Table of contents 目次

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B1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 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B1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 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B1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 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B1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 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B1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 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B1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 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B1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 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B1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 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B1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 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B1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 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B1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 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B1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 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B1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 10, 2014 16:36:53 UTC 2014 年 12 月 11 日 (木) 1 時 36 分 53 秒 (日本時間)
403e6410 / 2126110Ignacio SantosDecember 10, 2014 16:36:53 UTC 2014 年 12 月 11 日 (木) 1 時 36 分 53 秒 (日本時間)
300Serge BatalovDecember 10, 2014 19:49:21 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 21 秒 (日本時間)
4511e632 / 4371Ignacio SantosDecember 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B1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 10, 2014 17:50:35 UTC 2014 年 12 月 11 日 (木) 2 時 50 分 35 秒 (日本時間)
403e6410 / 2126110Ignacio SantosDecember 10, 2014 17:50:35 UTC 2014 年 12 月 11 日 (木) 2 時 50 分 35 秒 (日本時間)
300Serge BatalovDecember 10, 2014 19:49:21 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 21 秒 (日本時間)
4511e632 / 4371Ignacio SantosDecember 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B1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 10, 2014 18:25:15 UTC 2014 年 12 月 11 日 (木) 3 時 25 分 15 秒 (日本時間)
403e6410 / 2126110Ignacio SantosDecember 10, 2014 18:25:15 UTC 2014 年 12 月 11 日 (木) 3 時 25 分 15 秒 (日本時間)
300Serge BatalovDecember 10, 2014 19:49:22 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 22 秒 (日本時間)
4511e632 / 4371Ignacio SantosDecember 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B1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 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B1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 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B1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e60 / 237--
4511e6603 / 4475Pierre JammesDecember 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B1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 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B1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 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B1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 8, 2014 17:06:13 UTC 2014 年 12 月 9 日 (火) 2 時 6 分 13 秒 (日本時間)
403e6110 / 2126Ignacio SantosDecember 8, 2014 17:06:13 UTC 2014 年 12 月 9 日 (火) 2 時 6 分 13 秒 (日本時間)
4511e632 / 4437Ignacio SantosDecember 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B1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:24 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 24 秒 (日本時間)
4511e6590 / 4409Pierre JammesDecember 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B1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 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B1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 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B1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 8, 2014 22:33:32 UTC 2014 年 12 月 9 日 (火) 7 時 33 分 32 秒 (日本時間)
403e6110 / 2126Ignacio SantosDecember 8, 2014 22:33:32 UTC 2014 年 12 月 9 日 (火) 7 時 33 分 32 秒 (日本時間)
4511e632 / 4437Ignacio SantosDecember 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B1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 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B1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovDecember 10, 2014 19:49:26 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 26 秒 (日本時間)
2350Ignacio SantosFebruary 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B1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62318300Serge BatalovDecember 10, 2014 19:49:26 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 26 秒 (日本時間)
2018Justin CardFebruary 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B1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovDecember 10, 2014 19:49:26 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 26 秒 (日本時間)
2350Ignacio SantosFebruary 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B1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 259Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6230 / 2318CypDecember 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B1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:49:27 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 27 秒 (日本時間)

172×10176-19

c135

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 281Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6222 / 2318CypDecember 7, 2014 12:40:33 UTC 2014 年 12 月 7 日 (日) 21 時 40 分 33 秒 (日本時間)

172×10179-19

c168

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

c135

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:27 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 27 秒 (日本時間)
4511e6585 / 4409CypMay 13, 2015 06:13:12 UTC 2015 年 5 月 13 日 (水) 15 時 13 分 12 秒 (日本時間)

172×10180-19

c151

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 447Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6163 / 2318CypDecember 7, 2014 16:30:05 UTC 2014 年 12 月 8 日 (月) 1 時 30 分 5 秒 (日本時間)

172×10181-19

c160

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 7, 2014 22:00:56 UTC 2014 年 12 月 8 日 (月) 7 時 0 分 56 秒 (日本時間)
4511e6600 / 4413KTakahashiMay 22, 2015 11:14:59 UTC 2015 年 5 月 22 日 (金) 20 時 14 分 59 秒 (日本時間)

172×10182-19

c177

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:28 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 28 秒 (日本時間)
4511e6600 / 4409KTakahashiMay 27, 2015 15:19:02 UTC 2015 年 5 月 28 日 (木) 0 時 19 分 2 秒 (日本時間)

172×10183-19

c158

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 7, 2014 16:08:43 UTC 2014 年 12 月 8 日 (月) 1 時 8 分 43 秒 (日本時間)
4511e6591 / 4413CypFebruary 10, 2015 03:46:33 UTC 2015 年 2 月 10 日 (火) 12 時 46 分 33 秒 (日本時間)

172×10184-19

c181

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280 / 2318CypDecember 9, 2014 01:58:19 UTC 2014 年 12 月 9 日 (火) 10 時 58 分 19 秒 (日本時間)

172×10185-19

c186

name 名前Robert Backstrom
date 日付December 22, 2014 11:46:31 UTC 2014 年 12 月 22 日 (月) 20 時 46 分 31 秒 (日本時間)
composite number 合成数
637037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037<186>
prime factors 素因数
2560574042762021318576804096636898756129778923600773036153029687<64>
248786805770272737639297895969285659309916210659533845503190206480011325273070816804537768267014033268049001427130506829051<123>
factorization results 素因数分解の結果
Number: n
N=637037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037
  ( 186 digits)
SNFS difficulty: 187 digits.
Divisors found:

Mon Dec 22 22:12:01 2014  prp64 factor: 2560574042762021318576804096636898756129778923600773036153029687
Mon Dec 22 22:12:01 2014  prp123 factor: 248786805770272737639297895969285659309916210659533845503190206480011325273070816804537768267014033268049001427130506829051
Mon Dec 22 22:12:01 2014  elapsed time 00:40:34 (Msieve 1.44 - dependency 3)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.320).
Factorization parameters were as follows:
#
#  N = 172*10^185-1 191(185)
#
n: 637037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037
m: 10000000000000000000000000000000000000
deg: 5
c5: 172
c0: -1
skew: 0.36
# Murphy_E = 5.523e-11
type: snfs
lss: 1
rlim: 9200000
alim: 9200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9200000/9200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 10200000)
Primes: RFBsize:614917, AFBsize:615120,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4013140 hash collisions in 34828189 relations (32121840 unique)
Msieve: matrix is 981718 x 981946 (276.7 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0hrs 29min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 27sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9200000,9200000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.038684] smpboot: CPU0: Intel(R) Core(TM) i7-4790 CPU @ 3.60GHz (fam: 06, model: 3c, stepping: 03)
[    0.000000] Memory: 16059644K/16661464K available (7373K kernel code, 1159K rwdata, 3228K rodata, 1468K init, 1504K bss, 601820K reserved)
[    1.137325] [drm] Memory usable by graphics device = 2048M
[    0.000027] Calibrating delay loop (skipped), value calculated using timer frequency.. 7200.13 BogoMIPS (lpj=3600065)
[    0.136532] smpboot: Total of 8 processors activated (57601.04 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 8, 2014 19:27:37 UTC 2014 年 12 月 9 日 (火) 4 時 27 分 37 秒 (日本時間)

172×10187-19

c152

name 名前Jo Yeong Uk
date 日付December 8, 2016 07:13:29 UTC 2016 年 12 月 8 日 (木) 16 時 13 分 29 秒 (日本時間)
composite number 合成数
10394084315260656342126840224902712486336780003939791575649946184660233370676342770535167948508885980530912584451584305887588645646887204146040108341691<152>
prime factors 素因数
165808065101263111768752489905727443025112942616445240289<57>
62687447133001222688413706410130362096077080170729562706281654679071524810193476081577955905819<95>
factorization results 素因数分解の結果
Number: 19111_187
N=10394084315260656342126840224902712486336780003939791575649946184660233370676342770535167948508885980530912584451584305887588645646887204146040108341691
  ( 152 digits)
SNFS difficulty: 189 digits.
Divisors found:
 r1=165808065101263111768752489905727443025112942616445240289
 r2=62687447133001222688413706410130362096077080170729562706281654679071524810193476081577955905819
Version: 
Total time: 95.56 hours.
Scaled time: 499.11 units (timescale=5.223).
Factorization parameters were as follows:
n: 10394084315260656342126840224902712486336780003939791575649946184660233370676342770535167948508885980530912584451584305887588645646887204146040108341691
m: 20000000000000000000000000000000000000
deg: 5
c5: 1075
c0: -2
skew: 0.28
# Murphy_E = 3.958e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 8500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20699533
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1826413 x 1826660
Total sieving time: 88.44 hours.
Total relation processing time: 2.31 hours.
Matrix solve time: 4.66 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 95.56 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:28 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 28 秒 (日本時間)
4511e6585 / 4409CypJuly 27, 2015 21:54:57 UTC 2015 年 7 月 28 日 (火) 6 時 54 分 57 秒 (日本時間)

172×10192-19

c169

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

c95

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:29 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 29 秒 (日本時間)
4511e6585 / 4409CypMay 16, 2015 13:53:01 UTC 2015 年 5 月 16 日 (土) 22 時 53 分 1 秒 (日本時間)

172×10194-19

c137

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62600280CypDecember 7, 2014 02:50:31 UTC 2014 年 12 月 7 日 (日) 11 時 50 分 31 秒 (日本時間)
2320Serge BatalovDecember 9, 2014 19:25:54 UTC 2014 年 12 月 10 日 (水) 4 時 25 分 54 秒 (日本時間)

172×10195-19

c195

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

prp72 factor: 686057278861320728879577468435055740788779985815293745154188095313704499
prp124 factor: 1211149418566400174124812415431741048408056398112356930455021985527379746988186079683978629014932252454406200624600421540843

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:57:35 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 35 秒 (日本時間)

172×10196-19

c150

name 名前Jo Yeong Uk
date 日付November 27, 2017 10:29:50 UTC 2017 年 11 月 27 日 (月) 19 時 29 分 50 秒 (日本時間)
composite number 合成数
131490423791972621014177447739776803287282963189494449305227445347185430835600436348434034379700195933097350792846999312871767852247897180468418093973<150>
prime factors 素因数
772229889081778359199668988354255760270382114749280009928479119633332303<72>
170273678409834145876901054157912495042888973626978515925427583328476536604891<78>
factorization results 素因数分解の結果
Number: 19111_196
N=131490423791972621014177447739776803287282963189494449305227445347185430835600436348434034379700195933097350792846999312871767852247897180468418093973
  ( 150 digits)
SNFS difficulty: 198 digits.
Divisors found:
 r1=772229889081778359199668988354255760270382114749280009928479119633332303
 r2=170273678409834145876901054157912495042888973626978515925427583328476536604891
Version: 
Total time: 184.91 hours.
Scaled time: 969.12 units (timescale=5.241).
Factorization parameters were as follows:
n: 131490423791972621014177447739776803287282963189494449305227445347185430835600436348434034379700195933097350792846999312871767852247897180468418093973
m: 2000000000000000000000000000000000000000
deg: 5
c5: 215
c0: -4
skew: 0.45
# Murphy_E = 1.74e-11
type: snfs
lss: 1
rlim: 13000000
alim: 13000000
lpbr: 29
lpba: 29
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13000000/13000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 55/55
Sieved rational special-q in [6500000, 13900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 34477689
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2736806 x 2737054
Total sieving time: 165.50 hours.
Total relation processing time: 6.57 hours.
Matrix solve time: 12.65 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,13000000,13000000,29,29,55,55,2.5,2.5,100000
total time: 184.91 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367800k/51380224k available (5468k kernel code, 1086464k absent, 925960k reserved, 6953k data, 1316k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.02 BogoMIPS (lpj=3400013)
Total of 12 processors activated (81600.31 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 7, 2014 01:55:12 UTC 2014 年 12 月 7 日 (日) 10 時 55 分 12 秒 (日本時間)
4511e6591 / 4413CypMay 14, 2015 16:24:33 UTC 2015 年 5 月 15 日 (金) 1 時 24 分 33 秒 (日本時間)

