Contributed factorization results of 11...11911...11

Table of contents 目次

10¹⁵³+72×10⁷⁶-19
- c134
- ECM
10¹⁵⁵+72×10⁷⁷-19
- c122
- ECM
10¹⁶¹+72×10⁸⁰-19
- c144
- ECM
10¹⁶⁵+72×10⁸²-19
- c146
- ECM
10¹⁶⁷+72×10⁸³-19
- c137
- ECM
10¹⁶⁹+72×10⁸⁴-19
- c135
- ECM
10¹⁷⁹+72×10⁸⁹-19
- c142
- ECM
10¹⁸¹+72×10⁹⁰-19
- c115
- ECM
10¹⁸³+72×10⁹¹-19
- c142
- ECM
10¹⁸⁵+72×10⁹²-19
- c128
- ECM
10¹⁸⁹+72×10⁹⁴-19
- c130
- ECM
10¹⁹¹+72×10⁹⁵-19
- c164
- ECM
10¹⁹³+72×10⁹⁶-19
- c154
- c120
- ECM
10¹⁹⁵+72×10⁹⁷-19
- c183
- ECM
10¹⁹⁷+72×10⁹⁸-19
- c154
- ECM
10¹⁹⁹+72×10⁹⁹-19
- c177
- ECM
10²⁰¹+72×10¹⁰⁰-19
- c158
- ECM
10²⁰³+72×10¹⁰¹-19
- c157
- ECM
10²⁰⁷+72×10¹⁰³-19
- c170
- ECM
10²⁰⁹+72×10¹⁰⁴-19
- c188
- ECM
10²¹¹+72×10¹⁰⁵-19
- c209
- c181
- c147
- ECM
10²¹³+72×10¹⁰⁶-19
- c163
- c122
- ECM
10²¹⁵+72×10¹⁰⁷-19
- c179
- ECM
10²¹⁹+72×10¹⁰⁹-19
- c205
- ECM
10²²¹+72×10¹¹⁰-19
- c216
- ECM
10²²⁵+72×10¹¹²-19
- c211
- ECM
10²²⁷+72×10¹¹³-19
- c199
- ECM
10²²⁹+72×10¹¹⁴-19
- c178
- ECM
10²³¹+72×10¹¹⁵-19
- c222
- ECM
10²³⁵+72×10¹¹⁷-19
- c219
- ECM
10²³⁷+72×10¹¹⁸-19
- c221
- ECM
10²³⁹+72×10¹¹⁹-19
- c228
- ECM
10²⁴¹+72×10¹²⁰-19
- c226
- ECM
10²⁴³+72×10¹²¹-19
- c212
- ECM
10²⁴⁷+72×10¹²³-19
- c225
- ECM
10²⁴⁹+72×10¹²⁴-19
- c234
- ECM
10²⁵¹+72×10¹²⁵-19
- c242
- ECM
10²⁵³+72×10¹²⁶-19
- c216
- ECM
10²⁵⁷+72×10¹²⁸-19
- c223
- ECM
10²⁶³+72×10¹³¹-19
- c217
- ECM
10²⁶⁷+72×10¹³³-19
- c252
- ECM
10²⁶⁹+72×10¹³⁴-19
- c265
- ECM
10²⁷¹+72×10¹³⁵-19
- c240
- ECM
10²⁷³+72×10¹³⁶-19
- c273
- ECM
10²⁷⁵+72×10¹³⁷-19
- c251
- ECM
10²⁷⁷+72×10¹³⁸-19
- c229
- ECM
10²⁷⁹+72×10¹³⁹-19
- c236
- ECM
10²⁸¹+72×10¹⁴⁰-19
- c267
- ECM
10²⁸³+72×10¹⁴¹-19
- c252
- ECM
10²⁸⁵+72×10¹⁴²-19
- c250
- ECM
10²⁸⁷+72×10¹⁴³-19
- c280
- ECM
10²⁹³+72×10¹⁴⁶-19
- c243
- ECM
10²⁹⁵+72×10¹⁴⁷-19
- c275
- ECM
10²⁹⁷+72×10¹⁴⁸-19
- c235
- ECM
10²⁹⁹+72×10¹⁴⁹-19
- c245
- ECM
10³⁰¹+72×10¹⁵⁰-19
- c271
- ECM

10¹⁵³+72×10⁷⁶-19

c134

name 名前	Dmitry Domanov
date 日付	February 1, 2011 21:05:37 UTC 2011 年 2 月 2 日 (水) 6 時 5 分 37 秒 (日本時間)
composite number 合成数	62645469186302054644224169218919199090147049529565438023410548553358996637394101404819094753580277511343147257683165336104266534363153<134>
prime factors 素因数	28543049735317455802225927503763426036202594893867859<53> 2194771398544294752783422891381703640026413396384262817364690948721483290589347467<82>
factorization results 素因数分解の結果	Number: sp1 N=62645469186302054644224169218919199090147049529565438023410548553358996637394101404819094753580277511343147257683165336104266534363153 ( 134 digits) SNFS difficulty: 153 digits. Divisors found: r1=28543049735317455802225927503763426036202594893867859 (pp53) r2=2194771398544294752783422891381703640026413396384262817364690948721483290589347467 (pp82) Version: Msieve-1.40 Total time: 21.41 hours. Scaled time: 40.09 units (timescale=1.872). Factorization parameters were as follows: n: 62645469186302054644224169218919199090147049529565438023410548553358996637394101404819094753580277511343147257683165336104266534363153 m: 10000000000000000000000000 deg: 6 c6: 1000 c3: 720 c0: -1 skew: 0.32 type: snfs lss: 1 rlim: 2500000 alim: 2500000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved rational special-q in [1250000, 2650001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 511102 x 511350 Total sieving time: 20.67 hours. Total relation processing time: 0.06 hours. Matrix solve time: 0.28 hours. Time per square root: 0.39 hours. Prototype def-par.txt line would be: snfs,153.000,6,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000 total time: 21.41 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	0		-	-
35	1e6	118 / 904		Makoto Kamada	January 31, 2011 12:00:00 UTC 2011 年 1 月 31 日 (月) 21 時 0 分 0 秒 (日本時間)

10¹⁵⁵+72×10⁷⁷-19

c122

name 名前	Dmitry Domanov
date 日付	February 1, 2011 21:06:06 UTC 2011 年 2 月 2 日 (水) 6 時 6 分 6 秒 (日本時間)
composite number 合成数	11365594220905288277155102515833193275485740214654858240888732091724756772172885709230643860471918999283385543508534727239<122>
prime factors 素因数	3366908534418603829195856182145233928832647<43> 3375676560476536290371625294865846755532542468448991090967543860515627289871937<79>
factorization results 素因数分解の結果	Number: sp2 N=11365594220905288277155102515833193275485740214654858240888732091724756772172885709230643860471918999283385543508534727239 ( 122 digits) SNFS difficulty: 155 digits. Divisors found: r1=3366908534418603829195856182145233928832647 (pp43) r2=3375676560476536290371625294865846755532542468448991090967543860515627289871937 (pp79) Version: Msieve-1.40 Total time: 25.85 hours. Scaled time: 50.00 units (timescale=1.934). Factorization parameters were as follows: n: 11365594220905288277155102515833193275485740214654858240888732091724756772172885709230643860471918999283385543508534727239 m: 10000000000000000000000000 deg: 6 c6: 100000 c3: 7200 c0: -1 skew: 0.15 type: snfs lss: 1 rlim: 2700000 alim: 2700000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 2700000/2700000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved rational special-q in [1350000, 3050001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 507656 x 507882 Total sieving time: 25.42 hours. Total relation processing time: 0.06 hours. Matrix solve time: 0.28 hours. Time per square root: 0.09 hours. Prototype def-par.txt line would be: snfs,155.000,6,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000 total time: 25.85 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	0		-	-
35	1e6	118 / 904		Makoto Kamada	January 31, 2011 12:00:00 UTC 2011 年 1 月 31 日 (月) 21 時 0 分 0 秒 (日本時間)

10¹⁶¹+72×10⁸⁰-19

c144

name 名前	Serge Batalov
date 日付	February 1, 2011 01:43:49 UTC 2011 年 2 月 1 日 (火) 10 時 43 分 49 秒 (日本時間)
composite number 合成数	140452829800459381968678972724085297192481397735005609706020050107946342129916327590508103280743408810755271201461243186455740567460436427591963<144>
prime factors 素因数	45562673995514369891427296992223<32> 95363270571249592594692727321121298328679<41> 32325120486821616386488126690972906694342000209619078960569775492481139<71>
factorization results 素因数分解の結果	Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=3800467978 Step 1 took 4436ms ******** Factor found in step 1: 45562673995514369891427296992223 Found probable prime factor of 32 digits: 45562673995514369891427296992223 Composite cofactor 3082629211233013153972295378279111819627574310478240274339943434245348226884329991126710927371298835291630285381 has 112 digits Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3669483792 Step 1 took 4523ms Step 2 took 5009ms ******** Factor found in step 2: 95363270571249592594692727321121298328679 Found probable prime factor of 41 digits: 95363270571249592594692727321121298328679 Probable prime cofactor 32325120486821616386488126690972906694342000209619078960569775492481139 has 71 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	0		-	-
35	1e6	118 / 904		Makoto Kamada	January 31, 2011 12:00:00 UTC 2011 年 1 月 31 日 (月) 21 時 0 分 0 秒 (日本時間)

10¹⁶⁵+72×10⁸²-19

c146

name 名前	Sinkiti Sibata
date 日付	February 5, 2011 22:52:32 UTC 2011 年 2 月 6 日 (日) 7 時 52 分 32 秒 (日本時間)
composite number 合成数	85034418943541494422378442618924977697968558372873698851491348498758208968362506076584469142033629765381915207749749442063156777103307836457915987<146>
prime factors 素因数	92570543309803040661292839209115460186129571250204778622569163<62> 918590470609634141446332792183995190513019420822236606047970709265135729564310129049<84>
factorization results 素因数分解の結果	Number: 11911_82 N=85034418943541494422378442618924977697968558372873698851491348498758208968362506076584469142033629765381915207749749442063156777103307836457915987 ( 146 digits) SNFS difficulty: 165 digits. Divisors found: r1=92570543309803040661292839209115460186129571250204778622569163 (pp62) r2=918590470609634141446332792183995190513019420822236606047970709265135729564310129049 (pp84) Version: Msieve-1.40 Total time: 58.03 hours. Scaled time: 160.35 units (timescale=2.763). Factorization parameters were as follows: name: 11911_82 n: 85034418943541494422378442618924977697968558372873698851491348498758208968362506076584469142033629765381915207749749442063156777103307836457915987 m: 1000000000000000000000000000 deg: 6 c6: 1000 c3: 720 c0: -1 skew: 0.32 type: snfs lss: 1 rlim: 3900000 alim: 3900000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 3900000/3900000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved rational special-q in [1950000, 4950001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 744959 x 745207 Total sieving time: 56.29 hours. Total relation processing time: 0.12 hours. Matrix solve time: 1.20 hours. Time per square root: 0.42 hours. Prototype def-par.txt line would be: snfs,165.000,6,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000 total time: 58.03 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 31, 2011 12:00:00 UTC 2011 年 1 月 31 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	280 / 2318		Serge Batalov	February 1, 2011 02:05:18 UTC 2011 年 2 月 1 日 (火) 11 時 5 分 18 秒 (日本時間)

10¹⁶⁷+72×10⁸³-19

c137

name 名前	Jo Yeong Uk
date 日付	February 13, 2011 02:14:37 UTC 2011 年 2 月 13 日 (日) 11 時 14 分 37 秒 (日本時間)
composite number 合成数	35459939231936140644472596082371176804717453754998917558296703509047895341206452277072584510576014211067727210454166045404416842381047767<137>
prime factors 素因数	265137795729924747461700628275192796280672578762463516243<57> 133741547991356249310834658194186291374681320019674382215903822234694596649689069<81>
factorization results 素因数分解の結果	Number: 11911_83 N=35459939231936140644472596082371176804717453754998917558296703509047895341206452277072584510576014211067727210454166045404416842381047767 ( 137 digits) SNFS difficulty: 168 digits. Divisors found: r1=265137795729924747461700628275192796280672578762463516243 r2=133741547991356249310834658194186291374681320019674382215903822234694596649689069 Version: Total time: 35.83 hours. Scaled time: 84.83 units (timescale=2.368). Factorization parameters were as follows: n: 35459939231936140644472596082371176804717453754998917558296703509047895341206452277072584510576014211067727210454166045404416842381047767 m: 10000000000000000000000000000 deg: 6 c6: 1 c3: 72 c0: -10 skew: 1.47 type: snfs lss: 1 rlim: 5600000 alim: 5600000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 5600000/5600000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved rational special-q in [2800000, 5700001) Primes: rational ideals reading, algebraic ideals reading, Relations: 9790360 Max relations in full relation-set: Initial matrix: Pruned matrix : 815315 x 815563 Total sieving time: 32.93 hours. Total relation processing time: 1.40 hours. Matrix solve time: 1.39 hours. Time per square root: 0.11 hours. Prototype def-par.txt line would be: snfs,168,6,0,0,0,0,0,0,0,0,5600000,5600000,27,27,51,51,2.4,2.4,100000 total time: 35.83 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Memory: 8046576k/8912896k available (2575k kernel code, 339584k reserved, 1304k data, 212k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.45 BogoMIPS (lpj=2672726) Calibrating delay using timer specific routine.. 5345.46 BogoMIPS (lpj=2672732) Calibrating delay using timer specific routine.. 5345.44 BogoMIPS (lpj=2672724) Calibrating delay using timer specific routine.. 5345.45 BogoMIPS (lpj=2672727)
software ソフトウェア	GGNFS / Msieve v1.39
execution environment 実行環境	Core 2 Quad Q6700

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 31, 2011 12:00:00 UTC 2011 年 1 月 31 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	280 / 2318		Serge Batalov	February 1, 2011 02:05:32 UTC 2011 年 2 月 1 日 (火) 11 時 5 分 32 秒 (日本時間)

10¹⁶⁹+72×10⁸⁴-19

c135

name 名前	Sinkiti Sibata
date 日付	March 17, 2011 23:04:21 UTC 2011 年 3 月 18 日 (金) 8 時 4 分 21 秒 (日本時間)
composite number 合成数	386151797392607261490163863069015090739062127474591959016128017716953092717994589637230789426158576919417175333778016523928223806397901<135>
prime factors 素因数	83470551259386625484278979599375433810869169242983278215058676857<65> 4626203991305051039900814600452732574447845775927734487330201220648693<70>
factorization results 素因数分解の結果	Number: 11911_84 N=386151797392607261490163863069015090739062127474591959016128017716953092717994589637230789426158576919417175333778016523928223806397901 ( 135 digits) SNFS difficulty: 169 digits. Divisors found: r1=83470551259386625484278979599375433810869169242983278215058676857 (pp65) r2=4626203991305051039900814600452732574447845775927734487330201220648693 (pp70) Version: Msieve-1.40 Total time: 85.68 hours. Scaled time: 278.79 units (timescale=3.254). Factorization parameters were as follows: name: 11911_84 n: 386151797392607261490163863069015090739062127474591959016128017716953092717994589637230789426158576919417175333778016523928223806397901 m: 10000000000000000000000000000 deg: 6 c6: 10 c3: 72 c0: -1 skew: 0.68 type: snfs lss: 1 rlim: 4600000 alim: 4600000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 4600000/4600000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved rational special-q in [2300000, 4000001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 784731 x 784979 Total sieving time: 84.15 hours. Total relation processing time: 0.10 hours. Matrix solve time: 1.20 hours. Time per square root: 0.22 hours. Prototype def-par.txt line would be: snfs,169.000,6,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000 total time: 85.68 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 31, 2011 12:00:00 UTC 2011 年 1 月 31 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	280 / 2318		Serge Batalov	February 1, 2011 02:05:43 UTC 2011 年 2 月 1 日 (火) 11 時 5 分 43 秒 (日本時間)

10¹⁷⁹+72×10⁸⁹-19

c142

name 名前	Jo Yeong Uk
date 日付	September 20, 2011 23:33:37 UTC 2011 年 9 月 21 日 (水) 8 時 33 分 37 秒 (日本時間)
composite number 合成数	1070524053235083066295097330871120885678120356431655053170780964944296174265561572765141784097461932558222121319252645903718751730268620395523<142>
prime factors 素因数	42133311580507844127927258606734218588122867061<47> 25408020710395338741495355403993182765034983686082652466395770936542563685378708021227445537943<95>
factorization results 素因数分解の結果	Number: 11911_89 N=1070524053235083066295097330871120885678120356431655053170780964944296174265561572765141784097461932558222121319252645903718751730268620395523 ( 142 digits) SNFS difficulty: 180 digits. Divisors found: r1=42133311580507844127927258606734218588122867061 r2=25408020710395338741495355403993182765034983686082652466395770936542563685378708021227445537943 Version: Total time: 91.15 hours. Scaled time: 216.76 units (timescale=2.378). Factorization parameters were as follows: n: 1070524053235083066295097330871120885678120356431655053170780964944296174265561572765141784097461932558222121319252645903718751730268620395523 m: 1000000000000000000000000000000 deg: 6 c6: 1 c3: 72 c0: -10 skew: 1.47 type: snfs lss: 1 rlim: 5400000 alim: 5400000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 5400000/5400000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [2700000, 5400001) Primes: rational ideals reading, algebraic ideals reading, Relations: 17601556 Max relations in full relation-set: Initial matrix: Pruned matrix : 1132764 x 1133012 Total sieving time: 85.79 hours. Total relation processing time: 2.43 hours. Matrix solve time: 2.77 hours. Time per square root: 0.17 hours. Prototype def-par.txt line would be: snfs,180,6,0,0,0,0,0,0,0,0,5400000,5400000,28,28,53,53,2.5,2.5,100000 total time: 91.15 hours. --------- CPU info (if available) ----------
software ソフトウェア	GGNFS / Msieve v1.39
execution environment 実行環境	Core 2 Quad Q6700

