Table of contents 目次

9×10103-7

c90

name 名前Sinkiti Sibata
date 日付October 27, 2007 23:22:51 UTC 2007 年 10 月 28 日 (日) 8 時 22 分 51 秒 (日本時間)
composite number 合成数
453432984360701811730662361842066998814076709622439235119159164702296684015661335059709287<90>
prime factors 素因数
3138341068996635669510657500009591<34>
144481741911394492878214372456463812416287949515103488657<57>
factorization results 素因数分解の結果
Number: 89993_103
N=453432984360701811730662361842066998814076709622439235119159164702296684015661335059709287
  ( 90 digits)
SNFS difficulty: 103 digits.
Divisors found:
 r1=3138341068996635669510657500009591 (pp34)
 r2=144481741911394492878214372456463812416287949515103488657 (pp57)
Version: GGNFS-0.77.1-20060513-k8
Total time: 1.16 hours.
Scaled time: 2.33 units (timescale=2.010).
Factorization parameters were as follows:
name: 89993_103
n: 453432984360701811730662361842066998814076709622439235119159164702296684015661335059709287
m: 100000000000000000000
c5: 9000
c0: -7
skew: 0.24
type: snfs
Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [250000, 350001)
Primes: RFBsize:37706, AFBsize:41552, largePrimes:1383872 encountered
Relations: rels:1489916, finalFF:267931
Max relations in full relation-set: 28
Initial matrix: 79325 x 267931 with sparse part having weight 10896930.
Pruned matrix : 39729 x 40189 with weight 1773397.
Total sieving time: 1.10 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,103,5,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 1.16 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

9×10110-7

c100

name 名前Sinkiti Sibata
date 日付October 28, 2007 00:47:45 UTC 2007 年 10 月 28 日 (日) 9 時 47 分 45 秒 (日本時間)
composite number 合成数
1139990436450218045364874916232246048513796723724260459114263780638570351214091539941676577618554991<100>
prime factors 素因数
41281949109330068117018801413<29>
27614743514922133541815936402538216668321370424896711617313719193012707<71>
factorization results 素因数分解の結果
Number: 89993_110
N=1139990436450218045364874916232246048513796723724260459114263780638570351214091539941676577618554991
  ( 100 digits)
SNFS difficulty: 110 digits.
Divisors found:
 r1=41281949109330068117018801413 (pp29)
 r2=27614743514922133541815936402538216668321370424896711617313719193012707 (pp71)
Version: GGNFS-0.77.1-20060513-k8
Total time: 1.60 hours.
Scaled time: 3.20 units (timescale=2.003).
Factorization parameters were as follows:
name: 89993_110
n: 1139990436450218045364874916232246048513796723724260459114263780638570351214091539941676577618554991
m: 10000000000000000000000
c5: 9
c0: -7
skew: 0.95
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 450001)
Primes: RFBsize:49098, AFBsize:63908, largePrimes:2384591 encountered
Relations: rels:2925739, finalFF:659504
Max relations in full relation-set: 28
Initial matrix: 113070 x 659504 with sparse part having weight 48577546.
Pruned matrix : 58429 x 59058 with weight 4920438.
Total sieving time: 1.50 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,110,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.60 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

9×10119-7

c92

name 名前Sinkiti Sibata
date 日付October 28, 2007 10:28:01 UTC 2007 年 10 月 28 日 (日) 19 時 28 分 1 秒 (日本時間)
composite number 合成数
12330532721575594545992327055219422353381614259277089538199489555365772207883504963972335329<92>
prime factors 素因数
45567990874948473844291875103339917072403<41>
270596365668481699029128282701225154281973286874043<51>
factorization results 素因数分解の結果
Number: 89993_119
N=12330532721575594545992327055219422353381614259277089538199489555365772207883504963972335329
  ( 92 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=45567990874948473844291875103339917072403 (pp41)
 r2=270596365668481699029128282701225154281973286874043 (pp51)
Version: GGNFS-0.77.1-20060513-k8
Total time: 2.11 hours.
Scaled time: 4.20 units (timescale=1.991).
Factorization parameters were as follows:
name: 89993_119
n: 12330532721575594545992327055219422353381614259277089538199489555365772207883504963972335329
m: 1000000000000000000000000
c5: 9
c0: -70
skew: 1.51
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 550001)
Primes: RFBsize:49098, AFBsize:64228, largePrimes:1981105 encountered
Relations: rels:1934715, finalFF:128846
Max relations in full relation-set: 28
Initial matrix: 113390 x 128846 with sparse part having weight 9933260.
Pruned matrix : 107064 x 107694 with weight 6957791.
Total sieving time: 1.96 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,120,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.11 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

9×10120-7

c121

name 名前Robert Backstrom
date 日付October 28, 2007 08:05:11 UTC 2007 年 10 月 28 日 (日) 17 時 5 分 11 秒 (日本時間)
composite number 合成数
8999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993<121>
prime factors 素因数
20354029401725849662526304753223971301497103511422609997<56>
442172889817918611600780346173978409068598975005735222119428696669<66>
factorization results 素因数分解の結果
Number: n
N=8999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993
  ( 121 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=20354029401725849662526304753223971301497103511422609997 (pp56)
 r2=442172889817918611600780346173978409068598975005735222119428696669 (pp66)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 1.55 hours.
Scaled time: 2.24 units (timescale=1.442).
Factorization parameters were as follows:
name: KA_8_9_119_3
n: 8999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993
skew: 0.95
deg: 5
c5: 9
c0: -7
m: 1000000000000000000000000
type: snfs
rlim: 1000000
alim: 1000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 250001)
Primes: RFBsize:78498, AFBsize:78361, largePrimes:4232731 encountered
Relations: rels:3638568, finalFF:200786
Max relations in full relation-set: 28
Initial matrix: 156923 x 200786 with sparse part having weight 10194178.
Pruned matrix : 122805 x 123653 with weight 4620848.
Total sieving time: 1.31 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.13 hours.
Total square root time: 0.05 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,120,5,0,0,0,0,0,0,0,0,1000000,1000000,28,28,48,48,2.5,2.5,50000
total time: 1.55 hours.
 --------- CPU info (if available) ----------

9×10122-7

c97

name 名前Sinkiti Sibata
date 日付October 28, 2007 06:15:23 UTC 2007 年 10 月 28 日 (日) 15 時 15 分 23 秒 (日本時間)
composite number 合成数
1673715851202497322218396988251980025978426972094963254178577242866898726074527843954613286109873<97>
prime factors 素因数
21496643135387952418448986201888231937<38>
77859405334185056592558073314508609031087592802266287870129<59>
factorization results 素因数分解の結果
Number: 89993_122
N=1673715851202497322218396988251980025978426972094963254178577242866898726074527843954613286109873
  ( 97 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=21496643135387952418448986201888231937 (pp38)
 r2=77859405334185056592558073314508609031087592802266287870129 (pp59)
Version: GGNFS-0.77.1-20060513-k8
Total time: 2.78 hours.
Scaled time: 5.54 units (timescale=1.991).
Factorization parameters were as follows:
name: 89993_122
n: 1673715851202497322218396988251980025978426972094963254178577242866898726074527843954613286109873
m: 1000000000000000000000000
c5: 900
c0: -7
skew: 0.38
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 650001)
Primes: RFBsize:49098, AFBsize:63823, largePrimes:2113012 encountered
Relations: rels:2116801, finalFF:142981
Max relations in full relation-set: 28
Initial matrix: 112985 x 142981 with sparse part having weight 12791337.
Pruned matrix : 105117 x 105745 with weight 7557577.
Total sieving time: 2.61 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,122,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.78 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

9×10123-7

c115

name 名前Robert Backstrom
date 日付October 28, 2007 13:12:21 UTC 2007 年 10 月 28 日 (日) 22 時 12 分 21 秒 (日本時間)
composite number 合成数
3817645414244264782365572684727718345519977899430121871572617364940828356120896280440119253724078424649434243125843<115>
prime factors 素因数
335087805245091568482853093222231<33>
11392970303565490307790042441076114728020253883982388272289002974166360045042039653<83>
factorization results 素因数分解の結果
GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 3817645414244264782365572684727718345519977899430121871572617364940828356120896280440119253724078424649434243125843 (115 digits)
Using B1=226000, B2=100869899, polynomial Dickson(3), sigma=4254552781
Step 1 took 2188ms
Step 2 took 1797ms
********** Factor found in step 2: 335087805245091568482853093222231
Found probable prime factor of 33 digits: 335087805245091568482853093222231
Probable prime cofactor 11392970303565490307790042441076114728020253883982388272289002974166360045042039653 has 83 digits

9×10124-7

c119

name 名前Robert Backstrom
date 日付October 28, 2007 12:18:45 UTC 2007 年 10 月 28 日 (日) 21 時 18 分 45 秒 (日本時間)
composite number 合成数
40720167839482908161995686376886870777262039256956475117488995374641379744069220665756646323172444933890807512599498599<119>
prime factors 素因数
514997239710717504843060243797163586321<39>
79068710858248681348102914984733040362741538735234491408794076224567905858038519<80>
factorization results 素因数分解の結果
Number: n
N=40720167839482908161995686376886870777262039256956475117488995374641379744069220665756646323172444933890807512599498599
  ( 119 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=514997239710717504843060243797163586321 (pp39)
 r2=79068710858248681348102914984733040362741538735234491408794076224567905858038519 (pp80)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 2.17 hours.
Scaled time: 3.15 units (timescale=1.454).
Factorization parameters were as follows:
name: KA_8_9_123_3
n: 40720167839482908161995686376886870777262039256956475117488995374641379744069220665756646323172444933890807512599498599
skew: 1.51
deg: 5
c5: 9
c0: -70
m: 10000000000000000000000000
type: snfs
rlim: 1000000
alim: 1000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 350001)
Primes: RFBsize:78498, AFBsize:78806, largePrimes:4616754 encountered
Relations: rels:3996538, finalFF:211076
Max relations in full relation-set: 28
Initial matrix: 157368 x 211076 with sparse part having weight 12304449.
Pruned matrix : 125655 x 126505 with weight 5315318.
Total sieving time: 1.90 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.16 hours.
Total square root time: 0.02 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,125,5,0,0,0,0,0,0,0,0,1000000,1000000,28,28,48,48,2.5,2.5,50000
total time: 2.17 hours.
 --------- CPU info (if available) ----------

9×10127-7

c110

name 名前Sinkiti Sibata
date 日付October 28, 2007 08:49:01 UTC 2007 年 10 月 28 日 (日) 17 時 49 分 1 秒 (日本時間)
composite number 合成数
54663182364741125803462775792405445851485144937413141458737770402786616920134187641356901510330757177881679553<110>
prime factors 素因数
18928495665651195086151678397725759673977330546366127<53>
2887877797068484257309586094965034801453924030197429437839<58>
factorization results 素因数分解の結果
Number: 89993_127
N=54663182364741125803462775792405445851485144937413141458737770402786616920134187641356901510330757177881679553
  ( 110 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=18928495665651195086151678397725759673977330546366127 (pp53)
 r2=2887877797068484257309586094965034801453924030197429437839 (pp58)
Version: GGNFS-0.77.1-20060513-k8
Total time: 4.41 hours.
Scaled time: 8.86 units (timescale=2.010).
Factorization parameters were as follows:
name: 89993_127
n: 54663182364741125803462775792405445851485144937413141458737770402786616920134187641356901510330757177881679553
m: 10000000000000000000000000
c5: 900
c0: -7
skew: 0.38
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 950001)
Primes: RFBsize:63951, AFBsize:63823, largePrimes:1546280 encountered
Relations: rels:1577253, finalFF:198015
Max relations in full relation-set: 28
Initial matrix: 127838 x 198015 with sparse part having weight 14562521.
Pruned matrix : 108690 x 109393 with weight 6383787.
Total sieving time: 4.25 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,127,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 4.41 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

9×10133-7

c123

name 名前Sinkiti Sibata
date 日付October 28, 2007 04:36:51 UTC 2007 年 10 月 28 日 (日) 13 時 36 分 51 秒 (日本時間)
composite number 合成数
637425890372322111870552134461924960577827615567570996460983077035726280509113823885139408501711796643783835904368410084429<123>
prime factors 素因数
182955127132944612210518087078849494903<39>
3484055901363921062151806188107621607898929991774539197434850631713521731052250641243<85>
factorization results 素因数分解の結果
Number: 89993_133
N=637425890372322111870552134461924960577827615567570996460983077035726280509113823885139408501711796643783835904368410084429
  ( 123 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=182955127132944612210518087078849494903 (pp39)
 r2=3484055901363921062151806188107621607898929991774539197434850631713521731052250641243 (pp85)
Version: GGNFS-0.77.1-20060513-k8
Total time: 6.85 hours.
Scaled time: 13.77 units (timescale=2.010).
Factorization parameters were as follows:
name: 89993_133
n: 637425890372322111870552134461924960577827615567570996460983077035726280509113823885139408501711796643783835904368410084429
m: 100000000000000000000000000
c5: 9000
c0: -7
skew: 0.24
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1225001)
Primes: RFBsize:78498, AFBsize:63803, largePrimes:1569153 encountered
Relations: rels:1588445, finalFF:190481
Max relations in full relation-set: 28
Initial matrix: 142368 x 190481 with sparse part having weight 15782385.
Pruned matrix : 127348 x 128123 with weight 8890552.
Total sieving time: 6.62 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,133,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 6.85 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

9×10137-7

c133

name 名前Sinkiti Sibata
date 日付October 28, 2007 20:24:10 UTC 2007 年 10 月 29 日 (月) 5 時 24 分 10 秒 (日本時間)
composite number 合成数
1572692466977826783651687062158048603186973912526844986693274293293165602769336690740510985256881840120083807034129173969493261012779<133>
prime factors 素因数
221091843902924979644001926922716807503<39>
7113299338479217992920918313593338363891253403625902931023690166695268837106428754985186805093<94>
factorization results 素因数分解の結果
Number: 89993_137
N=1572692466977826783651687062158048603186973912526844986693274293293165602769336690740510985256881840120083807034129173969493261012779
  ( 133 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=221091843902924979644001926922716807503 (pp39)
 r2=7113299338479217992920918313593338363891253403625902931023690166695268837106428754985186805093 (pp94)
Version: GGNFS-0.77.1-20060513-k8
Total time: 13.09 hours.
Scaled time: 26.31 units (timescale=2.010).
Factorization parameters were as follows:
name: 89993_137
n: 1572692466977826783651687062158048603186973912526844986693274293293165602769336690740510985256881840120083807034129173969493261012779
m: 1000000000000000000000000000
c5: 900
c0: -7
skew: 0.38
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 2125001)
Primes: RFBsize:78498, AFBsize:63823, largePrimes:1683910 encountered
Relations: rels:1718050, finalFF:173211
Max relations in full relation-set: 28
Initial matrix: 142385 x 173211 with sparse part having weight 19269917.
Pruned matrix : 135154 x 135929 with weight 13734266.
Total sieving time: 12.78 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,137,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 13.09 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

9×10138-7

c115

name 名前Jo Yeong Uk
date 日付October 28, 2007 23:26:38 UTC 2007 年 10 月 29 日 (月) 8 時 26 分 38 秒 (日本時間)
composite number 合成数
3648214123178278233256210719479595987622179900672256982789110923572726048983147685427800495148109948692769945390121<115>
prime factors 素因数
8324111480329451493669984302302012442668075809611357389<55>
438270694932342412379485394874876095508458992349269934992589<60>
factorization results 素因数分解の結果
Number: 89993_138
N=3648214123178278233256210719479595987622179900672256982789110923572726048983147685427800495148109948692769945390121
  ( 115 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=8324111480329451493669984302302012442668075809611357389 (pp55)
 r2=438270694932342412379485394874876095508458992349269934992589 (pp60)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 6.25 hours.
Scaled time: 13.42 units (timescale=2.146).
Factorization parameters were as follows:
n: 3648214123178278233256210719479595987622179900672256982789110923572726048983147685427800495148109948692769945390121
m: 10000000000000000000000000000
c5: 9
c0: -700
skew: 2.39
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved algebraic special-q in [750000, 1150001)
Primes: RFBsize:114155, AFBsize:114082, largePrimes:3249074 encountered
Relations: rels:3266483, finalFF:322988
Max relations in full relation-set: 28
Initial matrix: 228301 x 322988 with sparse part having weight 26878127.
Pruned matrix : 191188 x 192393 with weight 12738220.
Total sieving time: 6.06 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,47,47,2.3,2.3,50000
total time: 6.25 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

9×10139-7

c134

name 名前Jo Yeong Uk
date 日付October 29, 2007 05:49:42 UTC 2007 年 10 月 29 日 (月) 14 時 49 分 42 秒 (日本時間)
composite number 合成数
84595291426079224430368205705670422384290090413567580828451088412418964760421434942931076456284443207891048784224670054864746228224937<134>
prime factors 素因数
95880034599375142177521603584056943225357<41>
882303513756038409718500891576339947944242061119473046440639355414422699311396515924957852941<93>
factorization results 素因数分解の結果
Number: 89993_139
N=84595291426079224430368205705670422384290090413567580828451088412418964760421434942931076456284443207891048784224670054864746228224937
  ( 134 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=95880034599375142177521603584056943225357 (pp41)
 r2=882303513756038409718500891576339947944242061119473046440639355414422699311396515924957852941 (pp93)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 6.16 hours.
Scaled time: 13.12 units (timescale=2.129).
Factorization parameters were as follows:
n: 84595291426079224430368205705670422384290090413567580828451088412418964760421434942931076456284443207891048784224670054864746228224937
m: 10000000000000000000000000000
c5: 9
c0: -70
skew: 1.51
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved algebraic special-q in [750000, 1150001)
Primes: RFBsize:114155, AFBsize:114417, largePrimes:3350084 encountered
Relations: rels:3437732, finalFF:383556
Max relations in full relation-set: 28
Initial matrix: 228636 x 383556 with sparse part having weight 32672853.
Pruned matrix : 174534 x 175741 with weight 12890921.
Total sieving time: 5.98 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,47,47,2.3,2.3,50000
total time: 6.16 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

9×10140-7

c133

name 名前Robert Backstrom
date 日付October 29, 2007 04:23:43 UTC 2007 年 10 月 29 日 (月) 13 時 23 分 43 秒 (日本時間)
composite number 合成数
1704969123227035524132334724835042674439421354924299494065378522458867747774832010007971734688458958107349542769052894028134798049069<133>
prime factors 素因数
153337616869490449763658859895879<33>
11119053224090329768606633153477332542273472771580149117582678104067239138069306589653736225297573611<101>
factorization results 素因数分解の結果
GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 1704969123227035524132334724835042674439421354924299494065378522458867747774832010007971734688458958107349542769052894028134798049069 (133 digits)
Using B1=690500, B2=495315870, polynomial Dickson(3), sigma=3998297514
Step 1 took 8328ms
Step 2 took 4891ms
********** Factor found in step 2: 153337616869490449763658859895879
Found probable prime factor of 33 digits: 153337616869490449763658859895879
Probable prime cofactor 11119053224090329768606633153477332542273472771580149117582678104067239138069306589653736225297573611 has 101 digits

9×10141-7

c130

name 名前Robert Backstrom
date 日付October 29, 2007 22:34:05 UTC 2007 年 10 月 30 日 (火) 7 時 34 分 5 秒 (日本時間)
composite number 合成数
3647210121350119518190235337345061800537587608749415529958760713265023919457085448117350162821494933357724078360429982102496846289<130>
prime factors 素因数
53727058137272382231521263461791395461691665958866250660772681<62>
67884046657300958448660911774042029705347021611364740350454114167369<68>
factorization results 素因数分解の結果
Number: n
N=3647210121350119518190235337345061800537587608749415529958760713265023919457085448117350162821494933357724078360429982102496846289
  ( 130 digits)
SNFS difficulty: 141 digits.
Divisors found:

Tue Oct 30 09:24:32 2007  prp62 factor: 53727058137272382231521263461791395461691665958866250660772681
Tue Oct 30 09:24:32 2007  prp68 factor: 67884046657300958448660911774042029705347021611364740350454114167369
Tue Oct 30 09:24:32 2007  elapsed time 00:50:42 (Msieve 1.28)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 6.66 hours.
Scaled time: 9.64 units (timescale=1.447).
Factorization parameters were as follows:
name: KA_8_9_140_3
n: 3647210121350119518190235337345061800537587608749415529958760713265023919457085448117350162821494933357724078360429982102496846289
skew: 0.60
deg: 5
c5: 90
c0: -7
m: 10000000000000000000000000000
type: snfs
rlim: 2000000
alim: 2000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 9500000)
Primes: RFBsize:148933, AFBsize:149225, largePrimes:6523890 encountered
Relations: rels:5928439, finalFF:382643
Max relations in full relation-set: 28
Initial matrix: 298225 x 382643 with sparse part having weight 26922338.
Pruned matrix : 236427 x 237982 with weight 14528939.
Total sieving time: 6.49 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,2000000,2000000,28,28,48,48,2.5,2.5,100000
total time: 6.66 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

9×10143-7

c127

name 名前Jo Yeong Uk
date 日付October 29, 2007 23:26:56 UTC 2007 年 10 月 30 日 (火) 8 時 26 分 56 秒 (日本時間)
composite number 合成数
2200360499717057804285186354000826515700652096122032856111785933419856092599249419038475136935920236563158160790423597130028533<127>
prime factors 素因数
156872632499525723095280260098133461577<39>
14026414070177028542787457357907396822775755157120560213926799915579235133672913797156429<89>
factorization results 素因数分解の結果
Number: 89993_143
N=2200360499717057804285186354000826515700652096122032856111785933419856092599249419038475136935920236563158160790423597130028533
  ( 127 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=156872632499525723095280260098133461577 (pp39)
 r2=14026414070177028542787457357907396822775755157120560213926799915579235133672913797156429 (pp89)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 9.59 hours.
Scaled time: 20.58 units (timescale=2.146).
Factorization parameters were as follows:
n: 2200360499717057804285186354000826515700652096122032856111785933419856092599249419038475136935920236563158160790423597130028533
m: 100000000000000000000000000000
c5: 9
c0: -700
skew: 2.39
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved algebraic special-q in [750000, 1400001)
Primes: RFBsize:114155, AFBsize:114082, largePrimes:3411338 encountered
Relations: rels:3448077, finalFF:323928
Max relations in full relation-set: 28
Initial matrix: 228301 x 323928 with sparse part having weight 30228512.
Pruned matrix : 199683 x 200888 with weight 15655341.
Total sieving time: 9.35 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,47,47,2.3,2.3,50000
total time: 9.59 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

9×10144-7

c114

name 名前Jo Yeong Uk
date 日付October 30, 2007 00:54:09 UTC 2007 年 10 月 30 日 (火) 9 時 54 分 9 秒 (日本時間)
composite number 合成数
296246850968027270505132871619611111688006744457888000889843536883278888233053939988057668145613936858002808589373<114>
prime factors 素因数
5793759319832245415885975057146558926953<40>
51132060310818176689028811056072205332653270314035794978186101297841513141<74>
factorization results 素因数分解の結果
Number: 89993_144
N=296246850968027270505132871619611111688006744457888000889843536883278888233053939988057668145613936858002808589373
  ( 114 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=5793759319832245415885975057146558926953 (pp40)
 r2=51132060310818176689028811056072205332653270314035794978186101297841513141 (pp74)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 8.87 hours.
Scaled time: 19.03 units (timescale=2.146).
Factorization parameters were as follows:
n: 296246850968027270505132871619611111688006744457888000889843536883278888233053939988057668145613936858002808589373
m: 100000000000000000000000000000
c5: 9
c0: -70
skew: 1.51
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved algebraic special-q in [750000, 1350001)
Primes: RFBsize:114155, AFBsize:114417, largePrimes:3343512 encountered
Relations: rels:3328593, finalFF:281277
Max relations in full relation-set: 28
Initial matrix: 228636 x 281277 with sparse part having weight 25879845.
Pruned matrix : 211599 x 212806 with weight 16431801.
Total sieving time: 8.61 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,47,47,2.3,2.3,50000
total time: 8.87 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

9×10145-7

c137

name 名前Robert Backstrom
date 日付October 29, 2007 11:20:36 UTC 2007 年 10 月 29 日 (月) 20 時 20 分 36 秒 (日本時間)
composite number 合成数
74480221588060283559792088395232288306833699443207297160318328566374331769348262798857340660533124973865200579006263416717121982481303501<137>
prime factors 素因数
88689612345000909646591931059<29>
839785174596700619416492075514766572936766799231731694119293012984478206119418982501449042954689673043155839<108>
factorization results 素因数分解の結果
GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 74480221588060283559792088395232288306833699443207297160318328566374331769348262798857340660533124973865200579006263416717121982481303501 (137 digits)
Using B1=226000, B2=100869899, polynomial Dickson(3), sigma=1550273985
Step 1 took 3274ms
Step 2 took 2153ms
********** Factor found in step 2: 88689612345000909646591931059
Found probable prime factor of 29 digits: 88689612345000909646591931059
Probable prime cofactor 839785174596700619416492075514766572936766799231731694119293012984478206119418982501449042954689673043155839 has 108 digits

9×10146-7

c114

name 名前Jo Yeong Uk
date 日付October 30, 2007 10:34:13 UTC 2007 年 10 月 30 日 (火) 19 時 34 分 13 秒 (日本時間)
composite number 合成数
138465105281123041720280097879537854129018147941456341438827168511391802940627666355587781402709904235851131937287<114>
prime factors 素因数
64299853807288749095977974116352073454267827<44>
2153427995281495420234041605616327252058426335937525315582533212837981<70>
factorization results 素因数分解の結果
Number: 89993_146
N=138465105281123041720280097879537854129018147941456341438827168511391802940627666355587781402709904235851131937287
  ( 114 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=64299853807288749095977974116352073454267827 (pp44)
 r2=2153427995281495420234041605616327252058426335937525315582533212837981 (pp70)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 10.37 hours.
Scaled time: 22.21 units (timescale=2.143).
Factorization parameters were as follows:
n: 138465105281123041720280097879537854129018147941456341438827168511391802940627666355587781402709904235851131937287
m: 100000000000000000000000000000
c5: 90
c0: -7
skew: 0.6
type: snfs
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1575001)
Primes: RFBsize:135072, AFBsize:135493, largePrimes:3715295 encountered
Relations: rels:3729829, finalFF:320257
Max relations in full relation-set: 28
Initial matrix: 270632 x 320257 with sparse part having weight 29075311.
Pruned matrix : 251639 x 253056 with weight 19777051.
Total sieving time: 10.00 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.28 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,48,48,2.3,2.3,75000
total time: 10.37 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

9×10148-7

c102

name 名前Sinkiti Sibata
date 日付October 30, 2007 22:29:57 UTC 2007 年 10 月 31 日 (水) 7 時 29 分 57 秒 (日本時間)
composite number 合成数
260283465599715195282875769247700889484368036515112348257395053869878284353005891464605690479865649079<102>
prime factors 素因数
185048077381378285528736195447051909587258335893<48>
1406572115111896750750738223467919885903244947129739803<55>
factorization results 素因数分解の結果
Number: 89993_148
N=260283465599715195282875769247700889484368036515112348257395053869878284353005891464605690479865649079
  ( 102 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=185048077381378285528736195447051909587258335893 (pp48)
 r2=1406572115111896750750738223467919885903244947129739803 (pp55)
Version: GGNFS-0.77.1-20060513-k8
Total time: 30.10 hours.
Scaled time: 59.93 units (timescale=1.991).
Factorization parameters were as follows:
name: 89993_148
n: 260283465599715195282875769247700889484368036515112348257395053869878284353005891464605690479865649079
m: 100000000000000000000000000000
c5: 9000
c0: -7
skew: 0.24
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [750000, 4250001)
Primes: RFBsize:114155, AFBsize:114082, largePrimes:3049998 encountered
Relations: rels:3108836, finalFF:263510
Max relations in full relation-set: 28
Initial matrix: 228304 x 263510 with sparse part having weight 32994625.
Pruned matrix : 218898 x 220103 with weight 26198623.
Total sieving time: 29.21 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 0.62 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 30.10 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

9×10149-7

c150

name 名前Jo Yeong Uk
date 日付October 29, 2007 04:23:09 UTC 2007 年 10 月 29 日 (月) 13 時 23 分 9 秒 (日本時間)
composite number 合成数
899999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993<150>
prime factors 素因数
35794409962129142828512220689799871821<38>
123028439265110134626156384131454479013793<42>
204372184460583650412981392697490828081020379007054396748321776875537981<72>
factorization results 素因数分解の結果
Number: 89993_149
N=899999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993
  ( 150 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=35794409962129142828512220689799871821 (pp38)
 r2=123028439265110134626156384131454479013793 (pp42)
 r3=204372184460583650412981392697490828081020379007054396748321776875537981 (pp72)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 12.84 hours.
Scaled time: 27.54 units (timescale=2.146).
Factorization parameters were as follows:
n: 899999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993
m: 1000000000000000000000000000000
c5: 9
c0: -70
skew: 1.51
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2000001)
Primes: RFBsize:176302, AFBsize:176833, largePrimes:5402800 encountered
Relations: rels:5281314, finalFF:455491
Max relations in full relation-set: 28
Initial matrix: 353199 x 455491 with sparse part having weight 38566153.
Pruned matrix : 301756 x 303585 with weight 22658433.
Total sieving time: 12.29 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.44 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 12.84 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

9×10150-7

c115

name 名前Jo Yeong Uk
date 日付October 30, 2007 23:25:57 UTC 2007 年 10 月 31 日 (水) 8 時 25 分 57 秒 (日本時間)
composite number 合成数
1636406825136139563104533988910623283706494518193323744963557735997068458160508983884811204786788623931439183587883<115>
prime factors 素因数
55504280314514112186236174411054189440309<41>
29482533885016913889484106257918099812603456906714576053691076225565509087<74>
factorization results 素因数分解の結果
Number: 89993_150
N=1636406825136139563104533988910623283706494518193323744963557735997068458160508983884811204786788623931439183587883
  ( 115 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=55504280314514112186236174411054189440309 (pp41)
 r2=29482533885016913889484106257918099812603456906714576053691076225565509087 (pp74)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 12.99 hours.
Scaled time: 27.87 units (timescale=2.146).
Factorization parameters were as follows:
n: 1636406825136139563104533988910623283706494518193323744963557735997068458160508983884811204786788623931439183587883
m: 1000000000000000000000000000000
c5: 9
c0: -7
skew: 0.95
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2000001)
Primes: RFBsize:176302, AFBsize:176458, largePrimes:5472027 encountered
Relations: rels:5419693, finalFF:513988
Max relations in full relation-set: 28
Initial matrix: 352824 x 513988 with sparse part having weight 44556647.
Pruned matrix : 279117 x 280945 with weight 22936374.
Total sieving time: 12.50 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.38 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 12.99 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

9×10152-7

c133

name 名前Sinkiti Sibata
date 日付October 31, 2007 22:28:50 UTC 2007 年 11 月 1 日 (木) 7 時 28 分 50 秒 (日本時間)
composite number 合成数
2440842795357990826312342895539487490184328387705207959270387795925092533977126288036775251949678234292518146093908937568969876062363<133>
prime factors 素因数
75820868126956676281536230696860571433120407<44>
32192229601894986931087007258474395061004652068487123300133829248970334366365297350334109<89>
factorization results 素因数分解の結果
Number: 89993_152
N=2440842795357990826312342895539487490184328387705207959270387795925092533977126288036775251949678234292518146093908937568969876062363
  ( 133 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=75820868126956676281536230696860571433120407 (pp44)
 r2=32192229601894986931087007258474395061004652068487123300133829248970334366365297350334109 (pp89)
Version: GGNFS-0.77.1-20060513-k8
Total time: 37.53 hours.
Scaled time: 72.25 units (timescale=1.925).
Factorization parameters were as follows:
name: 89993_152
n: 2440842795357990826312342895539487490184328387705207959270387795925092533977126288036775251949678234292518146093908937568969876062363
m: 1000000000000000000000000000000
c5: 900
c0: -7
skew: 0.38
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2500001)
Primes: RFBsize:176302, AFBsize:175703, largePrimes:5892665 encountered
Relations: rels:5985872, finalFF:583936
Max relations in full relation-set: 28
Initial matrix: 352069 x 583936 with sparse part having weight 61282735.
Pruned matrix : 277434 x 279258 with weight 33988858.
Total sieving time: 35.96 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 1.27 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 37.53 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

9×10153-7

c93

name 名前Jo Yeong Uk
date 日付October 31, 2007 01:03:57 UTC 2007 年 10 月 31 日 (水) 10 時 3 分 57 秒 (日本時間)
composite number 合成数
981345668424409173005139032359911659122268552148212314853518231679477196677844688222808633603<93>
prime factors 素因数
29916323560200857306637278521712341<35>
32803016936544339453376593485631195739277624165372655627383<59>
factorization results 素因数分解の結果
Wed Oct 31 08:32:17 2007  
Wed Oct 31 08:32:17 2007  
Wed Oct 31 08:32:17 2007  Msieve v. 1.28
Wed Oct 31 08:32:17 2007  random seeds: 78b84c31 5c438943
Wed Oct 31 08:32:17 2007  factoring 981345668424409173005139032359911659122268552148212314853518231679477196677844688222808633603 (93 digits)
Wed Oct 31 08:32:17 2007  commencing quadratic sieve (93-digit input)
Wed Oct 31 08:32:18 2007  using multiplier of 3
Wed Oct 31 08:32:18 2007  using 32kb Intel Core sieve core
Wed Oct 31 08:32:18 2007  sieve interval: 36 blocks of size 32768
Wed Oct 31 08:32:18 2007  processing polynomials in batches of 6
Wed Oct 31 08:32:18 2007  using a sieve bound of 1953863 (72941 primes)
Wed Oct 31 08:32:18 2007  using large prime bound of 244232875 (27 bits)
Wed Oct 31 08:32:18 2007  using double large prime bound of 1253277823035125 (42-51 bits)
Wed Oct 31 08:32:18 2007  using trial factoring cutoff of 51 bits
Wed Oct 31 08:32:18 2007  polynomial 'A' values have 12 factors
Wed Oct 31 09:57:24 2007  73505 relations (19333 full + 54172 combined from 979953 partial), need 73037
Wed Oct 31 09:57:24 2007  begin with 999286 relations
Wed Oct 31 09:57:24 2007  reduce to 184209 relations in 11 passes
Wed Oct 31 09:57:24 2007  attempting to read 184209 relations
Wed Oct 31 09:57:26 2007  recovered 184209 relations
Wed Oct 31 09:57:26 2007  recovered 160186 polynomials
Wed Oct 31 09:57:26 2007  attempting to build 73505 cycles
Wed Oct 31 09:57:26 2007  found 73505 cycles in 6 passes
Wed Oct 31 09:57:26 2007  distribution of cycle lengths:
Wed Oct 31 09:57:26 2007     length 1 : 19333
Wed Oct 31 09:57:26 2007     length 2 : 13661
Wed Oct 31 09:57:26 2007     length 3 : 12554
Wed Oct 31 09:57:26 2007     length 4 : 9800
Wed Oct 31 09:57:26 2007     length 5 : 7114
Wed Oct 31 09:57:26 2007     length 6 : 4591
Wed Oct 31 09:57:26 2007     length 7 : 2825
Wed Oct 31 09:57:26 2007     length 9+: 3627
Wed Oct 31 09:57:26 2007  largest cycle: 18 relations
Wed Oct 31 09:57:26 2007  matrix is 72941 x 73505 with weight 4546757 (avg 61.86/col)
Wed Oct 31 09:57:27 2007  filtering completed in 3 passes
Wed Oct 31 09:57:27 2007  matrix is 68316 x 68380 with weight 4231949 (avg 61.89/col)
Wed Oct 31 09:57:28 2007  saving the first 48 matrix rows for later
Wed Oct 31 09:57:28 2007  matrix is 68268 x 68380 with weight 3299116 (avg 48.25/col)
Wed Oct 31 09:57:28 2007  matrix includes 64 packed rows
Wed Oct 31 09:57:28 2007  using block size 27352 for processor cache size 4096 kB
Wed Oct 31 09:57:29 2007  commencing Lanczos iteration
Wed Oct 31 09:57:50 2007  lanczos halted after 1081 iterations
Wed Oct 31 09:57:50 2007  recovered 15 nontrivial dependencies
Wed Oct 31 09:57:50 2007  prp35 factor: 29916323560200857306637278521712341
Wed Oct 31 09:57:50 2007  prp59 factor: 32803016936544339453376593485631195739277624165372655627383
Wed Oct 31 09:57:50 2007  elapsed time 01:25:33
execution environment 実行環境
Core 2 Quad Q6600

9×10154-7

c143

name 名前Robert Backstrom
date 日付November 1, 2007 04:13:46 UTC 2007 年 11 月 1 日 (木) 13 時 13 分 46 秒 (日本時間)
composite number 合成数
15791000075873905536643005674835499743042023035608132996665252198463383016350684288596800392658129485982981128379660782197197761083905185830441<143>
prime factors 素因数
3792154237087773328323098510929643<34>
13515254733080096925398066307959108515533417271<47>
308105468835983009135964692963347948427570307230290780677274397<63>
factorization results 素因数分解の結果
prp34 factors: 3792154237087773328323098510929643
prp47 factor:  13515254733080096925398066307959108515533417271 (pp47)
prp63 factor:  308105468835983009135964692963347948427570307230290780677274397 (pp63)

GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 15791000075873905536643005674835499743042023035608132996665252198463383016350684288596800392658129485982981128379660782197197761083905185830441 (143 digits)
Using B1=1030000, B2=875663603, polynomial Dickson(3), sigma=1277051764
Step 1 took 15188ms
Step 2 took 8703ms
********** Factor found in step 2: 3792154237087773328323098510929643
Found probable prime factor of 34 digits: 3792154237087773328323098510929643
Composite cofactor 4164123895973381665684521031919367758331000757893159498628020621881612855280700051156426496919521695565910587 has 109 digits

Number: n
N=4164123895973381665684521031919367758331000757893159498628020621881612855280700051156426496919521695565910587
  ( 109 digits)
Divisors found:
 r1=13515254733080096925398066307959108515533417271 (pp47)
 r2=308105468835983009135964692963347948427570307230290780677274397 (pp63)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 15.47 hours.
Scaled time: 20.19 units (timescale=1.305).
Factorization parameters were as follows:
name: KA_8_9_153_3
n: 4164123895973381665684521031919367758331000757893159498628020621881612855280700051156426496919521695565910587
skew: 13433.88
# norm 5.58e+14
c5: 62340
c4: -1730045296
c3: -31252455735533
c2: 59780409705258362
c1: 594864083607926757768
c0: 4226538018654160771217904
# alpha -5.88
Y1: 54837503413
Y0: -582038343536829418255
# Murphy_E 1.28e-09
# M 775188593700025757374907442535572328332511394125380113220895912641476417303724565829169862375221504000062036
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [100000, 1500001)
Primes: RFBsize:230209, AFBsize:230238, largePrimes:6848426 encountered
Relations: rels:6590432, finalFF:586768
Max relations in full relation-set: 28
Initial matrix: 460530 x 586768 with sparse part having weight 36842357.
Pruned matrix : 341921 x 344287 with weight 16084571.
Total sieving time: 13.36 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 1.49 hours.
Total square root time: 0.31 hours, sqrts: 2.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 15.47 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