172×10198-19

c124

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:57:19 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 19 秒 (日本時間)

172×10199-19

c177

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6580280CypDecember 10, 2014 15:32:31 UTC 2014 年 12 月 11 日 (木) 0 時 32 分 31 秒 (日本時間)
300Serge BatalovDecember 10, 2014 19:49:29 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 29 秒 (日本時間)
4511e6504 / 4347CypJune 3, 2015 05:21:58 UTC 2015 年 6 月 3 日 (水) 14 時 21 分 58 秒 (日本時間)

172×10200-19

c162

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

c132

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:29 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 29 秒 (日本時間)
4511e61000 / 4409Serge BatalovDecember 18, 2014 00:18:24 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 24 秒 (日本時間)

172×10204-19

c173

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:49:30 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 30 秒 (日本時間)

172×10206-19

c153

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

c119

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 6, 2014 17:09:51 UTC 2014 年 12 月 7 日 (日) 2 時 9 分 51 秒 (日本時間)
4511e6591 / 4413CypJuly 27, 2015 20:27:37 UTC 2015 年 7 月 28 日 (火) 5 時 27 分 37 秒 (日本時間)

172×10208-19

c190

composite cofactor 合成数の残り
1293330358536703858555017662803134630243467026286385741472778417641309071075981352090988484601003339581036944904606651784014916598765757145965508870804957171962164429160066544929161691410813<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 7, 2014 07:52:11 UTC 2014 年 12 月 7 日 (日) 16 時 52 分 11 秒 (日本時間)
4511e6591 / 4413CypJanuary 31, 2015 08:13:38 UTC 2015 年 1 月 31 日 (土) 17 時 13 分 38 秒 (日本時間)

172×10209-19

c169

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:49:30 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 30 秒 (日本時間)

172×10210-19

c162

composite cofactor 合成数の残り
109334184261178390075635609415590623604162662789460431548572608231170058290285509473264862697801175047677297643552715679659831395036752609259300147703801274608069<162>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 9, 2014 16:05:20 UTC 2014 年 12 月 10 日 (水) 1 時 5 分 20 秒 (日本時間)
4511e6591 / 4413CypJuly 27, 2015 23:06:22 UTC 2015 年 7 月 28 日 (火) 8 時 6 分 22 秒 (日本時間)

172×10211-19

c163

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

c129

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:31 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 31 秒 (日本時間)
4511e61000 / 4409Serge BatalovDecember 18, 2014 00:18:22 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 22 秒 (日本時間)

172×10213-19

c202

composite cofactor 合成数の残り
1840579587052121261659042050899561997916022896604962136914633326803710923007423899367894214018922455015908334648860145268218987576615476996443491669185090246676420037502779180137934457396885365161995103<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:31 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 31 秒 (日本時間)
4511e6585 / 4409CypJuly 28, 2015 02:28:33 UTC 2015 年 7 月 28 日 (火) 11 時 28 分 33 秒 (日本時間)

172×10214-19

c180

composite cofactor 合成数の残り
128676110347014073211527440864071934228769420545172138709359304776932218989450357899854194077626835375164244835011618024501645364548489294473573978755700958485439857615411227893199<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 6, 2014 21:08:16 UTC 2014 年 12 月 7 日 (日) 6 時 8 分 16 秒 (日本時間)
4511e6591 / 4413CypJuly 28, 2015 00:22:45 UTC 2015 年 7 月 28 日 (火) 9 時 22 分 45 秒 (日本時間)

172×10215-19

c196

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 483Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6150 / 2318CypDecember 8, 2014 05:31:10 UTC 2014 年 12 月 8 日 (月) 14 時 31 分 10 秒 (日本時間)

172×10218-19

c180

composite cofactor 合成数の残り
546770733430937734280137702875435321958848756000841162123329618330777516739454281515367861145063776466534369893593299651019611987160594223371735601193094271043309888136272361301241<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6580280CypDecember 10, 2014 16:52:11 UTC 2014 年 12 月 11 日 (木) 1 時 52 分 11 秒 (日本時間)
300Serge BatalovDecember 10, 2014 19:49:32 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 32 秒 (日本時間)
4511e6504 / 4347CypMay 24, 2015 12:11:44 UTC 2015 年 5 月 24 日 (日) 21 時 11 分 44 秒 (日本時間)

172×10219-19

c197

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280 / 2208CypDecember 7, 2014 06:40:49 UTC 2014 年 12 月 7 日 (日) 15 時 40 分 49 秒 (日本時間)
4511e632 / 4413CypJuly 27, 2015 11:51:50 UTC 2015 年 7 月 27 日 (月) 20 時 51 分 50 秒 (日本時間)

172×10221-19

c208

composite cofactor 合成数の残り
2215749302684414449158143888265778344827294134843329378797719168445215652130427609948046158956426193327794131934000315977255135503527533095859571334758240786279783729386186062188334547386216421881567199122057<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 8, 2014 08:07:48 UTC 2014 年 12 月 8 日 (月) 17 時 7 分 48 秒 (日本時間)
4511e6591 / 4413335CypJanuary 1, 2015 15:21:05 UTC 2015 年 1 月 2 日 (金) 0 時 21 分 5 秒 (日本時間)
256CypJuly 27, 2015 12:22:15 UTC 2015 年 7 月 27 日 (月) 21 時 22 分 15 秒 (日本時間)

