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B1