9×10157-7

c149

name 名前Robert Backstrom
date 日付October 31, 2007 13:45:31 UTC 2007 年 10 月 31 日 (水) 22 時 45 分 31 秒 (日本時間)
composite number 合成数
61086148328241023456170774434462215920080438294417426293679106525704877121001087183439811795314562241854476205041713894715231040563014033617462633693<149>
prime factors 素因数
8547312778918799179387612593474476828728823510172134540253167241939987973<73>
7146824962215572093535969278319248184705372720242480746696150650147917691641<76>
factorization results 素因数分解の結果
Number: n
N=61086148328241023456170774434462215920080438294417426293679106525704877121001087183439811795314562241854476205041713894715231040563014033617462633693
  ( 149 digits)
SNFS difficulty: 157 digits.
Divisors found:

Thu Nov 01 00:37:53 2007  prp73 factor: 8547312778918799179387612593474476828728823510172134540253167241939987973
Thu Nov 01 00:37:53 2007  prp76 factor: 7146824962215572093535969278319248184705372720242480746696150650147917691641
Thu Nov 01 00:37:53 2007  elapsed time 01:22:09 (Msieve 1.28)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 37.30 hours.
Scaled time: 49.46 units (timescale=1.326).
Factorization parameters were as follows:
name: KA_8_9_156_3
n: 61086148328241023456170774434462215920080438294417426293679106525704877121001087183439811795314562241854476205041713894715231040563014033617462633693
skew: 0.38
deg: 5
c5: 900
c0: -7
m: 10000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 1900000)
Primes: RFBsize:216816, AFBsize:216321, largePrimes:7229719 encountered
Relations: rels:6721021, finalFF:520151
Max relations in full relation-set: 28
Initial matrix: 433201 x 520151 with sparse part having weight 46044664.
Pruned matrix : 368182 x 370412 with weight 28093041.
Total sieving time: 37.05 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 37.30 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

9×10159-7

c132

name 名前Sinkiti Sibata
date 日付November 2, 2007 05:13:33 UTC 2007 年 11 月 2 日 (金) 14 時 13 分 33 秒 (日本時間)
composite number 合成数
497109400238087848582031566032851660055020853947195342757531373490526734611539481118145584113295135923191327086633995939773759489101<132>
prime factors 素因数
22392329597836817510288640646341074175512979619336814351<56>
22199985850784836127380389132731731977501124190563051137404670084573603137251<77>
factorization results 素因数分解の結果
Number: 89993_159
N=497109400238087848582031566032851660055020853947195342757531373490526734611539481118145584113295135923191327086633995939773759489101
  ( 132 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=22392329597836817510288640646341074175512979619336814351 (pp56)
 r2=22199985850784836127380389132731731977501124190563051137404670084573603137251 (pp77)
Version: GGNFS-0.77.1-20060513-k8
Total time: 59.23 hours.
Scaled time: 118.63 units (timescale=2.003).
Factorization parameters were as follows:
name: 89993_159
n: 497109400238087848582031566032851660055020853947195342757531373490526734611539481118145584113295135923191327086633995939773759489101
m: 100000000000000000000000000000000
c5: 9
c0: -70
skew: 1.51
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3900001)
Primes: RFBsize:283146, AFBsize:284062, largePrimes:5877832 encountered
Relations: rels:6049555, finalFF:771663
Max relations in full relation-set: 28
Initial matrix: 567272 x 771663 with sparse part having weight 50943228.
Pruned matrix : 418651 x 421551 with weight 36252838.
Total sieving time: 56.43 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 2.38 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 59.23 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

9×10160-7

c149

name 名前Robert Backstrom
date 日付November 1, 2007 19:08:56 UTC 2007 年 11 月 2 日 (金) 4 時 8 分 56 秒 (日本時間)
composite number 合成数
23055411367586615082003261341128857444920360386517972549304906315835176876756217183769848071125522085298104115328957218756792728520856138498005089787<149>
prime factors 素因数
44832592826645189491277561661890927333335849<44>
58928729369518409469720209631759471783420671<44>
8726738097012509717654043907256703264726239277870739541104253<61>
factorization results 素因数分解の結果
Number: n
N=23055411367586615082003261341128857444920360386517972549304906315835176876756217183769848071125522085298104115328957218756792728520856138498005089787
  ( 149 digits)
SNFS difficulty: 160 digits.
Divisors found:

Fri Nov 02 05:43:45 2007  prp44 factor: 44832592826645189491277561661890927333335849
Fri Nov 02 05:43:45 2007  prp44 factor: 58928729369518409469720209631759471783420671
Fri Nov 02 05:43:45 2007  prp61 factor: 8726738097012509717654043907256703264726239277870739541104253
Fri Nov 02 05:43:45 2007  elapsed time 01:21:01 (Msieve 1.28)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 35.14 hours.
Scaled time: 50.08 units (timescale=1.425).
Factorization parameters were as follows:
name: KA_8_9_159_3
n: 23055411367586615082003261341128857444920360386517972549304906315835176876756217183769848071125522085298104115328957218756792728520856138498005089787
skew: 0.95
deg: 5
c5: 9
c0: -7
m: 100000000000000000000000000000000
type: snfs
rlim: 2800000
alim: 2800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 1800179)
Primes: RFBsize:203362, AFBsize:203517, largePrimes:7126574 encountered
Relations: rels:6588475, finalFF:452122
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 34.95 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.5,2.5,100000
total time: 35.14 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

9×10161-7

c132

name 名前Sinkiti Sibata
date 日付November 3, 2007 22:47:05 UTC 2007 年 11 月 4 日 (日) 7 時 47 分 5 秒 (日本時間)
composite number 合成数
528220323458424440646483477713402912362372432295144177626701835540702260229176792484870656015751898878654984062057672951330199945027<132>
prime factors 素因数
637003641965194182950788890954509239897<39>
829226536019218470577471928756725407087718463007725782007729866451066972588969963334914455291<93>
factorization results 素因数分解の結果
Number: 89993_161
N=528220323458424440646483477713402912362372432295144177626701835540702260229176792484870656015751898878654984062057672951330199945027
  ( 132 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=637003641965194182950788890954509239897 (pp39)
 r2=829226536019218470577471928756725407087718463007725782007729866451066972588969963334914455291 (pp93)
Version: GGNFS-0.77.1-20060513-k8
Total time: 72.73 hours.
Scaled time: 146.18 units (timescale=2.010).
Factorization parameters were as follows:
name: 89993_161
n: 528220323458424440646483477713402912362372432295144177626701835540702260229176792484870656015751898878654984062057672951330199945027
m: 100000000000000000000000000000000
c5: 90
c0: -7
skew: 0.6
type: snfs
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2250000, 4550001)
Primes: RFBsize:315948, AFBsize:316641, largePrimes:5828768 encountered
Relations: rels:5947621, finalFF:747210
Max relations in full relation-set: 28
Initial matrix: 632656 x 747210 with sparse part having weight 48277826.
Pruned matrix : 546815 x 550042 with weight 33888020.
Total sieving time: 68.82 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 3.49 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,48,48,2.3,2.3,100000
total time: 72.73 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

9×10164-7

c158

name 名前Robert Backstrom
date 日付November 5, 2007 23:34:45 UTC 2007 年 11 月 6 日 (火) 8 時 34 分 45 秒 (日本時間)
composite number 合成数
25641239683282826264048301029977258784524896461386415561816513169184004869328396388038224934470250706081392645243448898305618334648776412862933585172092747099<158>
prime factors 素因数
5195304037384876588643582502770703788863<40>
44521045988937219971985542168110282187182538753337627749<56>
110856890051938744122912238100452821884732080214861054731598977<63>
factorization results 素因数分解の結果
GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 25641239683282826264048301029977258784524896461386415561816513169184004869328396388038224934470250706081392645243448898305618334648776412862933585172092747099 (158 digits)
Using B1=141500, B2=51763044, polynomial x^2, sigma=2371525520
Step 1 took 2500ms
Step 2 took 1484ms
********** Factor found in step 2: 5195304037384876588643582502770703788863
Found probable prime factor of 40 digits: 5195304037384876588643582502770703788863
Composite cofactor 4935464700192921827044022834990668957767855479530538704420183216532608252538248713711246307900524500214451242775212773 has 118 digits


Number: n
N=4935464700192921827044022834990668957767855479530538704420183216532608252538248713711246307900524500214451242775212773
  ( 118 digits)
SNFS difficulty: 165 digits.
Divisors found:

Tue Nov 06 10:24:21 2007  prp56 factor: 44521045988937219971985542168110282187182538753337627749
Tue Nov 06 10:24:21 2007  prp63 factor: 110856890051938744122912238100452821884732080214861054731598977
Tue Nov 06 10:24:21 2007  elapsed time 01:29:30 (Msieve 1.29)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 64.39 hours.
Scaled time: 84.09 units (timescale=1.306).
Factorization parameters were as follows:
name: KA_8_9_163_3
n: 4935464700192921827044022834990668957767855479530538704420183216532608252538248713711246307900524500214451242775212773

# n: 25641239683282826264048301029977258784524896461386415561816513169184004869328396388038224934470250706081392645243448898305618334648776412862933585172092747099

skew: 1.51
deg: 5
c5: 9
c0: -70
m: 1000000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 3200000)
Primes: RFBsize:216816, AFBsize:217291, largePrimes:7651039 encountered
Relations: rels:7167373, finalFF:504847
Max relations in full relation-set: 28
Initial matrix: 434171 x 504847 with sparse part having weight 46676546.
Pruned matrix : 406046 x 408280 with weight 34115092.
Total sieving time: 64.06 hours.
Total relation processing time: 0.33 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 64.39 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

9×10166-7

c154

name 名前Sinkiti Sibata
date 日付November 6, 2007 20:45:02 UTC 2007 年 11 月 7 日 (水) 5 時 45 分 2 秒 (日本時間)
composite number 合成数
1335006700623134276833509278792951544459029456753960978279183880064673180289547757171082237750647795330058324252033450827327369675772426590179731812393623<154>
prime factors 素因数
326236852168633890020751838911718198217<39>
4092139473970466337231565660348581447470351547418909019180227591362356350317132972423887166170348215102482040007519<115>
factorization results 素因数分解の結果
Number: 89993_166
N=1335006700623134276833509278792951544459029456753960978279183880064673180289547757171082237750647795330058324252033450827327369675772426590179731812393623
  ( 154 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=326236852168633890020751838911718198217 (pp39)
 r2=4092139473970466337231565660348581447470351547418909019180227591362356350317132972423887166170348215102482040007519 (pp115)
Version: GGNFS-0.77.1-20060513-k8
Total time: 124.14 hours.
Scaled time: 248.65 units (timescale=2.003).
Factorization parameters were as follows:
name: 89993_166
n: 1335006700623134276833509278792951544459029456753960978279183880064673180289547757171082237750647795330058324252033450827327369675772426590179731812393623
m: 1000000000000000000000000000000000
c5: 90
c0: -7
skew: 0.6
type: snfs
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2500000, 6400001)
Primes: RFBsize:348513, AFBsize:349111, largePrimes:5986344 encountered
Relations: rels:6137431, finalFF:783376
Max relations in full relation-set: 28
Initial matrix: 697691 x 783376 with sparse part having weight 60293050.
Pruned matrix : 635609 x 639161 with weight 46938360.
Total sieving time: 117.98 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 5.62 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,48,48,2.5,2.5,100000
total time: 124.14 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

9×10167-7

c159

name 名前Robert Backstrom
date 日付January 27, 2008 03:27:30 UTC 2008 年 1 月 27 日 (日) 12 時 27 分 30 秒 (日本時間)
composite number 合成数
219401466359120384914441659331622622883141792996919768450976533267468558077432204495293680211871978578374113151939210418163761206222124856293654573347958072763<159>
prime factors 素因数
1475840225808026944863592821406727235005191165802606042142091249608358711<73>
148662072304606973843025284582176600459246392524700966245732210436802333527066765202333<87>
factorization results 素因数分解の結果
Number: n
N=219401466359120384914441659331622622883141792996919768450976533267468558077432204495293680211871978578374113151939210418163761206222124856293654573347958072763
  ( 159 digits)
SNFS difficulty: 167 digits.
Divisors found:

Sun Jan 27 14:19:56 2008  prp73 factor: 1475840225808026944863592821406727235005191165802606042142091249608358711
Sun Jan 27 14:19:56 2008  prp87 factor: 148662072304606973843025284582176600459246392524700966245732210436802333527066765202333
Sun Jan 27 14:19:56 2008  elapsed time 01:34:48 (Msieve 1.33)

Version: GGNFS-0.77.1-20050930-k8
Total time: 92.12 hours.
Scaled time: 77.29 units (timescale=0.839).
Factorization parameters were as follows:
name: KA_8_9_166_3
n: 219401466359120384914441659331622622883141792996919768450976533267468558077432204495293680211871978578374113151939210418163761206222124856293654573347958072763
type: snfs
deg: 5
c5: 900
c0: -7
skew: 0.38
m: 1000000000000000000000000000000000
rlim: 3000000
alim: 3000000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved  special-q in [100000, 5900001)
Primes: RFBsize:216816, AFBsize:216321, largePrimes:6047622 encountered
Relations: rels:5989690, finalFF:470608
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 91.85 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.5,2.5,100000
total time: 92.12 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6045.69 BogoMIPS (lpj=3022848)
Total of 2 processors activated (12009.47 BogoMIPS).

9×10168-7

c124

name 名前Robert Backstrom
date 日付February 10, 2008 15:32:48 UTC 2008 年 2 月 11 日 (月) 0 時 32 分 48 秒 (日本時間)
composite number 合成数
3823561398613046553081648079877004940120247857144497992706896103326085216787119194593969704297680456265092223387645168772757<124>
prime factors 素因数
49210457799346902131698308801292711620150749<44>
77698147296321048398209905863232249781232086869460260825621557916054516169171993<80>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM]
Input number is 3823561398613046553081648079877004940120247857144497992706896103326085216787119194593969704297680456265092223387645168772757 (124 digits)
Using B1=1586000, B2=2140202620, polynomial Dickson(6), sigma=2359037686
Step 1 took 14128ms
Step 2 took 6509ms
********** Factor found in step 2: 49210457799346902131698308801292711620150749
Found probable prime factor of 44 digits: 49210457799346902131698308801292711620150749
Probable prime cofactor 77698147296321048398209905863232249781232086869460260825621557916054516169171993 has 80 digits

9×10172-7

c145

name 名前Sinkiti Sibata
date 日付May 13, 2010 10:19:43 UTC 2010 年 5 月 13 日 (木) 19 時 19 分 43 秒 (日本時間)
composite number 合成数
3674077510338901893769884208670755353409628058802191862031853841005019827580775992016232391117248077046407209743051157650002005776066839675989283<145>
prime factors 素因数
1230572333966178569213783745709380647003<40>
2985665619912987071009965308740715306903703470898269719229303606605231543658298741768182276250657874540761<106>
factorization results 素因数分解の結果
Number: 89993_172
N=3674077510338901893769884208670755353409628058802191862031853841005019827580775992016232391117248077046407209743051157650002005776066839675989283
  ( 145 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=1230572333966178569213783745709380647003 (pp40)
 r2=2985665619912987071009965308740715306903703470898269719229303606605231543658298741768182276250657874540761 (pp106)
Version: Msieve-1.40
Total time: 94.01 hours.
Scaled time: 224.03 units (timescale=2.383).
Factorization parameters were as follows:
name: 89993_172
n: 3674077510338901893769884208670755353409628058802191862031853841005019827580775992016232391117248077046407209743051157650002005776066839675989283
m: 10000000000000000000000000000000000
deg: 5
c5: 900
c0: -7
skew: 0.38
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2650000, 6650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1071826 x 1072074
Total sieving time: 90.89 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 2.68 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 94.01 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 28, 2007 09:00:00 UTC 2007 年 10 月 28 日 (日) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiSeptember 13, 2009 07:34:54 UTC 2009 年 9 月 13 日 (日) 16 時 34 分 54 秒 (日本時間)

9×10173-7

c122

name 名前Robert Backstrom
date 日付February 10, 2008 12:42:59 UTC 2008 年 2 月 10 日 (日) 21 時 42 分 59 秒 (日本時間)
composite number 合成数
78016717355669533623236186724882860174953287994593608083231069741583364645838859109403023516205314720362300618753733098749<122>
prime factors 素因数
32933203402548031161720747926069273<35>
2368938010738226751172660755825073523676287922290421869222162020029734816560986221793413<88>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM]
Input number is 78016717355669533623236186724882860174953287994593608083231069741583364645838859109403023516205314720362300618753733098749 (122 digits)
Using B1=2282000, B2=3567637720, polynomial Dickson(6), sigma=3215918255
Step 1 took 20312ms
Step 2 took 9315ms
********** Factor found in step 2: 32933203402548031161720747926069273
Found probable prime factor of 35 digits: 32933203402548031161720747926069273
Probable prime cofactor 2368938010738226751172660755825073523676287922290421869222162020029734816560986221793413 has 88 digits

9×10175-7

c133

name 名前Warut Roonguthai
date 日付September 26, 2011 22:13:10 UTC 2011 年 9 月 27 日 (火) 7 時 13 分 10 秒 (日本時間)
composite number 合成数
5680259357127333941934063500654989181907458727139329436377879441934063663626419216145665802378567645203686301401970751969312966431071<133>
prime factors 素因数
251708125395634031980166970606249136674893651112787<51>
22566849394309859194946786232536651024766683710075427312106529413911041167911179333<83>
factorization results 素因数分解の結果
N = 5680259357127333941934063500654989181907458727139329436377879441934063663626419216145665802378567645203686301401970751969312966431071 (133 digits)
SNFS difficulty: 176 digits.
Divisors found:
r1=251708125395634031980166970606249136674893651112787 (pp51)
r2=22566849394309859194946786232536651024766683710075427312106529413911041167911179333 (pp83)
Version: Msieve v. 1.47
Total time: 32.47 hours.
Factorization parameters were as follows:
name: 9*10^175-7
n: 5680259357127333941934063500654989181907458727139329436377879441934063663626419216145665802378567645203686301401970751969312966431071
Y0: 100000000000000000000000000000000000
Y1: -1
c0: -7
c1: 0
c2: 0
c3: 0
c4: 0
c5: 9
skew: 0.95
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20160133
Relations: 2270292 relations
Pruned matrix : 1293316 x 1293542
Polynomial selection time: 0.00 hours.
Total sieving time: 28.35 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 3.60 hours.
time per square root: 0.39 hours.
Prototype def-par.txt line would be: snfs,176,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,55,55,2.5,2.5,100000
total time: 32.47 hours.
Intel64 Family 6 Model 37 Stepping 5, GenuineIntel
Windows-7-6.1.7600
processors: 4, speed: 2.53GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 28, 2007 09:00:00 UTC 2007 年 10 月 28 日 (日) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 17, 2010 17:29:37 UTC 2010 年 6 月 18 日 (金) 2 時 29 分 37 秒 (日本時間)
403e62144110Ignacio SantosJune 17, 2010 17:29:37 UTC 2010 年 6 月 18 日 (金) 2 時 29 分 37 秒 (日本時間)
2034Wataru SakaiJune 19, 2010 02:20:10 UTC 2010 年 6 月 19 日 (土) 11 時 20 分 10 秒 (日本時間)
4511e632 / 3991Ignacio SantosJune 17, 2010 17:29:37 UTC 2010 年 6 月 18 日 (金) 2 時 29 分 37 秒 (日本時間)

