Contributed factorization results of 1911...11

Table of contents 目次

172×10⁹⁷-19
- c95
- ECM
172×10¹⁰⁸-19
- c100
- ECM
172×10¹¹¹-19
- c104
- ECM
172×10¹²⁴-19
- c126
- ECM
172×10¹²⁷-19
- c111
- ECM
172×10¹²⁹-19
- c122
- ECM
172×10¹³⁰-19
- c96
- ECM
172×10¹³¹-19
- c106
- ECM
172×10¹³²-19
- c112
- ECM
172×10¹³³-19
- c119
- ECM
172×10¹³⁷-19
- c129
- c98
- ECM
172×10¹³⁸-19
- c137
- ECM
172×10¹⁴⁰-19
- c112
- ECM
172×10¹⁴¹-19
- c105
- ECM
172×10¹⁴²-19
- c139
- ECM
172×10¹⁴³-19
- c132
- ECM
172×10¹⁴⁴-19
- c120
- ECM
172×10¹⁴⁵-19
- c118
- ECM
172×10¹⁵²-19
- c128
- ECM
172×10¹⁵³-19
- c142
- ECM
172×10¹⁵⁴-19
- c106
- ECM
172×10¹⁵⁵-19
- c119
- ECM
172×10¹⁵⁸-19
- c126
- ECM
172×10¹⁵⁹-19
- c130
- ECM
172×10¹⁶⁰-19
- c113
- ECM
172×10¹⁶²-19
- c143
- ECM
172×10¹⁶⁴-19
- c160
- c126
- ECM
172×10¹⁶⁶-19
- c136
- ECM
172×10¹⁶⁷-19
- c142
- ECM
172×10¹⁷⁰-19
- c168
- ECM
172×10¹⁷¹-19
- c163
- ECM
172×10¹⁷⁶-19
- c135
- ECM
172×10¹⁷⁹-19
- c168
- c135
- ECM
172×10¹⁸⁰-19
- c151
- ECM
172×10¹⁸¹-19
- c160
- ECM
172×10¹⁸²-19
- c177
- ECM
172×10¹⁸³-19
- c158
- ECM
172×10¹⁸⁴-19
- c181
- ECM
172×10¹⁸⁵-19
- c186
- ECM
172×10¹⁸⁷-19
- c152
- ECM
172×10¹⁹²-19
- c169
- c95
- ECM
172×10¹⁹⁴-19
- c137
- ECM
172×10¹⁹⁵-19
- c195
- ECM
172×10¹⁹⁶-19
- c150
- ECM
172×10¹⁹⁸-19
- c124
- ECM
172×10¹⁹⁹-19
- c177
- ECM
172×10²⁰⁰-19
- c162
- c132
- ECM
172×10²⁰⁴-19
- c173
- ECM
172×10²⁰⁶-19
- c153
- c119
- ECM
172×10²⁰⁸-19
- c190
- ECM
172×10²⁰⁹-19
- c169
- ECM
172×10²¹⁰-19
- c162
- ECM
172×10²¹¹-19
- c163
- c129
- ECM
172×10²¹³-19
- c202
- ECM
172×10²¹⁴-19
- c180
- ECM
172×10²¹⁵-19
- c196
- ECM
172×10²¹⁸-19
- c180
- ECM
172×10²¹⁹-19
- c197
- ECM
172×10²²¹-19
- c208
- ECM
172×10²²²-19
- c220
- ECM
172×10²²³-19
- c208
- ECM
172×10²²⁴-19
- c210
- ECM
172×10²²⁵-19
- c200
- ECM
172×10²²⁶-19
- c173
- c141
- ECM
172×10²²⁷-19
- c210
- ECM
172×10²²⁸-19
- c187
- ECM
172×10²²⁹-19
- c203
- ECM
172×10²³²-19
- c230
- ECM
172×10²³³-19
- c170
- ECM
172×10²³⁶-19
- c192
- c160
- ECM
172×10²³⁸-19
- c240
- ECM
172×10²³⁹-19
- c211
- ECM
172×10²⁴⁰-19
- c210
- ECM
172×10²⁴¹-19
- c224
- ECM
172×10²⁴³-19
- c207
- c176
- ECM
172×10²⁴⁴-19
- c200
- ECM
172×10²⁴⁵-19
- c157
- ECM
172×10²⁴⁶-19
- c204
- ECM
172×10²⁴⁷-19
- c196
- ECM
172×10²⁴⁸-19
- c218
- ECM
172×10²⁴⁹-19
- c235
- ECM
172×10²⁵³-19
- c224
- ECM
172×10²⁵⁴-19
- c229
- ECM
172×10²⁵⁵-19
- c242
- ECM
172×10²⁵⁶-19
- c258
- ECM
172×10²⁵⁷-19
- c187
- c148
- ECM
172×10²⁵⁸-19
- c247
- ECM
172×10²⁵⁹-19
- c202
- ECM
172×10²⁶⁰-19
- c175
- ECM
172×10²⁶¹-19
- c261
- ECM
172×10²⁶²-19
- c228
- ECM
172×10²⁶³-19
- c246
- ECM
172×10²⁶⁴-19
- c175
- ECM
172×10²⁶⁷-19
- c234
- ECM
172×10²⁶⁸-19
- c259
- ECM
172×10²⁶⁹-19
- c224
- ECM
172×10²⁷⁰-19
- c224
- ECM
172×10²⁷¹-19
- c243
- ECM
172×10²⁷²-19
- c271
- ECM
172×10²⁷³-19
- c275
- ECM
172×10²⁷⁴-19
- c208
- ECM
172×10²⁷⁵-19
- c256
- ECM
172×10²⁷⁶-19
- c226
- ECM
172×10²⁷⁷-19
- c234
- ECM
172×10²⁷⁸-19
- c231
- ECM
172×10²⁷⁹-19
- c254
- ECM
172×10²⁸¹-19
- c271
- ECM
172×10²⁸²-19
- c249
- ECM
172×10²⁸³-19
- c271
- ECM
172×10²⁸⁵-19
- c276
- ECM
172×10²⁸⁶-19
- c204
- ECM
172×10²⁸⁷-19
- c263
- ECM
172×10²⁸⁸-19
- c279
- ECM
172×10²⁸⁹-19
- c291
- ECM
172×10²⁹⁰-19
- c238
- ECM
172×10²⁹¹-19
- c282
- ECM
172×10²⁹²-19
- c208
- ECM
172×10²⁹³-19
- c220
- ECM
172×10²⁹⁶-19
- c265
- ECM
172×10²⁹⁷-19
- c244
- ECM
172×10²⁹⁸-19
- c202
- ECM
172×10³⁰⁰-19
- c276
- ECM

172×10⁹⁷-19

c95

name 名前	Dmitry Domanov
date 日付	December 6, 2014 14:55:42 UTC 2014 年 12 月 6 日 (土) 23 時 55 分 42 秒 (日本時間)
composite number 合成数	25941510942189644510806449180278418774414430719575283169690662564288192087839162632158424204033<95>
prime factors 素因数	17992589607684034382176133510285539125437237<44> 1441788620083397621777319861528961269317294234119709<52>
factorization results 素因数分解の結果	N=25941510942189644510806449180278418774414430719575283169690662564288192087839162632158424204033 ( 95 digits) SNFS difficulty: 99 digits. Divisors found: r1=17992589607684034382176133510285539125437237 (pp44) r2=1441788620083397621777319861528961269317294234119709 (pp52) Version: Msieve v. 1.50 (SVN unknown) Total time: 0.11 hours. Scaled time: 0.24 units (timescale=2.151). Factorization parameters were as follows: n: 25941510942189644510806449180278418774414430719575283169690662564288192087839162632158424204033 m: 1000000000000000000000000 deg: 4 c4: 1720 c0: -1 skew: 0.16 # Murphy_E = 3.426e-07 type: snfs lss: 1 rlim: 320000 alim: 320000 lpbr: 24 lpba: 24 mfbr: 43 mfba: 43 rlambda: 2.1 alambda: 2.1 Factor base limits: 320000/320000 Large primes per side: 3 Large prime bits: 24/24 Max factor residue bits: 43/43 Sieved rational special-q in [160000, 240001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 28170 x 28396 Total sieving time: 0.10 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,99.0000,4,0,0,0,0,0,0,0,0,320000,320000,24,24,43,43,2.1,2.1,10000 total time: 0.11 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

172×10¹⁰⁸-19

c100

name 名前	Dmitry Domanov
date 日付	December 6, 2014 16:54:47 UTC 2014 年 12 月 7 日 (日) 1 時 54 分 47 秒 (日本時間)
composite number 合成数	7693774362088538706730905930533167057968877169626214814379469451327132838001045526411425101911054167<100>
prime factors 素因数	154675204266341139789203248169584525564607<42> 49741485059494958747087828475361190157430660952435849503081<59>
factorization results 素因数分解の結果	N=7693774362088538706730905930533167057968877169626214814379469451327132838001045526411425101911054167 ( 100 digits) SNFS difficulty: 110 digits. Divisors found: r1=154675204266341139789203248169584525564607 (pp42) r2=49741485059494958747087828475361190157430660952435849503081 (pp59) Version: Msieve v. 1.50 (SVN unknown) Total time: 0.38 hours. Scaled time: 0.72 units (timescale=1.911). Factorization parameters were as follows: n: 7693774362088538706730905930533167057968877169626214814379469451327132838001045526411425101911054167 m: 2000000000000000000000 deg: 5 c5: 5375 c0: -1 skew: 0.18 # Murphy_E = 3.381e-08 type: snfs lss: 1 rlim: 480000 alim: 480000 lpbr: 25 lpba: 25 mfbr: 44 mfba: 44 rlambda: 2.2 alambda: 2.2 Factor base limits: 480000/480000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved rational special-q in [240000, 490001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 54392 x 54617 Total sieving time: 0.35 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.01 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,110.000,5,0,0,0,0,0,0,0,0,480000,480000,25,25,44,44,2.2,2.2,50000 total time: 0.38 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

172×10¹¹¹-19

c104

name 名前	KTakahashi
date 日付	December 6, 2014 17:43:06 UTC 2014 年 12 月 7 日 (日) 2 時 43 分 6 秒 (日本時間)
composite number 合成数	67782519287168083667917010997431195817853554677733310514111764659521798795346289149293012895430010767399<104>
prime factors 素因数	242850745308769034206914372197450818155055338029<48> 279111843782842787768172116232074123658428095764668906531<57>
factorization results 素因数分解の結果	Number: 19111_111 N=67782519287168083667917010997431195817853554677733310514111764659521798795346289149293012895430010767399 ( 104 digits) SNFS difficulty: 113 digits. Divisors found: r1=242850745308769034206914372197450818155055338029 (pp48) r2=279111843782842787768172116232074123658428095764668906531 (pp57) Version: Msieve v. 1.51 (SVN Official Release) Total time: 1.78 hours. Scaled time: 3.42 units (timescale=1.925). Factorization parameters were as follows: n: 67782519287168083667917010997431195817853554677733310514111764659521798795346289149293012895430010767399 m: 20000000000000000000000 c5: 215 c0: -4 skew: 0.45 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved rational special-q in [300000, 500001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 67850 x 68075 Total sieving time: 1.75 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.02 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,113.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 1.78 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

172×10¹²⁴-19

c126

name 名前	Dmitry Domanov
date 日付	December 6, 2014 19:03:18 UTC 2014 年 12 月 7 日 (日) 4 時 3 分 18 秒 (日本時間)
composite number 合成数	191111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<126>
prime factors 素因数	118388521475805462080824395028524506293480086411334899091<57> 1614270612798958239074607810648378323259199828033180397592657602532221<70>
factorization results 素因数分解の結果	N=191111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 ( 126 digits) SNFS difficulty: 126 digits. Divisors found: r1=118388521475805462080824395028524506293480086411334899091 (pp57) r2=1614270612798958239074607810648378323259199828033180397592657602532221 (pp70) Version: Msieve v. 1.50 (SVN unknown) Total time: 1.13 hours. Scaled time: 2.41 units (timescale=2.145). Factorization parameters were as follows: n: 191111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 m: 10000000000000000000000000 deg: 5 c5: 86 c0: -5 skew: 0.57 # Murphy_E = 1.057e-08 type: snfs lss: 1 rlim: 910000 alim: 910000 lpbr: 26 lpba: 26 mfbr: 46 mfba: 46 rlambda: 2.3 alambda: 2.3 Factor base limits: 910000/910000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 46/46 Sieved rational special-q in [455000, 705001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 139888 x 140125 Total sieving time: 1.03 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.06 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,126.000,5,0,0,0,0,0,0,0,0,910000,910000,26,26,46,46,2.3,2.3,50000 total time: 1.13 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

172×10¹²⁷-19

c111

name 名前	Dmitry Domanov
date 日付	December 8, 2014 08:53:34 UTC 2014 年 12 月 8 日 (月) 17 時 53 分 34 秒 (日本時間)
composite number 合成数	373236907806830817667367526974210208972662791454120715206672441729084847487003980026429743215260529827807577841<111>
prime factors 素因数	48751523465258843536172530808873207319151<41> 7655902447290815895435501535985183710731363320607152462515482936620191<70>
factorization results 素因数分解の結果	N=373236907806830817667367526974210208972662791454120715206672441729084847487003980026429743215260529827807577841 ( 111 digits) SNFS difficulty: 129 digits. Divisors found: r1=48751523465258843536172530808873207319151 (pp41) r2=7655902447290815895435501535985183710731363320607152462515482936620191 (pp70) Version: Msieve v. 1.50 (SVN unknown) Total time: 1.93 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 373236907806830817667367526974210208972662791454120715206672441729084847487003980026429743215260529827807577841 m: 20000000000000000000000000 deg: 5 c5: 1075 c0: -2 skew: 0.28 # Murphy_E = 8.175e-09 type: snfs lss: 1 rlim: 1010000 alim: 1010000 lpbr: 26 lpba: 26 mfbr: 47 mfba: 47 rlambda: 2.3 alambda: 2.3 Factor base limits: 1010000/1010000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 47/47 Sieved rational special-q in [505000, 855001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 127365 x 127598 Total sieving time: 1.81 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.04 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,129.000,5,0,0,0,0,0,0,0,0,1010000,1010000,26,26,47,47,2.3,2.3,50000 total time: 1.93 hours.

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

172×10¹²⁹-19

c122

name 名前	Dmitry Domanov
date 日付	December 8, 2014 12:31:33 UTC 2014 年 12 月 8 日 (月) 21 時 31 分 33 秒 (日本時間)
composite number 合成数	66572441812950386106286805583202955173295743157617761260876288646965332028971739910590261331215685634011878790952942792273<122>
prime factors 素因数	31306834788053655145820978372973916912066102224439714405439<59> 2126450733957739473859811924212942470404523140200080989449277807<64>
factorization results 素因数分解の結果	N=66572441812950386106286805583202955173295743157617761260876288646965332028971739910590261331215685634011878790952942792273 ( 122 digits) SNFS difficulty: 131 digits. Divisors found: r1=31306834788053655145820978372973916912066102224439714405439 (pp59) r2=2126450733957739473859811924212942470404523140200080989449277807 (pp64) Version: Msieve v. 1.50 (SVN unknown) Total time: 1.96 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 66572441812950386106286805583202955173295743157617761260876288646965332028971739910590261331215685634011878790952942792273 m: 100000000000000000000000000 deg: 5 c5: 86 c0: -5 skew: 0.57 # Murphy_E = 6.993e-09 type: snfs lss: 1 rlim: 1110000 alim: 1110000 lpbr: 26 lpba: 26 mfbr: 47 mfba: 47 rlambda: 2.3 alambda: 2.3 Factor base limits: 1110000/1110000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 47/47 Sieved rational special-q in [555000, 905001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 176603 x 176828 Total sieving time: 1.82 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.09 hours. Time per square root: 0.03 hours. Prototype def-par.txt line would be: snfs,131.000,5,0,0,0,0,0,0,0,0,1110000,1110000,26,26,47,47,2.3,2.3,50000 total time: 1.96 hours.

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

172×10¹³⁰-19

c96

name 名前	Dmitry Domanov
date 日付	December 8, 2014 09:53:37 UTC 2014 年 12 月 8 日 (月) 18 時 53 分 37 秒 (日本時間)
composite number 合成数	172050172483218103200850276021599116135181865239941397167778725336481896824251966339480154092613<96>
prime factors 素因数	11848158969737650736614885551450589<35> 14521257937428547561441092128790046640580458305735270015873417<62>
factorization results 素因数分解の結果	N=172050172483218103200850276021599116135181865239941397167778725336481896824251966339480154092613 ( 96 digits) Divisors found: r1=11848158969737650736614885551450589 (pp35) r2=14521257937428547561441092128790046640580458305735270015873417 (pp62) Version: Msieve v. 1.50 (SVN unknown) Total time: 2.35 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 172050172483218103200850276021599116135181865239941397167778725336481896824251966339480154092613 skew: 214598.55 c0: -2644770754969658060965387 c1: 228968069156321539367 c2: 2000938410387249 c3: -6800036925 c4: 12300 Y0: -61155783026157892478704 Y1: 31517852977 rlim: 1560000 alim: 1560000 lpbr: 25 lpba: 25 mfbr: 50 mfba: 50 rlambda: 2.5 alambda: 2.5 type: gnfs Factor base limits: 1560000/1560000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 50/50 Sieved algebraic special-q in [780000, 1020001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 151343 x 151569 Total sieving time: 2.24 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.06 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: gnfs,95,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1560000,1560000,25,25,50,50,2.5,2.5,60000 total time: 2.35 hours.

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

172×10¹³¹-19

c106

name 名前	KTakahashi
date 日付	December 6, 2014 19:19:14 UTC 2014 年 12 月 7 日 (日) 4 時 19 分 14 秒 (日本時間)
composite number 合成数	3147714079136689926626101852383652784521479653570056020145520123860939100848330211059973746236234436988407<106>
prime factors 素因数	630952903152710593743725484765331<33> 4988825732330204346421685674760071711973539331673374663092446091353792397<73>
factorization results 素因数分解の結果	Input number is 3147714079136689926626101852383652784521479653570056020145520123860939100848330211059973746236234436988407 (106 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=608432815 Step 1 took 3136ms Step 2 took 2075ms ********** Factor found in step 2: 630952903152710593743725484765331 Found probable prime factor of 33 digits: 630952903152710593743725484765331 Probable prime cofactor 4988825732330204346421685674760071711973539331673374663092446091353792397 has 73 digits
software ソフトウェア	GMP-ECM 6.4.4

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

172×10¹³²-19

c112

name 名前	Dmitry Domanov
date 日付	December 8, 2014 13:06:06 UTC 2014 年 12 月 8 日 (月) 22 時 6 分 6 秒 (日本時間)
composite number 合成数	5192328334537980742852731151946989226289226858760405964007304549115144872897231389161410614680669086744325400619<112>
prime factors 素因数	14641028177112338326235737210856053879290869<44> 354642329194811221568393730296015500565051912900808246833511314382751<69>
factorization results 素因数分解の結果	N=5192328334537980742852731151946989226289226858760405964007304549115144872897231389161410614680669086744325400619 ( 112 digits) SNFS difficulty: 134 digits. Divisors found: r1=14641028177112338326235737210856053879290869 (pp44) r2=354642329194811221568393730296015500565051912900808246833511314382751 (pp69) Version: Msieve v. 1.50 (SVN unknown) Total time: 2.04 hours. Scaled time: 4.37 units (timescale=2.142). Factorization parameters were as follows: n: 5192328334537980742852731151946989226289226858760405964007304549115144872897231389161410614680669086744325400619 m: 200000000000000000000000000 deg: 5 c5: 1075 c0: -2 skew: 0.28 # Murphy_E = 5.393e-09 type: snfs lss: 1 rlim: 1220000 alim: 1220000 lpbr: 26 lpba: 26 mfbr: 47 mfba: 47 rlambda: 2.3 alambda: 2.3 Factor base limits: 1220000/1220000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 47/47 Sieved rational special-q in [610000, 1060001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 181931 x 182156 Total sieving time: 1.91 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.09 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,134.000,5,0,0,0,0,0,0,0,0,1220000,1220000,26,26,47,47,2.3,2.3,75000 total time: 2.04 hours.

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

172×10¹³³-19

c119

name 名前	Dmitry Domanov
date 日付	December 8, 2014 14:56:49 UTC 2014 年 12 月 8 日 (月) 23 時 56 分 49 秒 (日本時間)
composite number 合成数	28192660419358805418980955658947387138610461160532896089085290197076293540429942763562453877727102071871666962387968997<119>
prime factors 素因数	130986473098183159472732675430750369559997<42> 215233372977578477405596044464687583557211217935115052971046945239703767197001<78>
factorization results 素因数分解の結果	N=28192660419358805418980955658947387138610461160532896089085290197076293540429942763562453877727102071871666962387968997 ( 119 digits) SNFS difficulty: 135 digits. Divisors found: r1=130986473098183159472732675430750369559997 (pp42) r2=215233372977578477405596044464687583557211217935115052971046945239703767197001 (pp78) Version: Msieve v. 1.50 (SVN unknown) Total time: 3.05 hours. Scaled time: 6.52 units (timescale=2.135). Factorization parameters were as follows: n: 28192660419358805418980955658947387138610461160532896089085290197076293540429942763562453877727102071871666962387968997 m: 200000000000000000000000000 deg: 5 c5: 5375 c0: -1 skew: 0.18 # Murphy_E = 4.468e-09 type: snfs lss: 1 rlim: 1260000 alim: 1260000 lpbr: 26 lpba: 26 mfbr: 47 mfba: 47 rlambda: 2.3 alambda: 2.3 Factor base limits: 1260000/1260000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 47/47 Sieved rational special-q in [630000, 1230001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 186691 x 186916 Total sieving time: 2.87 hours. Total relation processing time: 0.04 hours. Matrix solve time: 0.12 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,135.000,5,0,0,0,0,0,0,0,0,1260000,1260000,26,26,47,47,2.3,2.3,75000 total time: 3.05 hours.

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

172×10¹³⁷-19

c129

name 名前	Ignacio Santos
date 日付	December 9, 2014 19:49:23 UTC 2014 年 12 月 10 日 (水) 4 時 49 分 23 秒 (日本時間)
composite number 合成数	446035781550482073272343013085350660121664469069505802439377868351069076287252665132755267158766840234937961571776711999187355377<129>
prime factors 素因数	21155055744278356237822322668981<32>
composite cofactor 合成数の残り	21084122251538756159215099337825877732529947093723935702322145805096817836966669533020375730016717<98>
factorization results 素因数分解の結果	Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:997656511 Step 1 took 1500ms ********** Factor found in step 1: 21155055744278356237822322668981 Found probable prime factor of 32 digits: 21155055744278356237822322668981 Composite cofactor 21084122251538756159215099337825877732529947093723935702322145805096817836966669533020375730016717 has 98 digits
software ソフトウェア	GMP-ECM 7.0

c98

name 名前	Dmitry Domanov
date 日付	December 10, 2014 20:51:20 UTC 2014 年 12 月 11 日 (木) 5 時 51 分 20 秒 (日本時間)
composite number 合成数	21084122251538756159215099337825877732529947093723935702322145805096817836966669533020375730016717<98>
prime factors 素因数	23529344742617095394378638588336429<35> 896077748112998883776964379416069145890685357071669646152400673<63>
factorization results 素因数分解の結果	N=21084122251538756159215099337825877732529947093723935702322145805096817836966669533020375730016717 ( 98 digits) Divisors found: r1=23529344742617095394378638588336429 (pp35) r2=896077748112998883776964379416069145890685357071669646152400673 (pp63) Version: Msieve v. 1.50 (SVN unknown) Total time: 2.96 hours. Scaled time: 6.35 units (timescale=2.144). Factorization parameters were as follows: n: 21084122251538756159215099337825877732529947093723935702322145805096817836966669533020375730016717 skew: 574717.01 c0: 226313527914329831306806145 c1: -1342487932040850180449 c2: -4720495283313953 c3: 10278875465 c4: 7224 Y0: -232429755711978381628836 Y1: 4094412355501 rlim: 1680000 alim: 1680000 lpbr: 26 lpba: 26 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5 type: gnfs Factor base limits: 1680000/1680000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 52/52 Sieved algebraic special-q in [840000, 1140001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 159291 x 159523 Total sieving time: 2.79 hours. Total relation processing time: 0.07 hours. Matrix solve time: 0.08 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: gnfs,97,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1680000,1680000,26,26,52,52,2.5,2.5,100000 total time: 2.96 hours.

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

172×10¹³⁸-19

c137

name 名前	Dmitry Domanov
date 日付	December 8, 2014 20:31:55 UTC 2014 年 12 月 9 日 (火) 5 時 31 分 55 秒 (日本時間)
composite number 合成数	84189916789035731767009300048947626040137053352912383749388154674498286833088595203132648066568771414586392559960841899167890357317670093<137>
prime factors 素因数	605400688703442112399337547243343412976299737<45> 139064785290121284834360909155808559698528984205261628675132114019054672971766972703130125589<93>
factorization results 素因数分解の結果	N=84189916789035731767009300048947626040137053352912383749388154674498286833088595203132648066568771414586392559960841899167890357317670093 ( 137 digits) SNFS difficulty: 140 digits. Divisors found: r1=605400688703442112399337547243343412976299737 (pp45) r2=139064785290121284834360909155808559698528984205261628675132114019054672971766972703130125589 (pp93) Version: Msieve v. 1.50 (SVN unknown) Total time: 3.85 hours. Scaled time: 7.85 units (timescale=2.037). Factorization parameters were as follows: n: 84189916789035731767009300048947626040137053352912383749388154674498286833088595203132648066568771414586392559960841899167890357317670093 m: 2000000000000000000000000000 deg: 5 c5: 5375 c0: -1 skew: 0.18 # Murphy_E = 2.929e-09 type: snfs lss: 1 rlim: 1520000 alim: 1520000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 Factor base limits: 1520000/1520000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved rational special-q in [760000, 1660001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 236740 x 236965 Total sieving time: 3.75 hours. Total relation processing time: 0.04 hours. Matrix solve time: 0.05 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,140.000,5,0,0,0,0,0,0,0,0,1520000,1520000,26,26,48,48,2.3,2.3,75000 total time: 3.85 hours.

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

172×10¹⁴⁰-19

c112

name 名前	Cyp
date 日付	December 13, 2014 20:36:21 UTC 2014 年 12 月 14 日 (日) 5 時 36 分 21 秒 (日本時間)
composite number 合成数	4673978330203344873159335252440972010854383015691135963799311670932813704838412751536946745182382845848147565011<112>
prime factors 素因数	1017704175976986719848686084475195309012714841<46> 4592668911588545205560748729570610420231438791337723537230697199371<67>
factorization results 素因数分解の結果	12/13/14 20:42:47 v1.34.3, 12/13/14 20:42:47 v1.34.3, ************************** 12/13/14 20:42:47 v1.34.3, Starting factorization of 4673978330203344873159335252440972010854383015691135963799311670932813704838412751536946745182382845848147565011 12/13/14 20:42:47 v1.34.3, using pretesting plan: none 12/13/14 20:42:47 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 12/13/14 20:42:47 v1.34.3, ************************** 12/13/14 20:42:47 v1.34.3, nfs: commencing nfs on c112: 4673978330203344873159335252440972010854383015691135963799311670932813704838412751536946745182382845848147565011 12/13/14 20:42:47 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 12/13/14 20:42:47 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/13/14 20:43:07 v1.34.3, nfs: commencing lattice sieving with 8 threads [133 lines snipped] 12/13/14 21:31:32 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/13/14 21:31:53 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/13/14 21:32:14 v1.34.3, nfs: commencing msieve filtering 12/13/14 21:33:06 v1.34.3, nfs: commencing msieve linear algebra 12/13/14 21:35:22 v1.34.3, nfs: commencing msieve sqrt 12/13/14 21:36:20 v1.34.3, prp67 = 4592668911588545205560748729570610420231438791337723537230697199371 12/13/14 21:36:20 v1.34.3, prp46 = 1017704175976986719848686084475195309012714841 12/13/14 21:36:20 v1.34.3, NFS elapsed time = 3213.2660 seconds. 12/13/14 21:36:20 v1.34.3, 12/13/14 21:36:20 v1.34.3, 12/13/14 21:36:20 v1.34.3, Total factoring time = 3213.2668 seconds -- Sat Dec 13 21:32:14 2014 Sat Dec 13 21:32:14 2014 commencing relation filtering Sat Dec 13 21:32:14 2014 estimated available RAM is 15987.3 MB Sat Dec 13 21:32:14 2014 commencing duplicate removal, pass 1 Sat Dec 13 21:32:26 2014 found 759547 hash collisions in 4488938 relations Sat Dec 13 21:32:30 2014 added 178422 free relations Sat Dec 13 21:32:30 2014 commencing duplicate removal, pass 2 Sat Dec 13 21:32:34 2014 found 648084 duplicates and 4019276 unique relations Sat Dec 13 21:32:34 2014 memory use: 20.6 MB Sat Dec 13 21:32:34 2014 reading ideals above 100000 Sat Dec 13 21:32:34 2014 commencing singleton removal, initial pass Sat Dec 13 21:32:52 2014 memory use: 94.1 MB Sat Dec 13 21:32:52 2014 reading all ideals from disk Sat Dec 13 21:32:52 2014 memory use: 124.8 MB Sat Dec 13 21:32:52 2014 keeping 4499900 ideals with weight <= 200, target excess is 20228 Sat Dec 13 21:32:52 2014 commencing in-memory singleton removal Sat Dec 13 21:32:52 2014 begin with 4019276 relations and 4499900 unique ideals Sat Dec 13 21:32:54 2014 reduce to 1567104 relations and 1380922 ideals in 13 passes Sat Dec 13 21:32:54 2014 max relations containing the same ideal: 111 Sat Dec 13 21:32:55 2014 removing 357984 relations and 276625 ideals in 81359 cliques Sat Dec 13 21:32:55 2014 commencing in-memory singleton removal Sat Dec 13 21:32:55 2014 begin with 1209120 relations and 1380922 unique ideals Sat Dec 13 21:32:55 2014 reduce to 1150340 relations and 1041758 ideals in 8 passes Sat Dec 13 21:32:55 2014 max relations containing the same ideal: 87 Sat Dec 13 21:32:55 2014 removing 285087 relations and 203728 ideals in 81359 cliques Sat Dec 13 21:32:56 2014 commencing in-memory singleton removal Sat Dec 13 21:32:56 2014 begin with 865253 relations and 1041758 unique ideals Sat Dec 13 21:32:56 2014 reduce to 820615 relations and 790125 ideals in 8 passes Sat Dec 13 21:32:56 2014 max relations containing the same ideal: 70 Sat Dec 13 21:32:56 2014 relations with 0 large ideals: 481 Sat Dec 13 21:32:56 2014 relations with 1 large ideals: 217 Sat Dec 13 21:32:56 2014 relations with 2 large ideals: 3450 Sat Dec 13 21:32:56 2014 relations with 3 large ideals: 25784 Sat Dec 13 21:32:56 2014 relations with 4 large ideals: 95833 Sat Dec 13 21:32:56 2014 relations with 5 large ideals: 199240 Sat Dec 13 21:32:56 2014 relations with 6 large ideals: 249545 Sat Dec 13 21:32:56 2014 relations with 7+ large ideals: 246065 Sat Dec 13 21:32:56 2014 commencing 2-way merge Sat Dec 13 21:32:56 2014 reduce to 518621 relation sets and 488131 unique ideals Sat Dec 13 21:32:56 2014 commencing full merge Sat Dec 13 21:33:03 2014 memory use: 63.8 MB Sat Dec 13 21:33:03 2014 found 257626 cycles, need 248331 Sat Dec 13 21:33:03 2014 weight of 248331 cycles is about 17478629 (70.38/cycle) Sat Dec 13 21:33:03 2014 distribution of cycle lengths: Sat Dec 13 21:33:03 2014 1 relations: 13167 Sat Dec 13 21:33:03 2014 2 relations: 21327 Sat Dec 13 21:33:03 2014 3 relations: 25150 Sat Dec 13 21:33:03 2014 4 relations: 25111 Sat Dec 13 21:33:03 2014 5 relations: 24329 Sat Dec 13 21:33:03 2014 6 relations: 22681 Sat Dec 13 21:33:03 2014 7 relations: 20860 Sat Dec 13 21:33:03 2014 8 relations: 18517 Sat Dec 13 21:33:03 2014 9 relations: 16166 Sat Dec 13 21:33:03 2014 10+ relations: 61023 Sat Dec 13 21:33:03 2014 heaviest cycle: 20 relations Sat Dec 13 21:33:03 2014 commencing cycle optimization Sat Dec 13 21:33:04 2014 start with 1690921 relations Sat Dec 13 21:33:06 2014 pruned 52379 relations Sat Dec 13 21:33:06 2014 memory use: 50.3 MB Sat Dec 13 21:33:06 2014 distribution of cycle lengths: Sat Dec 13 21:33:06 2014 1 relations: 13167 Sat Dec 13 21:33:06 2014 2 relations: 21810 Sat Dec 13 21:33:06 2014 3 relations: 26081 Sat Dec 13 21:33:06 2014 4 relations: 25952 Sat Dec 13 21:33:06 2014 5 relations: 25247 Sat Dec 13 21:33:06 2014 6 relations: 23420 Sat Dec 13 21:33:06 2014 7 relations: 21572 Sat Dec 13 21:33:06 2014 8 relations: 18946 Sat Dec 13 21:33:06 2014 9 relations: 16362 Sat Dec 13 21:33:06 2014 10+ relations: 55774 Sat Dec 13 21:33:06 2014 heaviest cycle: 20 relations Sat Dec 13 21:33:06 2014 RelProcTime: 52 Sat Dec 13 21:33:06 2014 Sat Dec 13 21:33:06 2014 commencing linear algebra Sat Dec 13 21:33:06 2014 read 248331 cycles Sat Dec 13 21:33:06 2014 cycles contain 773641 unique relations Sat Dec 13 21:33:11 2014 read 773641 relations Sat Dec 13 21:33:11 2014 using 20 quadratic characters above 67107758 Sat Dec 13 21:33:13 2014 building initial matrix Sat Dec 13 21:33:19 2014 memory use: 92.2 MB Sat Dec 13 21:33:19 2014 read 248331 cycles Sat Dec 13 21:33:19 2014 matrix is 248195 x 248331 (73.9 MB) with weight 22398137 (90.19/col) Sat Dec 13 21:33:19 2014 sparse part has weight 16632169 (66.98/col) Sat Dec 13 21:33:20 2014 filtering completed in 2 passes Sat Dec 13 21:33:20 2014 matrix is 248012 x 248180 (73.8 MB) with weight 22390523 (90.22/col) Sat Dec 13 21:33:20 2014 sparse part has weight 16628062 (67.00/col) Sat Dec 13 21:33:20 2014 matrix starts at (0, 0) Sat Dec 13 21:33:20 2014 matrix is 248012 x 248180 (73.8 MB) with weight 22390523 (90.22/col) Sat Dec 13 21:33:20 2014 sparse part has weight 16628062 (67.00/col) Sat Dec 13 21:33:20 2014 saving the first 48 matrix rows for later Sat Dec 13 21:33:20 2014 matrix includes 64 packed rows Sat Dec 13 21:33:20 2014 matrix is 247964 x 248180 (69.7 MB) with weight 17674413 (71.22/col) Sat Dec 13 21:33:20 2014 sparse part has weight 15800604 (63.67/col) Sat Dec 13 21:33:20 2014 using block size 65536 for processor cache size 8192 kB Sat Dec 13 21:33:21 2014 commencing Lanczos iteration (8 threads) Sat Dec 13 21:33:21 2014 memory use: 66.4 MB Sat Dec 13 21:33:26 2014 linear algebra at 4.9%, ETA 0h 1m Sat Dec 13 21:35:22 2014 lanczos halted after 3922 iterations (dim = 247957) Sat Dec 13 21:35:22 2014 recovered 36 nontrivial dependencies Sat Dec 13 21:35:22 2014 BLanczosTime: 136 Sat Dec 13 21:35:22 2014 Sat Dec 13 21:35:22 2014 commencing square root phase Sat Dec 13 21:35:22 2014 reading relations for dependency 1 Sat Dec 13 21:35:22 2014 read 124276 cycles Sat Dec 13 21:35:22 2014 cycles contain 386920 unique relations Sat Dec 13 21:35:26 2014 read 386920 relations Sat Dec 13 21:35:27 2014 multiplying 386920 relations Sat Dec 13 21:35:33 2014 multiply complete, coefficients have about 10.00 million bits Sat Dec 13 21:35:33 2014 initial square root is modulo 562291 Sat Dec 13 21:35:41 2014 GCD is 1, no factor found Sat Dec 13 21:35:41 2014 reading relations for dependency 2 Sat Dec 13 21:35:41 2014 read 123636 cycles Sat Dec 13 21:35:41 2014 cycles contain 386456 unique relations Sat Dec 13 21:35:44 2014 read 386456 relations Sat Dec 13 21:35:45 2014 multiplying 386456 relations Sat Dec 13 21:35:52 2014 multiply complete, coefficients have about 9.99 million bits Sat Dec 13 21:35:52 2014 initial square root is modulo 552731 Sat Dec 13 21:36:00 2014 GCD is N, no factor found Sat Dec 13 21:36:00 2014 reading relations for dependency 3 Sat Dec 13 21:36:00 2014 read 124018 cycles Sat Dec 13 21:36:00 2014 cycles contain 386618 unique relations Sat Dec 13 21:36:03 2014 read 386618 relations Sat Dec 13 21:36:04 2014 multiplying 386618 relations Sat Dec 13 21:36:10 2014 multiply complete, coefficients have about 10.00 million bits Sat Dec 13 21:36:10 2014 initial square root is modulo 556651 Sat Dec 13 21:36:20 2014 sqrtTime: 58 -- n: 4673978330203344873159335252440972010854383015691135963799311670932813704838412751536946745182382845848147565011 m: 10000000000000000000000000000 deg: 5 c5: 172 c0: -1 skew: 0.36 # Murphy_E = 3.191e-09 type: snfs lss: 1 rlim: 1640000 alim: 1640000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3
software ソフトウェア	yafu v1.34.3
execution environment 実行環境	Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	418	118	Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
35	1e6	418	300	Ignacio Santos	December 10, 2014 16:36:53 UTC 2014 年 12 月 11 日 (木) 1 時 36 分 53 秒 (日本時間)
40	3e6	410 / 2126	110	Ignacio Santos	December 10, 2014 16:36:53 UTC 2014 年 12 月 11 日 (木) 1 時 36 分 53 秒 (日本時間)
40	3e6	410 / 2126	300	Serge Batalov	December 10, 2014 19:49:21 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 21 秒 (日本時間)
45	11e6	32 / 4371		Ignacio Santos	December 10, 2014 16:36:53 UTC 2014 年 12 月 11 日 (木) 1 時 36 分 53 秒 (日本時間)

