)
403e61000Dmitry DomanovDecember 18, 2012 06:28:30 UTC 2012 年 12 月 18 日 (火) 15 時 28 分 30 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovDecember 19, 2012 16:30:49 UTC 2012 年 12 月 20 日 (木) 1 時 30 分 49 秒 (日本時間)

## 5×10208-9

### c209

name 名前 Jo Yeong Uk January 28, 2013 10:26:29 UTC 2013 年 1 月 28 日 (月) 19 時 26 分 29 秒 (日本時間) `49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991<209>` `94899933524815260035997515965203932136517069<44>` `526870758944478766272574841095793155974221776958428610951897891518075072046221943673516627957136196567298452038010395199111496384380258423680634581871501699772694739<165>` ```GMP-ECM 6.3 [configured with GMP 5.0.5 and --enable-asm-redc] [ECM] Input number is 49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991 (209 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=6667949318 Step 1 took 15078ms Step 2 took 5662ms ********** Factor found in step 2: 94899933524815260035997515965203932136517069 Found probable prime factor of 44 digits: 94899933524815260035997515965203932136517069 Composite cofactor 526870758944478766272574841095793155974221776958428610951897891518075072046221943673516627957136196567298452038010395199111496384380258423680634581871501699772694739 has 165 digits``` `Core i7 980`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 4, 2012 16:00:00 UTC 2012 年 12 月 5 日 (水) 1 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 6, 2012 23:07:04 UTC 2012 年 12 月 7 日 (金) 8 時 7 分 4 秒 (日本時間)
403e61000Dmitry DomanovDecember 18, 2012 06:28:38 UTC 2012 年 12 月 18 日 (火) 15 時 28 分 38 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 15, 2013 14:51:18 UTC 2013 年 1 月 15 日 (火) 23 時 51 分 18 秒 (日本時間)

## 5×10209-9

### c165

name 名前 Dmitry Domanov December 19, 2012 16:51:03 UTC 2012 年 12 月 20 日 (木) 1 時 51 分 3 秒 (日本時間) `140024711778440071004638208469520879872360774025135051325191105979332299448948999588428399249538280247996159231691900928281472964722895171727790959872978744025457801<165>` ```258417551878354448445564512701023764401<39> 541854493863304841510492309540467813106028824211620389481943637343834342881296917314395862586437146477400919219916778190733401<126>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2457127502 Step 1 took 105801ms Step 2 took 35517ms ********** Factor found in step 2: 258417551878354448445564512701023764401 Found probable prime factor of 39 digits: 258417551878354448445564512701023764401```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 4, 2012 16:00:00 UTC 2012 年 12 月 5 日 (水) 1 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 6, 2012 23:07:14 UTC 2012 年 12 月 7 日 (金) 8 時 7 分 14 秒 (日本時間)
403e61000Dmitry DomanovDecember 18, 2012 06:28:47 UTC 2012 年 12 月 18 日 (火) 15 時 28 分 47 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovDecember 19, 2012 16:31:14 UTC 2012 年 12 月 20 日 (木) 1 時 31 分 14 秒 (日本時間)

## 5×10210-9

### c182

composite cofactor 合成数の残り `26259548091976884317484381231270781965992449456452996216101959459619913443601282392024713418297005674630732066613804320218496684440206999549345129594916057202602373174889799615142791<182>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 4, 2012 16:00:00 UTC 2012 年 12 月 5 日 (水) 1 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 6, 2012 23:07:23 UTC 2012 年 12 月 7 日 (金) 8 時 7 分 23 秒 (日本時間)
403e61000Dmitry DomanovDecember 18, 2012 06:28:57 UTC 2012 年 12 月 18 日 (火) 15 時 28 分 57 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 15, 2013 14:51:32 UTC 2013 年 1 月 15 日 (火) 23 時 51 分 32 秒 (日本時間)

## 5×10213-9

### c181

composite cofactor 合成数の残り `8502285352582156300448131603577557449937405676437925320062292042410128256827530851439694468204013013341458620102722436893184539064434156790185679592791529670913128892297493379628943<181>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 4, 2012 16:00:00 UTC 2012 年 12 月 5 日 (水) 1 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 6, 2012 23:07:46 UTC 2012 年 12 月 7 日 (金) 8 時 7 分 46 秒 (日本時間)
403e61000Dmitry DomanovDecember 18, 2012 06:29:05 UTC 2012 年 12 月 18 日 (火) 15 時 29 分 5 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovDecember 29, 2012 14:40:54 UTC 2012 年 12 月 29 日 (土) 23 時 40 分 54 秒 (日本時間)

## 5×10214-9

### c193

composite cofactor 合成数の残り `2992819878536560353405086623379482337638003242938429222128088423189546775161142704891802592405782099476108063779191232375917868175414807472405513120261218815934431224458700703288512737000841091<193>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 4, 2012 16:00:00 UTC 2012 年 12 月 5 日 (水) 1 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 6, 2012 23:07:53 UTC 2012 年 12 月 7 日 (金) 8 時 7 分 53 秒 (日本時間)
403e61000Dmitry DomanovDecember 18, 2012 06:29:13 UTC 2012 年 12 月 18 日 (火) 15 時 29 分 13 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovDecember 29, 2012 14:40:42 UTC 2012 年 12 月 29 日 (土) 23 時 40 分 42 秒 (日本時間)

## 5×10216-9

### c193

composite cofactor 合成数の残り `2201784504939778484236854508404341851468264324912421499997415123250118039497401524119240859866777577613793934211704315647915697832337985159026500642523598008710543974665490640540254214157203479<193>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 4, 2012 16:00:00 UTC 2012 年 12 月 5 日 (水) 1 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 6, 2012 23:08:01 UTC 2012 年 12 月 7 日 (金) 8 時 8 分 1 秒 (日本時間)
403e61000Dmitry DomanovDecember 18, 2012 06:29:24 UTC 2012 年 12 月 18 日 (火) 15 時 29 分 24 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovDecember 29, 2012 14:40:29 UTC 2012 年 12 月 29 日 (土) 23 時 40 分 29 秒 (日本時間)

## 5×10217-9

### c159

composite cofactor 合成数の残り `183953064769185429107956089693577688386887659785154297658387221525077883669466381125607423882703812496022798578747455899704229449364963443054533677854394174039<159>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 4, 2012 16:00:00 UTC 2012 年 12 月 5 日 (水) 1 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 6, 2012 23:08:09 UTC 2012 年 12 月 7 日 (金) 8 時 8 分 9 秒 (日本時間)
403e61000Dmitry DomanovDecember 18, 2012 06:29:31 UTC 2012 年 12 月 18 日 (火) 15 時 29 分 31 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovDecember 19, 2012 16:31:30 UTC 2012 年 12 月 20 日 (木) 1 時 31 分 30 秒 (日本時間)

## 5×10219-9

### c170

name 名前 Erik Branger February 2, 2021 11:10:34 UTC 2021 年 2 月 2 日 (火) 20 時 10 分 34 秒 (日本時間) `30555426078732568477524177044620573113680008222632947079491799619483416421093536864963707146695489545868741451120370751029065299342355263233622460914504192968027245185977<170>` ```15574282183561793844557028916165575071386284168291483196699289<62> 1961915529627615224097326188676591420419208033521883896632499890805015560445818727900325529147292925604328993<109>``` ```Number: 49991_219 N = 30555426078732568477524177044620573113680008222632947079491799619483416421093536864963707146695489545868741451120370751029065299342355263233622460914504192968027245185977 (170 digits) SNFS difficulty: 220 digits. Divisors found: r1=15574282183561793844557028916165575071386284168291483196699289 (pp62) r2=1961915529627615224097326188676591420419208033521883896632499890805015560445818727900325529147292925604328993 (pp109) Version: Msieve v. 1.52 (SVN unknown) Total time: 54.63 hours. Factorization parameters were as follows: n: 30555426078732568477524177044620573113680008222632947079491799619483416421093536864963707146695489545868741451120370751029065299342355263233622460914504192968027245185977 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 1 c0: -18 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 44739242 lpbr: 29 lpba: 28 mfbr: 58 mfba: 56 rlambda: 2.8 alambda: 2.8 side: 1 Factor base limits: 536870912/44739242 Large primes per side: 3 Large prime bits: 29/28 Relations: 6819348 relations Pruned matrix : 5989197 x 5989422 Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G relations. Total batch smoothness checking time: 28.74 hours. Total relation processing time: 0.35 hours. Matrix solve time: 25.38 hours. time per square root: 0.16 hours. Prototype def-par.txt line would be: snfs,220,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000 total time: 54.63 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-10-10.0.18362-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
351e61418118Makoto KamadaDecember 4, 2012 16:00:00 UTC 2012 年 12 月 5 日 (水) 1 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 6, 2012 23:08:22 UTC 2012 年 12 月 7 日 (金) 8 時 8 分 22 秒 (日本時間)
403e61000Dmitry DomanovDecember 18, 2012 06:29:39 UTC 2012 年 12 月 18 日 (火) 15 時 29 分 39 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovDecember 19, 2012 16:33:05 UTC 2012 年 12 月 20 日 (木) 1 時 33 分 5 秒 (日本時間)

## 5×10220-9

### c189

name 名前 Erik Branger December 10, 2018 16:46:21 UTC 2018 年 12 月 11 日 (火) 1 時 46 分 21 秒 (日本時間) `114163658351009450896506592488628467652186715635649458426078357392531181722020180458535784214765706710964487408923279891076112557760521156281478763873323767624371745201714550042630748179761<189>` ```1643785755581691552264629328800100849767554161799363881028224047514337530113163569233564091<91> 69451665439581573585051950465413153328097479209545149951454519439279614377080813396586069044922371<98>``` ```Number: 49991_220 N = 114163658351009450896506592488628467652186715635649458426078357392531181722020180458535784214765706710964487408923279891076112557760521156281478763873323767624371745201714550042630748179761 (189 digits) SNFS difficulty: 221 digits. Divisors found: r1=1643785755581691552264629328800100849767554161799363881028224047514337530113163569233564091 (pp91) r2=69451665439581573585051950465413153328097479209545149951454519439279614377080813396586069044922371 (pp98) Version: Msieve v. 1.52 (SVN unknown) Total time: 67.06 hours. Factorization parameters were as follows: n: 114163658351009450896506592488628467652186715635649458426078357392531181722020180458535784214765706710964487408923279891076112557760521156281478763873323767624371745201714550042630748179761 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 5 c0: -9 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 536870912 lpbr: 29 lpba: 28 mfbr: 58 mfba: 56 rlambda: 2.8 alambda: 2.8 side: 1 Factor base limits: 536870912/536870912 Large primes per side: 3 Large prime bits: 29/28 Relations: 7189486 relations Pruned matrix : 6357768 x 6357993 Total pre-computation time approximately 300 CPU-days. Pre-computation saved approximately 8 G relations. Total batch smoothness checking time: 32.23 hours. Total relation processing time: 0.38 hours. Matrix solve time: 34.26 hours. time per square root: 0.19 hours. Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000 total time: 67.06 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-10-10.0.17134-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
351e61418118Makoto KamadaDecember 4, 2012 16:00:00 UTC 2012 年 12 月 5 日 (水) 1 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 6, 2012 23:08:29 UTC 2012 年 12 月 7 日 (金) 8 時 8 分 29 秒 (日本時間)
403e61000Dmitry DomanovDecember 18, 2012 06:29:47 UTC 2012 年 12 月 18 日 (火) 15 時 29 分 47 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovDecember 29, 2012 14:39:59 UTC 2012 年 12 月 29 日 (土) 23 時 39 分 59 秒 (日本時間)