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 31, 2011 12:00:00 UTC 2011 年 1 月 31 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2318	280	Serge Batalov	February 1, 2011 02:05:55 UTC 2011 年 2 月 1 日 (火) 11 時 5 分 55 秒 (日本時間)
40	3e6	2318	2038	Jo Yeong Uk	August 28, 2011 02:50:47 UTC 2011 年 8 月 28 日 (日) 11 時 50 分 47 秒 (日本時間)

10¹⁸¹+72×10⁹⁰-19

c115

name 名前	Andreas Tete
date 日付	February 1, 2011 10:49:19 UTC 2011 年 2 月 1 日 (火) 19 時 49 分 19 秒 (日本時間)
composite number 合成数	9313166589535359663375807978244798781927751382127370725563296297825947345494662205888924991629788240658512738851719<115>
prime factors 素因数	101939487019901414392308245139937026708353906702582971139<57> 91359755299898373182637764475834914099120646754448427570221<59>
factorization results 素因数分解の結果	Number: c115 N = 9313166589535359663375807978244798781927751382127370725563296297825947345494662205888924991629788240658512738851719 (115 digits) Divisors found: r1=101939487019901414392308245139937026708353906702582971139 (pp57) r2=91359755299898373182637764475834914099120646754448427570221 (pp59) Version: Msieve v. 1.48 Total time: 15.54 hours. Factorization parameters were as follows: n: 9313166589535359663375807978244798781927751382127370725563296297825947345494662205888924991629788240658512738851719 Y0: -14295303544652450780530 Y1: 1365261271061 c0: 692614294738332339220302789 c1: -233537865588697470494539 c2: -11226539080606088957 c3: 258972051364091 c4: 2206040024 c5: 15600 skew: 48062.62 type: gnfs Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 27/27 Sieved algebraic special-q in [0, 0) Total raw relations: 8240532 Relations: 703544 relations Pruned matrix : 427437 x 427662 Polynomial selection time: 0.00 hours. Total sieving time: 14.89 hours. Total relation processing time: 0.12 hours. Matrix solve time: 0.44 hours. time per square root: 0.09 hours. Prototype def-par.txt line would be: gnfs,114,5,61,2000,0.00016,0.25,250,15,50000,2800,3500000,3500000,27,27,50,50,2.6,2.6,100000 total time: 15.54 hours. x86 Family 6 Model 23 Stepping 6, GenuineIntel Windows-Vista-6.0.6002-SP2 processors: 2, speed: 2.09GHz
software ソフトウェア	factmsieve76.py via GGNFS
execution environment 実行環境	Core 2 Duo@2.1GHz on WinVista32bit

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
30	25e4	0		-	-
35	1e6	118 / 904		Makoto Kamada	January 31, 2011 12:00:00 UTC 2011 年 1 月 31 日 (月) 21 時 0 分 0 秒 (日本時間)

10¹⁸³+72×10⁹¹-19

c142

name 名前	Jo Yeong Uk
date 日付	September 30, 2011 01:43:49 UTC 2011 年 9 月 30 日 (金) 10 時 43 分 49 秒 (日本時間)
composite number 合成数	4118438376276285484925278211513872667988456374688037473511781297371807609268357804348629452722220114737264000665185470168691674595746877482081<142>
prime factors 素因数	2262374623753739436279950887566383078578913166037600572216424721<64> 1820405132304286082288289620258997996405685505054974368198579762935843972462161<79>
factorization results 素因数分解の結果	Number: 11911_91 N=4118438376276285484925278211513872667988456374688037473511781297371807609268357804348629452722220114737264000665185470168691674595746877482081 ( 142 digits) SNFS difficulty: 183 digits. Divisors found: r1=2262374623753739436279950887566383078578913166037600572216424721 r2=1820405132304286082288289620258997996405685505054974368198579762935843972462161 Version: Total time: 131.00 hours. Scaled time: 313.09 units (timescale=2.390). Factorization parameters were as follows: n: 4118438376276285484925278211513872667988456374688037473511781297371807609268357804348629452722220114737264000665185470168691674595746877482081 m: 1000000000000000000000000000000 deg: 6 c6: 1000 c3: 720 c0: -1 skew: 0.32 type: snfs lss: 1 rlim: 6600000 alim: 6600000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 6600000/6600000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [3300000, 7100001) Primes: rational ideals reading, algebraic ideals reading, Relations: 18431300 Max relations in full relation-set: Initial matrix: Pruned matrix : 1414026 x 1414274 Total sieving time: 122.18 hours. Total relation processing time: 4.19 hours. Matrix solve time: 4.36 hours. Time per square root: 0.27 hours. Prototype def-par.txt line would be: snfs,183,6,0,0,0,0,0,0,0,0,6600000,6600000,28,28,53,53,2.5,2.5,100000 total time: 131.00 hours. --------- CPU info (if available) ----------
software ソフトウェア	GGNFS / Msieve v1.39
execution environment 実行環境	Core 2 Quad Q6700

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 31, 2011 12:00:00 UTC 2011 年 1 月 31 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2318	280	Serge Batalov	February 1, 2011 02:06:04 UTC 2011 年 2 月 1 日 (火) 11 時 6 分 4 秒 (日本時間)
40	3e6	2318	2038	Jo Yeong Uk	September 1, 2011 00:16:36 UTC 2011 年 9 月 1 日 (木) 9 時 16 分 36 秒 (日本時間)

10¹⁸⁵+72×10⁹²-19

c128

name 名前	Sinkiti Sibata
date 日付	April 9, 2011 13:44:32 UTC 2011 年 4 月 9 日 (土) 22 時 44 分 32 秒 (日本時間)
composite number 合成数	36667372900079222361278080827290017317120479262924727529762646839540520765587265433800747837382716234504985981704255804293579633<128>
prime factors 素因数	134521760386300183819201908011421369149837<42> 272575773575837477329102036471901027351510122502068683903526951552890634071809354440309<87>
factorization results 素因数分解の結果	Number: 11911_92 N=36667372900079222361278080827290017317120479262924727529762646839540520765587265433800747837382716234504985981704255804293579633 ( 128 digits) Divisors found: r1=134521760386300183819201908011421369149837 (pp42) r2=272575773575837477329102036471901027351510122502068683903526951552890634071809354440309 (pp87) Version: Msieve v. 1.42 Total time: 6.56 hours. Scaled time: 5.58 units (timescale=0.851). Factorization parameters were as follows: name: 11911_92 # Murphy_E = 1.143e-10, selected by Markus Tervooren n: 36667372900079222361278080827290017317120479262924727529762646839540520765587265433800747837382716234504985981704255804293579633 Y0: -12769494119488620418274032 Y1: 30654053369009 c0: -233763137356046401352250676814895 c1: 6224276858443783234702828525 c2: 10884851717785171889759 c3: 1448798151236991 c4: -1286850840 c5: 108 skew: 2673799.84 type: gnfs # selected mechanically rlim: 8400000 alim: 8400000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 8400000/8400000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved algebraic special-q in [4200000, 7800001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1239163 x 1239396 Total sieving time: 0.00 hours. Total relation processing time: 0.16 hours. Matrix solve time: 6.12 hours. Time per square root: 0.28 hours. Prototype def-par.txt line would be: gnfs,127,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,8400000,8400000,28,28,53,53,2.5,2.5,100000 total time: 6.56 hours. --------- CPU info (if available) ---------- CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02 CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02 Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 5827.08 BogoMIPS (lpj=2913541) Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268) Total of 2 processors activated (11653.61 BogoMIPS). Total time: 60 hours.

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 31, 2011 12:00:00 UTC 2011 年 1 月 31 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	780 / 2318	280	Serge Batalov	February 1, 2011 02:06:13 UTC 2011 年 2 月 1 日 (火) 11 時 6 分 13 秒 (日本時間)
40	3e6	780 / 2318	500	Erik Branger	March 14, 2011 14:55:59 UTC 2011 年 3 月 14 日 (月) 23 時 55 分 59 秒 (日本時間)

10¹⁸⁹+72×10⁹⁴-19

c130

name 名前	Dmitry Domanov
date 日付	March 10, 2011 13:07:06 UTC 2011 年 3 月 10 日 (木) 22 時 7 分 6 秒 (日本時間)
composite number 合成数	3613821813798101857774354752680828750594206953086763719945158559994175099180165799580002921265676899484053326117286648241661815529<130>
prime factors 素因数	1260218037531826078804128076539808600434379<43> 2867616322073819606575841802137858904336899957731714494833970890750797348525551673821851<88>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=921795061 Step 1 took 54519ms Step 2 took 30243ms ********** Factor found in step 2: 1260218037531826078804128076539808600434379 Found probable prime factor of 43 digits: 1260218037531826078804128076539808600434379 Probable prime cofactor 2867616322073819606575841802137858904336899957731714494833970890750797348525551673821851 has 88 digits

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	118	Makoto Kamada	January 31, 2011 12:00:00 UTC 2011 年 1 月 31 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	280	Serge Batalov	February 1, 2011 02:06:23 UTC 2011 年 2 月 1 日 (火) 11 時 6 分 23 秒 (日本時間)
45	11e6	600 / 4413	Dmitry Domanov	March 10, 2011 08:55:51 UTC 2011 年 3 月 10 日 (木) 17 時 55 分 51 秒 (日本時間)

10¹⁹¹+72×10⁹⁵-19

c164

name 名前	Serge Batalov
date 日付	February 23, 2011 10:03:05 UTC 2011 年 2 月 23 日 (水) 19 時 3 分 5 秒 (日本時間)
composite number 合成数	41895573342993706245178397144994484525513414425868556452752830676922910322302471542634777829019342633592166704746804555745843256505512954438572001369081629106711577<164>
prime factors 素因数	9028467806006016199979308313769661589<37> 254438890202219204041816938422823104438321<42> 18237722014073019975796692979428160215297491274330005155157450167545441852598659705733<86>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1741061323 Step 1 took 11753ms Step 2 took 4964ms ******** Factor found in step 2: 254438890202219204041816938422823104438321 Found probable prime factor of 42 digits: 254438890202219204041816938422823104438321 Composite cofactor 164658686058945461567479038647340418438534052550176637859488731677066567700465545762745154988370300277327648866813733189737 has 123 digits Input number is 41895573342993706245178397144994484525513414425868556452752830676922910322302471542634777829019342633592166704746804555745843256505512954438572001369081629106711577 (164 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2325368849 Step 1 took 11484ms Step 2 took 4857ms ******** Factor found in step 2: 9028467806006016199979308313769661589 Found probable prime factor of 37 digits: 9028467806006016199979308313769661589 Composite cofactor 4640385749077321210811306023173257283728919984223784752549665626503935291952891923064831685843577288385696486844650776108594293 has 127 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 31, 2011 12:00:00 UTC 2011 年 1 月 31 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	280 / 2318		Serge Batalov	February 1, 2011 02:06:32 UTC 2011 年 2 月 1 日 (火) 11 時 6 分 32 秒 (日本時間)

10¹⁹³+72×10⁹⁶-19

c154

name 名前	Serge Batalov
date 日付	January 31, 2011 23:05:28 UTC 2011 年 2 月 1 日 (火) 8 時 5 分 28 秒 (日本時間)
composite number 合成数	2720594926032204814105981807441287126295922297267737846487801121568201589330081608373437222683246079811271417373636767218512862971398619655297644416380773<154>
prime factors 素因数	17915029093114138005357882217351709<35>
composite cofactor 合成数の残り	151861038678296032955242987960066451969734964862609142281951528231889280995531338801756828703426777914578704462782085097<120>
factorization results 素因数分解の結果	Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=2629066370 Step 1 took 4469ms Step 2 took 3577ms ********** Factor found in step 2: 17915029093114138005357882217351709 Found probable prime factor of 35 digits: 17915029093114138005357882217351709 Composite cofactor 151861038678296032955242987960066451969734964862609142281951528231889280995531338801756828703426777914578704462782085097 has 120 digits

c120

name 名前	Erik Branger
date 日付	February 7, 2011 17:48:42 UTC 2011 年 2 月 8 日 (火) 2 時 48 分 42 秒 (日本時間)
composite number 合成数	151861038678296032955242987960066451969734964862609142281951528231889280995531338801756828703426777914578704462782085097<120>
prime factors 素因数	377690805712196859245214393989935000519499970061603<51> 402077668774429337991050118469216337422935046911132259187967355968899<69>
factorization results 素因数分解の結果	Number: 11911_96 N = 151861038678296032955242987960066451969734964862609142281951528231889280995531338801756828703426777914578704462782085097 (120 digits) Divisors found: r1=377690805712196859245214393989935000519499970061603 (pp51) r2=402077668774429337991050118469216337422935046911132259187967355968899 (pp69) Version: Msieve v. 1.48 Total time: 30.17 hours. Factorization parameters were as follows: # Murphy_E = 3.219e-10, selected by Erik Branger n: 151861038678296032955242987960066451969734964862609142281951528231889280995531338801756828703426777914578704462782085097 Y0: -94970699813481231777492 Y1: 6468207690001 c0: 5929632670782412116099743717 c1: 1521677751904678517872997 c2: -17010421009355397527 c3: -477091521511685 c4: 2014527882 c5: 19656 skew: 87903.04 type: gnfs # selected mechanically rlim: 5000000 alim: 5000000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.5 alambda: 2.5 Factor base limits: 5000000/5000000 Large primes per side: 3 Large prime bits: 27/27 Sieved algebraic special-q in [2500000, 4400000) Relations: 9000195 Relations in full relation-set: 1324194 relations Pruned matrix : 751128 x 751371 Polynomial selection time: 0.00 hours. Total sieving time: 29.61 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.42 hours. time per square root: 0.09 hours. Prototype def-par.txt line would be: gnfs,119,5,63,2000,2.6e-05,0.28,250,20,50000,3600,5000000,5000000,27,27,51,51,2.5,2.5,100000 total time: 30.17 hours. --------- CPU info (if available) ----------
software ソフトウェア	GGNFS, Msieve

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 31, 2011 12:00:00 UTC 2011 年 1 月 31 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	280 / 2318		Serge Batalov	February 2, 2011 07:25:51 UTC 2011 年 2 月 2 日 (水) 16 時 25 分 51 秒 (日本時間)

10¹⁹⁵+72×10⁹⁷-19

c183

name 名前	Jo Yeong Uk
date 日付	December 25, 2011 00:14:59 UTC 2011 年 12 月 25 日 (日) 9 時 14 分 59 秒 (日本時間)
composite number 合成数	957534396822367671761637358217390396013669801767228811356432008917778486129800350175323608860563086904990664992325042361630927216639661815240354281253470438384744502938296772459350329<183>
prime factors 素因数	43280055100666861591215287371791524458905637786390902752406360013266116966407676073696929<89> 22124149209034022842910301383486464644171771465795497595389317158772281748841177367554762824601<95>
factorization results 素因数分解の結果	Number: 11911_97 N=957534396822367671761637358217390396013669801767228811356432008917778486129800350175323608860563086904990664992325042361630927216639661815240354281253470438384744502938296772459350329 ( 183 digits) SNFS difficulty: 195 digits. Divisors found: r1=43280055100666861591215287371791524458905637786390902752406360013266116966407676073696929 r2=22124149209034022842910301383486464644171771465795497595389317158772281748841177367554762824601 Version: Total time: 293.53 hours. Scaled time: 701.82 units (timescale=2.391). Factorization parameters were as follows: n: 957534396822367671761637358217390396013669801767228811356432008917778486129800350175323608860563086904990664992325042361630927216639661815240354281253470438384744502938296772459350329 m: 100000000000000000000000000000000 deg: 6 c6: 1000 c3: 720 c0: -1 skew: 0.32 type: snfs lss: 1 rlim: 13000000 alim: 13000000 lpbr: 29 lpba: 29 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 13000000/13000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 55/55 Sieved rational special-q in [6500000, 13600001) Primes: rational ideals reading, algebraic ideals reading, Relations: 33737061 Max relations in full relation-set: Initial matrix: Pruned matrix : 2500850 x 2501098 Total sieving time: 262.24 hours. Total relation processing time: 14.59 hours. Matrix solve time: 14.82 hours. Time per square root: 1.87 hours. Prototype def-par.txt line would be: snfs,195,6,0,0,0,0,0,0,0,0,13000000,13000000,29,29,55,55,2.5,2.5,100000 total time: 293.53 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Memory: 8044964k/9175040k available (4939k kernel code, 788820k absent, 341256k reserved, 3931k data, 1220k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.35 BogoMIPS (lpj=2672679) Total of 4 processors activated (21381.44 BogoMIPS).
software ソフトウェア	GGNFS / Msieve v1.39
execution environment 実行環境	Core 2 Quad Q6700