172×10222-19

c220

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:57:47 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 47 秒 (日本時間)
4511e61000 / 3962Serge BatalovDecember 18, 2014 00:18:40 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 40 秒 (日本時間)

172×10223-19

c208

composite cofactor 合成数の残り
8434345484953423372453464591772649759065206035585630557614306304714389183920357603391172228633562559614723841115793857637783884765269259596410902439175190511305607357364415130278041716324201773506674960617739<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 10, 2014 06:36:09 UTC 2014 年 12 月 10 日 (水) 15 時 36 分 9 秒 (日本時間)
4511e6591 / 4413CypJuly 6, 2015 06:50:31 UTC 2015 年 7 月 6 日 (月) 15 時 50 分 31 秒 (日本時間)

172×10224-19

c210

composite cofactor 合成数の残り
410196908956137715614342702364218978080789755248160476193247639379277416814574023700021539857744445251416093492070151613702868836338581516629894841443098962533470288404124169560471616743207439446021092504365413<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:32 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 32 秒 (日本時間)
4511e6585 / 4409CypJuly 27, 2015 18:57:18 UTC 2015 年 7 月 28 日 (火) 3 時 57 分 18 秒 (日本時間)

172×10225-19

c200

composite cofactor 合成数の残り
34407007708327420405332705118127477600798939116820237153904201646908670905165551459253620769327006699707323441466909358480322137775207289083944344704635150437698513677018036456401507059956161574013913<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:32 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 32 秒 (日本時間)
4511e6585 / 4409CypJuly 27, 2015 17:33:12 UTC 2015 年 7 月 28 日 (火) 2 時 33 分 12 秒 (日本時間)

172×10226-19

c173

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

c141

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:33 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 33 秒 (日本時間)
4511e61400 / 33561000Serge BatalovDecember 18, 2014 00:18:27 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 27 秒 (日本時間)
400Dmitry DomanovFebruary 29, 2016 06:34:48 UTC 2016 年 2 月 29 日 (月) 15 時 34 分 48 秒 (日本時間)
5043e6300 / 7227Rich DickersonJune 7, 2016 23:23:54 UTC 2016 年 6 月 8 日 (水) 8 時 23 分 54 秒 (日本時間)

172×10227-19

c210

composite cofactor 合成数の残り
913817462230769937944920806236890203754439507298948207894887755077924456345614804956362674231233970188554778497067883355807392068958658792886388103208448399201622070757217840963427952731184856742405599685338059<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:33 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 33 秒 (日本時間)
4511e6585 / 4409CypJanuary 31, 2015 01:04:59 UTC 2015 年 1 月 31 日 (土) 10 時 4 分 59 秒 (日本時間)

172×10228-19

c187

composite cofactor 合成数の残り
2579560675307103126302671020246311077117830221725276880578479174339451021243185093720348502016196711877910247347515285039821106834485561334822167116665571586742244847720486611328384617231<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 6, 2014 17:40:11 UTC 2014 年 12 月 7 日 (日) 2 時 40 分 11 秒 (日本時間)
4511e6591 / 4413335CypJanuary 7, 2015 06:12:43 UTC 2015 年 1 月 7 日 (水) 15 時 12 分 43 秒 (日本時間)
256CypMay 19, 2015 12:56:26 UTC 2015 年 5 月 19 日 (火) 21 時 56 分 26 秒 (日本時間)

172×10229-19

c203

composite cofactor 合成数の残り
66008770112991923761608656214422269799292098607861037645008643924958402999761985251537085019133435038316617078790227108117995853693433532926918489863939619788338472280588058581252650967989806247709394803<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:34 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 34 秒 (日本時間)
4511e6585 / 4409329CypJanuary 6, 2015 22:48:46 UTC 2015 年 1 月 7 日 (水) 7 時 48 分 46 秒 (日本時間)
256CypJune 23, 2015 12:45:19 UTC 2015 年 6 月 23 日 (火) 21 時 45 分 19 秒 (日本時間)

172×10232-19

c230

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:57:53 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 53 秒 (日本時間)
4511e61000 / 3962Serge BatalovDecember 18, 2014 00:18:53 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 53 秒 (日本時間)

172×10233-19

c170

composite cofactor 合成数の残り
35800930662286641830239103542002753970197507205059292468664412719809239115789457456983179342727083682264122543437501038320767022535737706240785274095820821060782783273921<170>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 9, 2014 22:09:12 UTC 2014 年 12 月 10 日 (水) 7 時 9 分 12 秒 (日本時間)
4511e6591 / 4413CypJuly 27, 2015 11:27:20 UTC 2015 年 7 月 27 日 (月) 20 時 27 分 20 秒 (日本時間)

172×10236-19

c192

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

c160

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:34 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 34 秒 (日本時間)
4511e61000 / 4409Serge BatalovDecember 18, 2014 00:18:29 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 29 秒 (日本時間)

172×10238-19

c240

composite cofactor 合成数の残り
191111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:57:56 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 56 秒 (日本時間)
4511e640001000Serge BatalovDecember 18, 2014 00:19:00 UTC 2014 年 12 月 18 日 (木) 9 時 19 分 0 秒 (日本時間)
1000Serge BatalovDecember 18, 2014 01:48:49 UTC 2014 年 12 月 18 日 (木) 10 時 48 分 49 秒 (日本時間)
2000Serge BatalovDecember 20, 2014 04:02:06 UTC 2014 年 12 月 20 日 (土) 13 時 2 分 6 秒 (日本時間)
5043e6500 / 6567Serge BatalovJanuary 11, 2015 01:24:49 UTC 2015 年 1 月 11 日 (日) 10 時 24 分 49 秒 (日本時間)