172×10¹⁴¹-19

c105

name 名前	Cyp
date 日付	December 14, 2014 00:05:05 UTC 2014 年 12 月 14 日 (日) 9 時 5 分 5 秒 (日本時間)
composite number 合成数	486919208331770351898948992200607134998146948913917742872208134163220166336619013610059562100478150636829<105>
prime factors 素因数	21860140112377911075603125868485677454647<41> 22274294941781325081160996071048107045075287538633030286216376907<65>
factorization results 素因数分解の結果	12/14/14 00:09:09 v1.34.3, 12/14/14 00:09:09 v1.34.3, ************************** 12/14/14 00:09:09 v1.34.3, Starting factorization of 486919208331770351898948992200607134998146948913917742872208134163220166336619013610059562100478150636829 12/14/14 00:09:09 v1.34.3, using pretesting plan: none 12/14/14 00:09:09 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 12/14/14 00:09:09 v1.34.3, ************************** 12/14/14 00:09:09 v1.34.3, nfs: commencing nfs on c105: 486919208331770351898948992200607134998146948913917742872208134163220166336619013610059562100478150636829 12/14/14 00:09:09 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 12/14/14 00:09:09 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/14/14 00:09:21 v1.34.3, nfs: commencing lattice sieving with 8 threads [220 lines snipped] 12/14/14 01:01:20 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/14/14 01:01:34 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/14/14 01:01:48 v1.34.3, nfs: commencing msieve filtering 12/14/14 01:02:33 v1.34.3, nfs: commencing msieve linear algebra 12/14/14 01:04:43 v1.34.3, nfs: commencing msieve sqrt 12/14/14 01:05:04 v1.34.3, prp41 = 21860140112377911075603125868485677454647 12/14/14 01:05:04 v1.34.3, prp65 = 22274294941781325081160996071048107045075287538633030286216376907 12/14/14 01:05:04 v1.34.3, NFS elapsed time = 3355.6970 seconds. 12/14/14 01:05:04 v1.34.3, 12/14/14 01:05:04 v1.34.3, 12/14/14 01:05:04 v1.34.3, Total factoring time = 3355.6975 seconds -- Sun Dec 14 01:01:48 2014 Sun Dec 14 01:01:48 2014 commencing relation filtering Sun Dec 14 01:01:48 2014 estimated available RAM is 15987.3 MB Sun Dec 14 01:01:48 2014 commencing duplicate removal, pass 1 Sun Dec 14 01:01:59 2014 found 788449 hash collisions in 4479685 relations Sun Dec 14 01:02:03 2014 added 178106 free relations Sun Dec 14 01:02:03 2014 commencing duplicate removal, pass 2 Sun Dec 14 01:02:06 2014 found 689628 duplicates and 3968163 unique relations Sun Dec 14 01:02:06 2014 memory use: 20.6 MB Sun Dec 14 01:02:06 2014 reading ideals above 100000 Sun Dec 14 01:02:06 2014 commencing singleton removal, initial pass Sun Dec 14 01:02:22 2014 memory use: 94.1 MB Sun Dec 14 01:02:22 2014 reading all ideals from disk Sun Dec 14 01:02:22 2014 memory use: 124.0 MB Sun Dec 14 01:02:22 2014 keeping 4512993 ideals with weight <= 200, target excess is 20193 Sun Dec 14 01:02:22 2014 commencing in-memory singleton removal Sun Dec 14 01:02:22 2014 begin with 3968163 relations and 4512993 unique ideals Sun Dec 14 01:02:23 2014 reduce to 1492695 relations and 1361107 ideals in 14 passes Sun Dec 14 01:02:23 2014 max relations containing the same ideal: 109 Sun Dec 14 01:02:23 2014 removing 282419 relations and 228337 ideals in 54082 cliques Sun Dec 14 01:02:23 2014 commencing in-memory singleton removal Sun Dec 14 01:02:23 2014 begin with 1210276 relations and 1361107 unique ideals Sun Dec 14 01:02:24 2014 reduce to 1171697 relations and 1092448 ideals in 8 passes Sun Dec 14 01:02:24 2014 max relations containing the same ideal: 88 Sun Dec 14 01:02:24 2014 removing 220262 relations and 166180 ideals in 54082 cliques Sun Dec 14 01:02:24 2014 commencing in-memory singleton removal Sun Dec 14 01:02:24 2014 begin with 951435 relations and 1092448 unique ideals Sun Dec 14 01:02:24 2014 reduce to 924153 relations and 897713 ideals in 7 passes Sun Dec 14 01:02:24 2014 max relations containing the same ideal: 74 Sun Dec 14 01:02:24 2014 relations with 0 large ideals: 500 Sun Dec 14 01:02:24 2014 relations with 1 large ideals: 181 Sun Dec 14 01:02:24 2014 relations with 2 large ideals: 3072 Sun Dec 14 01:02:24 2014 relations with 3 large ideals: 24290 Sun Dec 14 01:02:24 2014 relations with 4 large ideals: 95396 Sun Dec 14 01:02:24 2014 relations with 5 large ideals: 211509 Sun Dec 14 01:02:24 2014 relations with 6 large ideals: 282619 Sun Dec 14 01:02:24 2014 relations with 7+ large ideals: 306586 Sun Dec 14 01:02:24 2014 commencing 2-way merge Sun Dec 14 01:02:24 2014 reduce to 580999 relation sets and 554559 unique ideals Sun Dec 14 01:02:24 2014 commencing full merge Sun Dec 14 01:02:30 2014 memory use: 71.1 MB Sun Dec 14 01:02:30 2014 found 292317 cycles, need 286759 Sun Dec 14 01:02:30 2014 weight of 286759 cycles is about 20366955 (71.02/cycle) Sun Dec 14 01:02:30 2014 distribution of cycle lengths: Sun Dec 14 01:02:30 2014 1 relations: 18453 Sun Dec 14 01:02:30 2014 2 relations: 27063 Sun Dec 14 01:02:30 2014 3 relations: 30558 Sun Dec 14 01:02:30 2014 4 relations: 29427 Sun Dec 14 01:02:30 2014 5 relations: 28073 Sun Dec 14 01:02:30 2014 6 relations: 25777 Sun Dec 14 01:02:30 2014 7 relations: 23297 Sun Dec 14 01:02:30 2014 8 relations: 20330 Sun Dec 14 01:02:30 2014 9 relations: 17263 Sun Dec 14 01:02:30 2014 10+ relations: 66518 Sun Dec 14 01:02:30 2014 heaviest cycle: 22 relations Sun Dec 14 01:02:30 2014 commencing cycle optimization Sun Dec 14 01:02:31 2014 start with 1900951 relations Sun Dec 14 01:02:32 2014 pruned 56131 relations Sun Dec 14 01:02:32 2014 memory use: 57.4 MB Sun Dec 14 01:02:32 2014 distribution of cycle lengths: Sun Dec 14 01:02:32 2014 1 relations: 18453 Sun Dec 14 01:02:32 2014 2 relations: 27618 Sun Dec 14 01:02:32 2014 3 relations: 31679 Sun Dec 14 01:02:32 2014 4 relations: 30336 Sun Dec 14 01:02:32 2014 5 relations: 29048 Sun Dec 14 01:02:32 2014 6 relations: 26593 Sun Dec 14 01:02:32 2014 7 relations: 23720 Sun Dec 14 01:02:32 2014 8 relations: 20665 Sun Dec 14 01:02:32 2014 9 relations: 17412 Sun Dec 14 01:02:32 2014 10+ relations: 61235 Sun Dec 14 01:02:32 2014 heaviest cycle: 21 relations Sun Dec 14 01:02:33 2014 RelProcTime: 45 Sun Dec 14 01:02:33 2014 Sun Dec 14 01:02:33 2014 commencing linear algebra Sun Dec 14 01:02:33 2014 read 286759 cycles Sun Dec 14 01:02:33 2014 cycles contain 893364 unique relations Sun Dec 14 01:02:37 2014 read 893364 relations Sun Dec 14 01:02:38 2014 using 20 quadratic characters above 67108008 Sun Dec 14 01:02:40 2014 building initial matrix Sun Dec 14 01:02:45 2014 memory use: 106.1 MB Sun Dec 14 01:02:45 2014 read 286759 cycles Sun Dec 14 01:02:45 2014 matrix is 286590 x 286759 (86.1 MB) with weight 25645208 (89.43/col) Sun Dec 14 01:02:45 2014 sparse part has weight 19408806 (67.68/col) Sun Dec 14 01:02:46 2014 filtering completed in 2 passes Sun Dec 14 01:02:46 2014 matrix is 286486 x 286659 (86.1 MB) with weight 25641286 (89.45/col) Sun Dec 14 01:02:46 2014 sparse part has weight 19407080 (67.70/col) Sun Dec 14 01:02:46 2014 matrix starts at (0, 0) Sun Dec 14 01:02:46 2014 matrix is 286486 x 286659 (86.1 MB) with weight 25641286 (89.45/col) Sun Dec 14 01:02:46 2014 sparse part has weight 19407080 (67.70/col) Sun Dec 14 01:02:46 2014 saving the first 48 matrix rows for later Sun Dec 14 01:02:46 2014 matrix includes 64 packed rows Sun Dec 14 01:02:46 2014 matrix is 286438 x 286659 (80.8 MB) with weight 20171263 (70.37/col) Sun Dec 14 01:02:46 2014 sparse part has weight 18303908 (63.85/col) Sun Dec 14 01:02:46 2014 using block size 65536 for processor cache size 8192 kB Sun Dec 14 01:02:47 2014 commencing Lanczos iteration (8 threads) Sun Dec 14 01:02:47 2014 memory use: 76.7 MB Sun Dec 14 01:02:52 2014 linear algebra at 4.2%, ETA 0h 1m Sun Dec 14 01:04:43 2014 lanczos halted after 4531 iterations (dim = 286433) Sun Dec 14 01:04:43 2014 recovered 37 nontrivial dependencies Sun Dec 14 01:04:43 2014 BLanczosTime: 130 Sun Dec 14 01:04:43 2014 Sun Dec 14 01:04:43 2014 commencing square root phase Sun Dec 14 01:04:43 2014 reading relations for dependency 1 Sun Dec 14 01:04:43 2014 read 143653 cycles Sun Dec 14 01:04:43 2014 cycles contain 446914 unique relations Sun Dec 14 01:04:47 2014 read 446914 relations Sun Dec 14 01:04:47 2014 multiplying 446914 relations Sun Dec 14 01:04:55 2014 multiply complete, coefficients have about 12.93 million bits Sun Dec 14 01:04:55 2014 initial square root is modulo 27041771 Sun Dec 14 01:05:04 2014 sqrtTime: 21 -- n: 486919208331770351898948992200607134998146948913917742872208134163220166336619013610059562100478150636829 m: 10000000000000000000000000000 deg: 5 c5: 1720 c0: -1 skew: 0.23 # Murphy_E = 2.617e-09 type: snfs lss: 1 rlim: 1710000 alim: 1710000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3
software ソフトウェア	yafu v1.34.3
execution environment 実行環境	Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	418	118	Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
35	1e6	418	300	Ignacio Santos	December 10, 2014 17:50:35 UTC 2014 年 12 月 11 日 (木) 2 時 50 分 35 秒 (日本時間)
40	3e6	410 / 2126	110	Ignacio Santos	December 10, 2014 17:50:35 UTC 2014 年 12 月 11 日 (木) 2 時 50 分 35 秒 (日本時間)
40	3e6	410 / 2126	300	Serge Batalov	December 10, 2014 19:49:21 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 21 秒 (日本時間)
45	11e6	32 / 4371		Ignacio Santos	December 10, 2014 17:50:35 UTC 2014 年 12 月 11 日 (木) 2 時 50 分 35 秒 (日本時間)

172×10¹⁴²-19

c139

name 名前	Dmitry Domanov
date 日付	December 14, 2014 09:51:03 UTC 2014 年 12 月 14 日 (日) 18 時 51 分 3 秒 (日本時間)
composite number 合成数	1274983562348549372626547678084440975303123635600802646628669191430627921991761530632591989693388691340563676163070397624379464758935448027<139>
prime factors 素因数	1036833544898736984276239624428334217009325860342676194069703056767<67> 1229689730450485630397405653363695771747896111556413842009841626122639781<73>
factorization results 素因数分解の結果	N=1274983562348549372626547678084440975303123635600802646628669191430627921991761530632591989693388691340563676163070397624379464758935448027 ( 139 digits) SNFS difficulty: 144 digits. Divisors found: r1=1036833544898736984276239624428334217009325860342676194069703056767 (pp67) r2=1229689730450485630397405653363695771747896111556413842009841626122639781 (pp73) Version: Msieve v. 1.50 (SVN unknown) Total time: 5.14 hours. Scaled time: 10.09 units (timescale=1.962). Factorization parameters were as follows: n: 1274983562348549372626547678084440975303123635600802646628669191430627921991761530632591989693388691340563676163070397624379464758935448027 m: 10000000000000000000000000000 deg: 5 c5: 17200 c0: -1 skew: 0.14 # Murphy_E = 2.307e-09 type: snfs lss: 1 rlim: 1770000 alim: 1770000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3 Factor base limits: 1770000/1770000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved rational special-q in [885000, 1885001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 265749 x 265974 Total sieving time: 4.98 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.08 hours. Time per square root: 0.03 hours. Prototype def-par.txt line would be: snfs,144.000,5,0,0,0,0,0,0,0,0,1770000,1770000,26,26,49,49,2.3,2.3,100000 total time: 5.14 hours.

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	418	118	Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
35	1e6	418	300	Ignacio Santos	December 10, 2014 18:25:15 UTC 2014 年 12 月 11 日 (木) 3 時 25 分 15 秒 (日本時間)
40	3e6	410 / 2126	110	Ignacio Santos	December 10, 2014 18:25:15 UTC 2014 年 12 月 11 日 (木) 3 時 25 分 15 秒 (日本時間)
40	3e6	410 / 2126	300	Serge Batalov	December 10, 2014 19:49:22 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 22 秒 (日本時間)
45	11e6	32 / 4371		Ignacio Santos	December 10, 2014 18:25:15 UTC 2014 年 12 月 11 日 (木) 3 時 25 分 15 秒 (日本時間)

172×10¹⁴³-19

c132

name 名前	Cyp
date 日付	December 14, 2014 06:22:52 UTC 2014 年 12 月 14 日 (日) 15 時 22 分 52 秒 (日本時間)
composite number 合成数	146778575640271150994123041670567482171752037331136972034173623700391006420000464779622118200828088470380979786616723803758337611537<132>
prime factors 素因数	4220117623970143618356837895362582715339<40> 34780683554072799075167079015250117638316506056381123069115778001328469972023273662914065683<92>
factorization results 素因数分解の結果	12/14/14 06:27:57 v1.34.3, 12/14/14 06:27:57 v1.34.3, ************************** 12/14/14 06:27:57 v1.34.3, Starting factorization of 146778575640271150994123041670567482171752037331136972034173623700391006420000464779622118200828088470380979786616723803758337611537 12/14/14 06:27:57 v1.34.3, using pretesting plan: none 12/14/14 06:27:57 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 12/14/14 06:27:57 v1.34.3, ************************** 12/14/14 06:27:57 v1.34.3, nfs: commencing nfs on c132: 146778575640271150994123041670567482171752037331136972034173623700391006420000464779622118200828088470380979786616723803758337611537 12/14/14 06:27:57 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 12/14/14 06:27:57 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/14/14 06:28:40 v1.34.3, nfs: commencing lattice sieving with 8 threads [62 lines snipped] 12/14/14 07:17:19 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/14/14 07:18:06 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/14/14 07:18:53 v1.34.3, nfs: commencing msieve filtering 12/14/14 07:19:40 v1.34.3, nfs: commencing msieve linear algebra 12/14/14 07:21:45 v1.34.3, nfs: commencing msieve sqrt 12/14/14 07:22:52 v1.34.3, prp92 = 34780683554072799075167079015250117638316506056381123069115778001328469972023273662914065683 12/14/14 07:22:52 v1.34.3, prp40 = 4220117623970143618356837895362582715339 12/14/14 07:22:52 v1.34.3, NFS elapsed time = 3294.9450 seconds. 12/14/14 07:22:52 v1.34.3, 12/14/14 07:22:52 v1.34.3, 12/14/14 07:22:52 v1.34.3, Total factoring time = 3294.9459 seconds -- Sun Dec 14 07:18:53 2014 Sun Dec 14 07:18:53 2014 commencing relation filtering Sun Dec 14 07:18:53 2014 estimated available RAM is 15987.3 MB Sun Dec 14 07:18:53 2014 commencing duplicate removal, pass 1 Sun Dec 14 07:19:04 2014 found 664050 hash collisions in 4501147 relations Sun Dec 14 07:19:08 2014 added 181906 free relations Sun Dec 14 07:19:08 2014 commencing duplicate removal, pass 2 Sun Dec 14 07:19:12 2014 found 513901 duplicates and 4169152 unique relations Sun Dec 14 07:19:12 2014 memory use: 20.6 MB Sun Dec 14 07:19:12 2014 reading ideals above 100000 Sun Dec 14 07:19:12 2014 commencing singleton removal, initial pass Sun Dec 14 07:19:29 2014 memory use: 94.1 MB Sun Dec 14 07:19:29 2014 reading all ideals from disk Sun Dec 14 07:19:29 2014 memory use: 134.5 MB Sun Dec 14 07:19:29 2014 keeping 4656730 ideals with weight <= 200, target excess is 21695 Sun Dec 14 07:19:29 2014 commencing in-memory singleton removal Sun Dec 14 07:19:29 2014 begin with 4169152 relations and 4656730 unique ideals Sun Dec 14 07:19:30 2014 reduce to 1655539 relations and 1487640 ideals in 13 passes Sun Dec 14 07:19:30 2014 max relations containing the same ideal: 107 Sun Dec 14 07:19:30 2014 removing 344532 relations and 273166 ideals in 71366 cliques Sun Dec 14 07:19:30 2014 commencing in-memory singleton removal Sun Dec 14 07:19:30 2014 begin with 1311007 relations and 1487640 unique ideals Sun Dec 14 07:19:31 2014 reduce to 1255809 relations and 1156281 ideals in 8 passes Sun Dec 14 07:19:31 2014 max relations containing the same ideal: 92 Sun Dec 14 07:19:31 2014 removing 274918 relations and 203552 ideals in 71366 cliques Sun Dec 14 07:19:31 2014 commencing in-memory singleton removal Sun Dec 14 07:19:31 2014 begin with 980891 relations and 1156281 unique ideals Sun Dec 14 07:19:31 2014 reduce to 936824 relations and 906235 ideals in 8 passes Sun Dec 14 07:19:31 2014 max relations containing the same ideal: 73 Sun Dec 14 07:19:31 2014 relations with 0 large ideals: 481 Sun Dec 14 07:19:31 2014 relations with 1 large ideals: 136 Sun Dec 14 07:19:31 2014 relations with 2 large ideals: 2359 Sun Dec 14 07:19:31 2014 relations with 3 large ideals: 19470 Sun Dec 14 07:19:31 2014 relations with 4 large ideals: 81912 Sun Dec 14 07:19:31 2014 relations with 5 large ideals: 194159 Sun Dec 14 07:19:31 2014 relations with 6 large ideals: 281128 Sun Dec 14 07:19:31 2014 relations with 7+ large ideals: 357179 Sun Dec 14 07:19:31 2014 commencing 2-way merge Sun Dec 14 07:19:32 2014 reduce to 575126 relation sets and 544536 unique ideals Sun Dec 14 07:19:32 2014 commencing full merge Sun Dec 14 07:19:37 2014 memory use: 73.1 MB Sun Dec 14 07:19:38 2014 found 286678 cycles, need 278736 Sun Dec 14 07:19:38 2014 weight of 278736 cycles is about 19901290 (71.40/cycle) Sun Dec 14 07:19:38 2014 distribution of cycle lengths: Sun Dec 14 07:19:38 2014 1 relations: 22276 Sun Dec 14 07:19:38 2014 2 relations: 26499 Sun Dec 14 07:19:38 2014 3 relations: 28129 Sun Dec 14 07:19:38 2014 4 relations: 27618 Sun Dec 14 07:19:38 2014 5 relations: 26151 Sun Dec 14 07:19:38 2014 6 relations: 24103 Sun Dec 14 07:19:38 2014 7 relations: 22157 Sun Dec 14 07:19:38 2014 8 relations: 19617 Sun Dec 14 07:19:38 2014 9 relations: 17001 Sun Dec 14 07:19:38 2014 10+ relations: 65185 Sun Dec 14 07:19:38 2014 heaviest cycle: 22 relations Sun Dec 14 07:19:38 2014 commencing cycle optimization Sun Dec 14 07:19:38 2014 start with 1833666 relations Sun Dec 14 07:19:40 2014 pruned 55296 relations Sun Dec 14 07:19:40 2014 memory use: 56.3 MB Sun Dec 14 07:19:40 2014 distribution of cycle lengths: Sun Dec 14 07:19:40 2014 1 relations: 22276 Sun Dec 14 07:19:40 2014 2 relations: 27047 Sun Dec 14 07:19:40 2014 3 relations: 29110 Sun Dec 14 07:19:40 2014 4 relations: 28486 Sun Dec 14 07:19:40 2014 5 relations: 27110 Sun Dec 14 07:19:40 2014 6 relations: 24844 Sun Dec 14 07:19:40 2014 7 relations: 22750 Sun Dec 14 07:19:40 2014 8 relations: 19977 Sun Dec 14 07:19:40 2014 9 relations: 17316 Sun Dec 14 07:19:40 2014 10+ relations: 59820 Sun Dec 14 07:19:40 2014 heaviest cycle: 21 relations Sun Dec 14 07:19:40 2014 RelProcTime: 47 Sun Dec 14 07:19:40 2014 Sun Dec 14 07:19:40 2014 commencing linear algebra Sun Dec 14 07:19:40 2014 read 278736 cycles Sun Dec 14 07:19:40 2014 cycles contain 891011 unique relations Sun Dec 14 07:19:45 2014 read 891011 relations Sun Dec 14 07:19:45 2014 using 20 quadratic characters above 67108778 Sun Dec 14 07:19:48 2014 building initial matrix Sun Dec 14 07:19:52 2014 memory use: 106.1 MB Sun Dec 14 07:19:52 2014 read 278736 cycles Sun Dec 14 07:19:52 2014 matrix is 278559 x 278736 (83.9 MB) with weight 25024471 (89.78/col) Sun Dec 14 07:19:52 2014 sparse part has weight 18921698 (67.88/col) Sun Dec 14 07:19:53 2014 filtering completed in 2 passes Sun Dec 14 07:19:53 2014 matrix is 278411 x 278588 (83.9 MB) with weight 25017067 (89.80/col) Sun Dec 14 07:19:53 2014 sparse part has weight 18917652 (67.91/col) Sun Dec 14 07:19:54 2014 matrix starts at (0, 0) Sun Dec 14 07:19:54 2014 matrix is 278411 x 278588 (83.9 MB) with weight 25017067 (89.80/col) Sun Dec 14 07:19:54 2014 sparse part has weight 18917652 (67.91/col) Sun Dec 14 07:19:54 2014 saving the first 48 matrix rows for later Sun Dec 14 07:19:54 2014 matrix includes 64 packed rows Sun Dec 14 07:19:54 2014 matrix is 278363 x 278588 (78.7 MB) with weight 19659172 (70.57/col) Sun Dec 14 07:19:54 2014 sparse part has weight 17837497 (64.03/col) Sun Dec 14 07:19:54 2014 using block size 65536 for processor cache size 8192 kB Sun Dec 14 07:19:54 2014 commencing Lanczos iteration (8 threads) Sun Dec 14 07:19:54 2014 memory use: 75.4 MB Sun Dec 14 07:19:59 2014 linear algebra at 4.4%, ETA 0h 1m Sun Dec 14 07:21:45 2014 lanczos halted after 4403 iterations (dim = 278363) Sun Dec 14 07:21:45 2014 recovered 36 nontrivial dependencies Sun Dec 14 07:21:45 2014 BLanczosTime: 125 Sun Dec 14 07:21:45 2014 Sun Dec 14 07:21:45 2014 commencing square root phase Sun Dec 14 07:21:45 2014 reading relations for dependency 1 Sun Dec 14 07:21:45 2014 read 139160 cycles Sun Dec 14 07:21:45 2014 cycles contain 444898 unique relations Sun Dec 14 07:21:48 2014 read 444898 relations Sun Dec 14 07:21:49 2014 multiplying 444898 relations Sun Dec 14 07:21:57 2014 multiply complete, coefficients have about 13.89 million bits Sun Dec 14 07:21:57 2014 initial square root is modulo 95242361 Sun Dec 14 07:22:07 2014 GCD is N, no factor found Sun Dec 14 07:22:07 2014 reading relations for dependency 2 Sun Dec 14 07:22:07 2014 read 139369 cycles Sun Dec 14 07:22:07 2014 cycles contain 444710 unique relations Sun Dec 14 07:22:11 2014 read 444710 relations Sun Dec 14 07:22:11 2014 multiplying 444710 relations Sun Dec 14 07:22:19 2014 multiply complete, coefficients have about 13.88 million bits Sun Dec 14 07:22:19 2014 initial square root is modulo 94529891 Sun Dec 14 07:22:29 2014 Newton iteration failed to converge Sun Dec 14 07:22:29 2014 algebraic square root failed Sun Dec 14 07:22:29 2014 reading relations for dependency 3 Sun Dec 14 07:22:30 2014 read 139525 cycles Sun Dec 14 07:22:30 2014 cycles contain 445258 unique relations Sun Dec 14 07:22:33 2014 read 445258 relations Sun Dec 14 07:22:34 2014 multiplying 445258 relations Sun Dec 14 07:22:42 2014 multiply complete, coefficients have about 13.90 million bits Sun Dec 14 07:22:42 2014 initial square root is modulo 96594961 Sun Dec 14 07:22:52 2014 sqrtTime: 67 -- n: 146778575640271150994123041670567482171752037331136972034173623700391006420000464779622118200828088470380979786616723803758337611537 m: 20000000000000000000000000000 deg: 5 c5: 5375 c0: -1 skew: 0.18 # Murphy_E = 1.909e-09 type: snfs lss: 1 rlim: 1840000 alim: 1840000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3
software ソフトウェア	yafu v1.34.3
execution environment 実行環境	Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	December 10, 2014 19:49:22 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 22 秒 (日本時間)

172×10¹⁴⁴-19

c120

name 名前	Serge Batalov
date 日付	December 10, 2014 20:17:55 UTC 2014 年 12 月 11 日 (木) 5 時 17 分 55 秒 (日本時間)
composite number 合成数	188211806315158842068186846394717297979569798052039742292068754972231058437494791543459513030503281043911740848368954407<120>
prime factors 素因数	1292259080822326100532922804560893<34> 145645566828124505063263326333685840573245494138572550052310347881105127308997819482099<87>
factorization results 素因数分解の結果	Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2990463960 Step 1 took 7617ms Step 2 took 6264ms ********** Factor found in step 2: 1292259080822326100532922804560893 Found probable prime factor of 34 digits: 1292259080822326100532922804560893 Probable prime cofactor

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	December 10, 2014 19:49:22 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 22 秒 (日本時間)

172×10¹⁴⁵-19

c118

name 名前	Cyp
date 日付	December 14, 2014 14:15:39 UTC 2014 年 12 月 14 日 (日) 23 時 15 分 39 秒 (日本時間)
composite number 合成数	2206845413126137782078669490704044718000758085765950058901253242263828477401120532874399733097159973289116863071038943<118>
prime factors 素因数	80823110459248502941613646118310134574613233<44> 27304633545857437344025459251225908826917901034870060539686002263602961871<74>
factorization results 素因数分解の結果	12/14/14 14:21:44 v1.34.3, 12/14/14 14:21:44 v1.34.3, ************************** 12/14/14 14:21:44 v1.34.3, Starting factorization of 2206845413126137782078669490704044718000758085765950058901253242263828477401120532874399733097159973289116863071038943 12/14/14 14:21:44 v1.34.3, using pretesting plan: none 12/14/14 14:21:44 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 12/14/14 14:21:44 v1.34.3, ************************** 12/14/14 14:21:44 v1.34.3, nfs: commencing nfs on c118: 2206845413126137782078669490704044718000758085765950058901253242263828477401120532874399733097159973289116863071038943 12/14/14 14:21:44 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 12/14/14 14:21:44 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/14/14 14:22:32 v1.34.3, nfs: commencing lattice sieving with 8 threads [55 lines snipped] 12/14/14 15:09:01 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/14/14 15:09:52 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/14/14 15:10:50 v1.34.3, nfs: commencing msieve filtering 12/14/14 15:11:46 v1.34.3, nfs: commencing msieve linear algebra 12/14/14 15:14:53 v1.34.3, nfs: commencing msieve sqrt 12/14/14 15:15:38 v1.34.3, prp74 = 27304633545857437344025459251225908826917901034870060539686002263602961871 12/14/14 15:15:38 v1.34.3, prp44 = 80823110459248502941613646118310134574613233 12/14/14 15:15:38 v1.34.3, NFS elapsed time = 3233.9313 seconds. 12/14/14 15:15:38 v1.34.3, 12/14/14 15:15:38 v1.34.3, 12/14/14 15:15:38 v1.34.3, Total factoring time = 3233.9319 seconds -- Sun Dec 14 15:10:50 2014 Sun Dec 14 15:10:50 2014 commencing relation filtering Sun Dec 14 15:10:50 2014 estimated available RAM is 15987.3 MB Sun Dec 14 15:10:50 2014 commencing duplicate removal, pass 1 Sun Dec 14 15:11:03 2014 found 634978 hash collisions in 4534553 relations Sun Dec 14 15:11:07 2014 added 184284 free relations Sun Dec 14 15:11:07 2014 commencing duplicate removal, pass 2 Sun Dec 14 15:11:10 2014 found 468938 duplicates and 4249899 unique relations Sun Dec 14 15:11:10 2014 memory use: 20.6 MB Sun Dec 14 15:11:10 2014 reading ideals above 100000 Sun Dec 14 15:11:10 2014 commencing singleton removal, initial pass Sun Dec 14 15:11:30 2014 memory use: 94.1 MB Sun Dec 14 15:11:30 2014 reading all ideals from disk Sun Dec 14 15:11:30 2014 memory use: 137.8 MB Sun Dec 14 15:11:30 2014 keeping 4759572 ideals with weight <= 200, target excess is 21902 Sun Dec 14 15:11:30 2014 commencing in-memory singleton removal Sun Dec 14 15:11:31 2014 begin with 4249899 relations and 4759572 unique ideals Sun Dec 14 15:11:32 2014 reduce to 1674605 relations and 1524968 ideals in 14 passes Sun Dec 14 15:11:32 2014 max relations containing the same ideal: 109 Sun Dec 14 15:11:33 2014 removing 328099 relations and 265984 ideals in 62115 cliques Sun Dec 14 15:11:33 2014 commencing in-memory singleton removal Sun Dec 14 15:11:33 2014 begin with 1346506 relations and 1524968 unique ideals Sun Dec 14 15:11:33 2014 reduce to 1296297 relations and 1206442 ideals in 9 passes Sun Dec 14 15:11:33 2014 max relations containing the same ideal: 90 Sun Dec 14 15:11:34 2014 removing 259242 relations and 197127 ideals in 62115 cliques Sun Dec 14 15:11:34 2014 commencing in-memory singleton removal Sun Dec 14 15:11:34 2014 begin with 1037055 relations and 1206442 unique ideals Sun Dec 14 15:11:34 2014 reduce to 997336 relations and 967758 ideals in 8 passes Sun Dec 14 15:11:34 2014 max relations containing the same ideal: 76 Sun Dec 14 15:11:34 2014 relations with 0 large ideals: 505 Sun Dec 14 15:11:34 2014 relations with 1 large ideals: 138 Sun Dec 14 15:11:34 2014 relations with 2 large ideals: 2169 Sun Dec 14 15:11:34 2014 relations with 3 large ideals: 18190 Sun Dec 14 15:11:34 2014 relations with 4 large ideals: 80501 Sun Dec 14 15:11:34 2014 relations with 5 large ideals: 199265 Sun Dec 14 15:11:34 2014 relations with 6 large ideals: 299051 Sun Dec 14 15:11:34 2014 relations with 7+ large ideals: 397517 Sun Dec 14 15:11:34 2014 commencing 2-way merge Sun Dec 14 15:11:35 2014 reduce to 605799 relation sets and 576221 unique ideals Sun Dec 14 15:11:35 2014 commencing full merge Sun Dec 14 15:11:43 2014 memory use: 76.6 MB Sun Dec 14 15:11:43 2014 found 299032 cycles, need 292421 Sun Dec 14 15:11:43 2014 weight of 292421 cycles is about 20847735 (71.29/cycle) Sun Dec 14 15:11:43 2014 distribution of cycle lengths: Sun Dec 14 15:11:43 2014 1 relations: 26404 Sun Dec 14 15:11:43 2014 2 relations: 28475 Sun Dec 14 15:11:43 2014 3 relations: 29307 Sun Dec 14 15:11:43 2014 4 relations: 27866 Sun Dec 14 15:11:43 2014 5 relations: 26513 Sun Dec 14 15:11:43 2014 6 relations: 24375 Sun Dec 14 15:11:43 2014 7 relations: 22237 Sun Dec 14 15:11:43 2014 8 relations: 19734 Sun Dec 14 15:11:43 2014 9 relations: 17028 Sun Dec 14 15:11:43 2014 10+ relations: 70482 Sun Dec 14 15:11:43 2014 heaviest cycle: 22 relations Sun Dec 14 15:11:43 2014 commencing cycle optimization Sun Dec 14 15:11:43 2014 start with 1935511 relations Sun Dec 14 15:11:46 2014 pruned 57436 relations Sun Dec 14 15:11:46 2014 memory use: 59.8 MB Sun Dec 14 15:11:46 2014 distribution of cycle lengths: Sun Dec 14 15:11:46 2014 1 relations: 26404 Sun Dec 14 15:11:46 2014 2 relations: 29079 Sun Dec 14 15:11:46 2014 3 relations: 30347 Sun Dec 14 15:11:46 2014 4 relations: 28606 Sun Dec 14 15:11:46 2014 5 relations: 27497 Sun Dec 14 15:11:46 2014 6 relations: 25053 Sun Dec 14 15:11:46 2014 7 relations: 22924 Sun Dec 14 15:11:46 2014 8 relations: 19981 Sun Dec 14 15:11:46 2014 9 relations: 17163 Sun Dec 14 15:11:46 2014 10+ relations: 65367 Sun Dec 14 15:11:46 2014 heaviest cycle: 22 relations Sun Dec 14 15:11:46 2014 RelProcTime: 56 Sun Dec 14 15:11:46 2014 Sun Dec 14 15:11:46 2014 commencing linear algebra Sun Dec 14 15:11:46 2014 read 292421 cycles Sun Dec 14 15:11:46 2014 cycles contain 954964 unique relations Sun Dec 14 15:11:51 2014 read 954964 relations Sun Dec 14 15:11:52 2014 using 20 quadratic characters above 67106822 Sun Dec 14 15:11:56 2014 building initial matrix Sun Dec 14 15:12:03 2014 memory use: 112.0 MB Sun Dec 14 15:12:03 2014 read 292421 cycles Sun Dec 14 15:12:03 2014 matrix is 292244 x 292421 (88.0 MB) with weight 26450327 (90.45/col) Sun Dec 14 15:12:03 2014 sparse part has weight 19850634 (67.88/col) Sun Dec 14 15:12:04 2014 filtering completed in 2 passes Sun Dec 14 15:12:04 2014 matrix is 292061 x 292238 (88.0 MB) with weight 26442727 (90.48/col) Sun Dec 14 15:12:04 2014 sparse part has weight 19847218 (67.91/col) Sun Dec 14 15:12:05 2014 matrix starts at (0, 0) Sun Dec 14 15:12:05 2014 matrix is 292061 x 292238 (88.0 MB) with weight 26442727 (90.48/col) Sun Dec 14 15:12:05 2014 sparse part has weight 19847218 (67.91/col) Sun Dec 14 15:12:05 2014 saving the first 48 matrix rows for later Sun Dec 14 15:12:05 2014 matrix includes 64 packed rows Sun Dec 14 15:12:05 2014 matrix is 292013 x 292238 (83.4 MB) with weight 21030946 (71.97/col) Sun Dec 14 15:12:05 2014 sparse part has weight 18943100 (64.82/col) Sun Dec 14 15:12:05 2014 using block size 65536 for processor cache size 8192 kB Sun Dec 14 15:12:06 2014 commencing Lanczos iteration (8 threads) Sun Dec 14 15:12:06 2014 memory use: 79.9 MB Sun Dec 14 15:12:13 2014 linear algebra at 4.2%, ETA 0h 2m Sun Dec 14 15:14:53 2014 lanczos halted after 4620 iterations (dim = 292013) Sun Dec 14 15:14:53 2014 recovered 40 nontrivial dependencies Sun Dec 14 15:14:53 2014 BLanczosTime: 187 Sun Dec 14 15:14:53 2014 Sun Dec 14 15:14:53 2014 commencing square root phase Sun Dec 14 15:14:53 2014 reading relations for dependency 1 Sun Dec 14 15:14:53 2014 read 145608 cycles Sun Dec 14 15:14:54 2014 cycles contain 475796 unique relations Sun Dec 14 15:14:57 2014 read 475796 relations Sun Dec 14 15:14:58 2014 multiplying 475796 relations Sun Dec 14 15:15:06 2014 multiply complete, coefficients have about 12.73 million bits Sun Dec 14 15:15:06 2014 initial square root is modulo 20786431 Sun Dec 14 15:15:16 2014 GCD is 1, no factor found Sun Dec 14 15:15:16 2014 reading relations for dependency 2 Sun Dec 14 15:15:16 2014 read 146249 cycles Sun Dec 14 15:15:16 2014 cycles contain 477466 unique relations Sun Dec 14 15:15:20 2014 read 477466 relations Sun Dec 14 15:15:21 2014 multiplying 477466 relations Sun Dec 14 15:15:28 2014 multiply complete, coefficients have about 12.78 million bits Sun Dec 14 15:15:29 2014 initial square root is modulo 22049381 Sun Dec 14 15:15:38 2014 sqrtTime: 45 -- n: 2206845413126137782078669490704044718000758085765950058901253242263828477401120532874399733097159973289116863071038943 m: 100000000000000000000000000000 deg: 5 c5: 172 c0: -1 skew: 0.36 # Murphy_E = 2.074e-09 type: snfs lss: 1 rlim: 1990000 alim: 1990000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3
software ソフトウェア	yafu v1.34.3
execution environment 実行環境	Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	0 / 237	-	-
45	11e6	603 / 4475	Pierre Jammes	December 10, 2014 06:51:37 UTC 2014 年 12 月 10 日 (水) 15 時 51 分 37 秒 (日本時間)