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 31, 2011 12:00:00 UTC 2011 年 1 月 31 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2318	280	Serge Batalov	February 1, 2011 02:06:46 UTC 2011 年 2 月 1 日 (火) 11 時 6 分 46 秒 (日本時間)
40	3e6	2318	2038	Jo Yeong Uk	September 1, 2011 00:16:46 UTC 2011 年 9 月 1 日 (木) 9 時 16 分 46 秒 (日本時間)
45	11e6	3963		Jo Yeong Uk	December 12, 2011 13:39:43 UTC 2011 年 12 月 12 日 (月) 22 時 39 分 43 秒 (日本時間)

10¹⁹⁷+72×10⁹⁸-19

c154

name 名前	Jo Yeong Uk
date 日付	January 3, 2012 12:48:39 UTC 2012 年 1 月 3 日 (火) 21 時 48 分 39 秒 (日本時間)
composite number 合成数	9932065996747625995064131586818482370554750728286192466343891187013186814859017700612938209050045788022985428030913365381675209220141310216152524885167121<154>
prime factors 素因数	17676270812774202984038793116217854211220921276928512799912665251814519549<74> 561886955792166748638596421398817005599934235984938723696066840970974616961489829<81>
factorization results 素因数分解の結果	Number: 11911_98 N=9932065996747625995064131586818482370554750728286192466343891187013186814859017700612938209050045788022985428030913365381675209220141310216152524885167121 ( 154 digits) SNFS difficulty: 198 digits. Divisors found: r1=17676270812774202984038793116217854211220921276928512799912665251814519549 r2=561886955792166748638596421398817005599934235984938723696066840970974616961489829 Version: Total time: 222.88 hours. Scaled time: 820.66 units (timescale=3.682). Factorization parameters were as follows: n: 9932065996747625995064131586818482370554750728286192466343891187013186814859017700612938209050045788022985428030913365381675209220141310216152524885167121 m: 1000000000000000000000000000000000 deg: 6 c6: 1 c3: 72 c0: -10 skew: 1.47 type: snfs lss: 1 rlim: 14000000 alim: 14000000 lpbr: 29 lpba: 29 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 14000000/14000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 55/55 Sieved rational special-q in [7000000, 14100001) Primes: rational ideals reading, algebraic ideals reading, Relations: 33999346 Max relations in full relation-set: Initial matrix: Pruned matrix : 2484260 x 2484506 Total sieving time: 204.91 hours. Total relation processing time: 4.55 hours. Matrix solve time: 12.91 hours. Time per square root: 0.51 hours. Prototype def-par.txt line would be: snfs,198,6,0,0,0,0,0,0,0,0,14000000,14000000,29,29,55,55,2.5,2.5,100000 total time: 222.88 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz stepping 02 Memory: 24581144k/26214400k available (5084k kernel code, 1057692k absent, 575564k reserved, 7228k data, 1244k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6666.69 BogoMIPS (lpj=3333348) Total of 12 processors activated (79997.58 BogoMIPS).
software ソフトウェア	GGNFS / Msieve v1.39
execution environment 実行環境	Core i7 980

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 31, 2011 12:00:00 UTC 2011 年 1 月 31 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2318	280	Serge Batalov	February 1, 2011 02:07:38 UTC 2011 年 2 月 1 日 (火) 11 時 7 分 38 秒 (日本時間)
40	3e6	2318	2038	Jo Yeong Uk	September 1, 2011 00:16:55 UTC 2011 年 9 月 1 日 (木) 9 時 16 分 55 秒 (日本時間)
45	11e6	3963		Jo Yeong Uk	December 12, 2011 13:40:57 UTC 2011 年 12 月 12 日 (月) 22 時 40 分 57 秒 (日本時間)

10¹⁹⁹+72×10⁹⁹-19

c177

name 名前	Jo Yeong Uk
date 日付	January 30, 2012 00:00:09 UTC 2012 年 1 月 30 日 (月) 9 時 0 分 9 秒 (日本時間)
composite number 合成数	106065309818687889202413856561028289960073714558405430823463228157345801683731584764305145734744549898999009037385754840743770920300426425488783423668909287137193740100541547797<177>
prime factors 素因数	5597010820723164541294157655285114216557855318352885092864370681822412382962780877843<85> 18950349251778589303921929757979790672897371454207494243960387901033626365831250034605127479<92>
factorization results 素因数分解の結果	Number: 11911_99 N=106065309818687889202413856561028289960073714558405430823463228157345801683731584764305145734744549898999009037385754840743770920300426425488783423668909287137193740100541547797 ( 177 digits) SNFS difficulty: 199 digits. Divisors found: r1=5597010820723164541294157655285114216557855318352885092864370681822412382962780877843 r2=18950349251778589303921929757979790672897371454207494243960387901033626365831250034605127479 Version: Total time: 238.50 hours. Scaled time: 877.46 units (timescale=3.679). Factorization parameters were as follows: n: 106065309818687889202413856561028289960073714558405430823463228157345801683731584764305145734744549898999009037385754840743770920300426425488783423668909287137193740100541547797 m: 1000000000000000000000000000000000 deg: 6 c6: 10 c3: 72 c0: -1 skew: 0.68 type: snfs lss: 1 rlim: 16000000 alim: 16000000 lpbr: 29 lpba: 29 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 16000000/16000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 55/55 Sieved rational special-q in [8000000, 15400001) Primes: rational ideals reading, algebraic ideals reading, Relations: 33723984 Max relations in full relation-set: Initial matrix: Pruned matrix : 2749876 x 2750124 Total sieving time: 215.93 hours. Total relation processing time: 4.53 hours. Matrix solve time: 17.74 hours. Time per square root: 0.30 hours. Prototype def-par.txt line would be: snfs,199,6,0,0,0,0,0,0,0,0,16000000,16000000,29,29,55,55,2.5,2.5,100000 total time: 238.50 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz stepping 02 Memory: 24581148k/26214400k available (5084k kernel code, 1057688k absent, 575564k reserved, 7228k data, 1244k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6665.15 BogoMIPS (lpj=3332576) Total of 12 processors activated (79996.07 BogoMIPS).
software ソフトウェア	GGNFS / Msieve v1.39
execution environment 実行環境	Core i7 980

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 31, 2011 12:00:00 UTC 2011 年 1 月 31 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	2318	280	Serge Batalov	February 1, 2011 02:07:24 UTC 2011 年 2 月 1 日 (火) 11 時 7 分 24 秒 (日本時間)
40	3e6	2318	2038	Jo Yeong Uk	September 1, 2011 00:17:05 UTC 2011 年 9 月 1 日 (木) 9 時 17 分 5 秒 (日本時間)
45	11e6	3963		Jo Yeong Uk	December 18, 2011 22:37:45 UTC 2011 年 12 月 19 日 (月) 7 時 37 分 45 秒 (日本時間)

10²⁰¹+72×10¹⁰⁰-19

c158

name 名前	Jo Yeong Uk
date 日付	February 12, 2012 14:05:01 UTC 2012 年 2 月 12 日 (日) 23 時 5 分 1 秒 (日本時間)
composite number 合成数	34200822838268699658664367097631128833075075884997795012798544885323833174327424670670835854750286671356220935328267939924193468346647205841015329596118772687<158>
prime factors 素因数	504791875174900179947826122935483514924839440270375649559216637851706844254139<78> 67752324314686732911741462374736795569848184071944615354679113761959210704199933<80>
factorization results 素因数分解の結果	Number: 11911_100 N=34200822838268699658664367097631128833075075884997795012798544885323833174327424670670835854750286671356220935328267939924193468346647205841015329596118772687 ( 158 digits) SNFS difficulty: 201 digits. Divisors found: r1=504791875174900179947826122935483514924839440270375649559216637851706844254139 r2=67752324314686732911741462374736795569848184071944615354679113761959210704199933 Version: Total time: 342.62 hours. Scaled time: 1252.60 units (timescale=3.656). Factorization parameters were as follows: n: 34200822838268699658664367097631128833075075884997795012798544885323833174327424670670835854750286671356220935328267939924193468346647205841015329596118772687 m: 1000000000000000000000000000000000 deg: 6 c6: 1000 c3: 720 c0: -1 skew: 0.32 type: snfs lss: 1 rlim: 20000000 alim: 20000000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 20000000/20000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 56/56 Sieved rational special-q in [10000000, 19800001) Primes: rational ideals reading, algebraic ideals reading, Relations: 38539448 Max relations in full relation-set: Initial matrix: Pruned matrix : 3319924 x 3320172 Total sieving time: 305.99 hours. Total relation processing time: 8.41 hours. Matrix solve time: 27.73 hours. Time per square root: 0.49 hours. Prototype def-par.txt line would be: snfs,201,6,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000 total time: 342.62 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7 CPU 980 @ 3.33GHz stepping 02 Memory: 24581148k/26214400k available (5084k kernel code, 1057688k absent, 575564k reserved, 7228k data, 1244k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6665.15 BogoMIPS (lpj=3332576) Total of 12 processors activated (79996.07 BogoMIPS).
software ソフトウェア	GGNFS / Msieve v1.39
execution environment 実行環境	Core i7 980

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	118		Makoto Kamada	January 31, 2011 12:00:00 UTC 2011 年 1 月 31 日 (月) 21 時 0 分 0 秒 (日本時間)
40	3e6	280		Serge Batalov	February 1, 2011 02:07:15 UTC 2011 年 2 月 1 日 (火) 11 時 7 分 15 秒 (日本時間)
45	11e6	4413	600	Dmitry Domanov	February 25, 2011 20:48:45 UTC 2011 年 2 月 26 日 (土) 5 時 48 分 45 秒 (日本時間)
45	11e6	4413	3813	Jo Yeong Uk	December 12, 2011 13:41:24 UTC 2011 年 12 月 12 日 (月) 22 時 41 分 24 秒 (日本時間)