172×10239-19

c211

composite cofactor 合成数の残り
5563153805442995718640107383211449547039839862037732263414960682967714710569675340819580733422047041771744692677337726646127956048080589848565207280495878198661876988348540854133231171896328520804173378402221069<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:34 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 34 秒 (日本時間)
4511e6585 / 440951CypJanuary 8, 2015 17:40:08 UTC 2015 年 1 月 9 日 (金) 2 時 40 分 8 秒 (日本時間)
534CypJuly 27, 2015 13:50:24 UTC 2015 年 7 月 27 日 (月) 22 時 50 分 24 秒 (日本時間)

172×10240-19

c210

composite cofactor 合成数の残り
213192444307131683123259450045752367326885392393364337605696797089428651809900096650094481578717159763970241135102833803796278982040724629307715808921405456154967903725769769686459909759191511302731884664401581<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 8, 2014 14:56:43 UTC 2014 年 12 月 8 日 (月) 23 時 56 分 43 秒 (日本時間)
4511e6591 / 4413335CypJanuary 7, 2015 05:08:53 UTC 2015 年 1 月 7 日 (水) 14 時 8 分 53 秒 (日本時間)
256CypJuly 27, 2015 05:45:00 UTC 2015 年 7 月 27 日 (月) 14 時 45 分 0 秒 (日本時間)

172×10241-19

c224

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280 / 1597CypDecember 8, 2014 21:05:56 UTC 2014 年 12 月 9 日 (火) 6 時 5 分 56 秒 (日本時間)
4511e6209 / 4413CypJuly 27, 2015 02:34:32 UTC 2015 年 7 月 27 日 (月) 11 時 34 分 32 秒 (日本時間)

172×10243-19

c207

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:35 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 35 秒 (日本時間)
4511e6585 / 4409CypJune 6, 2015 07:01:19 UTC 2015 年 6 月 6 日 (土) 16 時 1 分 19 秒 (日本時間)

172×10244-19

c200

composite cofactor 合成数の残り
28606524185227263328782511854287224957720490100752659461111117419940240869937722951655030964161550097591321690633848127495015365300319358229244265507833266575839535730615649875015081093221919707055561<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:35 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 35 秒 (日本時間)
4511e6585 / 4409329CypJanuary 1, 2015 06:37:22 UTC 2015 年 1 月 1 日 (木) 15 時 37 分 22 秒 (日本時間)
256CypJune 21, 2015 16:15:25 UTC 2015 年 6 月 22 日 (月) 1 時 15 分 25 秒 (日本時間)

172×10245-19

c157

name 名前Lionel Debroux
date 日付December 20, 2017 16:54:02 UTC 2017 年 12 月 21 日 (木) 1 時 54 分 2 秒 (日本時間)
composite number 合成数
1505360188368625102466621201252969071867509240204909007068994858417463452965420939933690521622265624867140926479552369325566995111797319567842586576509638301<157>
prime factors 素因数
469699484469188369092523470698156209183432841691<48>
2056409299430626119339787248064988046539477171837<49>
1558514271728019205631138520328600109361976037252617197847603<61>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 1505360188368625102466621201252969071867509240204909007068994858417463452965420939933690521622265624867140926479552369325566995111797319567842586576509638301 (157 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:196784988
Step 1 took 18340ms
Step 2 took 8424ms
********** Factor found in step 2: 2056409299430626119339787248064988046539477171837
Found prime factor of 49 digits: 2056409299430626119339787248064988046539477171837
Composite cofactor 732033349968523178586526949574502128815261888595830891036762347368451259933414396376190319245230387042816673 has 108 digits

p48 factor: 469699484469188369092523470698156209183432841691
p61 factor: 1558514271728019205631138520328600109361976037252617197847603
software ソフトウェア
GMP-ECM, ggnfs-lasieve4I12e, msieve
execution environment 実行環境
Core i7-6700HQ @ 2.6 GHz (+ turbo), Debian sid amd64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:57:30 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 30 秒 (日本時間)
4511e64000800Dmitry DomanovMarch 1, 2016 13:09:38 UTC 2016 年 3 月 1 日 (火) 22 時 9 分 38 秒 (日本時間)
3200Lionel DebrouxDecember 19, 2017 12:33:30 UTC 2017 年 12 月 19 日 (火) 21 時 33 分 30 秒 (日本時間)

172×10246-19

c204

composite cofactor 合成数の残り
358572249591175806478331155805162561802814628436112507145672434587489940793147393621802816197049710491372565233312747621081355412289441593014207247662950069759157077186011192594916963211326691155261760639<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:36 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 36 秒 (日本時間)
4511e6585 / 4409CypJuly 27, 2015 11:18:04 UTC 2015 年 7 月 27 日 (月) 20 時 18 分 4 秒 (日本時間)

172×10247-19

c196

composite cofactor 合成数の残り
2526678871095262746573133691886714372364844922580627923361493766098615050784116069577033477759078845141548961042594010505728278318821813357999609575422045525786409347236704294100651147025619871779<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:49:36 UTC 2014 年 12 月 11 日 (木) 4 時 49 分 36 秒 (日本時間)
4511e6585 / 4409CypJuly 27, 2015 11:02:43 UTC 2015 年 7 月 27 日 (月) 20 時 2 分 43 秒 (日本時間)

172×10248-19

c218

composite cofactor 合成数の残り
16233177262589160990150082136927857034008496577704741725873519994601924478107105827171878335145685524532237625963243078872800042924758529582761172650578496348892716136352925979712282130949574695182080802116759105106749<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 9, 2014 00:37:11 UTC 2014 年 12 月 9 日 (火) 9 時 37 分 11 秒 (日本時間)
4511e6591 / 4413335CypJanuary 8, 2015 10:10:10 UTC 2015 年 1 月 8 日 (木) 19 時 10 分 10 秒 (日本時間)
256CypFebruary 10, 2015 00:21:25 UTC 2015 年 2 月 10 日 (火) 9 時 21 分 25 秒 (日本時間)