## 5×10222-9

### c194

name 名前 Dmitry Domanov December 31, 2012 00:06:01 UTC 2012 年 12 月 31 日 (月) 9 時 6 分 1 秒 (日本時間) `57480586157604526597519312709596829915496685008526101915948901066162284131333028030331023508671791840473041868455465596575983808365867445691945334076843513625026495762555977880691305547225576131<194>` `2196261205011495299922971104808002817334769652382972569299<58>` `26172017256619378936562009497923378572232060541860310285521806875367315256195853762265801594162869990904178394540431777809303289017855569<137>` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1214421351 Step 1 took 89251ms Step 2 took 28002ms ********** Factor found in step 2: 2196261205011495299922971104808002817334769652382972569299 Found probable prime factor of 58 digits: 2196261205011495299922971104808002817334769652382972569299 Composite cofactor 261720172566193789365620094979233785722320605418603102855218068753673152561958537622658015941628699 90904178394540431777809303289017855569 has 137 digits```

### c137

name 名前 Andreas Tete August 5, 2013 03:19:37 UTC 2013 年 8 月 5 日 (月) 12 時 19 分 37 秒 (日本時間) `26172017256619378936562009497923378572232060541860310285521806875367315256195853762265801594162869990904178394540431777809303289017855569<137>` ```114013426019258225012871773423352688509269<42> 229552063913934255756320670600649025649127986081183905318604624040659610676590821430931211282701<96>``` ```Sun Jul 28 11:54:30 2013 -> factmsieve.py (v0.76) Sun Jul 28 11:54:30 2013 -> This is client 1 of 1 Sun Jul 28 11:54:30 2013 -> Running on 2 Cores with 2 hyper-threads per Core Sun Jul 28 11:54:30 2013 -> Working with NAME = 49991_222 Sun Jul 28 11:55:57 2013 -> factmsieve.py (v0.76) Sun Jul 28 11:55:57 2013 -> This is client 1 of 1 Sun Jul 28 11:55:57 2013 -> Running on 2 Cores with 2 hyper-threads per Core Sun Jul 28 11:55:57 2013 -> Working with NAME = 49991_222 Sun Jul 28 11:55:57 2013 -> Selected lattice siever: gnfs-lasieve4I13e Sun Jul 28 11:55:57 2013 -> Creating param file to detect parameter changes... Sun Jul 28 11:55:58 2013 -> Running setup ... Sun Jul 28 11:55:58 2013 -> Estimated minimum relations needed: 2.112e+07 Sun Jul 28 11:55:58 2013 -> cleaning up before a restart Sun Jul 28 11:55:58 2013 -> Running lattice siever ... Sun Jul 28 11:55:58 2013 -> entering sieving loop Sun Aug 04 09:38:58 2013 Found 23288701 relations, 110.3% of the estimated minimum (21120000). Sun Aug 04 09:38:58 2013 Sun Aug 04 09:38:58 2013 Sun Aug 04 09:38:58 2013 Msieve v. 1.52 (SVN 927) Sun Aug 04 09:38:58 2013 random seeds: 9de72038 8723cc5d Sun Aug 04 09:38:58 2013 factoring 26172017256619378936562009497923378572232060541860310285521806875367315256195853762265801594162869990904178394540431777809303289017855569 (137 digits) Sun Aug 04 09:39:01 2013 searching for 15-digit factors Sun Aug 04 09:39:05 2013 commencing number field sieve (137-digit input) Sun Aug 04 09:39:05 2013 R0: -816772052465859244159897386 Sun Aug 04 09:39:05 2013 R1: 127018802445409 Sun Aug 04 09:39:05 2013 A0: 30727563197548402088255327222752015 Sun Aug 04 09:39:05 2013 A1: -46406103852551439278738986061 Sun Aug 04 09:39:05 2013 A2: 5100115502406567912909 Sun Aug 04 09:39:05 2013 A3: 4332742889291456 Sun Aug 04 09:39:05 2013 A4: 379808459 Sun Aug 04 09:39:05 2013 A5: 72 Sun Aug 04 09:39:05 2013 skew 3968507.94, size 3.595e-013, alpha -6.090, combined = 3.495e-011 rroots = 3 Sun Aug 04 09:39:05 2013 Sun Aug 04 09:39:05 2013 commencing relation filtering Sun Aug 04 09:39:05 2013 estimated available RAM is 3884.5 MB Sun Aug 04 09:39:05 2013 commencing duplicate removal, pass 1 Sun Aug 04 09:52:30 2013 found 3645786 hash collisions in 23288700 relations Sun Aug 04 09:54:56 2013 added 19 free relations Sun Aug 04 09:54:56 2013 commencing duplicate removal, pass 2 Sun Aug 04 09:55:36 2013 found 3332470 duplicates and 19956249 unique relations Sun Aug 04 09:55:36 2013 memory use: 106.6 MB Sun Aug 04 09:55:36 2013 reading ideals above 14876672 Sun Aug 04 09:55:52 2013 commencing singleton removal, initial pass Sun Aug 04 10:08:02 2013 memory use: 376.5 MB Sun Aug 04 10:08:02 2013 reading all ideals from disk Sun Aug 04 10:08:02 2013 memory use: 341.8 MB Sun Aug 04 10:08:04 2013 commencing in-memory singleton removal Sun Aug 04 10:08:05 2013 begin with 19956249 relations and 19996925 unique ideals Sun Aug 04 10:08:22 2013 reduce to 7917159 relations and 5924273 ideals in 21 passes Sun Aug 04 10:08:22 2013 max relations containing the same ideal: 27 Sun Aug 04 10:08:24 2013 reading ideals above 100000 Sun Aug 04 10:08:24 2013 commencing singleton removal, initial pass Sun Aug 04 10:14:04 2013 memory use: 188.3 MB Sun Aug 04 10:14:04 2013 reading all ideals from disk Sun Aug 04 10:14:05 2013 memory use: 304.2 MB Sun Aug 04 10:14:06 2013 keeping 7803234 ideals with weight <= 200, target excess is 41968 Sun Aug 04 10:14:08 2013 commencing in-memory singleton removal Sun Aug 04 10:14:09 2013 begin with 7917178 relations and 7803234 unique ideals Sun Aug 04 10:14:40 2013 reduce to 7859127 relations and 7745036 ideals in 20 passes Sun Aug 04 10:14:40 2013 max relations containing the same ideal: 200 Sun Aug 04 10:14:49 2013 removing 479589 relations and 446885 ideals in 32704 cliques Sun Aug 04 10:14:49 2013 commencing in-memory singleton removal Sun Aug 04 10:14:51 2013 begin with 7379538 relations and 7745036 unique ideals Sun Aug 04 10:15:05 2013 reduce to 7354322 relations and 7272780 ideals in 10 passes Sun Aug 04 10:15:05 2013 max relations containing the same ideal: 197 Sun Aug 04 10:15:14 2013 removing 345487 relations and 312783 ideals in 32704 cliques Sun Aug 04 10:15:14 2013 commencing in-memory singleton removal Sun Aug 04 10:15:15 2013 begin with 7008835 relations and 7272780 unique ideals Sun Aug 04 10:15:29 2013 reduce to 6994383 relations and 6945465 ideals in 10 passes Sun Aug 04 10:15:29 2013 max relations containing the same ideal: 190 Sun Aug 04 10:15:41 2013 relations with 0 large ideals: 160 Sun Aug 04 10:15:41 2013 relations with 1 large ideals: 92 Sun Aug 04 10:15:41 2013 relations with 2 large ideals: 1297 Sun Aug 04 10:15:41 2013 relations with 3 large ideals: 17256 Sun Aug 04 10:15:41 2013 relations with 4 large ideals: 125083 Sun Aug 04 10:15:41 2013 relations with 5 large ideals: 527467 Sun Aug 04 10:15:41 2013 relations with 6 large ideals: 1341827 Sun Aug 04 10:15:41 2013 relations with 7+ large ideals: 4981201 Sun Aug 04 10:15:41 2013 commencing 2-way merge Sun Aug 04 10:15:54 2013 reduce to 3972678 relation sets and 3923764 unique ideals Sun Aug 04 10:15:54 2013 ignored 4 oversize relation sets Sun Aug 04 10:15:54 2013 commencing full merge Sun Aug 04 10:18:44 2013 memory use: 466.8 MB Sun Aug 04 10:18:45 2013 found 2042776 cycles, need 2039964 Sun Aug 04 10:18:46 2013 weight of 2039964 cycles is about 142996943 (70.10/cycle) Sun Aug 04 10:18:46 2013 distribution of cycle lengths: Sun Aug 04 10:18:46 2013 1 relations: 307717 Sun Aug 04 10:18:46 2013 2 relations: 263671 Sun Aug 04 10:18:46 2013 3 relations: 249789 Sun Aug 04 10:18:46 2013 4 relations: 214387 Sun Aug 04 10:18:46 2013 5 relations: 181650 Sun Aug 04 10:18:46 2013 6 relations: 150947 Sun Aug 04 10:18:46 2013 7 relations: 125579 Sun Aug 04 10:18:46 2013 8 relations: 101791 Sun Aug 04 10:18:46 2013 9 relations: 83329 Sun Aug 04 10:18:46 2013 10+ relations: 361104 Sun Aug 04 10:18:46 2013 heaviest cycle: 28 relations Sun Aug 04 10:18:47 2013 commencing cycle optimization Sun Aug 04 10:18:53 2013 start with 11699357 relations Sun Aug 04 10:19:45 2013 pruned 222818 relations Sun Aug 04 10:19:45 2013 memory use: 403.0 MB Sun Aug 04 10:19:45 2013 distribution of cycle lengths: Sun Aug 04 10:19:45 2013 1 relations: 307717 Sun Aug 04 10:19:45 2013 2 relations: 269264 Sun Aug 04 10:19:45 2013 3 relations: 257336 Sun Aug 04 10:19:45 2013 4 relations: 217426 Sun Aug 04 10:19:45 2013 5 relations: 184055 Sun Aug 04 10:19:45 2013 6 relations: 151247 Sun Aug 04 10:19:45 2013 7 relations: 125097 Sun Aug 04 10:19:45 2013 8 relations: 100604 Sun Aug 04 10:19:45 2013 9 relations: 81858 Sun Aug 04 10:19:45 2013 10+ relations: 345360 Sun Aug 04 10:19:45 2013 heaviest cycle: 28 relations Sun Aug 04 10:19:49 2013 RelProcTime: 2444 Sun Aug 04 10:19:49 2013 elapsed time 00:40:51 Sun Aug 04 10:19:49 2013 LatSieveTime: 8159.82 Sun Aug 04 10:19:49 2013 -> Running matrix solving step ... Sun Aug 04 10:19:49 2013 Sun Aug 04 10:19:49 2013 Sun Aug 04 10:19:49 2013 Msieve v. 1.52 (SVN 927) Sun Aug 04 10:19:49 2013 random seeds: 7b9cfa40 26e41f4d Sun Aug 04 10:19:49 2013 factoring 26172017256619378936562009497923378572232060541860310285521806875367315256195853762265801594162869990904178394540431777809303289017855569 (137 digits) Sun Aug 04 10:19:52 2013 searching for 15-digit factors Sun Aug 04 10:19:55 2013 commencing number field sieve (137-digit input) Sun Aug 04 10:19:55 2013 R0: -816772052465859244159897386 Sun Aug 04 10:19:55 2013 R1: 127018802445409 Sun Aug 04 10:19:55 2013 A0: 30727563197548402088255327222752015 Sun Aug 04 10:19:55 2013 A1: -46406103852551439278738986061 Sun Aug 04 10:19:55 2013 A2: 5100115502406567912909 Sun Aug 04 10:19:55 2013 A3: 4332742889291456 Sun Aug 04 10:19:55 2013 A4: 379808459 Sun Aug 04 10:19:55 2013 A5: 72 Sun Aug 04 10:19:55 2013 skew 3968507.94, size 3.595e-013, alpha -6.090, combined = 3.495e-011 rroots = 3 Sun Aug 04 10:19:55 2013 Sun Aug 04 10:19:55 2013 commencing linear algebra Sun Aug 04 10:19:57 2013 read 2039964 cycles Sun Aug 04 10:20:06 2013 cycles contain 6920851 unique relations Sun Aug 04 10:24:18 2013 read 6920851 relations Sun Aug 04 10:24:42 2013 using 20 quadratic characters above 268435314 Sun Aug 04 10:26:30 2013 building initial matrix Sun Aug 04 10:30:06 2013 memory use: 886.9 MB Sun Aug 04 10:30:11 2013 read 2039964 cycles Sun Aug 04 10:30:14 2013 matrix is 2039786 x 2039964 (613.1 MB) with weight 192899704 (94.56/col) Sun Aug 04 10:30:14 2013 sparse part has weight 138291053 (67.79/col) Sun Aug 04 10:31:13 2013 filtering completed in 2 passes Sun Aug 04 10:31:16 2013 matrix is 2038953 x 2039130 (613.1 MB) with weight 192867639 (94.58/col) Sun Aug 04 10:31:16 2013 sparse part has weight 138284008 (67.82/col) Sun Aug 04 10:31:28 2013 matrix starts at (0, 0) Sun Aug 04 10:31:30 2013 matrix is 2038953 x 2039130 (613.1 MB) with weight 192867639 (94.58/col) Sun Aug 04 10:31:30 2013 sparse part has weight 138284008 (67.82/col) Sun Aug 04 10:31:30 2013 saving the first 48 matrix rows for later Sun Aug 04 10:31:32 2013 matrix includes 64 packed rows Sun Aug 04 10:31:33 2013 matrix is 2038905 x 2039130 (594.7 MB) with weight 153138664 (75.10/col) Sun Aug 04 10:31:33 2013 sparse part has weight 135507796 (66.45/col) Sun Aug 04 10:31:33 2013 using block size 8192 and superblock size 294912 for processor cache size 3072 kB Sun Aug 04 10:32:04 2013 commencing Lanczos iteration (4 threads) Sun Aug 04 10:32:04 2013 memory use: 472.4 MB Sun Aug 04 10:32:38 2013 linear algebra at 0.1%, ETA 11h55m Sun Aug 04 10:32:48 2013 checkpointing every 180000 dimensions Sun Aug 04 22:58:33 2013 lanczos halted after 32245 iterations (dim = 2038903) Sun Aug 04 22:58:44 2013 recovered 29 nontrivial dependencies Sun Aug 04 22:58:46 2013 BLanczosTime: 45531 Sun Aug 04 22:58:46 2013 elapsed time 12:38:57 Sun Aug 04 22:58:46 2013 -> Running square root step ... Sun Aug 04 22:58:46 2013 Sun Aug 04 22:58:46 2013 Sun Aug 04 22:58:46 2013 Msieve v. 1.52 (SVN 927) Sun Aug 04 22:58:46 2013 random seeds: b3e49b40 82dc8775 Sun Aug 04 22:58:46 2013 factoring 26172017256619378936562009497923378572232060541860310285521806875367315256195853762265801594162869990904178394540431777809303289017855569 (137 digits) Sun Aug 04 22:58:49 2013 searching for 15-digit factors Sun Aug 04 22:58:52 2013 commencing number field sieve (137-digit input) Sun Aug 04 22:58:52 2013 R0: -816772052465859244159897386 Sun Aug 04 22:58:52 2013 R1: 127018802445409 Sun Aug 04 22:58:52 2013 A0: 30727563197548402088255327222752015 Sun Aug 04 22:58:52 2013 A1: -46406103852551439278738986061 Sun Aug 04 22:58:52 2013 A2: 5100115502406567912909 Sun Aug 04 22:58:52 2013 A3: 4332742889291456 Sun Aug 04 22:58:52 2013 A4: 379808459 Sun Aug 04 22:58:52 2013 A5: 72 Sun Aug 04 22:58:52 2013 skew 3968507.94, size 3.595e-013, alpha -6.090, combined = 3.495e-011 rroots = 3 Sun Aug 04 22:58:52 2013 Sun Aug 04 22:58:52 2013 commencing square root phase Sun Aug 04 22:58:52 2013 reading relations for dependency 1 Sun Aug 04 22:58:54 2013 read 1019004 cycles Sun Aug 04 22:58:59 2013 cycles contain 3458468 unique relations Sun Aug 04 23:01:18 2013 read 3458468 relations Sun Aug 04 23:02:10 2013 multiplying 3458468 relations Sun Aug 04 23:13:08 2013 multiply complete, coefficients have about 138.73 million bits Sun Aug 04 23:13:12 2013 initial square root is modulo 95261 Sun Aug 04 23:26:43 2013 GCD is N, no factor found Sun Aug 04 23:26:43 2013 reading relations for dependency 2 Sun Aug 04 23:26:45 2013 read 1019031 cycles Sun Aug 04 23:26:49 2013 cycles contain 3460188 unique relations Sun Aug 04 23:29:07 2013 read 3460188 relations Sun Aug 04 23:29:59 2013 multiplying 3460188 relations Sun Aug 04 23:40:53 2013 multiply complete, coefficients have about 138.80 million bits Sun Aug 04 23:40:58 2013 initial square root is modulo 95803 Sun Aug 04 23:54:35 2013 GCD is N, no factor found Sun Aug 04 23:54:35 2013 reading relations for dependency 3 Sun Aug 04 23:54:36 2013 read 1017835 cycles Sun Aug 04 23:54:41 2013 cycles contain 3455696 unique relations Sun Aug 04 23:57:00 2013 read 3455696 relations Sun Aug 04 23:57:53 2013 multiplying 3455696 relations Mon Aug 05 00:09:12 2013 multiply complete, coefficients have about 138.62 million bits Mon Aug 05 00:09:16 2013 initial square root is modulo 94433 Mon Aug 05 00:22:55 2013 sqrtTime: 5043 Mon Aug 05 00:22:55 2013 prp42 factor: 114013426019258225012871773423352688509269 Mon Aug 05 00:22:55 2013 prp96 factor: 229552063913934255756320670600649025649127986081183905318604624040659610676590821430931211282701 Mon Aug 05 00:22:55 2013 elapsed time 01:24:09 Mon Aug 05 00:22:55 2013 -> Computing 1.37565e+09 scale for this machine... Mon Aug 05 00:22:55 2013 -> procrels -speedtest> PIPE``` `factmsieve.py via msieve v.1.52 (SVN 927)` `core i3 - 350M and windows 7 home professional 64bit`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 4, 2012 16:00:00 UTC 2012 年 12 月 5 日 (水) 1 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 6, 2012 23:08:35 UTC 2012 年 12 月 7 日 (金) 8 時 8 分 35 秒 (日本時間)
403e61000Dmitry DomanovDecember 18, 2012 06:29:56 UTC 2012 年 12 月 18 日 (火) 15 時 29 分 56 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovDecember 29, 2012 14:39:48 UTC 2012 年 12 月 29 日 (土) 23 時 39 分 48 秒 (日本時間)