10²⁰³+72×10¹⁰¹-19

c157

name 名前	Ray Chandler
date 日付	February 5, 2022 18:58:36 UTC 2022 年 2 月 6 日 (日) 3 時 58 分 36 秒 (日本時間)
composite number 合成数	5848570803316102771117675824849187797160711728780907348300167409397315298881067219958382025961837827716471940239496799736015651866029613700738709216140356319<157>
prime factors 素因数	73391458449090910239583963735174695542759969445636225355379273549<65> 79690074661386541801297747046043781535425601774041103997338942133364779017286524412147008731<92>
factorization results 素因数分解の結果	02/02/22 10:54:23, 02/02/22 10:54:23, ************************** 02/02/22 10:54:23, Starting factorization of 11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111911111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 02/02/22 10:54:23, using pretesting plan: normal 02/02/22 10:54:23, using specified qs/gnfs crossover of 100 digits 02/02/22 10:54:23, using specified qs/snfs crossover of 75 digits 02/02/22 10:54:23, ************************** 02/02/22 10:54:23, div: found prime factor = 7 02/02/22 10:54:23, div: found prime factor = 7 02/02/22 10:54:23, div: found prime factor = 7 02/02/22 10:54:23, div: found prime factor = 661 02/02/22 10:54:23, rho: x^2 + 3, starting 1000 iterations on C197 02/02/22 10:54:23, prp7 = 4463831 02/02/22 10:54:23, rho: x^2 + 3, starting 1000 iterations on C191 02/02/22 10:54:23, prp11 = 13191914803 02/02/22 10:54:23, rho: x^2 + 3, starting 1000 iterations on C180 02/02/22 10:54:23, rho: x^2 + 2, starting 1000 iterations on C180 02/02/22 10:54:23, rho: x^2 + 1, starting 1000 iterations on C180 02/02/22 10:54:23, pm1: starting B1 = 150K, B2 = gmp-ecm default on C180 02/02/22 10:54:23, current ECM pretesting depth: 0.00 02/02/22 10:54:23, scheduled 30 curves at B1=2000 toward target pretesting depth of 55.38 02/02/22 10:54:23, ecm: commencing 48 curves using AVX-ECM method on 832235676419912474928576129825519816073687943260498376187380326139259287815919240026836008342996982542177554184948549086558850011101882091786144173782105222009066605916176147321049, B1=2k, B2=200k 02/02/22 10:54:24, ecm: finished 384 curves using AVX-ECM method on C180 input, B1=2k, B2=200k 02/02/22 10:54:24, current ECM pretesting depth: 17.27 02/02/22 10:54:24, scheduled 74 curves at B1=11000 toward target pretesting depth of 55.38 02/02/22 10:54:24, ecm: commencing 96 curves using AVX-ECM method on 832235676419912474928576129825519816073687943260498376187380326139259287815919240026836008342996982542177554184948549086558850011101882091786144173782105222009066605916176147321049, B1=11k, B2=1100k 02/02/22 10:54:24, ecm: finished 384 curves using AVX-ECM method on C180 input, B1=11k, B2=1100k 02/02/22 10:54:24, current ECM pretesting depth: 21.28 02/02/22 10:54:24, scheduled 214 curves at B1=50000 toward target pretesting depth of 55.38 02/02/22 10:54:25, ecm: commencing 240 curves using AVX-ECM method on 832235676419912474928576129825519816073687943260498376187380326139259287815919240026836008342996982542177554184948549086558850011101882091786144173782105222009066605916176147321049, B1=50k, B2=5M 02/02/22 10:54:26, ecm: finished 0 curves using AVX-ECM method on C180 input, B1=50k, B2=5M 02/02/22 10:54:26, prp24 = 142297273027461699449671 (curve=168 stg=2 B1=50000 B2=5000000 sigma=1198405210 thread=21 vecpos=0) 02/02/22 10:54:26, current ECM pretesting depth: 21.28 02/02/22 10:54:26, scheduled 214 curves at B1=50000 toward target pretesting depth of 48.31 02/02/22 10:54:26, ecm: commencing 240 curves using AVX-ECM method on 5848570803316102771117675824849187797160711728780907348300167409397315298881067219958382025961837827716471940239496799736015651866029613700738709216140356319, B1=50k, B2=5M 02/02/22 10:54:27, ecm: finished 384 curves using AVX-ECM method on C157 input, B1=50k, B2=5M 02/02/22 10:54:27, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C157 02/02/22 10:54:28, current ECM pretesting depth: 25.62 02/02/22 10:54:28, scheduled 430 curves at B1=250000 toward target pretesting depth of 48.31 02/02/22 10:54:29, ecm: commencing 432 curves using AVX-ECM method on 5848570803316102771117675824849187797160711728780907348300167409397315298881067219958382025961837827716471940239496799736015651866029613700738709216140356319, B1=250k, B2=25M 02/02/22 10:54:36, ecm: finished 768 curves using AVX-ECM method on C157 input, B1=250k, B2=25M 02/02/22 10:54:36, pm1: starting B1 = 15M, B2 = gmp-ecm default on C157 02/02/22 10:54:41, current ECM pretesting depth: 30.81 02/02/22 10:54:41, scheduled 904 curves at B1=1000000 toward target pretesting depth of 48.31 02/02/22 10:54:42, ecm: commencing 912 curves using AVX-ECM method on 5848570803316102771117675824849187797160711728780907348300167409397315298881067219958382025961837827716471940239496799736015651866029613700738709216140356319, B1=1M, B2=100M 02/02/22 10:55:23, ecm: finished 1152 curves using AVX-ECM method on C157 input, B1=1M, B2=100M 02/02/22 10:55:23, current ECM pretesting depth: 35.72 02/02/22 10:55:23, scheduled 2350 curves at B1=3000000 toward target pretesting depth of 48.31 02/02/22 10:55:25, ecm: commencing 2352 curves using AVX-ECM method on 5848570803316102771117675824849187797160711728780907348300167409397315298881067219958382025961837827716471940239496799736015651866029613700738709216140356319, B1=3M, B2=300M 02/02/22 11:00:00, ecm: finished 2688 curves using AVX-ECM method on C157 input, B1=3M, B2=300M 02/02/22 11:00:01, current ECM pretesting depth: 40.73 02/02/22 11:00:01, scheduled 4480 curves at B1=11000000 toward target pretesting depth of 48.31 02/02/22 11:00:03, ecm: commencing 4512 curves using AVX-ECM method on 5848570803316102771117675824849187797160711728780907348300167409397315298881067219958382025961837827716471940239496799736015651866029613700738709216140356319, B1=11M, B2=1100M 02/02/22 11:28:02, ecm: finished 4608 curves using AVX-ECM method on C157 input, B1=11M, B2=1100M 02/02/22 11:28:03, current ECM pretesting depth: 45.76 02/02/22 11:28:03, scheduled 3778 curves at B1=43000000 toward target pretesting depth of 48.31 02/02/22 11:28:05, ecm: commencing 3792 curves using AVX-ECM method on 5848570803316102771117675824849187797160711728780907348300167409397315298881067219958382025961837827716471940239496799736015651866029613700738709216140356319, B1=43M, B2=4300M 02/02/22 12:57:19, ecm: finished 3840 curves using AVX-ECM method on C157 input, B1=43M, B2=4300M 02/02/22 12:57:20, final ECM pretested depth: 48.35 02/02/22 12:57:20, scheduler: switching to sieve method 02/02/22 12:57:20, nfs: commencing nfs on c157: 5848570803316102771117675824849187797160711728780907348300167409397315298881067219958382025961837827716471940239496799736015651866029613700738709216140356319 02/02/22 12:57:20, nfs: commencing poly selection with 48 threads 02/02/22 12:57:20, nfs: setting deadline of 22500 seconds 02/02/22 12:57:20, nfs: expecting degree 5 poly E from 1.66e-12 to > 1.91e-12 02/02/22 12:57:20, nfs: searching for avg quality poly E > 1.72e-12 02/02/22 23:33:02, nfs: completed 49 ranges of size 250 in 38141.9168 seconds 02/02/22 23:33:02, nfs: best poly = # norm 4.230287e-15 alpha -8.169798 e 2.373e-12 rroots 5 02/02/22 23:33:02, nfs: commencing lattice sieving with 48 threads 02/02/22 23:41:11, nfs: commencing lattice sieving with 48 threads 02/02/22 23:48:37, nfs: commencing lattice sieving with 48 threads 02/02/22 23:56:09, nfs: commencing lattice sieving with 48 threads 02/03/22 00:03:51, nfs: commencing lattice sieving with 48 threads 02/03/22 00:11:30, nfs: commencing lattice sieving with 48 threads 02/03/22 00:19:02, nfs: commencing lattice sieving with 48 threads 02/03/22 00:26:27, nfs: commencing lattice sieving with 48 threads 02/03/22 00:33:51, nfs: commencing lattice sieving with 48 threads 02/03/22 00:41:18, nfs: commencing lattice sieving with 48 threads 02/03/22 00:49:03, nfs: commencing lattice sieving with 48 threads 02/03/22 00:56:46, nfs: commencing lattice sieving with 48 threads 02/03/22 01:04:17, nfs: commencing lattice sieving with 48 threads 02/03/22 01:11:48, nfs: commencing lattice sieving with 48 threads 02/03/22 01:19:46, nfs: commencing lattice sieving with 48 threads 02/03/22 01:27:38, nfs: commencing lattice sieving with 48 threads 02/03/22 01:35:20, nfs: commencing lattice sieving with 48 threads 02/03/22 01:42:51, nfs: commencing lattice sieving with 48 threads 02/03/22 01:50:49, nfs: commencing lattice sieving with 48 threads 02/03/22 01:59:12, nfs: commencing lattice sieving with 48 threads 02/03/22 02:06:46, nfs: commencing lattice sieving with 48 threads 02/03/22 02:14:06, nfs: commencing lattice sieving with 48 threads 02/03/22 02:21:31, nfs: commencing lattice sieving with 48 threads 02/03/22 02:29:11, nfs: commencing lattice sieving with 48 threads 02/03/22 02:36:39, nfs: commencing lattice sieving with 48 threads 02/03/22 02:44:19, nfs: commencing lattice sieving with 48 threads 02/03/22 02:51:47, nfs: commencing lattice sieving with 48 threads 02/03/22 02:59:40, nfs: commencing lattice sieving with 48 threads 02/03/22 03:07:32, nfs: commencing lattice sieving with 48 threads 02/03/22 03:15:32, nfs: commencing lattice sieving with 48 threads 02/03/22 03:23:03, nfs: commencing lattice sieving with 48 threads 02/03/22 03:31:00, nfs: commencing lattice sieving with 48 threads 02/03/22 03:39:43, nfs: commencing lattice sieving with 48 threads 02/03/22 03:47:51, nfs: commencing lattice sieving with 48 threads 02/03/22 03:56:00, nfs: commencing lattice sieving with 48 threads 02/03/22 04:04:18, nfs: commencing lattice sieving with 48 threads 02/03/22 04:12:18, nfs: commencing lattice sieving with 48 threads 02/03/22 04:20:03, nfs: commencing lattice sieving with 48 threads 02/03/22 04:27:51, nfs: commencing lattice sieving with 48 threads 02/03/22 04:35:38, nfs: commencing lattice sieving with 48 threads 02/03/22 04:44:19, nfs: commencing lattice sieving with 48 threads 02/03/22 04:52:11, nfs: commencing lattice sieving with 48 threads 02/03/22 04:59:59, nfs: commencing lattice sieving with 48 threads 02/03/22 05:07:56, nfs: commencing lattice sieving with 48 threads 02/03/22 05:15:28, nfs: commencing lattice sieving with 48 threads 02/03/22 05:23:11, nfs: commencing lattice sieving with 48 threads 02/03/22 05:31:05, nfs: commencing lattice sieving with 48 threads 02/03/22 05:38:58, nfs: commencing lattice sieving with 48 threads 02/03/22 05:47:00, nfs: commencing lattice sieving with 48 threads 02/03/22 05:54:49, nfs: commencing lattice sieving with 48 threads 02/03/22 06:02:23, nfs: commencing lattice sieving with 48 threads 02/03/22 06:10:12, nfs: commencing lattice sieving with 48 threads 02/03/22 06:18:24, nfs: commencing lattice sieving with 48 threads 02/03/22 06:27:08, nfs: commencing lattice sieving with 48 threads 02/03/22 06:35:12, nfs: commencing lattice sieving with 48 threads 02/03/22 06:43:10, nfs: commencing lattice sieving with 48 threads 02/03/22 06:50:55, nfs: commencing lattice sieving with 48 threads 02/03/22 06:58:39, nfs: commencing lattice sieving with 48 threads 02/03/22 07:06:25, nfs: commencing lattice sieving with 48 threads 02/03/22 07:14:47, nfs: commencing lattice sieving with 48 threads 02/03/22 07:22:47, nfs: commencing lattice sieving with 48 threads 02/03/22 07:31:03, nfs: commencing lattice sieving with 48 threads 02/03/22 07:38:45, nfs: commencing lattice sieving with 48 threads 02/03/22 07:46:44, nfs: commencing lattice sieving with 48 threads 02/03/22 07:54:50, nfs: commencing lattice sieving with 48 threads 02/03/22 08:02:52, nfs: commencing lattice sieving with 48 threads 02/03/22 08:11:05, nfs: commencing lattice sieving with 48 threads 02/03/22 08:19:29, nfs: commencing lattice sieving with 48 threads 02/03/22 08:27:36, nfs: commencing lattice sieving with 48 threads 02/03/22 08:35:45, nfs: commencing lattice sieving with 48 threads 02/03/22 08:44:10, nfs: commencing lattice sieving with 48 threads 02/03/22 08:52:09, nfs: commencing lattice sieving with 48 threads 02/03/22 09:00:13, nfs: commencing lattice sieving with 48 threads 02/03/22 09:08:27, nfs: commencing lattice sieving with 48 threads 02/03/22 09:16:23, nfs: commencing lattice sieving with 48 threads 02/03/22 09:25:01, nfs: commencing lattice sieving with 48 threads 02/03/22 09:33:31, nfs: commencing lattice sieving with 48 threads 02/03/22 09:41:47, nfs: commencing lattice sieving with 48 threads 02/03/22 09:50:27, nfs: commencing lattice sieving with 48 threads 02/03/22 09:58:35, nfs: commencing lattice sieving with 48 threads 02/03/22 10:07:11, nfs: commencing lattice sieving with 48 threads 02/03/22 10:15:31, nfs: commencing lattice sieving with 48 threads 02/03/22 10:23:23, nfs: commencing lattice sieving with 48 threads 02/03/22 10:31:27, nfs: commencing lattice sieving with 48 threads 02/03/22 10:39:32, nfs: commencing lattice sieving with 48 threads 02/03/22 10:47:54, nfs: commencing lattice sieving with 48 threads 02/03/22 10:56:08, nfs: commencing lattice sieving with 48 threads 02/03/22 11:04:35, nfs: commencing lattice sieving with 48 threads 02/03/22 11:12:59, nfs: commencing lattice sieving with 48 threads 02/03/22 11:21:13, nfs: commencing lattice sieving with 48 threads 02/03/22 11:29:33, nfs: commencing lattice sieving with 48 threads 02/03/22 11:37:35, nfs: commencing lattice sieving with 48 threads 02/03/22 11:46:03, nfs: commencing lattice sieving with 48 threads 02/03/22 11:54:13, nfs: commencing lattice sieving with 48 threads 02/03/22 12:02:56, nfs: commencing lattice sieving with 48 threads 02/03/22 12:11:22, nfs: commencing lattice sieving with 48 threads 02/03/22 12:19:41, nfs: commencing lattice sieving with 48 threads 02/03/22 12:28:19, nfs: commencing lattice sieving with 48 threads 02/03/22 12:37:11, nfs: commencing lattice sieving with 48 threads 02/03/22 12:45:30, nfs: commencing lattice sieving with 48 threads 02/03/22 12:54:03, nfs: commencing lattice sieving with 48 threads 02/03/22 13:02:20, nfs: commencing lattice sieving with 48 threads 02/03/22 13:10:26, nfs: commencing lattice sieving with 48 threads 02/03/22 13:19:03, nfs: commencing lattice sieving with 48 threads 02/03/22 13:27:25, nfs: commencing lattice sieving with 48 threads 02/03/22 13:36:00, nfs: commencing lattice sieving with 48 threads 02/03/22 13:44:48, nfs: commencing lattice sieving with 48 threads 02/03/22 13:53:09, nfs: commencing lattice sieving with 48 threads 02/03/22 14:01:23, nfs: commencing lattice sieving with 48 threads 02/03/22 14:09:57, nfs: commencing lattice sieving with 48 threads 02/03/22 14:18:20, nfs: commencing lattice sieving with 48 threads 02/03/22 14:27:06, nfs: commencing lattice sieving with 48 threads 02/03/22 14:35:29, nfs: commencing lattice sieving with 48 threads 02/03/22 14:44:12, nfs: commencing lattice sieving with 48 threads 02/03/22 14:52:37, nfs: commencing lattice sieving with 48 threads 02/03/22 15:00:50, nfs: commencing lattice sieving with 48 threads 02/03/22 15:09:05, nfs: commencing lattice sieving with 48 threads 02/03/22 15:17:36, nfs: commencing lattice sieving with 48 threads 02/03/22 15:25:59, nfs: commencing lattice sieving with 48 threads 02/03/22 15:34:37, nfs: commencing lattice sieving with 48 threads 02/03/22 15:43:17, nfs: commencing lattice sieving with 48 threads 02/03/22 15:52:35, nfs: commencing lattice sieving with 48 threads 02/03/22 16:01:24, nfs: commencing lattice sieving with 48 threads 02/03/22 16:09:59, nfs: commencing lattice sieving with 48 threads 02/03/22 16:18:17, nfs: commencing lattice sieving with 48 threads 02/03/22 16:26:54, nfs: commencing lattice sieving with 48 threads 02/03/22 16:35:44, nfs: commencing lattice sieving with 48 threads 02/03/22 16:44:09, nfs: commencing lattice sieving with 48 threads 02/03/22 16:52:55, nfs: commencing lattice sieving with 48 threads 02/03/22 17:01:34, nfs: commencing lattice sieving with 48 threads 02/03/22 17:10:38, nfs: commencing lattice sieving with 48 threads 02/03/22 17:20:10, nfs: commencing lattice sieving with 48 threads 02/03/22 17:29:19, nfs: commencing lattice sieving with 48 threads 02/03/22 17:37:30, nfs: commencing lattice sieving with 48 threads 02/03/22 17:45:59, nfs: commencing lattice sieving with 48 threads 02/03/22 17:54:22, nfs: commencing lattice sieving with 48 threads 02/03/22 18:03:10, nfs: commencing lattice sieving with 48 threads 02/03/22 18:11:45, nfs: commencing lattice sieving with 48 threads 02/03/22 18:20:35, nfs: commencing lattice sieving with 48 threads 02/03/22 18:28:40, nfs: commencing lattice sieving with 48 threads 02/03/22 18:37:16, nfs: commencing lattice sieving with 48 threads 02/03/22 18:45:49, nfs: commencing lattice sieving with 48 threads 02/03/22 18:54:21, nfs: commencing lattice sieving with 48 threads 02/03/22 19:02:47, nfs: commencing lattice sieving with 48 threads 02/03/22 19:11:10, nfs: commencing lattice sieving with 48 threads 02/03/22 19:19:36, nfs: commencing lattice sieving with 48 threads 02/03/22 19:28:30, nfs: commencing lattice sieving with 48 threads 02/03/22 19:37:08, nfs: commencing lattice sieving with 48 threads 02/03/22 19:45:46, nfs: commencing lattice sieving with 48 threads 02/03/22 19:54:45, nfs: commencing lattice sieving with 48 threads 02/03/22 20:03:07, nfs: commencing lattice sieving with 48 threads 02/03/22 20:11:31, nfs: commencing lattice sieving with 48 threads 02/03/22 20:20:05, nfs: commencing lattice sieving with 48 threads 02/03/22 20:28:58, nfs: commencing lattice sieving with 48 threads 02/03/22 20:37:32, nfs: commencing lattice sieving with 48 threads 02/03/22 20:46:21, nfs: commencing lattice sieving with 48 threads 02/03/22 20:54:52, nfs: commencing lattice sieving with 48 threads 02/03/22 21:03:37, nfs: commencing lattice sieving with 48 threads 02/03/22 21:11:57, nfs: commencing lattice sieving with 48 threads 02/03/22 21:20:12, nfs: commencing lattice sieving with 48 threads 02/03/22 21:28:59, nfs: commencing lattice sieving with 48 threads 02/03/22 21:37:31, nfs: commencing lattice sieving with 48 threads 02/03/22 21:45:47, nfs: commencing lattice sieving with 48 threads 02/03/22 21:54:16, nfs: commencing lattice sieving with 48 threads 02/03/22 22:02:30, nfs: commencing lattice sieving with 48 threads 02/03/22 22:11:07, nfs: commencing lattice sieving with 48 threads 02/03/22 22:19:41, nfs: commencing lattice sieving with 48 threads 02/03/22 22:28:16, nfs: commencing lattice sieving with 48 threads 02/03/22 22:36:47, nfs: commencing lattice sieving with 48 threads 02/03/22 22:45:19, nfs: commencing lattice sieving with 48 threads 02/03/22 22:54:07, nfs: commencing lattice sieving with 48 threads 02/03/22 23:02:53, nfs: commencing lattice sieving with 48 threads 02/03/22 23:11:49, nfs: commencing lattice sieving with 48 threads 02/03/22 23:20:22, nfs: commencing lattice sieving with 48 threads 02/03/22 23:29:03, nfs: commencing lattice sieving with 48 threads 02/03/22 23:37:16, nfs: commencing lattice sieving with 48 threads 02/03/22 23:45:58, nfs: commencing lattice sieving with 48 threads 02/03/22 23:54:11, nfs: commencing lattice sieving with 48 threads 02/04/22 00:02:44, nfs: commencing lattice sieving with 48 threads 02/04/22 00:11:26, nfs: commencing lattice sieving with 48 threads 02/04/22 00:20:07, nfs: commencing lattice sieving with 48 threads 02/04/22 00:29:07, nfs: commencing lattice sieving with 48 threads 02/04/22 00:38:13, nfs: commencing lattice sieving with 48 threads 02/04/22 00:47:20, nfs: commencing lattice sieving with 48 threads 02/04/22 00:55:33, nfs: commencing lattice sieving with 48 threads 02/04/22 01:04:05, nfs: commencing lattice sieving with 48 threads 02/04/22 01:12:12, nfs: commencing lattice sieving with 48 threads 02/04/22 01:20:42, nfs: commencing lattice sieving with 48 threads 02/04/22 01:28:54, nfs: commencing lattice sieving with 48 threads 02/04/22 01:37:30, nfs: commencing lattice sieving with 48 threads 02/04/22 01:45:48, nfs: commencing lattice sieving with 48 threads 02/04/22 01:53:54, nfs: commencing lattice sieving with 48 threads 02/04/22 02:02:12, nfs: commencing lattice sieving with 48 threads 02/04/22 02:10:33, nfs: commencing lattice sieving with 48 threads 02/04/22 02:18:45, nfs: commencing msieve filtering 02/04/22 02:27:47, nfs: raising min_rels by 5.00 percent to 47210772 02/04/22 02:27:47, nfs: commencing lattice sieving with 48 threads 02/04/22 02:35:58, nfs: commencing lattice sieving with 48 threads 02/04/22 02:44:47, nfs: commencing lattice sieving with 48 threads 02/04/22 02:53:24, nfs: commencing lattice sieving with 48 threads 02/04/22 03:01:46, nfs: commencing lattice sieving with 48 threads 02/04/22 03:10:21, nfs: commencing lattice sieving with 48 threads 02/04/22 03:19:10, nfs: commencing lattice sieving with 48 threads 02/04/22 03:28:04, nfs: commencing lattice sieving with 48 threads 02/04/22 03:36:24, nfs: commencing lattice sieving with 48 threads 02/04/22 03:44:32, nfs: commencing lattice sieving with 48 threads 02/04/22 03:52:51, nfs: commencing lattice sieving with 48 threads 02/04/22 04:01:14, nfs: commencing msieve filtering 02/04/22 04:10:33, nfs: raising min_rels by 5.00 percent to 49577500 02/04/22 04:10:33, nfs: commencing lattice sieving with 48 threads 02/04/22 04:18:57, nfs: commencing lattice sieving with 48 threads 02/04/22 04:27:06, nfs: commencing lattice sieving with 48 threads 02/04/22 04:35:53, nfs: commencing lattice sieving with 48 threads 02/04/22 04:44:10, nfs: commencing lattice sieving with 48 threads 02/04/22 04:52:24, nfs: commencing lattice sieving with 48 threads 02/04/22 05:00:51, nfs: commencing lattice sieving with 48 threads 02/04/22 05:08:54, nfs: commencing lattice sieving with 48 threads 02/04/22 05:16:53, nfs: commencing lattice sieving with 48 threads 02/04/22 05:25:36, nfs: commencing lattice sieving with 48 threads 02/04/22 05:34:04, nfs: commencing lattice sieving with 48 threads 02/04/22 05:42:48, nfs: commencing lattice sieving with 48 threads 02/04/22 05:51:03, nfs: commencing msieve filtering 02/04/22 06:08:32, nfs: raising min_rels by 5.00 percent to 52109574 02/04/22 06:08:32, nfs: commencing lattice sieving with 48 threads 02/04/22 06:17:00, nfs: commencing lattice sieving with 48 threads 02/04/22 06:25:45, nfs: commencing lattice sieving with 48 threads 02/04/22 06:34:49, nfs: commencing lattice sieving with 48 threads 02/04/22 06:43:26, nfs: commencing lattice sieving with 48 threads 02/04/22 06:51:34, nfs: commencing lattice sieving with 48 threads 02/04/22 06:59:54, nfs: commencing lattice sieving with 48 threads 02/04/22 07:08:38, nfs: commencing lattice sieving with 48 threads 02/04/22 07:17:24, nfs: commencing lattice sieving with 48 threads 02/04/22 07:25:53, nfs: commencing lattice sieving with 48 threads 02/04/22 07:34:51, nfs: commencing lattice sieving with 48 threads 02/04/22 07:43:00, nfs: commencing lattice sieving with 48 threads 02/04/22 07:51:37, nfs: commencing lattice sieving with 48 threads 02/04/22 07:59:48, nfs: commencing msieve filtering 02/04/22 08:14:38, nfs: commencing msieve linear algebra 02/04/22 10:56:32, nfs: commencing msieve sqrt 02/04/22 11:30:29, prp92 = 79690074661386541801297747046043781535425601774041103997338942133364779017286524412147008731 02/04/22 11:30:29, prp65 = 73391458449090910239583963735174695542759969445636225355379273549 02/04/22 11:30:30, NFS elapsed time = 167589.9435 seconds. 02/04/22 11:30:30, 02/04/22 11:30:30, 02/04/22 11:30:30, Total factoring time = 174967.0843 seconds
software ソフトウェア	YAFU Version 2.07 Built with GCC 9 Using GMP-ECM 7.0.5-dev, Powered by GMP 6.2.1 Detected Intel(R) Xeon(R) Gold 6248R CPU @ 3.00GHz Detected L1 = 32768 bytes, L2 = 37486592 bytes, CL = 64 bytes Using 1 random witness for Rabin-Miller PRP checks Cached 664579 primes; max prime is 9999991 Note: YAFU was unable to detect SNFS form
execution environment 実行環境	Ubuntu 20.04.3 LTS