9×10176-7

c131

name 名前Warut Roonguthai
date 日付October 20, 2011 11:15:39 UTC 2011 年 10 月 20 日 (木) 20 時 15 分 39 秒 (日本時間)
composite number 合成数
65722979413162586901080138062932451476626761263623903463467960591485399113099551660330252979433145820831372296716173806631399730307<131>
prime factors 素因数
6570577352524454280361407329198116089534862000482006847<55>
10002618626491237257044328548099948893728032266318767226567438548309828853181<77>
factorization results 素因数分解の結果
N = 65722979413162586901080138062932451476626761263623903463467960591485399113099551660330252979433145820831372296716173806631399730307 (131 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=6570577352524454280361407329198116089534862000482006847 (pp55)
r2=10002618626491237257044328548099948893728032266318767226567438548309828853181 (pp77)
Version: Msieve v. 1.48
Total time: 36.46 hours.
Factorization parameters were as follows:
name: 9*10^176-7
n: 65722979413162586901080138062932451476626761263623903463467960591485399113099551660330252979433145820831372296716173806631399730307
Y0: 100000000000000000000000000000000000
Y1: -1
c0: -7
c1: 0
c2: 0
c3: 0
c4: 0
c5: 90
skew: 0.60
type: snfs
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20849922
Relations: 2446346 relations
Pruned matrix : 1404238 x 1404464
Polynomial selection time: 0.00 hours.
Total sieving time: 33.84 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 2.44 hours.
time per square root: 0.06 hours.
Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,55,55,2.5,2.5,100000
total time: 36.46 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 28, 2007 09:00:00 UTC 2007 年 10 月 28 日 (日) 18 時 0 分 0 秒 (日本時間)
351e660Rich DickersonFebruary 25, 2011 20:54:17 UTC 2011 年 2 月 26 日 (土) 5 時 54 分 17 秒 (日本時間)
403e6890120Rich DickersonFebruary 25, 2011 22:15:10 UTC 2011 年 2 月 26 日 (土) 7 時 15 分 10 秒 (日本時間)
770Ignacio SantosJuly 5, 2011 09:52:18 UTC 2011 年 7 月 5 日 (火) 18 時 52 分 18 秒 (日本時間)
4511e64620400Rich DickersonFebruary 26, 2011 13:59:18 UTC 2011 年 2 月 26 日 (土) 22 時 59 分 18 秒 (日本時間)
220Ignacio SantosJuly 5, 2011 09:52:18 UTC 2011 年 7 月 5 日 (火) 18 時 52 分 18 秒 (日本時間)
4000Wataru SakaiSeptember 16, 2011 07:28:55 UTC 2011 年 9 月 16 日 (金) 16 時 28 分 55 秒 (日本時間)
5043e661 / 6482Ignacio SantosJuly 5, 2011 09:52:18 UTC 2011 年 7 月 5 日 (火) 18 時 52 分 18 秒 (日本時間)

9×10177-7

c158

name 名前Robert Backstrom
date 日付January 13, 2012 06:11:00 UTC 2012 年 1 月 13 日 (金) 15 時 11 分 0 秒 (日本時間)
composite number 合成数
35100279984370161892018531631602213137504045836064960836702141540364550629986257655121744020709129177314903453706701627031454892428587913481034872035000950787<158>
prime factors 素因数
305398083771533035043258313436922481348866163347550983513663<60>
114932875645115465637330837941543017125838642645103637831465181873242210223610362729436008275705149<99>
factorization results 素因数分解の結果
Number: n
N=35100279984370161892018531631602213137504045836064960836702141540364550629986257655121744020709129177314903453706701627031454892428587913481034872035000950787
  ( 158 digits)
SNFS difficulty: 177 digits.
Divisors found:

Fri Jan 13 10:00:18 2012  prp60 factor: 305398083771533035043258313436922481348866163347550983513663
Fri Jan 13 10:00:18 2012  prp99 factor: 114932875645115465637330837941543017125838642645103637831465181873242210223610362729436008275705149
Fri Jan 13 10:00:18 2012  elapsed time 03:16:13 (Msieve 1.44 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.649).
Factorization parameters were as follows:
name: KA_98883_177
n: 35100279984370161892018531631602213137504045836064960836702141540364550629986257655121744020709129177314903453706701627031454892428587913481034872035000950787
m: 100000000000000000000000000000000000
deg: 5
c5: 900
c0: -7
skew: 0.38
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7483852 hash collisions in 75000098 relations
Msieve: matrix is 1127462 x 1127693 (314.5 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 28, 2007 09:00:00 UTC 2007 年 10 月 28 日 (日) 18 時 0 分 0 秒 (日本時間)
351e660Rich DickersonFebruary 25, 2011 20:54:11 UTC 2011 年 2 月 26 日 (土) 5 時 54 分 11 秒 (日本時間)
403e6939120Rich DickersonFebruary 25, 2011 22:16:14 UTC 2011 年 2 月 26 日 (土) 7 時 16 分 14 秒 (日本時間)
819Wataru SakaiNovember 13, 2011 08:06:25 UTC 2011 年 11 月 13 日 (日) 17 時 6 分 25 秒 (日本時間)
4511e6400 / 4269Rich DickersonFebruary 26, 2011 13:59:04 UTC 2011 年 2 月 26 日 (土) 22 時 59 分 4 秒 (日本時間)

9×10179-7

c150

name 名前Dmitry Domanov
date 日付May 13, 2013 06:01:05 UTC 2013 年 5 月 13 日 (月) 15 時 1 分 5 秒 (日本時間)
composite number 合成数
232284283956066471517995703041275301349737745699568144627641947145240309666826514293119623470594190654034258267798187350788273614422139291445144863269<150>
prime factors 素因数
37457574674179057991882902961495853146207127601<47>
6201263321946707140413050056613102802441776271168702241656281439550588769801915267842062196313638178869<103>
factorization results 素因数分解の結果
N=232284283956066471517995703041275301349737745699568144627641947145240309666826514293119623470594190654034258267798187350788273614422139291445144863269
  ( 150 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=37457574674179057991882902961495853146207127601 (pp47)
 r2=6201263321946707140413050056613102802441776271168702241656281439550588769801915267842062196313638178869 (pp103)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 91.88 hours.
Scaled time: 173.74 units (timescale=1.891).
Factorization parameters were as follows:
n: 232284283956066471517995703041275301349737745699568144627641947145240309666826514293119623470594190654034258267798187350788273614422139291445144863269
m: 500000000000000000000000000000000000
deg: 5
c5: 144
c0: -35
skew: 0.75
# Murphy_E = 1.082e-10
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3600000, 8400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1340876 x 1341104
Total sieving time: 89.85 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 1.75 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,180.000,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,53,53,2.5,2.5,100000
total time: 91.88 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
3025e4430Makoto KamadaOctober 28, 2007 09:00:00 UTC 2007 年 10 月 28 日 (日) 18 時 0 分 0 秒 (日本時間)
351e660Rich DickersonFebruary 27, 2011 23:55:51 UTC 2011 年 2 月 28 日 (月) 8 時 55 分 51 秒 (日本時間)
403e6120Rich DickersonFebruary 28, 2011 00:56:34 UTC 2011 年 2 月 28 日 (月) 9 時 56 分 34 秒 (日本時間)
4511e6700 / 4450Rich DickersonFebruary 28, 2011 13:27:50 UTC 2011 年 2 月 28 日 (月) 22 時 27 分 50 秒 (日本時間)

9×10180-7

c177

name 名前Robert Backstrom
date 日付September 24, 2008 05:58:34 UTC 2008 年 9 月 24 日 (水) 14 時 58 分 34 秒 (日本時間)
composite number 合成数
826370397575980167110458176475989349003764576255623909650169865026168395923239371958497842255072996051785878248094757138922045725828665870902580112019098338077311541639886144523<177>
prime factors 素因数
5486819574558925029152624668200693996930258823313386814434120700542015883423<76>
150610091392044818382883472006373182746590680311053182451698963556980981251397542935784243994273255701<102>
factorization results 素因数分解の結果
Number: n
N=826370397575980167110458176475989349003764576255623909650169865026168395923239371958497842255072996051785878248094757138922045725828665870902580112019098338077311541639886144523
  ( 177 digits)
SNFS difficulty: 180 digits.
Divisors found:

Wed Sep 24 11:08:36 2008  prp76 factor: 5486819574558925029152624668200693996930258823313386814434120700542015883423
Wed Sep 24 11:08:36 2008  prp102 factor: 150610091392044818382883472006373182746590680311053182451698963556980981251397542935784243994273255701
Wed Sep 24 11:08:37 2008  elapsed time 03:49:38 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 35.61 hours.
Scaled time: 60.78 units (timescale=1.707).
Factorization parameters were as follows:
name: KA_8_9_179_3
n: 826370397575980167110458176475989349003764576255623909650169865026168395923239371958497842255072996051785878248094757138922045725828665870902580112019098338077311541639886144523
type: snfs
skew: 0.95
deg: 5
c5: 9
c0: -7
m: 1000000000000000000000000000000000000
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 3000001)
Primes: RFBsize:539777, AFBsize:539995, largePrimes:13973574 encountered
Relations: rels:13965082, finalFF:1414887
Max relations in full relation-set: 28
Initial matrix: 1079836 x 1414887 with sparse part having weight 138132887.
Pruned matrix : 
Total sieving time: 35.29 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,52,52,2.5,2.5,100000
total time: 35.61 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
3025e4430Makoto KamadaOctober 28, 2007 09:00:00 UTC 2007 年 10 月 28 日 (日) 18 時 0 分 0 秒 (日本時間)

9×10181-7

c119

name 名前Jo Yeong Uk
date 日付December 25, 2007 01:49:48 UTC 2007 年 12 月 25 日 (火) 10 時 49 分 48 秒 (日本時間)
composite number 合成数
15192002557240387749167059448579590970166470920242453316132075745911229316132758666921505340614262736034804889184448881<119>
prime factors 素因数
16940272774462961564775996098870506033529998386074873<53>
896797988999442350354441292775914106811664777578919757946243069497<66>
factorization results 素因数分解の結果
Number: 89993_181
N=15192002557240387749167059448579590970166470920242453316132075745911229316132758666921505340614262736034804889184448881
  ( 119 digits)
Divisors found:
 r1=16940272774462961564775996098870506033529998386074873 (pp53)
 r2=896797988999442350354441292775914106811664777578919757946243069497 (pp66)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 38.34 hours.
Scaled time: 82.16 units (timescale=2.143).
Factorization parameters were as follows:
name: 89993_181
n: 15192002557240387749167059448579590970166470920242453316132075745911229316132758666921505340614262736034804889184448881
skew: 98114.36
# norm 2.21e+16
c5: 31560
c4: -1924665624
c3: -412313060325580
c2: 47672706443648087839
c1: 1442560992222373548243522
c0: -146358796049818815151457984880
# alpha -6.24
Y1: 3744248581117
Y0: -54512483709568246234133
# Murphy_E 3.34e-10
# M 5312090155304946753032180946674168126337529924282533139667763695347823533748345268463219266442595271493810276031748175
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 75000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2250000, 4125001)
Primes: RFBsize:315948, AFBsize:316143, largePrimes:7687286 encountered
Relations: rels:7809081, finalFF:793940
Max relations in full relation-set: 28
Initial matrix: 632175 x 793940 with sparse part having weight 66592823.
Pruned matrix : 496253 x 499477 with weight 40203065.
Polynomial selection time: 2.37 hours.
Total sieving time: 34.05 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.57 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,75000
total time: 38.34 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2115k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407681)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Total of 4 processors activated (19246.11 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

9×10183-7

c140

name 名前Rich Dickerson
date 日付February 28, 2011 13:31:24 UTC 2011 年 2 月 28 日 (月) 22 時 31 分 24 秒 (日本時間)
composite number 合成数
32835412899030450500266983265190866427302148755429982740395350344295090094983380845448775024274956875936457641882633522074383141115656458417<140>
prime factors 素因数
2977363295566134355716987326447671187290847<43>
11028352820741991810400348173207780872206580956330420554196387180105586020050881417161266972915311<98>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=916485008
Step 1 took 40118ms
Step 2 took 15379ms
********** Factor found in step 2: 2977363295566134355716987326447671187290847
Found probable prime factor of 43 digits: 2977363295566134355716987326447671187290847
Probable prime cofactor 11028352820741991810400348173207780872206580956330420554196387180105586020050881417161266972915311 has 98 digits
software ソフトウェア
GMP-ECM 6.3 [config GMP 5.0.1] [ECM]
execution environment 実行環境
C2D, 3 GHz, Mac OS X

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 28, 2007 09:00:00 UTC 2007 年 10 月 28 日 (日) 18 時 0 分 0 秒 (日本時間)
351e660 / 489Rich DickersonFebruary 27, 2011 23:55:58 UTC 2011 年 2 月 28 日 (月) 8 時 55 分 58 秒 (日本時間)
403e6120 / 2320Rich DickersonFebruary 28, 2011 00:56:26 UTC 2011 年 2 月 28 日 (月) 9 時 56 分 26 秒 (日本時間)

9×10184-7

c97

name 名前Robert Backstrom
date 日付October 29, 2007 00:53:49 UTC 2007 年 10 月 29 日 (月) 9 時 53 分 49 秒 (日本時間)
composite number 合成数
4427921891591479845215021556692579780756319432292202349671112615670635805041615039103114621124351<97>
prime factors 素因数
593474640229445793717454630072648349617<39>
7461012807353624814862644671648910980191120545663272451503<58>
factorization results 素因数分解の結果
Number: n
N=4427921891591479845215021556692579780756319432292202349671112615670635805041615039103114621124351
  ( 97 digits)
Divisors found:
 r1=593474640229445793717454630072648349617 (pp39)
 r2=7461012807353624814862644671648910980191120545663272451503 (pp58)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 8.00 hours.
Scaled time: 11.63 units (timescale=1.453).
Factorization parameters were as follows:
name: n
n:  4427921891591479845215021556692579780756319432292202349671112615670635805041615039103114621124351
m:  13069795307958322129988
deg: 4
c4: 151748640
c3: 1255715867918
c2: -263120823138764827
c1: -4731771597968022768
c0: 240860015889048958069487
skew: 1635.250
type: gnfs
# adj. I(F,S) = 55.565
# E(F1,F2) = 2.428134e-05
# GGNFS version 0.77.1-20051202-athlon polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1193586766.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000

type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [100000, 1180001)
Primes: RFBsize:92938, AFBsize:92740, largePrimes:1863035 encountered
Relations: rels:1930390, finalFF:234741
Max relations in full relation-set: 28
Initial matrix: 185753 x 234741 with sparse part having weight 16859853.
Pruned matrix : 163671 x 164663 with weight 9437558.
Polynomial selection time: 0.17 hours.
Total sieving time: 7.24 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.44 hours.
Total square root time: 0.06 hours, sqrts: 2.
Prototype def-par.txt line would be:
gnfs,96,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 8.00 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

9×10185-7

c161

name 名前Jo Yeong Uk
date 日付October 15, 2014 12:32:12 UTC 2014 年 10 月 15 日 (水) 21 時 32 分 12 秒 (日本時間)
composite number 合成数
65772444856465808807283934006355288921931432657727339505353737175382113649741037396731062549018700778056695481545451578162650090619513880331586745522470891436419<161>
prime factors 素因数
511429239641393594286116552718821379525492217943216215358353<60>
128605171074271089706265876284348082856864372238484502708779354735407583514883437244255130318364103123<102>
factorization results 素因数分解の結果
Number: 89993_185
N=65772444856465808807283934006355288921931432657727339505353737175382113649741037396731062549018700778056695481545451578162650090619513880331586745522470891436419
  ( 161 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=511429239641393594286116552718821379525492217943216215358353
 r2=128605171074271089706265876284348082856864372238484502708779354735407583514883437244255130318364103123
Version: 
Total time: 65.90 hours.
Scaled time: 346.63 units (timescale=5.260).
Factorization parameters were as follows:
n: 65772444856465808807283934006355288921931432657727339505353737175382113649741037396731062549018700778056695481545451578162650090619513880331586745522470891436419
m: 10000000000000000000000000000000000000
deg: 5
c5: 9
c0: -7
skew: 0.95
# Murphy_E = 7.17e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 7100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19890035
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1726223 x 1726470
Total sieving time: 60.44 hours.
Total relation processing time: 1.50 hours.
Matrix solve time: 3.87 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 65.90 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.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 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
3025e4430Makoto KamadaOctober 28, 2007 09:00:00 UTC 2007 年 10 月 28 日 (日) 18 時 0 分 0 秒 (日本時間)
351e660Rich DickersonFebruary 28, 2011 13:54:03 UTC 2011 年 2 月 28 日 (月) 22 時 54 分 3 秒 (日本時間)
403e61120120Rich DickersonFebruary 28, 2011 15:20:29 UTC 2011 年 3 月 1 日 (火) 0 時 20 分 29 秒 (日本時間)
1000Dmitry DomanovJanuary 22, 2013 12:36:19 UTC 2013 年 1 月 22 日 (火) 21 時 36 分 19 秒 (日本時間)
4511e6980 / 4229380Rich DickersonFebruary 28, 2011 21:39:35 UTC 2011 年 3 月 1 日 (火) 6 時 39 分 35 秒 (日本時間)
600Dmitry DomanovMarch 20, 2014 09:26:41 UTC 2014 年 3 月 20 日 (木) 18 時 26 分 41 秒 (日本時間)

9×10186-7

c151

name 名前Rich Dickerson
date 日付February 28, 2011 14:24:55 UTC 2011 年 2 月 28 日 (月) 23 時 24 分 55 秒 (日本時間)
composite number 合成数
3961693980598668318737500679836097428055276513567176458865812339834375453300241739948921760843745804855090439295290718965470755460508233582042569585167<151>
prime factors 素因数
2455524626025464022288068323784527<34>
1613379861317499642941797679884392489924869887710630236149338813585946718446408151377883594843543655814671126354176321<118>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4163344250
Step 1 took 10835ms
Step 2 took 4911ms
********** Factor found in step 2: 2455524626025464022288068323784527
Found probable prime factor of 34 digits: 2455524626025464022288068323784527
Probable prime cofactor 1613379861317499642941797679884392489924869887710630236149338813585946718446408151377883594843543655814671126354176321 has 118 digits
software ソフトウェア
GMP-ECM 6.3 [config GMP 5.0.1] [ECM]
execution environment 実行環境
C2D, 3 GHaz, Mac OS X

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 28, 2007 09:00:00 UTC 2007 年 10 月 28 日 (日) 18 時 0 分 0 秒 (日本時間)
351e660 / 825Rich DickersonFebruary 28, 2011 13:53:49 UTC 2011 年 2 月 28 日 (月) 22 時 53 分 49 秒 (日本時間)