172×10249-19

c235

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 7, 2014 14:10:57 UTC 2014 年 12 月 7 日 (日) 23 時 10 分 57 秒 (日本時間)
4511e6591 / 4413CypJuly 27, 2015 12:05:01 UTC 2015 年 7 月 27 日 (月) 21 時 5 分 1 秒 (日本時間)

172×10253-19

c224

composite cofactor 合成数の残り
14199919804096533219992555303308880189366868937955605756525098444892949046016260432425177052443276686830607127913792977189285437990643236528670354307658067740649516796172198824561995131511541079091046770960464639153922706553<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovJanuary 19, 2016 07:25:55 UTC 2016 年 1 月 19 日 (火) 16 時 25 分 55 秒 (日本時間)

172×10254-19

c229

composite cofactor 合成数の残り
1298601488114298174435774680156926241456638541847894976067077787060772658423262660841318181525533007100285864595369931871416238779632697831536932226982411697079445730569239933195165985897719224059008429223776286822244632726750499<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovJanuary 19, 2016 07:25:41 UTC 2016 年 1 月 19 日 (火) 16 時 25 分 41 秒 (日本時間)

172×10255-19

c242

composite cofactor 合成数の残り
96951322359579870726682953674480184637237361241432985099129584584711795793385502450382454856928407086478285893309577952419399073338311826469856123632511771876423092669786370903426307199201614858604168128699100240935740994957072349212195574239<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)

172×10256-19

c258

composite cofactor 合成数の残り
191111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 18, 2016 21:17:07 UTC 2016 年 1 月 19 日 (火) 6 時 17 分 7 秒 (日本時間)
4511e61200Dmitry DomanovJanuary 20, 2016 08:13:17 UTC 2016 年 1 月 20 日 (水) 17 時 13 分 17 秒 (日本時間)
5043e65460600Dmitry DomanovFebruary 8, 2016 14:43:19 UTC 2016 年 2 月 8 日 (月) 23 時 43 分 19 秒 (日本時間)
300Dmitry DomanovFebruary 13, 2016 20:56:29 UTC 2016 年 2 月 14 日 (日) 5 時 56 分 29 秒 (日本時間)
2000Dmitry DomanovJanuary 2, 2017 01:31:46 UTC 2017 年 1 月 2 日 (月) 10 時 31 分 46 秒 (日本時間)
2560Dmitry DomanovFebruary 21, 2017 14:38:11 UTC 2017 年 2 月 21 日 (火) 23 時 38 分 11 秒 (日本時間)
5511e7750 / 15741Dmitry DomanovFebruary 25, 2017 16:35:00 UTC 2017 年 2 月 26 日 (日) 1 時 35 分 0 秒 (日本時間)

172×10257-19

c187

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 19, 2016 07:20:57 UTC 2016 年 1 月 19 日 (火) 16 時 20 分 57 秒 (日本時間)
4511e6480 / 4306Dmitry DomanovJanuary 10, 2017 08:59:07 UTC 2017 年 1 月 10 日 (火) 17 時 59 分 7 秒 (日本時間)

172×10258-19

c247

composite cofactor 合成数の残り
2568469660168881516112131829616151488729464401623361905446993324158832328897774256043656148393691103240506021878223483246157666118182991430281650500082561897276533666963597394060200822704970011734342741810672613998183814827645756875401255864103237<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)

172×10259-19

c202

composite cofactor 合成数の残り
8452033360990654583581083491979057525246855307367300350215609880093893096440775928693128990201775788790083736135008476570692445952551411243962953161288795095744412604325581704288572210426905723401558389<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovJanuary 19, 2016 07:21:11 UTC 2016 年 1 月 19 日 (火) 16 時 21 分 11 秒 (日本時間)

172×10260-19

c175

composite cofactor 合成数の残り
3163987920163194593898829563908840567086531832073287160240071289858200222064485982717925806883734237600677443717106808959243914421479257337186984376820474073279313130003518669<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 18, 2016 14:29:12 UTC 2016 年 1 月 18 日 (月) 23 時 29 分 12 秒 (日本時間)
4511e61400600Dmitry DomanovJanuary 19, 2016 06:40:28 UTC 2016 年 1 月 19 日 (火) 15 時 40 分 28 秒 (日本時間)
800Dmitry DomanovFebruary 10, 2016 13:35:04 UTC 2016 年 2 月 10 日 (水) 22 時 35 分 4 秒 (日本時間)
5043e6600 / 6922Dmitry DomanovFebruary 11, 2016 14:27:39 UTC 2016 年 2 月 11 日 (木) 23 時 27 分 39 秒 (日本時間)
5511e7120 / 17462Dmitry DomanovFebruary 28, 2016 19:22:09 UTC 2016 年 2 月 29 日 (月) 4 時 22 分 9 秒 (日本時間)

172×10261-19

c261

composite cofactor 合成数の残り
830917874396135265700483091787439613526570048309178743961352657004830917874396135265700483091787439613526570048309178743961352657004830917874396135265700483091787439613526570048309178743961352657004830917874396135265700483091787439613526570048309178743961352657<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 18, 2016 21:15:46 UTC 2016 年 1 月 19 日 (火) 6 時 15 分 46 秒 (日本時間)
4511e6800 / 4306Dmitry DomanovJanuary 19, 2016 14:10:27 UTC 2016 年 1 月 19 日 (火) 23 時 10 分 27 秒 (日本時間)

172×10262-19

c228

composite cofactor 合成数の残り
160443861328852058870772572039157921901992940839594510295239563398400847273232151518911633025449428832250317777704689714548501895845500088977565165208415533539727459626447812081264154438612458162087981743589353084670904199290629<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovJanuary 19, 2016 07:25:18 UTC 2016 年 1 月 19 日 (火) 16 時 25 分 18 秒 (日本時間)