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	918	118	Makoto Kamada	December 7, 2011 14:00:00 UTC 2011 年 12 月 7 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	918	800	Serge Batalov	December 7, 2011 18:50:50 UTC 2011 年 12 月 8 日 (木) 3 時 50 分 50 秒 (日本時間)
40	3e6	50		Dmitry Domanov	December 13, 2011 11:58:12 UTC 2011 年 12 月 13 日 (火) 20 時 58 分 12 秒 (日本時間)
45	11e6	5080	600	Dmitry Domanov	December 13, 2011 11:58:18 UTC 2011 年 12 月 13 日 (火) 20 時 58 分 18 秒 (日本時間)
45	11e6	5080	4480	Ignacio Santos	December 20, 2021 14:37:57 UTC 2021 年 12 月 20 日 (月) 23 時 37 分 57 秒 (日本時間)
50	43e6	36437	400	Dmitry Domanov	January 13, 2012 20:42:51 UTC 2012 年 1 月 14 日 (土) 5 時 42 分 51 秒 (日本時間)
50	43e6	36437	36037	Bob Backstrom	December 23, 2021 23:40:48 UTC 2021 年 12 月 24 日 (金) 8 時 40 分 48 秒 (日本時間)
55	11e7	4449		Stargate38	December 23, 2021 23:41:32 UTC 2021 年 12 月 24 日 (金) 8 時 41 分 32 秒 (日本時間)
60	26e7	19394 / 35991		ebina	December 24, 2021 05:23:51 UTC 2021 年 12 月 24 日 (金) 14 時 23 分 51 秒 (日本時間)

10²⁰⁷+72×10¹⁰³-19

c170

name 名前	Bob Backstrom
date 日付	May 27, 2024 03:33:36 UTC 2024 年 5 月 27 日 (月) 12 時 33 分 36 秒 (日本時間)
composite number 合成数	33043538775201333422432872032638252692966536858861832538175254577266545367833506485468670765496059921821716280874322576349645893717142188758819414806351077640504962177201<170>
prime factors 素因数	6718818295392371502273847894598498240067588008807333<52> 4918058105226914396769664943338498974976367797750907792207189986820608937206810732949771435475443330427694490447002397<118>
factorization results 素因数分解の結果	Number: n N=33043538775201333422432872032638252692966536858861832538175254577266545367833506485468670765496059921821716280874322576349645893717142188758819414806351077640504962177201 ( 170 digits) SNFS difficulty: 207 digits. Divisors found: Mon May 27 13:13:43 2024 prp52 factor: 6718818295392371502273847894598498240067588008807333 Mon May 27 13:13:43 2024 prp118 factor: 4918058105226914396769664943338498974976367797750907792207189986820608937206810732949771435475443330427694490447002397 Mon May 27 13:13:43 2024 elapsed time 03:04:44 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=1.991). Factorization parameters were as follows: # # N = 10^207+72x10^103-1 = 1(103)91(103) # n: 33043538775201333422432872032638252692966536858861832538175254577266545367833506485468670765496059921821716280874322576349645893717142188758819414806351077640504962177201 m: 10000000000000000000000000000000000 deg: 6 c6: 1000 c3: 720 c0: -1 skew: 0.32 # Murphy_E = 7.216e-12 type: snfs lss: 1 rlim: 19700000 alim: 19700000 lpbr: 27 lpba: 27 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 19700000/19700000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 56/56 Sieved special-q in [100000, 49850000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 4585800 hash collisions in 21524611 relations (17330071 unique) Msieve: matrix is 2389282 x 2389507 (672.6 MB) Sieving start time: 2024/05/26 12:13:39 Sieving end time : 2024/05/27 10:08:30 Total sieving time: 21hrs 54min 51secs. Total relation processing time: 2hrs 53min 49sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 4min 11sec. Prototype def-par.txt line would be: snfs,207,6,0,0,0,0,0,0,0,0,19700000,19700000,27,27,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	918	118	Makoto Kamada	December 7, 2011 14:00:00 UTC 2011 年 12 月 7 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	918	800	Serge Batalov	December 7, 2011 18:50:50 UTC 2011 年 12 月 8 日 (木) 3 時 50 分 50 秒 (日本時間)
40	3e6	50		Dmitry Domanov	December 13, 2011 11:59:29 UTC 2011 年 12 月 13 日 (火) 20 時 59 分 29 秒 (日本時間)
45	11e6	600 / 3164		Dmitry Domanov	December 13, 2011 11:59:29 UTC 2011 年 12 月 13 日 (火) 20 時 59 分 29 秒 (日本時間)
50	43e6	360 / 7411		Dmitry Domanov	January 13, 2012 20:44:41 UTC 2012 年 1 月 14 日 (土) 5 時 44 分 41 秒 (日本時間)

10²⁰⁹+72×10¹⁰⁴-19

c188

name 名前	Serge Batalov
date 日付	December 7, 2011 18:47:14 UTC 2011 年 12 月 8 日 (木) 3 時 47 分 14 秒 (日本時間)
composite number 合成数	31057183048831034258860960091052722074197048880257490293287715015056248740049361488988495768028828373651183444116053004803706236508006833308614311862036033399522759360530854091496564115591<188>
prime factors 素因数	22152275082348965987637044643730027<35> 1401986158684781755471614309691841052396995008406768922022299216108132557739944644040962948507855589681804473785992722417079713663131113989799127969186133<154>
factorization results 素因数分解の結果	Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2190975803 Step 1 took 4577ms Step 2 took 3204ms ********** Factor found in step 2: 22152275082348965987637044643730027 Found probable prime factor of 35 digits: 22152275082348965987637044643730027 Probable prime cofactor ((10^209+10^104*72-1)/9/16156946651/22142983571)/22152275082348965987637044643730027 has 154 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	918	118	Makoto Kamada	December 7, 2011 14:00:00 UTC 2011 年 12 月 7 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	918	800	Serge Batalov	December 7, 2011 18:50:50 UTC 2011 年 12 月 8 日 (木) 3 時 50 分 50 秒 (日本時間)

10²¹¹+72×10¹⁰⁵-19

c209

name 名前	Warut Roonguthai
date 日付	December 7, 2011 15:34:37 UTC 2011 年 12 月 8 日 (木) 0 時 34 分 37 秒 (日本時間)
composite number 合成数	52910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910053291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291<209>
prime factors 素因数	36285706632946618839980126821<29>
composite cofactor 合成数の残り	1458151371978842836956881515428300916068255790867447320795687674208551255853291255417604140678341138214910640540521491934217604441928380807712905084200358740265389315239827039581071<181>
factorization results 素因数分解の結果	Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3664285537 Step 1 took 9875ms Step 2 took 5882ms ********** Factor found in step 2: 36285706632946618839980126821 Found probable prime factor of 29 digits: 36285706632946618839980126821 Composite cofactor 1458151371978842836956881515428300916068255790867447320795687674208551255853291255417604140678341138214910640540521491934217604441928380807712905084200358740265389315239827039581071 has 181 digits
software ソフトウェア	GMP-ECM 6.3

c181

name 名前	Serge Batalov
date 日付	December 8, 2011 14:32:46 UTC 2011 年 12 月 8 日 (木) 23 時 32 分 46 秒 (日本時間)
composite number 合成数	1458151371978842836956881515428300916068255790867447320795687674208551255853291255417604140678341138214910640540521491934217604441928380807712905084200358740265389315239827039581071<181>
prime factors 素因数	2025112299678070208793242951929013<34>
composite cofactor 合成数の残り	720034820889016128393115377311599232045779970008725088301845666634777386152421830385140310250202206470931847416132593715856908763459760003256364467<147>
factorization results 素因数分解の結果	Input number is (10^211+10^10572-1)/9/3/7/36285706632946618839980126821 (181 digits) Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1757436507 Step 1 took 4616ms ********* Factor found in step 1: 2025112299678070208793242951929013 Found probable prime factor of 34 digits: 2025112299678070208793242951929013 Composite cofactor ((10^211+10^105*72-1)/9/3/7/36285706632946618839980126821)/2025112299678070208793242951929013 has 147 digits

c147

name 名前	ebina
date 日付	March 27, 2023 21:27:17 UTC 2023 年 3 月 28 日 (火) 6 時 27 分 17 秒 (日本時間)
composite number 合成数	720034820889016128393115377311599232045779970008725088301845666634777386152421830385140310250202206470931847416132593715856908763459760003256364467<147>
prime factors 素因数	153598551732803927143336076600619373696039458909809140882227553<63> 4687770898657756246075953428507276418949908465131862811912067789434465979965893608339<85>
factorization results 素因数分解の結果	Number: 11911_105 N = 720034820889016128393115377311599232045779970008725088301845666634777386152421830385140310250202206470931847416132593715856908763459760003256364467 (147 digits) Divisors found: r1=153598551732803927143336076600619373696039458909809140882227553 (pp63) r2=4687770898657756246075953428507276418949908465131862811912067789434465979965893608339 (pp85) Version: Msieve v. 1.53 (SVN unknown) Total time: 114.48 hours. Factorization parameters were as follows: n: 720034820889016128393115377311599232045779970008725088301845666634777386152421830385140310250202206470931847416132593715856908763459760003256364467 # norm 2.902272e-14 alpha -6.397933 e 7.100e-12 rroots 3 skew: 7874107.26 c0: -9134461542926310576780635885965981647 c1: -9818303304837598938119067183001 c2: -1544829948638206394677291 c3: 610745525656335701 c4: 1730938566 c5: 312 Y0: -74582987570604262095656442580 Y1: 800789511342599 type: gnfs Factor base limits: 17700000/17700000 Large primes per side: 3 Large prime bits: 29/29 Sieved algebraic special-q in [0, 0) Total raw relations: 42788382 Relations: 6389854 relations Pruned matrix : 3763699 x 3763935 Polynomial selection time: 0.70 hours. Total sieving time: 100.36 hours. Total relation processing time: 0.44 hours. Matrix solve time: 12.66 hours. time per square root: 0.32 hours. Prototype def-par.txt line would be: gnfs,146,5,65,2000,1e-05,0.28,250,20,50000,3600,17700000,17700000,29,29,58,58,2.6,2.6,100000 total time: 114.48 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel processors: 8, speed: 2.29GHz Windows-post2008Server-6.2.9200 Running Python 3.2

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	918	118	Makoto Kamada	December 7, 2011 14:00:00 UTC 2011 年 12 月 7 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	918	800	Serge Batalov	December 7, 2011 18:50:50 UTC 2011 年 12 月 8 日 (木) 3 時 50 分 50 秒 (日本時間)
40	3e6	0		-	-
45	11e6	103438	610	Dmitry Domanov	December 12, 2011 08:08:25 UTC 2011 年 12 月 12 日 (月) 17 時 8 分 25 秒 (日本時間)
45	11e6	103438	102828	Eric Jeancolas	December 19, 2021 07:53:30 UTC 2021 年 12 月 19 日 (日) 16 時 53 分 30 秒 (日本時間)
50	43e6	400		Dmitry Domanov	January 13, 2012 20:44:06 UTC 2012 年 1 月 14 日 (土) 5 時 44 分 6 秒 (日本時間)

10²¹³+72×10¹⁰⁶-19

c163

name 名前	Dmitry Domanov
date 日付	January 14, 2012 08:26:48 UTC 2012 年 1 月 14 日 (土) 17 時 26 分 48 秒 (日本時間)
composite number 合成数	2829665258200624272859905463690551347298913889410265797663278649499215312485474310479351279521960108583204265483090530961144912767519173732197743551608864050391399<163>
prime factors 素因数	132474387652106290359263322965143894468639<42>
composite cofactor 合成数の残り	21360093134619095668018289347327646365175392959554903403770628839145084491701690901178276581778456738533147444826801894841<122>
factorization results 素因数分解の結果	Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3609645930 Step 1 took 284542ms Step 2 took 78220ms ********** Factor found in step 2: 132474387652106290359263322965143894468639 Found probable prime factor of 42 digits: 132474387652106290359263322965143894468639

c122

name 名前	Warut Roonguthai
date 日付	January 15, 2012 11:20:06 UTC 2012 年 1 月 15 日 (日) 20 時 20 分 6 秒 (日本時間)
composite number 合成数	21360093134619095668018289347327646365175392959554903403770628839145084491701690901178276581778456738533147444826801894841<122>
prime factors 素因数	10352473063494313530050609640268066130367990057282075059513<59> 2063284106475070034949124460711982413093036222864732341393200257<64>
factorization results 素因数分解の結果	N = 21360093134619095668018289347327646365175392959554903403770628839145084491701690901178276581778456738533147444826801894841 (122 digits) Divisors found: r1=10352473063494313530050609640268066130367990057282075059513 (pp59) r2=2063284106475070034949124460711982413093036222864732341393200257 (pp64) Version: Msieve v. 1.48 Total time: 16.31 hours. Factorization parameters were as follows: n: 21360093134619095668018289347327646365175392959554903403770628839145084491701690901178276581778456738533147444826801894841 Y0: -320663303409516699410273 Y1: 9109237145377 c0: 46459471640683626617506561929600 c1: 259419930889148634885578268 c2: -1339440281493689279153 c3: -3220607895132947 c4: 8314228837 c5: 6300 skew: 434706.77 type: gnfs Factor base limits: 4700000/4700000 Large primes per side: 3 Large prime bits: 27/27 Sieved algebraic special-q in [0, 0) Total raw relations: 10709652 Relations: 1293814 relations Pruned matrix : 747968 x 748196 Polynomial selection time: 0.00 hours. Total sieving time: 15.57 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.65 hours. time per square root: 0.04 hours. Prototype def-par.txt line would be: gnfs,121,5,65,2000,1e-05,0.28,250,20,50000,3600,4700000,4700000,27,27,53,53,2.5,2.5,100000 total time: 16.31 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	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	918	118	Makoto Kamada	December 7, 2011 14:00:00 UTC 2011 年 12 月 7 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	918	800	Serge Batalov	December 7, 2011 18:50:50 UTC 2011 年 12 月 8 日 (木) 3 時 50 分 50 秒 (日本時間)
40	3e6	40		Dmitry Domanov	December 13, 2011 12:04:31 UTC 2011 年 12 月 13 日 (火) 21 時 4 分 31 秒 (日本時間)
45	11e6	600 / 3026		Dmitry Domanov	December 13, 2011 12:04:31 UTC 2011 年 12 月 13 日 (火) 21 時 4 分 31 秒 (日本時間)
50	43e6	400 / 7412		Dmitry Domanov	January 13, 2012 20:43:34 UTC 2012 年 1 月 14 日 (土) 5 時 43 分 34 秒 (日本時間)