## 5×10223-9

### c215

name 名前 Bob Backstrom June 5, 2020 13:09:56 UTC 2020 年 6 月 5 日 (金) 22 時 9 分 56 秒 (日本時間) `17182648301519047728036339002806675974756972754850231104265632613883832550018609306407345872741847468193870711474265069445712690942621703824181993282814104418509041393209730321630539602777261823896720769958896641271<215>` ```41224668145860684097741684780079627347379493920249<50> 277139342800788716480013969306510955775257870864917533592729184187605934651633<78> 1503954681405809497659653289964597932384550491770415811579439497939380498389745021863263<88>``` ```Number: n N=17182648301519047728036339002806675974756972754850231104265632613883832550018609306407345872741847468193870711474265069445712690942621703824181993282814104418509041393209730321630539602777261823896720769958896641271 ( 215 digits) SNFS difficulty: 223 digits. Divisors found: Fri Jun 5 22:52:34 2020 found factor: 277139342800788716480013969306510955775257870864917533592729184187605934651633 Fri Jun 5 23:03:43 2020 p50 factor: 41224668145860684097741684780079627347379493920249 Fri Jun 5 23:03:43 2020 p78 factor: 277139342800788716480013969306510955775257870864917533592729184187605934651633 Fri Jun 5 23:03:43 2020 p88 factor: 1503954681405809497659653289964597932384550491770415811579439497939380498389745021863263 Fri Jun 5 23:03:43 2020 elapsed time 14:53:26 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.117). Factorization parameters were as follows: # # N = 5x10^223-9 = 49(222)1 # n: 17182648301519047728036339002806675974756972754850231104265632613883832550018609306407345872741847468193870711474265069445712690942621703824181993282814104418509041393209730321630539602777261823896720769958896641271 m: 10000000000000000000000000000000000000 deg: 6 c6: 50 c0: -9 skew: 0.75 # Murphy_E = 1.756e-12 type: snfs lss: 1 rlim: 37000000 alim: 37000000 lpbr: 29 lpba: 29 mfbr: 58 mfba: 58 rlambda: 2.6 alambda: 2.6 Factor base limits: 37000000/37000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 58/58 Sieved special-q in [100000, 108900000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 9897449 hash collisions in 56864234 relations (48904467 unique) Msieve: matrix is 5532554 x 5532779 (1942.2 MB) Sieving start time: 2020/06/03 01:58:08 Sieving end time : 2020/06/05 08:09:19 Total sieving time: 54hrs 11min 11secs. Total relation processing time: 14hrs 10min 8sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 22min 20sec. Prototype def-par.txt line would be: snfs,223,6,0,0,0,0,0,0,0,0,37000000,37000000,29,29,58,58,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.149558] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1) [ 0.000000] Memory: 16283204K/16703460K available (12300K kernel code, 2481K rwdata, 4268K rodata, 2432K init, 2712K bss, 420256K reserved, 0K cma-reserved) [ 0.184558] x86/mm: Memory block size: 128MB [ 0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.59 BogoMIPS (lpj=11977184) [ 0.182227] smpboot: Total of 16 processors activated (95817.47 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 4, 2012 16:00:00 UTC 2012 年 12 月 5 日 (水) 1 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 6, 2012 23:08:42 UTC 2012 年 12 月 7 日 (金) 8 時 8 分 42 秒 (日本時間)
403e61000Dmitry DomanovDecember 18, 2012 06:30:07 UTC 2012 年 12 月 18 日 (火) 15 時 30 分 7 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovDecember 29, 2012 14:39:35 UTC 2012 年 12 月 29 日 (土) 23 時 39 分 35 秒 (日本時間)