172×10¹⁵²-19

c128

name 名前	Cyp
date 日付	December 19, 2014 01:13:22 UTC 2014 年 12 月 19 日 (金) 10 時 13 分 22 秒 (日本時間)
composite number 合成数	51203564623161421428007838635295999173734778180645422545660288145678855206439728720300669191229998624833554401130019381757027861<128>
prime factors 素因数	924768937613045546715735942783292922044861887847<48> 55369036026799071069831492704382655106041944623178952153408681357643075733110563<80>
factorization results 素因数分解の結果	12/19/14 00:22:35 v1.34.3, 12/19/14 00:22:35 v1.34.3, ************************** 12/19/14 00:22:35 v1.34.3, Starting factorization of 51203564623161421428007838635295999173734778180645422545660288145678855206439728720300669191229998624833554401130019381757027861 12/19/14 00:22:35 v1.34.3, using pretesting plan: none 12/19/14 00:22:35 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 12/19/14 00:22:35 v1.34.3, ************************** 12/19/14 00:22:35 v1.34.3, nfs: commencing nfs on c128: 51203564623161421428007838635295999173734778180645422545660288145678855206439728720300669191229998624833554401130019381757027861 12/19/14 00:22:35 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 12/19/14 00:22:35 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/19/14 00:23:28 v1.34.3, nfs: commencing lattice sieving with 8 threads [107 lines snipped] 12/19/14 02:05:43 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/19/14 02:06:39 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/19/14 02:07:35 v1.34.3, nfs: commencing msieve filtering 12/19/14 02:09:14 v1.34.3, nfs: commencing msieve linear algebra 12/19/14 02:12:47 v1.34.3, nfs: commencing msieve sqrt 12/19/14 02:13:21 v1.34.3, prp80 = 55369036026799071069831492704382655106041944623178952153408681357643075733110563 12/19/14 02:13:21 v1.34.3, prp48 = 924768937613045546715735942783292922044861887847 12/19/14 02:13:21 v1.34.3, NFS elapsed time = 6645.7539 seconds. 12/19/14 02:13:21 v1.34.3, 12/19/14 02:13:21 v1.34.3, 12/19/14 02:13:21 v1.34.3, Total factoring time = 6645.7546 seconds -- Fri Dec 19 02:07:35 2014 Fri Dec 19 02:07:35 2014 commencing relation filtering Fri Dec 19 02:07:35 2014 estimated available RAM is 15987.3 MB Fri Dec 19 02:07:35 2014 commencing duplicate removal, pass 1 Fri Dec 19 02:08:02 2014 found 1539181 hash collisions in 10040582 relations Fri Dec 19 02:08:10 2014 added 355982 free relations Fri Dec 19 02:08:10 2014 commencing duplicate removal, pass 2 Fri Dec 19 02:08:17 2014 found 1169385 duplicates and 9227179 unique relations Fri Dec 19 02:08:17 2014 memory use: 41.3 MB Fri Dec 19 02:08:17 2014 reading ideals above 100000 Fri Dec 19 02:08:17 2014 commencing singleton removal, initial pass Fri Dec 19 02:08:57 2014 memory use: 188.2 MB Fri Dec 19 02:08:57 2014 reading all ideals from disk Fri Dec 19 02:08:57 2014 memory use: 308.4 MB Fri Dec 19 02:08:57 2014 keeping 9529630 ideals with weight <= 200, target excess is 46297 Fri Dec 19 02:08:57 2014 commencing in-memory singleton removal Fri Dec 19 02:08:58 2014 begin with 9227179 relations and 9529630 unique ideals Fri Dec 19 02:09:00 2014 reduce to 4308416 relations and 3455022 ideals in 13 passes Fri Dec 19 02:09:00 2014 max relations containing the same ideal: 121 Fri Dec 19 02:09:01 2014 removing 1307613 relations and 907768 ideals in 399845 cliques Fri Dec 19 02:09:02 2014 commencing in-memory singleton removal Fri Dec 19 02:09:02 2014 begin with 3000803 relations and 3455022 unique ideals Fri Dec 19 02:09:02 2014 reduce to 2745971 relations and 2263574 ideals in 8 passes Fri Dec 19 02:09:02 2014 max relations containing the same ideal: 91 Fri Dec 19 02:09:03 2014 removing 1097230 relations and 697385 ideals in 399845 cliques Fri Dec 19 02:09:03 2014 commencing in-memory singleton removal Fri Dec 19 02:09:03 2014 begin with 1648741 relations and 2263574 unique ideals Fri Dec 19 02:09:04 2014 reduce to 1424369 relations and 1308696 ideals in 8 passes Fri Dec 19 02:09:04 2014 max relations containing the same ideal: 57 Fri Dec 19 02:09:04 2014 removing 241046 relations and 179078 ideals in 61968 cliques Fri Dec 19 02:09:04 2014 commencing in-memory singleton removal Fri Dec 19 02:09:04 2014 begin with 1183323 relations and 1308696 unique ideals Fri Dec 19 02:09:04 2014 reduce to 1149905 relations and 1094665 ideals in 7 passes Fri Dec 19 02:09:04 2014 max relations containing the same ideal: 51 Fri Dec 19 02:09:05 2014 relations with 0 large ideals: 1058 Fri Dec 19 02:09:05 2014 relations with 1 large ideals: 820 Fri Dec 19 02:09:05 2014 relations with 2 large ideals: 11779 Fri Dec 19 02:09:05 2014 relations with 3 large ideals: 68880 Fri Dec 19 02:09:05 2014 relations with 4 large ideals: 199545 Fri Dec 19 02:09:05 2014 relations with 5 large ideals: 324037 Fri Dec 19 02:09:05 2014 relations with 6 large ideals: 314128 Fri Dec 19 02:09:05 2014 relations with 7+ large ideals: 229658 Fri Dec 19 02:09:05 2014 commencing 2-way merge Fri Dec 19 02:09:05 2014 reduce to 724364 relation sets and 669124 unique ideals Fri Dec 19 02:09:05 2014 commencing full merge Fri Dec 19 02:09:12 2014 memory use: 86.0 MB Fri Dec 19 02:09:12 2014 found 371722 cycles, need 363324 Fri Dec 19 02:09:12 2014 weight of 363324 cycles is about 25809147 (71.04/cycle) Fri Dec 19 02:09:12 2014 distribution of cycle lengths: Fri Dec 19 02:09:12 2014 1 relations: 24260 Fri Dec 19 02:09:12 2014 2 relations: 33422 Fri Dec 19 02:09:12 2014 3 relations: 37825 Fri Dec 19 02:09:12 2014 4 relations: 38702 Fri Dec 19 02:09:12 2014 5 relations: 37727 Fri Dec 19 02:09:12 2014 6 relations: 35367 Fri Dec 19 02:09:12 2014 7 relations: 31825 Fri Dec 19 02:09:12 2014 8 relations: 27546 Fri Dec 19 02:09:12 2014 9 relations: 23006 Fri Dec 19 02:09:12 2014 10+ relations: 73644 Fri Dec 19 02:09:12 2014 heaviest cycle: 20 relations Fri Dec 19 02:09:12 2014 commencing cycle optimization Fri Dec 19 02:09:12 2014 start with 2310216 relations Fri Dec 19 02:09:14 2014 pruned 73786 relations Fri Dec 19 02:09:14 2014 memory use: 70.8 MB Fri Dec 19 02:09:14 2014 distribution of cycle lengths: Fri Dec 19 02:09:14 2014 1 relations: 24260 Fri Dec 19 02:09:14 2014 2 relations: 34147 Fri Dec 19 02:09:14 2014 3 relations: 39302 Fri Dec 19 02:09:14 2014 4 relations: 40013 Fri Dec 19 02:09:14 2014 5 relations: 39286 Fri Dec 19 02:09:14 2014 6 relations: 36735 Fri Dec 19 02:09:14 2014 7 relations: 32877 Fri Dec 19 02:09:14 2014 8 relations: 27868 Fri Dec 19 02:09:14 2014 9 relations: 23052 Fri Dec 19 02:09:14 2014 10+ relations: 65784 Fri Dec 19 02:09:14 2014 heaviest cycle: 19 relations Fri Dec 19 02:09:14 2014 RelProcTime: 99 Fri Dec 19 02:09:14 2014 Fri Dec 19 02:09:14 2014 commencing linear algebra Fri Dec 19 02:09:14 2014 read 363324 cycles Fri Dec 19 02:09:15 2014 cycles contain 1110152 unique relations Fri Dec 19 02:09:23 2014 read 1110152 relations Fri Dec 19 02:09:24 2014 using 20 quadratic characters above 134215380 Fri Dec 19 02:09:27 2014 building initial matrix Fri Dec 19 02:09:33 2014 memory use: 136.8 MB Fri Dec 19 02:09:33 2014 read 363324 cycles Fri Dec 19 02:09:33 2014 matrix is 363147 x 363324 (109.0 MB) with weight 32564911 (89.63/col) Fri Dec 19 02:09:33 2014 sparse part has weight 24582246 (67.66/col) Fri Dec 19 02:09:35 2014 filtering completed in 2 passes Fri Dec 19 02:09:35 2014 matrix is 363040 x 363217 (109.0 MB) with weight 32560267 (89.64/col) Fri Dec 19 02:09:35 2014 sparse part has weight 24579978 (67.67/col) Fri Dec 19 02:09:35 2014 matrix starts at (0, 0) Fri Dec 19 02:09:35 2014 matrix is 363040 x 363217 (109.0 MB) with weight 32560267 (89.64/col) Fri Dec 19 02:09:35 2014 sparse part has weight 24579978 (67.67/col) Fri Dec 19 02:09:35 2014 saving the first 48 matrix rows for later Fri Dec 19 02:09:35 2014 matrix includes 64 packed rows Fri Dec 19 02:09:35 2014 matrix is 362992 x 363217 (102.9 MB) with weight 25874111 (71.24/col) Fri Dec 19 02:09:35 2014 sparse part has weight 23340707 (64.26/col) Fri Dec 19 02:09:35 2014 using block size 65536 for processor cache size 8192 kB Fri Dec 19 02:09:36 2014 commencing Lanczos iteration (8 threads) Fri Dec 19 02:09:36 2014 memory use: 98.6 MB Fri Dec 19 02:09:42 2014 linear algebra at 3.3%, ETA 0h 2m Fri Dec 19 02:12:46 2014 lanczos halted after 5742 iterations (dim = 362990) Fri Dec 19 02:12:47 2014 recovered 38 nontrivial dependencies Fri Dec 19 02:12:47 2014 BLanczosTime: 213 Fri Dec 19 02:12:47 2014 Fri Dec 19 02:12:47 2014 commencing square root phase Fri Dec 19 02:12:47 2014 reading relations for dependency 1 Fri Dec 19 02:12:47 2014 read 181909 cycles Fri Dec 19 02:12:47 2014 cycles contain 555328 unique relations Fri Dec 19 02:12:54 2014 read 555328 relations Fri Dec 19 02:12:55 2014 multiplying 555328 relations Fri Dec 19 02:13:06 2014 multiply complete, coefficients have about 18.36 million bits Fri Dec 19 02:13:06 2014 initial square root is modulo 187631 Fri Dec 19 02:13:21 2014 sqrtTime: 34 -- n: 51203564623161421428007838635295999173734778180645422545660288145678855206439728720300669191229998624833554401130019381757027861 m: 1000000000000000000000000000000 deg: 5 c5: 17200 c0: -1 skew: 0.14 # Murphy_E = 9.671e-10 type: snfs lss: 1 rlim: 2600000 alim: 2600000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4
software ソフトウェア	yafu v1.34.3
execution environment 実行環境	Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	December 10, 2014 19:49:23 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 23 秒 (日本時間)

172×10¹⁵³-19

c142

name 名前	Cyp
date 日付	December 16, 2014 23:55:28 UTC 2014 年 12 月 17 日 (水) 8 時 55 分 28 秒 (日本時間)
composite number 合成数	1080456317744809611023240384503694723501108052062461975959376547502165530941256387787536577006309488207770096292878758327776214682251382725611<142>
prime factors 素因数	20204438758842001097409054926741320486708693458836781290559797689<65> 53476185636286141278829038649367832525864606671592048673030292543734312469699<77>
factorization results 素因数分解の結果	12/16/14 22:29:17 v1.34.3, 12/16/14 22:29:17 v1.34.3, ************************** 12/16/14 22:29:17 v1.34.3, Starting factorization of 1080456317744809611023240384503694723501108052062461975959376547502165530941256387787536577006309488207770096292878758327776214682251382725611 12/16/14 22:29:17 v1.34.3, using pretesting plan: none 12/16/14 22:29:17 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 12/16/14 22:29:17 v1.34.3, ************************** 12/16/14 22:29:17 v1.34.3, nfs: commencing nfs on c142: 1080456317744809611023240384503694723501108052062461975959376547502165530941256387787536577006309488207770096292878758327776214682251382725611 12/16/14 22:29:17 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 12/16/14 22:29:17 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/16/14 22:33:06 v1.34.3, nfs: commencing lattice sieving with 8 threads [33 lines snipped] 12/17/14 00:41:55 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/17/14 00:45:45 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/17/14 00:49:35 v1.34.3, nfs: commencing msieve filtering 12/17/14 00:51:17 v1.34.3, nfs: commencing msieve linear algebra 12/17/14 00:54:52 v1.34.3, nfs: commencing msieve sqrt 12/17/14 00:55:27 v1.34.3, prp77 = 53476185636286141278829038649367832525864606671592048673030292543734312469699 12/17/14 00:55:27 v1.34.3, prp65 = 20204438758842001097409054926741320486708693458836781290559797689 12/17/14 00:55:27 v1.34.3, NFS elapsed time = 8770.0330 seconds. 12/17/14 00:55:27 v1.34.3, 12/17/14 00:55:27 v1.34.3, 12/17/14 00:55:27 v1.34.3, Total factoring time = 8770.0336 seconds -- Wed Dec 17 00:49:35 2014 Wed Dec 17 00:49:35 2014 commencing relation filtering Wed Dec 17 00:49:35 2014 estimated available RAM is 15987.3 MB Wed Dec 17 00:49:35 2014 commencing duplicate removal, pass 1 Wed Dec 17 00:50:02 2014 found 1302586 hash collisions in 10071651 relations Wed Dec 17 00:50:10 2014 added 359610 free relations Wed Dec 17 00:50:10 2014 commencing duplicate removal, pass 2 Wed Dec 17 00:50:18 2014 found 837498 duplicates and 9593763 unique relations Wed Dec 17 00:50:18 2014 memory use: 41.3 MB Wed Dec 17 00:50:18 2014 reading ideals above 100000 Wed Dec 17 00:50:18 2014 commencing singleton removal, initial pass Wed Dec 17 00:50:59 2014 memory use: 188.2 MB Wed Dec 17 00:50:59 2014 reading all ideals from disk Wed Dec 17 00:50:59 2014 memory use: 330.7 MB Wed Dec 17 00:50:59 2014 keeping 9706288 ideals with weight <= 200, target excess is 51496 Wed Dec 17 00:51:00 2014 commencing in-memory singleton removal Wed Dec 17 00:51:00 2014 begin with 9593763 relations and 9706288 unique ideals Wed Dec 17 00:51:03 2014 reduce to 4696580 relations and 3705184 ideals in 12 passes Wed Dec 17 00:51:03 2014 max relations containing the same ideal: 129 Wed Dec 17 00:51:04 2014 removing 1294014 relations and 894014 ideals in 400000 cliques Wed Dec 17 00:51:04 2014 commencing in-memory singleton removal Wed Dec 17 00:51:04 2014 begin with 3402566 relations and 3705184 unique ideals Wed Dec 17 00:51:05 2014 reduce to 3173053 relations and 2558387 ideals in 8 passes Wed Dec 17 00:51:05 2014 max relations containing the same ideal: 97 Wed Dec 17 00:51:06 2014 removing 1094765 relations and 694765 ideals in 400000 cliques Wed Dec 17 00:51:06 2014 commencing in-memory singleton removal Wed Dec 17 00:51:06 2014 begin with 2078288 relations and 2558387 unique ideals Wed Dec 17 00:51:07 2014 reduce to 1875615 relations and 1636326 ideals in 8 passes Wed Dec 17 00:51:07 2014 max relations containing the same ideal: 67 Wed Dec 17 00:51:07 2014 removing 539201 relations and 359648 ideals in 179553 cliques Wed Dec 17 00:51:07 2014 commencing in-memory singleton removal Wed Dec 17 00:51:07 2014 begin with 1336414 relations and 1636326 unique ideals Wed Dec 17 00:51:08 2014 reduce to 1227928 relations and 1158166 ideals in 8 passes Wed Dec 17 00:51:08 2014 max relations containing the same ideal: 51 Wed Dec 17 00:51:08 2014 removing 56752 relations and 46726 ideals in 10026 cliques Wed Dec 17 00:51:08 2014 commencing in-memory singleton removal Wed Dec 17 00:51:08 2014 begin with 1171176 relations and 1158166 unique ideals Wed Dec 17 00:51:08 2014 reduce to 1169190 relations and 1109435 ideals in 7 passes Wed Dec 17 00:51:08 2014 max relations containing the same ideal: 51 Wed Dec 17 00:51:08 2014 relations with 0 large ideals: 1152 Wed Dec 17 00:51:08 2014 relations with 1 large ideals: 673 Wed Dec 17 00:51:08 2014 relations with 2 large ideals: 10205 Wed Dec 17 00:51:08 2014 relations with 3 large ideals: 61594 Wed Dec 17 00:51:08 2014 relations with 4 large ideals: 189562 Wed Dec 17 00:51:08 2014 relations with 5 large ideals: 319307 Wed Dec 17 00:51:08 2014 relations with 6 large ideals: 326210 Wed Dec 17 00:51:08 2014 relations with 7+ large ideals: 260487 Wed Dec 17 00:51:08 2014 commencing 2-way merge Wed Dec 17 00:51:09 2014 reduce to 725332 relation sets and 665577 unique ideals Wed Dec 17 00:51:09 2014 commencing full merge Wed Dec 17 00:51:15 2014 memory use: 85.8 MB Wed Dec 17 00:51:15 2014 found 371723 cycles, need 363777 Wed Dec 17 00:51:15 2014 weight of 363777 cycles is about 25761349 (70.82/cycle) Wed Dec 17 00:51:15 2014 distribution of cycle lengths: Wed Dec 17 00:51:15 2014 1 relations: 30983 Wed Dec 17 00:51:15 2014 2 relations: 34260 Wed Dec 17 00:51:15 2014 3 relations: 37386 Wed Dec 17 00:51:15 2014 4 relations: 37966 Wed Dec 17 00:51:15 2014 5 relations: 37938 Wed Dec 17 00:51:15 2014 6 relations: 35103 Wed Dec 17 00:51:15 2014 7 relations: 31406 Wed Dec 17 00:51:15 2014 8 relations: 27155 Wed Dec 17 00:51:15 2014 9 relations: 22637 Wed Dec 17 00:51:15 2014 10+ relations: 68943 Wed Dec 17 00:51:15 2014 heaviest cycle: 19 relations Wed Dec 17 00:51:15 2014 commencing cycle optimization Wed Dec 17 00:51:15 2014 start with 2240304 relations Wed Dec 17 00:51:17 2014 pruned 69341 relations Wed Dec 17 00:51:17 2014 memory use: 70.6 MB Wed Dec 17 00:51:17 2014 distribution of cycle lengths: Wed Dec 17 00:51:17 2014 1 relations: 30983 Wed Dec 17 00:51:17 2014 2 relations: 34984 Wed Dec 17 00:51:17 2014 3 relations: 38794 Wed Dec 17 00:51:17 2014 4 relations: 39284 Wed Dec 17 00:51:17 2014 5 relations: 39464 Wed Dec 17 00:51:17 2014 6 relations: 36232 Wed Dec 17 00:51:17 2014 7 relations: 32389 Wed Dec 17 00:51:17 2014 8 relations: 27543 Wed Dec 17 00:51:17 2014 9 relations: 22661 Wed Dec 17 00:51:17 2014 10+ relations: 61443 Wed Dec 17 00:51:17 2014 heaviest cycle: 19 relations Wed Dec 17 00:51:17 2014 RelProcTime: 102 Wed Dec 17 00:51:17 2014 Wed Dec 17 00:51:17 2014 commencing linear algebra Wed Dec 17 00:51:18 2014 read 363777 cycles Wed Dec 17 00:51:18 2014 cycles contain 1135613 unique relations Wed Dec 17 00:51:26 2014 read 1135613 relations Wed Dec 17 00:51:27 2014 using 20 quadratic characters above 134208512 Wed Dec 17 00:51:31 2014 building initial matrix Wed Dec 17 00:51:36 2014 memory use: 140.8 MB Wed Dec 17 00:51:36 2014 read 363777 cycles Wed Dec 17 00:51:36 2014 matrix is 363600 x 363777 (108.9 MB) with weight 32340112 (88.90/col) Wed Dec 17 00:51:36 2014 sparse part has weight 24550015 (67.49/col) Wed Dec 17 00:51:38 2014 filtering completed in 2 passes Wed Dec 17 00:51:38 2014 matrix is 363488 x 363664 (108.9 MB) with weight 32335829 (88.92/col) Wed Dec 17 00:51:38 2014 sparse part has weight 24548225 (67.50/col) Wed Dec 17 00:51:38 2014 matrix starts at (0, 0) Wed Dec 17 00:51:39 2014 matrix is 363488 x 363664 (108.9 MB) with weight 32335829 (88.92/col) Wed Dec 17 00:51:39 2014 sparse part has weight 24548225 (67.50/col) Wed Dec 17 00:51:39 2014 saving the first 48 matrix rows for later Wed Dec 17 00:51:39 2014 matrix includes 64 packed rows Wed Dec 17 00:51:39 2014 matrix is 363440 x 363664 (102.6 MB) with weight 25475017 (70.05/col) Wed Dec 17 00:51:39 2014 sparse part has weight 23264854 (63.97/col) Wed Dec 17 00:51:39 2014 using block size 65536 for processor cache size 8192 kB Wed Dec 17 00:51:39 2014 commencing Lanczos iteration (8 threads) Wed Dec 17 00:51:39 2014 memory use: 99.1 MB Wed Dec 17 00:51:46 2014 linear algebra at 3.3%, ETA 0h 3m Wed Dec 17 00:54:52 2014 lanczos halted after 5749 iterations (dim = 363440) Wed Dec 17 00:54:52 2014 recovered 37 nontrivial dependencies Wed Dec 17 00:54:52 2014 BLanczosTime: 215 Wed Dec 17 00:54:52 2014 Wed Dec 17 00:54:52 2014 commencing square root phase Wed Dec 17 00:54:52 2014 reading relations for dependency 1 Wed Dec 17 00:54:52 2014 read 182041 cycles Wed Dec 17 00:54:52 2014 cycles contain 568278 unique relations Wed Dec 17 00:55:00 2014 read 568278 relations Wed Dec 17 00:55:01 2014 multiplying 568278 relations Wed Dec 17 00:55:12 2014 multiply complete, coefficients have about 18.38 million bits Wed Dec 17 00:55:12 2014 initial square root is modulo 190891 Wed Dec 17 00:55:27 2014 sqrtTime: 35 -- n: 1080456317744809611023240384503694723501108052062461975959376547502165530941256387787536577006309488207770096292878758327776214682251382725611 m: 2000000000000000000000000000000 deg: 5 c5: 5375 c0: -1 skew: 0.18 # Murphy_E = 7.982e-10 type: snfs lss: 1 rlim: 2700000 alim: 2700000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4
software ソフトウェア	yafu v1.34.3
execution environment 実行環境	Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	December 10, 2014 19:49:23 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 23 秒 (日本時間)

172×10¹⁵⁴-19

c106

name 名前	Dmitry Domanov
date 日付	December 9, 2014 13:16:07 UTC 2014 年 12 月 9 日 (火) 22 時 16 分 7 秒 (日本時間)
composite number 合成数	6923085155891305246404368052014622584530556465015426420485232644031033697953272460417094567411238703206307<106>
prime factors 素因数	11323223096541051716101343210212825223731<41> 611405877713928162193369825694075857686798322921003117457543052497<66>
factorization results 素因数分解の結果	N=6923085155891305246404368052014622584530556465015426420485232644031033697953272460417094567411238703206307 ( 106 digits) Divisors found: r1=11323223096541051716101343210212825223731 (pp41) r2=611405877713928162193369825694075857686798322921003117457543052497 (pp66) Version: Msieve v. 1.50 (SVN unknown) Total time: 7.06 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 6923085155891305246404368052014622584530556465015426420485232644031033697953272460417094567411238703206307 skew: 2322962.40 c0: -41132935790321492093789769805 c1: -153569322669046711928888 c2: -20894269135951177 c3: 11711964994 c4: 9936 Y0: -28891601745304428032110924 Y1: 90970957487543 rlim: 2640000 alim: 2640000 lpbr: 26 lpba: 26 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5 type: gnfs Factor base limits: 2640000/2640000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 52/52 Sieved algebraic special-q in [1320000, 2070001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 307185 x 307412 Total sieving time: 6.84 hours. Total relation processing time: 0.07 hours. Matrix solve time: 0.09 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: gnfs,105,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2640000,2640000,26,26,52,52,2.5,2.5,150000 total time: 7.06 hours.

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	418	118	Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
35	1e6	418	300	Ignacio Santos	December 8, 2014 17:06:13 UTC 2014 年 12 月 9 日 (火) 2 時 6 分 13 秒 (日本時間)
40	3e6	110 / 2126		Ignacio Santos	December 8, 2014 17:06:13 UTC 2014 年 12 月 9 日 (火) 2 時 6 分 13 秒 (日本時間)
45	11e6	32 / 4437		Ignacio Santos	December 8, 2014 17:06:13 UTC 2014 年 12 月 9 日 (火) 2 時 6 分 13 秒 (日本時間)

172×10¹⁵⁵-19

c119

name 名前	Cyp
date 日付	December 19, 2014 21:30:46 UTC 2014 年 12 月 20 日 (土) 6 時 30 分 46 秒 (日本時間)
composite number 合成数	11866999498953222581510825923982581718428730376669192107416290946810123745204391667772174843635238742282467406055984103<119>
prime factors 素因数	27685818398353481431549847140714398138353<41> 428630980966738243529241833573890445612527514194451412133252195455833215377751<78>
factorization results 素因数分解の結果	12/19/14 20:13:20 v1.34.3, 12/19/14 20:13:20 v1.34.3, ************************** 12/19/14 20:13:20 v1.34.3, Starting factorization of 11866999498953222581510825923982581718428730376669192107416290946810123745204391667772174843635238742282467406055984103 12/19/14 20:13:20 v1.34.3, using pretesting plan: none 12/19/14 20:13:20 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 12/19/14 20:13:20 v1.34.3, ************************** 12/19/14 20:13:20 v1.34.3, nfs: commencing nfs on c119: 11866999498953222581510825923982581718428730376669192107416290946810123745204391667772174843635238742282467406055984103 12/19/14 20:13:20 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 12/19/14 20:13:20 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/19/14 20:14:17 v1.34.3, nfs: commencing lattice sieving with 8 threads [129 lines snipped] 12/19/14 22:21:51 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/19/14 22:22:51 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/19/14 22:23:50 v1.34.3, nfs: commencing msieve filtering 12/19/14 22:25:31 v1.34.3, nfs: commencing msieve linear algebra 12/19/14 22:30:12 v1.34.3, nfs: commencing msieve sqrt 12/19/14 22:30:45 v1.34.3, prp41 = 27685818398353481431549847140714398138353 12/19/14 22:30:45 v1.34.3, prp78 = 428630980966738243529241833573890445612527514194451412133252195455833215377751 12/19/14 22:30:45 v1.34.3, NFS elapsed time = 8244.7171 seconds. 12/19/14 22:30:45 v1.34.3, 12/19/14 22:30:45 v1.34.3, 12/19/14 22:30:45 v1.34.3, Total factoring time = 8244.7178 seconds -- Fri Dec 19 22:23:50 2014 Fri Dec 19 22:23:50 2014 commencing relation filtering Fri Dec 19 22:23:50 2014 estimated available RAM is 15987.3 MB Fri Dec 19 22:23:50 2014 commencing duplicate removal, pass 1 Fri Dec 19 22:24:16 2014 found 1608227 hash collisions in 10082996 relations Fri Dec 19 22:24:24 2014 added 356017 free relations Fri Dec 19 22:24:24 2014 commencing duplicate removal, pass 2 Fri Dec 19 22:24:32 2014 found 1259392 duplicates and 9179621 unique relations Fri Dec 19 22:24:32 2014 memory use: 41.3 MB Fri Dec 19 22:24:32 2014 reading ideals above 100000 Fri Dec 19 22:24:32 2014 commencing singleton removal, initial pass Fri Dec 19 22:25:11 2014 memory use: 188.2 MB Fri Dec 19 22:25:11 2014 reading all ideals from disk Fri Dec 19 22:25:11 2014 memory use: 311.1 MB Fri Dec 19 22:25:11 2014 keeping 9573616 ideals with weight <= 200, target excess is 46746 Fri Dec 19 22:25:12 2014 commencing in-memory singleton removal Fri Dec 19 22:25:12 2014 begin with 9179621 relations and 9573616 unique ideals Fri Dec 19 22:25:15 2014 reduce to 4245737 relations and 3482175 ideals in 13 passes Fri Dec 19 22:25:15 2014 max relations containing the same ideal: 122 Fri Dec 19 22:25:16 2014 removing 1217193 relations and 862526 ideals in 354668 cliques Fri Dec 19 22:25:16 2014 commencing in-memory singleton removal Fri Dec 19 22:25:16 2014 begin with 3028544 relations and 3482175 unique ideals Fri Dec 19 22:25:17 2014 reduce to 2790729 relations and 2357003 ideals in 9 passes Fri Dec 19 22:25:17 2014 max relations containing the same ideal: 91 Fri Dec 19 22:25:18 2014 removing 1018834 relations and 664166 ideals in 354668 cliques Fri Dec 19 22:25:18 2014 commencing in-memory singleton removal Fri Dec 19 22:25:18 2014 begin with 1771895 relations and 2357003 unique ideals Fri Dec 19 22:25:18 2014 reduce to 1562400 relations and 1456085 ideals in 10 passes Fri Dec 19 22:25:18 2014 max relations containing the same ideal: 60 Fri Dec 19 22:25:19 2014 removing 218790 relations and 166701 ideals in 52089 cliques Fri Dec 19 22:25:19 2014 commencing in-memory singleton removal Fri Dec 19 22:25:19 2014 begin with 1343610 relations and 1456085 unique ideals Fri Dec 19 22:25:19 2014 reduce to 1320028 relations and 1264978 ideals in 7 passes Fri Dec 19 22:25:19 2014 max relations containing the same ideal: 55 Fri Dec 19 22:25:20 2014 relations with 0 large ideals: 1117 Fri Dec 19 22:25:20 2014 relations with 1 large ideals: 646 Fri Dec 19 22:25:20 2014 relations with 2 large ideals: 10141 Fri Dec 19 22:25:20 2014 relations with 3 large ideals: 63463 Fri Dec 19 22:25:20 2014 relations with 4 large ideals: 199569 Fri Dec 19 22:25:20 2014 relations with 5 large ideals: 355989 Fri Dec 19 22:25:20 2014 relations with 6 large ideals: 376411 Fri Dec 19 22:25:20 2014 relations with 7+ large ideals: 312692 Fri Dec 19 22:25:20 2014 commencing 2-way merge Fri Dec 19 22:25:20 2014 reduce to 829320 relation sets and 774270 unique ideals Fri Dec 19 22:25:20 2014 commencing full merge Fri Dec 19 22:25:27 2014 memory use: 99.9 MB Fri Dec 19 22:25:27 2014 found 428293 cycles, need 420470 Fri Dec 19 22:25:28 2014 weight of 420470 cycles is about 29454974 (70.05/cycle) Fri Dec 19 22:25:28 2014 distribution of cycle lengths: Fri Dec 19 22:25:28 2014 1 relations: 29950 Fri Dec 19 22:25:28 2014 2 relations: 39492 Fri Dec 19 22:25:28 2014 3 relations: 44703 Fri Dec 19 22:25:28 2014 4 relations: 44317 Fri Dec 19 22:25:28 2014 5 relations: 43681 Fri Dec 19 22:25:28 2014 6 relations: 40366 Fri Dec 19 22:25:28 2014 7 relations: 36554 Fri Dec 19 22:25:28 2014 8 relations: 31743 Fri Dec 19 22:25:28 2014 9 relations: 26439 Fri Dec 19 22:25:28 2014 10+ relations: 83225 Fri Dec 19 22:25:28 2014 heaviest cycle: 21 relations Fri Dec 19 22:25:28 2014 commencing cycle optimization Fri Dec 19 22:25:28 2014 start with 2645757 relations Fri Dec 19 22:25:30 2014 pruned 82083 relations Fri Dec 19 22:25:30 2014 memory use: 81.5 MB Fri Dec 19 22:25:30 2014 distribution of cycle lengths: Fri Dec 19 22:25:30 2014 1 relations: 29950 Fri Dec 19 22:25:30 2014 2 relations: 40341 Fri Dec 19 22:25:30 2014 3 relations: 46369 Fri Dec 19 22:25:30 2014 4 relations: 45836 Fri Dec 19 22:25:30 2014 5 relations: 45317 Fri Dec 19 22:25:30 2014 6 relations: 41722 Fri Dec 19 22:25:30 2014 7 relations: 37621 Fri Dec 19 22:25:30 2014 8 relations: 32149 Fri Dec 19 22:25:30 2014 9 relations: 26508 Fri Dec 19 22:25:30 2014 10+ relations: 74657 Fri Dec 19 22:25:30 2014 heaviest cycle: 19 relations Fri Dec 19 22:25:31 2014 RelProcTime: 101 Fri Dec 19 22:25:31 2014 Fri Dec 19 22:25:31 2014 commencing linear algebra Fri Dec 19 22:25:31 2014 read 420470 cycles Fri Dec 19 22:25:31 2014 cycles contain 1283669 unique relations Fri Dec 19 22:25:40 2014 read 1283669 relations Fri Dec 19 22:25:41 2014 using 20 quadratic characters above 134216504 Fri Dec 19 22:25:45 2014 building initial matrix Fri Dec 19 22:25:51 2014 memory use: 156.4 MB Fri Dec 19 22:25:51 2014 read 420470 cycles Fri Dec 19 22:25:51 2014 matrix is 420292 x 420470 (124.8 MB) with weight 37512843 (89.22/col) Fri Dec 19 22:25:51 2014 sparse part has weight 28091327 (66.81/col) Fri Dec 19 22:25:53 2014 filtering completed in 2 passes Fri Dec 19 22:25:53 2014 matrix is 420222 x 420400 (124.8 MB) with weight 37510303 (89.23/col) Fri Dec 19 22:25:53 2014 sparse part has weight 28090392 (66.82/col) Fri Dec 19 22:25:54 2014 matrix starts at (0, 0) Fri Dec 19 22:25:54 2014 matrix is 420222 x 420400 (124.8 MB) with weight 37510303 (89.23/col) Fri Dec 19 22:25:54 2014 sparse part has weight 28090392 (66.82/col) Fri Dec 19 22:25:54 2014 saving the first 48 matrix rows for later Fri Dec 19 22:25:54 2014 matrix includes 64 packed rows Fri Dec 19 22:25:54 2014 matrix is 420174 x 420400 (118.2 MB) with weight 29738564 (70.74/col) Fri Dec 19 22:25:54 2014 sparse part has weight 26779405 (63.70/col) Fri Dec 19 22:25:54 2014 using block size 65536 for processor cache size 8192 kB Fri Dec 19 22:25:55 2014 commencing Lanczos iteration (8 threads) Fri Dec 19 22:25:55 2014 memory use: 114.1 MB Fri Dec 19 22:26:02 2014 linear algebra at 2.9%, ETA 0h 3m Fri Dec 19 22:30:12 2014 lanczos halted after 6648 iterations (dim = 420170) Fri Dec 19 22:30:12 2014 recovered 37 nontrivial dependencies Fri Dec 19 22:30:12 2014 BLanczosTime: 281 Fri Dec 19 22:30:12 2014 Fri Dec 19 22:30:12 2014 commencing square root phase Fri Dec 19 22:30:12 2014 reading relations for dependency 1 Fri Dec 19 22:30:12 2014 read 210060 cycles Fri Dec 19 22:30:12 2014 cycles contain 640568 unique relations Fri Dec 19 22:30:20 2014 read 640568 relations Fri Dec 19 22:30:21 2014 multiplying 640568 relations Fri Dec 19 22:30:31 2014 multiply complete, coefficients have about 17.42 million bits Fri Dec 19 22:30:31 2014 initial square root is modulo 100741 Fri Dec 19 22:30:45 2014 sqrtTime: 33 -- n: 11866999498953222581510825923982581718428730376669192107416290946810123745204391667772174843635238742282467406055984103 m: 10000000000000000000000000000000 deg: 5 c5: 172 c0: -1 skew: 0.36 # Murphy_E = 8.623e-10 type: snfs lss: 1 rlim: 2900000 alim: 2900000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4
software ソフトウェア	yafu v1.34.3
execution environment 実行環境	Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	December 10, 2014 19:49:24 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 24 秒 (日本時間)
45	11e6	590 / 4409	Pierre Jammes	December 14, 2014 18:35:21 UTC 2014 年 12 月 15 日 (月) 3 時 35 分 21 秒 (日本時間)