10²¹⁵+72×10¹⁰⁷-19

c179

name 名前	ebina
date 日付	December 7, 2023 07:08:30 UTC 2023 年 12 月 7 日 (木) 16 時 8 分 30 秒 (日本時間)
composite number 合成数	12983142270192250038980311501208341025454322610534429054723264442740571932995805090094408174682815099724965435612227140613306292670798930478587466889608556848047451573876402240651<179>
prime factors 素因数	10292142204315569750225610093594306076904269378369872082206592203853304471307516449761<86> 1261461609493534249456746118595251559718313355781236021143465650198744022068707418491296128491<94>
factorization results 素因数分解の結果	Number: 11911_107 N = 12983142270192250038980311501208341025454322610534429054723264442740571932995805090094408174682815099724965435612227140613306292670798930478587466889608556848047451573876402240651 (179 digits) SNFS difficulty: 217 digits. Divisors found: r1=10292142204315569750225610093594306076904269378369872082206592203853304471307516449761 (pp86) r2=1261461609493534249456746118595251559718313355781236021143465650198744022068707418491296128491 (pp94) Version: Msieve v. 1.54 (SVN 1018) Total time: 89.28 hours. Factorization parameters were as follows: n: 12983142270192250038980311501208341025454322610534429054723264442740571932995805090094408174682815099724965435612227140613306292670798930478587466889608556848047451573876402240651 m: 1000000000000000000000000000000000000 deg: 6 c6: 1 c3: 72 c0: -10 skew: 1.47 # Murphy_E = 4.408e-12 type: snfs lss: 1 rlim: 28000000 alim: 28000000 lpbr: 29 lpba: 29 mfbr: 58 mfba: 58 rlambda: 2.6 alambda: 2.6 Factor base limits: 28000000/28000000 Large primes per side: 3 Large prime bits: 29/29 Sieved rational special-q in [0, 0) Total raw relations: 50237871 Relations: 5719482 relations Pruned matrix : 3875921 x 3876146 Total sieving time: 85.56 hours. Total relation processing time: 0.26 hours. Matrix solve time: 3.06 hours. time per square root: 0.39 hours. Prototype def-par.txt line would be: snfs,217,6,0,0,0,0,0,0,0,0,28000000,28000000,29,29,58,58,2.6,2.6,100000 total time: 89.28 hours. Intel64 Family 6 Model 158 Stepping 12, GenuineIntel processors: 16, speed: 3.60GHz Windows-post2008Server-6.2.9200 Running Python 3.2

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	918	118	Makoto Kamada	December 7, 2011 14:00:00 UTC 2011 年 12 月 7 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	918	800	Serge Batalov	December 7, 2011 18:50:50 UTC 2011 年 12 月 8 日 (木) 3 時 50 分 50 秒 (日本時間)
40	3e6	0		-	-
45	11e6	720 / 3315		Dmitry Domanov	December 15, 2011 21:08:26 UTC 2011 年 12 月 16 日 (金) 6 時 8 分 26 秒 (日本時間)
50	43e6	320 / 7386		Dmitry Domanov	January 13, 2012 20:45:18 UTC 2012 年 1 月 14 日 (土) 5 時 45 分 18 秒 (日本時間)

10²¹⁹+72×10¹⁰⁹-19

c205

name 名前	Erik Branger
date 日付	August 14, 2018 15:23:43 UTC 2018 年 8 月 15 日 (水) 0 時 23 分 43 秒 (日本時間)
composite number 合成数	3195859123916133723612089982657574338027654870934853450346426585548143602280236763183232044096766383643101305218973460088289223952130771098820737929284218033114679017755616255949325074515086696568101838161<205>
prime factors 素因数	3775397405830799740362309739997997237918053172666178514636658533<64> 846496085148648078771691988526708196455457281799070647667856181540706607884079687589144685562448959481618067376882721833687321770798990990717<141>
factorization results 素因数分解の結果	Number: 11911_109 N = 3195859123916133723612089982657574338027654870934853450346426585548143602280236763183232044096766383643101305218973460088289223952130771098820737929284218033114679017755616255949325074515086696568101838161 (205 digits) SNFS difficulty: 221 digits. Divisors found: r1=3775397405830799740362309739997997237918053172666178514636658533 (pp64) r2=846496085148648078771691988526708196455457281799070647667856181540706607884079687589144685562448959481618067376882721833687321770798990990717 (pp141) Version: Msieve v. 1.52 (SVN unknown) Total time: 37.44 hours. Factorization parameters were as follows: n: 3195859123916133723612089982657574338027654870934853450346426585548143602280236763183232044096766383643101305218973460088289223952130771098820737929284218033114679017755616255949325074515086696568101838161 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 1 c2: 72 c0: -10 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 536870912 lpbr: 29 lpba: 29 mfbr: 58 mfba: 58 rlambda: 2.8 alambda: 2.8 side: 1 Number of cores used: 6 Number of threads per core: 1 Factor base limits: 536870912/536870912 Large primes per side: 3 Large prime bits: 29/29 Total raw relations: 29401945 Relations: 8760506 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 13.11 hours. Total relation processing time: 0.23 hours. Pruned matrix : 7354837 x 7355062 Matrix solve time: 23.45 hours. time per square root: 0.65 hours. Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,536870912,29,29,58,58,2.8,2.8,100000 total time: 37.44 hours. Intel64 Family 6 Model 158 Stepping 10, GenuineIntel Windows-10-10.0.16299-SP0 processors: 12, speed: 3.19GHz
software ソフトウェア	GGNFS; NFS_factory, Msieve

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	918	118	Makoto Kamada	December 7, 2011 14:00:00 UTC 2011 年 12 月 7 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	918	800	Serge Batalov	December 7, 2011 18:50:50 UTC 2011 年 12 月 8 日 (木) 3 時 50 分 50 秒 (日本時間)
40	3e6	0		-	-
45	11e6	630 / 3035		Dmitry Domanov	December 15, 2011 21:07:56 UTC 2011 年 12 月 16 日 (金) 6 時 7 分 56 秒 (日本時間)
50	43e6	400 / 7407		Dmitry Domanov	July 17, 2014 12:16:42 UTC 2014 年 7 月 17 日 (木) 21 時 16 分 42 秒 (日本時間)

10²²¹+72×10¹¹⁰-19

c216

name 名前	Warut Roonguthai
date 日付	December 7, 2011 16:55:51 UTC 2011 年 12 月 8 日 (木) 1 時 55 分 51 秒 (日本時間)
composite number 合成数	217026605291542690218393872904879409166769754304180149444520403756296484386020882299961152237652813858450907512375942166750221909703910602400748307735045239195873022073776024202807022112840813155284706352151710278163<216>
prime factors 素因数	4633730866585023191600910531227<31> 46836256040801829820119414921305051406542619813208568614151625995995339257739058110219492995623995542556439519879697923182278954793127768906502579431727357042514337325736887978035630569<185>
factorization results 素因数分解の結果	Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3194673333 Step 1 took 11544ms Step 2 took 6412ms ********** Factor found in step 2: 4633730866585023191600910531227 Found probable prime factor of 31 digits: 4633730866585023191600910531227 Probable prime cofactor 46836256040801829820119414921305051406542619813208568614151625995995339257739058110219492995623995542556439519879697923182278954793127768906502579431727357042514337325736887978035630569 has 185 digits
software ソフトウェア	GMP-ECM 6.3

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	918	118	Makoto Kamada	December 7, 2011 14:00:00 UTC 2011 年 12 月 7 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	918	800	Serge Batalov	December 7, 2011 18:50:50 UTC 2011 年 12 月 8 日 (木) 3 時 50 分 50 秒 (日本時間)

10²²⁵+72×10¹¹²-19

c211

composite cofactor 合成数の残り

2299946397743865585293029848407905134491761302423294437557619940759160237561053956790842483114815814892962124953504327727844616363236521758211049064256376949659825407838025296616908112907133769372399016342905627<211>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	918	118	Makoto Kamada	December 7, 2011 14:00:00 UTC 2011 年 12 月 7 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	918	800	Serge Batalov	December 7, 2011 18:50:50 UTC 2011 年 12 月 8 日 (木) 3 時 50 分 50 秒 (日本時間)
40	3e6	0		-	-
45	11e6	3035	630	Dmitry Domanov	December 15, 2011 21:07:33 UTC 2011 年 12 月 16 日 (金) 6 時 7 分 33 秒 (日本時間)
45	11e6	3035	2405	ebina	December 4, 2023 09:35:44 UTC 2023 年 12 月 4 日 (月) 18 時 35 分 44 秒 (日本時間)
50	43e6	400 / 6867		Dmitry Domanov	July 17, 2014 12:16:51 UTC 2014 年 7 月 17 日 (木) 21 時 16 分 51 秒 (日本時間)

10²²⁷+72×10¹¹³-19

c199

composite cofactor 合成数の残り

2174901143173445334276219295705615354660436801558498397369809654798951238358932886314751690255138015485941264705103828339608803849866085228400216227233187977015382836952697978360172464406641352445877<199>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	918	118	Makoto Kamada	December 7, 2011 14:00:00 UTC 2011 年 12 月 7 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	918	800	Serge Batalov	December 7, 2011 18:50:50 UTC 2011 年 12 月 8 日 (木) 3 時 50 分 50 秒 (日本時間)
40	3e6	0		-	-
45	11e6	3035	630	Dmitry Domanov	December 15, 2011 21:06:31 UTC 2011 年 12 月 16 日 (金) 6 時 6 分 31 秒 (日本時間)
45	11e6	3035	2405	ebina	December 4, 2023 09:36:42 UTC 2023 年 12 月 4 日 (月) 18 時 36 分 42 秒 (日本時間)
50	43e6	400 / 6867		Dmitry Domanov	July 17, 2014 12:17:04 UTC 2014 年 7 月 17 日 (木) 21 時 17 分 4 秒 (日本時間)

10²²⁹+72×10¹¹⁴-19

c178

name 名前	Dmitry Domanov
date 日付	December 16, 2011 05:15:43 UTC 2011 年 12 月 16 日 (金) 14 時 15 分 43 秒 (日本時間)
composite number 合成数	8839565493986091668787563213047597352287736929823212056083891138487507287527371030964512220668579626979613070019672747177144619811995820735003282659558049823799072247228788461613<178>
prime factors 素因数	7097835278747594947321439059884209477<37> 1245388931531505343582385147532613694374727456803558394643359590344974081526994801806287610454129541744960937997851941880996570333380545780169<142>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2462695802 Step 1 took 91193ms Step 2 took 29867ms ********** Factor found in step 2: 7097835278747594947321439059884209477 Found probable prime factor of 37 digits: 7097835278747594947321439059884209477

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	918	118	Makoto Kamada	December 7, 2011 14:00:00 UTC 2011 年 12 月 7 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	918	800	Serge Batalov	December 7, 2011 18:50:50 UTC 2011 年 12 月 8 日 (木) 3 時 50 分 50 秒 (日本時間)
40	3e6	0		-	-
45	11e6	750 / 4438		Dmitry Domanov	December 15, 2011 21:05:54 UTC 2011 年 12 月 16 日 (金) 6 時 5 分 54 秒 (日本時間)

10²³¹+72×10¹¹⁵-19

c222

name 名前	ebina
date 日付	December 4, 2023 08:50:22 UTC 2023 年 12 月 4 日 (月) 17 時 50 分 22 秒 (日本時間)
composite number 合成数	725174583079601091991382857755103396004828012225959054100577237445264738002062847572869061017502711487593037732550567995494049409179926017993607543990027497757232624608683013768220472792203461832478273818440219509157011879<222>
prime factors 素因数	20531390070084363558603548943892032812424254247781253<53> 35320286673440097322972635204789742606662138679018235056872819092111798832007742689325274465158045038513807435044092815662273951837032257558939192990454580579470563306043<170>
factorization results 素因数分解の結果	Y:\ALL\ECM>ecm-svn3038-skylake\ecm -primetest -one -sigma 1:1936459708 43e6 GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM] Input number is 725174583079601091991382857755103396004828012225959054100577237445264738002062847572869061017502711487593037732550567995494049409179926017993607543990027497757232624608683013768220472792203461832478273818440219509157011879 (222 digits) Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:1936459708 Step 1 took 99547ms ********** Factor found in step 1: 20531390070084363558603548943892032812424254247781253 Found prime factor of 53 digits: 20531390070084363558603548943892032812424254247781253 Prime cofactor 35320286673440097322972635204789742606662138679018235056872819092111798832007742689325274465158045038513807435044092815662273951837032257558939192990454580579470563306043 has 170 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	918	118	Makoto Kamada	December 7, 2011 14:00:00 UTC 2011 年 12 月 7 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	918	800	Serge Batalov	December 7, 2011 22:59:29 UTC 2011 年 12 月 8 日 (木) 7 時 59 分 29 秒 (日本時間)
40	3e6	2100		Wataru Sakai	December 12, 2011 08:37:04 UTC 2011 年 12 月 12 日 (月) 17 時 37 分 4 秒 (日本時間)
45	11e6	2150		yas mat	September 26, 2014 08:47:09 UTC 2014 年 9 月 26 日 (金) 17 時 47 分 9 秒 (日本時間)
50	43e6	520 / 6986		Dmitry Domanov	January 13, 2012 20:40:36 UTC 2012 年 1 月 14 日 (土) 5 時 40 分 36 秒 (日本時間)

10²³⁵+72×10¹¹⁷-19

c219

name 名前	Dmitry Domanov
date 日付	December 16, 2011 05:16:30 UTC 2011 年 12 月 16 日 (金) 14 時 16 分 30 秒 (日本時間)
composite number 合成数	143363824188724130858548093205653814525814025223458206300331979297441863815763564903061123074142184017797015084013979877733954833471235786926270266282609763564781746670557609601705244577508293405845513324223644688612217<219>
prime factors 素因数	147835670600591673435779457922750052281<39>
composite cofactor 合成数の残り	969751235316210313949069186652394228831113690600704011856620198736129574854194665604290582373386384371158992438834352253991919651137283143365508239682422988234684502098676450296257<180>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=692717582 Step 1 took 114411ms Step 2 took 34271ms ********** Factor found in step 2: 147835670600591673435779457922750052281 Found probable prime factor of 39 digits: 147835670600591673435779457922750052281

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	918	118	Makoto Kamada	December 7, 2011 14:00:00 UTC 2011 年 12 月 7 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	918	800	Serge Batalov	December 7, 2011 18:50:50 UTC 2011 年 12 月 8 日 (木) 3 時 50 分 50 秒 (日本時間)
40	3e6	0		-	-
45	11e6	3430	630	Dmitry Domanov	December 15, 2011 21:05:14 UTC 2011 年 12 月 16 日 (金) 6 時 5 分 14 秒 (日本時間)
45	11e6	3430	2800	Thomas Kozlowski	November 1, 2024 13:59:10 UTC 2024 年 11 月 1 日 (金) 22 時 59 分 10 秒 (日本時間)
50	43e6	320 / 6778		Dmitry Domanov	January 13, 2012 20:45:50 UTC 2012 年 1 月 14 日 (土) 5 時 45 分 50 秒 (日本時間)

10²³⁷+72×10¹¹⁸-19

c221

composite cofactor 合成数の残り

20441539836377931137575341957318782759287309376106151874286590444385579634598934412576979126359355200113153605531886748560174583204610333746993917645886799426638044106631040305019306143176387816129587903587395213826317151<221>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	918	118	Makoto Kamada	December 7, 2011 14:00:00 UTC 2011 年 12 月 7 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	918	800	Serge Batalov	December 7, 2011 18:50:50 UTC 2011 年 12 月 8 日 (木) 3 時 50 分 50 秒 (日本時間)
40	3e6	0		-	-
45	11e6	3232	630	Dmitry Domanov	December 15, 2011 21:04:53 UTC 2011 年 12 月 16 日 (金) 6 時 4 分 53 秒 (日本時間)
45	11e6	3232	2602	Thomas Kozlowski	November 1, 2024 14:58:29 UTC 2024 年 11 月 1 日 (金) 23 時 58 分 29 秒 (日本時間)
50	43e6	400 / 6823		Dmitry Domanov	July 17, 2014 12:17:28 UTC 2014 年 7 月 17 日 (木) 21 時 17 分 28 秒 (日本時間)

10²³⁹+72×10¹¹⁹-19

c228

composite cofactor 合成数の残り

389542954303270050359289132115514403311373995592538112477105600790450285170889248712060827404340091467423144564878624341030181879645907054313332256892848994435605179384512557157107955193831329858762017000892812728703318580860841<228>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	918	118	Makoto Kamada	December 7, 2011 14:00:00 UTC 2011 年 12 月 7 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	918	800	Serge Batalov	December 7, 2011 22:59:46 UTC 2011 年 12 月 8 日 (木) 7 時 59 分 46 秒 (日本時間)
40	3e6	2100		Wataru Sakai	December 12, 2011 08:36:42 UTC 2011 年 12 月 12 日 (月) 17 時 36 分 42 秒 (日本時間)
45	11e6	2290		yas mat	October 2, 2014 08:41:09 UTC 2014 年 10 月 2 日 (木) 17 時 41 分 9 秒 (日本時間)
50	43e6	480 / 6955		Dmitry Domanov	January 13, 2012 20:37:45 UTC 2012 年 1 月 14 日 (土) 5 時 37 分 45 秒 (日本時間)