172×10263-19

c246

composite cofactor 合成数の残り
111823258408194873356714143070738526147076272292954201786477372113113003829596081597712923960463024345498998673494826028450984971018636490528778634666666711194791865850912475279314743248777354720819215565887257406548401595569219881176864240115061<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)

172×10264-19

c175

composite cofactor 合成数の残り
1039030495604281330548983934008986494630181272584589173335421319228877106838465042031693047723845687302212703319445335439116818693459538676236903745295645075047377227776956099<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 18, 2016 14:28:55 UTC 2016 年 1 月 18 日 (月) 23 時 28 分 55 秒 (日本時間)
4511e61400600Dmitry DomanovJanuary 19, 2016 06:40:47 UTC 2016 年 1 月 19 日 (火) 15 時 40 分 47 秒 (日本時間)
800Dmitry DomanovFebruary 10, 2016 13:35:25 UTC 2016 年 2 月 10 日 (水) 22 時 35 分 25 秒 (日本時間)
5043e6600 / 6922Dmitry DomanovFebruary 11, 2016 14:28:03 UTC 2016 年 2 月 11 日 (木) 23 時 28 分 3 秒 (日本時間)
5511e7120 / 17462Dmitry DomanovFebruary 28, 2016 19:22:39 UTC 2016 年 2 月 29 日 (月) 4 時 22 分 39 秒 (日本時間)

172×10267-19

c234

composite cofactor 合成数の残り
558898258633121266351319107488763942044493605054780213173842683838482841974898611287369204966708168666556646609229021713300939862429776632861674039172346985818203492000169430571320923297109296394766641736705959324946935364996003277393<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)

172×10268-19

c259

composite cofactor 合成数の残り
1371776846075428203630982804887644137088946586924763039520410654825569234522103926130399371851323944566551363130916923794460516949569939455054856309125694457638938857340949494807434986385238218752564580205153147789051903631736420724978967909081568267144523363<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)

172×10269-19

c224

composite cofactor 合成数の残り
32634607711308342147334232165542967176118853337801953642108340965792781810914455593500514578269756220125971788627927726217249295843205176055649632150816689341984411648119575085737738086992151210891587754214009205504482433967<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovJanuary 19, 2016 07:23:39 UTC 2016 年 1 月 19 日 (火) 16 時 23 分 39 秒 (日本時間)

172×10270-19

c224

composite cofactor 合成数の残り
14911391271534699871994847718062416241790548324232820260604961180894694752875767210451567810663615720546345656874276102741233149876099305445709734124025072523938074026841711961116142388343104918827745584825187593413280735747<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovJanuary 19, 2016 07:23:25 UTC 2016 年 1 月 19 日 (火) 16 時 23 分 25 秒 (日本時間)

172×10271-19

c243

composite cofactor 合成数の残り
356861798616150153273495624717463114038505072437200545870650633572191443861181358117594766164383508458859198723256846691652412294030702209713779094417895949641511098463142849314040719763341436070503640988319162944090995425690196581439685447467<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)

172×10272-19

c271

composite cofactor 合成数の残り
7000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407000407<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 19, 2016 07:24:04 UTC 2016 年 1 月 19 日 (火) 16 時 24 分 4 秒 (日本時間)
4511e6800 / 4306Dmitry DomanovJanuary 19, 2016 14:09:52 UTC 2016 年 1 月 19 日 (火) 23 時 9 分 52 秒 (日本時間)

172×10273-19

c275

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 19, 2016 07:45:36 UTC 2016 年 1 月 19 日 (火) 16 時 45 分 36 秒 (日本時間)
4511e6800 / 2201Dmitry DomanovJanuary 19, 2016 14:10:07 UTC 2016 年 1 月 19 日 (火) 23 時 10 分 7 秒 (日本時間)
5043e6600 / 7346Dmitry DomanovFebruary 6, 2016 22:59:27 UTC 2016 年 2 月 7 日 (日) 7 時 59 分 27 秒 (日本時間)

172×10274-19

c208

composite cofactor 合成数の残り
7642957969605882762017253483700915318387735804053057147615897059057163174279766611618478590217045241547262853833445135334357271882181251686718429864375051300906478578881139934832296327100476827987774376151713<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovJanuary 19, 2016 07:21:44 UTC 2016 年 1 月 19 日 (火) 16 時 21 分 44 秒 (日本時間)

172×10275-19

c256

composite cofactor 合成数の残り
1903715480416286819178790717604069952543344603188148499616862540584859725113175802032483185630598221572311959658906387202635278993111356152696483976224422058997618928157331618308050401714067372927585728315903034928419374377130511219761328933457679929357207<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)

172×10276-19

c226

composite cofactor 合成数の残り
1136887108416406529035231731922208213596245853976367349014711982196598195600167678344402162461011202513248037345615703020782941631601872620465890602355939157576527062940818984097574061804786189310988649583360827428243391437307<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovJanuary 19, 2016 07:23:05 UTC 2016 年 1 月 19 日 (火) 16 時 23 分 5 秒 (日本時間)

172×10277-19

c234

composite cofactor 合成数の残り
138706003740540444313232932876213990742439586572040870280737574815825899895775060118674783132729226255203479806750703717369995365305252873015230055795719335926715065558251242463054280838809514056253646105627785577506968009784796225889<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)

172×10278-19

c231

composite cofactor 合成数の残り
114661496066384588001317856642150899896517879396569348834286385725812728435819751719833732953702117544045970895391333415688301635846741930527133247062333282741227273141147549377991241495544929604263678658531936455118958734046453467<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)

172×10279-19

c254

composite cofactor 合成数の残り
20170809206191621936953831420208796741919016106010767548094579916514708090817183655084185431571089681176960883320917599863278036680052613924179789235209505848923552175736139283656385767071167577669964391665474909191239287433922691487677143468963306076283<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)