172×10¹⁵⁸-19

c126

name 名前	Cyp
date 日付	December 19, 2014 12:27:38 UTC 2014 年 12 月 19 日 (金) 21 時 27 分 38 秒 (日本時間)
composite number 合成数	679219678304972166600716121235222018709723849104564911674323764955618014787133363303619831113993622272955908597622631973124587<126>
prime factors 素因数	436041983678359448513812215782798049533480056200528020939<57> 1557693304152082520555025240366950964025771389429281079444927044622433<70>
factorization results 素因数分解の結果	12/19/14 10:17:45 v1.34.3, 12/19/14 10:17:45 v1.34.3, ************************** 12/19/14 10:17:45 v1.34.3, Starting factorization of 679219678304972166600716121235222018709723849104564911674323764955618014787133363303619831113993622272955908597622631973124587 12/19/14 10:17:45 v1.34.3, using pretesting plan: none 12/19/14 10:17:45 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 12/19/14 10:17:45 v1.34.3, ************************** 12/19/14 10:17:45 v1.34.3, nfs: commencing nfs on c126: 679219678304972166600716121235222018709723849104564911674323764955618014787133363303619831113993622272955908597622631973124587 12/19/14 10:17:45 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 12/19/14 10:17:45 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/19/14 10:18:45 v1.34.3, nfs: commencing lattice sieving with 8 threads [168 lines snipped] 12/19/14 13:11:01 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/19/14 13:12:02 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/19/14 13:13:01 v1.34.3, nfs: commencing msieve filtering 12/19/14 13:14:51 v1.34.3, nfs: commencing msieve linear algebra 12/19/14 13:24:52 v1.34.3, nfs: commencing msieve sqrt 12/19/14 13:27:38 v1.34.3, prp70 = 1557693304152082520555025240366950964025771389429281079444927044622433 12/19/14 13:27:38 v1.34.3, prp57 = 436041983678359448513812215782798049533480056200528020939 12/19/14 13:27:38 v1.34.3, NFS elapsed time = 11392.1134 seconds. 12/19/14 13:27:38 v1.34.3, 12/19/14 13:27:38 v1.34.3, 12/19/14 13:27:38 v1.34.3, Total factoring time = 11392.1140 seconds -- Fri Dec 19 13:13:01 2014 Fri Dec 19 13:13:01 2014 commencing relation filtering Fri Dec 19 13:13:01 2014 estimated available RAM is 15987.3 MB Fri Dec 19 13:13:01 2014 commencing duplicate removal, pass 1 Fri Dec 19 13:13:29 2014 found 1637667 hash collisions in 10066460 relations Fri Dec 19 13:13:37 2014 added 363934 free relations Fri Dec 19 13:13:37 2014 commencing duplicate removal, pass 2 Fri Dec 19 13:13:45 2014 found 1307043 duplicates and 9123351 unique relations Fri Dec 19 13:13:45 2014 memory use: 41.3 MB Fri Dec 19 13:13:45 2014 reading ideals above 100000 Fri Dec 19 13:13:45 2014 commencing singleton removal, initial pass Fri Dec 19 13:14:25 2014 memory use: 188.2 MB Fri Dec 19 13:14:25 2014 reading all ideals from disk Fri Dec 19 13:14:25 2014 memory use: 314.3 MB Fri Dec 19 13:14:25 2014 keeping 10080183 ideals with weight <= 200, target excess is 45407 Fri Dec 19 13:14:26 2014 commencing in-memory singleton removal Fri Dec 19 13:14:26 2014 begin with 9123351 relations and 10080183 unique ideals Fri Dec 19 13:14:29 2014 reduce to 3652558 relations and 3348246 ideals in 16 passes Fri Dec 19 13:14:29 2014 max relations containing the same ideal: 108 Fri Dec 19 13:14:30 2014 removing 738312 relations and 612492 ideals in 125820 cliques Fri Dec 19 13:14:30 2014 commencing in-memory singleton removal Fri Dec 19 13:14:30 2014 begin with 2914246 relations and 3348246 unique ideals Fri Dec 19 13:14:31 2014 reduce to 2789871 relations and 2605832 ideals in 9 passes Fri Dec 19 13:14:31 2014 max relations containing the same ideal: 92 Fri Dec 19 13:14:32 2014 removing 573923 relations and 448103 ideals in 125820 cliques Fri Dec 19 13:14:32 2014 commencing in-memory singleton removal Fri Dec 19 13:14:32 2014 begin with 2215948 relations and 2605832 unique ideals Fri Dec 19 13:14:32 2014 reduce to 2121686 relations and 2059006 ideals in 8 passes Fri Dec 19 13:14:32 2014 max relations containing the same ideal: 77 Fri Dec 19 13:14:33 2014 removing 75683 relations and 65676 ideals in 10007 cliques Fri Dec 19 13:14:33 2014 commencing in-memory singleton removal Fri Dec 19 13:14:33 2014 begin with 2046003 relations and 2059006 unique ideals Fri Dec 19 13:14:33 2014 reduce to 2044388 relations and 1991709 ideals in 5 passes Fri Dec 19 13:14:33 2014 max relations containing the same ideal: 76 Fri Dec 19 13:14:34 2014 relations with 0 large ideals: 1017 Fri Dec 19 13:14:34 2014 relations with 1 large ideals: 441 Fri Dec 19 13:14:34 2014 relations with 2 large ideals: 7472 Fri Dec 19 13:14:34 2014 relations with 3 large ideals: 54943 Fri Dec 19 13:14:34 2014 relations with 4 large ideals: 214181 Fri Dec 19 13:14:34 2014 relations with 5 large ideals: 469712 Fri Dec 19 13:14:34 2014 relations with 6 large ideals: 617465 Fri Dec 19 13:14:34 2014 relations with 7+ large ideals: 679157 Fri Dec 19 13:14:34 2014 commencing 2-way merge Fri Dec 19 13:14:34 2014 reduce to 1218860 relation sets and 1166181 unique ideals Fri Dec 19 13:14:34 2014 commencing full merge Fri Dec 19 13:14:46 2014 memory use: 148.9 MB Fri Dec 19 13:14:46 2014 found 619014 cycles, need 612381 Fri Dec 19 13:14:46 2014 weight of 612381 cycles is about 43247143 (70.62/cycle) Fri Dec 19 13:14:46 2014 distribution of cycle lengths: Fri Dec 19 13:14:46 2014 1 relations: 65074 Fri Dec 19 13:14:46 2014 2 relations: 65698 Fri Dec 19 13:14:46 2014 3 relations: 64276 Fri Dec 19 13:14:46 2014 4 relations: 59921 Fri Dec 19 13:14:46 2014 5 relations: 54745 Fri Dec 19 13:14:46 2014 6 relations: 49879 Fri Dec 19 13:14:46 2014 7 relations: 44082 Fri Dec 19 13:14:46 2014 8 relations: 39159 Fri Dec 19 13:14:46 2014 9 relations: 33922 Fri Dec 19 13:14:46 2014 10+ relations: 135625 Fri Dec 19 13:14:46 2014 heaviest cycle: 23 relations Fri Dec 19 13:14:46 2014 commencing cycle optimization Fri Dec 19 13:14:47 2014 start with 3875675 relations Fri Dec 19 13:14:50 2014 pruned 98963 relations Fri Dec 19 13:14:50 2014 memory use: 123.2 MB Fri Dec 19 13:14:50 2014 distribution of cycle lengths: Fri Dec 19 13:14:50 2014 1 relations: 65074 Fri Dec 19 13:14:50 2014 2 relations: 66947 Fri Dec 19 13:14:50 2014 3 relations: 66283 Fri Dec 19 13:14:50 2014 4 relations: 61393 Fri Dec 19 13:14:50 2014 5 relations: 56341 Fri Dec 19 13:14:50 2014 6 relations: 50948 Fri Dec 19 13:14:50 2014 7 relations: 44900 Fri Dec 19 13:14:50 2014 8 relations: 39491 Fri Dec 19 13:14:50 2014 9 relations: 34065 Fri Dec 19 13:14:50 2014 10+ relations: 126939 Fri Dec 19 13:14:50 2014 heaviest cycle: 23 relations Fri Dec 19 13:14:51 2014 RelProcTime: 110 Fri Dec 19 13:14:51 2014 Fri Dec 19 13:14:51 2014 commencing linear algebra Fri Dec 19 13:14:51 2014 read 612381 cycles Fri Dec 19 13:14:52 2014 cycles contain 2006118 unique relations Fri Dec 19 13:15:02 2014 read 2006118 relations Fri Dec 19 13:15:04 2014 using 20 quadratic characters above 134207408 Fri Dec 19 13:15:10 2014 building initial matrix Fri Dec 19 13:15:20 2014 memory use: 239.0 MB Fri Dec 19 13:15:20 2014 read 612381 cycles Fri Dec 19 13:15:20 2014 matrix is 612208 x 612381 (183.8 MB) with weight 54623479 (89.20/col) Fri Dec 19 13:15:20 2014 sparse part has weight 41455201 (67.70/col) Fri Dec 19 13:15:23 2014 filtering completed in 2 passes Fri Dec 19 13:15:23 2014 matrix is 612003 x 612176 (183.8 MB) with weight 54616225 (89.22/col) Fri Dec 19 13:15:23 2014 sparse part has weight 41452536 (67.71/col) Fri Dec 19 13:15:24 2014 matrix starts at (0, 0) Fri Dec 19 13:15:24 2014 matrix is 612003 x 612176 (183.8 MB) with weight 54616225 (89.22/col) Fri Dec 19 13:15:24 2014 sparse part has weight 41452536 (67.71/col) Fri Dec 19 13:15:24 2014 saving the first 48 matrix rows for later Fri Dec 19 13:15:24 2014 matrix includes 64 packed rows Fri Dec 19 13:15:24 2014 matrix is 611955 x 612176 (173.0 MB) with weight 42980155 (70.21/col) Fri Dec 19 13:15:24 2014 sparse part has weight 39229250 (64.08/col) Fri Dec 19 13:15:24 2014 using block size 65536 for processor cache size 8192 kB Fri Dec 19 13:15:25 2014 commencing Lanczos iteration (8 threads) Fri Dec 19 13:15:25 2014 memory use: 168.0 MB Fri Dec 19 13:15:28 2014 linear algebra at 0.5%, ETA 0h10m Fri Dec 19 13:24:51 2014 lanczos halted after 9677 iterations (dim = 611947) Fri Dec 19 13:24:52 2014 recovered 33 nontrivial dependencies Fri Dec 19 13:24:52 2014 BLanczosTime: 601 Fri Dec 19 13:24:52 2014 Fri Dec 19 13:24:52 2014 commencing square root phase Fri Dec 19 13:24:52 2014 reading relations for dependency 1 Fri Dec 19 13:24:52 2014 read 306308 cycles Fri Dec 19 13:24:52 2014 cycles contain 1002062 unique relations Fri Dec 19 13:25:01 2014 read 1002062 relations Fri Dec 19 13:25:03 2014 multiplying 1002062 relations Fri Dec 19 13:25:22 2014 multiply complete, coefficients have about 31.91 million bits Fri Dec 19 13:25:23 2014 initial square root is modulo 1459319621 Fri Dec 19 13:25:47 2014 Newton iteration failed to converge Fri Dec 19 13:25:47 2014 algebraic square root failed Fri Dec 19 13:25:47 2014 reading relations for dependency 2 Fri Dec 19 13:25:47 2014 read 306306 cycles Fri Dec 19 13:25:47 2014 cycles contain 1003388 unique relations Fri Dec 19 13:25:56 2014 read 1003388 relations Fri Dec 19 13:25:58 2014 multiplying 1003388 relations Fri Dec 19 13:26:18 2014 multiply complete, coefficients have about 31.95 million bits Fri Dec 19 13:26:18 2014 initial square root is modulo 1501171951 Fri Dec 19 13:26:42 2014 Newton iteration failed to converge Fri Dec 19 13:26:42 2014 algebraic square root failed Fri Dec 19 13:26:42 2014 reading relations for dependency 3 Fri Dec 19 13:26:42 2014 read 305204 cycles Fri Dec 19 13:26:43 2014 cycles contain 1000508 unique relations Fri Dec 19 13:26:51 2014 read 1000508 relations Fri Dec 19 13:26:53 2014 multiplying 1000508 relations Fri Dec 19 13:27:13 2014 multiply complete, coefficients have about 31.86 million bits Fri Dec 19 13:27:13 2014 initial square root is modulo 1412877901 Fri Dec 19 13:27:37 2014 sqrtTime: 165 -- n: 679219678304972166600716121235222018709723849104564911674323764955618014787133363303619831113993622272955908597622631973124587 m: 20000000000000000000000000000000 deg: 5 c5: 5375 c0: -1 skew: 0.18 # Murphy_E = 5.123e-10 type: snfs lss: 1 rlim: 3300000 alim: 3300000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4
software ソフトウェア	yafu v1.34.3
execution environment 実行環境	Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	December 10, 2014 19:49:24 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 24 秒 (日本時間)

172×10¹⁵⁹-19

c130

name 名前	Jo Yeong Uk
date 日付	December 28, 2014 00:33:33 UTC 2014 年 12 月 28 日 (日) 9 時 33 分 33 秒 (日本時間)
composite number 合成数	6950527575033050791427686406116322774125504818217320854620455563834928910330015440616772597104237510174165723476380830274430107093<130>
prime factors 素因数	4625277610012795264260654744936377246572366941002519315071815641<64> 1502726573641019356631966856246189855765550435138854943988857953373<67>
factorization results 素因数分解の結果	Number: 19111_159 N=6950527575033050791427686406116322774125504818217320854620455563834928910330015440616772597104237510174165723476380830274430107093 ( 130 digits) SNFS difficulty: 161 digits. Divisors found: r1=4625277610012795264260654744936377246572366941002519315071815641 r2=1502726573641019356631966856246189855765550435138854943988857953373 Version: Total time: 9.32 hours. Scaled time: 48.91 units (timescale=5.245). Factorization parameters were as follows: n: 6950527575033050791427686406116322774125504818217320854620455563834928910330015440616772597104237510174165723476380830274430107093 m: 100000000000000000000000000000000 deg: 5 c5: 86 c0: -5 skew: 0.57 # Murphy_E = 5.21e-10 type: snfs lss: 1 rlim: 3000000 alim: 3000000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved rational special-q in [1500000, 2850001) Primes: rational ideals reading, algebraic ideals reading, Relations: 9004716 Max relations in full relation-set: Initial matrix: Pruned matrix : 630779 x 631027 Total sieving time: 8.40 hours. Total relation processing time: 0.40 hours. Matrix solve time: 0.37 hours. Time per square root: 0.15 hours. Prototype def-par.txt line would be: snfs,161,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,51,51,2.4,2.4,75000 total time: 9.32 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.88 BogoMIPS (lpj=3399941) Total of 12 processors activated (81598.58 BogoMIPS).
software ソフトウェア	GGNFS / Msieve v1.39
execution environment 実行環境	Core i7-4930K

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	December 10, 2014 19:49:25 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 25 秒 (日本時間)

172×10¹⁶⁰-19

c113

name 名前	Cyp
date 日付	December 12, 2014 06:34:10 UTC 2014 年 12 月 12 日 (金) 15 時 34 分 10 秒 (日本時間)
composite number 合成数	11702400715990660535536791211961316268999721781044202044461143116719969216635954680907889117085219758457611562983<113>
prime factors 素因数	37659457858252685439279132395163057735659<41> 310742676117048747609174400407624734766382148177210150341770366378120437<72>
factorization results 素因数分解の結果	12/12/14 05:11:55 v1.34.3, 12/12/14 05:11:55 v1.34.3, ************************** 12/12/14 05:11:55 v1.34.3, Starting factorization of 11702400715990660535536791211961316268999721781044202044461143116719969216635954680907889117085219758457611562983 12/12/14 05:11:55 v1.34.3, using pretesting plan: none 12/12/14 05:11:55 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 12/12/14 05:11:55 v1.34.3, ************************** 12/12/14 05:11:55 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C113 12/12/14 05:11:55 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C113 12/12/14 05:11:55 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C113 12/12/14 05:11:55 v1.34.3, final ECM pretested depth: 0.00 12/12/14 05:11:55 v1.34.3, scheduler: switching to sieve method 12/12/14 05:11:55 v1.34.3, nfs: commencing nfs on c113: 11702400715990660535536791211961316268999721781044202044461143116719969216635954680907889117085219758457611562983 12/12/14 05:11:55 v1.34.3, nfs: commencing poly selection with 8 threads 12/12/14 05:11:55 v1.34.3, nfs: setting deadline of 650 seconds 12/12/14 05:22:53 v1.34.3, nfs: completed 149 ranges of size 250 in 657.9962 seconds 12/12/14 05:22:53 v1.34.3, nfs: best poly = # norm 1.049609e-10 alpha -6.176658 e 7.115e-10 rroots 5 12/12/14 05:22:53 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/12/14 05:28:22 v1.34.3, nfs: commencing lattice sieving with 8 threads [18 lines snipped] 12/12/14 07:14:38 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/12/14 07:20:32 v1.34.3, nfs: commencing lattice sieving with 8 threads 12/12/14 07:26:10 v1.34.3, nfs: commencing msieve filtering 12/12/14 07:28:03 v1.34.3, nfs: commencing msieve linear algebra 12/12/14 07:33:13 v1.34.3, nfs: commencing msieve sqrt 12/12/14 07:34:09 v1.34.3, prp41 = 37659457858252685439279132395163057735659 12/12/14 07:34:09 v1.34.3, prp72 = 310742676117048747609174400407624734766382148177210150341770366378120437 12/12/14 07:34:09 v1.34.3, NFS elapsed time = 8533.7845 seconds. 12/12/14 07:34:09 v1.34.3, 12/12/14 07:34:09 v1.34.3, 12/12/14 07:34:09 v1.34.3, Total factoring time = 8533.8071 seconds -- Fri Dec 12 07:26:10 2014 Fri Dec 12 07:26:10 2014 commencing relation filtering Fri Dec 12 07:26:10 2014 estimated available RAM is 15987.3 MB Fri Dec 12 07:26:10 2014 commencing duplicate removal, pass 1 Fri Dec 12 07:26:42 2014 found 1040967 hash collisions in 10322232 relations Fri Dec 12 07:26:52 2014 added 62752 free relations Fri Dec 12 07:26:52 2014 commencing duplicate removal, pass 2 Fri Dec 12 07:27:00 2014 found 440656 duplicates and 9944328 unique relations Fri Dec 12 07:27:00 2014 memory use: 41.3 MB Fri Dec 12 07:27:00 2014 reading ideals above 100000 Fri Dec 12 07:27:00 2014 commencing singleton removal, initial pass Fri Dec 12 07:27:44 2014 memory use: 344.5 MB Fri Dec 12 07:27:44 2014 reading all ideals from disk Fri Dec 12 07:27:44 2014 memory use: 340.3 MB Fri Dec 12 07:27:44 2014 keeping 10573813 ideals with weight <= 200, target excess is 74162 Fri Dec 12 07:27:45 2014 commencing in-memory singleton removal Fri Dec 12 07:27:45 2014 begin with 9944328 relations and 10573813 unique ideals Fri Dec 12 07:27:49 2014 reduce to 3916989 relations and 3455885 ideals in 18 passes Fri Dec 12 07:27:49 2014 max relations containing the same ideal: 110 Fri Dec 12 07:27:50 2014 removing 1009210 relations and 821672 ideals in 187538 cliques Fri Dec 12 07:27:50 2014 commencing in-memory singleton removal Fri Dec 12 07:27:50 2014 begin with 2907779 relations and 3455885 unique ideals Fri Dec 12 07:27:51 2014 reduce to 2699333 relations and 2412260 ideals in 11 passes Fri Dec 12 07:27:51 2014 max relations containing the same ideal: 84 Fri Dec 12 07:27:51 2014 removing 770786 relations and 583248 ideals in 187538 cliques Fri Dec 12 07:27:52 2014 commencing in-memory singleton removal Fri Dec 12 07:27:52 2014 begin with 1928547 relations and 2412260 unique ideals Fri Dec 12 07:27:52 2014 reduce to 1750908 relations and 1638180 ideals in 10 passes Fri Dec 12 07:27:52 2014 max relations containing the same ideal: 64 Fri Dec 12 07:27:53 2014 removing 173945 relations and 147245 ideals in 26700 cliques Fri Dec 12 07:27:53 2014 commencing in-memory singleton removal Fri Dec 12 07:27:53 2014 begin with 1576963 relations and 1638180 unique ideals Fri Dec 12 07:27:53 2014 reduce to 1564880 relations and 1478652 ideals in 7 passes Fri Dec 12 07:27:53 2014 max relations containing the same ideal: 58 Fri Dec 12 07:27:53 2014 relations with 0 large ideals: 461 Fri Dec 12 07:27:53 2014 relations with 1 large ideals: 5904 Fri Dec 12 07:27:53 2014 relations with 2 large ideals: 41527 Fri Dec 12 07:27:53 2014 relations with 3 large ideals: 155776 Fri Dec 12 07:27:53 2014 relations with 4 large ideals: 337744 Fri Dec 12 07:27:53 2014 relations with 5 large ideals: 439076 Fri Dec 12 07:27:53 2014 relations with 6 large ideals: 353929 Fri Dec 12 07:27:53 2014 relations with 7+ large ideals: 230463 Fri Dec 12 07:27:53 2014 commencing 2-way merge Fri Dec 12 07:27:54 2014 reduce to 885734 relation sets and 799506 unique ideals Fri Dec 12 07:27:54 2014 commencing full merge Fri Dec 12 07:28:00 2014 memory use: 88.7 MB Fri Dec 12 07:28:00 2014 found 441198 cycles, need 429706 Fri Dec 12 07:28:00 2014 weight of 429706 cycles is about 30236065 (70.36/cycle) Fri Dec 12 07:28:00 2014 distribution of cycle lengths: Fri Dec 12 07:28:00 2014 1 relations: 44145 Fri Dec 12 07:28:00 2014 2 relations: 42916 Fri Dec 12 07:28:00 2014 3 relations: 45081 Fri Dec 12 07:28:00 2014 4 relations: 42998 Fri Dec 12 07:28:00 2014 5 relations: 40587 Fri Dec 12 07:28:00 2014 6 relations: 37252 Fri Dec 12 07:28:00 2014 7 relations: 32974 Fri Dec 12 07:28:00 2014 8 relations: 29428 Fri Dec 12 07:28:00 2014 9 relations: 25384 Fri Dec 12 07:28:00 2014 10+ relations: 88941 Fri Dec 12 07:28:00 2014 heaviest cycle: 19 relations Fri Dec 12 07:28:00 2014 commencing cycle optimization Fri Dec 12 07:28:01 2014 start with 2650289 relations Fri Dec 12 07:28:03 2014 pruned 58959 relations Fri Dec 12 07:28:03 2014 memory use: 89.1 MB Fri Dec 12 07:28:03 2014 distribution of cycle lengths: Fri Dec 12 07:28:03 2014 1 relations: 44145 Fri Dec 12 07:28:03 2014 2 relations: 43817 Fri Dec 12 07:28:03 2014 3 relations: 46578 Fri Dec 12 07:28:03 2014 4 relations: 43979 Fri Dec 12 07:28:03 2014 5 relations: 41605 Fri Dec 12 07:28:03 2014 6 relations: 37766 Fri Dec 12 07:28:03 2014 7 relations: 33674 Fri Dec 12 07:28:03 2014 8 relations: 29662 Fri Dec 12 07:28:03 2014 9 relations: 25341 Fri Dec 12 07:28:03 2014 10+ relations: 83139 Fri Dec 12 07:28:03 2014 heaviest cycle: 19 relations Fri Dec 12 07:28:03 2014 RelProcTime: 113 Fri Dec 12 07:28:03 2014 Fri Dec 12 07:28:03 2014 commencing linear algebra Fri Dec 12 07:28:03 2014 read 429706 cycles Fri Dec 12 07:28:04 2014 cycles contain 1493727 unique relations Fri Dec 12 07:28:16 2014 read 1493727 relations Fri Dec 12 07:28:17 2014 using 20 quadratic characters above 134209184 Fri Dec 12 07:28:21 2014 building initial matrix Fri Dec 12 07:28:29 2014 memory use: 186.9 MB Fri Dec 12 07:28:29 2014 read 429706 cycles Fri Dec 12 07:28:29 2014 matrix is 429527 x 429706 (128.7 MB) with weight 40856084 (95.08/col) Fri Dec 12 07:28:29 2014 sparse part has weight 29020893 (67.54/col) Fri Dec 12 07:28:31 2014 filtering completed in 2 passes Fri Dec 12 07:28:31 2014 matrix is 428869 x 429048 (128.7 MB) with weight 40827116 (95.16/col) Fri Dec 12 07:28:31 2014 sparse part has weight 29010733 (67.62/col) Fri Dec 12 07:28:31 2014 matrix starts at (0, 0) Fri Dec 12 07:28:31 2014 matrix is 428869 x 429048 (128.7 MB) with weight 40827116 (95.16/col) Fri Dec 12 07:28:32 2014 sparse part has weight 29010733 (67.62/col) Fri Dec 12 07:28:32 2014 saving the first 48 matrix rows for later Fri Dec 12 07:28:32 2014 matrix includes 64 packed rows Fri Dec 12 07:28:32 2014 matrix is 428821 x 429048 (124.3 MB) with weight 32418376 (75.56/col) Fri Dec 12 07:28:32 2014 sparse part has weight 28301310 (65.96/col) Fri Dec 12 07:28:32 2014 using block size 65536 for processor cache size 8192 kB Fri Dec 12 07:28:33 2014 commencing Lanczos iteration (8 threads) Fri Dec 12 07:28:33 2014 memory use: 118.4 MB Fri Dec 12 07:28:41 2014 linear algebra at 2.8%, ETA 0h 4m Fri Dec 12 07:33:13 2014 lanczos halted after 6784 iterations (dim = 428819) Fri Dec 12 07:33:13 2014 recovered 27 nontrivial dependencies Fri Dec 12 07:33:13 2014 BLanczosTime: 310 Fri Dec 12 07:33:13 2014 Fri Dec 12 07:33:13 2014 commencing square root phase Fri Dec 12 07:33:13 2014 reading relations for dependency 1 Fri Dec 12 07:33:13 2014 read 214549 cycles Fri Dec 12 07:33:14 2014 cycles contain 746782 unique relations Fri Dec 12 07:33:22 2014 read 746782 relations Fri Dec 12 07:33:24 2014 multiplying 746782 relations Fri Dec 12 07:33:44 2014 multiply complete, coefficients have about 31.45 million bits Fri Dec 12 07:33:44 2014 initial square root is modulo 1076560813 Fri Dec 12 07:34:09 2014 sqrtTime: 56 -- n: 11702400715990660535536791211961316268999721781044202044461143116719969216635954680907889117085219758457611562983 skew: 64754.74 c0: -242233935481299473855593280 c1: 120572074100278094640546 c2: 745512331242730555 c3: -187485621951018 c4: -197359238 c5: 3960 Y0: -4944428650103570057781 Y1: 180900038827 rlim: 3980000 alim: 3980000 lpbr: 27 lpba: 27 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5
software ソフトウェア	yafu v1.34.3
execution environment 実行環境	Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	418	118	Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
35	1e6	418	300	Ignacio Santos	December 8, 2014 22:33:32 UTC 2014 年 12 月 9 日 (火) 7 時 33 分 32 秒 (日本時間)
40	3e6	110 / 2126		Ignacio Santos	December 8, 2014 22:33:32 UTC 2014 年 12 月 9 日 (火) 7 時 33 分 32 秒 (日本時間)
45	11e6	32 / 4437		Ignacio Santos	December 8, 2014 22:33:32 UTC 2014 年 12 月 9 日 (火) 7 時 33 分 32 秒 (日本時間)

172×10¹⁶²-19

c143

name 名前	Serge Batalov
date 日付	December 17, 2014 22:23:30 UTC 2014 年 12 月 18 日 (木) 7 時 23 分 30 秒 (日本時間)
composite number 合成数	31925869682449836023958125812961714069663065654660075409380242703469096564764844363149136019400282671955696730480920157474187760793849604797059<143>
prime factors 素因数	79489619581000785083045209795633068154259<41> 401635708545780978538521453554966445534743729412624737140412399538125169865418309252000594375446949201<102>
factorization results 素因数分解の結果	Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3252497274 Step 1 took 9917ms Step 2 took 6168ms ********** Factor found in step 2: 79489619581000785083045209795633068154259 Found probable prime factor of 41 digits: 79489619581000785083045209795633068154259 Probable prime cofactor

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	December 10, 2014 19:49:25 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 25 秒 (日本時間)

172×10¹⁶⁴-19

c160

name 名前	Serge Batalov
date 日付	December 11, 2014 01:35:58 UTC 2014 年 12 月 11 日 (木) 10 時 35 分 58 秒 (日本時間)
composite number 合成数	1781727411658691882667448969306948436497940188446678647747622041335454417663631203972257675490050140088317741664649274728175211758820819650547316620108679156783<160>
prime factors 素因数	4964515834495838113087191274012487<34>
composite cofactor 合成数の残り	358892482380335039012548671122425402876076740990613790345423687824690440783917829114444368308051471449311328583284577219381209<126>
factorization results 素因数分解の結果	Input number is 1781727411658691882667448969306948436497940188446678647747622041335454417663631203972257675490050140088317741664649274728175211758820819650547316620108679156783 (160 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1052046193 Step 1 took 11067ms Step 2 took 8037ms ********** Factor found in step 2: 4964515834495838113087191274012487 Found probable prime factor of 34 digits: 4964515834495838113087191274012487 Composite cofactor 358892482380335039012548671122425402876076740990613790345423687824690440783917829114444368308051471449311328583284577219381209 has 126 digits

c126

name 名前	Jo Yeong Uk
date 日付	February 15, 2015 00:36:48 UTC 2015 年 2 月 15 日 (日) 9 時 36 分 48 秒 (日本時間)
composite number 合成数	358892482380335039012548671122425402876076740990613790345423687824690440783917829114444368308051471449311328583284577219381209<126>
prime factors 素因数	1924993422946084662088669536049118204144976713<46> 186438290179231912330109111008690567704252587497085557502543253411119397479141393<81>
factorization results 素因数分解の結果	Number: 19111_164 N=358892482380335039012548671122425402876076740990613790345423687824690440783917829114444368308051471449311328583284577219381209 ( 126 digits) SNFS difficulty: 166 digits. Divisors found: r1=1924993422946084662088669536049118204144976713 r2=186438290179231912330109111008690567704252587497085557502543253411119397479141393 Version: Total time: 13.74 hours. Scaled time: 71.14 units (timescale=5.176). Factorization parameters were as follows: n: 358892482380335039012548671122425402876076740990613790345423687824690440783917829114444368308051471449311328583284577219381209 m: 1000000000000000000000000000000000 deg: 5 c5: 86 c0: -5 skew: 0.57 # Murphy_E = 3.32e-10 type: snfs lss: 1 rlim: 4200000 alim: 4200000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 4200000/4200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved rational special-q in [2100000, 4100001) Primes: rational ideals reading, algebraic ideals reading, Relations: 9729490 Max relations in full relation-set: Initial matrix: Pruned matrix : 745274 x 745522 Total sieving time: 12.63 hours. Total relation processing time: 0.48 hours. Matrix solve time: 0.55 hours. Time per square root: 0.08 hours. Prototype def-par.txt line would be: snfs,166,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000 total time: 13.74 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.06 BogoMIPS (lpj=3400031) Total of 12 processors activated (81600.74 BogoMIPS).
software ソフトウェア	GGNFS / Msieve v1.39
execution environment 実行環境	Core i7-4930K

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	2650	300	Serge Batalov	December 10, 2014 19:49:26 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 26 秒 (日本時間)
40	3e6	2650	2350	Ignacio Santos	February 9, 2015 23:16:32 UTC 2015 年 2 月 10 日 (火) 8 時 16 分 32 秒 (日本時間)

172×10¹⁶⁶-19

c136

name 名前	Jo Yeong Uk
date 日付	March 15, 2015 02:42:32 UTC 2015 年 3 月 15 日 (日) 11 時 42 分 32 秒 (日本時間)
composite number 合成数	4419917877098433234572663210239985414175727333511801394348770859291884118721728907344359313506834007309684747400411790546500834915795757<136>
prime factors 素因数	548375691716573207462473427102447544958979119158783766393<57> 8060017874356944050132668372887466456062893493733895420938480341962886821822549<79>
factorization results 素因数分解の結果	Number: 19111_166 N=4419917877098433234572663210239985414175727333511801394348770859291884118721728907344359313506834007309684747400411790546500834915795757 ( 136 digits) SNFS difficulty: 168 digits. Divisors found: r1=548375691716573207462473427102447544958979119158783766393 r2=8060017874356944050132668372887466456062893493733895420938480341962886821822549 Version: Total time: 15.67 hours. Scaled time: 81.96 units (timescale=5.230). Factorization parameters were as follows: n: 4419917877098433234572663210239985414175727333511801394348770859291884118721728907344359313506834007309684747400411790546500834915795757 m: 2000000000000000000000000000000000 deg: 5 c5: 215 c0: -4 skew: 0.45 # Murphy_E = 2.875e-10 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, 4400001) Primes: rational ideals reading, algebraic ideals reading, Relations: 10464849 Max relations in full relation-set: Initial matrix: Pruned matrix : 888538 x 888786 Total sieving time: 14.26 hours. Total relation processing time: 0.54 hours. Matrix solve time: 0.81 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: snfs,168,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000 total time: 15.67 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.94 BogoMIPS (lpj=3399972) Total of 12 processors activated (81599.32 BogoMIPS).
software ソフトウェア	GGNFS / Msieve v1.39
execution environment 実行環境	Core i7-4930K

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	2318	300	Serge Batalov	December 10, 2014 19:49:26 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 26 秒 (日本時間)
40	3e6	2318	2018	Justin Card	February 12, 2015 20:10:55 UTC 2015 年 2 月 13 日 (金) 5 時 10 分 55 秒 (日本時間)

172×10¹⁶⁷-19

c142

name 名前	Jo Yeong Uk
date 日付	March 21, 2015 11:28:22 UTC 2015 年 3 月 21 日 (土) 20 時 28 分 22 秒 (日本時間)
composite number 合成数	3018134927474619370185309646155825443018592185127947918780379353408895199665323289353195228441855830362212252239513343418771174326591434561199<142>
prime factors 素因数	77341565392526445982128217232966159824935761927<47> 39023452811652856107526726721762370905677459419224840220581426831426577099391736449348643123737<95>
factorization results 素因数分解の結果	Number: 19111_167 N=3018134927474619370185309646155825443018592185127947918780379353408895199665323289353195228441855830362212252239513343418771174326591434561199 ( 142 digits) SNFS difficulty: 169 digits. Divisors found: r1=77341565392526445982128217232966159824935761927 r2=39023452811652856107526726721762370905677459419224840220581426831426577099391736449348643123737 Version: Total time: 17.47 hours. Scaled time: 91.80 units (timescale=5.254). Factorization parameters were as follows: n: 3018134927474619370185309646155825443018592185127947918780379353408895199665323289353195228441855830362212252239513343418771174326591434561199 m: 2000000000000000000000000000000000 deg: 5 c5: 1075 c0: -2 skew: 0.28 # Murphy_E = 2.528e-10 type: snfs lss: 1 rlim: 5000000 alim: 5000000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5000000/5000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved rational special-q in [2500000, 4800001) Primes: rational ideals reading, algebraic ideals reading, Relations: 10682014 Max relations in full relation-set: Initial matrix: Pruned matrix : 922900 x 923148 Total sieving time: 15.94 hours. Total relation processing time: 0.60 hours. Matrix solve time: 0.86 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: snfs,169,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000 total time: 17.47 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.89 BogoMIPS (lpj=3399946) Total of 12 processors activated (81598.70 BogoMIPS).
software ソフトウェア	GGNFS / Msieve v1.39
execution environment 実行環境	Core i7-4930K

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	2650	300	Serge Batalov	December 10, 2014 19:49:26 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 26 秒 (日本時間)
40	3e6	2650	2350	Ignacio Santos	February 16, 2015 12:56:27 UTC 2015 年 2 月 16 日 (月) 21 時 56 分 27 秒 (日本時間)

172×10¹⁷⁰-19

c168

name 名前	Cyp
date 日付	December 9, 2014 10:41:03 UTC 2014 年 12 月 9 日 (火) 19 時 41 分 3 秒 (日本時間)
composite number 合成数	111117571435031752492069952387412704873022333339793657253974714292174609634927095244555562015879476196936514396831857149317466777784238101698419158736619054079371539689<168>
prime factors 素因数	1522078294794846567675240713<28> 6246086990604128884451047341121<31> 11687933169206636775059634722767752469422537294373511404786428995653215972235492136112843772757207834627500193<110>
factorization results 素因数分解の結果	Run 10 out of 280: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1948231888 Step 1 took 13470ms Step 2 took 5062ms ******** Factor found in step 2: 1522078294794846567675240713 Found probable prime factor of 28 digits: 1522078294794846567675240713 Composite cofactor 73003847315232060609406740735512648159731281105634554079485504103343850035910815215293187041151528377555664831929558246203598447519564336353 has 140 digits -- Run 230 out of 280: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3731737799 Step 1 took 11504ms Step 2 took 4380ms ******** Factor found in step 2: 6246086990604128884451047341121 Found probable prime factor of 31 digits: 6246086990604128884451047341121 Probable prime cofactor 11687933169206636775059634722767752469422537294373511404786428995653215972235492136112843772757207834627500193 has 110 digits
software ソフトウェア	GMP-ECM 6.4.4
execution environment 実行環境	Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

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 / 259	Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	230 / 2318	Cyp	December 9, 2014 10:41:03 UTC 2014 年 12 月 9 日 (火) 19 時 41 分 3 秒 (日本時間)

172×10¹⁷¹-19

c163

name 名前	Serge Batalov
date 日付	December 11, 2014 01:36:01 UTC 2014 年 12 月 11 日 (木) 10 時 36 分 1 秒 (日本時間)
composite number 合成数	6367614299221157573881911500182755102482798116631808385730072237547390937491329435718916082891571382131470807009698654870477849301276079816089198474921531158751209<163>
prime factors 素因数	1209666478187843505954882751328011<34> 5263942098122983808952825083546531436385517276334185071418040738704579611599214251235435910069055781458851437831642412962979229019<130>
factorization results 素因数分解の結果	Input number is 6367614299221157573881911500182755102482798116631808385730072237547390937491329435718916082891571382131470807009698654870477849301276079816089198474921531158751209 (163 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1919771385 Step 1 took 11017ms Step 2 took 8086ms ********** Factor found in step 2: 1209666478187843505954882751328011 Found probable prime factor of 34 digits: 1209666478187843505954882751328011 Probable prime cofactor 5263942098122983808952825083546531436385517276334185071418040738704579611599214251235435910069055781458851437831642412962979229019 has 130 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	December 10, 2014 19:49:27 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 27 秒 (日本時間)

172×10¹⁷⁶-19

c135

name 名前	Cyp
date 日付	December 7, 2014 12:40:34 UTC 2014 年 12 月 7 日 (日) 21 時 40 分 34 秒 (日本時間)
composite number 合成数	136010036193999183435359769655537031860325500838855918586787644811832004356009988135885679594398972824215816492432884450666523733242001<135>
prime factors 素因数	50399972759257827274517545358204251073<38> 2698613287821983747719108472700865773229168572291278286737117890793963792797664094591562160765137<97>
factorization results 素因数分解の結果	Run 222 out of 280: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3477123666 Step 1 took 9346ms Step 2 took 4027ms ********** Factor found in step 2: 50399972759257827274517545358204251073 Found probable prime factor of 38 digits: 50399972759257827274517545358204251073 Probable prime cofactor 2698613287821983747719108472700865773229168572291278286737117890793963792797664094591562160765137 has 97 digits
software ソフトウェア	GMP-ECM 6.4.4
execution environment 実行環境	Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

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 / 281	Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	222 / 2318	Cyp	December 7, 2014 12:40:33 UTC 2014 年 12 月 7 日 (日) 21 時 40 分 33 秒 (日本時間)

172×10¹⁷⁹-19

c168

name 名前	Serge Batalov
date 日付	December 11, 2014 01:36:05 UTC 2014 年 12 月 11 日 (木) 10 時 36 分 5 秒 (日本時間)
composite number 合成数	116588692716469625451778438999823132244353186970729873464714502520692296993233720780207355783241562586532403007608243353646373395208760438087143044634040705773573975141<168>
prime factors 素因数	154351512276079539526438593073339<33>
composite cofactor 合成数の残り	755345321838727675146408294241735267820064239339705652875985324618852196398185364275473898230937236315397256647544483768857831691220319<135>
factorization results 素因数分解の結果	Input number is 116588692716469625451778438999823132244353186970729873464714502520692296993233720780207355783241562586532403007608243353646373395208760438087143044634040705773573975141 (168 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3852288606 Step 1 took 11061ms Step 2 took 8310ms ********** Factor found in step 2: 154351512276079539526438593073339 Found probable prime factor of 33 digits: 154351512276079539526438593073339 Composite cofactor 755345321838727675146408294241735267820064239339705652875985324618852196398185364275473898230937236315397256647544483768857831691220319 has 135 digits

c135

name 名前	Jo Yeong Uk
date 日付	December 30, 2015 08:15:57 UTC 2015 年 12 月 30 日 (水) 17 時 15 分 57 秒 (日本時間)
composite number 合成数	755345321838727675146408294241735267820064239339705652875985324618852196398185364275473898230937236315397256647544483768857831691220319<135>
prime factors 素因数	3438282609537528850754066581915317364996275619954706892412054591093<67> 219686805192644267371034396102248140962420601642981125111017525537283<69>
factorization results 素因数分解の結果	Number: 19111_179 N=755345321838727675146408294241735267820064239339705652875985324618852196398185364275473898230937236315397256647544483768857831691220319 ( 135 digits) SNFS difficulty: 181 digits. Divisors found: r1=3438282609537528850754066581915317364996275619954706892412054591093 r2=219686805192644267371034396102248140962420601642981125111017525537283 Version: Total time: 50.92 hours. Scaled time: 267.18 units (timescale=5.247). Factorization parameters were as follows: n: 755345321838727675146408294241735267820064239339705652875985324618852196398185364275473898230937236315397256647544483768857831691220319 m: 1000000000000000000000000000000000000 deg: 5 c5: 86 c0: -5 skew: 0.57 # Murphy_E = 8.351e-11 type: snfs lss: 1 rlim: 5800000 alim: 5800000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 5800000/5800000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [2900000, 5300001) Primes: rational ideals reading, algebraic ideals reading, Relations: 17751690 Max relations in full relation-set: Initial matrix: Pruned matrix : 1364808 x 1365055 Total sieving time: 47.48 hours. Total relation processing time: 1.09 hours. Matrix solve time: 2.18 hours. Time per square root: 0.17 hours. Prototype def-par.txt line would be: snfs,181,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,53,53,2.5,2.5,100000 total time: 50.92 hours. --------- CPU info (if available) ----------
software ソフトウェア	GGNFS / Msieve v1.39
execution environment 実行環境	Core i7-4930K

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	December 10, 2014 19:49:27 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 27 秒 (日本時間)
45	11e6	585 / 4409	Cyp	May 13, 2015 06:13:12 UTC 2015 年 5 月 13 日 (水) 15 時 13 分 12 秒 (日本時間)

172×10¹⁸⁰-19

c151

name 名前	Cyp
date 日付	December 7, 2014 16:30:06 UTC 2014 年 12 月 8 日 (月) 1 時 30 分 6 秒 (日本時間)
composite number 合成数	1996379629625117570135634471938808635631383667275811441600520061120362848271756159387893460360560954651713968925949816297248051526803082239900315725697<151>
prime factors 素因数	1503434677026862836140003062423763<34> 1327879195638273127904900966749838312719107244592722168177190172434012229437500370490775351159654742354132418583763419<118>
factorization results 素因数分解の結果	Run 163 out of 280: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1398648986 Step 1 took 11067ms Step 2 took 4563ms ********** Factor found in step 2: 1503434677026862836140003062423763 Found probable prime factor of 34 digits: 1503434677026862836140003062423763 Probable prime cofactor 1327879195638273127904900966749838312719107244592722168177190172434012229437500370490775351159654742354132418583763419 has 118 digits
software ソフトウェア	GMP-ECM 6.4.4
execution environment 実行環境	Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

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 / 447	Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	163 / 2318	Cyp	December 7, 2014 16:30:05 UTC 2014 年 12 月 8 日 (月) 1 時 30 分 5 秒 (日本時間)

172×10¹⁸¹-19

c160

name 名前	Jo Yeong Uk
date 日付	February 14, 2016 12:59:10 UTC 2016 年 2 月 14 日 (日) 21 時 59 分 10 秒 (日本時間)
composite number 合成数	5270133776999112816427282291810916698574986925372464530219608460143914600216074530655816800213955291722737017003372407281079789804745326111310813299346347851657<160>
prime factors 素因数	82279796504357984174170042571633282671740905742526134677501561681<65> 64051371064341146674991965725290421591757619361707346198326430855669938632709726459554178560697<95>
factorization results 素因数分解の結果	Number: 19111_181 N=5270133776999112816427282291810916698574986925372464530219608460143914600216074530655816800213955291722737017003372407281079789804745326111310813299346347851657 ( 160 digits) SNFS difficulty: 183 digits. Divisors found: r1=82279796504357984174170042571633282671740905742526134677501561681 r2=64051371064341146674991965725290421591757619361707346198326430855669938632709726459554178560697 Version: Total time: 59.15 hours. Scaled time: 310.98 units (timescale=5.257). Factorization parameters were as follows: n: 5270133776999112816427282291810916698574986925372464530219608460143914600216074530655816800213955291722737017003372407281079789804745326111310813299346347851657 m: 2000000000000000000000000000000000000 deg: 5 c5: 215 c0: -4 skew: 0.45 # Murphy_E = 7.213e-11 type: snfs lss: 1 rlim: 6200000 alim: 6200000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 6200000/6200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [3100000, 5900001) Primes: rational ideals reading, algebraic ideals reading, Relations: 18225556 Max relations in full relation-set: Initial matrix: Pruned matrix : 1382176 x 1382424 Total sieving time: 55.56 hours. Total relation processing time: 1.32 hours. Matrix solve time: 2.19 hours. Time per square root: 0.08 hours. Prototype def-par.txt line would be: snfs,183,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000 total time: 59.15 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49365468k/51380224k available (5396k kernel code, 1086460k absent, 928296k reserved, 7012k data, 1296k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400121) Total of 12 processors activated (81602.90 BogoMIPS).
software ソフトウェア	GGNFS / Msieve v1.39
execution environment 実行環境	Core i7-4930K