10²⁴¹+72×10¹²⁰-19

c226

name 名前	Thomas Kozlowski
date 日付	November 1, 2024 15:54:44 UTC 2024 年 11 月 2 日 (土) 0 時 54 分 44 秒 (日本時間)
composite number 合成数	3516253115536665144984463345465687626459121977167107901376883958270754419077000747124779482279947030550518301928854724527626831894567585568849089156357043523544868937009934133872701352475467508523933680265815761352970226758859<226>
prime factors 素因数	596953135952273816573225071105221938695461374580091<51>
composite cofactor 合成数の残り	5890333602029671365894000960030034261824958569043613614506714340774110521404358315324560584185502346532111741943760620378629561524873481368901554538232999332743703452525278449<175>
factorization results 素因数分解の結果	GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM] Input number is 3516253115536665144984463345465687626459121977167107901376883958270754419077000747124779482279947030550518301928854724527626831894567585568849089156357043523544868937009934133872701352475467508523933680265815761352970226758859 (226 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3635089861 Step 1 took 38673ms Step 2 took 14622ms Run 2 out of 0: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4262822058 Step 1 took 37314ms Step 2 took 15172ms Run 3 out of 0: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3437558014 Step 1 took 37166ms Step 2 took 14580ms ** Factor found in step 2: 596953135952273816573225071105221938695461374580091 Found prime factor of 51 digits: 596953135952273816573225071105221938695461374580091 Composite cofactor 5890333602029671365894000960030034261824958569043613614506714340774110521404358315324560584185502346532111741943760620378629561524873481368901554538232999332743703452525278449 has 175 digits
execution environment 実行環境	2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	918	118	Makoto Kamada	December 7, 2011 14:00:00 UTC 2011 年 12 月 7 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	918	800	Serge Batalov	December 7, 2011 18:50:50 UTC 2011 年 12 月 8 日 (木) 3 時 50 分 50 秒 (日本時間)
40	3e6	0		-	-
45	11e6	630 / 3035		Dmitry Domanov	December 15, 2011 21:00:32 UTC 2011 年 12 月 16 日 (金) 6 時 0 分 32 秒 (日本時間)
50	43e6	400 / 7407		Dmitry Domanov	July 17, 2014 12:17:46 UTC 2014 年 7 月 17 日 (木) 21 時 17 分 46 秒 (日本時間)

10²⁴³+72×10¹²¹-19

c212

composite cofactor 合成数の残り

14787788399782590921898545282237875021627622115298438804755053736638618046089861827160266030472667605142493432286571788768794499992300850497077206178196745523420715174333384039397484568050531185325037283518684893<212>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	918	118	Makoto Kamada	December 7, 2011 14:00:00 UTC 2011 年 12 月 7 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	918	800	Serge Batalov	December 7, 2011 18:50:50 UTC 2011 年 12 月 8 日 (木) 3 時 50 分 50 秒 (日本時間)
40	3e6	0		-	-
45	11e6	3232	630	Dmitry Domanov	December 15, 2011 20:58:34 UTC 2011 年 12 月 16 日 (金) 5 時 58 分 34 秒 (日本時間)
45	11e6	3232	2602	Thomas Kozlowski	November 1, 2024 15:53:53 UTC 2024 年 11 月 2 日 (土) 0 時 53 分 53 秒 (日本時間)
50	43e6	400 / 6823		Dmitry Domanov	July 17, 2014 12:17:56 UTC 2014 年 7 月 17 日 (木) 21 時 17 分 56 秒 (日本時間)

10²⁴⁷+72×10¹²³-19

c225

name 名前	Serge Batalov
date 日付	December 7, 2011 18:49:20 UTC 2011 年 12 月 8 日 (木) 3 時 49 分 20 秒 (日本時間)
composite number 合成数	405932089441184414591970545345428914563157430157490485625825829746992752729703108871747083219676955609480032976547857034196001413876474875837755300726040448731558065446913434648911346246427216320624481248042144401700853021367<225>
prime factors 素因数	131958864349837886421268918171746205507<39> 3076201750001519383843970678712868514475330082808793009353282348149054634724366799921883665374672523518517592364619314550839515716018030524267392255150016981567964328673076074705947417981<187>
factorization results 素因数分解の結果	Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=59237472 Step 1 took 6373ms Step 2 took 4048ms ********** Factor found in step 2: 131958864349837886421268918171746205507 Found probable prime factor of 39 digits: 131958864349837886421268918171746205507 Probable prime cofactor ((10^247+10^123*72-1)/9/3/7/709/183839392597964297)/131958864349837886421268918171746205507 has 187 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	918	118	Makoto Kamada	December 7, 2011 14:00:00 UTC 2011 年 12 月 7 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	918	800	Serge Batalov	December 7, 2011 18:50:50 UTC 2011 年 12 月 8 日 (木) 3 時 50 分 50 秒 (日本時間)

10²⁴⁹+72×10¹²⁴-19

c234

composite cofactor 合成数の残り

914913389139860470841444772920034529847944319031687675795356146731468697673213039707201431839668592791440708919119409023171264021323369299825504177538164458022169462893826941693351121925059436069207271201570660289178489095593929360487<234>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	918	118	Makoto Kamada	December 7, 2011 14:00:00 UTC 2011 年 12 月 7 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	918	800	Serge Batalov	December 7, 2011 18:50:50 UTC 2011 年 12 月 8 日 (木) 3 時 50 分 50 秒 (日本時間)
40	3e6	0		-	-
45	11e6	3230	630	Dmitry Domanov	December 15, 2011 20:57:27 UTC 2011 年 12 月 16 日 (金) 5 時 57 分 27 秒 (日本時間)
45	11e6	3230	2600	Thomas Kozlowski	November 1, 2024 17:00:56 UTC 2024 年 11 月 2 日 (土) 2 時 0 分 56 秒 (日本時間)
50	43e6	400 / 6823		Dmitry Domanov	July 17, 2014 12:18:12 UTC 2014 年 7 月 17 日 (木) 21 時 18 分 12 秒 (日本時間)

10²⁵¹+72×10¹²⁵-19

c242

name 名前	Serge Batalov
date 日付	December 7, 2011 18:46:07 UTC 2011 年 12 月 8 日 (木) 3 時 46 分 7 秒 (日本時間)
composite number 合成数	70722736243202352484888352926533452853908911510390604564831118939750255005146878955330360643146368083987288971497005294178861015014648365413226607575727142478302375908895101301341417021295395954608990855147791384712002318296951871072570642839<242>
prime factors 素因数	11033384686691597227036666451749<32>
composite cofactor 合成数の残り	6409885837526148702075053179597842759754481796101860707030011910831400484166484554595631152683523304108288949395175950086964127312715129636154241450184472233136457040046373432642534169943077821571496370211526411<211>
factorization results 素因数分解の結果	Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2063220679 Step 1 took 7276ms Step 2 took 4344ms ********** Factor found in step 2: 11033384686691597227036666451749 Found probable prime factor of 32 digits: 11033384686691597227036666451749 Composite cofactor ((10^251+10^125*72-1)/9/7/22444007)/11033384686691597227036666451749 has 211 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	918	118	Makoto Kamada	December 7, 2011 14:00:00 UTC 2011 年 12 月 7 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	918	800	Serge Batalov	December 7, 2011 18:50:50 UTC 2011 年 12 月 8 日 (木) 3 時 50 分 50 秒 (日本時間)
40	3e6	0		-	-
45	11e6	3235	630	Dmitry Domanov	December 15, 2011 20:57:57 UTC 2011 年 12 月 16 日 (金) 5 時 57 分 57 秒 (日本時間)
45	11e6	3235	2605	Thomas Kozlowski	November 1, 2024 17:53:50 UTC 2024 年 11 月 2 日 (土) 2 時 53 分 50 秒 (日本時間)
50	43e6	400 / 6822		Dmitry Domanov	July 17, 2014 12:18:25 UTC 2014 年 7 月 17 日 (木) 21 時 18 分 25 秒 (日本時間)

10²⁵³+72×10¹²⁶-19

c216

composite cofactor 合成数の残り

656623085076668965623437961079224329141326412302860946516532170363176636239248526994796839817160872600350429973363346027830139791681457699066403711587551249630066618072470670287395450894802488736652454845603444191649<216>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	918	118	Makoto Kamada	December 7, 2011 14:00:00 UTC 2011 年 12 月 7 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	918	800	Serge Batalov	December 7, 2011 18:50:50 UTC 2011 年 12 月 8 日 (木) 3 時 50 分 50 秒 (日本時間)
40	3e6	0		-	-
45	11e6	3230	630	Dmitry Domanov	December 15, 2011 20:56:57 UTC 2011 年 12 月 16 日 (金) 5 時 56 分 57 秒 (日本時間)
45	11e6	3230	2600	Thomas Kozlowski	November 1, 2024 18:52:42 UTC 2024 年 11 月 2 日 (土) 3 時 52 分 42 秒 (日本時間)
50	43e6	400 / 6823		Dmitry Domanov	July 17, 2014 12:18:36 UTC 2014 年 7 月 17 日 (木) 21 時 18 分 36 秒 (日本時間)

10²⁵⁷+72×10¹²⁸-19

c223

composite cofactor 合成数の残り

1691687400335249854499309565079163882566349468518847370289853398168129397923829336535180089278679092454560325289036742267950052818313577126013298063710199236153317083533476984855213474816048590583381274227046645722770124719<223>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	918	118	Makoto Kamada	December 7, 2011 14:00:00 UTC 2011 年 12 月 7 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	918	800	Serge Batalov	December 7, 2011 18:50:50 UTC 2011 年 12 月 8 日 (木) 3 時 50 分 50 秒 (日本時間)
40	3e6	0		-	-
45	11e6	3231	630	Dmitry Domanov	December 15, 2011 20:56:17 UTC 2011 年 12 月 16 日 (金) 5 時 56 分 17 秒 (日本時間)
45	11e6	3231	2601	Thomas Kozlowski	November 1, 2024 19:51:47 UTC 2024 年 11 月 2 日 (土) 4 時 51 分 47 秒 (日本時間)
50	43e6	400 / 6823		Dmitry Domanov	July 17, 2014 12:18:52 UTC 2014 年 7 月 17 日 (木) 21 時 18 分 52 秒 (日本時間)

10²⁶³+72×10¹³¹-19

c217

name 名前	Dmitry Domanov
date 日付	July 21, 2014 05:18:20 UTC 2014 年 7 月 21 日 (月) 14 時 18 分 20 秒 (日本時間)
composite number 合成数	4985497433197069074963011361399516019883043883376632544353238144353823527108816593576792207332816285122232893478272918458714844370287086238346684466232469217995741275870024561835069157729382941244626560464370814438577<217>
prime factors 素因数	1669950278068351579747144647088943018471584413361<49> 2985416690947136767345884688580728266856205220159120350582267640205245396300379659243447161694531874495170710834182659819383950903689017093255094175718740493178853357057<169>
factorization results 素因数分解の結果	Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1735642798 Step 1 took 472325ms Step 2 took 117897ms ********** Factor found in step 2: 1669950278068351579747144647088943018471584413361 Found probable prime factor of 49 digits: 1669950278068351579747144647088943018471584413361

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	918	118	Makoto Kamada	December 7, 2011 14:00:00 UTC 2011 年 12 月 7 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	918	800	Serge Batalov	December 7, 2011 18:50:50 UTC 2011 年 12 月 8 日 (木) 3 時 50 分 50 秒 (日本時間)
40	3e6	0		-	-
45	11e6	720 / 3035		Dmitry Domanov	December 15, 2011 20:55:38 UTC 2011 年 12 月 16 日 (金) 5 時 55 分 38 秒 (日本時間)
50	43e6	400 / 7386		Dmitry Domanov	July 17, 2014 12:19:04 UTC 2014 年 7 月 17 日 (木) 21 時 19 分 4 秒 (日本時間)

10²⁶⁷+72×10¹³³-19

c252

name 名前	Dmitry Domanov
date 日付	December 9, 2011 05:13:06 UTC 2011 年 12 月 9 日 (金) 14 時 13 分 6 秒 (日本時間)
composite number 合成数	232273825548094395003686584185610955248343934255306547876939788187591702926525525083044746974509695837076621557885454518404887569502790448109531841015108063951786957826147560845805332701043434046907066371597676003211050670953723358259216145584235566729<252>
prime factors 素因数	1647071997154470666469598759515663517767<40> 141022266148278514849104599278825295873864983464435219289734990519576045388523815946177347245222350411444653763615337563293310612001209170742154152163002805826121216221123398062467627740836288273563121650690663087<213>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2264257854 Step 1 took 151176ms Step 2 took 43397ms ********** Factor found in step 2: 1647071997154470666469598759515663517767 Found probable prime factor of 40 digits: 1647071997154470666469598759515663517767

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	918	118	Makoto Kamada	December 7, 2011 14:00:00 UTC 2011 年 12 月 7 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	918	800	Serge Batalov	December 7, 2011 18:50:50 UTC 2011 年 12 月 8 日 (木) 3 時 50 分 50 秒 (日本時間)
40	3e6	0		-	-
45	11e6	800 / 4438		Dmitry Domanov	December 8, 2011 23:08:46 UTC 2011 年 12 月 9 日 (金) 8 時 8 分 46 秒 (日本時間)

10²⁶⁹+72×10¹³⁴-19

c265

composite cofactor 合成数の残り

1711771855047159314606549239117410431537684657388863212311063181499169790650302127732415823619028055940704222941166401342029134356973025899108166863520429997089987846419829165168866293500402266385936082438932539071192591451411355894486382854893099847652304900802821<265>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	918	118	Makoto Kamada	December 7, 2011 14:00:00 UTC 2011 年 12 月 7 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	918	800	Serge Batalov	December 7, 2011 18:55:56 UTC 2011 年 12 月 8 日 (木) 3 時 55 分 56 秒 (日本時間)
40	3e6	0		-	-
45	11e6	800		Dmitry Domanov	December 8, 2011 23:09:15 UTC 2011 年 12 月 9 日 (金) 8 時 9 分 15 秒 (日本時間)
50	43e6	1100	800	Dmitry Domanov	January 6, 2012 17:20:06 UTC 2012 年 1 月 7 日 (土) 2 時 20 分 6 秒 (日本時間)
50	43e6	1100	300	Dmitry Domanov	January 7, 2012 18:40:09 UTC 2012 年 1 月 8 日 (日) 3 時 40 分 9 秒 (日本時間)
55	11e7	2610 / 17326		yoyo@home	August 26, 2012 10:45:55 UTC 2012 年 8 月 26 日 (日) 19 時 45 分 55 秒 (日本時間)

10²⁷¹+72×10¹³⁵-19

c240

composite cofactor 合成数の残り

419720405842366039147341245895373181912160411985613480599630755720559345673751091357906598941280993473493679218932823168568666741325443971837911831498942586255915041627623735859652096761371577617409820338076116830431114685958464933598830649<240>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	918	118	Makoto Kamada	December 7, 2011 14:00:00 UTC 2011 年 12 月 7 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	918	800	Serge Batalov	December 7, 2011 18:50:50 UTC 2011 年 12 月 8 日 (木) 3 時 50 分 50 秒 (日本時間)
40	3e6	0		-	-
45	11e6	3100	700	Dmitry Domanov	December 15, 2011 20:54:18 UTC 2011 年 12 月 16 日 (金) 5 時 54 分 18 秒 (日本時間)
45	11e6	3100	2400	Thomas Kozlowski	November 1, 2024 20:53:55 UTC 2024 年 11 月 2 日 (土) 5 時 53 分 55 秒 (日本時間)
50	43e6	400 / 6852		Dmitry Domanov	July 17, 2014 12:19:24 UTC 2014 年 7 月 17 日 (木) 21 時 19 分 24 秒 (日本時間)