9×10187-7

c169

name 名前LegionMammal978
date 日付July 14, 2017 11:38:49 UTC 2017 年 7 月 14 日 (金) 20 時 38 分 49 秒 (日本時間)
composite number 合成数
3343738323808226309734283181609594738988436796428192170653997838558939179112241111697493865892133061704110118868545608111826466969785149784411127067128986618813864859967<169>
prime factors 素因数
353567687176836296397725275871337713846069593916198460906478598412494543249<75>
9457137756301415333768460326947672411400990031196972465095958693650838326356622936589160504783<94>
factorization results 素因数分解の結果
Fri Jul 14 01:11:56 2017  Msieve v. 1.53 (SVN Unversioned directory)
Fri Jul 14 01:11:56 2017  random seeds: 15142522 1452a002
Fri Jul 14 01:11:56 2017  factoring 3343738323808226309734283181609594738988436796428192170653997838558939179112241111697493865892133061704110118868545608111826466969785149784411127067128986618813864859967 (169 digits)
Fri Jul 14 01:11:57 2017  no P-1/P+1/ECM available, skipping
Fri Jul 14 01:11:57 2017  commencing number field sieve (169-digit input)
Fri Jul 14 01:11:57 2017  R0: -10000000000000000000000000000000000000
Fri Jul 14 01:11:57 2017  R1: 1
Fri Jul 14 01:11:57 2017  A0: -7
Fri Jul 14 01:11:57 2017  A1: 0
Fri Jul 14 01:11:57 2017  A2: 0
Fri Jul 14 01:11:57 2017  A3: 0
Fri Jul 14 01:11:57 2017  A4: 0
Fri Jul 14 01:11:57 2017  A5: 900
Fri Jul 14 01:11:57 2017  skew 0.38, size 3.026e-13, alpha 0.791, combined = 4.040e-11 rroots = 1
Fri Jul 14 01:11:57 2017  
Fri Jul 14 01:11:57 2017  commencing relation filtering
Fri Jul 14 01:11:57 2017  estimated available RAM is 15929.4 MB
Fri Jul 14 01:11:57 2017  commencing duplicate removal, pass 1
Fri Jul 14 01:14:39 2017  found 3398046 hash collisions in 22378551 relations
Fri Jul 14 01:14:58 2017  added 314 free relations
Fri Jul 14 01:14:58 2017  commencing duplicate removal, pass 2
Fri Jul 14 01:15:04 2017  found 3099100 duplicates and 19279765 unique relations
Fri Jul 14 01:15:04 2017  memory use: 106.6 MB
Fri Jul 14 01:15:04 2017  reading ideals above 720000
Fri Jul 14 01:15:04 2017  commencing singleton removal, initial pass
Fri Jul 14 01:17:03 2017  memory use: 689.0 MB
Fri Jul 14 01:17:03 2017  reading all ideals from disk
Fri Jul 14 01:17:04 2017  memory use: 615.8 MB
Fri Jul 14 01:17:04 2017  keeping 21430136 ideals with weight <= 200, target excess is 116045
Fri Jul 14 01:17:05 2017  commencing in-memory singleton removal
Fri Jul 14 01:17:06 2017  begin with 19279765 relations and 21430136 unique ideals
Fri Jul 14 01:17:14 2017  reduce to 7840816 relations and 7657198 ideals in 19 passes
Fri Jul 14 01:17:14 2017  max relations containing the same ideal: 110
Fri Jul 14 01:17:16 2017  removing 364803 relations and 340300 ideals in 24503 cliques
Fri Jul 14 01:17:16 2017  commencing in-memory singleton removal
Fri Jul 14 01:17:16 2017  begin with 7476013 relations and 7657198 unique ideals
Fri Jul 14 01:17:20 2017  reduce to 7460806 relations and 7301607 ideals in 10 passes
Fri Jul 14 01:17:20 2017  max relations containing the same ideal: 105
Fri Jul 14 01:17:22 2017  removing 262162 relations and 237659 ideals in 24503 cliques
Fri Jul 14 01:17:22 2017  commencing in-memory singleton removal
Fri Jul 14 01:17:22 2017  begin with 7198644 relations and 7301607 unique ideals
Fri Jul 14 01:17:25 2017  reduce to 7190502 relations and 7055771 ideals in 8 passes
Fri Jul 14 01:17:25 2017  max relations containing the same ideal: 104
Fri Jul 14 01:17:28 2017  relations with 0 large ideals: 2868
Fri Jul 14 01:17:28 2017  relations with 1 large ideals: 817
Fri Jul 14 01:17:28 2017  relations with 2 large ideals: 15558
Fri Jul 14 01:17:28 2017  relations with 3 large ideals: 125193
Fri Jul 14 01:17:28 2017  relations with 4 large ideals: 543112
Fri Jul 14 01:17:28 2017  relations with 5 large ideals: 1359518
Fri Jul 14 01:17:28 2017  relations with 6 large ideals: 2111680
Fri Jul 14 01:17:28 2017  relations with 7+ large ideals: 3031756
Fri Jul 14 01:17:28 2017  commencing 2-way merge
Fri Jul 14 01:17:31 2017  reduce to 4197647 relation sets and 4062916 unique ideals
Fri Jul 14 01:17:31 2017  commencing full merge
Fri Jul 14 01:18:13 2017  memory use: 491.1 MB
Fri Jul 14 01:18:13 2017  found 2148030 cycles, need 2135116
Fri Jul 14 01:18:14 2017  weight of 2135116 cycles is about 149742014 (70.13/cycle)
Fri Jul 14 01:18:14 2017  distribution of cycle lengths:
Fri Jul 14 01:18:14 2017  1 relations: 322570
Fri Jul 14 01:18:14 2017  2 relations: 280541
Fri Jul 14 01:18:14 2017  3 relations: 256396
Fri Jul 14 01:18:14 2017  4 relations: 219873
Fri Jul 14 01:18:14 2017  5 relations: 189011
Fri Jul 14 01:18:14 2017  6 relations: 154702
Fri Jul 14 01:18:14 2017  7 relations: 131188
Fri Jul 14 01:18:14 2017  8 relations: 107722
Fri Jul 14 01:18:14 2017  9 relations: 88370
Fri Jul 14 01:18:14 2017  10+ relations: 384743
Fri Jul 14 01:18:14 2017  heaviest cycle: 27 relations
Fri Jul 14 01:18:14 2017  commencing cycle optimization
Fri Jul 14 01:18:16 2017  start with 12287597 relations
Fri Jul 14 01:18:27 2017  pruned 261253 relations
Fri Jul 14 01:18:27 2017  memory use: 413.7 MB
Fri Jul 14 01:18:27 2017  distribution of cycle lengths:
Fri Jul 14 01:18:27 2017  1 relations: 322570
Fri Jul 14 01:18:27 2017  2 relations: 286296
Fri Jul 14 01:18:27 2017  3 relations: 264680
Fri Jul 14 01:18:27 2017  4 relations: 223455
Fri Jul 14 01:18:27 2017  5 relations: 192301
Fri Jul 14 01:18:27 2017  6 relations: 155540
Fri Jul 14 01:18:27 2017  7 relations: 131036
Fri Jul 14 01:18:27 2017  8 relations: 106470
Fri Jul 14 01:18:27 2017  9 relations: 86885
Fri Jul 14 01:18:27 2017  10+ relations: 365883
Fri Jul 14 01:18:27 2017  heaviest cycle: 26 relations
Fri Jul 14 01:18:29 2017  RelProcTime: 392
Fri Jul 14 01:18:30 2017  elapsed time 00:06:34
Fri Jul 14 01:18:30 2017 LatSieveTime: 1229.26
Fri Jul 14 01:18:30 2017 -> Running matrix solving step ...
Fri Jul 14 01:18:30 2017 -> ./msieve -s 89993_187/89993_187.dat -l 89993_187/89993_187.log -i 89993_187/89993_187.ini -nf 89993_187/89993_187.fb -t 4 -nc2
Fri Jul 14 01:18:30 2017  
Fri Jul 14 01:18:30 2017  
Fri Jul 14 01:18:30 2017  Msieve v. 1.53 (SVN Unversioned directory)
Fri Jul 14 01:18:30 2017  random seeds: becb5bb2 96fd2107
Fri Jul 14 01:18:30 2017  factoring 3343738323808226309734283181609594738988436796428192170653997838558939179112241111697493865892133061704110118868545608111826466969785149784411127067128986618813864859967 (169 digits)
Fri Jul 14 01:18:31 2017  no P-1/P+1/ECM available, skipping
Fri Jul 14 01:18:31 2017  commencing number field sieve (169-digit input)
Fri Jul 14 01:18:31 2017  R0: -10000000000000000000000000000000000000
Fri Jul 14 01:18:31 2017  R1: 1
Fri Jul 14 01:18:31 2017  A0: -7
Fri Jul 14 01:18:31 2017  A1: 0
Fri Jul 14 01:18:31 2017  A2: 0
Fri Jul 14 01:18:31 2017  A3: 0
Fri Jul 14 01:18:31 2017  A4: 0
Fri Jul 14 01:18:31 2017  A5: 900
Fri Jul 14 01:18:31 2017  skew 0.38, size 3.026e-13, alpha 0.791, combined = 4.040e-11 rroots = 1
Fri Jul 14 01:18:31 2017  
Fri Jul 14 01:18:31 2017  commencing linear algebra
Fri Jul 14 01:18:31 2017  read 2135116 cycles
Fri Jul 14 01:18:33 2017  cycles contain 7023919 unique relations
Fri Jul 14 01:19:07 2017  read 7023919 relations
Fri Jul 14 01:19:11 2017  using 20 quadratic characters above 4294917295
Fri Jul 14 01:19:38 2017  building initial matrix
Fri Jul 14 01:20:17 2017  memory use: 838.4 MB
Fri Jul 14 01:20:17 2017  read 2135116 cycles
Fri Jul 14 01:20:18 2017  matrix is 2134937 x 2135116 (641.6 MB) with weight 185913436 (87.07/col)
Fri Jul 14 01:20:18 2017  sparse part has weight 144701915 (67.77/col)
Fri Jul 14 01:20:29 2017  filtering completed in 2 passes
Fri Jul 14 01:20:30 2017  matrix is 2132287 x 2132465 (641.4 MB) with weight 185826697 (87.14/col)
Fri Jul 14 01:20:30 2017  sparse part has weight 144670060 (67.84/col)
Fri Jul 14 01:20:34 2017  matrix starts at (0, 0)
Fri Jul 14 01:20:34 2017  matrix is 2132287 x 2132465 (641.4 MB) with weight 185826697 (87.14/col)
Fri Jul 14 01:20:34 2017  sparse part has weight 144670060 (67.84/col)
Fri Jul 14 01:20:34 2017  saving the first 48 matrix rows for later
Fri Jul 14 01:20:34 2017  matrix includes 64 packed rows
Fri Jul 14 01:20:35 2017  matrix is 2132239 x 2132465 (608.0 MB) with weight 149750505 (70.22/col)
Fri Jul 14 01:20:35 2017  sparse part has weight 138052562 (64.74/col)
Fri Jul 14 01:20:35 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Fri Jul 14 01:20:39 2017  commencing Lanczos iteration (4 threads)
Fri Jul 14 01:20:39 2017  memory use: 489.4 MB
Fri Jul 14 01:20:45 2017  linear algebra at 0.1%, ETA 1h57m
Fri Jul 14 01:20:47 2017  checkpointing every 1050000 dimensions
Fri Jul 14 03:30:32 2017  lanczos halted after 33720 iterations (dim = 2132237)
Fri Jul 14 03:30:33 2017  recovered 39 nontrivial dependencies
Fri Jul 14 03:30:33 2017  BLanczosTime: 7922
Fri Jul 14 03:30:33 2017  elapsed time 02:12:03
Fri Jul 14 03:30:33 2017 -> Running square root step ...
Fri Jul 14 03:30:33 2017 -> ./msieve -s 89993_187/89993_187.dat -l 89993_187/89993_187.log -i 89993_187/89993_187.ini -nf 89993_187/89993_187.fb -t 4 -nc3
Fri Jul 14 03:30:33 2017  
Fri Jul 14 03:30:33 2017  
Fri Jul 14 03:30:33 2017  Msieve v. 1.53 (SVN Unversioned directory)
Fri Jul 14 03:30:33 2017  random seeds: c8f826dc e17dea17
Fri Jul 14 03:30:33 2017  factoring 3343738323808226309734283181609594738988436796428192170653997838558939179112241111697493865892133061704110118868545608111826466969785149784411127067128986618813864859967 (169 digits)
Fri Jul 14 03:30:34 2017  no P-1/P+1/ECM available, skipping
Fri Jul 14 03:30:34 2017  commencing number field sieve (169-digit input)
Fri Jul 14 03:30:34 2017  R0: -10000000000000000000000000000000000000
Fri Jul 14 03:30:34 2017  R1: 1
Fri Jul 14 03:30:34 2017  A0: -7
Fri Jul 14 03:30:34 2017  A1: 0
Fri Jul 14 03:30:34 2017  A2: 0
Fri Jul 14 03:30:34 2017  A3: 0
Fri Jul 14 03:30:34 2017  A4: 0
Fri Jul 14 03:30:34 2017  A5: 900
Fri Jul 14 03:30:34 2017  skew 0.38, size 3.026e-13, alpha 0.791, combined = 4.040e-11 rroots = 1
Fri Jul 14 03:30:34 2017  
Fri Jul 14 03:30:34 2017  commencing square root phase
Fri Jul 14 03:30:34 2017  reading relations for dependency 1
Fri Jul 14 03:30:34 2017  read 1066983 cycles
Fri Jul 14 03:30:35 2017  cycles contain 3514238 unique relations
Fri Jul 14 03:30:53 2017  read 3514238 relations
Fri Jul 14 03:31:03 2017  multiplying 3514238 relations
Fri Jul 14 03:32:45 2017  multiply complete, coefficients have about 111.38 million bits
Fri Jul 14 03:32:46 2017  initial square root is modulo 98747281
Fri Jul 14 03:35:01 2017  sqrtTime: 267
Fri Jul 14 03:35:01 2017  p75 factor: 353567687176836296397725275871337713846069593916198460906478598412494543249
Fri Jul 14 03:35:01 2017  p94 factor: 9457137756301415333768460326947672411400990031196972465095958693650838326356622936589160504783
Fri Jul 14 03:35:01 2017  elapsed time 00:04:28
software ソフトウェア
Msieve 1.53 snfs
execution environment 実行環境
Core i7-2600K 3.4GHz, Ubuntu 16.04.2 LTS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 28, 2007 09:00:00 UTC 2007 年 10 月 28 日 (日) 18 時 0 分 0 秒 (日本時間)
351e660Rich DickersonFebruary 28, 2011 15:20:19 UTC 2011 年 3 月 1 日 (火) 0 時 20 分 19 秒 (日本時間)
403e6120Rich DickersonFebruary 28, 2011 16:00:13 UTC 2011 年 3 月 1 日 (火) 1 時 0 分 13 秒 (日本時間)
4511e6700 / 3439Rich DickersonMarch 1, 2011 12:39:28 UTC 2011 年 3 月 1 日 (火) 21 時 39 分 28 秒 (日本時間)
5043e6288 / 7391Rich DickersonMarch 3, 2011 12:58:07 UTC 2011 年 3 月 3 日 (木) 21 時 58 分 7 秒 (日本時間)

9×10188-7

c183

name 名前matsui
date 日付July 29, 2009 07:05:14 UTC 2009 年 7 月 29 日 (水) 16 時 5 分 14 秒 (日本時間)
composite number 合成数
134537373062119941263972640479814087288744558523832025007208960906578593519394533985710038177221895927568666006636280155244169636080890446067629545662806590118887686855594011651833423<183>
prime factors 素因数
2889983980206166400633343347830421444067318005274107662508507<61>
46552982294567003262611165131940242875979617104663519183548141215584144647077930746442394215984131576858766423362881560989<122>
factorization results 素因数分解の結果
N=134537373062119941263972640479814087288744558523832025007208960906578593519394533985710038177221895927568666006636280155244169636080890446067629545662806590118887686855594011651833423
  ( 183 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=2889983980206166400633343347830421444067318005274107662508507 (pp61)
 r2=46552982294567003262611165131940242875979617104663519183548141215584144647077930746442394215984131576858766423362881560989 (pp122)
Version: Msieve v. 1.42
Total time: 288.28 hours.
Scaled time: 646.03 units (timescale=2.241).
Factorization parameters were as follows:
n: 134537373062119941263972640479814087288744558523832025007208960906578593519394533985710038177221895927568666006636280155244169636080890446067629545662806590118887686855594011651833423
m: 50000000000000000000000000000000000000
deg: 5
c5: 72
c0: -175
skew: 1.19
type: snfs
lss: 1
rlim: 10400000
alim: 10400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 100000


Factor base limits: 10400000/10400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5200000, 9700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2068834 x 2069058
Total sieving time: 279.68 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 7.81 hours.
Time per square root: 0.62 hours.
Prototype def-par.txt line would be:
snfs,190.000,5,0,0,0,0,0,0,0,0,10400000,10400000,28,28,54,54,2.5,2.5,100000
total time: 288.28 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 28, 2007 09:00:00 UTC 2007 年 10 月 28 日 (日) 18 時 0 分 0 秒 (日本時間)

9×10189-7

c180

name 名前matsui
date 日付June 28, 2010 06:25:08 UTC 2010 年 6 月 28 日 (月) 15 時 25 分 8 秒 (日本時間)
composite number 合成数
411259822790471918004079227417799567782806178162769769547254969071335944752814373397119667265111504423138897902281296241995927155334650140341361245146839754702037020080549141434009<180>
prime factors 素因数
4417356837034719126053932314339876647693<40>
2521535447519712965500829712864415465809253<43>
36922297982483569405858068032116807465473204184283136830835962230083619343236636136201293780492921<98>
factorization results 素因数分解の結果
Number: 89993_189
N=411259822790471918004079227417799567782806178162769769547254969071335944752814373397119667265111504423138897902281296241995927155334650140341361245146839754702037020080549141434009
  ( 180 digits)
SNFS difficulty: 189 digits.
Divisors found:
 r1=4417356837034719126053932314339876647693 (pp40)
 r2=2521535447519712965500829712864415465809253 (pp43)
 r3=36922297982483569405858068032116807465473204184283136830835962230083619343236636136201293780492921 (pp98)
Version: Msieve v. 1.46
Total time:
Scaled time: 132.50 units (timescale=1.847).
Factorization parameters were as follows:
n: 411259822790471918004079227417799567782806178162769769547254969071335944752814373397119667265111504423138897902281296241995927155334650140341361245146839754702037020080549141434009
m: 10000000000000000000000000000000000000
deg: 5
c5: 90000
c0: -7
skew: 0.15
type: snfs
lss: 1
rlim: 10300000
alim: 10300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 1600000
Factor base limits: 10300000/10300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5150000, 19550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1884142 x 1884367
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,189.000,5,0,0,0,0,0,0,0,0,10300000,10300000,28,28,54,54,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 28, 2007 09:00:00 UTC 2007 年 10 月 28 日 (日) 18 時 0 分 0 秒 (日本時間)

9×10190-7

c177

name 名前Kenji Ibusuki
date 日付March 29, 2018 14:04:09 UTC 2018 年 3 月 29 日 (木) 23 時 4 分 9 秒 (日本時間)
composite number 合成数
176403840153881759609559955102438344341376075284535204030596728681780730140687405582158730154754883196409002206632758332772132267360216679041784512978555144619347327706077073349<177>
prime factors 素因数
460700651766474898382043837818032330300809931640616466179041587072833751773017369<81>
382903387432799448414203860928239815011297816502034521950062446735854912628115242060075120769421<96>
factorization results 素因数分解の結果
Number: 89993_190
N=176403840153881759609559955102438344341376075284535204030596728681780730140687405582158730154754883196409002206632758332772132267360216679041784512978555144619347327706077073349
  ( 177 digits)
SNFS difficulty: 190 digits.
Divisors found: (Total dependency: 3)
 r1=460700651766474898382043837818032330300809931640616466179041587072833751773017369 (pp81)
 r2=382903387432799448414203860928239815011297816502034521950062446735854912628115242060075120769421 (pp96)
Msieve version: Msieve v. 1.49 (SVN unknown)
GGNFS version: GGNFS-0.77.1-VC8(UTE)
Total time: 331.69 hours (16.76 calendar hours).
Scaled time: 1487.29 units (timescale=4.484).
Factorization parameters were as follows:
n: 176403840153881759609559955102438344341376075284535204030596728681780730140687405582158730154754883196409002206632758332772132267360216679041784512978555144619347327706077073349
m: 100000000000000000000000000000000000000
deg: 5
c5: 9
c0: -7
skew: 0.95
# Murphy_E = 4.474e-11
type: snfs
lss: 1
rlim: 10700000
alim: 10700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
relslim: 30300000
qintsize: 5000

Polynomial score was as follows:
skew 0.95, size 3.801e-013, alpha 1.137, combined = 4.474e-011 rroots = 1
Factor base limits: 10700000/10700000
Large primes per side: 3
Large prime bits: 28/28
Sieved special-q in [5350000, 23020001)
Relations: raw-rels:30528508 rels:26383429, finalFF:1518480
Pruned matrix : 1517930 x 1518155
Total sieving time: 322.20 hours (15.19 calendar hours).
Total relation processing time: 0.12 hours.
Total matrix build processing time: 0.03 hours.
Matrix pruned processing time: (N/A)
Matrix solve time: 9.23 hours (1.32 calendar hours).
Total time of square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,10700000,10700000,28,28,54,54,2.5,2.5,100000
total time: 331.69 hours (16.76 calendar hours).
 --------- CPU info (if available) ----------
software ソフトウェア
Msieve v. 1.49 (SVN unknown) + GGNFS-0.77.1-VC8 with 
factMsieve.pl (decomposed + modified) snfs
(without procrels.exe, matbuild.exe for "finalFF" calculation)
execution environment 実行環境
[Envilonment]
  PC #1   (Master) --- Intel Core i7 2600, 16GB RAM, Windows 7 64bit
  PC #2,3 (Slave)  --- Intel Core i7 4770, 16GB RAM, Windows 7 64bit
  PC #4   (Slave)  --- Intel Core 2 Quad Q6600, 4GB RAM, Windows Vista 32bit