172×10281-19

c271

composite cofactor 合成数の残り
1535521605186436394750381697914467749564133470895254734162074896305605135471148549664280850545482784169565257912439001675033693643998308968511739838278030919583494858693246294881054066947101508586392476193215259858653835591559495715025579743394300539697995017074384389899<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)

172×10282-19

c249

composite cofactor 合成数の残り
137892253159165038020547513573020042864357388487057818590845287906972420988658589181962252098384071872568831379924042229219242404605495481967552137567844217582299522798593002057641289145450974084078100209038632167768576616909650677063860412382351611<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)

172×10283-19

c271

composite cofactor 合成数の残り
1569262826700584284659056061940006488506463967221031700532696550896652749196419102926368262985601788118818735453691057863684448510261948448120514069650888410459880856038885844275023358738732753209398595449411083941146780131619315962256044845411104198535150734646182913169<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)

172×10285-19

c276

composite cofactor 合成数の残り
899205517412081168733143734803353597263681240788621117694609645607730585094609589061296181416979721320428365253996124091189780266300000786324380136442125784485791736490047631369153678250022862340796729837805906793886816804315024321090827529776767206828092558613891114402024823<276>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)

172×10286-19

c204

composite cofactor 合成数の残り
384022876312560766042173036796950754738489237043393701136384050047626287640964991210480604899250495399446777844281972369128226371782250334831590285697006544155724847748117521481119750859484433235723658303<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovJanuary 19, 2016 07:22:11 UTC 2016 年 1 月 19 日 (火) 16 時 22 分 11 秒 (日本時間)

172×10287-19

c263

composite cofactor 合成数の残り
50223031182725323919076249827057681245547039050919343243773061822872272000516161429772709735446726371095413389669631126774892478781638796924274452669261067996822246832063504667384781937434063872816505919853560037228788378284364734082934073872692578160784156159457<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)

172×10288-19

c279

composite cofactor 合成数の残り
243870860122736619026486612886188769310838056536234618641167202836023406941252519406197264388970384091158702540174777291723869323114106867551706874546205579350806052184570459372597670200728009223088138921724681996113992272763559899859907779404261307504215354751728172302250328803<279>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)

172×10289-19

c291

composite cofactor 合成数の残り
191111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<291>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 18, 2016 21:05:26 UTC 2016 年 1 月 19 日 (火) 6 時 5 分 26 秒 (日本時間)
4511e6800Dmitry DomanovJanuary 19, 2016 14:09:10 UTC 2016 年 1 月 19 日 (火) 23 時 9 分 10 秒 (日本時間)
5043e63800600Dmitry DomanovFebruary 6, 2016 15:51:34 UTC 2016 年 2 月 7 日 (日) 0 時 51 分 34 秒 (日本時間)
3200Dmitry DomanovAugust 19, 2016 14:35:15 UTC 2016 年 8 月 19 日 (金) 23 時 35 分 15 秒 (日本時間)
5511e71480 / 16358200Dmitry DomanovFebruary 11, 2016 12:14:13 UTC 2016 年 2 月 11 日 (木) 21 時 14 分 13 秒 (日本時間)
1280Dmitry DomanovSeptember 9, 2016 16:53:03 UTC 2016 年 9 月 10 日 (土) 1 時 53 分 3 秒 (日本時間)

172×10290-19

c238

composite cofactor 合成数の残り
3394927856603783261681757698336253924339181826405030098624126318909622673232185956157298359710214966631512080572088862879535689377918041798243704417630767019676586597322048622993964773518457450275633800091960486543180029290059432614332637<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)

172×10291-19

c282

composite cofactor 合成数の残り
285062795864275478633058933256821814660753757649546849774990443544763094372601552235252701680280705192981585209309322799538820800777533147925921028957008858547800694364401659922037237273809987672216874018483557729713085298836725366986842902574050140261673839255418835918299254295843<282>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)

172×10292-19

c208

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)

172×10293-19

c220

composite cofactor 合成数の残り
1845885460572683019951764513667224418047325441990080705061606265824915609677559912870992930318137305939760145482458230065835252099247901855331929356158716378531486834065342250433721036030215944326706875253912678111879357<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovJanuary 19, 2016 07:22:34 UTC 2016 年 1 月 19 日 (火) 16 時 22 分 34 秒 (日本時間)

172×10296-19

c265

composite cofactor 合成数の残り
1576069232741506842792486042233748583076231269910456430935240130380478133365702498208767274883802468453298743599333596307648768095907677052758481683574453202692797691257763241465651783409303701384410947210749036695708814876771994590259851919225165935131606733998993<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)

172×10297-19

c244

composite cofactor 合成数の残り
3501696556773626226286354162081165653298632231025748039086593353644849670296925560989260809126951544180779922219005227935353588413089809887021544062199226474816351262397281040186990127359955666046560875198514700688455509033723636171066010588677<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)

172×10298-19

c202

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 18, 2016 14:29:54 UTC 2016 年 1 月 18 日 (月) 23 時 29 分 54 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovJanuary 19, 2016 06:24:43 UTC 2016 年 1 月 19 日 (火) 15 時 24 分 43 秒 (日本時間)

172×10300-19

c276

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 18, 2016 13:00:00 UTC 2016 年 1 月 18 日 (月) 22 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovJanuary 19, 2016 09:29:35 UTC 2016 年 1 月 19 日 (火) 18 時 29 分 35 秒 (日本時間)
4511e61200Dmitry DomanovJanuary 19, 2016 14:07:02 UTC 2016 年 1 月 19 日 (火) 23 時 7 分 2 秒 (日本時間)
5043e6600 / 6944Dmitry DomanovJanuary 20, 2016 13:22:10 UTC 2016 年 1 月 20 日 (水) 22 時 22 分 10 秒 (日本時間)
5511e7120 / 17470Dmitry DomanovJanuary 22, 2016 14:28:21 UTC 2016 年 1 月 22 日 (金) 23 時 28 分 21 秒 (日本時間)