10²⁷³+72×10¹³⁶-19

c273

name 名前	Alfred Reich
date 日付	September 26, 2016 12:06:43 UTC 2016 年 9 月 26 日 (月) 21 時 6 分 43 秒 (日本時間)
composite number 合成数	111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111191111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<273>
prime factors 素因数	3948668030455486680577648190829312836176810875381268954494131<61> 28138883860108702099859794645433640627032128516666703132108459140851790398343401144432329305636925651887362947667766281392609792021612518807556346263506955769171687873041572796737914113036617878199255496841191581<212>
factorization results 素因数分解の結果	Input number is 111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111191111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (273 digits) Using B1=1000000000-1000000000, B2=19071176724616, polynomial Dickson(30), sigma=3:2155181341 Step 1 took 0ms Step 2 took 1310344ms ********** Factor found in step 2: 3948668030455486680577648190829312836176810875381268954494131 Found probable prime factor of 61 digits: 3948668030455486680577648190829312836176810875381268954494131 Probable prime cofactor 28138883860108702099859794645433640627032128516666703132108459140851790398343401144432329305636925651887362947667766281392609792021612518807556346263506955769171687873041572796737914113036617878199255496841191581 has 212 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	918	118	Makoto Kamada	December 7, 2011 14:00:00 UTC 2011 年 12 月 7 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	918	800	Serge Batalov	December 7, 2011 18:55:15 UTC 2011 年 12 月 8 日 (木) 3 時 55 分 15 秒 (日本時間)
40	3e6	0		-	-
45	11e6	800		Dmitry Domanov	December 8, 2011 23:09:45 UTC 2011 年 12 月 9 日 (金) 8 時 9 分 45 秒 (日本時間)
50	43e6	1400	600	Dmitry Domanov	December 9, 2011 23:23:32 UTC 2011 年 12 月 10 日 (土) 8 時 23 分 32 秒 (日本時間)
50	43e6	1400	800	Dmitry Domanov	December 11, 2011 09:14:14 UTC 2011 年 12 月 11 日 (日) 18 時 14 分 14 秒 (日本時間)
55	11e7	3898	2490	yoyo@home	September 5, 2012 18:10:08 UTC 2012 年 9 月 6 日 (木) 3 時 10 分 8 秒 (日本時間)
55	11e7	3898	1408	Alfred Reich	June 12, 2016 07:58:49 UTC 2016 年 6 月 12 日 (日) 16 時 58 分 49 秒 (日本時間)
60	26e7	16896 / 40368	1408	Alfred Reich	June 12, 2016 07:59:32 UTC 2016 年 6 月 12 日 (日) 16 時 59 分 32 秒 (日本時間)
			7040	Alfred Reich	June 23, 2016 19:13:07 UTC 2016 年 6 月 24 日 (金) 4 時 13 分 7 秒 (日本時間)
			8448	Alfred Reich	August 22, 2016 06:51:34 UTC 2016 年 8 月 22 日 (月) 15 時 51 分 34 秒 (日本時間)

10²⁷⁵+72×10¹³⁷-19

c251

name 名前	Serge Batalov
date 日付	December 7, 2011 18:44:05 UTC 2011 年 12 月 8 日 (木) 3 時 44 分 5 秒 (日本時間)
composite number 合成数	45936087572900060670021378744163482136347131234188068436734496455285672892126486746844444982435745275919594799448394586467586955049220366059213875046987442952532775904497738015694191957320789408493203223298630127327480067396525012667441716020526294631<251>
prime factors 素因数	5870827069209250475187539796569<31>
composite cofactor 合成数の残り	7824466132518404011893590826474965774947871248581558861263913848862706168776533174666070464675858714789329462855944331263099772970495163967718484804564547028253326796699577268854197718264170981084180936589018553114244799<220>
factorization results 素因数分解の結果	Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=3028360965 Step 1 took 2120ms Step 2 took 836ms ********** Factor found in step 2: 5870827069209250475187539796569 Found probable prime factor of 31 digits: 5870827069209250475187539796569 Composite cofactor ((10^275+10^137*72-1)/9/7/1453/20261/1173759057532951)/5870827069209250475187539796569 has 220 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	918	118	Makoto Kamada	December 7, 2011 14:00:00 UTC 2011 年 12 月 7 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	918	800	Serge Batalov	December 7, 2011 18:50:50 UTC 2011 年 12 月 8 日 (木) 3 時 50 分 50 秒 (日本時間)
40	3e6	0		-	-
45	11e6	4620	620	Dmitry Domanov	December 14, 2011 20:10:24 UTC 2011 年 12 月 15 日 (木) 5 時 10 分 24 秒 (日本時間)
45	11e6	4620	4000	Thomas Kozlowski	November 1, 2024 22:24:02 UTC 2024 年 11 月 2 日 (土) 7 時 24 分 2 秒 (日本時間)

10²⁷⁷+72×10¹³⁸-19

c229

composite cofactor 合成数の残り

2104431530158411043351869302827782290174775060580142518443351602785531581469141151484398539662963743639814799388808014797632193249502749680206670685410994700279171467045852518374237706096636500294594283574076008192322984688715959<229>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	918	118	Makoto Kamada	December 7, 2011 14:00:00 UTC 2011 年 12 月 7 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	918	800	Serge Batalov	December 7, 2011 18:50:50 UTC 2011 年 12 月 8 日 (木) 3 時 50 分 50 秒 (日本時間)
40	3e6	0		-	-
45	11e6	4438	620	Dmitry Domanov	December 13, 2011 17:40:05 UTC 2011 年 12 月 14 日 (水) 2 時 40 分 5 秒 (日本時間)
45	11e6	4438	3818	yas mat	October 15, 2014 07:29:20 UTC 2014 年 10 月 15 日 (水) 16 時 29 分 20 秒 (日本時間)

10²⁷⁹+72×10¹³⁹-19

c236

composite cofactor 合成数の残り

23102653532873648257592688292066333637907635585174326354084369321422349557950731717413188450617119600752199755461625535544693466125877489723504482194536733412112883094641010952419878506275616138045121801216548049869236104322982890698899<236>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	918	118	Makoto Kamada	December 7, 2011 14:00:00 UTC 2011 年 12 月 7 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	918	800	Serge Batalov	December 7, 2011 18:50:50 UTC 2011 年 12 月 8 日 (木) 3 時 50 分 50 秒 (日本時間)
40	3e6	0		-	-
45	11e6	4438	620	Dmitry Domanov	December 13, 2011 17:39:33 UTC 2011 年 12 月 14 日 (水) 2 時 39 分 33 秒 (日本時間)
45	11e6	4438	3818	yas mat	October 29, 2014 09:20:56 UTC 2014 年 10 月 29 日 (水) 18 時 20 分 56 秒 (日本時間)

10²⁸¹+72×10¹⁴⁰-19

c267

composite cofactor 合成数の残り

295830085954798550344668103615077984505333957582635548520443678902653463590188983561435405444065624749871952902525348278472891901829456399942539231784574379989426856713156811891720326894031881692266659868465452442368343821612340901332427362613687528510663947520955851<267>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	918	118	Makoto Kamada	December 7, 2011 14:00:00 UTC 2011 年 12 月 7 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	918	800	Serge Batalov	December 7, 2011 18:50:50 UTC 2011 年 12 月 8 日 (木) 3 時 50 分 50 秒 (日本時間)
40	3e6	0		-	-
45	11e6	4442	640	Dmitry Domanov	December 11, 2011 09:13:33 UTC 2011 年 12 月 11 日 (日) 18 時 13 分 33 秒 (日本時間)
45	11e6	4442	3802	Thomas Kozlowski	November 2, 2024 00:13:12 UTC 2024 年 11 月 2 日 (土) 9 時 13 分 12 秒 (日本時間)
50	43e6	0 / 6491		-	-
55	11e7	25 / 17491		Alfred Reich	February 16, 2015 22:11:55 UTC 2015 年 2 月 17 日 (火) 7 時 11 分 55 秒 (日本時間)

10²⁸³+72×10¹⁴¹-19

c252

name 名前	Serge Batalov
date 日付	December 7, 2011 18:49:56 UTC 2011 年 12 月 8 日 (木) 3 時 49 分 56 秒 (日本時間)
composite number 合成数	152264644120116858282710221906079355571143294395025684582321387617905170845653201099669823225174512562151232353281865662911932832101009627580718227278586862633252313476145657925679235440283665531630941519487126160005470145357353658012957915698724084149<252>
prime factors 素因数	9524303493415816732805275971790193<34> 15986958440097790094292937875707119530488025116152441800716515073998814760727138995864291568416785264394888783197292767933568772443299534091830429118719890201635558904858718011782627862925017330381373095645371093583493<218>
factorization results 素因数分解の結果	Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=262610489 Step 1 took 8429ms Step 2 took 4688ms ********** Factor found in step 2: 9524303493415816732805275971790193 Found probable prime factor of 34 digits: 9524303493415816732805275971790193 Probable prime cofactor ((10^283+10^141*72-1)/9/3/7/37946291/9157349528504558869349)/9524303493415816732805275971790193 has 218 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	918	118	Makoto Kamada	December 7, 2011 14:00:00 UTC 2011 年 12 月 7 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	918	800	Serge Batalov	December 7, 2011 18:50:50 UTC 2011 年 12 月 8 日 (木) 3 時 50 分 50 秒 (日本時間)

10²⁸⁵+72×10¹⁴²-19

c250

name 名前	Serge Batalov
date 日付	December 7, 2011 18:46:42 UTC 2011 年 12 月 8 日 (木) 3 時 46 分 42 秒 (日本時間)
composite number 合成数	5081603002668915212092575571065947332387627502887556473813473322791991532680067799212825089876550300065949022234966089788278090806303309781031547672838879300856377426950257161999214597819095144889701767583287489241626384435537361402699908509597936639<250>
prime factors 素因数	335484553192786689753228952679977<33>
composite cofactor 合成数の残り	15147055070964070901504522852697314598292084378924805183496866266327423690417564676095399540368833352632775845919511735750977705605971870043798381710478992956592527045328705991811776865844929376783192344125617668818407<218>
factorization results 素因数分解の結果	Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3481554341 Step 1 took 7208ms Step 2 took 4481ms ********** Factor found in step 2: 335484553192786689753228952679977 Found probable prime factor of 33 digits: 335484553192786689753228952679977 Composite cofactor ((10^285+10^142*72-1)/9/167/1742810549269/75125972389320369763)/335484553192786689753228952679977 has 218 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	918	118	Makoto Kamada	December 7, 2011 14:00:00 UTC 2011 年 12 月 7 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	918	800	Serge Batalov	December 7, 2011 18:50:50 UTC 2011 年 12 月 8 日 (木) 3 時 50 分 50 秒 (日本時間)
40	3e6	0		-	-
45	11e6	4622	620	Dmitry Domanov	December 14, 2011 20:08:43 UTC 2011 年 12 月 15 日 (木) 5 時 8 分 43 秒 (日本時間)
45	11e6	4622	4002	Thomas Kozlowski	November 2, 2024 01:43:15 UTC 2024 年 11 月 2 日 (土) 10 時 43 分 15 秒 (日本時間)

10²⁸⁷+72×10¹⁴³-19

c280

composite cofactor 合成数の残り

2438225068703696429665582071009355201383858525794019575192435084878637712939033815767860102252819996254398649457381544747732822515428539634116708227432075255524158531345858056630751855227168088627335609318905965485802568967573337726039617109912821018845992463787664146492853403839<280>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	918	118	Makoto Kamada	December 7, 2011 14:00:00 UTC 2011 年 12 月 7 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	918	800	Serge Batalov	December 7, 2011 18:51:21 UTC 2011 年 12 月 8 日 (木) 3 時 51 分 21 秒 (日本時間)
40	3e6	0		-	-
45	11e6	640		Dmitry Domanov	December 11, 2011 09:13:01 UTC 2011 年 12 月 11 日 (日) 18 時 13 分 1 秒 (日本時間)
50	43e6	1080	540	Dmitry Domanov	December 16, 2011 22:41:27 UTC 2011 年 12 月 17 日 (土) 7 時 41 分 27 秒 (日本時間)
50	43e6	1080	540	Dmitry Domanov	December 19, 2011 21:15:40 UTC 2011 年 12 月 20 日 (火) 6 時 15 分 40 秒 (日本時間)
55	11e7	2635 / 17341		yoyo@home	September 5, 2012 21:40:08 UTC 2012 年 9 月 6 日 (木) 6 時 40 分 8 秒 (日本時間)
60	26e7	1 / 40885		Dmitry Domanov	December 20, 2011 19:40:49 UTC 2011 年 12 月 21 日 (水) 4 時 40 分 49 秒 (日本時間)

10²⁹³+72×10¹⁴⁶-19

c243

name 名前	Dmitry Domanov
date 日付	December 12, 2011 06:35:21 UTC 2011 年 12 月 12 日 (月) 15 時 35 分 21 秒 (日本時間)
composite number 合成数	115267957882096868683650167925142097354646017255035472601505766158041792522725041629331644150285103290998820124545635471488250847374726955416934837404132979764602145116614712972611313466791644025698336100853238123263296990138774471942232227057<243>
prime factors 素因数	800188895640859840175106445232997893<36> 144050934110726955380172955301879214898101819953613628018676072894406071932837227989632985594383879172158496181058504467645071380938967425758495562710202299566629920197643720244671077539215665665868779537149<207>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3339353465 Step 1 took 211089ms Step 2 took 50561ms ********** Factor found in step 2: 800188895640859840175106445232997893 Found probable prime factor of 36 digits: 800188895640859840175106445232997893

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	918	118	Makoto Kamada	December 7, 2011 14:00:00 UTC 2011 年 12 月 7 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	918	800	Serge Batalov	December 7, 2011 18:50:50 UTC 2011 年 12 月 8 日 (木) 3 時 50 分 50 秒 (日本時間)
40	3e6	0		-	-
45	11e6	640 / 4438		Dmitry Domanov	December 11, 2011 09:15:07 UTC 2011 年 12 月 11 日 (日) 18 時 15 分 7 秒 (日本時間)

10²⁹⁵+72×10¹⁴⁷-19

c275

composite cofactor 合成数の残り

51257537355547604042898832292299379673752070885023887341126108180710174287836494005703786977012988227373096420677816748094897544300579957103929105305929750751084732565775935879254156667010619812113599746446019018321692238454500930316392098252141935959634493682490404970922759<275>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	918	118	Makoto Kamada	December 7, 2011 14:00:00 UTC 2011 年 12 月 7 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	918	800	Serge Batalov	December 7, 2011 18:50:50 UTC 2011 年 12 月 8 日 (木) 3 時 50 分 50 秒 (日本時間)
40	3e6	0		-	-
45	11e6	4444	640	Dmitry Domanov	December 11, 2011 09:12:28 UTC 2011 年 12 月 11 日 (日) 18 時 12 分 28 秒 (日本時間)
45	11e6	4444	3804	Thomas Kozlowski	November 2, 2024 03:44:26 UTC 2024 年 11 月 2 日 (土) 12 時 44 分 26 秒 (日本時間)

10²⁹⁷+72×10¹⁴⁸-19

c235

composite cofactor 合成数の残り

7663383754251302619096919256799402679542676874625557552068435977043971526583781082360294443185291117415387484894532948353060767865745429996906829155717917060060969233962162955227506106301235808060686620055057733847131208738501858195631<235>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	918	118	Makoto Kamada	December 7, 2011 14:00:00 UTC 2011 年 12 月 7 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	918	800	Serge Batalov	December 7, 2011 18:50:50 UTC 2011 年 12 月 8 日 (木) 3 時 50 分 50 秒 (日本時間)
40	3e6	0		-	-
45	11e6	4610	610	Dmitry Domanov	December 13, 2011 17:38:38 UTC 2011 年 12 月 14 日 (水) 2 時 38 分 38 秒 (日本時間)
45	11e6	4610	4000	Thomas Kozlowski	November 2, 2024 05:26:32 UTC 2024 年 11 月 2 日 (土) 14 時 26 分 32 秒 (日本時間)

10²⁹⁹+72×10¹⁴⁹-19

c245

composite cofactor 合成数の残り

12878456849419188158458508597353068522479324400717929465794091836531902845878209232338974486831978658442574095227248984661421992393795888323611183754321355659673945474540234495462577566965011654623873881999886367649735083278320510396473508014667<245>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	918	118	Makoto Kamada	December 7, 2011 14:00:00 UTC 2011 年 12 月 7 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	918	800	Serge Batalov	December 7, 2011 18:50:50 UTC 2011 年 12 月 8 日 (木) 3 時 50 分 50 秒 (日本時間)
40	3e6	0		-	-
45	11e6	3739	620	Dmitry Domanov	December 13, 2011 17:37:35 UTC 2011 年 12 月 14 日 (水) 2 時 37 分 35 秒 (日本時間)
45	11e6	3739	3119	Erik Branger	December 19, 2021 07:55:06 UTC 2021 年 12 月 19 日 (日) 16 時 55 分 6 秒 (日本時間)
50	43e6	200 / 6709		Alfred Reich	February 16, 2015 17:34:47 UTC 2015 年 2 月 17 日 (火) 2 時 34 分 47 秒 (日本時間)

10³⁰¹+72×10¹⁵⁰-19

c271

composite cofactor 合成数の残り

8377134142707078238691725266991343082977169928250427136740405610452351594613405361815089722529637310639460690954760866444599576516195889352956033548586373594271814056272649925269848279196710849211522997668490605311745377332590344517497773197682515527873131453354495028049<271>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	918	118	Makoto Kamada	December 7, 2011 14:00:00 UTC 2011 年 12 月 7 日 (水) 23 時 0 分 0 秒 (日本時間)
35	1e6	918	800	Serge Batalov	December 7, 2011 18:50:50 UTC 2011 年 12 月 8 日 (木) 3 時 50 分 50 秒 (日本時間)
40	3e6	0		-	-
45	11e6	640		Dmitry Domanov	December 11, 2011 09:11:29 UTC 2011 年 12 月 11 日 (日) 18 時 11 分 29 秒 (日本時間)
50	43e6	1120	400	Dmitry Domanov	December 13, 2011 20:06:44 UTC 2011 年 12 月 14 日 (水) 5 時 6 分 44 秒 (日本時間)
			400	Dmitry Domanov	December 14, 2011 22:16:02 UTC 2011 年 12 月 15 日 (木) 7 時 16 分 2 秒 (日本時間)
			320	Dmitry Domanov	December 16, 2011 22:37:03 UTC 2011 年 12 月 17 日 (土) 7 時 37 分 3 秒 (日本時間)
55	11e7	2620 / 17329		yoyo@home	September 5, 2012 23:45:08 UTC 2012 年 9 月 6 日 (木) 8 時 45 分 8 秒 (日本時間)