[Threads used]
  (Sieving)
    PC #1   --- 7 threads used
    PC #2,3 --- 7 threads used x 2
    PC #4   --- 4 threads used
  (Relation processing and Matrix build processing)
    PC #1   --- 1 thread used
  (Matrix solve)
    PC #1   --- 7 threads used
  (Square root processing)
    PC #1   --- 1 thread used

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 28, 2007 09:00:00 UTC 2007 年 10 月 28 日 (日) 18 時 0 分 0 秒 (日本時間)
351e660Rich DickersonMarch 1, 2011 13:40:46 UTC 2011 年 3 月 1 日 (火) 22 時 40 分 46 秒 (日本時間)
403e61120120Rich DickersonMarch 1, 2011 20:57:29 UTC 2011 年 3 月 2 日 (水) 5 時 57 分 29 秒 (日本時間)
1000Dmitry DomanovJanuary 22, 2013 12:36:37 UTC 2013 年 1 月 22 日 (火) 21 時 36 分 37 秒 (日本時間)
4511e6940 / 4193340Rich DickersonMarch 1, 2011 21:12:34 UTC 2011 年 3 月 2 日 (水) 6 時 12 分 34 秒 (日本時間)
600Dmitry DomanovMarch 20, 2014 09:28:01 UTC 2014 年 3 月 20 日 (木) 18 時 28 分 1 秒 (日本時間)
5043e610 / 7300Dmitry DomanovJanuary 24, 2013 14:41:53 UTC 2013 年 1 月 24 日 (木) 23 時 41 分 53 秒 (日本時間)

9×10193-7

c167

name 名前Rich Dickerson
date 日付March 1, 2011 20:12:03 UTC 2011 年 3 月 2 日 (水) 5 時 12 分 3 秒 (日本時間)
composite number 合成数
56669008740959157526815449024142813278240603292475602691821245346424882327611994952635903478655807118221136318638892492073419584764919733029259187281007925636994402249<167>
prime factors 素因数
25313282195995488001015974270922753793617<41>
2238706474418559773565349675671260600341989139293305774021353476716466289221789053537675178434163005204076311296379271668194297<127>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1287001053
Step 1 took 48150ms
Step 2 took 17845ms
********** Factor found in step 2: 25313282195995488001015974270922753793617
Found probable prime factor of 41 digits: 25313282195995488001015974270922753793617
Probable prime cofactor 2238706474418559773565349675671260600341989139293305774021353476716466289221789053537675178434163005204076311296379271668194297 has 127 digits
software ソフトウェア
GMP-ECM 6.3 [config GMP 5.0.1] [ECM]
execution environment 実行環境
C2D, 3 GHz, Mac OS X

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 28, 2007 09:00:00 UTC 2007 年 10 月 28 日 (日) 18 時 0 分 0 秒 (日本時間)
351e660 / 489Rich DickersonMarch 1, 2011 13:40:39 UTC 2011 年 3 月 1 日 (火) 22 時 40 分 39 秒 (日本時間)
403e6120 / 2320Rich DickersonMarch 1, 2011 13:56:31 UTC 2011 年 3 月 1 日 (火) 22 時 56 分 31 秒 (日本時間)

9×10195-7

c173

name 名前matsui
date 日付October 21, 2008 05:14:39 UTC 2008 年 10 月 21 日 (火) 14 時 14 分 39 秒 (日本時間)
composite number 合成数
32766632766919078662825942812534767317385600913749182215022623020157389542005326478182856310139863849914763447191777621051072856816588852757981045807466834521306007851991891<173>
prime factors 素因数
461827684596426570878380861037770727<36>
composite cofactor 合成数の残り
70949910236655858413737617479417459261252133160753837106470160640665889525424116417039764845206841627192033768547036282598220368986487733<137>
factorization results 素因数分解の結果
32766632766919078662825942812534767317385600913749182215022623020157389542005326478182856310139863849914763447191777621051072856816588852757981045807466834521306007851991891
=
461827684596426570878380861037770727* 70949910236655858413737617479417459261252133160753837106470160640665889525424116417039764845206841627192033768547036282598220368986487733

c137

name 名前Wataru Sakai
date 日付August 17, 2009 00:46:49 UTC 2009 年 8 月 17 日 (月) 9 時 46 分 49 秒 (日本時間)
composite number 合成数
70949910236655858413737617479417459261252133160753837106470160640665889525424116417039764845206841627192033768547036282598220368986487733<137>
prime factors 素因数
90273726781308008410859820613528673953162767949<47>
785941965246821725517634354985618196758423193048763238517231673375963788322474444838897417<90>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1202030130
Step 1 took 156685ms
Step 2 took 47668ms
********** Factor found in step 2: 90273726781308008410859820613528673953162767949
Found probable prime factor of 47 digits: 90273726781308008410859820613528673953162767949
Probable prime cofactor 785941965246821725517634354985618196758423193048763238517231673375963788322474444838897417 has 90 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 28, 2007 09:00:00 UTC 2007 年 10 月 28 日 (日) 18 時 0 分 0 秒 (日本時間)
351e61212Max DettweilerApril 7, 2009 07:11:02 UTC 2009 年 4 月 7 日 (火) 16 時 11 分 2 秒 (日本時間)
403e61219 / 2005Max DettweilerApril 7, 2009 07:11:02 UTC 2009 年 4 月 7 日 (火) 16 時 11 分 2 秒 (日本時間)

9×10196-7

c135

name 名前Robert Backstrom
date 日付February 7, 2008 08:30:52 UTC 2008 年 2 月 7 日 (木) 17 時 30 分 52 秒 (日本時間)
composite number 合成数
286164158003365222385499918785425275051593624130476891133017444079184854884366743304708021907044491511841068872263673676003791789994929<135>
prime factors 素因数
23222917624869682986808856353387<32>
12322489474660531695741954992123566822217378113251020935855509359836204616518712285683147287205008714067<104>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM]
Input number is 286164158003365222385499918785425275051593624130476891133017444079184854884366743304708021907044491511841068872263673676003791789994929 (135 digits)
Using B1=696000, B2=696689082, polynomial Dickson(3), sigma=3337125325
Step 1 took 6857ms
Step 2 took 3417ms
********** Factor found in step 2: 23222917624869682986808856353387
Found probable prime factor of 32 digits: 23222917624869682986808856353387
Probable prime cofactor 12322489474660531695741954992123566822217378113251020935855509359836204616518712285683147287205008714067 has 104 digits

9×10197-7

c198

name 名前Jo Yeong Uk
date 日付October 29, 2007 05:55:35 UTC 2007 年 10 月 29 日 (月) 14 時 55 分 35 秒 (日本時間)
composite number 合成数
899999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993<198>
prime factors 素因数
104572749495411191273052631155941<33>
composite cofactor 合成数の残り
8606448662225270711938618675616267002791985751466136050473524371365139986511632740091624538638242280156899111248894398265050813422371895877062117828590480106511274373<166>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 899999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993 (198 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2707934202
Step 1 took 10607ms
Step 2 took 5595ms
********** Factor found in step 2: 104572749495411191273052631155941
Found probable prime factor of 33 digits: 104572749495411191273052631155941
Composite cofactor 8606448662225270711938618675616267002791985751466136050473524371365139986511632740091624538638242280156899111248894398265050813422371895877062117828590480106511274373 has 166 digits
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 28, 2007 09:00:00 UTC 2007 年 10 月 28 日 (日) 18 時 0 分 0 秒 (日本時間)
351e650Rich DickersonMarch 1, 2011 20:14:28 UTC 2011 年 3 月 2 日 (水) 5 時 14 分 28 秒 (日本時間)
403e6120Rich DickersonMarch 1, 2011 21:14:58 UTC 2011 年 3 月 2 日 (水) 6 時 14 分 58 秒 (日本時間)
4511e61700 / 4450700Rich DickersonMarch 2, 2011 16:01:20 UTC 2011 年 3 月 3 日 (木) 1 時 1 分 20 秒 (日本時間)
1000Dmitry DomanovMarch 20, 2014 09:28:26 UTC 2014 年 3 月 20 日 (木) 18 時 28 分 26 秒 (日本時間)

9×10198-7

c152

name 名前Rich Dickerson
date 日付March 2, 2011 17:17:35 UTC 2011 年 3 月 3 日 (木) 2 時 17 分 35 秒 (日本時間)
composite number 合成数
10969632145496861287153261615923646980173511231913983048228879508892914266469855145979374258961472948228284385344010333237450217324757971809914801075301<152>
prime factors 素因数
4417115504705009301556717078603793892803<40>
composite cofactor 合成数の残り
2483437920926510246190156464302342674575492403300036657484329927885605335671837562855819049580476606192892752567<112>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3970191681
Step 1 took 41357ms
Step 2 took 15867ms
********** Factor found in step 2: 4417115504705009301556717078603793892803
Found probable prime factor of 40 digits: 4417115504705009301556717078603793892803
Composite cofactor 2483437920926510246190156464302342674575492403300036657484329927885605335671837562855819049580476606192892752567 has 112 digits
software ソフトウェア
GMP-ECM 6.3 [config GMP 5.0.1] [ECM]
execution environment 実行環境
C2D, 3 GHz, Mac OS X

c112

name 名前Dmitry Domanov
date 日付March 4, 2011 11:41:25 UTC 2011 年 3 月 4 日 (金) 20 時 41 分 25 秒 (日本時間)
composite number 合成数
2483437920926510246190156464302342674575492403300036657484329927885605335671837562855819049580476606192892752567<112>
prime factors 素因数
50211444026482936981708622911020529833217<41>
49459599680436889739968648765959533378468882314170304438562372871450551<71>
factorization results 素因数分解の結果
Number: t112
N=2483437920926510246190156464302342674575492403300036657484329927885605335671837562855819049580476606192892752567
  ( 112 digits)
Divisors found:
 r1=50211444026482936981708622911020529833217 (pp41)
 r2=49459599680436889739968648765959533378468882314170304438562372871450551 (pp71)
Version: Msieve-1.40
Total time: 19.57 hours.
Scaled time: 37.60 units (timescale=1.922).
Factorization parameters were as follows:
name: t112
n: 2483437920926510246190156464302342674575492403300036657484329927885605335671837562855819049580476606192892752567
skew: 36167.08
# norm 7.96e+014
c5: 7560
c4: 772108278
c3: -43862678341392
c2: -848528588443961395
c1: 21024163861226675974484
c0: 127307435612461834302784065
# alpha -5.07
Y1: 466854083447
Y0: -3186434553360950356556
# Murphy_E 8.19e-010
# M 546943193739510255942621364049189216260062455086998689299145143003418212179409047985822817418159708247059392020
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 460406 x 460631
Polynomial selection time: 1.84 hours.
Total sieving time: 16.64 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.83 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 19.57 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
3025e4430Makoto KamadaOctober 28, 2007 09:00:00 UTC 2007 年 10 月 28 日 (日) 18 時 0 分 0 秒 (日本時間)
351e660 / 489Rich DickersonMarch 2, 2011 16:12:50 UTC 2011 年 3 月 3 日 (木) 1 時 12 分 50 秒 (日本時間)
403e6120 / 2320Rich DickersonMarch 2, 2011 17:16:43 UTC 2011 年 3 月 3 日 (木) 2 時 16 分 43 秒 (日本時間)

9×10199-7

c144

name 名前Serge Batalov
date 日付July 13, 2008 05:48:24 UTC 2008 年 7 月 13 日 (日) 14 時 48 分 24 秒 (日本時間)
composite number 合成数
230915098166026010901651380342573009063542875615021569286553025983460713543787079126478897987182555266436987198902911139921451076555637496269533<144>
prime factors 素因数
19620579832179617602901623499857<32>
composite cofactor 合成数の残り
11769025183817619952672417054651487669578574210254607906854183871505045045861473013946425938221361597450232344269<113>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3694671248
Step 1 took 18558ms
Step 2 took 7575ms
********** Factor found in step 2: 19620579832179617602901623499857
Found probable prime factor of 32 digits: 19620579832179617602901623499857
Composite cofactor 11769025183817619952672417054651487669578574210254607906854183871505045045861473013946425938221361597450232344269 has 113 digits
software ソフトウェア
GMP-ECM 6.2.1

c113

name 名前Serge Batalov
date 日付July 16, 2008 18:25:21 UTC 2008 年 7 月 17 日 (木) 3 時 25 分 21 秒 (日本時間)
composite number 合成数
11769025183817619952672417054651487669578574210254607906854183871505045045861473013946425938221361597450232344269<113>
prime factors 素因数
6427503805579223317744356595461437807<37>
1831041340434809452833718361805463604259680227651236173580827772015915361667<76>
factorization results 素因数分解の結果
Number: 89993_199
N=11769025183817619952672417054651487669578574210254607906854183871505045045861473013946425938221361597450232344269
  ( 113 digits)
Divisors found:
 r1=6427503805579223317744356595461437807
 r2=1831041340434809452833718361805463604259680227651236173580827772015915361667
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.951).
Factorization parameters were as follows:
name: 89993_199
n: 11769025183817619952672417054651487669578574210254607906854183871505045045861473013946425938221361597450232344269
skew: 53840.95
# norm 3.64e+15
c5: 8880
c4: -1129742670
c3: -155660144868577
c2: 2381642608767554524
c1: 137513208798163850234032
c0: -2172126232263059673608813344
# alpha -6.03
Y1: 231688360871
Y0: -4211784220495418937693
# Murphy_E 7.67e-10
# M 7420350881970755408277194183514819226857195980988978384894736154280999709633602187020363784915146259202193086546
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 3650001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: 7928000 relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 463893 x 464136
Total sieving time: 11.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.75 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000

total time: 12.00 hours.
software ソフトウェア
pol51+Msieve 1.36
execution environment 実行環境
Opteron-2.8GHz; Linux x86_64

9×10200-7

c145

composite cofactor 合成数の残り
1122732608518762476374614505481387192958275303309849940639416663427230442915171109823328710206190083208884656767163349677285432835989907899987039<145>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 28, 2007 09:00:00 UTC 2007 年 10 月 28 日 (日) 18 時 0 分 0 秒 (日本時間)
351e660Rich DickersonMarch 2, 2011 16:12:41 UTC 2011 年 3 月 3 日 (木) 1 時 12 分 41 秒 (日本時間)
403e60--
4511e61700 / 3775700Rich DickersonMarch 3, 2011 12:57:15 UTC 2011 年 3 月 3 日 (木) 21 時 57 分 15 秒 (日本時間)
1000Dmitry DomanovMay 16, 2013 16:20:19 UTC 2013 年 5 月 17 日 (金) 1 時 20 分 19 秒 (日本時間)
5043e6200 / 7171Dmitry DomanovSeptember 8, 2014 10:41:40 UTC 2014 年 9 月 8 日 (月) 19 時 41 分 40 秒 (日本時間)

9×10201-7

c201

name 名前Serge Batalov
date 日付January 20, 2013 20:44:55 UTC 2013 年 1 月 21 日 (月) 5 時 44 分 55 秒 (日本時間)
composite number 合成数
391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391<201>
prime factors 素因数
18473551492149938551253025419884040839<38>
21181869008369393932549895281176206440602071314901233547773826044115463753440350314470194147359203649884780565101875411593097870658027727125274244341497672422820569<164>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1318125982
Step 1 took 18209ms
Step 2 took 7092ms
********** Factor found in step 2: 18473551492149938551253025419884040839
Found probable prime factor of 38 digits: 18473551492149938551253025419884040839
Probable prime cofactor 211818690083... has 164 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 19, 2013 17:00:00 UTC 2013 年 1 月 20 日 (日) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 20, 2013 07:48:00 UTC 2013 年 1 月 20 日 (日) 16 時 48 分 0 秒 (日本時間)

9×10203-7

c167

composite cofactor 合成数の残り
26461534097515058289539821953524236035022090868195486420965197585133930634624589140758059549286665148173065859349850220595143300972763042587322986724388195503663746629<167>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 19, 2013 17:00:00 UTC 2013 年 1 月 20 日 (日) 2 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 22, 2013 12:37:03 UTC 2013 年 1 月 22 日 (火) 21 時 37 分 3 秒 (日本時間)
4511e61400 / 3552400Dmitry DomanovJanuary 24, 2013 14:42:32 UTC 2013 年 1 月 24 日 (木) 23 時 42 分 32 秒 (日本時間)
1000Dmitry DomanovMarch 20, 2014 09:28:56 UTC 2014 年 3 月 20 日 (木) 18 時 28 分 56 秒 (日本時間)
5043e6200 / 7201Dmitry DomanovSeptember 8, 2014 10:41:26 UTC 2014 年 9 月 8 日 (月) 19 時 41 分 26 秒 (日本時間)

9×10204-7

c165

name 名前Serge Batalov
date 日付January 20, 2013 01:45:50 UTC 2013 年 1 月 20 日 (日) 10 時 45 分 50 秒 (日本時間)
composite number 合成数
399008024177239605282607358474989277871145383272691995547029020165852291616834741397515662975350132678950016006331831531316296878540427146201268716056753664711481181<165>
prime factors 素因数
2053558833372212002058214069709<31>
194300751306947597754669850807502619790461622467210252600373615313385133534873580749349428852405670208521593826794916118650290102368209<135>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=260029717
Step 1 took 12392ms
Step 2 took 10649ms
********** Factor found in step 2: 2053558833372212002058214069709
Found probable prime factor of 31 digits: 2053558833372212002058214069709
Probable prime cofactor 194300751306947597754669850807502619790461622467210252600373615313385133534873580749349428852405670208521593826794916118650290102368209 has 135 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 19, 2013 17:00:00 UTC 2013 年 1 月 20 日 (日) 2 時 0 分 0 秒 (日本時間)

9×10205-7

c190

composite cofactor 合成数の残り
3389886390194904067204124348188154561829717435879979103042986801582603595126593496172982747818084466261340394932384484668002591923591839489445018073808076211048508668701005148271633371216487<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 19, 2013 17:00:00 UTC 2013 年 1 月 20 日 (日) 2 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 22, 2013 12:37:12 UTC 2013 年 1 月 22 日 (火) 21 時 37 分 12 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJanuary 28, 2013 08:51:37 UTC 2013 年 1 月 28 日 (月) 17 時 51 分 37 秒 (日本時間)

9×10206-7

c202

name 名前Serge Batalov
date 日付December 15, 2014 04:44:28 UTC 2014 年 12 月 15 日 (月) 13 時 44 分 28 秒 (日本時間)
composite number 合成数
1543101393763469989249726956781159074893568867757925111574803554619788389362201902815474220776660077052196261922601463203032708605876473018872130045727237968524160681433575485948347252679424114559847473<202>
prime factors 素因数
37686926380823333777918743310476873583491907229979313936382475630190942709927412913260003240096639<98>
40945270467815697869802124945169170798638693085688843670705022093262292444277082489807139091402929789007<104>
factorization results 素因数分解の結果
RelProcTime: 2261
matrix is 2030212 x 2030389 (913.2 MB) with weight 265091757 (130.56/col)
BLanczosTime: 7532
sqrtTime: 2251
prp98 factor: 37686926380823333777918743310476873583491907229979313936382475630190942709927412913260003240096639
prp104 factor: 40945270467815697869802124945169170798638693085688843670705022093262292444277082489807139091402929789007