## 5×10224-9

### c220

name 名前 Bob Backstrom October 26, 2019 22:32:59 UTC 2019 年 10 月 27 日 (日) 7 時 32 分 59 秒 (日本時間) `3144436548414889535944054184930602285376483387941714724138581607561741011628126356038261503921112375873367251322235568608461049864474784763318261000811264629491041500273565979712095389627132714088962398827754054750929181<220>` ```3326284165636101568150024312068118507126391261327493376651460909614388415198180197831126131<91> 945330101649196762437636845806375265187590177382438477190397987835347978791158933908584954499326289129793560037813746228785301551<129>``` ```Number: n N=3144436548414889535944054184930602285376483387941714724138581607561741011628126356038261503921112375873367251322235568608461049864474784763318261000811264629491041500273565979712095389627132714088962398827754054750929181 ( 220 digits) SNFS difficulty: 224 digits. Divisors found: Sun Oct 27 09:20:40 2019 p91 factor: 3326284165636101568150024312068118507126391261327493376651460909614388415198180197831126131 Sun Oct 27 09:20:40 2019 p129 factor: 945330101649196762437636845806375265187590177382438477190397987835347978791158933908584954499326289129793560037813746228785301551 Sun Oct 27 09:20:40 2019 elapsed time 13:41:29 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.143). Factorization parameters were as follows: # # N = 5x10^224-9 = 49(223)1 # n: 3144436548414889535944054184930602285376483387941714724138581607561741011628126356038261503921112375873367251322235568608461049864474784763318261000811264629491041500273565979712095389627132714088962398827754054750929181 m: 500000000000000000000000000000000000000000000 deg: 5 c5: 16 c0: -9 skew: 0.89 # Murphy_E = 1.646e-12 type: snfs lss: 1 rlim: 39000000 alim: 39000000 lpbr: 29 lpba: 29 mfbr: 59 mfba: 59 rlambda: 2.6 alambda: 2.6 Factor base limits: 39000000/39000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 59/59 Sieved special-q in [100000, 88300000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 9349924 hash collisions in 57159504 relations (48742659 unique) Msieve: matrix is 5392521 x 5392746 (1885.4 MB) Sieving start time: 2019/10/24 22:26:11 Sieving end time : 2019/10/26 19:29:48 Total sieving time: 45hrs 3min 37secs. Total relation processing time: 13hrs 4min 41sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 16min 16sec. Prototype def-par.txt line would be: snfs,224,5,0,0,0,0,0,0,0,0,39000000,39000000,29,29,59,59,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.149912] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1) [ 0.000000] Memory: 16284044K/16703460K available (12300K kernel code, 2481K rwdata, 4256K rodata, 2436K init, 2388K bss, 419416K reserved, 0K cma-reserved) [ 0.184564] x86/mm: Memory block size: 128MB [ 0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.54 BogoMIPS (lpj=11977096) [ 0.182216] smpboot: Total of 16 processors activated (95816.76 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 4, 2012 16:00:00 UTC 2012 年 12 月 5 日 (水) 1 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 6, 2012 23:09:03 UTC 2012 年 12 月 7 日 (金) 8 時 9 分 3 秒 (日本時間)
403e61000Dmitry DomanovDecember 18, 2012 06:30:15 UTC 2012 年 12 月 18 日 (火) 15 時 30 分 15 秒 (日本時間)
4511e651501000Dmitry DomanovDecember 29, 2012 14:39:23 UTC 2012 年 12 月 29 日 (土) 23 時 39 分 23 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:15:27 UTC 2013 年 11 月 9 日 (土) 2 時 15 分 27 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:26 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 26 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:45 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 45 秒 (日本時間)
1000Serge BatalovDecember 18, 2014 00:18:40 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 40 秒 (日本時間)
1000Serge BatalovDecember 21, 2014 10:24:32 UTC 2014 年 12 月 21 日 (日) 19 時 24 分 32 秒 (日本時間)

## 5×10225-9

### c140

name 名前 Markus Tervooren December 8, 2012 17:02:31 UTC 2012 年 12 月 9 日 (日) 2 時 2 分 31 秒 (日本時間) `30023611555448464210558895002064918074600470798433936797445455043482381756381056793041206784533546769589301765288429115560925966996408569663<140>` ```308920966558508340816749170157147470997859479736879019489360513<63> 97188649543352110351360227686855138652311602652684051438814999043240760879551<77>``` ```Msieve v. 1.51 (SVN 837M) Thu Dec 6 18:34:19 2012 random seeds: f6d798d2 40b13c37 factoring 30023611555448464210558895002064918074600470798433936797445455043482381756381056793041206784533546769589301765288429115560925966996408569663 (140 digits) searching for 15-digit factors commencing number field sieve (140-digit input) R0: -1409333399835004359101204316 R1: 214163407420781 A0: 84849188934193181195870576424112941695 A1: -6813098352375253174712254873307 A2: -4474870165347656693482721 A3: -177559639518480709 A4: 36876811290 A5: 5400 skew 8116733.33, size 2.013e-13, alpha -9.435, combined = 2.409e-11 rroots = 3 commencing relation filtering estimated available RAM is 16079.7 MB commencing duplicate removal, pass 1 error -11 reading relation 4770892 read 10M relations error -9 reading relation 14206950 error -15 reading relation 18874202 error -15 reading relation 19239407 error -15 reading relation 19603542 error -9 reading relation 19967316 read 20M relations error -1 reading relation 20331341 error -11 reading relation 20697493 error -1 reading relation 21060329 error -15 reading relation 25581979 read 30M relations error -11 reading relation 30093375 error -15 reading relation 34538248 error -15 reading relation 38922442 read 40M relations error -15 reading relation 43611374 error -11 reading relation 48351241 read 50M relations error -15 reading relation 53123530 skipped 1 relations with b > 2^32 found 5342040 hash collisions in 57932249 relations added 122117 free relations commencing duplicate removal, pass 2 found 3038451 duplicates and 55015915 unique relations memory use: 197.2 MB reading ideals above 720000 commencing singleton removal, initial pass memory use: 1506.0 MB reading all ideals from disk memory use: 1819.3 MB keeping 59756662 ideals with weight <= 200, target excess is 523149 commencing in-memory singleton removal begin with 55015914 relations and 59756662 unique ideals reduce to 17634469 relations and 15600205 ideals in 20 passes max relations containing the same ideal: 95 removing 3023864 relations and 2623864 ideals in 400000 cliques commencing in-memory singleton removal begin with 14610605 relations and 15600205 unique ideals reduce to 14186774 relations and 12539673 ideals in 11 passes max relations containing the same ideal: 81 removing 2251576 relations and 1851576 ideals in 400000 cliques commencing in-memory singleton removal begin with 11935198 relations and 12539673 unique ideals reduce to 11635946 relations and 10380065 ideals in 11 passes max relations containing the same ideal: 73 removing 2016431 relations and 1616431 ideals in 400000 cliques commencing in-memory singleton removal begin with 9619515 relations and 10380065 unique ideals reduce to 9321910 relations and 8456222 ideals in 10 passes max relations containing the same ideal: 62 removing 1379635 relations and 1120800 ideals in 258835 cliques commencing in-memory singleton removal begin with 7942275 relations and 8456222 unique ideals reduce to 7777174 relations and 7165958 ideals in 10 passes max relations containing the same ideal: 60 relations with 0 large ideals: 9440 relations with 1 large ideals: 113856 relations with 2 large ideals: 579503 relations with 3 large ideals: 1535275 relations with 4 large ideals: 2249655 relations with 5 large ideals: 1912014 relations with 6 large ideals: 992124 relations with 7+ large ideals: 385307 commencing 2-way merge reduce to 4316023 relation sets and 3704807 unique ideals commencing full merge memory use: 379.6 MB found 2259490 cycles, need 2173007 weight of 2173007 cycles is about 152292436 (70.08/cycle) distribution of cycle lengths: 1 relations: 267852 2 relations: 256344 3 relations: 263178 4 relations: 240669 5 relations: 215931 6 relations: 191276 7 relations: 169090 8 relations: 143032 9 relations: 119161 10+ relations: 306474 heaviest cycle: 16 relations commencing cycle optimization start with 11678795 relations pruned 203720 relations memory use: 418.4 MB distribution of cycle lengths: 1 relations: 267852 2 relations: 261348 3 relations: 270536 4 relations: 244922 5 relations: 219679 6 relations: 193560 7 relations: 170065 8 relations: 142674 9 relations: 117882 10+ relations: 284489 heaviest cycle: 16 relations RelProcTime: 2013 commencing linear algebra read 2173007 cycles cycles contain 7217303 unique relations read 7217303 relations using 20 quadratic characters above 1073720112 building initial matrix memory use: 954.6 MB read 2173007 cycles matrix is 2172783 x 2173007 (664.9 MB) with weight 209552196 (96.43/col) sparse part has weight 148234724 (68.22/col) filtering completed in 3 passes matrix is 2161644 x 2161844 (663.7 MB) with weight 209040365 (96.70/col) sparse part has weight 148038015 (68.48/col) matrix starts at (0, 0) matrix is 2161644 x 2161844 (663.7 MB) with weight 209040365 (96.70/col) sparse part has weight 148038015 (68.48/col) saving the first 48 matrix rows for later matrix includes 64 packed rows matrix is 2161596 x 2161844 (638.2 MB) with weight 166714298 (77.12/col) sparse part has weight 145677701 (67.39/col) using block size 65536 for processor cache size 6144 kB commencing Lanczos iteration (6 threads) memory use: 579.7 MB linear algebra at 0.1%, ETA 3h57m2161844 dimensions (0.1%, ETA 3h57m) checkpointing every 570000 dimensions844 dimensions (0.1%, ETA 3h51m) linear algebra completed 2161415 of 2161844 dimensions (100.0%, ETA 0h 0m) lanczos halted after 34184 iterations (dim = 2161596) recovered 30 nontrivial dependencies BLanczosTime: 19367 commencing square root phase reading relations for dependency 1 read 1081554 cycles cycles contain 3607470 unique relations read 3607470 relations multiplying 3607470 relations multiply complete, coefficients have about 170.85 million bits initial square root is modulo 1353173 sqrtTime: 671 prp63 factor: 308920966558508340816749170157147470997859479736879019489360513 prp77 factor: 97188649543352110351360227686855138652311602652684051438814999043240760879551 elapsed time 06:07:32``` `ggnfs-sievers (14e, 64 bit asm)` `Phenom 2 1090T, 3.8Ghz`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 4, 2012 16:00:00 UTC 2012 年 12 月 5 日 (水) 1 時 0 分 0 秒 (日本時間)
403e60--
4511e63000 / 4475Markus TervoorenDecember 5, 2012 23:04:21 UTC 2012 年 12 月 6 日 (木) 8 時 4 分 21 秒 (日本時間)