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280	Cyp	December 7, 2014 22:00:56 UTC 2014 年 12 月 8 日 (月) 7 時 0 分 56 秒 (日本時間)
45	11e6	600 / 4413	KTakahashi	May 22, 2015 11:14:59 UTC 2015 年 5 月 22 日 (金) 20 時 14 分 59 秒 (日本時間)

172×10¹⁸²-19

c177

name 名前	Jo Yeong Uk
date 日付	March 31, 2016 14:49:03 UTC 2016 年 3 月 31 日 (木) 23 時 49 分 3 秒 (日本時間)
composite number 合成数	284580958592097256270596650286881597097459530891784235416090369543761958087743688784381495467311963917516988780048254010610203951396682808528818529225049815317712386698930867393<177>
prime factors 素因数	976959389288316513731854283201809564500816381284063<51> 929054345427516946445505619705268987384538071985690157<54> 313536573496967949211856749555041737471665332782208995877130207131044923<72>
factorization results 素因数分解の結果	Number: 19111_182 N=284580958592097256270596650286881597097459530891784235416090369543761958087743688784381495467311963917516988780048254010610203951396682808528818529225049815317712386698930867393 ( 177 digits) SNFS difficulty: 184 digits. Divisors found: r1=976959389288316513731854283201809564500816381284063 r2=929054345427516946445505619705268987384538071985690157 r3=313536573496967949211856749555041737471665332782208995877130207131044923 Version: Total time: 59.28 hours. Scaled time: 309.09 units (timescale=5.214). Factorization parameters were as follows: n: 284580958592097256270596650286881597097459530891784235416090369543761958087743688784381495467311963917516988780048254010610203951396682808528818529225049815317712386698930867393 m: 2000000000000000000000000000000000000 deg: 5 c5: 1075 c0: -2 skew: 0.28 # Murphy_E = 6.334e-11 type: snfs lss: 1 rlim: 6600000 alim: 6600000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 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: 54/54 Sieved rational special-q in [3300000, 6000001) Primes: rational ideals reading, algebraic ideals reading, Relations: 19751197 Max relations in full relation-set: Initial matrix: Pruned matrix : 1459190 x 1459438 Total sieving time: 55.02 hours. Total relation processing time: 1.41 hours. Matrix solve time: 2.52 hours. Time per square root: 0.33 hours. Prototype def-par.txt line would be: snfs,184,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,54,54,2.5,2.5,100000 total time: 59.28 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49365468k/51380224k available (5397k kernel code, 1086460k absent, 928296k reserved, 7011k data, 1296k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.82 BogoMIPS (lpj=3399914) Total of 12 processors activated (81597.93 BogoMIPS).
software ソフトウェア	GGNFS / Msieve v1.39
execution environment 実行環境	Core i7-4930K

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	December 10, 2014 19:49:28 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 28 秒 (日本時間)
45	11e6	600 / 4409	KTakahashi	May 27, 2015 15:19:02 UTC 2015 年 5 月 28 日 (木) 0 時 19 分 2 秒 (日本時間)

172×10¹⁸³-19

c158

name 名前	Jo Yeong Uk
date 日付	May 11, 2016 14:09:16 UTC 2016 年 5 月 11 日 (水) 23 時 9 分 16 秒 (日本時間)
composite number 合成数	29044731120210268886768249716253995152580102912948589280885830784603874077203730122807877175710099341628815697072589667652368635680946544042386006851484968551<158>
prime factors 素因数	246252731868671707327274411574910075806519357149<48> 117946838192641963349889421151865660501679237957956852168577626409253345885571476590885834552504543767811169299<111>
factorization results 素因数分解の結果	GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM] Input number is 29044731120210268886768249716253995152580102912948589280885830784603874077203730122807877175710099341628815697072589667652368635680946544042386006851484968551 (158 digits) Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=7725241135 Step 1 took 116713ms Step 2 took 29972ms ********** Factor found in step 2: 246252731868671707327274411574910075806519357149 Found probable prime factor of 48 digits: 246252731868671707327274411574910075806519357149 Probable prime cofactor 117946838192641963349889421151865660501679237957956852168577626409253345885571476590885834552504543767811169299 has 111 digits
execution environment 実行環境	Core i7-4930K

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280	Cyp	December 7, 2014 16:08:43 UTC 2014 年 12 月 8 日 (月) 1 時 8 分 43 秒 (日本時間)
45	11e6	591 / 4413	Cyp	February 10, 2015 03:46:33 UTC 2015 年 2 月 10 日 (火) 12 時 46 分 33 秒 (日本時間)

172×10¹⁸⁴-19

c181

name 名前	KTakahashi
date 日付	June 4, 2015 08:58:53 UTC 2015 年 6 月 4 日 (木) 17 時 58 分 53 秒 (日本時間)
composite number 合成数	3495146420218202803838971288997807405239874743706196366266960096401015218111361054721394157009292618941661535710439311456155217014047643722656067431941167744675489879315845408861009<181>
prime factors 素因数	115123297007822531827425484679081831<36> 30360027127964468610979479723933030672542767754617326799711995338526469832189747476383731823039159031086356664030947146368790497196022856555541639<146>
factorization results 素因数分解の結果	GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM] Input number is 3495146420218202803838971288997807405239874743706196366266960096401015218111361054721394157009292618941661535710439311456155217014047643722656067431941167744675489879315845408861009 (181 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1252376397 Step 1 took 59639ms ********** Factor found in step 1: 115123297007822531827425484679081831 Found probable prime factor of 36 digits: 115123297007822531827425484679081831 Probable prime cofactor 30360027127964468610979479723933030672542767754617326799711995338526469832189747476383731823039159031086356664030947146368790497196022856555541639 has 146 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280 / 2318		Cyp	December 9, 2014 01:58:19 UTC 2014 年 12 月 9 日 (火) 10 時 58 分 19 秒 (日本時間)

172×10¹⁸⁵-19

c186

name 名前	Robert Backstrom
date 日付	December 22, 2014 11:46:31 UTC 2014 年 12 月 22 日 (月) 20 時 46 分 31 秒 (日本時間)
composite number 合成数	637037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037<186>
prime factors 素因数	2560574042762021318576804096636898756129778923600773036153029687<64> 248786805770272737639297895969285659309916210659533845503190206480011325273070816804537768267014033268049001427130506829051<123>
factorization results 素因数分解の結果	Number: n N=637037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037 ( 186 digits) SNFS difficulty: 187 digits. Divisors found: Mon Dec 22 22:12:01 2014 prp64 factor: 2560574042762021318576804096636898756129778923600773036153029687 Mon Dec 22 22:12:01 2014 prp123 factor: 248786805770272737639297895969285659309916210659533845503190206480011325273070816804537768267014033268049001427130506829051 Mon Dec 22 22:12:01 2014 elapsed time 00:40:34 (Msieve 1.44 - dependency 3) Version: GGNFS-0.77.1-20060513-nocona Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.320). Factorization parameters were as follows: # # N = 172*10^185-1 191(185) # n: 637037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037 m: 10000000000000000000000000000000000000 deg: 5 c5: 172 c0: -1 skew: 0.36 # Murphy_E = 5.523e-11 type: snfs lss: 1 rlim: 9200000 alim: 9200000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 9200000/9200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved special-q in [100000, 10200000) Primes: RFBsize:614917, AFBsize:615120, Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 4013140 hash collisions in 34828189 relations (32121840 unique) Msieve: matrix is 981718 x 981946 (276.7 MB) Total sieving time: 0.00 hours. Total relation processing time: 0hrs 29min 9sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 27sec. Prototype def-par.txt line would be: snfs,187,5,0,0,0,0,0,0,0,0,9200000,9200000,28,28,54,54,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.038684] smpboot: CPU0: Intel(R) Core(TM) i7-4790 CPU @ 3.60GHz (fam: 06, model: 3c, stepping: 03) [ 0.000000] Memory: 16059644K/16661464K available (7373K kernel code, 1159K rwdata, 3228K rodata, 1468K init, 1504K bss, 601820K reserved) [ 1.137325] [drm] Memory usable by graphics device = 2048M [ 0.000027] Calibrating delay loop (skipped), value calculated using timer frequency.. 7200.13 BogoMIPS (lpj=3600065) [ 0.136532] smpboot: Total of 8 processors activated (57601.04 BogoMIPS)

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	2320		Serge Batalov	December 8, 2014 19:27:37 UTC 2014 年 12 月 9 日 (火) 4 時 27 分 37 秒 (日本時間)

172×10¹⁸⁷-19

c152

name 名前	Jo Yeong Uk
date 日付	December 8, 2016 07:13:29 UTC 2016 年 12 月 8 日 (木) 16 時 13 分 29 秒 (日本時間)
composite number 合成数	10394084315260656342126840224902712486336780003939791575649946184660233370676342770535167948508885980530912584451584305887588645646887204146040108341691<152>
prime factors 素因数	165808065101263111768752489905727443025112942616445240289<57> 62687447133001222688413706410130362096077080170729562706281654679071524810193476081577955905819<95>
factorization results 素因数分解の結果	Number: 19111_187 N=10394084315260656342126840224902712486336780003939791575649946184660233370676342770535167948508885980530912584451584305887588645646887204146040108341691 ( 152 digits) SNFS difficulty: 189 digits. Divisors found: r1=165808065101263111768752489905727443025112942616445240289 r2=62687447133001222688413706410130362096077080170729562706281654679071524810193476081577955905819 Version: Total time: 95.56 hours. Scaled time: 499.11 units (timescale=5.223). Factorization parameters were as follows: n: 10394084315260656342126840224902712486336780003939791575649946184660233370676342770535167948508885980530912584451584305887588645646887204146040108341691 m: 20000000000000000000000000000000000000 deg: 5 c5: 1075 c0: -2 skew: 0.28 # Murphy_E = 3.958e-11 type: snfs lss: 1 rlim: 8400000 alim: 8400000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 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: 54/54 Sieved rational special-q in [4200000, 8500001) Primes: rational ideals reading, algebraic ideals reading, Relations: 20699533 Max relations in full relation-set: Initial matrix: Pruned matrix : 1826413 x 1826660 Total sieving time: 88.44 hours. Total relation processing time: 2.31 hours. Matrix solve time: 4.66 hours. Time per square root: 0.15 hours. Prototype def-par.txt line would be: snfs,189,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000 total time: 95.56 hours. --------- CPU info (if available) ----------
software ソフトウェア	GGNFS / Msieve v1.39
execution environment 実行環境	Core i7-4930K

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	December 10, 2014 19:49:28 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 28 秒 (日本時間)
45	11e6	585 / 4409	Cyp	July 27, 2015 21:54:57 UTC 2015 年 7 月 28 日 (火) 6 時 54 分 57 秒 (日本時間)

172×10¹⁹²-19

c169

name 名前	Cyp
date 日付	May 16, 2015 13:53:01 UTC 2015 年 5 月 16 日 (土) 22 時 53 分 1 秒 (日本時間)
composite number 合成数	2324797408102833775503669918674470682106869740863884870551302447372740135951192469600411562819475745825628425479070775649062156026599408036231215229028180642232429929953<169>
prime factors 素因数	2184834583613196954657214410495613289<37> 72125532783197839499317140477354403829<38>
composite cofactor 合成数の残り	14752904017367261461550908706902402201409512107435675102824204146606093811624282275943702031413<95>
factorization results 素因数分解の結果	Run 184 out of 585: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2662095951 Step 1 took 49818ms Step 2 took 17484ms ******** Factor found in step 2: 2184834583613196954657214410495613289 Found probable prime factor of 37 digits: 2184834583613196954657214410495613289 Composite cofactor 1064061062351993525040292329292116143157505855714618817012410053010558856968142624700302982696729459101827311817446470392368845480377 has 133 digits -- Run 305 out of 585: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=327792620 Step 1 took 35615ms ******** Factor found in step 1: 72125532783197839499317140477354403829 Found probable prime factor of 38 digits: 72125532783197839499317140477354403829 Composite cofactor 14752904017367261461550908706902402201409512107435675102824204146606093811624282275943702031413 has 95 digits
software ソフトウェア	GMP-ECM 6.4.4
execution environment 実行環境	Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c95

name 名前	KTakahashi
date 日付	May 16, 2015 23:00:39 UTC 2015 年 5 月 17 日 (日) 8 時 0 分 39 秒 (日本時間)
composite number 合成数	14752904017367261461550908706902402201409512107435675102824204146606093811624282275943702031413<95>
prime factors 素因数	6727700458105302284936517967815064169232997<43> 2192859820266443306018451470664883749270261295408529<52>
factorization results 素因数分解の結果	Msieve v. 1.51 (SVN Official Release) Sat May 16 15:32:30 2015 random seeds: 5e6fd968 3063b509 factoring 14752904017367261461550908706902402201409512107435675102824204146606093811624282275943702031413 (95 digits) searching for 15-digit factors commencing quadratic sieve (95-digit input) using multiplier of 17 using VC8 64kb sieve core sieve interval: 18 blocks of size 65536 processing polynomials in batches of 6 using a sieve bound of 2091707 (77647 primes) using large prime bound of 297022394 (28 bits) using double large prime bound of 1782462870767764 (42-51 bits) using trial factoring cutoff of 51 bits polynomial 'A' values have 12 factors 78013 relations (18477 full + 59536 combined from 1141180 partial), need 77743 begin with 1159657 relations reduce to 205002 relations in 11 passes attempting to read 205002 relations recovered 205002 relations recovered 191309 polynomials attempting to build 78013 cycles found 78013 cycles in 6 passes distribution of cycle lengths: length 1 : 18477 length 2 : 13649 length 3 : 13161 length 4 : 10620 length 5 : 8066 length 6 : 5585 length 7 : 3499 length 9+: 4956 largest cycle: 20 relations matrix is 77647 x 78013 (22.4 MB) with weight 5238267 (67.15/col) sparse part has weight 5238267 (67.15/col) filtering completed in 3 passes matrix is 74247 x 74311 (21.3 MB) with weight 5001678 (67.31/col) sparse part has weight 5001678 (67.31/col) saving the first 48 matrix rows for later matrix includes 64 packed rows matrix is 74199 x 74311 (14.8 MB) with weight 4046419 (54.45/col) sparse part has weight 3126192 (42.07/col) using block size 29679 for processor cache size 1024 kB commencing Lanczos iteration memory use: 9.1 MB linear algebra at 64.8%, ETA 0h 0m lanczos halted after 1175 iterations (dim = 74199) recovered 18 nontrivial dependencies prp43 factor: 6727700458105302284936517967815064169232997 prp52 factor: 2192859820266443306018451470664883749270261295408529 elapsed time 03:50:20

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	December 10, 2014 19:49:29 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 29 秒 (日本時間)
45	11e6	585 / 4409	Cyp	May 16, 2015 13:53:01 UTC 2015 年 5 月 16 日 (土) 22 時 53 分 1 秒 (日本時間)

172×10¹⁹⁴-19

c137

name 名前	Erik Branger
date 日付	December 17, 2014 16:41:20 UTC 2014 年 12 月 18 日 (木) 1 時 41 分 20 秒 (日本時間)
composite number 合成数	21020482586174338705228036027643619511563896785484108014773527195960357817211591831792415602826353569143922486136489882721652965348810917<137>
prime factors 素因数	52116816110282485688905149534140976200387527<44> 76948113714702999839053298173533392477861923<44> 5241635631420596167159122468944271899165346150577<49>
factorization results 素因数分解の結果	Number: 19111_194 N = 21020482586174338705228036027643619511563896785484108014773527195960357817211591831792415602826353569143922486136489882721652965348810917 (137 digits) Divisors found: r1=52116816110282485688905149534140976200387527 (pp44) r2=76948113714702999839053298173533392477861923 (pp44) r3=5241635631420596167159122468944271899165346150577 (pp49) Version: Msieve v. 1.51 (SVN Official Release) Total time: 113.58 hours. Factorization parameters were as follows: # Murphy_E = 3.312e-11, selected by Erik Branger # expecting poly E from 3.43e-011 to > 3.95e-011 n: 21020482586174338705228036027643619511563896785484108014773527195960357817211591831792415602826353569143922486136489882721652965348810917 Y0: -296070043056079912792267645 Y1: 365339378544391 c0: -1042296969832898949689934649035648 c1: 7106791454578175094333981872 c2: 19268407825301440471578 c3: -42029342221367739 c4: -27986543902 c5: 9240 skew: 865924.19 type: gnfs # selected mechanically rlim: 14500000 alim: 14500000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.6 alambda: 2.6 Factor base limits: 14500000/14500000 Large primes per side: 3 Large prime bits: 28/28 Sieved algebraic special-q in [0, 0) Total raw relations: 22482141 Relations: 3700984 relations Pruned matrix : 2225445 x 2225674 Polynomial selection time: 0.00 hours. Total sieving time: 109.84 hours. Total relation processing time: 0.13 hours. Matrix solve time: 3.23 hours. time per square root: 0.38 hours. Prototype def-par.txt line would be: gnfs,136,5,65,2000,1e-05,0.28,250,20,50000,3600,14500000,14500000,28,28,55,55,2.6,2.6,100000 total time: 113.58 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-7-6.1.7601-SP1 processors: 8, speed: 3.50GHz
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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	2600	280	Cyp	December 7, 2014 02:50:31 UTC 2014 年 12 月 7 日 (日) 11 時 50 分 31 秒 (日本時間)
40	3e6	2600	2320	Serge Batalov	December 9, 2014 19:25:54 UTC 2014 年 12 月 10 日 (水) 4 時 25 分 54 秒 (日本時間)

172×10¹⁹⁵-19

c195

name 名前	Serge Batalov
date 日付	December 11, 2014 07:23:25 UTC 2014 年 12 月 11 日 (木) 16 時 23 分 25 秒 (日本時間)
composite number 合成数	830917874396135265700483091787439613526570048309178743961352657004830917874396135265700483091787439613526570048309178743961352657004830917874396135265700483091787439613526570048309178743961352657<195>
prime factors 素因数	686057278861320728879577468435055740788779985815293745154188095313704499<72> 1211149418566400174124812415431741048408056398112356930455021985527379746988186079683978629014932252454406200624600421540843<124>
factorization results 素因数分解の結果	RelProcTime: 1200 BLanczosTime: 3026 sqrtTime: 1452 prp72 factor: 686057278861320728879577468435055740788779985815293745154188095313704499 prp124 factor: 1211149418566400174124812415431741048408056398112356930455021985527379746988186079683978629014932252454406200624600421540843

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	2320		Serge Batalov	December 9, 2014 00:57:35 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 35 秒 (日本時間)

172×10¹⁹⁶-19

c150

name 名前	Jo Yeong Uk
date 日付	November 27, 2017 10:29:50 UTC 2017 年 11 月 27 日 (月) 19 時 29 分 50 秒 (日本時間)
composite number 合成数	131490423791972621014177447739776803287282963189494449305227445347185430835600436348434034379700195933097350792846999312871767852247897180468418093973<150>
prime factors 素因数	772229889081778359199668988354255760270382114749280009928479119633332303<72> 170273678409834145876901054157912495042888973626978515925427583328476536604891<78>
factorization results 素因数分解の結果	Number: 19111_196 N=131490423791972621014177447739776803287282963189494449305227445347185430835600436348434034379700195933097350792846999312871767852247897180468418093973 ( 150 digits) SNFS difficulty: 198 digits. Divisors found: r1=772229889081778359199668988354255760270382114749280009928479119633332303 r2=170273678409834145876901054157912495042888973626978515925427583328476536604891 Version: Total time: 184.91 hours. Scaled time: 969.12 units (timescale=5.241). Factorization parameters were as follows: n: 131490423791972621014177447739776803287282963189494449305227445347185430835600436348434034379700195933097350792846999312871767852247897180468418093973 m: 2000000000000000000000000000000000000000 deg: 5 c5: 215 c0: -4 skew: 0.45 # Murphy_E = 1.74e-11 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, 13900001) Primes: rational ideals reading, algebraic ideals reading, Relations: 34477689 Max relations in full relation-set: Initial matrix: Pruned matrix : 2736806 x 2737054 Total sieving time: 165.50 hours. Total relation processing time: 6.57 hours. Matrix solve time: 12.65 hours. Time per square root: 0.19 hours. Prototype def-par.txt line would be: snfs,198,5,0,0,0,0,0,0,0,0,13000000,13000000,29,29,55,55,2.5,2.5,100000 total time: 184.91 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49367800k/51380224k available (5468k kernel code, 1086464k absent, 925960k reserved, 6953k data, 1316k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.02 BogoMIPS (lpj=3400013) Total of 12 processors activated (81600.31 BogoMIPS).
software ソフトウェア	GGNFS / Msieve v1.39
execution environment 実行環境	Core i7-4930K

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280	Cyp	December 7, 2014 01:55:12 UTC 2014 年 12 月 7 日 (日) 10 時 55 分 12 秒 (日本時間)
45	11e6	591 / 4413	Cyp	May 14, 2015 16:24:33 UTC 2015 年 5 月 15 日 (金) 1 時 24 分 33 秒 (日本時間)

172×10¹⁹⁸-19

c124

name 名前	Erik Branger
date 日付	December 18, 2014 17:00:21 UTC 2014 年 12 月 19 日 (金) 2 時 0 分 21 秒 (日本時間)
composite number 合成数	1725077072564155977815433592616937268412489216706320497749701631921244548632395241172463219034813455709150937420507757883557<124>
prime factors 素因数	1688226710449939225201656268935458685753917191<46> 1021827851606728545346868226062388031596986358789289381811007616607694653373427<79>
factorization results 素因数分解の結果	Number: 19111_198 N = 1725077072564155977815433592616937268412489216706320497749701631921244548632395241172463219034813455709150937420507757883557 (124 digits) Divisors found: r1=1688226710449939225201656268935458685753917191 (pp46) r2=1021827851606728545346868226062388031596986358789289381811007616607694653373427 (pp79) Version: Msieve v. 1.51 (SVN 845) Total time: 33.35 hours. Factorization parameters were as follows: n: 1725077072564155977815433592616937268412489216706320497749701631921244548632395241172463219034813455709150937420507757883557 Y0: -854254706756029960158961 Y1: 4566307032023 c0: 6179663826789372503939367502200 c1: 52279832942900052620245686 c2: -596063374853060800531 c3: -544198748824048 c4: 5345908436 c5: 3792 skew: 340934.18 type: gnfs Factor base limits: 5200000/5200000 Large primes per side: 3 Large prime bits: 27/27 Sieved algebraic special-q in [0, 0) Total raw relations: 10902883 Relations: 1428276 relations Pruned matrix : 822867 x 823105 Polynomial selection time: 0.00 hours. Total sieving time: 32.48 hours. Total relation processing time: 0.06 hours. Matrix solve time: 0.52 hours. time per square root: 0.29 hours. Prototype def-par.txt line would be: gnfs,123,5,65,2000,1e-05,0.28,250,20,50000,3600,5200000,5200000,27,27,53,53,2.5,2.5,100000 total time: 33.35 hours. Intel64 Family 6 Model 58 Stepping 9, GenuineIntel Windows-7-6.1.7601-SP1 processors: 8, speed: 2.29GHz
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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	2320		Serge Batalov	December 9, 2014 00:57:19 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 19 秒 (日本時間)

172×10¹⁹⁹-19

c177

name 名前	Jo Yeong Uk
date 日付	June 25, 2018 03:17:26 UTC 2018 年 6 月 25 日 (月) 12 時 17 分 26 秒 (日本時間)
composite number 合成数	221889793589901091206774288894973486669054544541033181905663546688320153622318673000002610493538129259215844177191665876276974155466111553838459839977129549692202577663745582559<177>
prime factors 素因数	1199742141295217005703664129219138234751436653816762822649543<61> 184947903347258788144398329623482407552512653194362179974833352272982508384940403705239448531775949679148004315369513<117>
factorization results 素因数分解の結果	Number: 19111_199 N=221889793589901091206774288894973486669054544541033181905663546688320153622318673000002610493538129259215844177191665876276974155466111553838459839977129549692202577663745582559 ( 177 digits) SNFS difficulty: 201 digits. Divisors found: r1=1199742141295217005703664129219138234751436653816762822649543 r2=184947903347258788144398329623482407552512653194362179974833352272982508384940403705239448531775949679148004315369513 Version: Total time: 240.90 hours. Scaled time: 1265.68 units (timescale=5.254). Factorization parameters were as follows: n: 221889793589901091206774288894973486669054544541033181905663546688320153622318673000002610493538129259215844177191665876276974155466111553838459839977129549692202577663745582559 m: 10000000000000000000000000000000000000000 deg: 5 c5: 86 c0: -5 skew: 0.57 # Murphy_E = 1.248e-11 type: snfs lss: 1 rlim: 16000000 alim: 16000000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 16000000/16000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 56/56 Sieved rational special-q in [8000000, 17000001) Primes: rational ideals reading, algebraic ideals reading, Relations: 38688005 Max relations in full relation-set: Initial matrix: Pruned matrix : 3199286 x 3199532 Total sieving time: 217.90 hours. Total relation processing time: 4.11 hours. Matrix solve time: 18.65 hours. Time per square root: 0.24 hours. Prototype def-par.txt line would be: snfs,201,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.6,2.6,100000 total time: 240.90 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49367612k/51380224k available (5516k kernel code, 1086464k absent, 926148k reserved, 6912k data, 1332k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.92 BogoMIPS (lpj=3399960) Total of 12 processors activated (81599.04 BogoMIPS).
software ソフトウェア	GGNFS / Msieve v1.39
execution environment 実行環境	Core i7-4930K

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	580	280	Cyp	December 10, 2014 15:32:31 UTC 2014 年 12 月 11 日 (木) 0 時 32 分 31 秒 (日本時間)
40	3e6	580	300	Serge Batalov	December 10, 2014 19:49:29 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 29 秒 (日本時間)
45	11e6	504 / 4347		Cyp	June 3, 2015 05:21:58 UTC 2015 年 6 月 3 日 (水) 14 時 21 分 58 秒 (日本時間)

172×10²⁰⁰-19

c162

name 名前	Serge Batalov
date 日付	December 11, 2014 01:36:08 UTC 2014 年 12 月 11 日 (木) 10 時 36 分 8 秒 (日本時間)
composite number 合成数	164825261165300029836118954702276461847546327014724404970213369377874457500204520317240699111139805862093916835663509685951251902523766099979156655280010952762461<162>
prime factors 素因数	448393880613864435914802517009<30>
composite cofactor 合成数の残り	367590344764851362822605188958211939368490494612449648147965399829307636449904955439268491011865082634776323825915642361946040018829<132>
factorization results 素因数分解の結果	Input number is 164825261165300029836118954702276461847546327014724404970213369377874457500204520317240699111139805862093916835663509685951251902523766099979156655280010952762461 (162 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4013274867 Step 1 took 10981ms Step 2 took 8047ms ********** Factor found in step 2: 448393880613864435914802517009 Found probable prime factor of 30 digits: 448393880613864435914802517009 Composite cofactor 367590344764851362822605188958211939368490494612449648147965399829307636449904955439268491011865082634776323825915642361946040018829 has 132 digits

c132

name 名前	Serge Batalov
date 日付	December 18, 2014 00:22:16 UTC 2014 年 12 月 18 日 (木) 9 時 22 分 16 秒 (日本時間)
composite number 合成数	367590344764851362822605188958211939368490494612449648147965399829307636449904955439268491011865082634776323825915642361946040018829<132>
prime factors 素因数	4441467044392767968693262974415722814127<40> 82763271930369095546103520686113646376912439621149561465823550304425958890199498433316356227<92>
factorization results 素因数分解の結果	Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=3151848765 Step 1 took 27886ms Step 2 took 17462ms ********** Factor found in step 2: 4441467044392767968693262974415722814127 Found probable prime factor of 40 digits: 4441467044392767968693262974415722814127 Probable prime cofactor

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	December 10, 2014 19:49:29 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 29 秒 (日本時間)
45	11e6	1000 / 4409	Serge Batalov	December 18, 2014 00:18:24 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 24 秒 (日本時間)

172×10²⁰⁴-19

c173

name 名前	Serge Batalov
date 日付	December 10, 2014 20:30:46 UTC 2014 年 12 月 11 日 (木) 5 時 30 分 46 秒 (日本時間)
composite number 合成数	22610338051313773559298934726149888497291379055608313679023811393779288534914613912133852313819370835366374825276271557536124545284806183575249183364900471068810044544717511<173>
prime factors 素因数	5835039968336549183035776309149<31> 1633407817000112045838357684504497<34> 2372294438795576678814182403721909313820723859237813730793988340055430561995771065396457143601961791784852387<109>
factorization results 素因数分解の結果	Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3554726157 Step 1 took 10913ms Step 2 took 8712ms ******** Factor found in step 2: 5835039968336549183035776309149 Found probable prime factor of 31 digits: 5835039968336549183035776309149 -- Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2232005258 Step 1 took 11037ms ******** Factor found in step 1: 1633407817000112045838357684504497 Found probable prime factor of 34 digits: 1633407817000112045838357684504497

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	December 10, 2014 19:49:30 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 30 秒 (日本時間)

172×10²⁰⁶-19

c153

name 名前	Cyp
date 日付	July 27, 2015 20:27:38 UTC 2015 年 7 月 28 日 (火) 5 時 27 分 38 秒 (日本時間)
composite number 合成数	406577573828731962945844076986585836613912397288307950636912652283668842127719200704069556634066344282209034446583884527021683857261665377177219465416869<153>
prime factors 素因数	8007741388564832285437507429245709<34>
composite cofactor 合成数の残り	50773064975516126972238359803802258430220419695182825036006491582899087705000361926613501796148098460463044866079989241<119>
factorization results 素因数分解の結果	Run 94 out of 591: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2098485435 Step 1 took 42287ms Step 2 took 15703ms ********** Factor found in step 2: 8007741388564832285437507429245709 Found probable prime factor of 34 digits: 8007741388564832285437507429245709 Composite cofactor 50773064975516126972238359803802258430220419695182825036006491582899087705000361926613501796148098460463044866079989241 has 119 digits
software ソフトウェア	GMP-ECM 6.4.4
execution environment 実行環境	Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c119

name 名前	Dmitry Domanov
date 日付	July 29, 2015 04:35:32 UTC 2015 年 7 月 29 日 (水) 13 時 35 分 32 秒 (日本時間)
composite number 合成数	50773064975516126972238359803802258430220419695182825036006491582899087705000361926613501796148098460463044866079989241<119>
prime factors 素因数	205527083502125694153329966958556132302315559553<48> 247038317823407439459883506987178503211291850356877088437316611478034297<72>
factorization results 素因数分解の結果	N=50773064975516126972238359803802258430220419695182825036006491582899087705000361926613501796148098460463044866079989241 ( 119 digits) Divisors found: r1=205527083502125694153329966958556132302315559553 (pp48) r2=247038317823407439459883506987178503211291850356877088437316611478034297 (pp72) Version: Msieve v. 1.50 (SVN unknown) Total time: 30.50 hours. Scaled time: 64.66 units (timescale=2.120). Factorization parameters were as follows: n: 50773064975516126972238359803802258430220419695182825036006491582899087705000361926613501796148098460463044866079989241 skew: 47585.98 c0: 1658651654236290661935610515 c1: 293922754550611446310998 c2: 9562803680187537077 c3: -286767411415078 c4: -2204507452 c5: 37740 Y0: -66952425323624427352544 Y1: 221121129427 rlim: 5300000 alim: 5300000 lpbr: 27 lpba: 27 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 qintsize: 120000 type: gnfs Factor base limits: 5300000/5300000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 54/54 Sieved algebraic special-q in [2650000, 4210001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 733447 x 733671 Total sieving time: 29.80 hours. Total relation processing time: 0.13 hours. Matrix solve time: 0.50 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5300000,5300000,27,27,54,54,2.5,2.5,100000 total time: 30.50 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280	Cyp	December 6, 2014 17:09:51 UTC 2014 年 12 月 7 日 (日) 2 時 9 分 51 秒 (日本時間)
45	11e6	591 / 4413	Cyp	July 27, 2015 20:27:37 UTC 2015 年 7 月 28 日 (火) 5 時 27 分 37 秒 (日本時間)

172×10²⁰⁸-19

c190

name 名前	Bob Backstrom
date 日付	August 3, 2021 13:30:00 UTC 2021 年 8 月 3 日 (火) 22 時 30 分 0 秒 (日本時間)
composite number 合成数	1293330358536703858555017662803134630243467026286385741472778417641309071075981352090988484601003339581036944904606651784014916598765757145965508870804957171962164429160066544929161691410813<190>
prime factors 素因数	806311863085845862414519121736454392447024469724463193406900023645727<69> 1604007602699758917700323489586638469930766017417847515963049586163611313297059003065372208807333194632328220158458146019<121>
factorization results 素因数分解の結果	Number: n N=1293330358536703858555017662803134630243467026286385741472778417641309071075981352090988484601003339581036944904606651784014916598765757145965508870804957171962164429160066544929161691410813 ( 190 digits) SNFS difficulty: 210 digits. Divisors found: Tue Aug 3 23:23:51 2021 p69 factor: 806311863085845862414519121736454392447024469724463193406900023645727 Tue Aug 3 23:23:51 2021 p121 factor: 1604007602699758917700323489586638469930766017417847515963049586163611313297059003065372208807333194632328220158458146019 Tue Aug 3 23:23:51 2021 elapsed time 04:26:01 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.347). Factorization parameters were as follows: # # N = 172x10^208-1 = 191(208) # n: 1293330358536703858555017662803134630243467026286385741472778417641309071075981352090988484601003339581036944904606651784014916598765757145965508870804957171962164429160066544929161691410813 m: 200000000000000000000000000000000000000000 deg: 5 c5: 5375 c0: -1 skew: 0.18 # Murphy_E = 4.717e-12 type: snfs lss: 1 rlim: 22000000 alim: 22000000 lpbr: 29 lpba: 29 mfbr: 57 mfba: 57 rlambda: 2.6 alambda: 2.6 Factor base limits: 22000000/22000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 57/57 Sieved special-q in [100000, 45400000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 8126630 hash collisions in 54243568 relations (47929270 unique) Msieve: matrix is 3252507 x 3252734 (1137.4 MB) Sieving start time : 2021/08/03 02:17:52 Sieving end time : 2021/08/03 18:56:32 Total sieving time: 16hrs 38min 40secs. Total relation processing time: 3hrs 59min 36sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 10min 42sec. Prototype def-par.txt line would be: snfs,210,5,0,0,0,0,0,0,0,0,22000000,22000000,29,29,57,57,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.119240] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16239968K/16727236K available (14339K kernel code, 2400K rwdata, 5012K rodata, 2736K init, 4964K bss, 487268K reserved, 0K cma-reserved) [ 0.152638] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.25 BogoMIPS (lpj=12798512) [ 0.150211] smpboot: Total of 16 processors activated (102388.09 BogoMIPS)

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280	Cyp	December 7, 2014 07:52:11 UTC 2014 年 12 月 7 日 (日) 16 時 52 分 11 秒 (日本時間)
45	11e6	591	Cyp	January 31, 2015 08:13:38 UTC 2015 年 1 月 31 日 (土) 17 時 13 分 38 秒 (日本時間)
50	43e6	5000 / 7410	yoyo@Home	March 8, 2020 02:00:43 UTC 2020 年 3 月 8 日 (日) 11 時 0 分 43 秒 (日本時間)

172×10²⁰⁹-19

c169

name 名前	Serge Batalov
date 日付	December 11, 2014 01:36:12 UTC 2014 年 12 月 11 日 (木) 10 時 36 分 12 秒 (日本時間)
composite number 合成数	6581972645561880003926359887022253276722145808716091091206263188907719139698619081212192291611867423999997608606380009830680664908004320971609739900291725363031702378701<169>
prime factors 素因数	467044630233104211531375308947<30> 14092813019339898923137243084543234993406697706083103632545664671538954769629588386335851800507595532118822795987541654045855268864099716383<140>
factorization results 素因数分解の結果	Input number is 6581972645561880003926359887022253276722145808716091091206263188907719139698619081212192291611867423999997608606380009830680664908004320971609739900291725363031702378701 (169 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3101387299 Step 1 took 11047ms Step 2 took 8302ms ********** Factor found in step 2: 467044630233104211531375308947 Found probable prime factor of 30 digits: 467044630233104211531375308947 Probable prime cofactor 14092813019339898923137243084543234993406697706083103632545664671538954769629588386335851800507595532118822795987541654045855268864099716383 has 140 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300 / 2318		Serge Batalov	December 10, 2014 19:49:30 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 30 秒 (日本時間)

172×10²¹⁰-19

c162

composite cofactor 合成数の残り	109334184261178390075635609415590623604162662789460431548572608231170058290285509473264862697801175047677297643552715679659831395036752609259300147703801274608069<162>

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280		Cyp	December 9, 2014 16:05:20 UTC 2014 年 12 月 10 日 (水) 1 時 5 分 20 秒 (日本時間)
45	11e6	4592	591	Cyp	July 27, 2015 23:06:22 UTC 2015 年 7 月 28 日 (火) 8 時 6 分 22 秒 (日本時間)
45	11e6	4592	4001	Thomas Kozlowski	January 8, 2025 17:33:50 UTC 2025 年 1 月 9 日 (木) 2 時 33 分 50 秒 (日本時間)

172×10²¹¹-19

c163

name 名前	Serge Batalov
date 日付	December 11, 2014 01:36:15 UTC 2014 年 12 月 11 日 (木) 10 時 36 分 15 秒 (日本時間)
composite number 合成数	1621431860406609250469270960186976394729845673115807409964270027605660541399874554401934958282882242073544081046110380743660220805924253631708514859717428622521499<163>
prime factors 素因数	4112121346460197889530178055952817<34>
composite cofactor 合成数の残り	394305450592398620883597635487470853694810796995540439627664846280986480408527065831036109089781761879719973254515901607912782347<129>
factorization results 素因数分解の結果	Input number is 1621431860406609250469270960186976394729845673115807409964270027605660541399874554401934958282882242073544081046110380743660220805924253631708514859717428622521499 (163 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3035897270 Step 1 took 11727ms Step 2 took 9810ms ********** Factor found in step 2: 4112121346460197889530178055952817 Found probable prime factor of 34 digits: 4112121346460197889530178055952817 Composite cofactor 394305450592398620883597635487470853694810796995540439627664846280986480408527065831036109089781761879719973254515901607912782347 has 129 digits

c129

name 名前	Erik Branger
date 日付	February 20, 2015 23:08:48 UTC 2015 年 2 月 21 日 (土) 8 時 8 分 48 秒 (日本時間)
composite number 合成数	394305450592398620883597635487470853694810796995540439627664846280986480408527065831036109089781761879719973254515901607912782347<129>
prime factors 素因数	145531715166282183268838522040749340193780521329618059<54> 2709412516315578307413787442402320781976296074093546008945866964123824789633<76>
factorization results 素因数分解の結果	Number: 19111_211 N = 394305450592398620883597635487470853694810796995540439627664846280986480408527065831036109089781761879719973254515901607912782347 (129 digits) Divisors found: r1=145531715166282183268838522040749340193780521329618059 (pp54) r2=2709412516315578307413787442402320781976296074093546008945866964123824789633 (pp76) Version: Msieve v. 1.51 (SVN Official Release) Total time: 38.89 hours. Factorization parameters were as follows: # Murphy_E = 8.86e-11, selected by Maksym Voznyy # sieved all c5<828 n: 394305450592398620883597635487470853694810796995540439627664846280986480408527065831036109089781761879719973254515901607912782347 Y0: -18540104321342185119822456 Y1: 2626458130447 c0: -14579011902605777154818035247493355 c1: 45780160884079618362377622646 c2: 12618208813187131832539 c3: -7754092739526700 c4: -1732366158 c5: 180 skew: 3598392.62 type: gnfs # selected mechanically rlim: 9000000 alim: 9000000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 9000000/9000000 Large primes per side: 3 Large prime bits: 28/28 Sieved algebraic special-q in [0, 0) Total raw relations: 17384845 Relations: 2195966 relations Pruned matrix : 1278724 x 1278953 Polynomial selection time: 0.00 hours. Total sieving time: 37.58 hours. Total relation processing time: 0.10 hours. Matrix solve time: 1.04 hours. time per square root: 0.16 hours. Prototype def-par.txt line would be: gnfs,128,5,65,2000,1e-05,0.28,250,20,50000,3600,9000000,9000000,28,28,53,53,2.5,2.5,100000 total time: 38.89 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-7-6.1.7601-SP1 processors: 8, speed: 3.50GHz
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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	December 10, 2014 19:49:31 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 31 秒 (日本時間)
45	11e6	1000 / 4409	Serge Batalov	December 18, 2014 00:18:22 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 22 秒 (日本時間)