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 19, 2013 17:00:00 UTC 2013 年 1 月 20 日 (日) 2 時 0 分 0 秒 (日本時間)
403e61300300Serge BatalovJanuary 20, 2013 07:47:41 UTC 2013 年 1 月 20 日 (日) 16 時 47 分 41 秒 (日本時間)
1000Dmitry DomanovJanuary 22, 2013 12:37:21 UTC 2013 年 1 月 22 日 (火) 21 時 37 分 21 秒 (日本時間)
4511e650501000Dmitry DomanovJanuary 28, 2013 08:51:45 UTC 2013 年 1 月 28 日 (月) 17 時 51 分 45 秒 (日本時間)
1000Dmitry DomanovJanuary 28, 2013 08:51:51 UTC 2013 年 1 月 28 日 (月) 17 時 51 分 51 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:13:43 UTC 2013 年 11 月 9 日 (土) 2 時 13 分 43 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:27:13 UTC 2014 年 1 月 6 日 (月) 11 時 27 分 13 秒 (日本時間)
1800Serge BatalovMay 24, 2014 03:25:57 UTC 2014 年 5 月 24 日 (土) 12 時 25 分 57 秒 (日本時間)
5043e63000 / 6370Serge BatalovDecember 14, 2014 09:58:46 UTC 2014 年 12 月 14 日 (日) 18 時 58 分 46 秒 (日本時間)

9×10207-7

c153

composite cofactor 合成数の残り
622965588094753312963845339296698286706190518658460617232166441475927651257876166037983624292177021275491411422242555658903456189928901891116539364247181<153>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 19, 2013 17:00:00 UTC 2013 年 1 月 20 日 (日) 2 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 22, 2013 12:37:31 UTC 2013 年 1 月 22 日 (火) 21 時 37 分 31 秒 (日本時間)
4511e61400 / 3552400Dmitry DomanovJanuary 24, 2013 14:42:51 UTC 2013 年 1 月 24 日 (木) 23 時 42 分 51 秒 (日本時間)
1000Dmitry DomanovMay 16, 2013 16:20:41 UTC 2013 年 5 月 17 日 (金) 1 時 20 分 41 秒 (日本時間)
5043e6200 / 7201Dmitry DomanovSeptember 8, 2014 10:41:55 UTC 2014 年 9 月 8 日 (月) 19 時 41 分 55 秒 (日本時間)

9×10208-7

c198

name 名前Serge Batalov
date 日付January 20, 2013 00:30:36 UTC 2013 年 1 月 20 日 (日) 9 時 30 分 36 秒 (日本時間)
composite number 合成数
156648117082174568380674020778461696831129984841620532292900707112962003475121711961569746601982196555084478849800789420650564973231059113980045218184824143328674275857913045237003312295871788698631<198>
prime factors 素因数
1391105121913153482463639567447<31>
composite cofactor 合成数の残り
112606958751427910132154714799779197564839729447211154509272242328834447594163001543079440399182391274163861712702229033284969749779972978906765032572784702670440325073<168>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1022288973
Step 1 took 18661ms
Step 2 took 13345ms
********** Factor found in step 2: 1391105121913153482463639567447
Found probable prime factor of 31 digits: 1391105121913153482463639567447
Composite cofactor 112606958751427910132154714799779197564839729447211154509272242328834447594163001543079440399182391274163861712702229033284969749779972978906765032572784702670440325073 has 168 digits

c168

name 名前Serge Batalov
date 日付January 20, 2013 19:06:58 UTC 2013 年 1 月 21 日 (月) 4 時 6 分 58 秒 (日本時間)
composite number 合成数
112606958751427910132154714799779197564839729447211154509272242328834447594163001543079440399182391274163861712702229033284969749779972978906765032572784702670440325073<168>
prime factors 素因数
2636581926170702349059315753735431199<37>
composite cofactor 合成数の残り
42709448029546003580730169764309231037099378264634310431817629082141916851635542289631388257615790120389518036787941555286848077327<131>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2710756109
Step 1 took 18337ms
Step 2 took 13357ms
********** Factor found in step 2: 2636581926170702349059315753735431199
Found probable prime factor of 37 digits: 2636581926170702349059315753735431199
Composite cofactor has 161 digits

c131

name 名前Warut Roonguthai
date 日付January 25, 2013 13:18:00 UTC 2013 年 1 月 25 日 (金) 22 時 18 分 0 秒 (日本時間)
composite number 合成数
42709448029546003580730169764309231037099378264634310431817629082141916851635542289631388257615790120389518036787941555286848077327<131>
prime factors 素因数
14862841014106460425611150481332954439674343702681<50>
2873572286012483740353684853340786764135524135911421440338673549038381281922241767<82>
factorization results 素因数分解の結果
N = 42709448029546003580730169764309231037099378264634310431817629082141916851635542289631388257615790120389518036787941555286848077327 (131 digits)
Divisors found:
r1=14862841014106460425611150481332954439674343702681 (pp50)
r2=2873572286012483740353684853340786764135524135911421440338673549038381281922241767 (pp82)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 29.28 hours.
Factorization parameters were as follows:
n: 42709448029546003580730169764309231037099378264634310431817629082141916851635542289631388257615790120389518036787941555286848077327
Y0: -22302795950458013966506476
Y1: 143148393496963
c0: 5940303540532515466422994031125
c1: 310275263698525896172347940
c2: 6987004056439844032877
c3: 9533608878926264
c4: -37643432226
c5: 7740
skew: 435148.08 
type: gnfs
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 20402252
Relations: 2562586 relations
Pruned matrix : 1467697 x 1467926
Polynomial selection time: 0.00 hours.
Total sieving time: 27.46 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.63 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: gnfs,130,5,65,2000,1e-05,0.28,250,20,50000,3600,7500000,7500000,28,28,55,55,2.5,2.5,100000
total time: 29.28 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 19, 2013 17:00:00 UTC 2013 年 1 月 20 日 (日) 2 時 0 分 0 秒 (日本時間)
403e61000 / 2318Dmitry DomanovJanuary 22, 2013 12:37:40 UTC 2013 年 1 月 22 日 (火) 21 時 37 分 40 秒 (日本時間)

9×10209-7

c197

composite cofactor 合成数の残り
24641912677671343287057926282389382608448796041742837513922618883897982099180708855949788565092107701310749043173824104707747197969729100686979447049483959417391877421001809940219990592633631918279<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 19, 2013 17:00:00 UTC 2013 年 1 月 20 日 (日) 2 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 22, 2013 12:37:48 UTC 2013 年 1 月 22 日 (火) 21 時 37 分 48 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJanuary 28, 2013 08:52:23 UTC 2013 年 1 月 28 日 (月) 17 時 52 分 23 秒 (日本時間)

9×10210-7

c173

composite cofactor 合成数の残り
35795315755051556143482384255076882151591632985808593329074383552827847631716757686285387141751565124018657731300629295771004647245841545400949258434709664405781931442660109<173>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 19, 2013 17:00:00 UTC 2013 年 1 月 20 日 (日) 2 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 22, 2013 12:37:57 UTC 2013 年 1 月 22 日 (火) 21 時 37 分 57 秒 (日本時間)
4511e61400 / 3552400Dmitry DomanovJanuary 24, 2013 14:43:05 UTC 2013 年 1 月 24 日 (木) 23 時 43 分 5 秒 (日本時間)
1000Dmitry DomanovMarch 20, 2014 09:29:43 UTC 2014 年 3 月 20 日 (木) 18 時 29 分 43 秒 (日本時間)
5043e6200 / 7201Dmitry DomanovSeptember 8, 2014 10:42:11 UTC 2014 年 9 月 8 日 (月) 19 時 42 分 11 秒 (日本時間)

9×10211-7

c199

composite cofactor 合成数の残り
1688317880045848238737635477282196614078397543752708702777136968593143423264069517896376610156697713496264837758958701380734994977786389904428030201437542571489121827819183770213442415086421264667543<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 19, 2013 17:00:00 UTC 2013 年 1 月 20 日 (日) 2 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 22, 2013 12:38:06 UTC 2013 年 1 月 22 日 (火) 21 時 38 分 6 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJanuary 28, 2013 08:52:56 UTC 2013 年 1 月 28 日 (月) 17 時 52 分 56 秒 (日本時間)

9×10213-7

c185

composite cofactor 合成数の残り
35239757900095959189948510121644992116968106544620591121962414716741988948045348661040205002875883304243208249247186434316103019572593354993882186446599258791675338600776772573266508663<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 19, 2013 17:00:00 UTC 2013 年 1 月 20 日 (日) 2 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 22, 2013 12:38:17 UTC 2013 年 1 月 22 日 (火) 21 時 38 分 17 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJanuary 28, 2013 08:53:06 UTC 2013 年 1 月 28 日 (月) 17 時 53 分 6 秒 (日本時間)

9×10214-7

c211

name 名前Bob Backstrom
date 日付September 20, 2017 01:05:21 UTC 2017 年 9 月 20 日 (水) 10 時 5 分 21 秒 (日本時間)
composite number 合成数
2238416196184743950058447534011490536473748352276966697341258984753898574875021762379685129455070012684358445046882383664536026065113040017907329569477951600467580272091924291789986818215733578730071878031188599<211>
prime factors 素因数
1365548820189078960598033793408349753834010789<46>
1639206275960755860192544465573038834070961355795909686010053192608450465373283185320044727810581013038497195864238647789104925497599717543912785743473449977395341291<166>
factorization results 素因数分解の結果
Number: n
N=2238416196184743950058447534011490536473748352276966697341258984753898574875021762379685129455070012684358445046882383664536026065113040017907329569477951600467580272091924291789986818215733578730071878031188599
  ( 211 digits)
SNFS difficulty: 216 digits.
Divisors found:

Wed Sep 20 10:59:00 2017  p46 factor: 1365548820189078960598033793408349753834010789
Wed Sep 20 10:59:00 2017  p166 factor: 1639206275960755860192544465573038834070961355795909686010053192608450465373283185320044727810581013038497195864238647789104925497599717543912785743473449977395341291
Wed Sep 20 10:59:00 2017  elapsed time 06:46:22 (Msieve 1.53 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.116).
Factorization parameters were as follows:
#
# 9x10^214-7 89(213)3
#
n: 2238416196184743950058447534011490536473748352276966697341258984753898574875021762379685129455070012684358445046882383664536026065113040017907329569477951600467580272091924291789986818215733578730071878031188599
m: 500000000000000000000000000000000000
deg: 6
c6: 144
c0: -175
skew: 1.03
# Murphy_E = 2.407e-12
type: snfs
lss: 1
rlim: 28000000
alim: 28000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 28000000/28000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 67600000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 13442683 hash collisions in 69088729 relations (56383035 unique)
Msieve: matrix is 4212761 x 4212986 (1196.9 MB)

Sieving start time: 2017/09/18 12:48:53
Sieving end time  : 2017/09/20 04:10:45

Total sieving time: 39hrs 21min 52secs.

Total relation processing time: 6hrs 18min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 24sec.

Prototype def-par.txt line would be:
snfs,216,6,0,0,0,0,0,0,0,0,28000000,28000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.178577] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16306368K/16703460K available (9091K kernel code, 1667K rwdata, 3820K rodata, 2232K init, 2364K bss, 397092K reserved, 0K cma-reserved)
[    0.215024] x86/mm: Memory block size: 128MB
[    0.000018] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.38 BogoMIPS (lpj=11976772)
[    0.212835] smpboot: Total of 16 processors activated (95814.17 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 19, 2013 17:00:00 UTC 2013 年 1 月 20 日 (日) 2 時 0 分 0 秒 (日本時間)
403e61300300Serge BatalovJanuary 20, 2013 07:47:30 UTC 2013 年 1 月 20 日 (日) 16 時 47 分 30 秒 (日本時間)
1000Dmitry DomanovJanuary 22, 2013 12:38:27 UTC 2013 年 1 月 22 日 (火) 21 時 38 分 27 秒 (日本時間)
4511e649501000Dmitry DomanovJanuary 28, 2013 08:53:15 UTC 2013 年 1 月 28 日 (月) 17 時 53 分 15 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:14:27 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 27 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:27:41 UTC 2014 年 1 月 6 日 (月) 11 時 27 分 41 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:14 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 14 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:28 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 28 秒 (日本時間)

9×10215-7

c206

composite cofactor 合成数の残り
56647431692819416794739496981893099561771320573517261898598836533795974284291374343241801077373714281968146098160444967826738382446947506059775450377610202977485448879966033298633405654163153641310104918937<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 19, 2013 17:00:00 UTC 2013 年 1 月 20 日 (日) 2 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 22, 2013 12:38:35 UTC 2013 年 1 月 22 日 (火) 21 時 38 分 35 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJanuary 28, 2013 08:53:25 UTC 2013 年 1 月 28 日 (月) 17 時 53 分 25 秒 (日本時間)

9×10216-7

c211

name 名前Serge Batalov
date 日付January 20, 2013 00:18:45 UTC 2013 年 1 月 20 日 (日) 9 時 18 分 45 秒 (日本時間)
composite number 合成数
2162012054898770992236214710858513366879752973307078499534807072854281108170507801380276540559706485243426942850094011490853848225312404736343831022903154591789302796754771860884613656853614247563352358238671237<211>
prime factors 素因数
146241356685573643172218848457<30>
composite cofactor 合成数の残り
14783862129692949317475018927888153338416155864428159314036374204089970313827218283780018028017965573796400445589115191836812060879045701282325824746667677037394466961431203022008541<182>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=614155650
Step 1 took 18177ms
********** Factor found in step 1: 146241356685573643172218848457
Found probable prime factor of 30 digits: 146241356685573643172218848457
Composite cofactor 14783862129692949317475018927888153338416155864428159314036374204089970313827218283780018028017965573796400445589115191836812060879045701282325824746667677037394466961431203022008541 has 182 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 19, 2013 17:00:00 UTC 2013 年 1 月 20 日 (日) 2 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 22, 2013 12:38:44 UTC 2013 年 1 月 22 日 (火) 21 時 38 分 44 秒 (日本時間)
4511e61900 / 4254400Dmitry DomanovJanuary 24, 2013 14:43:20 UTC 2013 年 1 月 24 日 (木) 23 時 43 分 20 秒 (日本時間)
1500Dmitry DomanovMarch 20, 2014 09:30:26 UTC 2014 年 3 月 20 日 (木) 18 時 30 分 26 秒 (日本時間)

9×10217-7

c205

composite cofactor 合成数の残り
4661611366472302138577489377779168246777410017014068428533764991254956557348592633526301994108867795835218676096295042181118439943632336511685406302943971788113412131260248527227757461561414940773696784491<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 19, 2013 17:00:00 UTC 2013 年 1 月 20 日 (日) 2 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 22, 2013 12:38:54 UTC 2013 年 1 月 22 日 (火) 21 時 38 分 54 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJanuary 28, 2013 08:53:41 UTC 2013 年 1 月 28 日 (月) 17 時 53 分 41 秒 (日本時間)

9×10218-7

c214

name 名前Serge Batalov
date 日付January 20, 2013 00:18:20 UTC 2013 年 1 月 20 日 (日) 9 時 18 分 20 秒 (日本時間)
composite number 合成数
5812789428473626082632031053212857890215783660894782052689706841653157313457899257900549631533736783977368873158476015784952625766157939947426548946916315208194741363163707526270578889240526767895318121048110520503<214>
prime factors 素因数
726187128727188163349259374603<30>
composite cofactor 合成数の残り
8004533815769898690183447481208852476193163102671210019900458966591910211332399460647347159579945368023782391883683455350943416854607383776283068178709060861382977898123092802505255301<184>
factorization results 素因数分解の結果
Step 1 took 20833ms
Step 2 took 14597ms
********** Factor found in step 2: 726187128727188163349259374603
Found probable prime factor of 30 digits: 726187128727188163349259374603
Composite cofactor 8004533815769898690183447481208852476193163102671210019900458966591910211332399460647347159579945368023782391883683455350943416854607383776283068178709060861382977898123092802505255301 has 184 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 19, 2013 17:00:00 UTC 2013 年 1 月 20 日 (日) 2 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 22, 2013 12:39:03 UTC 2013 年 1 月 22 日 (火) 21 時 39 分 3 秒 (日本時間)
4511e61900 / 4254400Dmitry DomanovJanuary 24, 2013 14:43:36 UTC 2013 年 1 月 24 日 (木) 23 時 43 分 36 秒 (日本時間)
1500Dmitry DomanovMarch 20, 2014 09:30:46 UTC 2014 年 3 月 20 日 (木) 18 時 30 分 46 秒 (日本時間)

9×10219-7

c209

composite cofactor 合成数の残り
64332623659415666533836827893724939117579444170160091542193756688155860379231079801145194610744500378314387377178643420417968322666275254041551977383108114079774239740265339747167237398997394769624580854244107<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 19, 2013 17:00:00 UTC 2013 年 1 月 20 日 (日) 2 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 22, 2013 12:39:12 UTC 2013 年 1 月 22 日 (火) 21 時 39 分 12 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJanuary 28, 2013 08:53:52 UTC 2013 年 1 月 28 日 (月) 17 時 53 分 52 秒 (日本時間)

9×10220-7

c221

name 名前Serge Batalov
date 日付January 20, 2013 01:44:42 UTC 2013 年 1 月 20 日 (日) 10 時 44 分 42 秒 (日本時間)
composite number 合成数
89999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993<221>
prime factors 素因数
75260651973370570125976289397269369<35>
composite cofactor 合成数の残り
1195844011979123490150859164962512877910220222879321108769895607609848058101461206851665086040678085644105788506641244668633673072203421327559074840922345302631877577928318094438915104897<187>
factorization results 素因数分解の結果
Step 1 took 21161ms
Step 2 took 15201ms
********** Factor found in step 2: 75260651973370570125976289397269369
Found probable prime factor of 35 digits: 75260651973370570125976289397269369
Composite cofactor 1195844011979123490150859164962512877910220222879321108769895607609848058101461206851665086040678085644105788506641244668633673072203421327559074840922345302631877577928318094438915104897 has 187 digits

c187

name 名前Dmitry Domanov
date 日付January 28, 2013 07:10:39 UTC 2013 年 1 月 28 日 (月) 16 時 10 分 39 秒 (日本時間)
composite number 合成数
1195844011979123490150859164962512877910220222879321108769895607609848058101461206851665086040678085644105788506641244668633673072203421327559074840922345302631877577928318094438915104897<187>
prime factors 素因数
15682630947055255008118917819750016811<38>
76252767537303327632880725241381302650389068242261095290287948360901508705233306302893861720141730092561206313306572852874043101202638033969041441027<149>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3310117485
Step 1 took 119242ms
Step 2 took 38020ms
********** Factor found in step 2: 15682630947055255008118917819750016811
Found probable prime factor of 38 digits: 15682630947055255008118917819750016811

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 19, 2013 17:00:00 UTC 2013 年 1 月 20 日 (日) 2 時 0 分 0 秒 (日本時間)
403e61000 / 2318Dmitry DomanovJanuary 22, 2013 12:39:21 UTC 2013 年 1 月 22 日 (火) 21 時 39 分 21 秒 (日本時間)

9×10222-7

c184

composite cofactor 合成数の残り
7355203700102009809869003787173535239192112124440947553419040962965205758761776839261696502890200906282151637474871525450859120664491787934953523823412408565282324624227701028023861707<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 19, 2013 17:00:00 UTC 2013 年 1 月 20 日 (日) 2 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 22, 2013 13:07:08 UTC 2013 年 1 月 22 日 (火) 22 時 7 分 8 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJanuary 28, 2013 08:54:02 UTC 2013 年 1 月 28 日 (月) 17 時 54 分 2 秒 (日本時間)