## 5×10226-9

### c205

composite cofactor 合成数の残り `2172527978546517976572120868116487381236564222143282177012778700139193550399803147536757946923878499491108555167689637644630464814768087285568584824226940675156532021583856179958814540028766802542983613271<205>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 4, 2012 16:00:00 UTC 2012 年 12 月 5 日 (水) 1 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 6, 2012 23:09:10 UTC 2012 年 12 月 7 日 (金) 8 時 9 分 10 秒 (日本時間)
403e61000Dmitry DomanovDecember 18, 2012 06:30:25 UTC 2012 年 12 月 18 日 (火) 15 時 30 分 25 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovDecember 29, 2012 14:39:10 UTC 2012 年 12 月 29 日 (土) 23 時 39 分 10 秒 (日本時間)

## 5×10227-9

### c156

name 名前 Ignacio Santos January 7, 2016 19:03:39 UTC 2016 年 1 月 8 日 (金) 4 時 3 分 39 秒 (日本時間) `938432885648231565022544325206729523772618426271276697092774575683956149101221731267473461019342995605230187266322708584292821132557480010102805525706180287<156>` `1962761629217768326622346970986505310441640875119<49>` `478118622087711738511636166957068503893502792540250122110330821472658740040142604587674155265245336785271473<108>` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4148416314 Step 1 took 42531ms Step 2 took 18516ms ********** Factor found in step 2: 1962761629217768326622346970986505310441640875119 Found prime factor of 49 digits: 1962761629217768326622346970986505310441640875119 Composite cofactor 478118622087711738511636166957068503893502792540250122110330821472658740040142604587674155265245336785271473 has 108 digits``` `GMP-ECM 7.0`

### c108

name 名前 Serge Batalov January 11, 2016 06:09:17 UTC 2016 年 1 月 11 日 (月) 15 時 9 分 17 秒 (日本時間) `478118622087711738511636166957068503893502792540250122110330821472658740040142604587674155265245336785271473<108>` ```25740202510416078025170231924406096461928656749407<50> 18574780905248720218969658238934342277262356698494301817839<59>``` ```Divisors found: p50 factor: 25740202510416078025170231924406096461928656749407 p59 factor: 18574780905248720218969658238934342277262356698494301817839 Version: Msieve v. 1.53 (SVN unknown) Total time: 33.05 hours. Factorization parameters were as follows: n: 478118622087711738511636166957068503893502792540250122110330821472658740040142604587674155265245336785271473 type: gnfs skew: 50388391.79 Y0: -315917956917526761677748547 Y1: 73724761487905 c0: 76743685851937833138640476280584 c1: 1337254064487844398765350 c2: -271344664231620811 c3: -1338605346 c4: 48 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved algebraic special-q in [1250000, 7250001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 449025 x 449252 Total sieving time: 32.88 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.10 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: gnfs,107,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000 total time: 33.05 hours.```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 4, 2012 16:00:00 UTC 2012 年 12 月 5 日 (水) 1 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 6, 2012 23:09:17 UTC 2012 年 12 月 7 日 (金) 8 時 9 分 17 秒 (日本時間)
403e61000Dmitry DomanovDecember 18, 2012 06:30:36 UTC 2012 年 12 月 18 日 (火) 15 時 30 分 36 秒 (日本時間)
4511e63150 / 41941000Dmitry DomanovDecember 19, 2012 16:31:50 UTC 2012 年 12 月 20 日 (木) 1 時 31 分 50 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:12:14 UTC 2013 年 11 月 9 日 (土) 2 時 12 分 14 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:05 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 5 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:59 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 59 秒 (日本時間)

## 5×10228-9

### c182

name 名前 Dmitry Domanov December 14, 2012 09:28:46 UTC 2012 年 12 月 14 日 (金) 18 時 28 分 46 秒 (日本時間) `56056272921305384966958324258835087207191766683920220449429849196178666212234883634186638718765260520349630276806248037246898041473315453002571922290447598325680781770647591528388339<182>` ```407335751924989197536537863095902439379<39> 137616874179087862465961512339763747191725783010520108133352762612906512773132804346215459260328931272267691488669567936883551208314843981062241<144>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3476326912 Step 1 took 33476ms Step 2 took 11636ms ********** Factor found in step 2: 407335751924989197536537863095902439379 Found probable prime factor of 39 digits: 407335751924989197536537863095902439379```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 4, 2012 16:00:00 UTC 2012 年 12 月 5 日 (水) 1 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 6, 2012 23:09:26 UTC 2012 年 12 月 7 日 (金) 8 時 9 分 26 秒 (日本時間)

## 5×10229-9

### c138

name 名前 Warut Roonguthai December 5, 2012 22:22:33 UTC 2012 年 12 月 6 日 (木) 7 時 22 分 33 秒 (日本時間) `173319197228374458586913596980405610816890012449041609445113717512998703372116065564104342320472198391248196920286780707639989345744589041<138>` ```1232449586749178606231971510912508953<37> 113962613007990367575269430012170429358541958081<48> 1233999849772612864563794650723622175485009816390277337<55>``` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2024149181 Step 1 took 5335ms Step 2 took 4165ms ********** Factor found in step 2: 1232449586749178606231971510912508953 Found probable prime factor of 37 digits: 1232449586749178606231971510912508953 Composite cofactor 140629847331554530270615577142467278323325138538569818812869117093259011091817232052343896698618310297 has 102 digits N = 140629847331554530270615577142467278323325138538569818812869117093259011091817232052343896698618310297 (102 digits) Divisors found: r1=113962613007990367575269430012170429358541958081 (pp48) r2=1233999849772612864563794650723622175485009816390277337 (pp55) Version: Msieve v. 1.48 Total time: 2.04 hours. Factorization parameters were as follows: n: 140629847331554530270615577142467278323325138538569818812869117093259011091817232052343896698618310297 Y0: -4247492570858949013510843 Y1: 97011865509503 c0: 6942931032416385990303096360 c1: -17414914592034971330016 c2: -25333506939235978 c3: 2755295799 c4: 432 skew: 4034778.70 type: gnfs Factor base limits: 2300000/2300000 Large primes per side: 3 Large prime bits: 26/26 Sieved algebraic special-q in [0, 0) Total raw relations: 5157074 Relations: 407644 relations Pruned matrix : 242963 x 243188 Polynomial selection time: 0.00 hours. Total sieving time: 1.93 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.07 hours. time per square root: 0.02 hours. Prototype def-par.txt line would be: gnfs,101,4,59,2000,0.0009,0.35,200,15,15000,2000,2300000,2300000,26,26,49,49,2.6,2.6,100000 total time: 2.04 hours. Intel64 Family 6 Model 42 Stepping 7, GenuineIntel Windows-7-6.1.7601-SP1 processors: 4, speed: 2.29GHz``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 4, 2012 16:00:00 UTC 2012 年 12 月 5 日 (水) 1 時 0 分 0 秒 (日本時間)

## 5×10231-9

### c218

composite cofactor 合成数の残り `10614005056016225533796308698928198913582067079776363083751410010237491831667548492370200975504535382190485696373546999267992807793387093972399152025764110822176726044231738060119964553783557820541654839337251882841337<218>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 4, 2012 16:00:00 UTC 2012 年 12 月 5 日 (水) 1 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 6, 2012 23:09:47 UTC 2012 年 12 月 7 日 (金) 8 時 9 分 47 秒 (日本時間)
403e61000Dmitry DomanovDecember 18, 2012 06:30:47 UTC 2012 年 12 月 18 日 (火) 15 時 30 分 47 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovDecember 29, 2012 14:38:49 UTC 2012 年 12 月 29 日 (土) 23 時 38 分 49 秒 (日本時間)

## 5×10232-9

### c232

name 名前 Warut Roonguthai December 5, 2012 09:55:04 UTC 2012 年 12 月 5 日 (水) 18 時 55 分 4 秒 (日本時間) `1724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379<232>` `3314479655559993251920284699461<31>` `520183591455227519761651388175288775893625924297802900130241627825354871757624575754686822648647062195672098853547383562113735105738671814752497992225613787665261329007094432579338966664798250167098439<201>` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2155262415 Step 1 took 16458ms Step 2 took 8580ms ********** Factor found in step 2: 3314479655559993251920284699461 Found probable prime factor of 31 digits: 3314479655559993251920284699461 Composite cofactor 520183591455227519761651388175288775893625924297802900130241627825354871757624575754686822648647062195672098853547383562113735105738671814752497992225613787665261329007094432579338966664798250167098439 has 201 digits``` `GMP-ECM 6.3`

### c201

name 名前 Dmitry Domanov December 14, 2012 09:28:19 UTC 2012 年 12 月 14 日 (金) 18 時 28 分 19 秒 (日本時間) `520183591455227519761651388175288775893625924297802900130241627825354871757624575754686822648647062195672098853547383562113735105738671814752497992225613787665261329007094432579338966664798250167098439<201>` `277113702649196393504243705628575071669<39>` `1877148572886480496630622396615270196560801969561583666624859532780322749559604814103234997521774997746378594843755749779344199236840109919255490826638689299304331<163>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2051468764 Step 1 took 39251ms Step 2 took 13160ms ********** Factor found in step 2: 277113702649196393504243705628575071669 Found probable prime factor of 39 digits: 277113702649196393504243705628575071669```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 4, 2012 16:00:00 UTC 2012 年 12 月 5 日 (水) 1 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 6, 2012 23:10:00 UTC 2012 年 12 月 7 日 (金) 8 時 10 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 18, 2012 06:30:55 UTC 2012 年 12 月 18 日 (火) 15 時 30 分 55 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovDecember 19, 2012 16:32:04 UTC 2012 年 12 月 20 日 (木) 1 時 32 分 4 秒 (日本時間)