172×10²¹³-19

c202

name 名前	yoyo
date 日付	March 1, 2020 12:31:45 UTC 2020 年 3 月 1 日 (日) 21 時 31 分 45 秒 (日本時間)
composite number 合成数	1840579587052121261659042050899561997916022896604962136914633326803710923007423899367894214018922455015908334648860145268218987576615476996443491669185090246676420037502779180137934457396885365161995103<202>
prime factors 素因数	8105178553902946908109721404664782769806411<43> 227086864874286240680733241753548041455304141742118681959924307060616745375629933304835781631225782776158744229758523096687292951349170007738263131649990826173<159>
factorization results 素因数分解の結果	GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM] Input number is 1840579587052121261659042050899561997916022896604962136914633326803710923007423899367894214018922455015908334648860145268218987576615476996443491669185090246676420037502779180137934457396885365161995103 (202 digits) [Sun Mar 01 12:53:25 2020] Using MODMULN [mulredc:0, sqrredc:1] Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=0:15784505934833841869 dF=65536, k=5, d=690690, d2=17, i0=46 Expected number of curves to find a factor of n digits: 35 40 45 50 55 60 65 70 75 80 55 246 1286 7557 49831 361851 2844041 2.4e+07 2.2e+08 2.2e+09 Writing checkpoint to checkpnt at p = 43000000 Step 1 took 155437ms Using 25 small primes for NTT Estimated memory usage: 278.60MB Initializing tables of differences for F took 31ms Computing roots of F took 2625ms Building F from its roots took 2609ms Computing 1/F took 1078ms Initializing table of differences for G took 47ms Computing roots of G took 2094ms Building G from its roots took 2593ms Computing roots of G took 2109ms Building G from its roots took 2688ms Computing G * H took 609ms Reducing G * H mod F took 625ms Computing roots of G took 2078ms Building G from its roots took 2625ms Computing G * H took 593ms Reducing G * H mod F took 625ms Computing roots of G took 2110ms Building G from its roots took 2719ms Computing G * H took 641ms Reducing G * H mod F took 656ms Computing roots of G took 2141ms Building G from its roots took 2562ms Computing G * H took 594ms Reducing G * H mod F took 625ms Computing polyeval(F,G) took 5078ms Computing product of all F(g_i) took 31ms Step 2 took 40516ms ********** Factor found in step 2: 8105178553902946908109721404664782769806411 Found prime factor of 43 digits: 8105178553902946908109721404664782769806411 Prime cofactor 227086864874286240680733241753548041455304141742118681959924307060616745375629933304835781631225782776158744229758523096687292951349170007738263131649990826173 has 159 digits
software ソフトウェア	GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc]

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	December 10, 2014 19:49:31 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 31 秒 (日本時間)
45	11e6	585 / 4409	Cyp	July 28, 2015 02:28:33 UTC 2015 年 7 月 28 日 (火) 11 時 28 分 33 秒 (日本時間)

172×10²¹⁴-19

c180

composite cofactor 合成数の残り	128676110347014073211527440864071934228769420545172138709359304776932218989450357899854194077626835375164244835011618024501645364548489294473573978755700958485439857615411227893199<180>

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280		Cyp	December 6, 2014 21:08:16 UTC 2014 年 12 月 7 日 (日) 6 時 8 分 16 秒 (日本時間)
45	11e6	4591	591	Cyp	July 28, 2015 00:22:45 UTC 2015 年 7 月 28 日 (火) 9 時 22 分 45 秒 (日本時間)
45	11e6	4591	4000	Thomas Kozlowski	January 8, 2025 18:43:15 UTC 2025 年 1 月 9 日 (木) 3 時 43 分 15 秒 (日本時間)

172×10²¹⁵-19

c196

name 名前	Cyp
date 日付	December 8, 2014 05:31:10 UTC 2014 年 12 月 8 日 (月) 14 時 31 分 10 秒 (日本時間)
composite number 合成数	1083585479136359367379364630657505312257156607521388257660257390093807196822200069091248060686860032526682720365437826980118048371508484283935851560246474322564344648811617182490405939456477969387<196>
prime factors 素因数	185302757255720874400108951175636784817<39> 5847648978266380879978930953925085256005289014305298266476545926118318818821466268615241328707131339379359007726484909933469898420000472011459173337492069211<157>
factorization results 素因数分解の結果	Run 150 out of 280: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4109994545 Step 1 took 18940ms Step 2 took 6100ms ********** Factor found in step 2: 185302757255720874400108951175636784817 Found probable prime factor of 39 digits: 185302757255720874400108951175636784817 Probable prime cofactor 5847648978266380879978930953925085256005289014305298266476545926118318818821466268615241328707131339379359007726484909933469898420000472011459173337492069211 has 157 digits
software ソフトウェア	GMP-ECM 6.4.4
execution environment 実行環境	Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

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 / 483	Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	150 / 2318	Cyp	December 8, 2014 05:31:10 UTC 2014 年 12 月 8 日 (月) 14 時 31 分 10 秒 (日本時間)

172×10²¹⁸-19

c180

name 名前	Erik Branger
date 日付	December 8, 2019 08:56:50 UTC 2019 年 12 月 8 日 (日) 17 時 56 分 50 秒 (日本時間)
composite number 合成数	546770733430937734280137702875435321958848756000841162123329618330777516739454281515367861145063776466534369893593299651019611987160594223371735601193094271043309888136272361301241<180>
prime factors 素因数	7327722833483609622013757473048927840663<40> 534414906944748018391555009442608433737677747735696541325422231<63> 139623224173639852824639241087888440996048243012940764527596921842222070817897<78>
factorization results 素因数分解の結果	Number: 19111_218 N = 546770733430937734280137702875435321958848756000841162123329618330777516739454281515367861145063776466534369893593299651019611987160594223371735601193094271043309888136272361301241 (180 digits) SNFS difficulty: 222 digits. Divisors found: r1=7327722833483609622013757473048927840663 (pp40) r2=534414906944748018391555009442608433737677747735696541325422231 (pp63) r3=139623224173639852824639241087888440996048243012940764527596921842222070817897 (pp78) Version: Msieve v. 1.52 (SVN unknown) Total time: 66.61 hours. Factorization parameters were as follows: n: 546770733430937734280137702875435321958848756000841162123329618330777516739454281515367861145063776466534369893593299651019611987160594223371735601193094271043309888136272361301241 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 43 c0: -25 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 44739242 lpbr: 29 lpba: 28 mfbr: 58 mfba: 56 rlambda: 2.8 alambda: 2.8 side: 1 Factor base limits: 536870912/44739242 Large primes per side: 3 Large prime bits: 29/28 Relations: 6792062 relations Pruned matrix : 6164892 x 6165117 Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G relations. Total batch smoothness checking time: 34.10 hours. Total relation processing time: 0.41 hours. Matrix solve time: 31.36 hours. time per square root: 0.74 hours. Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000 total time: 66.61 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-10-10.0.17763-SP0 processors: 8, speed: 3.50GHz
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	118		Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	580	280	Cyp	December 10, 2014 16:52:11 UTC 2014 年 12 月 11 日 (木) 1 時 52 分 11 秒 (日本時間)
40	3e6	580	300	Serge Batalov	December 10, 2014 19:49:32 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 32 秒 (日本時間)
45	11e6	504 / 4347		Cyp	May 24, 2015 12:11:44 UTC 2015 年 5 月 24 日 (日) 21 時 11 分 44 秒 (日本時間)

172×10²¹⁹-19

c197

name 名前	Cyp
date 日付	July 27, 2015 11:51:51 UTC 2015 年 7 月 27 日 (月) 20 時 51 分 51 秒 (日本時間)
composite number 合成数	14851426156755438336134208119657516262922191919184642298412056577285172642725825130197930781469068877476355418318588884491361526476698986108686812532983881225152088001732243477326106404733206915421<197>
prime factors 素因数	41522686275178732988853348271893542869<38> 357670167540033773454752237229354726791308820226145182805881838864184205275347199817618574580945928614102583293876010078412139572867489674037042981989238978409<159>
factorization results 素因数分解の結果	Run 32 out of 591: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1195244871 Step 1 took 69055ms Step 2 took 21185ms ********** Factor found in step 2: 41522686275178732988853348271893542869 Found probable prime factor of 38 digits: 41522686275178732988853348271893542869 Probable prime cofactor 357670167540033773454752237229354726791308820226145182805881838864184205275347199817618574580945928614102583293876010078412139572867489674037042981989238978409 has 159 digits
software ソフトウェア	GMP-ECM 6.4.4
execution environment 実行環境	Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280 / 2208	Cyp	December 7, 2014 06:40:49 UTC 2014 年 12 月 7 日 (日) 15 時 40 分 49 秒 (日本時間)
45	11e6	32 / 4413	Cyp	July 27, 2015 11:51:50 UTC 2015 年 7 月 27 日 (月) 20 時 51 分 50 秒 (日本時間)

172×10²²¹-19

c208

name 名前	Erik Branger
date 日付	January 26, 2020 12:59:25 UTC 2020 年 1 月 26 日 (日) 21 時 59 分 25 秒 (日本時間)
composite number 合成数	2215749302684414449158143888265778344827294134843329378797719168445215652130427609948046158956426193327794131934000315977255135503527533095859571334758240786279783729386186062188334547386216421881567199122057<208>
prime factors 素因数	42974959977458272401875256302694166227704091562964291020920118429<65> 51559077747754625832311738973348606818972413421339554995069757040596574075531296128417992734893327336676041121077513412580039878231304264199133<143>
factorization results 素因数分解の結果	Number: 19111_221 N = 2215749302684414449158143888265778344827294134843329378797719168445215652130427609948046158956426193327794131934000315977255135503527533095859571334758240786279783729386186062188334547386216421881567199122057 (208 digits) SNFS difficulty: 224 digits. Divisors found: r1=42974959977458272401875256302694166227704091562964291020920118429 (pp65) r2=51559077747754625832311738973348606818972413421339554995069757040596574075531296128417992734893327336676041121077513412580039878231304264199133 (pp143) Version: Msieve v. 1.52 (SVN unknown) Total time: 64.39 hours. Factorization parameters were as follows: n: 2215749302684414449158143888265778344827294134843329378797719168445215652130427609948046158956426193327794131934000315977255135503527533095859571334758240786279783729386186062188334547386216421881567199122057 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 1720 c0: -1 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 44739242 lpbr: 29 lpba: 28 mfbr: 58 mfba: 56 rlambda: 2.8 alambda: 2.8 side: 1 Number of cores used: 6 Number of threads per core: 1 Factor base limits: 536870912/44739242 Large primes per side: 3 Large prime bits: 29/28 Total raw relations: 33459081 Relations: 9779606 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 29.57 hours. Total relation processing time: 0.34 hours. Pruned matrix : 8268113 x 8268338 Matrix solve time: 33.34 hours. time per square root: 1.14 hours. Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000 total time: 64.39 hours. Intel64 Family 6 Model 158 Stepping 10, GenuineIntel Windows-10-10.0.18362-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	118		Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280		Cyp	December 8, 2014 08:07:48 UTC 2014 年 12 月 8 日 (月) 17 時 7 分 48 秒 (日本時間)
45	11e6	591 / 4413	335	Cyp	January 1, 2015 15:21:05 UTC 2015 年 1 月 2 日 (金) 0 時 21 分 5 秒 (日本時間)
45	11e6	591 / 4413	256	Cyp	July 27, 2015 12:22:15 UTC 2015 年 7 月 27 日 (月) 21 時 22 分 15 秒 (日本時間)

172×10²²²-19

c220

name 名前	Serge Batalov
date 日付	December 18, 2014 03:47:34 UTC 2014 年 12 月 18 日 (木) 12 時 47 分 34 秒 (日本時間)
composite number 合成数	2123220876692713155328420298979125776148329197990346751595501734375192879803478625831697712599834586280536730486736041674381858805811699934575170660050117888135886136108333641941018899134664049673493068671382192102112111<220>
prime factors 素因数	753558458739342623391514681405854179540672129<45> 2817592785362309228768082710249490254097968129136174770314893794521149462792012674833934969953871001203026786596210238959932907510905902240299093993464198886172300178069848559<175>
factorization results 素因数分解の結果	Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=3251673077 Step 1 took 66395ms Step 2 took 28484ms ********** Factor found in step 2: 753558458739342623391514681405854179540672129 Found probable prime factor of 45 digits: 753558458739342623391514681405854179540672129 Probable prime cofactor

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	2320	Serge Batalov	December 9, 2014 00:57:47 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 47 秒 (日本時間)
45	11e6	1000 / 3962	Serge Batalov	December 18, 2014 00:18:40 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 40 秒 (日本時間)

172×10²²³-19

c208

composite cofactor 合成数の残り

8434345484953423372453464591772649759065206035585630557614306304714389183920357603391172228633562559614723841115793857637783884765269259596410902439175190511305607357364415130278041716324201773506674960617739<208>

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280		Cyp	December 10, 2014 06:36:09 UTC 2014 年 12 月 10 日 (水) 15 時 36 分 9 秒 (日本時間)
45	11e6	4591	591	Cyp	July 6, 2015 06:50:31 UTC 2015 年 7 月 6 日 (月) 15 時 50 分 31 秒 (日本時間)
45	11e6	4591	4000	Thomas Kozlowski	January 8, 2025 20:02:35 UTC 2025 年 1 月 9 日 (木) 5 時 2 分 35 秒 (日本時間)

172×10²²⁴-19

c210

name 名前	Bob Backstrom
date 日付	May 13, 2020 23:20:08 UTC 2020 年 5 月 14 日 (木) 8 時 20 分 8 秒 (日本時間)
composite number 合成数	410196908956137715614342702364218978080789755248160476193247639379277416814574023700021539857744445251416093492070151613702868836338581516629894841443098962533470288404124169560471616743207439446021092504365413<210>
prime factors 素因数	15357998605075429697706342019399208682225763<44> 26709008087849286740330445978368316981272708537086594016257751534293640297075713430545345911244931991616069322461590008994562161000882394324891454000896381690381190551<167>
factorization results 素因数分解の結果	GMP-ECM 6.2.3 [powered by GMP 6.1.2] [ECM] Input number is 410196908956137715614342702364218978080789755248160476193247639379277416814574023700021539857744445251416093492070151613702868836338581516629894841443098962533470288404124169560471616743207439446021092504365413 (210 digits) Using B1=400160000, B2=4767896883766, polynomial Dickson(30), sigma=70628713 Step 1 took 2225061ms Step 2 took 431967ms ********** Factor found in step 2: 15357998605075429697706342019399208682225763 Found probable prime factor of 44 digits: 15357998605075429697706342019399208682225763 Probable prime cofactor 26709008087849286740330445978368316981272708537086594016257751534293640297075713430545345911244931991616069322461590008994562161000882394324891454000896381690381190551 has 167 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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	December 10, 2014 19:49:32 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 32 秒 (日本時間)
45	11e6	585 / 4409	Cyp	July 27, 2015 18:57:18 UTC 2015 年 7 月 28 日 (火) 3 時 57 分 18 秒 (日本時間)

172×10²²⁵-19

c200

composite cofactor 合成数の残り

34407007708327420405332705118127477600798939116820237153904201646908670905165551459253620769327006699707323441466909358480322137775207289083944344704635150437698513677018036456401507059956161574013913<200>

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300		Serge Batalov	December 10, 2014 19:49:32 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 32 秒 (日本時間)
45	11e6	4585	585	Cyp	July 27, 2015 17:33:12 UTC 2015 年 7 月 28 日 (火) 2 時 33 分 12 秒 (日本時間)
45	11e6	4585	4000	Thomas Kozlowski	January 8, 2025 21:21:28 UTC 2025 年 1 月 9 日 (木) 6 時 21 分 28 秒 (日本時間)

172×10²²⁶-19

c173

name 名前	Serge Batalov
date 日付	December 11, 2014 01:36:19 UTC 2014 年 12 月 11 日 (木) 10 時 36 分 19 秒 (日本時間)
composite number 合成数	69033881463338516848761851382491813153414748491422253561659147577208031983399384224327678711244303769103510189317787887628402448025770607869168499348933140808370318103006451<173>
prime factors 素因数	156471699597923485935350862540349<33>
composite cofactor 合成数の残り	441190845633625723363169257050260197869164961245010624030403089160564255955151291603158873444399578405652136945455993460727490201664788073199<141>
factorization results 素因数分解の結果	Input number is 69033881463338516848761851382491813153414748491422253561659147577208031983399384224327678711244303769103510189317787887628402448025770607869168499348933140808370318103006451 (173 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3796043014 Step 1 took 11026ms Step 2 took 8148ms ********** Factor found in step 2: 156471699597923485935350862540349 Found probable prime factor of 33 digits: 156471699597923485935350862540349 Composite cofactor 441190845633625723363169257050260197869164961245010624030403089160564255955151291603158873444399578405652136945455993460727490201664788073199 has 141 digits

c141

name 名前	Erik Branger
date 日付	October 27, 2016 19:54:25 UTC 2016 年 10 月 28 日 (金) 4 時 54 分 25 秒 (日本時間)
composite number 合成数	441190845633625723363169257050260197869164961245010624030403089160564255955151291603158873444399578405652136945455993460727490201664788073199<141>
prime factors 素因数	34765054783974164160425060947771858826297254516071343<53> 12690641460947844101060438464447460524774149010137720755691052259182084376165718860928193<89>
factorization results 素因数分解の結果	Number: 19111_226 N = 441190845633625723363169257050260197869164961245010624030403089160564255955151291603158873444399578405652136945455993460727490201664788073199 (141 digits) Divisors found: r1=34765054783974164160425060947771858826297254516071343 (pp53) r2=12690641460947844101060438464447460524774149010137720755691052259182084376165718860928193 (pp89) Version: Msieve v. 1.51 (SVN 845) Total time: 375.99 hours. Factorization parameters were as follows: # Murphy_E = 1.932e-11, selected by Erik Branger # expecting poly E from 1.88e-011 to > 2.16e-011 n: 441190845633625723363169257050260197869164961245010624030403089160564255955151291603158873444399578405652136945455993460727490201664788073199 Y0: -2341827543243227527210709919 Y1: 618216652668109 c0: 3259790994263372847003472322471200 c1: -7754072877873315018156362590 c2: -75212100903945571363045 c3: -7526532573737924 c4: 10678232166 c5: 6264 skew: 1302200.3 type: gnfs # selected mechanically rlim: 19000000 alim: 19000000 lpbr: 28 lpba: 28 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 19000000/19000000 Large primes per side: 3 Large prime bits: 28/28 Sieved algebraic special-q in [0, 0) Total raw relations: 23306447 Relations: 3666320 relations Pruned matrix : 2292722 x 2292950 Polynomial selection time: 0.00 hours. Total sieving time: 369.45 hours. Total relation processing time: 0.22 hours. Matrix solve time: 5.09 hours. time per square root: 1.24 hours. Prototype def-par.txt line would be: gnfs,140,5,65,2000,1e-05,0.28,250,20,50000,3600,19000000,19000000,28,28,56,56,2.6,2.6,100000 total time: 375.99 hours. Intel64 Family 6 Model 58 Stepping 9, GenuineIntel Windows-post2008Server-6.2.9200 processors: 8, speed: 2.29GHz
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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300		Serge Batalov	December 10, 2014 19:49:33 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 33 秒 (日本時間)
45	11e6	1400 / 3356	1000	Serge Batalov	December 18, 2014 00:18:27 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 27 秒 (日本時間)
45	11e6	1400 / 3356	400	Dmitry Domanov	February 29, 2016 06:34:48 UTC 2016 年 2 月 29 日 (月) 15 時 34 分 48 秒 (日本時間)
50	43e6	300 / 7227		Rich Dickerson	June 7, 2016 23:23:54 UTC 2016 年 6 月 8 日 (水) 8 時 23 分 54 秒 (日本時間)

172×10²²⁷-19

c210

composite cofactor 合成数の残り

913817462230769937944920806236890203754439507298948207894887755077924456345614804956362674231233970188554778497067883355807392068958658792886388103208448399201622070757217840963427952731184856742405599685338059<210>

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300		Serge Batalov	December 10, 2014 19:49:33 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 33 秒 (日本時間)
45	11e6	4586	585	Cyp	January 31, 2015 01:04:59 UTC 2015 年 1 月 31 日 (土) 10 時 4 分 59 秒 (日本時間)
45	11e6	4586	4001	Thomas Kozlowski	January 8, 2025 22:41:05 UTC 2025 年 1 月 9 日 (木) 7 時 41 分 5 秒 (日本時間)

172×10²²⁸-19

c187

composite cofactor 合成数の残り	2579560675307103126302671020246311077117830221725276880578479174339451021243185093720348502016196711877910247347515285039821106834485561334822167116665571586742244847720486611328384617231<187>

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280		Cyp	December 6, 2014 17:40:11 UTC 2014 年 12 月 7 日 (日) 2 時 40 分 11 秒 (日本時間)
45	11e6	4593	335	Cyp	January 7, 2015 06:12:43 UTC 2015 年 1 月 7 日 (水) 15 時 12 分 43 秒 (日本時間)
			256	Cyp	May 19, 2015 12:56:26 UTC 2015 年 5 月 19 日 (火) 21 時 56 分 26 秒 (日本時間)
			4002	Thomas Kozlowski	January 8, 2025 23:50:21 UTC 2025 年 1 月 9 日 (木) 8 時 50 分 21 秒 (日本時間)

172×10²²⁹-19

c203

composite cofactor 合成数の残り

66008770112991923761608656214422269799292098607861037645008643924958402999761985251537085019133435038316617078790227108117995853693433532926918489863939619788338472280588058581252650967989806247709394803<203>

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300		Serge Batalov	December 10, 2014 19:49:34 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 34 秒 (日本時間)
45	11e6	4588	329	Cyp	January 6, 2015 22:48:46 UTC 2015 年 1 月 7 日 (水) 7 時 48 分 46 秒 (日本時間)
			256	Cyp	June 23, 2015 12:45:19 UTC 2015 年 6 月 23 日 (火) 21 時 45 分 19 秒 (日本時間)
			4003	Thomas Kozlowski	January 9, 2025 01:09:37 UTC 2025 年 1 月 9 日 (木) 10 時 9 分 37 秒 (日本時間)

172×10²³²-19

c230

name 名前	Serge Batalov
date 日付	December 18, 2014 01:52:24 UTC 2014 年 12 月 18 日 (木) 10 時 52 分 24 秒 (日本時間)
composite number 合成数	29912523260465035390688857585085476774316968400549555659901566929270795290516686666318846628754282534216796229630789029756004243404462531086415888419331837707170310081563798890454079059494617484913305855550338254986869793568807499<230>
prime factors 素因数	17758611075732632908965554214494326583<38>
composite cofactor 合成数の残り	1684395425571365629460086327185218024270332738988837198596236911369165857869964203858383518061180783309351376294127929811705033149188620109327888303744211803779940478203298822388185031168954253<193>
factorization results 素因数分解の結果	Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1355836534 Step 1 took 66986ms Step 2 took 31555ms ********** Factor found in step 2: 17758611075732632908965554214494326583 Found probable prime factor of 38 digits: 17758611075732632908965554214494326583 Composite cofactor

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	2320		Serge Batalov	December 9, 2014 00:57:53 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 53 秒 (日本時間)
45	11e6	4000	1000	Serge Batalov	December 18, 2014 00:18:53 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 53 秒 (日本時間)
45	11e6	4000	3000	Thomas Kozlowski	January 9, 2025 02:02:31 UTC 2025 年 1 月 9 日 (木) 11 時 2 分 31 秒 (日本時間)

172×10²³³-19

c170

composite cofactor 合成数の残り	35800930662286641830239103542002753970197507205059292468664412719809239115789457456983179342727083682264122543437501038320767022535737706240785274095820821060782783273921<170>

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280		Cyp	December 9, 2014 22:09:12 UTC 2014 年 12 月 10 日 (水) 7 時 9 分 12 秒 (日本時間)
45	11e6	4591	591	Cyp	July 27, 2015 11:27:20 UTC 2015 年 7 月 27 日 (月) 20 時 27 分 20 秒 (日本時間)
45	11e6	4591	4000	Thomas Kozlowski	January 9, 2025 03:02:56 UTC 2025 年 1 月 9 日 (木) 12 時 2 分 56 秒 (日本時間)

172×10²³⁶-19

c192

name 名前	Serge Batalov
date 日付	December 11, 2014 01:36:23 UTC 2014 年 12 月 11 日 (木) 10 時 36 分 23 秒 (日本時間)
composite number 合成数	736496779242506866023121533671487582388913602230961634978321005858393171203065759525952770443173381582125666637584567844386466535197518857616401050924779684103372587912176492137328329659994377<192>
prime factors 素因数	145324045456212658931260915587643<33>
composite cofactor 合成数の残り	5067962269632931863619498207985811369595552331883375061362659757508720386792585699723212479492588468879543307618250024048513669592542106095153397606278369184139<160>
factorization results 素因数分解の結果	Input number is 736496779242506866023121533671487582388913602230961634978321005858393171203065759525952770443173381582125666637584567844386466535197518857616401050924779684103372587912176492137328329659994377 (192 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1252411571 Step 1 took 17153ms Step 2 took 13318ms ********** Factor found in step 2: 145324045456212658931260915587643 Found probable prime factor of 33 digits: 145324045456212658931260915587643 Composite cofactor 5067962269632931863619498207985811369595552331883375061362659757508720386792585699723212479492588468879543307618250024048513669592542106095153397606278369184139 has 160 digits

c160

name 名前	Serge Batalov
date 日付	December 18, 2014 04:26:42 UTC 2014 年 12 月 18 日 (木) 13 時 26 分 42 秒 (日本時間)
composite number 合成数	5067962269632931863619498207985811369595552331883375061362659757508720386792585699723212479492588468879543307618250024048513669592542106095153397606278369184139<160>
prime factors 素因数	80043927230581125622057331219586081064643685601<47> 63314762843079182993716554264596879600375819347111894177684213175469619575757102816477037153463113061399745525739<113>
factorization results 素因数分解の結果	Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=252277994 Step 1 took 40927ms Step 2 took 20310ms ********** Factor found in step 2: 80043927230581125622057331219586081064643685601 Found probable prime factor of 47 digits: 80043927230581125622057331219586081064643685601 Probable prime cofactor

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	December 10, 2014 19:49:34 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 34 秒 (日本時間)
45	11e6	1000 / 4409	Serge Batalov	December 18, 2014 00:18:29 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 29 秒 (日本時間)

172×10²³⁸-19

c240

name 名前	Bob Backstrom
date 日付	February 6, 2019 22:47:09 UTC 2019 年 2 月 7 日 (木) 7 時 47 分 9 秒 (日本時間)
composite number 合成数	191111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<240>
prime factors 素因数	15305130393210328800654406432323449696761645330114254713979680380319849<71> 12486735245058215105330720780536051464287638501141445562542185953545135242499933420833235079126593817749615240903197096316533451420426003445134716731053055775255469413039<170>
factorization results 素因数分解の結果	Number: n N=19111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 1111111111111111111111111111111111 ( 240 digits) SNFS difficulty: 241 digits. Divisors found: Thu Feb 7 09:41:57 2019 p71 factor: 15305130393210328800654406432323449696761645330114254713979680380319849 Thu Feb 7 09:41:57 2019 p170 factor: 1248673524505821510533072078053605146428763850114144556254218595354513524249993342083323507912659381774961524090319709631653345142042600344513471673105305577525546941303 9 Thu Feb 7 09:41:57 2019 elapsed time 80:27:00 (Msieve 1.54 - dependency 6) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.118). Factorization parameters were as follows: # # N = 172x10^238-1 = 191(238) # n: 1911111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 11111111111111111111111111111111111 m: 10000000000000000000000000000000000000000 deg: 6 c6: 43 c0: -25 skew: 0.91 # Murphy_E = 3.44e-13 type: snfs lss: 1 rlim: 75000000 alim: 75000000 lpbr: 30 lpba: 30 mfbr: 61 mfba: 61 rlambda: 2.7 alambda: 2.7 Factor base limits: 75000000/75000000 Large primes per side: 3 Large prime bits: 30/30 Max factor residue bits: 61/61 Sieved special-q in [100000, 207100000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 26244376 hash collisions in 122137892 relations (96446497 unique) Msieve: matrix is 11486564 x 11486789 (4018.4 MB) Sieving start time: 2019/01/28 23:59:40 Sieving end time : 2019/02/04 01:05:38 Total sieving time: 145hrs 5min 58secs. Total relation processing time: 77hrs 6min 16sec. Matrix solve time: 0.00 hours. Total square root time: 2hrs 31min 8sec. Prototype def-par.txt line would be: snfs,241,6,0,0,0,0,0,0,0,0,75000000,75000000,30,30,61,61,2.7,2.7,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.048000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1) [ 0.000000] Memory: 16285120K/16703460K available (12300K kernel code, 2472K rwdata, 4252K rodata, 2408K init, 2416K bss, 418340K reserved, 0K cma-reserved) [ 0.080563] x86/mm: Memory block size: 128MB [ 0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.70 BogoMIPS (lpj=11977408) [ 0.078214] smpboot: Total of 16 processors activated (95819.26 BogoMIPS)

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	2320		Serge Batalov	December 9, 2014 00:57:56 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 56 秒 (日本時間)
45	11e6	4000	1000	Serge Batalov	December 18, 2014 00:19:00 UTC 2014 年 12 月 18 日 (木) 9 時 19 分 0 秒 (日本時間)
			1000	Serge Batalov	December 18, 2014 01:48:49 UTC 2014 年 12 月 18 日 (木) 10 時 48 分 49 秒 (日本時間)
			2000	Serge Batalov	December 20, 2014 04:02:06 UTC 2014 年 12 月 20 日 (土) 13 時 2 分 6 秒 (日本時間)
50	43e6	500 / 6567		Serge Batalov	January 11, 2015 01:24:49 UTC 2015 年 1 月 11 日 (日) 10 時 24 分 49 秒 (日本時間)

172×10²³⁹-19

c211

composite cofactor 合成数の残り

5563153805442995718640107383211449547039839862037732263414960682967714710569675340819580733422047041771744692677337726646127956048080589848565207280495878198661876988348540854133231171896328520804173378402221069<211>

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300		Serge Batalov	December 10, 2014 19:49:34 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 34 秒 (日本時間)
45	11e6	4586	51	Cyp	January 8, 2015 17:40:08 UTC 2015 年 1 月 9 日 (金) 2 時 40 分 8 秒 (日本時間)
			534	Cyp	July 27, 2015 13:50:24 UTC 2015 年 7 月 27 日 (月) 22 時 50 分 24 秒 (日本時間)
			4001	Thomas Kozlowski	January 9, 2025 04:23:26 UTC 2025 年 1 月 9 日 (木) 13 時 23 分 26 秒 (日本時間)

172×10²⁴⁰-19

c210

composite cofactor 合成数の残り

213192444307131683123259450045752367326885392393364337605696797089428651809900096650094481578717159763970241135102833803796278982040724629307715808921405456154967903725769769686459909759191511302731884664401581<210>

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280		Cyp	December 8, 2014 14:56:43 UTC 2014 年 12 月 8 日 (月) 23 時 56 分 43 秒 (日本時間)
45	11e6	4592	335	Cyp	January 7, 2015 05:08:53 UTC 2015 年 1 月 7 日 (水) 14 時 8 分 53 秒 (日本時間)
			256	Cyp	July 27, 2015 05:45:00 UTC 2015 年 7 月 27 日 (月) 14 時 45 分 0 秒 (日本時間)
			4001	Thomas Kozlowski	January 9, 2025 05:42:39 UTC 2025 年 1 月 9 日 (木) 14 時 42 分 39 秒 (日本時間)

172×10²⁴¹-19

c224

name 名前	Cyp
date 日付	July 27, 2015 02:34:32 UTC 2015 年 7 月 27 日 (月) 11 時 34 分 32 秒 (日本時間)
composite number 合成数	11386083852049097190759794218223099591160118805659633728891562515407375461410656342696281808461354664152868277866206875314799431246594639679657989896419176498723961707408406300825365025851517920321229461104796518313809903513<224>
prime factors 素因数	6188748825826767407129079073136011417<37> 1839803839595640293362719012919029689534265686088456072645768486937745024425857025628313762467860452442808738849506174432716550515098180561537026840970543030100262983435167299870696812289<187>
factorization results 素因数分解の結果	Run 209 out of 591: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2072517412 Step 1 took 80091ms ********** Factor found in step 1: 6188748825826767407129079073136011417 Found probable prime factor of 37 digits: 6188748825826767407129079073136011417 Probable prime cofactor 1839803839595640293362719012919029689534265686088456072645768486937745024425857025628313762467860452442808738849506174432716550515098180561537026840970543030100262983435167299870696812289 has 187 digits
software ソフトウェア	GMP-ECM 6.4.4
execution environment 実行環境	Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280 / 1597	Cyp	December 8, 2014 21:05:56 UTC 2014 年 12 月 9 日 (火) 6 時 5 分 56 秒 (日本時間)
45	11e6	209 / 4413	Cyp	July 27, 2015 02:34:32 UTC 2015 年 7 月 27 日 (月) 11 時 34 分 32 秒 (日本時間)

172×10²⁴³-19

c207

name 名前	Serge Batalov
date 日付	December 11, 2014 01:36:26 UTC 2014 年 12 月 11 日 (木) 10 時 36 分 26 秒 (日本時間)
composite number 合成数	362600807142234921355014320060997307539934458431626610112014769734687736812781250709038184043669429978403476335240582326300756703707334612544911163221097996433518480816655896686100334065689822099663593736243<207>
prime factors 素因数	4965696085447310586380640799637<31>
composite cofactor 合成数の残り	73021143642859849078730254138598275759443726967261623152050167520493965977583986511168131502393722609104342813645703219399776330713573894674421363130647526770996412605654979239<176>
factorization results 素因数分解の結果	Input number is 362600807142234921355014320060997307539934458431626610112014769734687736812781250709038184043669429978403476335240582326300756703707334612544911163221097996433518480816655896686100334065689822099663593736243 (207 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3616241316 Step 1 took 15979ms Step 2 took 10507ms ********** Factor found in step 2: 4965696085447310586380640799637 Found probable prime factor of 31 digits: 4965696085447310586380640799637 Composite cofactor 73021143642859849078730254138598275759443726967261623152050167520493965977583986511168131502393722609104342813645703219399776330713573894674421363130647526770996412605654979239 has 176 digits

c176

name 名前	Thomas Kozlowski
date 日付	January 9, 2025 14:13:52 UTC 2025 年 1 月 9 日 (木) 23 時 13 分 52 秒 (日本時間)
composite number 合成数	73021143642859849078730254138598275759443726967261623152050167520493965977583986511168131502393722609104342813645703219399776330713573894674421363130647526770996412605654979239<176>
prime factors 素因数	17488090682381718312402136067975191721857<41> 4175478328027232981035156667899208032214277856358794083402733111374364083220211418629897390983689047607180764892101803172588973494476327<136>
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 73021143642859849078730254138598275759443726967261623152050167520493965977583986511168131502393722609104342813645703219399776330713573894674421363130647526770996412605654979239 (176 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2876333053 Step 1 took 33302ms Step 2 took 12341ms Run 2 out of 0: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2577898691 Step 1 took 27663ms Step 2 took 11991ms Run 3 out of 0: ... Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3851502848 Step 1 took 27620ms Step 2 took 11915ms Run 24 out of 0: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2394130412 Step 1 took 28027ms Step 2 took 12216ms ** Factor found in step 2: 17488090682381718312402136067975191721857 Found prime factor of 41 digits: 17488090682381718312402136067975191721857 Prime cofactor 4175478328027232981035156667899208032214277856358794083402733111374364083220211418629897390983689047607180764892101803172588973494476327 has 136 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	118	Makoto Kamada	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300	Serge Batalov	December 10, 2014 19:49:35 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 35 秒 (日本時間)
45	11e6	585 / 4409	Cyp	June 6, 2015 07:01:19 UTC 2015 年 6 月 6 日 (土) 16 時 1 分 19 秒 (日本時間)

172×10²⁴⁴-19

c200

composite cofactor 合成数の残り

28606524185227263328782511854287224957720490100752659461111117419940240869937722951655030964161550097591321690633848127495015365300319358229244265507833266575839535730615649875015081093221919707055561<200>

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300		Serge Batalov	December 10, 2014 19:49:35 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 35 秒 (日本時間)
45	11e6	4585	329	Cyp	January 1, 2015 06:37:22 UTC 2015 年 1 月 1 日 (木) 15 時 37 分 22 秒 (日本時間)
			256	Cyp	June 21, 2015 16:15:25 UTC 2015 年 6 月 22 日 (月) 1 時 15 分 25 秒 (日本時間)
			4000	Thomas Kozlowski	January 9, 2025 07:17:38 UTC 2025 年 1 月 9 日 (木) 16 時 17 分 38 秒 (日本時間)

172×10²⁴⁵-19

c157

name 名前	Lionel Debroux
date 日付	December 20, 2017 16:54:02 UTC 2017 年 12 月 21 日 (木) 1 時 54 分 2 秒 (日本時間)
composite number 合成数	1505360188368625102466621201252969071867509240204909007068994858417463452965420939933690521622265624867140926479552369325566995111797319567842586576509638301<157>
prime factors 素因数	469699484469188369092523470698156209183432841691<48> 2056409299430626119339787248064988046539477171837<49> 1558514271728019205631138520328600109361976037252617197847603<61>
factorization results 素因数分解の結果	GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM] Input number is 1505360188368625102466621201252969071867509240204909007068994858417463452965420939933690521622265624867140926479552369325566995111797319567842586576509638301 (157 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:196784988 Step 1 took 18340ms Step 2 took 8424ms ********** Factor found in step 2: 2056409299430626119339787248064988046539477171837 Found prime factor of 49 digits: 2056409299430626119339787248064988046539477171837 Composite cofactor 732033349968523178586526949574502128815261888595830891036762347368451259933414396376190319245230387042816673 has 108 digits p48 factor: 469699484469188369092523470698156209183432841691 p61 factor: 1558514271728019205631138520328600109361976037252617197847603
software ソフトウェア	GMP-ECM, ggnfs-lasieve4I12e, msieve
execution environment 実行環境	Core i7-6700HQ @ 2.6 GHz (+ turbo), Debian sid amd64

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	2320		Serge Batalov	December 9, 2014 00:57:30 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 30 秒 (日本時間)
45	11e6	4000	800	Dmitry Domanov	March 1, 2016 13:09:38 UTC 2016 年 3 月 1 日 (火) 22 時 9 分 38 秒 (日本時間)
45	11e6	4000	3200	Lionel Debroux	December 19, 2017 12:33:30 UTC 2017 年 12 月 19 日 (火) 21 時 33 分 30 秒 (日本時間)

172×10²⁴⁶-19

c204

composite cofactor 合成数の残り

358572249591175806478331155805162561802814628436112507145672434587489940793147393621802816197049710491372565233312747621081355412289441593014207247662950069759157077186011192594916963211326691155261760639<204>

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300		Serge Batalov	December 10, 2014 19:49:36 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 36 秒 (日本時間)
45	11e6	4586	585	Cyp	July 27, 2015 11:18:04 UTC 2015 年 7 月 27 日 (月) 20 時 18 分 4 秒 (日本時間)
45	11e6	4586	4001	Thomas Kozlowski	January 9, 2025 08:36:55 UTC 2025 年 1 月 9 日 (木) 17 時 36 分 55 秒 (日本時間)