9×10223-7

c136

name 名前Serge Batalov
date 日付January 20, 2013 05:22:45 UTC 2013 年 1 月 20 日 (日) 14 時 22 分 45 秒 (日本時間)
composite number 合成数
3682225079847138404627226311741707955894190464546086924900658470585133848522535893089601850328544667832223003027392424874522914067252039<136>
prime factors 素因数
47192818741997150986206081887459<32>
751925240918113249213728657273210872522801<42>
103767116895828891993244277717324878249617708403313419080441821<63>
factorization results 素因数分解の結果
ECM
Msieve v. 1.51 (SVN 719M)
factoring 78025114371274159465724547040471573635325072631680606355482385827929915497216808856194003869351976460621 (104 digits)
Sat Jan 19 20:19:17 2013  prp42 factor: 751925240918113249213728657273210872522801
Sat Jan 19 20:19:17 2013  prp63 factor: 103767116895828891993244277717324878249617708403313419080441821
execution environment 実行環境
ECM + Msieve v. 1.51

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 19, 2013 17:00:00 UTC 2013 年 1 月 20 日 (日) 2 時 0 分 0 秒 (日本時間)

9×10224-7

c218

composite cofactor 合成数の残り
11862247202826093406260496029356583935356657507649864369042524086919008385198483008378713787870833782725781762620010849211291704745029365849668449531667277198956496565951926292529896125069102532559463171630386664577681<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 19, 2013 17:00:00 UTC 2013 年 1 月 20 日 (日) 2 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 22, 2013 13:07:20 UTC 2013 年 1 月 22 日 (火) 22 時 7 分 20 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJanuary 28, 2013 08:54:12 UTC 2013 年 1 月 28 日 (月) 17 時 54 分 12 秒 (日本時間)

9×10225-7

c223

composite cofactor 合成数の残り
2209673459366560274981586054505278664375153449545789344463540387920451755462803830100662902037809968082494475816351583599312546034863736803339062116376135526638841149030198870611342990424748342744905475079793763810459121041<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 19, 2013 17:00:00 UTC 2013 年 1 月 20 日 (日) 2 時 0 分 0 秒 (日本時間)
403e61300300Serge BatalovJanuary 20, 2013 07:47:12 UTC 2013 年 1 月 20 日 (日) 16 時 47 分 12 秒 (日本時間)
1000Serge BatalovJanuary 20, 2013 19:08:49 UTC 2013 年 1 月 21 日 (月) 4 時 8 分 49 秒 (日本時間)
4511e644502200Serge BatalovJanuary 20, 2013 19:08:49 UTC 2013 年 1 月 21 日 (月) 4 時 8 分 49 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:15:33 UTC 2013 年 11 月 9 日 (土) 2 時 15 分 33 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:32 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 32 秒 (日本時間)
1000Dmitry DomanovMarch 20, 2014 09:31:21 UTC 2014 年 3 月 20 日 (木) 18 時 31 分 21 秒 (日本時間)

9×10226-7

c220

name 名前Dmitry Domanov
date 日付January 21, 2013 09:37:49 UTC 2013 年 1 月 21 日 (月) 18 時 37 分 49 秒 (日本時間)
composite number 合成数
1835673037995433620543416737001838875267628381210303698030643053194194484132941970561148318730520322134510818324887571655242083563140901020530187653308018450308912157925643779202881011326938895482467802957795490481535587<220>
prime factors 素因数
7571494175648054779994833698583367<34>
242445281659127182367148236133057354076074365144420882219008029786914073838350984716405748566549369393481094361937065933294704293382288096058985007459491546992328429171120216387174790661<186>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1433781751
Step 1 took 30710ms
Step 2 took 11066ms
********** Factor found in step 2: 7571494175648054779994833698583367
Found probable prime factor of 34 digits: 7571494175648054779994833698583367

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 19, 2013 17:00:00 UTC 2013 年 1 月 20 日 (日) 2 時 0 分 0 秒 (日本時間)

9×10227-7

c204

composite cofactor 合成数の残り
124230954042644334296276040324436885628779762573283296242939903571000824579597929200035093975464582165172428645068117512519399521148672648062380477415958546762533166825043665838430487190857531537796718237<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 19, 2013 17:00:00 UTC 2013 年 1 月 20 日 (日) 2 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 22, 2013 13:07:36 UTC 2013 年 1 月 22 日 (火) 22 時 7 分 36 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJanuary 28, 2013 08:54:34 UTC 2013 年 1 月 28 日 (月) 17 時 54 分 34 秒 (日本時間)

9×10228-7

c202

composite cofactor 合成数の残り
1479823684976212208026497411548332854698756329227171402021602130542792274780536900423023843555071909564888213390814799535682546773909325656271770147697868404556143892351712405416242197398525345487736813<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 19, 2013 17:00:00 UTC 2013 年 1 月 20 日 (日) 2 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 22, 2013 13:07:46 UTC 2013 年 1 月 22 日 (火) 22 時 7 分 46 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJanuary 28, 2013 08:54:43 UTC 2013 年 1 月 28 日 (月) 17 時 54 分 43 秒 (日本時間)

9×10230-7

c231

name 名前matsui
date 日付March 29, 2013 21:15:03 UTC 2013 年 3 月 30 日 (土) 6 時 15 分 3 秒 (日本時間)
composite number 合成数
899999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993<231>
prime factors 素因数
51237427786340924800239379315294597942435524037389830309662907605385003608714689353423882260715576183142758981623<113>
17565284575817944220187662032055297125230805776180803212134090784297624398948378125807152313972935318264056805958370191<119>
factorization results 素因数分解の結果
N=899999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993
  ( 231 digits)
SNFS difficulty: 230 digits.
Divisors found:
 r1=51237427786340924800239379315294597942435524037389830309662907605385003608714689353423882260715576183142758981623 (pp113)
 r2=17565284575817944220187662032055297125230805776180803212134090784297624398948378125807152313972935318264056805958370191 (pp119)
Version: Msieve v. 1.52 (SVN Unversioned directory)
Total time:
Scaled time: 280.58 units (timescale=1.761).
Factorization parameters were as follows:
n: 899999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993
m: 100000000000000000000000000000000000000
deg: 6
c6: 900
c0: -7
skew: 0.45
# Murphy_E = 8.943e-13
type: snfs
lss: 1
rlim: 49000000
alim: 49000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
qintsize: 100000
Factor base limits: 49000000/49000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved rational special-q in [24500000, 60000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 7359141 x 7359369
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,230.000,6,0,0,0,0,0,0,0,0,49000000,49000000,30,30,59,59,2.7,2.7,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 19, 2013 17:00:00 UTC 2013 年 1 月 20 日 (日) 2 時 0 分 0 秒 (日本時間)
403e61800300Serge BatalovJanuary 20, 2013 07:46:57 UTC 2013 年 1 月 20 日 (日) 16 時 46 分 57 秒 (日本時間)
500Serge BatalovJanuary 20, 2013 08:09:35 UTC 2013 年 1 月 20 日 (日) 17 時 9 分 35 秒 (日本時間)
1000Serge BatalovJanuary 20, 2013 08:47:28 UTC 2013 年 1 月 20 日 (日) 17 時 47 分 28 秒 (日本時間)
4511e62200Serge BatalovJanuary 20, 2013 19:08:16 UTC 2013 年 1 月 21 日 (月) 4 時 8 分 16 秒 (日本時間)
5043e6600 / 6991Dmitry DomanovJanuary 28, 2013 08:55:01 UTC 2013 年 1 月 28 日 (月) 17 時 55 分 1 秒 (日本時間)

9×10231-7

c209

name 名前Serge Batalov
date 日付January 20, 2013 01:45:26 UTC 2013 年 1 月 20 日 (日) 10 時 45 分 26 秒 (日本時間)
composite number 合成数
66919596390305230454460764349216760988554547073214021941644471297032119854088328280258054190684358028844925142730843352653617855285912841190169184511775699115440621411163215883017289820544079013906624691148613<209>
prime factors 素因数
8172223397499257517575047073<28>
8188664594115595503580423196854750405631594703283051003754763393464283809901576925519295020997320716288677629674434349693395532796350581759007875765177277807975844334988284475890981<181>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3965648295
Step 1 took 18093ms
Step 2 took 13557ms
********** Factor found in step 2: 8172223397499257517575047073
Found probable prime factor of 28 digits: 8172223397499257517575047073
Probable prime cofactor has 181 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 19, 2013 17:00:00 UTC 2013 年 1 月 20 日 (日) 2 時 0 分 0 秒 (日本時間)

9×10235-7

c164

name 名前Dmitry Domanov
date 日付January 21, 2013 09:33:19 UTC 2013 年 1 月 21 日 (月) 18 時 33 分 19 秒 (日本時間)
composite number 合成数
74821608270394879766713536252363086745530271987532660885222775300441726374546800856745954122533371334834983927934665018034963263320057732743568371314984955104789497<164>
prime factors 素因数
601201381906764207791557996852690222334833<42>
composite cofactor 合成数の残り
124453486838455735960367215102053559754874897073455667804361984521876415974770816016480831027394058189602905117701712672009<123>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2987282525
Step 1 took 13558ms
Step 2 took 6388ms
********** Factor found in step 2: 601201381906764207791557996852690222334833
Found probable prime factor of 42 digits: 601201381906764207791557996852690222334833

c123

name 名前Warut Roonguthai
date 日付January 22, 2013 11:02:29 UTC 2013 年 1 月 22 日 (火) 20 時 2 分 29 秒 (日本時間)
composite number 合成数
124453486838455735960367215102053559754874897073455667804361984521876415974770816016480831027394058189602905117701712672009<123>
prime factors 素因数
182308333812625357482780802735163521<36>
682653854795073482299474970784742997784507541244272296778504446523147516112224673441929<87>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=473056303
Step 1 took 13322ms
Step 2 took 8393ms
********** Factor found in step 2: 182308333812625357482780802735163521
Found probable prime factor of 36 digits: 182308333812625357482780802735163521
Probable prime cofactor 682653854795073482299474970784742997784507541244272296778504446523147516112224673441929 has 87 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 19, 2013 17:00:00 UTC 2013 年 1 月 20 日 (日) 2 時 0 分 0 秒 (日本時間)

9×10236-7

c228

composite cofactor 合成数の残り
220238217227053270823309379506198573178732176889160597158140551568208024377340169165752827133819574274176758518712626876083255589263044611049756156124525921117204812465514809354495824270309436601488134510778949359961838276745991<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 19, 2013 17:00:00 UTC 2013 年 1 月 20 日 (日) 2 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 22, 2013 13:08:05 UTC 2013 年 1 月 22 日 (火) 22 時 8 分 5 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJanuary 28, 2013 08:55:27 UTC 2013 年 1 月 28 日 (月) 17 時 55 分 27 秒 (日本時間)

9×10239-7

c221

composite cofactor 合成数の残り
19890235701114469437485055147036442767058576937793951397755243149536659778873586871806064463546074587897849271216080361693384766514478354600872426776714641183888058533408690040719442113843963065364036046456243691866509563<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 19, 2013 17:00:00 UTC 2013 年 1 月 20 日 (日) 2 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 22, 2013 13:08:15 UTC 2013 年 1 月 22 日 (火) 22 時 8 分 15 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJanuary 28, 2013 08:55:38 UTC 2013 年 1 月 28 日 (月) 17 時 55 分 38 秒 (日本時間)

9×10241-7

c164

name 名前Serge Batalov
date 日付January 20, 2013 01:46:58 UTC 2013 年 1 月 20 日 (日) 10 時 46 分 58 秒 (日本時間)
composite number 合成数
75053308983673703293610847786037028246809207346413776994018397609431704250505237853995720114473451660581078844650471368295994485988350604308908631710100899716042317<164>
prime factors 素因数
151865262155527239664587101<27>
composite cofactor 合成数の残り
494209853645204318951707603473544525662934704148157406239642552998473874369360844260760253523394222168967177082411467104443115924308701617<138>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3036460514
Step 1 took 12357ms
Step 2 took 7153ms
********** Factor found in step 2: 151865262155527239664587101
Found probable prime factor of 27 digits: 151865262155527239664587101
Composite cofactor 494209853645204318951707603473544525662934704148157406239642552998473874369360844260760253523394222168967177082411467104443115924308701617 has 138 digits

c138

name 名前Erik Branger
date 日付May 14, 2014 06:02:50 UTC 2014 年 5 月 14 日 (水) 15 時 2 分 50 秒 (日本時間)
composite number 合成数
494209853645204318951707603473544525662934704148157406239642552998473874369360844260760253523394222168967177082411467104443115924308701617<138>
prime factors 素因数
26366598223416408664066590830488778680400386657<47>
18743785203443202798774284905711376437130006465216403601267394610637495193282374848223443281<92>
factorization results 素因数分解の結果
Number: 89993_241
N = 494209853645204318951707603473544525662934704148157406239642552998473874369360844260760253523394222168967177082411467104443115924308701617 (138 digits)
Divisors found:
r1=26366598223416408664066590830488778680400386657 (pp47)
r2=18743785203443202798774284905711376437130006465216403601267394610637495193282374848223443281 (pp92)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 136.79 hours.
Factorization parameters were as follows:
# Murphy_E = 3.03e-11, selected by Erik Branger
# expecting poly E from 2.84e-011 to > 3.26e-011
n: 494209853645204318951707603473544525662934704148157406239642552998473874369360844260760253523394222168967177082411467104443115924308701617
Y0: -655617746495328812474738863
Y1: 871396904334133
c0: 72201265011749764858262742515006400
c1: 82506170487846289719219001900
c2: 35256377061704947784904
c3: -95532141674998923
c4: -16019081702
c5: 4080
skew: 2668844.66
type: gnfs
# selected mechanically
rlim: 15800000
alim: 15800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 15800000/15800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23089142
Relations: 3464096 relations
Pruned matrix : 2149281 x 2149510
Polynomial selection time: 0.00 hours.
Total sieving time: 133.12 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 3.43 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: gnfs,137,5,65,2000,1e-05,0.28,250,20,50000,3600,15800000,15800000,28,28,55,55,2.6,2.6,100000
total time: 136.79 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 19, 2013 17:00:00 UTC 2013 年 1 月 20 日 (日) 2 時 0 分 0 秒 (日本時間)
403e64800Warut RoonguthaiJanuary 20, 2013 21:03:48 UTC 2013 年 1 月 21 日 (月) 6 時 3 分 48 秒 (日本時間)
4511e62822 / 3414222Serge BatalovJanuary 21, 2013 00:10:00 UTC 2013 年 1 月 21 日 (月) 9 時 10 分 0 秒 (日本時間)
500Dmitry DomanovMay 16, 2013 16:21:11 UTC 2013 年 5 月 17 日 (金) 1 時 21 分 11 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:45:51 UTC 2013 年 11 月 8 日 (金) 10 時 45 分 51 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:08:58 UTC 2013 年 11 月 9 日 (土) 2 時 8 分 58 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:15 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 15 秒 (日本時間)

9×10242-7

c223

composite cofactor 合成数の残り
2727003961102287588138034269608582625495782167332837466984393061079851441565226163715120465722327507738881539880506919806528878019814939700394044154052656299652472553377429536588989142706646857168399660997815752019767771617<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 19, 2013 17:00:00 UTC 2013 年 1 月 20 日 (日) 2 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 22, 2013 13:08:32 UTC 2013 年 1 月 22 日 (火) 22 時 8 分 32 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJanuary 28, 2013 08:55:59 UTC 2013 年 1 月 28 日 (月) 17 時 55 分 59 秒 (日本時間)

9×10244-7

c181

composite cofactor 合成数の残り
2935613222040072107797581651663263843388960138131903713499021375072598111904917739042289432345457880040784198202743678822594851809696777932275399609799260999368273188632856566810413<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 19, 2013 17:00:00 UTC 2013 年 1 月 20 日 (日) 2 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 22, 2013 13:08:42 UTC 2013 年 1 月 22 日 (火) 22 時 8 分 42 秒 (日本時間)
4511e61000 / 3552Dmitry DomanovJanuary 28, 2013 08:56:08 UTC 2013 年 1 月 28 日 (月) 17 時 56 分 8 秒 (日本時間)
5043e6200 / 7291Dmitry DomanovSeptember 8, 2014 10:42:40 UTC 2014 年 9 月 8 日 (月) 19 時 42 分 40 秒 (日本時間)

9×10246-7

c233

name 名前Serge Batalov
date 日付January 20, 2013 01:56:02 UTC 2013 年 1 月 20 日 (日) 10 時 56 分 2 秒 (日本時間)
composite number 合成数
16133600014877208328703119400504697451226363041137962043009329660584414231645680455958406722153375330392525109362228123856410986382992378591742102003578760806616913251586714721685445444839910992458666566508455615612851080209246023267<233>
prime factors 素因数
1558492461493855183749184811137<31>
composite cofactor 合成数の残り
10352055215854388530080700415950825894651320495185249791532003376327943732655344147005599022003218723987383107692414575227948525517134886787393056269647335492933120773242470223656928504378627327279115491<203>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2911317418
Step 1 took 24066ms
Step 2 took 16169ms
********** Factor found in step 2: 1558492461493855183749184811137
Found probable prime factor of 31 digits: 1558492461493855183749184811137
Composite cofactor 10352055215854388530080700415950825894651320495185249791532003376327943732655344147005599022003218723987383107692414575227948525517134886787393056269647335492933120773242470223656928504378627327279115491 has 203 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 19, 2013 17:00:00 UTC 2013 年 1 月 20 日 (日) 2 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 22, 2013 13:08:51 UTC 2013 年 1 月 22 日 (火) 22 時 8 分 51 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJanuary 28, 2013 08:56:18 UTC 2013 年 1 月 28 日 (月) 17 時 56 分 18 秒 (日本時間)

9×10249-7

c208

name 名前Dmitry Domanov
date 日付January 28, 2013 07:11:09 UTC 2013 年 1 月 28 日 (月) 16 時 11 分 9 秒 (日本時間)
composite number 合成数
5376866189948542016465602723670739549662416825461862159049572005251368647159429722199201892425123562459057486149157995085947908269621678574341125457609176345574641779832121839532959988725740509518130021660559<208>
prime factors 素因数
937809330181667357223217916713939668971<39>
composite cofactor 合成数の残り
5733432177420291334673646862167762084439087066950690364893303063295632113028266269161472739983721751603548072432556869419339663476577187625578436633189530331747134632429<169>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=56793237
Step 1 took 137530ms
Step 2 took 43438ms
********** Factor found in step 2: 937809330181667357223217916713939668971
Found probable prime factor of 39 digits: 937809330181667357223217916713939668971

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 19, 2013 17:00:00 UTC 2013 年 1 月 20 日 (日) 2 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 22, 2013 13:09:00 UTC 2013 年 1 月 22 日 (火) 22 時 9 分 0 秒 (日本時間)
4511e61000Dmitry DomanovJanuary 29, 2013 11:10:24 UTC 2013 年 1 月 29 日 (火) 20 時 10 分 24 秒 (日本時間)
5043e6928 / 2903Dmitry DomanovJanuary 31, 2013 14:31:53 UTC 2013 年 1 月 31 日 (木) 23 時 31 分 53 秒 (日本時間)
5511e71820 / 17368900Serge BatalovJune 5, 2014 02:34:31 UTC 2014 年 6 月 5 日 (木) 11 時 34 分 31 秒 (日本時間)
920Serge BatalovJune 5, 2014 15:28:32 UTC 2014 年 6 月 6 日 (金) 0 時 28 分 32 秒 (日本時間)

9×10250-7

c240

composite cofactor 合成数の残り
670055002346138812001188130600818579517754106596023863482960051225560197481805411507440327796370627319125614378999622117783596823012376481367639774927452921730442491652288141815246986178535862382411327236085383012391536461234711239231547537<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 19, 2013 17:00:00 UTC 2013 年 1 月 20 日 (日) 2 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 22, 2013 13:09:08 UTC 2013 年 1 月 22 日 (火) 22 時 9 分 8 秒 (日本時間)
4511e61000Dmitry DomanovJanuary 28, 2013 08:56:32 UTC 2013 年 1 月 28 日 (月) 17 時 56 分 32 秒 (日本時間)
5043e6928 / 7291Dmitry DomanovJanuary 28, 2013 08:56:52 UTC 2013 年 1 月 28 日 (月) 17 時 56 分 52 秒 (日本時間)