## 5×10233-9

### c220

composite cofactor 合成数の残り `1867733530727717911495805507705604140597828907617433781042829276911400496424890587550916729786923641478563180220950453000426648633717476868941363951981364114379981175847751044703225286490789366756699717646721434560407289<220>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 4, 2012 16:00:00 UTC 2012 年 12 月 5 日 (水) 1 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 6, 2012 23:10:09 UTC 2012 年 12 月 7 日 (金) 8 時 10 分 9 秒 (日本時間)
403e61000Dmitry DomanovDecember 18, 2012 06:31:03 UTC 2012 年 12 月 18 日 (火) 15 時 31 分 3 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovDecember 29, 2012 14:38:19 UTC 2012 年 12 月 29 日 (土) 23 時 38 分 19 秒 (日本時間)

## 5×10234-9

### c202

name 名前 Warut Roonguthai December 5, 2012 14:30:40 UTC 2012 年 12 月 5 日 (水) 23 時 30 分 40 秒 (日本時間) `6078061649247541192795935821420045495268857342738586815728548286866634612867976877366054076709279568558367374354794219027380001685595984512796227618710343730988436109152443738349370119120096018873480611<202>` ```7013814453128966028986429848933289<34> 866584322962240366223956886391171421369346029904632400891906041773200619440444542740323091656381414646191591352008364740719215848386650720301625413783294016695567765099<168>``` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1191349640 Step 1 took 10935ms Step 2 took 6599ms ********** Factor found in step 2: 7013814453128966028986429848933289 Found probable prime factor of 34 digits: 7013814453128966028986429848933289 Probable prime cofactor 866584322962240366223956886391171421369346029904632400891906041773200619440444542740323091656381414646191591352008364740719215848386650720301625413783294016695567765099 has 168 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 4, 2012 16:00:00 UTC 2012 年 12 月 5 日 (水) 1 時 0 分 0 秒 (日本時間)

## 5×10236-9

### c228

name 名前 Warut Roonguthai December 5, 2012 14:43:07 UTC 2012 年 12 月 5 日 (水) 23 時 43 分 7 秒 (日本時間) `600620923592548562763320696673519034663888825326511258253013488452800272589643937153232035307150230768589213681153374665959117600460885744973633828578158820607588823026493493447708022206939996748070145811336167601808018414499361<228>` `248144362978055894821638721656649573049<39>` `2420449597904680846280853366005023217858990744874698304486668044916874404625524254428038004274474295637247362937096709023883216852077787788628306467693502798705926733067364716243221523602089<190>` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=81727846 Step 1 took 11373ms Step 2 took 6099ms ********** Factor found in step 2: 248144362978055894821638721656649573049 Found probable prime factor of 39 digits: 248144362978055894821638721656649573049 Composite cofactor 2420449597904680846280853366005023217858990744874698304486668044916874404625524254428038004274474295637247362937096709023883216852077787788628306467693502798705926733067364716243221523602089 has 190 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 4, 2012 16:00:00 UTC 2012 年 12 月 5 日 (水) 1 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 6, 2012 23:10:26 UTC 2012 年 12 月 7 日 (金) 8 時 10 分 26 秒 (日本時間)
403e61000Dmitry DomanovDecember 18, 2012 06:31:11 UTC 2012 年 12 月 18 日 (火) 15 時 31 分 11 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovDecember 29, 2012 14:37:22 UTC 2012 年 12 月 29 日 (土) 23 時 37 分 22 秒 (日本時間)

## 5×10237-9

### c228

composite cofactor 合成数の残り `161052104651146487355666605219888128344979961603863421784305454486309653413655035876968737232426305646132580733352394174170367217753471018803205602697726779682139931746528409606769779918274946321511482348515281224848491810054799<228>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 4, 2012 16:00:00 UTC 2012 年 12 月 5 日 (水) 1 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 6, 2012 23:10:34 UTC 2012 年 12 月 7 日 (金) 8 時 10 分 34 秒 (日本時間)
403e61000Dmitry DomanovDecember 18, 2012 06:31:22 UTC 2012 年 12 月 18 日 (火) 15 時 31 分 22 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovDecember 29, 2012 14:37:06 UTC 2012 年 12 月 29 日 (土) 23 時 37 分 6 秒 (日本時間)

## 5×10238-9

### c198

name 名前 Warut Roonguthai December 5, 2012 14:28:46 UTC 2012 年 12 月 5 日 (水) 23 時 28 分 46 秒 (日本時間) `545659245828853724352536404992360463312513039243416784684020691329818289138789913549388764965961347206752029028430165187856813000683443780162529972868951508035446822047584677733493150538293646734999<198>` `4663403887166422769174841329<28>` `117008789937859567923219107920260985472659742639060659982743486135605070068937269407914558148543676016228583780659219493614533218571945859622909499784155220658983396372231<171>` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3265132218 Step 1 took 12075ms Step 2 took 7051ms ********** Factor found in step 2: 4663403887166422769174841329 Found probable prime factor of 28 digits: 4663403887166422769174841329 Composite cofactor 117008789937859567923219107920260985472659742639060659982743486135605070068937269407914558148543676016228583780659219493614533218571945859622909499784155220658983396372231 has 171 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 4, 2012 16:00:00 UTC 2012 年 12 月 5 日 (水) 1 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 6, 2012 23:10:45 UTC 2012 年 12 月 7 日 (金) 8 時 10 分 45 秒 (日本時間)
403e61000Dmitry DomanovDecember 18, 2012 06:31:29 UTC 2012 年 12 月 18 日 (火) 15 時 31 分 29 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovDecember 19, 2012 16:32:38 UTC 2012 年 12 月 20 日 (木) 1 時 32 分 38 秒 (日本時間)

## 5×10239-9

### c232

name 名前 Warut Roonguthai December 5, 2012 14:13:46 UTC 2012 年 12 月 5 日 (水) 23 時 13 分 46 秒 (日本時間) `6209256643069463065832637658567804902473875887664463494085068331068672552950895199085967617708288303286719739998057992892313594731530184245906333338702270577374062397589954028774961972339078017533872767885555750264045534118207382143<232>` `7180185993393040627484018978791<31>` `864776573863547094135536138065181720412177705953631448108629608996403755555007725894791828128274943171237978340412277753787340968831881968568870035379408525496907173719554480615362836752729738042754473<201>` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1107527957 Step 1 took 13432ms Step 2 took 6926ms ********** Factor found in step 2: 7180185993393040627484018978791 Found probable prime factor of 31 digits: 7180185993393040627484018978791 Composite cofactor 864776573863547094135536138065181720412177705953631448108629608996403755555007725894791828128274943171237978340412277753787340968831881968568870035379408525496907173719554480615362836752729738042754473 has 201 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 4, 2012 16:00:00 UTC 2012 年 12 月 5 日 (水) 1 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 6, 2012 23:11:00 UTC 2012 年 12 月 7 日 (金) 8 時 11 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 18, 2012 06:31:38 UTC 2012 年 12 月 18 日 (火) 15 時 31 分 38 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovDecember 29, 2012 14:36:52 UTC 2012 年 12 月 29 日 (土) 23 時 36 分 52 秒 (日本時間)

## 5×10240-9

### c209

composite cofactor 合成数の残り `14794471938981704351450955505068780167513909857611661655750852211247430837871855120393584335166609767764154234478515203613770583074275723089038392047825235568251480702366864104893581979383867452776398140908551<209>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 4, 2012 16:00:00 UTC 2012 年 12 月 5 日 (水) 1 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 6, 2012 23:11:09 UTC 2012 年 12 月 7 日 (金) 8 時 11 分 9 秒 (日本時間)
403e620001000Dmitry DomanovDecember 18, 2012 06:31:47 UTC 2012 年 12 月 18 日 (火) 15 時 31 分 47 秒 (日本時間)
1000Dmitry DomanovDecember 18, 2012 06:31:55 UTC 2012 年 12 月 18 日 (火) 15 時 31 分 55 秒 (日本時間)

## 5×10241-9

### c217

composite cofactor 合成数の残り `2181472040859007101851921199097633501737760418881017744630839702970992206236945720150025660477313617610798188960090238645946606335063425441041394798294069715721546400504612339661945969404877861567864514779525913637159<217>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 4, 2012 16:00:00 UTC 2012 年 12 月 5 日 (水) 1 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 6, 2012 23:11:30 UTC 2012 年 12 月 7 日 (金) 8 時 11 分 30 秒 (日本時間)
403e61000Dmitry DomanovDecember 18, 2012 06:32:03 UTC 2012 年 12 月 18 日 (火) 15 時 32 分 3 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovDecember 29, 2012 14:35:28 UTC 2012 年 12 月 29 日 (土) 23 時 35 分 28 秒 (日本時間)

## 5×10242-9

### c217

composite cofactor 合成数の残り `1007002463742479211055963640699792743244521004078686363192654365034571434648914223907255493252639152960576000023973692704962869757234861234947313525264396306700418877166054023913608913671056615647659962742939422701799<217>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 4, 2012 16:00:00 UTC 2012 年 12 月 5 日 (水) 1 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 6, 2012 23:11:36 UTC 2012 年 12 月 7 日 (金) 8 時 11 分 36 秒 (日本時間)
403e61000Dmitry DomanovDecember 18, 2012 06:32:14 UTC 2012 年 12 月 18 日 (火) 15 時 32 分 14 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovDecember 29, 2012 14:35:41 UTC 2012 年 12 月 29 日 (土) 23 時 35 分 41 秒 (日本時間)

## 5×10243-9

### c224

name 名前 Warut Roonguthai December 5, 2012 06:23:38 UTC 2012 年 12 月 5 日 (水) 15 時 23 分 38 秒 (日本時間) `24806366952763086094631450743368549135331841061962716729896923725566542773233447888049539383740033220991026389724109933150620530516919175449232402795565788707507899023207023986543877743136316480519821955324339243990439276607<224>` `728172863324056581391882604327<30>` `34066590781100810050966838221876781450544264096138340899981309389882829172230778018650979025365568735172677357210229344926798984511487699204872143857546869078064787372560275905699450889762489641<194>` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4274702915 Step 1 took 11481ms Step 2 took 6599ms ********** Factor found in step 2: 728172863324056581391882604327 Found probable prime factor of 30 digits: 728172863324056581391882604327 Composite cofactor 34066590781100810050966838221876781450544264096138340899981309389882829172230778018650979025365568735172677357210229344926798984511487699204872143857546869078064787372560275905699450889762489641 has 194 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 4, 2012 16:00:00 UTC 2012 年 12 月 5 日 (水) 1 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 6, 2012 23:11:42 UTC 2012 年 12 月 7 日 (金) 8 時 11 分 42 秒 (日本時間)
403e61000Dmitry DomanovDecember 18, 2012 06:32:22 UTC 2012 年 12 月 18 日 (火) 15 時 32 分 22 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovDecember 29, 2012 14:35:53 UTC 2012 年 12 月 29 日 (土) 23 時 35 分 53 秒 (日本時間)

