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
- 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