172×10²⁴⁷-19

c196

composite cofactor 合成数の残り

2526678871095262746573133691886714372364844922580627923361493766098615050784116069577033477759078845141548961042594010505728278318821813357999609575422045525786409347236704294100651147025619871779<196>

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	300		Serge Batalov	December 10, 2014 19:49:36 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 36 秒 (日本時間)
45	11e6	4586	585	Cyp	July 27, 2015 11:02:43 UTC 2015 年 7 月 27 日 (月) 20 時 2 分 43 秒 (日本時間)
45	11e6	4586	4001	Thomas Kozlowski	January 9, 2025 09:55:58 UTC 2025 年 1 月 9 日 (木) 18 時 55 分 58 秒 (日本時間)

172×10²⁴⁸-19

c218

composite cofactor 合成数の残り

16233177262589160990150082136927857034008496577704741725873519994601924478107105827171878335145685524532237625963243078872800042924758529582761172650578496348892716136352925979712282130949574695182080802116759105106749<218>

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280		Cyp	December 9, 2014 00:37:11 UTC 2014 年 12 月 9 日 (火) 9 時 37 分 11 秒 (日本時間)
45	11e6	4593	335	Cyp	January 8, 2015 10:10:10 UTC 2015 年 1 月 8 日 (木) 19 時 10 分 10 秒 (日本時間)
			256	Cyp	February 10, 2015 00:21:25 UTC 2015 年 2 月 10 日 (火) 9 時 21 分 25 秒 (日本時間)
			4002	Thomas Kozlowski	January 9, 2025 11:26:01 UTC 2025 年 1 月 9 日 (木) 20 時 26 分 1 秒 (日本時間)

172×10²⁴⁹-19

c235

name 名前	Cyp
date 日付	July 27, 2015 12:05:01 UTC 2015 年 7 月 27 日 (月) 21 時 5 分 1 秒 (日本時間)
composite number 合成数	1358223793254722303600650603323535057663318743471629471867218371792394163953882912030822851830574343715839263886170417709281804255345776773043805995365752186799194305320310828044393086111286079288419518003559701231798949326465171248551<235>
prime factors 素因数	1501478512266925482134448499688649859<37>
composite cofactor 合成数の残り	904590896345284455498922666411587714057112179505713815094891842104102571755960753762510395526435429834760740416868293478325159665446762951045956609030824153308439881951282659722847272859795965982989<198>
factorization results 素因数分解の結果	Run 118 out of 591: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3233469766 Step 1 took 91780ms Step 2 took 25592ms ********** Factor found in step 2: 1501478512266925482134448499688649859 Found probable prime factor of 37 digits: 1501478512266925482134448499688649859 Composite cofactor 904590896345284455498922666411587714057112179505713815094891842104102571755960753762510395526435429834760740416868293478325159665446762951045956609030824153308439881951282659722847272859795965982989 has 198 digits
software ソフトウェア	GMP-ECM 6.4.4
execution environment 実行環境	Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

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	December 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
40	3e6	280		Cyp	December 7, 2014 14:10:57 UTC 2014 年 12 月 7 日 (日) 23 時 10 分 57 秒 (日本時間)
45	11e6	4592	591	Cyp	July 27, 2015 12:05:01 UTC 2015 年 7 月 27 日 (月) 21 時 5 分 1 秒 (日本時間)
45	11e6	4592	4001	Thomas Kozlowski	January 9, 2025 12:44:58 UTC 2025 年 1 月 9 日 (木) 21 時 44 分 58 秒 (日本時間)

172×10²⁵³-19

c224

composite cofactor 合成数の残り

14199919804096533219992555303308880189366868937955605756525098444892949046016260432425177052443276686830607127913792977189285437990643236528670354307658067740649516796172198824561995131511541079091046770960464639153922706553<224>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	January 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
40	3e6	2950	600	Dmitry Domanov	January 19, 2016 07:25:55 UTC 2016 年 1 月 19 日 (火) 16 時 25 分 55 秒 (日本時間)
40	3e6	2950	2350	Ignacio Santos	January 15, 2022 16:46:23 UTC 2022 年 1 月 16 日 (日) 1 時 46 分 23 秒 (日本時間)
45	11e6	3801		Thomas Kozlowski	January 9, 2025 14:10:43 UTC 2025 年 1 月 9 日 (木) 23 時 10 分 43 秒 (日本時間)

172×10²⁵⁴-19

c229

name 名前	Thomas Kozlowski
date 日付	January 9, 2025 15:23:06 UTC 2025 年 1 月 10 日 (金) 0 時 23 分 6 秒 (日本時間)
composite number 合成数	1298601488114298174435774680156926241456638541847894976067077787060772658423262660841318181525533007100285864595369931871416238779632697831536932226982411697079445730569239933195165985897719224059008429223776286822244632726750499<229>
prime factors 素因数	994262594637168476352310273869381621252400559<45> 1306095085059687520656190447477873294924887043543767219883742460229112602267630673758960561537515787807365768959536931365048292438301589325969707312846127643463824704494889255623059661<184>
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 1298601488114298174435774680156926241456638541847894976067077787060772658423262660841318181525533007100285864595369931871416238779632697831536932226982411697079445730569239933195165985897719224059008429223776286822244632726750499 (229 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2364352549 Step 1 took 41405ms Step 2 took 14665ms Run 2 out of 0: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4026041422 Step 1 took 37313ms Step 2 took 14617ms Run 3 out of 0: ... Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:886088293 Step 1 took 37443ms Step 2 took 14519ms Run 79 out of 0: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3092535311 Step 1 took 40291ms Step 2 took 14844ms ** Factor found in step 2: 994262594637168476352310273869381621252400559 Found prime factor of 45 digits: 994262594637168476352310273869381621252400559 Prime cofactor 1306095085059687520656190447477873294924887043543767219883742460229112602267630673758960561537515787807365768959536931365048292438301589325969707312846127643463824704494889255623059661 has 184 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	904		Makoto Kamada	January 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
40	3e6	2950	600	Dmitry Domanov	January 19, 2016 07:25:41 UTC 2016 年 1 月 19 日 (火) 16 時 25 分 41 秒 (日本時間)
40	3e6	2950	2350	Ignacio Santos	January 15, 2022 16:46:48 UTC 2022 年 1 月 16 日 (日) 1 時 46 分 48 秒 (日本時間)

172×10²⁵⁵-19

c242

composite cofactor 合成数の残り

96951322359579870726682953674480184637237361241432985099129584584711795793385502450382454856928407086478285893309577952419399073338311826469856123632511771876423092669786370903426307199201614858604168128699100240935740994957072349212195574239<242>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	904	Makoto Kamada	January 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
40	3e6	2350	Ignacio Santos	January 15, 2022 16:47:22 UTC 2022 年 1 月 16 日 (日) 1 時 47 分 22 秒 (日本時間)
45	11e6	4000	Thomas Kozlowski	January 9, 2025 17:02:00 UTC 2025 年 1 月 10 日 (金) 2 時 2 分 0 秒 (日本時間)

172×10²⁵⁶-19

c258

name 名前	NFS@home + Dmitry Domanov
date 日付	December 1, 2023 05:36:45 UTC 2023 年 12 月 1 日 (金) 14 時 36 分 45 秒 (日本時間)
composite number 合成数	191111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<258>
prime factors 素因数	40664706344627100513637040612629207671807488797181489018059139562373921<71> 4699680098301312826210644879709100417077879020927400471590399874492471880589898773633153022580140625631415777862636841231163597248391168636436447752908417928869590865530127374340930748391<187>
factorization results 素因数分解の結果	Sieving by NFS@home, filtering, linear algebra and square root by Dmitry Domanov Mon Nov 27 01:10:30 2023 Mon Nov 27 01:10:30 2023 Mon Nov 27 01:10:30 2023 Msieve v. 1.54 (SVN Unversioned directory) Mon Nov 27 01:10:30 2023 random seeds: ff5ea826 d047eca1 Mon Nov 27 01:10:30 2023 Using 4 OpenMP threads Mon Nov 27 01:10:30 2023 factoring 191111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (258 digits) Mon Nov 27 01:10:31 2023 searching for 15-digit factors Mon Nov 27 01:10:31 2023 commencing number field sieve (258-digit input) Mon Nov 27 01:10:31 2023 R0: -10000000000000000000000000000000000000000000 Mon Nov 27 01:10:31 2023 R1: 1 Mon Nov 27 01:10:31 2023 A0: -25 Mon Nov 27 01:10:31 2023 A1: 0 Mon Nov 27 01:10:31 2023 A2: 0 Mon Nov 27 01:10:31 2023 A3: 0 Mon Nov 27 01:10:31 2023 A4: 0 Mon Nov 27 01:10:31 2023 A5: 0 Mon Nov 27 01:10:31 2023 A6: 43 Mon Nov 27 01:10:31 2023 skew 1.00, size 5.872e-13, alpha 1.206, combined = 7.948e-14 rroots = 2 Mon Nov 27 01:10:31 2023 Mon Nov 27 01:10:31 2023 commencing relation filtering Mon Nov 27 01:10:31 2023 setting target matrix density to 110.0 Mon Nov 27 01:10:31 2023 estimated available RAM is 15729.3 MB Mon Nov 27 01:10:31 2023 commencing duplicate removal, pass 1 Mon Nov 27 01:10:35 2023 error -1 reading relation 1562121 Mon Nov 27 01:11:00 2023 error -1 reading relation 12271283 Mon Nov 27 01:11:30 2023 error -1 reading relation 22991518 Mon Nov 27 01:11:54 2023 error -1 reading relation 31746204 Mon Nov 27 01:12:06 2023 error -1 reading relation 36354313 Mon Nov 27 01:12:16 2023 error -1 reading relation 40016004 Mon Nov 27 01:12:20 2023 error -1 reading relation 41567847 Mon Nov 27 01:13:02 2023 error -1 reading relation 56949876 Mon Nov 27 01:13:09 2023 error -1 reading relation 59477816 Mon Nov 27 01:13:50 2023 error -1 reading relation 74512961 Mon Nov 27 01:14:02 2023 error -1 reading relation 78890063 Mon Nov 27 01:14:40 2023 error -1 reading relation 92880084 Mon Nov 27 01:15:17 2023 error -1 reading relation 106243155 Mon Nov 27 01:15:20 2023 error -15 reading relation 107277698 Mon Nov 27 01:15:23 2023 error -1 reading relation 108404803 Mon Nov 27 01:15:29 2023 error -1 reading relation 110757370 Mon Nov 27 01:16:50 2023 error -1 reading relation 140203393 Mon Nov 27 01:17:04 2023 error -1 reading relation 145026039 Mon Nov 27 01:17:51 2023 error -1 reading relation 161916140 Mon Nov 27 01:18:02 2023 error -1 reading relation 166080296 Mon Nov 27 01:18:04 2023 error -1 reading relation 166635767 Mon Nov 27 01:18:22 2023 error -1 reading relation 173259554 Mon Nov 27 01:18:54 2023 error -1 reading relation 184762613 Mon Nov 27 01:18:56 2023 error -1 reading relation 185338425 Mon Nov 27 01:19:04 2023 error -1 reading relation 188312813 Mon Nov 27 01:19:04 2023 error -1 reading relation 188322405 Mon Nov 27 01:19:04 2023 error -1 reading relation 188383952 Mon Nov 27 01:19:04 2023 error -1 reading relation 188438843 Mon Nov 27 01:19:21 2023 error -1 reading relation 194666336 Mon Nov 27 01:19:27 2023 error -1 reading relation 196795371 Mon Nov 27 01:19:28 2023 error -1 reading relation 197085624 Mon Nov 27 01:19:30 2023 error -15 reading relation 197824064 Mon Nov 27 01:19:30 2023 error -1 reading relation 197915758 Mon Nov 27 01:19:44 2023 error -1 reading relation 202781961 Mon Nov 27 01:19:51 2023 error -1 reading relation 205303230 Mon Nov 27 01:19:58 2023 error -1 reading relation 207724343 Mon Nov 27 01:20:01 2023 error -1 reading relation 208854388 Mon Nov 27 01:20:23 2023 error -1 reading relation 216975892 Mon Nov 27 01:20:49 2023 error -1 reading relation 226168258 Mon Nov 27 01:20:50 2023 error -1 reading relation 226410196 Mon Nov 27 01:20:56 2023 error -1 reading relation 228609371 Mon Nov 27 01:21:05 2023 error -1 reading relation 231933249 Mon Nov 27 01:21:06 2023 error -1 reading relation 232144385 Mon Nov 27 01:21:06 2023 error -1 reading relation 232148943 Mon Nov 27 01:21:06 2023 error -1 reading relation 232171074 Mon Nov 27 01:21:11 2023 skipped 793 relations with b > 2^32 Mon Nov 27 01:21:11 2023 skipped 5 relations with composite factors Mon Nov 27 01:21:11 2023 skipped 377 malformed relations Mon Nov 27 01:21:11 2023 found 49839951 hash collisions in 234078995 relations Mon Nov 27 01:21:18 2023 commencing duplicate removal, pass 2 Mon Nov 27 01:24:40 2023 found 52291989 duplicates and 181787006 unique relations Mon Nov 27 01:24:40 2023 memory use: 1449.5 MB Mon Nov 27 01:24:40 2023 reading ideals above 199950336 Mon Nov 27 01:24:40 2023 commencing singleton removal, initial pass Mon Nov 27 01:33:17 2023 memory use: 3012.0 MB Mon Nov 27 01:33:17 2023 reading all ideals from disk Mon Nov 27 01:33:18 2023 memory use: 4482.9 MB Mon Nov 27 01:33:23 2023 commencing in-memory singleton removal Mon Nov 27 01:33:27 2023 begin with 181787006 relations and 155993795 unique ideals Mon Nov 27 01:33:43 2023 reduce to 112261755 relations and 79019649 ideals in 16 passes Mon Nov 27 01:33:43 2023 max relations containing the same ideal: 29 Mon Nov 27 01:33:46 2023 reading ideals above 720000 Mon Nov 27 01:33:46 2023 commencing singleton removal, initial pass Mon Nov 27 01:42:22 2023 memory use: 2756.0 MB Mon Nov 27 01:42:22 2023 reading all ideals from disk Mon Nov 27 01:42:24 2023 memory use: 5508.8 MB Mon Nov 27 01:42:36 2023 keeping 100570615 ideals with weight <= 200, target excess is 596458 Mon Nov 27 01:42:47 2023 commencing in-memory singleton removal Mon Nov 27 01:42:52 2023 begin with 112261755 relations and 100570615 unique ideals Mon Nov 27 01:43:15 2023 reduce to 112205672 relations and 100514496 ideals in 10 passes Mon Nov 27 01:43:15 2023 max relations containing the same ideal: 200 Mon Nov 27 01:43:59 2023 removing 12488574 relations and 10488574 ideals in 2000000 cliques Mon Nov 27 01:44:03 2023 commencing in-memory singleton removal Mon Nov 27 01:44:08 2023 begin with 99717098 relations and 100514496 unique ideals Mon Nov 27 01:44:28 2023 reduce to 98520605 relations and 88800671 ideals in 10 passes Mon Nov 27 01:44:28 2023 max relations containing the same ideal: 193 Mon Nov 27 01:45:07 2023 removing 9612513 relations and 7612513 ideals in 2000000 cliques Mon Nov 27 01:45:10 2023 commencing in-memory singleton removal Mon Nov 27 01:45:14 2023 begin with 88908092 relations and 88800671 unique ideals Mon Nov 27 01:45:28 2023 reduce to 88098772 relations and 80361626 ideals in 8 passes Mon Nov 27 01:45:28 2023 max relations containing the same ideal: 179 Mon Nov 27 01:46:04 2023 removing 8756739 relations and 6756739 ideals in 2000000 cliques Mon Nov 27 01:46:06 2023 commencing in-memory singleton removal Mon Nov 27 01:46:10 2023 begin with 79342033 relations and 80361626 unique ideals Mon Nov 27 01:46:22 2023 reduce to 78601133 relations and 72847841 ideals in 8 passes Mon Nov 27 01:46:22 2023 max relations containing the same ideal: 168 Mon Nov 27 01:46:54 2023 removing 8354341 relations and 6354341 ideals in 2000000 cliques Mon Nov 27 01:46:56 2023 commencing in-memory singleton removal Mon Nov 27 01:46:59 2023 begin with 70246792 relations and 72847841 unique ideals Mon Nov 27 01:47:10 2023 reduce to 69503692 relations and 65732997 ideals in 8 passes Mon Nov 27 01:47:10 2023 max relations containing the same ideal: 154 Mon Nov 27 01:47:39 2023 removing 8128373 relations and 6128373 ideals in 2000000 cliques Mon Nov 27 01:47:41 2023 commencing in-memory singleton removal Mon Nov 27 01:47:43 2023 begin with 61375319 relations and 65732997 unique ideals Mon Nov 27 01:47:54 2023 reduce to 60595118 relations and 58804144 ideals in 9 passes Mon Nov 27 01:47:54 2023 max relations containing the same ideal: 142 Mon Nov 27 01:48:19 2023 removing 4998205 relations and 3899123 ideals in 1099082 cliques Mon Nov 27 01:48:20 2023 commencing in-memory singleton removal Mon Nov 27 01:48:23 2023 begin with 55596913 relations and 58804144 unique ideals Mon Nov 27 01:48:31 2023 reduce to 55286468 relations and 54589382 ideals in 8 passes Mon Nov 27 01:48:31 2023 max relations containing the same ideal: 132 Mon Nov 27 01:48:59 2023 relations with 0 large ideals: 22423 Mon Nov 27 01:48:59 2023 relations with 1 large ideals: 4691 Mon Nov 27 01:48:59 2023 relations with 2 large ideals: 43501 Mon Nov 27 01:48:59 2023 relations with 3 large ideals: 387701 Mon Nov 27 01:48:59 2023 relations with 4 large ideals: 1945952 Mon Nov 27 01:48:59 2023 relations with 5 large ideals: 5954105 Mon Nov 27 01:48:59 2023 relations with 6 large ideals: 11597301 Mon Nov 27 01:48:59 2023 relations with 7+ large ideals: 35330794 Mon Nov 27 01:48:59 2023 commencing 2-way merge Mon Nov 27 01:49:30 2023 reduce to 35986969 relation sets and 35289883 unique ideals Mon Nov 27 01:49:30 2023 commencing full merge Mon Nov 27 02:02:16 2023 memory use: 4770.3 MB Mon Nov 27 02:02:18 2023 found 16746272 cycles, need 16724083 Mon Nov 27 02:02:23 2023 weight of 16724083 cycles is about 1840060601 (110.02/cycle) Mon Nov 27 02:02:23 2023 distribution of cycle lengths: Mon Nov 27 02:02:23 2023 1 relations: 1140131 Mon Nov 27 02:02:23 2023 2 relations: 1374147 Mon Nov 27 02:02:23 2023 3 relations: 1449998 Mon Nov 27 02:02:23 2023 4 relations: 1388934 Mon Nov 27 02:02:23 2023 5 relations: 1327757 Mon Nov 27 02:02:23 2023 6 relations: 1250247 Mon Nov 27 02:02:23 2023 7 relations: 1160686 Mon Nov 27 02:02:23 2023 8 relations: 1074978 Mon Nov 27 02:02:23 2023 9 relations: 982398 Mon Nov 27 02:02:23 2023 10+ relations: 5574807 Mon Nov 27 02:02:23 2023 heaviest cycle: 28 relations Mon Nov 27 02:02:27 2023 commencing cycle optimization Mon Nov 27 02:02:54 2023 start with 132734730 relations Mon Nov 27 02:07:00 2023 pruned 5314789 relations Mon Nov 27 02:07:00 2023 memory use: 3659.4 MB Mon Nov 27 02:07:00 2023 distribution of cycle lengths: Mon Nov 27 02:07:00 2023 1 relations: 1140131 Mon Nov 27 02:07:00 2023 2 relations: 1406685 Mon Nov 27 02:07:00 2023 3 relations: 1510146 Mon Nov 27 02:07:00 2023 4 relations: 1440295 Mon Nov 27 02:07:00 2023 5 relations: 1384129 Mon Nov 27 02:07:00 2023 6 relations: 1294753 Mon Nov 27 02:07:00 2023 7 relations: 1205452 Mon Nov 27 02:07:00 2023 8 relations: 1108113 Mon Nov 27 02:07:00 2023 9 relations: 1009479 Mon Nov 27 02:07:00 2023 10+ relations: 5224900 Mon Nov 27 02:07:00 2023 heaviest cycle: 28 relations Mon Nov 27 02:07:33 2023 RelProcTime: 3422 Mon Nov 27 02:07:33 2023 elapsed time 00:57:03 Mon Nov 27 02:10:39 2023 Mon Nov 27 02:10:39 2023 Mon Nov 27 02:10:39 2023 Msieve v. 1.54 (SVN Unversioned directory) Mon Nov 27 02:10:39 2023 random seeds: 490d7d06 ae9209a4 Mon Nov 27 02:10:39 2023 Using 4 OpenMP threads Mon Nov 27 02:10:39 2023 factoring 191111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (258 digits) Mon Nov 27 02:10:39 2023 searching for 15-digit factors Mon Nov 27 02:10:40 2023 commencing number field sieve (258-digit input) Mon Nov 27 02:10:40 2023 R0: -10000000000000000000000000000000000000000000 Mon Nov 27 02:10:40 2023 R1: 1 Mon Nov 27 02:10:40 2023 A0: -25 Mon Nov 27 02:10:40 2023 A1: 0 Mon Nov 27 02:10:40 2023 A2: 0 Mon Nov 27 02:10:40 2023 A3: 0 Mon Nov 27 02:10:40 2023 A4: 0 Mon Nov 27 02:10:40 2023 A5: 0 Mon Nov 27 02:10:40 2023 A6: 43 Mon Nov 27 02:10:40 2023 skew 1.00, size 5.872e-13, alpha 1.206, combined = 7.948e-14 rroots = 2 Mon Nov 27 02:10:40 2023 Mon Nov 27 02:10:40 2023 commencing linear algebra Mon Nov 27 02:10:40 2023 using VBITS=256 Mon Nov 27 02:10:41 2023 read 16724083 cycles Mon Nov 27 02:11:01 2023 cycles contain 54793243 unique relations Mon Nov 27 02:14:43 2023 read 54793243 relations Mon Nov 27 02:15:19 2023 using 20 quadratic characters above 4294917295 Mon Nov 27 02:16:14 2023 building initial matrix Mon Nov 27 02:23:32 2023 memory use: 7082.6 MB Mon Nov 27 02:23:39 2023 read 16724083 cycles Mon Nov 27 02:23:40 2023 matrix is 16723906 x 16724083 (7248.6 MB) with weight 2070821036 (123.82/col) Mon Nov 27 02:23:40 2023 sparse part has weight 1732930680 (103.62/col) Mon Nov 27 02:26:10 2023 filtering completed in 2 passes Mon Nov 27 02:26:12 2023 matrix is 16723545 x 16723717 (7248.6 MB) with weight 2070810872 (123.82/col) Mon Nov 27 02:26:12 2023 sparse part has weight 1732928089 (103.62/col) Mon Nov 27 02:26:44 2023 matrix starts at (0, 0) Mon Nov 27 02:26:46 2023 matrix is 16723545 x 16723717 (7248.6 MB) with weight 2070810872 (123.82/col) Mon Nov 27 02:26:46 2023 sparse part has weight 1732928089 (103.62/col) Mon Nov 27 02:26:46 2023 saving the first 240 matrix rows for later Mon Nov 27 02:26:48 2023 matrix includes 256 packed rows Mon Nov 27 02:26:52 2023 matrix is 16723305 x 16723717 (6765.4 MB) with weight 1583479196 (94.68/col) Mon Nov 27 02:26:52 2023 sparse part has weight 1505921401 (90.05/col) Mon Nov 27 02:26:52 2023 using block size 8192 and superblock size 294912 for processor cache size 12288 kB Mon Nov 27 02:27:15 2023 commencing Lanczos iteration (4 threads) Mon Nov 27 02:27:15 2023 memory use: 9542.4 MB Mon Nov 27 02:28:57 2023 lanczos halted after 13 iterations (dim = 3322) Mon Nov 27 02:28:59 2023 BLanczosTime: 1099 Mon Nov 27 02:28:59 2023 elapsed time 00:18:20 Mon Nov 27 06:03:49 2023 Mon Nov 27 06:03:49 2023 Mon Nov 27 06:03:49 2023 Msieve v. 1.54 (SVN unknown) Mon Nov 27 06:03:49 2023 random seeds: f3150f5d e0bb98a3 Mon Nov 27 06:03:49 2023 factoring 191111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (258 digits) Mon Nov 27 06:03:50 2023 no P-1/P+1/ECM available, skipping Mon Nov 27 06:03:50 2023 commencing number field sieve (258-digit input) Mon Nov 27 06:03:50 2023 R0: -10000000000000000000000000000000000000000000 Mon Nov 27 06:03:50 2023 R1: 1 Mon Nov 27 06:03:50 2023 A0: -25 Mon Nov 27 06:03:50 2023 A1: 0 Mon Nov 27 06:03:50 2023 A2: 0 Mon Nov 27 06:03:50 2023 A3: 0 Mon Nov 27 06:03:50 2023 A4: 0 Mon Nov 27 06:03:50 2023 A5: 0 Mon Nov 27 06:03:50 2023 A6: 43 Mon Nov 27 06:03:50 2023 skew 1.00, size 5.872e-13, alpha 1.206, combined = 7.948e-14 rroots = 2 Mon Nov 27 06:03:50 2023 Mon Nov 27 06:03:50 2023 commencing linear algebra Mon Nov 27 06:03:50 2023 using VBITS=128 Mon Nov 27 06:03:50 2023 skipping matrix build Mon Nov 27 06:03:57 2023 matrix starts at (0, 0) Mon Nov 27 06:03:59 2023 matrix is 16723545 x 16723717 (7248.6 MB) with weight 2070810872 (123.82/col) Mon Nov 27 06:03:59 2023 sparse part has weight 1732928089 (103.62/col) Mon Nov 27 06:03:59 2023 saving the first 112 matrix rows for later Mon Nov 27 06:04:05 2023 matrix includes 128 packed rows Mon Nov 27 06:04:08 2023 matrix is 16723433 x 16723717 (6806.0 MB) with weight 1665034990 (99.56/col) Mon Nov 27 06:04:08 2023 sparse part has weight 1583479196 (94.68/col) Mon Nov 27 06:04:08 2023 using GPU 0 (Tesla P100-PCIE-16GB) Mon Nov 27 06:04:08 2023 selected card has CUDA arch 6.0 Mon Nov 27 06:08:08 2023 commencing Lanczos iteration Mon Nov 27 06:08:24 2023 Mon Nov 27 06:08:24 2023 Mon Nov 27 06:08:24 2023 Msieve v. 1.54 (SVN unknown) Mon Nov 27 06:08:24 2023 random seeds: b4b6c7c3 fc13968f Mon Nov 27 06:08:24 2023 factoring 191111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (258 digits) Mon Nov 27 06:08:25 2023 no P-1/P+1/ECM available, skipping Mon Nov 27 06:08:25 2023 commencing number field sieve (258-digit input) Mon Nov 27 06:08:25 2023 R0: -10000000000000000000000000000000000000000000 Mon Nov 27 06:08:25 2023 R1: 1 Mon Nov 27 06:08:25 2023 A0: -25 Mon Nov 27 06:08:25 2023 A1: 0 Mon Nov 27 06:08:25 2023 A2: 0 Mon Nov 27 06:08:25 2023 A3: 0 Mon Nov 27 06:08:25 2023 A4: 0 Mon Nov 27 06:08:25 2023 A5: 0 Mon Nov 27 06:08:25 2023 A6: 43 Mon Nov 27 06:08:25 2023 skew 1.00, size 5.872e-13, alpha 1.206, combined = 7.948e-14 rroots = 2 Mon Nov 27 06:08:25 2023 Mon Nov 27 06:08:25 2023 commencing linear algebra Mon Nov 27 06:08:25 2023 using VBITS=128 Mon Nov 27 06:08:25 2023 skipping matrix build Mon Nov 27 06:08:32 2023 matrix starts at (0, 0) Mon Nov 27 06:08:34 2023 matrix is 16723545 x 16723717 (7248.6 MB) with weight 2070810872 (123.82/col) Mon Nov 27 06:08:34 2023 sparse part has weight 1732928089 (103.62/col) Mon Nov 27 06:08:34 2023 saving the first 112 matrix rows for later Mon Nov 27 06:08:39 2023 matrix includes 128 packed rows Mon Nov 27 06:08:42 2023 matrix is 16723433 x 16723717 (6806.0 MB) with weight 1665034990 (99.56/col) Mon Nov 27 06:08:42 2023 sparse part has weight 1583479196 (94.68/col) Mon Nov 27 06:08:42 2023 using GPU 0 (Tesla P100-PCIE-16GB) Mon Nov 27 06:08:42 2023 selected card has CUDA arch 6.0 Mon Nov 27 06:12:01 2023 commencing Lanczos iteration Mon Nov 27 06:12:02 2023 memory use: 14888.0 MB Mon Nov 27 06:12:11 2023 linear algebra at 0.0%, ETA 24h19m Mon Nov 27 06:12:14 2023 checkpointing every 670000 dimensions Mon Nov 27 15:07:57 2023 Mon Nov 27 15:07:57 2023 Mon Nov 27 15:07:57 2023 Msieve v. 1.54 (SVN unknown) Mon Nov 27 15:07:57 2023 random seeds: 1dc65666 e8d09bc4 Mon Nov 27 15:07:57 2023 factoring 191111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (258 digits) Mon Nov 27 15:07:58 2023 no P-1/P+1/ECM available, skipping Mon Nov 27 15:07:58 2023 commencing number field sieve (258-digit input) Mon Nov 27 15:07:58 2023 R0: -10000000000000000000000000000000000000000000 Mon Nov 27 15:07:58 2023 R1: 1 Mon Nov 27 15:07:58 2023 A0: -25 Mon Nov 27 15:07:58 2023 A1: 0 Mon Nov 27 15:07:58 2023 A2: 0 Mon Nov 27 15:07:58 2023 A3: 0 Mon Nov 27 15:07:58 2023 A4: 0 Mon Nov 27 15:07:58 2023 A5: 0 Mon Nov 27 15:07:58 2023 A6: 43 Mon Nov 27 15:07:58 2023 skew 1.00, size 5.872e-13, alpha 1.206, combined = 7.948e-14 rroots = 2 Mon Nov 27 15:07:58 2023 Mon Nov 27 15:07:58 2023 commencing linear algebra Mon Nov 27 15:07:58 2023 using VBITS=128 Mon Nov 27 15:07:58 2023 skipping matrix build Mon Nov 27 15:08:05 2023 matrix starts at (0, 0) Mon Nov 27 15:08:07 2023 matrix is 16723545 x 16723717 (7248.6 MB) with weight 2070810872 (123.82/col) Mon Nov 27 15:08:07 2023 sparse part has weight 1732928089 (103.62/col) Mon Nov 27 15:08:07 2023 saving the first 112 matrix rows for later Mon Nov 27 15:08:12 2023 matrix includes 128 packed rows Mon Nov 27 15:08:16 2023 matrix is 16723433 x 16723717 (6806.0 MB) with weight 1665034990 (99.56/col) Mon Nov 27 15:08:16 2023 sparse part has weight 1583479196 (94.68/col) Mon Nov 27 15:08:16 2023 using GPU 0 (Tesla P100-PCIE-16GB) Mon Nov 27 15:08:16 2023 selected card has CUDA arch 6.0 Mon Nov 27 15:11:41 2023 commencing Lanczos iteration Mon Nov 27 15:11:42 2023 memory use: 14888.0 MB Mon Nov 27 15:11:48 2023 restarting at iteration 42127 (dim = 5360043) Mon Nov 27 15:11:57 2023 linear algebra at 32.1%, ETA 18h34m Mon Nov 27 15:11:59 2023 checkpointing every 670000 dimensions Tue Nov 28 06:27:42 2023 Tue Nov 28 06:27:42 2023 Tue Nov 28 06:27:42 2023 Msieve v. 1.54 (SVN unknown) Tue Nov 28 06:27:42 2023 random seeds: b7a83702 68e06328 Tue Nov 28 06:27:42 2023 factoring 191111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (258 digits) Tue Nov 28 06:27:43 2023 no P-1/P+1/ECM available, skipping Tue Nov 28 06:27:43 2023 commencing number field sieve (258-digit input) Tue Nov 28 06:27:43 2023 R0: -10000000000000000000000000000000000000000000 Tue Nov 28 06:27:43 2023 R1: 1 Tue Nov 28 06:27:43 2023 A0: -25 Tue Nov 28 06:27:43 2023 A1: 0 Tue Nov 28 06:27:43 2023 A2: 0 Tue Nov 28 06:27:43 2023 A3: 0 Tue Nov 28 06:27:43 2023 A4: 0 Tue Nov 28 06:27:43 2023 A5: 0 Tue Nov 28 06:27:43 2023 A6: 43 Tue Nov 28 06:27:43 2023 skew 1.00, size 5.872e-13, alpha 1.206, combined = 7.948e-14 rroots = 2 Tue Nov 28 06:27:43 2023 Tue Nov 28 06:27:43 2023 commencing linear algebra Tue Nov 28 06:27:43 2023 using VBITS=128 Tue Nov 28 06:27:43 2023 skipping matrix build Tue Nov 28 06:27:50 2023 matrix starts at (0, 0) Tue Nov 28 06:27:52 2023 matrix is 16723545 x 16723717 (7248.6 MB) with weight 2070810872 (123.82/col) Tue Nov 28 06:27:52 2023 sparse part has weight 1732928089 (103.62/col) Tue Nov 28 06:27:52 2023 saving the first 112 matrix rows for later Tue Nov 28 06:27:56 2023 matrix includes 128 packed rows Tue Nov 28 06:28:00 2023 matrix is 16723433 x 16723717 (6806.0 MB) with weight 1665034990 (99.56/col) Tue Nov 28 06:28:00 2023 sparse part has weight 1583479196 (94.68/col) Tue Nov 28 06:28:00 2023 using GPU 0 (Tesla P100-PCIE-16GB) Tue Nov 28 06:28:00 2023 selected card has CUDA arch 6.0 Tue Nov 28 06:31:17 2023 commencing Lanczos iteration Tue Nov 28 06:31:18 2023 memory use: 14888.0 MB Tue Nov 28 06:31:24 2023 restarting at iteration 68458 (dim = 8710031) Tue Nov 28 06:31:32 2023 linear algebra at 52.1%, ETA 11h40m Tue Nov 28 06:31:35 2023 checkpointing every 670000 dimensions Tue Nov 28 18:13:31 2023 lanczos halted after 131440 iterations (dim = 16723433) Tue Nov 28 18:13:59 2023 recovered 35 nontrivial dependencies Tue Nov 28 18:14:00 2023 BLanczosTime: 42377 Tue Nov 28 18:14:00 2023 elapsed time 11:46:18 Tue Nov 28 23:25:12 2023 Tue Nov 28 23:25:12 2023 Tue Nov 28 23:25:12 2023 Msieve v. 1.54 (SVN Unversioned directory) Tue Nov 28 23:25:12 2023 random seeds: cd5cf4ae b3ebe491 Tue Nov 28 23:25:12 2023 Using 4 OpenMP threads Tue Nov 28 23:25:12 2023 factoring 191111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (258 digits) Tue Nov 28 23:25:13 2023 searching for 15-digit factors Tue Nov 28 23:25:13 2023 commencing number field sieve (258-digit input) Tue Nov 28 23:25:13 2023 R0: -10000000000000000000000000000000000000000000 Tue Nov 28 23:25:13 2023 R1: 1 Tue Nov 28 23:25:13 2023 A0: -25 Tue Nov 28 23:25:13 2023 A1: 0 Tue Nov 28 23:25:13 2023 A2: 0 Tue Nov 28 23:25:13 2023 A3: 0 Tue Nov 28 23:25:13 2023 A4: 0 Tue Nov 28 23:25:13 2023 A5: 0 Tue Nov 28 23:25:13 2023 A6: 43 Tue Nov 28 23:25:13 2023 skew 1.00, size 5.872e-13, alpha 1.206, combined = 7.948e-14 rroots = 2 Tue Nov 28 23:25:13 2023 Tue Nov 28 23:25:13 2023 commencing square root phase Tue Nov 28 23:25:13 2023 reading relations for dependency 1 Tue Nov 28 23:25:15 2023 read 8362440 cycles Tue Nov 28 23:25:26 2023 cycles contain 27398760 unique relations Tue Nov 28 23:31:45 2023 read 27398760 relations Tue Nov 28 23:33:23 2023 multiplying 27398760 relations Tue Nov 28 23:45:38 2023 multiply complete, coefficients have about 862.80 million bits Tue Nov 28 23:45:41 2023 initial square root is modulo 55029277 Tue Nov 28 23:59:00 2023 GCD is 1, no factor found Tue Nov 28 23:59:00 2023 reading relations for dependency 2 Tue Nov 28 23:59:02 2023 read 8361783 cycles Tue Nov 28 23:59:12 2023 cycles contain 27389708 unique relations Wed Nov 29 00:04:28 2023 read 27389708 relations Wed Nov 29 00:06:03 2023 multiplying 27389708 relations Wed Nov 29 00:18:18 2023 multiply complete, coefficients have about 862.52 million bits Wed Nov 29 00:18:21 2023 initial square root is modulo 54712033 Wed Nov 29 00:32:06 2023 GCD is 1, no factor found Wed Nov 29 00:32:06 2023 reading relations for dependency 3 Wed Nov 29 00:32:08 2023 read 8362984 cycles Wed Nov 29 00:32:19 2023 cycles contain 27400556 unique relations Wed Nov 29 00:38:29 2023 read 27400556 relations Wed Nov 29 00:40:06 2023 multiplying 27400556 relations Wed Nov 29 00:51:27 2023 multiply complete, coefficients have about 862.85 million bits Wed Nov 29 00:51:29 2023 initial square root is modulo 55090507 Wed Nov 29 01:03:08 2023 sqrtTime: 5875 Wed Nov 29 01:03:08 2023 p71 factor: 40664706344627100513637040612629207671807488797181489018059139562373921 Wed Nov 29 01:03:08 2023 p187 factor: 4699680098301312826210644879709100417077879020927400471590399874492471880589898773633153022580140625631415777862636841231163597248391168636436447752908417928869590865530127374340930748391 Wed Nov 29 01:03:08 2023 elapsed time 01:37:56

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	January 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
40	3e6	600		Dmitry Domanov	January 18, 2016 21:17:07 UTC 2016 年 1 月 19 日 (火) 6 時 17 分 7 秒 (日本時間)
45	11e6	1200		Dmitry Domanov	January 20, 2016 08:13:17 UTC 2016 年 1 月 20 日 (水) 17 時 13 分 17 秒 (日本時間)
50	43e6	5460	600	Dmitry Domanov	February 8, 2016 14:43:19 UTC 2016 年 2 月 8 日 (月) 23 時 43 分 19 秒 (日本時間)
			300	Dmitry Domanov	February 13, 2016 20:56:29 UTC 2016 年 2 月 14 日 (日) 5 時 56 分 29 秒 (日本時間)
			2000	Dmitry Domanov	January 2, 2017 01:31:46 UTC 2017 年 1 月 2 日 (月) 10 時 31 分 46 秒 (日本時間)
			2560	Dmitry Domanov	February 21, 2017 14:38:11 UTC 2017 年 2 月 21 日 (火) 23 時 38 分 11 秒 (日本時間)
55	11e7	750		Dmitry Domanov	February 25, 2017 16:35:00 UTC 2017 年 2 月 26 日 (日) 1 時 35 分 0 秒 (日本時間)
60	26e7	10000 / 41075		yoyo@Home	November 1, 2022 08:16:35 UTC 2022 年 11 月 1 日 (火) 17 時 16 分 35 秒 (日本時間)