## 5×10244-9

### c245

name 名前 Dmitry Domanov December 14, 2012 09:26:30 UTC 2012 年 12 月 14 日 (金) 18 時 26 分 30 秒 (日本時間) `49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991<245>` `18092311085010007397019439362300305549<38>` `2763604923940668772130017142350081438595441911655789707491226882227017518192053820372669804439577170090764624697875244079842359817999532803064425867243084978227362559701137753418270662197513119397939903597459<208>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1538564130 Step 1 took 52252ms ********** Factor found in step 1: 18092311085010007397019439362300305549 Found probable prime factor of 38 digits: 18092311085010007397019439362300305549```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 4, 2012 16:00:00 UTC 2012 年 12 月 5 日 (水) 1 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 6, 2012 23:11:50 UTC 2012 年 12 月 7 日 (金) 8 時 11 分 50 秒 (日本時間)
403e61000Dmitry DomanovDecember 18, 2012 06:32:30 UTC 2012 年 12 月 18 日 (火) 15 時 32 分 30 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovDecember 29, 2012 14:36:05 UTC 2012 年 12 月 29 日 (土) 23 時 36 分 5 秒 (日本時間)

## 5×10246-9

### c196

composite cofactor 合成数の残り `1763815845694559393251471373107374335358626640076486802733191555939711355916392525141275234499193973800705616774414885506415247644999344000708049465543306563127695537499319670384472796590616518519<196>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 4, 2012 16:00:00 UTC 2012 年 12 月 5 日 (水) 1 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 6, 2012 23:12:04 UTC 2012 年 12 月 7 日 (金) 8 時 12 分 4 秒 (日本時間)
403e61000Dmitry DomanovDecember 18, 2012 06:32:40 UTC 2012 年 12 月 18 日 (火) 15 時 32 分 40 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovDecember 29, 2012 14:36:17 UTC 2012 年 12 月 29 日 (土) 23 時 36 分 17 秒 (日本時間)

## 5×10247-9

### c225

composite cofactor 合成数の残り `690724762602303343413258213302280640350540049226169109016881240307400963544410806707232821525274834679772615569869662202669571234824498697954403073925087464165627448291107431246741876714864098018301466052081782587310043205799<225>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 4, 2012 16:00:00 UTC 2012 年 12 月 5 日 (水) 1 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 6, 2012 23:12:11 UTC 2012 年 12 月 7 日 (金) 8 時 12 分 11 秒 (日本時間)
403e61000Dmitry DomanovDecember 18, 2012 06:32:48 UTC 2012 年 12 月 18 日 (火) 15 時 32 分 48 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovDecember 29, 2012 14:36:31 UTC 2012 年 12 月 29 日 (土) 23 時 36 分 31 秒 (日本時間)

## 5×10249-9

### c232

name 名前 Warut Roonguthai December 4, 2012 20:43:14 UTC 2012 年 12 月 5 日 (水) 5 時 43 分 14 秒 (日本時間) `7016868496852578339004775484424895056459816581725320351156275543153380653652998265148397464332547326474999058966674683951904488565662801449983752282541653850023138722750298404274862808919458269210285887417279972581607913474559192143<232>` ```7205625704529587664236512023079<31> 973804189196456165664928885362812239437360254461429470054450792428846812905563515248931083502330265127514799712653773895016256595204314117661304124175755820578861750681525774609325562668939827557496217<201>``` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1978561176 Step 1 took 13479ms ********** Factor found in step 1: 7205625704529587664236512023079 Found probable prime factor of 31 digits: 7205625704529587664236512023079 Probable prime cofactor 973804189196456165664928885362812239437360254461429470054450792428846812905563515248931083502330265127514799712653773895016256595204314117661304124175755820578861750681525774609325562668939827557496217 has 201 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 4, 2012 16:00:00 UTC 2012 年 12 月 5 日 (水) 1 時 0 分 0 秒 (日本時間)

## 5×10250-9

### c220

composite cofactor 合成数の残り `3195426477595973612524279216840522261444905523821594008059958918149227293847442993861904064549611539899506843805011074075401548925721705248394743317016361852141936489352149251302317439386162102486500389623809148056276571<220>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 4, 2012 16:00:00 UTC 2012 年 12 月 5 日 (水) 1 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 6, 2012 23:12:18 UTC 2012 年 12 月 7 日 (金) 8 時 12 分 18 秒 (日本時間)
403e61000Dmitry DomanovDecember 17, 2012 16:24:42 UTC 2012 年 12 月 18 日 (火) 1 時 24 分 42 秒 (日本時間)
4511e61000Dmitry DomanovDecember 17, 2012 16:24:42 UTC 2012 年 12 月 18 日 (火) 1 時 24 分 42 秒 (日本時間)
5043e6928 / 7283Dmitry DomanovDecember 18, 2012 21:27:43 UTC 2012 年 12 月 19 日 (水) 6 時 27 分 43 秒 (日本時間)

## 5×10251-9

### c230

composite cofactor 合成数の残り `85918705488258504143195334569844705874466678499755975478665937433793247383825124764304905904703206612985631149312082039237727811018791534646786716859522615304435633262714386225941831605791659272624748427589488769868617832440013951<230>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e64000ebinaJuly 10, 2024 12:25:31 UTC 2024 年 7 月 10 日 (水) 21 時 25 分 31 秒 (日本時間)

## 5×10252-9

### c251

composite cofactor 合成数の残り `63291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329113924050632911392405063291139240506329<251>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10254-9

### c189

composite cofactor 合成数の残り `182115742462644890752345048841840399256825959335659214870654382865370421283523790544556954947877721162122158729611226401167108224085645293871575255108565969466126588387561191288106755694969<189>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10255-9

### c214

composite cofactor 合成数の残り `3464852321581827179502243214491197370068962662227326114641429002813167131283147443454061180559811756007625280596281857760324746081193676459735780226469231779648364193772452989168396176145657605779663234975515364361<214>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10258-9

### c212

composite cofactor 合成数の残り `12448949964228718782740274907637532932827903666019892064844675234710099216500898978467155181656518795219727457986597957770559045915574007395815849383172111781985025906186478173720355293630019413842760091800033461<212>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10259-9

### c214

composite cofactor 合成数の残り `1427629560906289008288830924493736075099156382978103945586707369979068251696971658377648196282480484714901620239604061525091812414440547991877955149455042497793896176202323087789803263191284319790542632173729499071<214>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10262-9

### c239

composite cofactor 合成数の残り `83965364471605933507257292596951200641888176961317447079865595754266288112168044092886639983917673239303739628387269818177786228968519407363879023054028349577176225243051281113474316622412564355428516157315040396734116780093120277241804161<239>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10263-9

### c225

composite cofactor 合成数の残り `298717147162481235953737699514747164918185730216367629487582569409707104809209244668985918475278945576608819216884477522160101605849429497013670685503017783578309336970597874710519584574238998520615107914403641199980176829201<225>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10265-9

### c237

composite cofactor 合成数の残り `602850615814210695264393421448810003660212576730702290398533324896400846353225527750931123351963994577039054115236515111035236185638929953244807507009023627796520755098990455607628199677995765762563326602415018424794013139421370878243223<237>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10267-9

### c145

name 名前 Robert Balfour March 31, 2020 21:21:23 UTC 2020 年 4 月 1 日 (水) 6 時 21 分 23 秒 (日本時間) `1950950210896902696444915487855195535538715725817674241358574859923922615269420353768546315358596476876549824683086808953722238604346135211937033<145>` ```2388307036157731379512323383577716367902119012486917338028015425736167<70> 816875795850586670664221667787020898958501559574447404665882336414226419599<75>``` ```PID21465 2020-03-31 17:00:30,398 Debug:root: Root parameter dictionary: N = 1950950210896902696444915487855195535538715725817674241358574859923922615269420353768546315358596476876549824683086808953722238604346135211937033 name = 49991_267 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 PID21465 2020-03-31 17:18:10,128 Info:Polynomial Selection (root optimized): Best polynomial is: n: 1950950210896902696444915487855195535538715725817674241358574859923922615269420353768546315358596476876549824683086808953722238604346135211937033 skew: 956688.998 c0: -26272168210633332824410607728447560 c1: 83633167715037809751131633026 c2: 64835625167139853462746 c3: -241503217743576649 c4: -99378806874 c5: 43560 Y0: -10616234470833387417431876731 Y1: 16758836435015506631 # MurphyE (Bf=2.147e+09,Bg=1.074e+09,area=1.342e+13) = 3.057e-06 PID21465 2020-03-31 21:50:08,454 Info:Square Root: Factors: 816875795850586670664221667787020898958501559574447404665882336414226419599 2388307036157731379512323383577716367902119012486917338028015425736167 PID21465 2020-03-31 21:50:08,454 Debug:Square Root: Exit SqrtTask.run(sqrt) PID21465 2020-03-31 21:50:08,454 Info:Polynomial Selection (size optimized): Aggregate statistics: PID21465 2020-03-31 21:50:08,454 Info:Polynomial Selection (size optimized): potential collisions: 144726 PID21465 2020-03-31 21:50:08,455 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 147136/42.340/52.540/61.540/1.205 PID21465 2020-03-31 21:50:08,455 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 122139/41.960/46.450/52.880/0.984 PID21465 2020-03-31 21:50:08,455 Info:Polynomial Selection (size optimized): Total time: 63374.9 PID21465 2020-03-31 21:50:08,455 Info:Polynomial Selection (root optimized): Aggregate statistics: PID21465 2020-03-31 21:50:08,455 Info:Polynomial Selection (root optimized): Total time: 2237.3 PID21465 2020-03-31 21:50:08,455 Info:Polynomial Selection (root optimized): Rootsieve time: 2235.77 PID21465 2020-03-31 21:50:08,455 Info:Generate Factor Base: Total cpu/real time for makefb: 14.37/2.73112 PID21465 2020-03-31 21:50:08,456 Info:Generate Free Relations: Total cpu/real time for freerel: 1340.68/226.573 PID21465 2020-03-31 21:50:08,456 Info:Lattice Sieving: Aggregate statistics: PID21465 2020-03-31 21:50:08,456 Info:Lattice Sieving: Total number of relations: 93040339 PID21465 2020-03-31 21:50:08,456 Info:Lattice Sieving: Average J: 8090.93 for 437232 special-q, max bucket fill -bkmult 1.0,1s:1.084850 PID21465 2020-03-31 21:50:08,456 Info:Lattice Sieving: Total time: 432389s PID21465 2020-03-31 21:50:08,456 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 270.41/250.842 PID21465 2020-03-31 21:50:08,457 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: PID21465 2020-03-31 21:50:08,457 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 250.4s PID21465 2020-03-31 21:50:08,457 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1047.2/393.524 PID21465 2020-03-31 21:50:08,457 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: PID21465 2020-03-31 21:50:08,457 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 302.9s PID21465 2020-03-31 21:50:08,457 Info:Filtering - Singleton removal: Total cpu/real time for purge: 419.04/259.704 PID21465 2020-03-31 21:50:08,458 Info:Filtering - Merging: Total cpu/real time for merge: 150.03/33.9429 PID21465 2020-03-31 21:50:08,458 Info:Filtering - Merging: Total cpu/real time for replay: 53.84/55.1572 PID21465 2020-03-31 21:50:08,458 Info:Linear Algebra: Total cpu/real time for bwc: 41408.5/7261.12 PID21465 2020-03-31 21:50:08,458 Info:Linear Algebra: Aggregate statistics: PID21465 2020-03-31 21:50:08,458 Info:Linear Algebra: Krylov: WCT time 4648.23, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (67072 iterations) PID21465 2020-03-31 21:50:08,458 Info:Linear Algebra: Lingen CPU time 260.46, WCT time 48.96 PID21465 2020-03-31 21:50:08,459 Info:Linear Algebra: Mksol: WCT time 2446.11, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (32768 iterations) PID21465 2020-03-31 21:50:08,459 Info:Quadratic Characters: Total cpu/real time for characters: 69.87/21.3777 PID21465 2020-03-31 21:50:08,459 Info:Square Root: Total cpu/real time for sqrt: 574.05/127.579 PID21465 2020-03-31 21:50:08,459 Info:HTTP server: Shutting down HTTP server PID21465 2020-03-31 21:50:08,559 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.00362e+06/17376.7``` `CADO-NFS`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e61000 / 3844Dmitry DomanovApril 29, 2019 08:29:33 UTC 2019 年 4 月 29 日 (月) 17 時 29 分 33 秒 (日本時間)

## 5×10268-9

### c251

composite cofactor 合成数の残り `16789511107024760465106010042065653297397714123251551792272692501736456110174931229812937578651928439508029868246059598551890217128444721626320961129167855137789480781567883578738249053221229468014487909027186280011742618392631614220677070544456545071<251>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10269-9

### c225

composite cofactor 合成数の残り `103240875780394157766221385138527815416569919109768377049043053765733147074046355518195080251005228841273214038418972641203908846268840056938889254090284401621202507781866807524975197266394544696114613829818200510910694272641<225>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10270-9

### c250

composite cofactor 合成数の残り `4558414704633507792683576093087692688420473682008239449005377523819225907350988409719022251054832350991774227359962727073961257128217666129997452478266531162436755051476892121963708065585110311263180843854968838667017356473622315224162505725333179579<250>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10271-9

### c214

composite cofactor 合成数の残り `6088303466559739907397231217864294002008977700212168483484388883596553371751149949030993831035294776847089574719493176516462660511060314310647346192240123607557879305505718563352202645999430253185216656259371150921<214>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10273-9

### c272

composite cofactor 合成数の残り `23041474654377880184331797235023041474654377880184331797235023041474654377880184331797235023041474654377880184331797235023041474654377880184331797235023041474654377880184331797235023041474654377880184331797235023041474654377880184331797235023041474654377880184331797235023<272>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10274-9

### c175

composite cofactor 合成数の残り `1740280106167861952552638101680378788706280395827139208467897023610247213392742576436580392250841277114601982767186015703945440890087458373835794506452429981515337276880968171<175>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovMarch 24, 2019 00:25:08 UTC 2019 年 3 月 24 日 (日) 9 時 25 分 8 秒 (日本時間)
5043e6600 / 6996Dmitry DomanovApril 9, 2019 23:27:03 UTC 2019 年 4 月 10 日 (水) 8 時 27 分 3 秒 (日本時間)

## 5×10275-9

### c247

composite cofactor 合成数の残り `7265594949577486529511758283153501973838316961364666404986681069311734724450638519469415059904355733666808459448691602475741335690011684105651804852842274760676373013203688343632150153735114290399378956571461708708083553461506586563594948221000321<247>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10276-9

### c276

composite cofactor 合成数の残り `121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951<276>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10277-9

### c241

composite cofactor 合成数の残り `1270349167570653780439793762650686595623269846655046376553794999227217134234418363148536777384779822663045244286450390111285646568132148064898321852832048893333581883069032217442610748757649998581639398410803472607557617053918605234713247193<241>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10278-9

### c230

composite cofactor 合成数の残り `26906105621361195422399072582179262992833469087390411115931909150803579387754576283524176522312276958389674655342655919900144989048190737067648068309621840291721750473402687938633936857537548420780534125966172827367282375434750881<230>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10279-9

### c181

composite cofactor 合成数の残り `1773050858270490111505071937294496743083299571810511385545623029799837682291432355304189158705280649246161062251596234050407707803223003448518161806531880278236288699227068061429809<181>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovMarch 23, 2019 18:11:41 UTC 2019 年 3 月 24 日 (日) 3 時 11 分 41 秒 (日本時間)
5043e62392 / 6996600Dmitry DomanovApril 11, 2019 21:37:24 UTC 2019 年 4 月 12 日 (金) 6 時 37 分 24 秒 (日本時間)
1792Dmitry DomanovApril 27, 2024 11:24:53 UTC 2024 年 4 月 27 日 (土) 20 時 24 分 53 秒 (日本時間)

## 5×10280-9

### c268

composite cofactor 合成数の残り `1021825034148431861566721960240338977591875990353933526697582258226286691274754761417396162569541574284356019276853917068306682674027564527010149345898371367414820715188939893410938757952804561622583882338848939476999454725762542643182911735471044999628297486012918979<268>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10282-9

### c194

composite cofactor 合成数の残り `99698909165416688003352891663930370453085634083270117991423963779772193968237155231559257121664106086886638373804066212827614659027051573995355434473062246402202394504633625106920990331275190401<194>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovMarch 23, 2019 17:57:20 UTC 2019 年 3 月 24 日 (日) 2 時 57 分 20 秒 (日本時間)
5043e61000Dmitry DomanovApril 8, 2019 13:40:45 UTC 2019 年 4 月 8 日 (月) 22 時 40 分 45 秒 (日本時間)
5511e72880 / 17265Erik BrangerMay 9, 2019 15:10:08 UTC 2019 年 5 月 10 日 (金) 0 時 10 分 8 秒 (日本時間)

## 5×10284-9

### c285

name 名前 Dmitry Domanov March 23, 2019 13:06:36 UTC 2019 年 3 月 23 日 (土) 22 時 6 分 36 秒 (日本時間) `499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991<285>` `15114056330012724052105590302677734707140271<44>` `33081787515051498131601340802880334963651422818040294633680980580709942102864764184766809014307813996925257480709795679000794379055520062854263994693918879774373970460573159606079900874640492797863062783138717891449392301169044286619937963321<242>` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4224871630 Step 1 took 80545ms ********** Factor found in step 1: 15114056330012724052105590302677734707140271 Found prime factor of 44 digits: 15114056330012724052105590302677734707140271```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62000 / 3844Dmitry DomanovMarch 23, 2019 01:29:02 UTC 2019 年 3 月 23 日 (土) 10 時 29 分 2 秒 (日本時間)

## 5×10287-9

### c231

composite cofactor 合成数の残り `519665710342777310861561708552363955904881287872519389308705412324114238502112953508219131565052770048853882110423328882737758761473931116924112707433047816501477631893152579356669210238491252522499234494604687328138206009254894631<231>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10288-9

### c265

composite cofactor 合成数の残り `1081740493768364045426167670813643375683491306782497055320258690369482121333455173612878670349956332025361428476390567760706251588627270630339693618004195867920281967409437620073154510201968785656202901452077628951596391881017019794582899548107016189601640719269099<265>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10290-9

### c244

composite cofactor 合成数の残り `5199601084783547979107362047725184419440298524535839140794954728415970258030973180802080173941750587876507415918112041345949630627049958828445459895593800733733796726494824991693199995553985418694160399651982194831737462254303250339879598281729<244>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10291-9

### c259

composite cofactor 合成数の残り `3069729077558100108889590086573266628884020844481217620284638629614110667101610405867739791561158431601395096188261380427145369609349725890775162349610857725284626043362228345176718757573491008594477458170288284822352820930746361008308363591495771312369140673<259>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10292-9

### c249

composite cofactor 合成数の残り `971509206659838254694874139087868115363845042791529416029967802195882621443542919248962868085993807739609380396881848112873309787425400728257429161339101064259714710925815156067428177012443693645399286840312242032714363739719572919225627948322381261<249>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10293-9

### c255

composite cofactor 合成数の残り `128459232007307244268536621851329897839493993030052385074112413550118327748321663269168887422178264175785520674229160360413317393956611501428025761181839576505324400746889912794005547233063161876518634289987761159848314753077409662234154393844547701578839<255>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10294-9

### c248

composite cofactor 合成数の残り `25916582075653750571489084996246748896362754882910820832809496890974088637754098915492865254792572487673869731126700681648696066337233727674725639706539987025618868649766265634016416829762655256617134621642060770726071085268105221915707719057500291<248>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10295-9

### c267

composite cofactor 合成数の残り `364812236121002820827096134824181930298113949446747183183219258288561495184207299488061800061682840676995444364616972295627419304811339930638963835685918052713565723508792088763584980132379881682002125998605929040976894641617325842205354057954511308286339027229994607<267>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10296-9

### c291

composite cofactor 合成数の残り `138359242023797236191125029435928740562861999661850012493839554748890428058590158064365272826438569465056128193711793824805653690691273212184136227402822694568375892174982379950528269421971060227501334474889319524343063400908909532702728803986738543370503082505553048178625102074530803056411<291>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10297-9

### c212

composite cofactor 合成数の残り `24857994327650335870134067246051950636961573018648956537627008061176247153341009825844196014612955538297010330388808761022250286135290418299269134408043480279087339023221121143656449983236762673404791846773668737<212>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10299-9

### c257

composite cofactor 合成数の残り `13895849138460029251663049048436124891268266358556357460034103667619249516938033573074389019352512217724223188470888193831294537184415932217259609939027486799995502021659171503288535416850815231126682678238703727513902386655043807831188261693654127035057423<257>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)

## 5×10300-9

### c247

composite cofactor 合成数の残り `1605377905551969650906938506001307800870261682927660132250842033281115328258951102520181165640940218077742088805869306321024165998278940022654993394897714436866096312322820966311266573082965999612967441432666744045961221151044043577376319855360211<247>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerMarch 18, 2019 00:00:00 UTC 2019 年 3 月 18 日 (月) 9 時 0 分 0 秒 (日本時間)
4511e62400Dmitry DomanovMarch 23, 2019 17:37:43 UTC 2019 年 3 月 24 日 (日) 2 時 37 分 43 秒 (日本時間)
5043e6412 / 6906Dmitry DomanovMarch 24, 2019 19:15:08 UTC 2019 年 3 月 25 日 (月) 4 時 15 分 8 秒 (日本時間)