172×10²⁵⁷-19

c187

name 名前	Dmitry Domanov
date 日付	January 10, 2017 10:46:47 UTC 2017 年 1 月 10 日 (火) 19 時 46 分 47 秒 (日本時間)
composite number 合成数	1016376758192586823686748310781262992537861927238533681347373810197706631225328732169620111378856834078246376388757955838540389458252463074887430234103074385803501908823409360882238873489<187>
prime factors 素因数	883748277016705902017397367830392741917<39>
composite cofactor 合成数の残り	1150074953043867472466409778465260452554134839893995406966977876252619598399344689535299485432573436227258965590209629045939742265918193519223507717<148>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3337612346 Step 1 took 80484ms Step 2 took 26805ms ********** Factor found in step 2: 883748277016705902017397367830392741917 Found probable prime factor of 39 digits: 883748277016705902017397367830392741917 Composite cofactor 1150074953043867472466409778465260452554134839893995406966977876252619598399344689535299485432573436227258965590209629045939742265918193519223507717 has 148 digits

c148

name 名前	ebina
date 日付	August 12, 2022 20:43:08 UTC 2022 年 8 月 13 日 (土) 5 時 43 分 8 秒 (日本時間)
composite number 合成数	1150074953043867472466409778465260452554134839893995406966977876252619598399344689535299485432573436227258965590209629045939742265918193519223507717<148>
prime factors 素因数	386729208487945283351881208239904793340623266910509166518346430207<66> 2973850766381190989893709952792455443866694784036948082286276042006640108410855931<82>
factorization results 素因数分解の結果	Number: 19111_257 N = 1150074953043867472466409778465260452554134839893995406966977876252619598399344689535299485432573436227258965590209629045939742265918193519223507717 (148 digits) Divisors found: r1=386729208487945283351881208239904793340623266910509166518346430207 (pp66) r2=2973850766381190989893709952792455443866694784036948082286276042006640108410855931 (pp82) Version: Msieve v. 1.53 (SVN unknown) Total time: 61.17 hours. Factorization parameters were as follows: n: 1150074953043867472466409778465260452554134839893995406966977876252619598399344689535299485432573436227258965590209629045939742265918193519223507717 # norm 3.173385e-14 alpha -9.158520 e 7.514e-12 rroots 5 skew: 53748905.43 c0: 9362074542236057822729740668541852846365 c1: 4241306505043048115716778558342029 c2: 79184574556224503906840821 c3: -6748946861596727285 c4: -18313256082 c5: 360 Y0: -79594887141577269805639594094 Y1: 7968848939718583 type: gnfs Factor base limits: 18700000/18700000 Large primes per side: 3 Large prime bits: 29/29 Sieved algebraic special-q in [0, 0) Total raw relations: 42894684 Relations: 6515138 relations Pruned matrix : 3815100 x 3815326 Total sieving time: 47.59 hours. Total relation processing time: 0.45 hours. Matrix solve time: 12.60 hours. time per square root: 0.52 hours. Prototype def-par.txt line would be: gnfs,147,5,65,2000,1e-05,0.28,250,20,50000,3600,18700000,18700000,29,29,58,58,2.6,2.6,100000 total time: 61.17 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel processors: 2, speed: 2.99GHz Windows-7-6.1.7601-SP1 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	904		Makoto Kamada	January 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
40	3e6	600		Dmitry Domanov	January 19, 2016 07:20:57 UTC 2016 年 1 月 19 日 (火) 16 時 20 分 57 秒 (日本時間)
45	11e6	480		Dmitry Domanov	January 10, 2017 08:59:07 UTC 2017 年 1 月 10 日 (火) 17 時 59 分 7 秒 (日本時間)
50	43e6	8732	5000	yoyo@Home	February 29, 2020 02:42:01 UTC 2020 年 2 月 29 日 (土) 11 時 42 分 1 秒 (日本時間)
50	43e6	8732	3732	Ignacio Santos	July 4, 2021 14:02:07 UTC 2021 年 7 月 4 日 (日) 23 時 2 分 7 秒 (日本時間)

172×10²⁵⁸-19

c247

composite cofactor 合成数の残り

2568469660168881516112131829616151488729464401623361905446993324158832328897774256043656148393691103240506021878223483246157666118182991430281650500082561897276533666963597394060200822704970011734342741810672613998183814827645756875401255864103237<247>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	904	Makoto Kamada	January 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
40	3e6	2350	Ignacio Santos	January 15, 2022 17:07:46 UTC 2022 年 1 月 16 日 (日) 2 時 7 分 46 秒 (日本時間)
45	11e6	4001	Thomas Kozlowski	January 9, 2025 18:44:20 UTC 2025 年 1 月 10 日 (金) 3 時 44 分 20 秒 (日本時間)

172×10²⁵⁹-19

c202

composite cofactor 合成数の残り

8452033360990654583581083491979057525246855307367300350215609880093893096440775928693128990201775788790083736135008476570692445952551411243962953161288795095744412604325581704288572210426905723401558389<202>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	January 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
40	3e6	2950	600	Dmitry Domanov	January 19, 2016 07:21:11 UTC 2016 年 1 月 19 日 (火) 16 時 21 分 11 秒 (日本時間)
40	3e6	2950	2350	Ignacio Santos	January 15, 2022 17:08:03 UTC 2022 年 1 月 16 日 (日) 2 時 8 分 3 秒 (日本時間)
45	11e6	3800		Thomas Kozlowski	January 9, 2025 19:59:37 UTC 2025 年 1 月 10 日 (金) 4 時 59 分 37 秒 (日本時間)

172×10²⁶⁰-19

c175

composite cofactor 合成数の残り	3163987920163194593898829563908840567086531832073287160240071289858200222064485982717925806883734237600677443717106808959243914421479257337186984376820474073279313130003518669<175>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	January 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
40	3e6	600		Dmitry Domanov	January 18, 2016 14:29:12 UTC 2016 年 1 月 18 日 (月) 23 時 29 分 12 秒 (日本時間)
45	11e6	1400	600	Dmitry Domanov	January 19, 2016 06:40:28 UTC 2016 年 1 月 19 日 (火) 15 時 40 分 28 秒 (日本時間)
45	11e6	1400	800	Dmitry Domanov	February 10, 2016 13:35:04 UTC 2016 年 2 月 10 日 (水) 22 時 35 分 4 秒 (日本時間)
50	43e6	600 / 6922		Dmitry Domanov	February 11, 2016 14:27:39 UTC 2016 年 2 月 11 日 (木) 23 時 27 分 39 秒 (日本時間)
55	11e7	120 / 17462		Dmitry Domanov	February 28, 2016 19:22:09 UTC 2016 年 2 月 29 日 (月) 4 時 22 分 9 秒 (日本時間)

172×10²⁶¹-19

c261

composite cofactor 合成数の残り

830917874396135265700483091787439613526570048309178743961352657004830917874396135265700483091787439613526570048309178743961352657004830917874396135265700483091787439613526570048309178743961352657004830917874396135265700483091787439613526570048309178743961352657<261>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	January 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
40	3e6	600		Dmitry Domanov	January 18, 2016 21:15:46 UTC 2016 年 1 月 19 日 (火) 6 時 15 分 46 秒 (日本時間)
45	11e6	4400	800	Dmitry Domanov	January 19, 2016 14:10:27 UTC 2016 年 1 月 19 日 (火) 23 時 10 分 27 秒 (日本時間)
45	11e6	4400	3600	Thomas Kozlowski	January 9, 2025 21:42:53 UTC 2025 年 1 月 10 日 (金) 6 時 42 分 53 秒 (日本時間)

172×10²⁶²-19

c228

composite cofactor 合成数の残り

160443861328852058870772572039157921901992940839594510295239563398400847273232151518911633025449428832250317777704689714548501895845500088977565165208415533539727459626447812081264154438612458162087981743589353084670904199290629<228>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	January 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
40	3e6	2950	600	Dmitry Domanov	January 19, 2016 07:25:18 UTC 2016 年 1 月 19 日 (火) 16 時 25 分 18 秒 (日本時間)
40	3e6	2950	2350	Ignacio Santos	January 15, 2022 17:28:29 UTC 2022 年 1 月 16 日 (日) 2 時 28 分 29 秒 (日本時間)
45	11e6	3804		Thomas Kozlowski	January 9, 2025 23:08:38 UTC 2025 年 1 月 10 日 (金) 8 時 8 分 38 秒 (日本時間)

172×10²⁶³-19

c246

name 名前	Thomas Kozlowski
date 日付	January 10, 2025 02:28:31 UTC 2025 年 1 月 10 日 (金) 11 時 28 分 31 秒 (日本時間)
composite number 合成数	111823258408194873356714143070738526147076272292954201786477372113113003829596081597712923960463024345498998673494826028450984971018636490528778634666666711194791865850912475279314743248777354720819215565887257406548401595569219881176864240115061<246>
prime factors 素因数	96095820881709665270460760074953149318259<41>
composite cofactor 合成数の残り	1163664115485782582473389465525749324257991087325693424950965199204746374762827168916308225222389072965476320644027952629778375279880479490617702078203424469700512276629714806910996511403803830649758991479<205>
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 111823258408194873356714143070738526147076272292954201786477372113113003829596081597712923960463024345498998673494826028450984971018636490528778634666666711194791865850912475279314743248777354720819215565887257406548401595569219881176864240115061 (246 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3458388302 Step 1 took 46267ms Step 2 took 16058ms Run 2 out of 0: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4233706406 Step 1 took 43565ms Step 2 took 16143ms Run 3 out of 0: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:65666065 Step 1 took 44836ms Step 2 took 16026ms ** Factor found in step 2: 96095820881709665270460760074953149318259 Found prime factor of 41 digits: 96095820881709665270460760074953149318259 Composite cofactor 1163664115485782582473389465525749324257991087325693424950965199204746374762827168916308225222389072965476320644027952629778375279880479490617702078203424469700512276629714806910996511403803830649758991479 has 205 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	904		Makoto Kamada	January 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 15, 2022 17:39:37 UTC 2022 年 1 月 16 日 (日) 2 時 39 分 37 秒 (日本時間)

172×10²⁶⁴-19

c175

name 名前	yoyo
date 日付	January 18, 2020 22:30:46 UTC 2020 年 1 月 19 日 (日) 7 時 30 分 46 秒 (日本時間)
composite number 合成数	1039030495604281330548983934008986494630181272584589173335421319228877106838465042031693047723845687302212703319445335439116818693459538676236903745295645075047377227776956099<175>
prime factors 素因数	114646828487295290284656994086284732547103921246507283<54> 9062880406843723507823011101614913041297486856413226195063307448509791222867419463858910827886982911249425975903504484753<121>
factorization results 素因数分解の結果	GMP-ECM 7.0.5-dev [configured with GMP 6.0.0, --enable-asm-redc, --enable-assert] [ECM] Tuned for x86_64/core2/params.h Running on mireyu Input number is 1039030495604281330548983934008986494630181272584589173335421319228877106838465042031693047723845687302212703319445335439116818693459538676236903745295645075047377227776956099 (175 digits) [Thu Dec 19 11:11:10 2019] Using MODMULN [mulredc:1, sqrredc:1] Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=0:2519091967419351547 dF=131072, k=4, d=1345890, d2=11, i0=71 Expected number of curves to find a factor of n digits: 35 40 45 50 55 60 65 70 75 80 34 135 614 3135 17884 111314 752662 5482978 4.3e+07 3.6e+08 Writing checkpoint to checkpnt at p = 110000000 Step 1 took 519400ms Using 22 small primes for NTT Estimated memory usage: 515.28MB Initializing tables of differences for F took 440ms Computing roots of F took 15100ms Building F from its roots took 6381ms Computing 1/F took 2753ms Initializing table of differences for G took 373ms Found factor while computing G[] Computing roots of G took 3609ms Step 2 took 28939ms ********** Factor found in step 2: 114646828487295290284656994086284732547103921246507283 Found prime factor of 54 digits: 114646828487295290284656994086284732547103921246507283 Prime cofactor 9062880406843723507823011101614913041297486856413226195063307448509791222867419463858910827886982911249425975903504484753 has 121 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	January 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
40	3e6	600		Dmitry Domanov	January 18, 2016 14:28:55 UTC 2016 年 1 月 18 日 (月) 23 時 28 分 55 秒 (日本時間)
45	11e6	1400	600	Dmitry Domanov	January 19, 2016 06:40:47 UTC 2016 年 1 月 19 日 (火) 15 時 40 分 47 秒 (日本時間)
45	11e6	1400	800	Dmitry Domanov	February 10, 2016 13:35:25 UTC 2016 年 2 月 10 日 (水) 22 時 35 分 25 秒 (日本時間)
50	43e6	600 / 6922		Dmitry Domanov	February 11, 2016 14:28:03 UTC 2016 年 2 月 11 日 (木) 23 時 28 分 3 秒 (日本時間)
55	11e7	120 / 17462		Dmitry Domanov	February 28, 2016 19:22:39 UTC 2016 年 2 月 29 日 (月) 4 時 22 分 39 秒 (日本時間)

172×10²⁶⁷-19

c234

composite cofactor 合成数の残り

558898258633121266351319107488763942044493605054780213173842683838482841974898611287369204966708168666556646609229021713300939862429776632861674039172346985818203492000169430571320923297109296394766641736705959324946935364996003277393<234>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	904	Makoto Kamada	January 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
40	3e6	2352	ivelive	January 5, 2021 21:30:58 UTC 2021 年 1 月 6 日 (水) 6 時 30 分 58 秒 (日本時間)
45	11e6	4006	Thomas Kozlowski	January 10, 2025 00:54:14 UTC 2025 年 1 月 10 日 (金) 9 時 54 分 14 秒 (日本時間)

172×10²⁶⁸-19

c259

name 名前	Thomas Kozlowski
date 日付	January 10, 2025 02:29:12 UTC 2025 年 1 月 10 日 (金) 11 時 29 分 12 秒 (日本時間)
composite number 合成数	1371776846075428203630982804887644137088946586924763039520410654825569234522103926130399371851323944566551363130916923794460516949569939455054856309125694457638938857340949494807434986385238218752564580205153147789051903631736420724978967909081568267144523363<259>
prime factors 素因数	15289270393156793940147096001581304969453<41> 89721537444285841943709682277269334610974383668320448372823111858173019480312391911564272546837737809924231916738054788403491025503111344504470607585500417044552403384877107591927928361116227194443363074636015895587471<218>
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 1371776846075428203630982804887644137088946586924763039520410654825569234522103926130399371851323944566551363130916923794460516949569939455054856309125694457638938857340949494807434986385238218752564580205153147789051903631736420724978967909081568267144523363 (259 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1395025366 Step 1 took 56947ms Step 2 took 17944ms Run 2 out of 0: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:34019607 Step 1 took 48779ms Step 2 took 18423ms Run 3 out of 0: ... Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1014137579 Step 1 took 49972ms Step 2 took 17565ms Run 77 out of 0: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3523678983 Step 1 took 48885ms Step 2 took 17896ms ** Factor found in step 2: 15289270393156793940147096001581304969453 Found prime factor of 41 digits: 15289270393156793940147096001581304969453 Prime cofactor 89721537444285841943709682277269334610974383668320448372823111858173019480312391911564272546837737809924231916738054788403491025503111344504470607585500417044552403384877107591927928361116227194443363074636015895587471 has 218 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	904		Makoto Kamada	January 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	January 15, 2022 18:06:08 UTC 2022 年 1 月 16 日 (日) 3 時 6 分 8 秒 (日本時間)

172×10²⁶⁹-19

c224

composite cofactor 合成数の残り

32634607711308342147334232165542967176118853337801953642108340965792781810914455593500514578269756220125971788627927726217249295843205176055649632150816689341984411648119575085737738086992151210891587754214009205504482433967<224>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	January 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
40	3e6	2950	600	Dmitry Domanov	January 19, 2016 07:23:39 UTC 2016 年 1 月 19 日 (火) 16 時 23 分 39 秒 (日本時間)
40	3e6	2950	2350	Ignacio Santos	January 15, 2022 18:20:06 UTC 2022 年 1 月 16 日 (日) 3 時 20 分 6 秒 (日本時間)
45	11e6	3801		Thomas Kozlowski	January 10, 2025 03:47:27 UTC 2025 年 1 月 10 日 (金) 12 時 47 分 27 秒 (日本時間)

172×10²⁷⁰-19

c224

composite cofactor 合成数の残り

14911391271534699871994847718062416241790548324232820260604961180894694752875767210451567810663615720546345656874276102741233149876099305445709734124025072523938074026841711961116142388343104918827745584825187593413280735747<224>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	January 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
40	3e6	2950	600	Dmitry Domanov	January 19, 2016 07:23:25 UTC 2016 年 1 月 19 日 (火) 16 時 23 分 25 秒 (日本時間)
40	3e6	2950	2350	Ignacio Santos	January 15, 2022 18:31:27 UTC 2022 年 1 月 16 日 (日) 3 時 31 分 27 秒 (日本時間)
45	11e6	3801		Thomas Kozlowski	January 10, 2025 05:13:47 UTC 2025 年 1 月 10 日 (金) 14 時 13 分 47 秒 (日本時間)

172×10²⁷¹-19

c243

composite cofactor 合成数の残り

356861798616150153273495624717463114038505072437200545870650633572191443861181358117594766164383508458859198723256846691652412294030702209713779094417895949641511098463142849314040719763341436070503640988319162944090995425690196581439685447467<243>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	904	Makoto Kamada	January 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
40	3e6	2350	Ignacio Santos	January 15, 2022 18:53:02 UTC 2022 年 1 月 16 日 (日) 3 時 53 分 2 秒 (日本時間)
45	11e6	4002	Thomas Kozlowski	January 10, 2025 06:57:20 UTC 2025 年 1 月 10 日 (金) 15 時 57 分 20 秒 (日本時間)

172×10²⁷²-19

c271

composite cofactor 合成数の残り

7000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407<271>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	January 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
40	3e6	600		Dmitry Domanov	January 19, 2016 07:24:04 UTC 2016 年 1 月 19 日 (火) 16 時 24 分 4 秒 (日本時間)
45	11e6	4400	800	Dmitry Domanov	January 19, 2016 14:09:52 UTC 2016 年 1 月 19 日 (火) 23 時 9 分 52 秒 (日本時間)
45	11e6	4400	3600	Thomas Kozlowski	January 10, 2025 08:52:46 UTC 2025 年 1 月 10 日 (金) 17 時 52 分 46 秒 (日本時間)

172×10²⁷³-19

c275

name 名前	Dmitry Domanov
date 日付	February 7, 2016 10:26:51 UTC 2016 年 2 月 7 日 (日) 19 時 26 分 51 秒 (日本時間)
composite number 合成数	19111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<275>
prime factors 素因数	25633192873336746075705015972768871853<38>
composite cofactor 合成数の残り	745561085797867797336036859493219838200878784749375891114813485274415600417487803328219081923627614288522013034385990698679708130697866585170678148219087086443536861285460783871891261763870267721901625212391330605268902506701825268968387<237>
factorization results 素因数分解の結果	Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1800324800 Step 1 took 656573ms Step 2 took 145637ms ********** Factor found in step 2: 25633192873336746075705015972768871853 Found probable prime factor of 38 digits: 25633192873336746075705015972768871853

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	January 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
40	3e6	600		Dmitry Domanov	January 19, 2016 07:45:36 UTC 2016 年 1 月 19 日 (火) 16 時 45 分 36 秒 (日本時間)
45	11e6	2400	800	Dmitry Domanov	January 19, 2016 14:10:07 UTC 2016 年 1 月 19 日 (火) 23 時 10 分 7 秒 (日本時間)
45	11e6	2400	1600	Thomas Kozlowski	January 10, 2025 09:34:16 UTC 2025 年 1 月 10 日 (金) 18 時 34 分 16 秒 (日本時間)
50	43e6	600 / 6987		Dmitry Domanov	February 6, 2016 22:59:27 UTC 2016 年 2 月 7 日 (日) 7 時 59 分 27 秒 (日本時間)

172×10²⁷⁴-19

c208

composite cofactor 合成数の残り

7642957969605882762017253483700915318387735804053057147615897059057163174279766611618478590217045241547262853833445135334357271882181251686718429864375051300906478578881139934832296327100476827987774376151713<208>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	January 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
40	3e6	2200	600	Dmitry Domanov	January 19, 2016 07:21:44 UTC 2016 年 1 月 19 日 (火) 16 時 21 分 44 秒 (日本時間)
40	3e6	2200	1600	ebina	December 10, 2021 07:49:28 UTC 2021 年 12 月 10 日 (金) 16 時 49 分 28 秒 (日本時間)
45	11e6	4000		Thomas Kozlowski	January 10, 2025 10:53:37 UTC 2025 年 1 月 10 日 (金) 19 時 53 分 37 秒 (日本時間)

172×10²⁷⁵-19

c256

name 名前	Ignacio Santos
date 日付	January 15, 2022 18:54:19 UTC 2022 年 1 月 16 日 (日) 3 時 54 分 19 秒 (日本時間)
composite number 合成数	1903715480416286819178790717604069952543344603188148499616862540584859725113175802032483185630598221572311959658906387202635278993111356152696483976224422058997618928157331618308050401714067372927585728315903034928419374377130511219761328933457679929357207<256>
prime factors 素因数	29944356340079338391793699154966081278319<41>
composite cofactor 合成数の残り	63575101057298026827541512931449349366915616579791926040425409562684274239338374976443258151584584650019932338088779059386122982978132043200248092352215441694693214578549931541737280662742400695899301221838265457753<215>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4040778961 Step 1 took 15094ms Step 2 took 5859ms ********** Factor found in step 2: 29944356340079338391793699154966081278319 Found prime factor of 41 digits: 29944356340079338391793699154966081278319 Composite cofactor 63575101057298026827541512931449349366915616579791926040425409562684274239338374976443258151584584650019932338088779059386122982978132043200248092352215441694693214578549931541737280662742400695899301221838265457753 has 215 digits
software ソフトウェア	GMP-ECM

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	904	Makoto Kamada	January 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
40	3e6	2350	Ignacio Santos	January 16, 2022 20:03:54 UTC 2022 年 1 月 17 日 (月) 5 時 3 分 54 秒 (日本時間)
45	11e6	4001	Thomas Kozlowski	January 10, 2025 12:23:30 UTC 2025 年 1 月 10 日 (金) 21 時 23 分 30 秒 (日本時間)

172×10²⁷⁶-19

c226

composite cofactor 合成数の残り

1136887108416406529035231731922208213596245853976367349014711982196598195600167678344402162461011202513248037345615703020782941631601872620465890602355939157576527062940818984097574061804786189310988649583360827428243391437307<226>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	January 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
40	3e6	2950	600	Dmitry Domanov	January 19, 2016 07:23:05 UTC 2016 年 1 月 19 日 (火) 16 時 23 分 5 秒 (日本時間)
40	3e6	2950	2350	Ignacio Santos	January 15, 2022 19:11:37 UTC 2022 年 1 月 16 日 (日) 4 時 11 分 37 秒 (日本時間)
45	11e6	3800		Thomas Kozlowski	January 10, 2025 13:49:17 UTC 2025 年 1 月 10 日 (金) 22 時 49 分 17 秒 (日本時間)

172×10²⁷⁷-19

c234

composite cofactor 合成数の残り

138706003740540444313232932876213990742439586572040870280737574815825899895775060118674783132729226255203479806750703717369995365305252873015230055795719335926715065558251242463054280838809514056253646105627785577506968009784796225889<234>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	904	Makoto Kamada	January 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
40	3e6	2350	Ignacio Santos	January 15, 2022 19:38:37 UTC 2022 年 1 月 16 日 (日) 4 時 38 分 37 秒 (日本時間)
45	11e6	4000	Thomas Kozlowski	January 10, 2025 15:31:30 UTC 2025 年 1 月 11 日 (土) 0 時 31 分 30 秒 (日本時間)

172×10²⁷⁸-19

c231

composite cofactor 合成数の残り

114661496066384588001317856642150899896517879396569348834286385725812728435819751719833732953702117544045970895391333415688301635846741930527133247062333282741227273141147549377991241495544929604263678658531936455118958734046453467<231>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	904	Makoto Kamada	January 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
40	3e6	2350	Ignacio Santos	January 15, 2022 19:39:05 UTC 2022 年 1 月 16 日 (日) 4 時 39 分 5 秒 (日本時間)
45	11e6	4003	Thomas Kozlowski	January 10, 2025 17:02:34 UTC 2025 年 1 月 11 日 (土) 2 時 2 分 34 秒 (日本時間)

172×10²⁷⁹-19

c254

composite cofactor 合成数の残り

20170809206191621936953831420208796741919016106010767548094579916514708090817183655084185431571089681176960883320917599863278036680052613924179789235209505848923552175736139283656385767071167577669964391665474909191239287433922691487677143468963306076283<254>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	904	Makoto Kamada	January 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
40	3e6	2350	Ignacio Santos	January 15, 2022 20:01:44 UTC 2022 年 1 月 16 日 (日) 5 時 1 分 44 秒 (日本時間)
45	11e6	4002	Thomas Kozlowski	January 10, 2025 18:57:10 UTC 2025 年 1 月 11 日 (土) 3 時 57 分 10 秒 (日本時間)

172×10²⁸¹-19

c271

composite cofactor 合成数の残り

1535521605186436394750381697914467749564133470895254734162074896305605135471148549664280850545482784169565257912439001675033693643998308968511739838278030919583494858693246294881054066947101508586392476193215259858653835591559495715025579743394300539697995017074384389899<271>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	904	Makoto Kamada	January 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
40	3e6	2350	Ignacio Santos	January 15, 2022 20:13:51 UTC 2022 年 1 月 16 日 (日) 5 時 13 分 51 秒 (日本時間)
45	11e6	4000	Thomas Kozlowski	January 10, 2025 21:05:33 UTC 2025 年 1 月 11 日 (土) 6 時 5 分 33 秒 (日本時間)

172×10²⁸²-19

c249

composite cofactor 合成数の残り

137892253159165038020547513573020042864357388487057818590845287906972420988658589181962252098384071872568831379924042229219242404605495481967552137567844217582299522798593002057641289145450974084078100209038632167768576616909650677063860412382351611<249>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	904	Makoto Kamada	January 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
40	3e6	2350	Ignacio Santos	January 15, 2022 20:47:18 UTC 2022 年 1 月 16 日 (日) 5 時 47 分 18 秒 (日本時間)
45	11e6	4000	Thomas Kozlowski	January 10, 2025 22:48:16 UTC 2025 年 1 月 11 日 (土) 7 時 48 分 16 秒 (日本時間)

172×10²⁸³-19

c271

composite cofactor 合成数の残り

1569262826700584284659056061940006488506463967221031700532696550896652749196419102926368262985601788118818735453691057863684448510261948448120514069650888410459880856038885844275023358738732753209398595449411083941146780131619315962256044845411104198535150734646182913169<271>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	904	Makoto Kamada	January 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
40	3e6	2350	Ignacio Santos	January 15, 2022 21:13:34 UTC 2022 年 1 月 16 日 (日) 6 時 13 分 34 秒 (日本時間)
45	11e6	4002	Thomas Kozlowski	January 11, 2025 00:56:18 UTC 2025 年 1 月 11 日 (土) 9 時 56 分 18 秒 (日本時間)

172×10²⁸⁵-19

c276

composite cofactor 合成数の残り

899205517412081168733143734803353597263681240788621117694609645607730585094609589061296181416979721320428365253996124091189780266300000786324380136442125784485791736490047631369153678250022862340796729837805906793886816804315024321090827529776767206828092558613891114402024823<276>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	904	Makoto Kamada	January 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
40	3e6	2350	Ignacio Santos	January 15, 2022 21:13:52 UTC 2022 年 1 月 16 日 (日) 6 時 13 分 52 秒 (日本時間)
45	11e6	4002	Thomas Kozlowski	January 11, 2025 03:03:53 UTC 2025 年 1 月 11 日 (土) 12 時 3 分 53 秒 (日本時間)

172×10²⁸⁶-19

c204

composite cofactor 合成数の残り

384022876312560766042173036796950754738489237043393701136384050047626287640964991210480604899250495399446777844281972369128226371782250334831590285697006544155724847748117521481119750859484433235723658303<204>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	January 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
40	3e6	2950	600	Dmitry Domanov	January 19, 2016 07:22:11 UTC 2016 年 1 月 19 日 (火) 16 時 22 分 11 秒 (日本時間)
40	3e6	2950	2350	Ignacio Santos	January 15, 2022 22:08:11 UTC 2022 年 1 月 16 日 (日) 7 時 8 分 11 秒 (日本時間)
45	11e6	3801		Thomas Kozlowski	January 11, 2025 04:19:24 UTC 2025 年 1 月 11 日 (土) 13 時 19 分 24 秒 (日本時間)

172×10²⁸⁷-19

c263

composite cofactor 合成数の残り

50223031182725323919076249827057681245547039050919343243773061822872272000516161429772709735446726371095413389669631126774892478781638796924274452669261067996822246832063504667384781937434063872816505919853560037228788378284364734082934073872692578160784156159457<263>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	904	Makoto Kamada	January 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
40	3e6	2350	Ignacio Santos	January 15, 2022 22:08:23 UTC 2022 年 1 月 16 日 (日) 7 時 8 分 23 秒 (日本時間)
45	11e6	4000	Thomas Kozlowski	January 11, 2025 06:14:07 UTC 2025 年 1 月 11 日 (土) 15 時 14 分 7 秒 (日本時間)

172×10²⁸⁸-19

c279

composite cofactor 合成数の残り

243870860122736619026486612886188769310838056536234618641167202836023406941252519406197264388970384091158702540174777291723869323114106867551706874546205579350806052184570459372597670200728009223088138921724681996113992272763559899859907779404261307504215354751728172302250328803<279>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	904	Makoto Kamada	January 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
40	3e6	2350	Ignacio Santos	January 15, 2022 22:08:51 UTC 2022 年 1 月 16 日 (日) 7 時 8 分 51 秒 (日本時間)
45	11e6	4000	Thomas Kozlowski	January 11, 2025 08:22:06 UTC 2025 年 1 月 11 日 (土) 17 時 22 分 6 秒 (日本時間)

172×10²⁸⁹-19

c291

composite cofactor 合成数の残り

191111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<291>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	January 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
40	3e6	600		Dmitry Domanov	January 18, 2016 21:05:26 UTC 2016 年 1 月 19 日 (火) 6 時 5 分 26 秒 (日本時間)
45	11e6	800		Dmitry Domanov	January 19, 2016 14:09:10 UTC 2016 年 1 月 19 日 (火) 23 時 9 分 10 秒 (日本時間)
50	43e6	3800	600	Dmitry Domanov	February 6, 2016 15:51:34 UTC 2016 年 2 月 7 日 (日) 0 時 51 分 34 秒 (日本時間)
50	43e6	3800	3200	Dmitry Domanov	August 19, 2016 14:35:15 UTC 2016 年 8 月 19 日 (金) 23 時 35 分 15 秒 (日本時間)
55	11e7	1480 / 16358	200	Dmitry Domanov	February 11, 2016 12:14:13 UTC 2016 年 2 月 11 日 (木) 21 時 14 分 13 秒 (日本時間)
55	11e7	1480 / 16358	1280	Dmitry Domanov	September 9, 2016 16:53:03 UTC 2016 年 9 月 10 日 (土) 1 時 53 分 3 秒 (日本時間)

172×10²⁹⁰-19

c238

composite cofactor 合成数の残り

3394927856603783261681757698336253924339181826405030098624126318909622673232185956157298359710214966631512080572088862879535689377918041798243704417630767019676586597322048622993964773518457450275633800091960486543180029290059432614332637<238>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	904	Makoto Kamada	January 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
40	3e6	2350	Ignacio Santos	January 15, 2022 22:31:56 UTC 2022 年 1 月 16 日 (日) 7 時 31 分 56 秒 (日本時間)
45	11e6	4001	Thomas Kozlowski	January 11, 2025 10:04:56 UTC 2025 年 1 月 11 日 (土) 19 時 4 分 56 秒 (日本時間)

172×10²⁹¹-19

c282

name 名前	Ignacio Santos
date 日付	January 15, 2022 22:32:43 UTC 2022 年 1 月 16 日 (日) 7 時 32 分 43 秒 (日本時間)
composite number 合成数	285062795864275478633058933256821814660753757649546849774990443544763094372601552235252701680280705192981585209309322799538820800777533147925921028957008858547800694364401659922037237273809987672216874018483557729713085298836725366986842902574050140261673839255418835918299254295843<282>
prime factors 素因数	5729222629840081324211590377865919518915597<43>
composite cofactor 合成数の残り	49755929256362722450595055429789207357141295167218935709133851518028758346268079788828835664113990775696630904967607114812823663225526003699794620892245539158974677686413178650806351767868014641467707490071284755910739299706657827599233519<239>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1327297102 Step 1 took 17375ms Step 2 took 6282ms ********** Factor found in step 2: 5729222629840081324211590377865919518915597 Found prime factor of 43 digits: 5729222629840081324211590377865919518915597 Composite cofactor 49755929256362722450595055429789207357141295167218935709133851518028758346268079788828835664113990775696630904967607114812823663225526003699794620892245539158974677686413178650806351767868014641467707490071284755910739299706657827599233519 has 239 digits
software ソフトウェア	GMP-ECM

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	904	Makoto Kamada	January 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
40	3e6	2350	Ignacio Santos	January 16, 2022 20:17:05 UTC 2022 年 1 月 17 日 (月) 5 時 17 分 5 秒 (日本時間)
45	11e6	4002	Thomas Kozlowski	January 11, 2025 11:48:22 UTC 2025 年 1 月 11 日 (土) 20 時 48 分 22 秒 (日本時間)

172×10²⁹²-19

c208

name 名前	KTakahashi
date 日付	January 18, 2016 13:35:49 UTC 2016 年 1 月 18 日 (月) 22 時 35 分 49 秒 (日本時間)
composite number 合成数	2166157853573019411584865616395622110478178182587718540563769180299501347075423509802690157494984615231841383195193481809096498943586602285251280112611044248210067080081315624788208296588375660480772713899217<208>
prime factors 素因数	1445430267897510184133502685671023117<37> 31608481468738425086803096311821567317<38> 47412114529779811342355241990785376239649573717692991375878762367671225521689514045003811833505703555804744669062617368544734173191553<134>
factorization results 素因数分解の結果	Input number is 2166157853573019411584865616395622110478178182587718540563769180299501347075423509802690157494984615231841383195193481809096498943586602285251280112611044248210067080081315624788208296588375660480772713899217 (208 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1532610708 Step 1 took 6084ms Step 2 took 3229ms ******** Factor found in step 2: 1445430267897510184133502685671023117 Found probable prime factor of 37 digits: 1445430267897510184133502685671023117 Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1770675574 Step 1 took 4477ms Step 2 took 2637ms ******** Factor found in step 2: 31608481468738425086803096311821567317 Found probable prime factor of 38 digits: 31608481468738425086803096311821567317 Probable prime cofactor has 134 digits
software ソフトウェア	GMP-ECM 6.4.4

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	January 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)

172×10²⁹³-19

c220

composite cofactor 合成数の残り

1845885460572683019951764513667224418047325441990080705061606265824915609677559912870992930318137305939760145482458230065835252099247901855331929356158716378531486834065342250433721036030215944326706875253912678111879357<220>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	January 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
40	3e6	2950	600	Dmitry Domanov	January 19, 2016 07:22:34 UTC 2016 年 1 月 19 日 (火) 16 時 22 分 34 秒 (日本時間)
40	3e6	2950	2350	Ignacio Santos	January 15, 2022 22:39:12 UTC 2022 年 1 月 16 日 (日) 7 時 39 分 12 秒 (日本時間)
45	11e6	3802		Thomas Kozlowski	January 11, 2025 13:13:54 UTC 2025 年 1 月 11 日 (土) 22 時 13 分 54 秒 (日本時間)

172×10²⁹⁶-19

c265

name 名前	Ignacio Santos
date 日付	January 15, 2022 22:39:50 UTC 2022 年 1 月 16 日 (日) 7 時 39 分 50 秒 (日本時間)
composite number 合成数	1576069232741506842792486042233748583076231269910456430935240130380478133365702498208767274883802468453298743599333596307648768095907677052758481683574453202692797691257763241465651783409303701384410947210749036695708814876771994590259851919225165935131606733998993<265>
prime factors 素因数	2382259737517472119522147251209935005233<40> 661585807760791044509324066351159514103603285213719090221067631852084659582290879250891559136312674596163897554763360828544536102808648300945345104067282599850153027771974370521368568769890258197194365442462123618119849722721<225>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4176579930 Step 1 took 15282ms Step 2 took 5828ms ********** Factor found in step 2: 2382259737517472119522147251209935005233 Found prime factor of 40 digits: 2382259737517472119522147251209935005233 Prime cofactor 661585807760791044509324066351159514103603285213719090221067631852084659582290879250891559136312674596163897554763360828544536102808648300945345104067282599850153027771974370521368568769890258197194365442462123618119849722721 has 225 digits
software ソフトウェア	GMP-ECM

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	January 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)

172×10²⁹⁷-19

c244

composite cofactor 合成数の残り

3501696556773626226286354162081165653298632231025748039086593353644849670296925560989260809126951544180779922219005227935353588413089809887021544062199226474816351262397281040186990127359955666046560875198514700688455509033723636171066010588677<244>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	904		Makoto Kamada	January 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
40	3e6	2352		ivelive	August 20, 2020 01:39:56 UTC 2020 年 8 月 20 日 (木) 10 時 39 分 56 秒 (日本時間)
45	11e6	4101	1296	ivelive	August 20, 2020 05:53:32 UTC 2020 年 8 月 20 日 (木) 14 時 53 分 32 秒 (日本時間)
45	11e6	4101	2805	Thomas Kozlowski	January 11, 2025 14:26:18 UTC 2025 年 1 月 11 日 (土) 23 時 26 分 18 秒 (日本時間)

172×10²⁹⁸-19

c202

name 名前	Dmitry Domanov
date 日付	January 19, 2016 08:46:58 UTC 2016 年 1 月 19 日 (火) 17 時 46 分 58 秒 (日本時間)
composite number 合成数	1235157716209186429654644149427667075950235702588014274139506643401038665005872788792673279118768471160083253795318884125078159797092159590046813371001727759778234254837186520716036191529092516934178691<202>
prime factors 素因数	680696963025878038507996116385099052449<39> 1814548592546356742452660795666461917136886362281476474924845266830887316444106179264234014518363094922661171225607976437687202782285534861277663444806869308125859<163>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3308609611 Step 1 took 79198ms Step 2 took 27349ms ********** Factor found in step 2: 680696963025878038507996116385099052449 Found probable prime factor of 39 digits: 680696963025878038507996116385099052449

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	904	Makoto Kamada	January 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
40	3e6	600	Dmitry Domanov	January 18, 2016 14:29:54 UTC 2016 年 1 月 18 日 (月) 23 時 29 分 54 秒 (日本時間)
45	11e6	600 / 4306	Dmitry Domanov	January 19, 2016 06:24:43 UTC 2016 年 1 月 19 日 (火) 15 時 24 分 43 秒 (日本時間)

172×10³⁰⁰-19

c276

name 名前	Dmitry Domanov
date 日付	January 23, 2016 11:27:27 UTC 2016 年 1 月 23 日 (土) 20 時 27 分 27 秒 (日本時間)
composite number 合成数	104362535755932040041083256643695468263773346786248104256397412718626627284851017407665612637006351338996356667688190255914494012990918321783451444577317385163157031363539205001006002133754998871516665766681148509326352655243153895509388845554607868274126445319000852771070683<276>
prime factors 素因数	1485986143876622888213243542147825900654693618253<49> 70231163450604124976983907984052547572276838346083392803441823790785361848937361236908494112865665208447260981117123195473585033391720897175474201585504678292310196526000032983909406180474154327786727270800319449742002239098311<227>
factorization results 素因数分解の結果	Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=3978990242 Step 1 took 2229766ms Step 2 took 387729ms ********** Factor found in step 2: 1485986143876622888213243542147825900654693618253 Found probable prime factor of 49 digits: 1485986143876622888213243542147825900654693618253

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	904	Makoto Kamada	January 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
40	3e6	1200	Dmitry Domanov	January 19, 2016 09:29:35 UTC 2016 年 1 月 19 日 (火) 18 時 29 分 35 秒 (日本時間)
45	11e6	1200	Dmitry Domanov	January 19, 2016 14:07:02 UTC 2016 年 1 月 19 日 (火) 23 時 7 分 2 秒 (日本時間)
50	43e6	600 / 6944	Dmitry Domanov	January 20, 2016 13:22:10 UTC 2016 年 1 月 20 日 (水) 22 時 22 分 10 秒 (日本時間)
55	11e7	120 / 17470	Dmitry Domanov	January 22, 2016 14:28:21 UTC 2016 年 1 月 22 日 (金) 23 時 28 分 21 秒 (日本時間)