Table of contents 目次

7×10118+1

c105

name 名前Jo Yeong Uk
date 日付April 1, 2007 08:57:58 UTC 2007 年 4 月 1 日 (日) 17 時 57 分 58 秒 (日本時間)
composite number 合成数
565726611069929549103721920736813842762633274721108994347074829384094876815420884707818446157636241770317<105>
prime factors 素因数
573478493821804383126117265442725302450908591<45>
986482696674090871440722049772557294942194567424256350401987<60>
factorization results 素因数分解の結果
Number: 70001_118
N=565726611069929549103721920736813842762633274721108994347074829384094876815420884707818446157636241770317
  ( 105 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=573478493821804383126117265442725302450908591 (pp45)
 r2=986482696674090871440722049772557294942194567424256350401987 (pp60)
Version: GGNFS-0.77.1-20050930-k8
Total time: 1.23 hours.
Scaled time: 1.11 units (timescale=0.908).
Factorization parameters were as follows:
n: 565726611069929549103721920736813842762633274721108994347074829384094876815420884707818446157636241770317
m: 500000000000000000000000
c5: 56
c0: 25
skew: 1
type: snfs
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [350000, 500001)
Primes: RFBsize:56543, AFBsize:56853, largePrimes:2008292 encountered
Relations: rels:2032184, finalFF:180139
Max relations in full relation-set: 28
Initial matrix: 113463 x 180139 with sparse part having weight 15070540.
Pruned matrix : 95115 x 95746 with weight 5531881.
Total sieving time: 1.15 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,120,5,0,0,0,0,0,0,0,0,700000,700000,25,25,46,46,2.4,2.4,25000
total time: 1.23 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 06
Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 06
Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4671.61 BogoMIPS (lpj=2335806)
Calibrating delay using timer specific routine.. 4668.47 BogoMIPS (lpj=2334239)
Total of 2 processors activated (9340.09 BogoMIPS).
software ソフトウェア
\
execution environment 実行環境
Core 2 Duo E6300@2.33GHz

7×10129+1

c130

name 名前Jo Yeong Uk
date 日付April 1, 2007 12:27:17 UTC 2007 年 4 月 1 日 (日) 21 時 27 分 17 秒 (日本時間)
composite number 合成数
7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<130>
prime factors 素因数
20339094283792370330464042356579607994600801891<47>
344164784445593301152541755553359867327580661913692995263470054136783938426510011211<84>
factorization results 素因数分解の結果
Number: 70001_129
N=7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
  ( 130 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=20339094283792370330464042356579607994600801891 (pp47)
 r2=344164784445593301152541755553359867327580661913692995263470054136783938426510011211 (pp84)
Version: GGNFS-0.77.1-20050930-k8
Total time: 3.36 hours.
Scaled time: 3.05 units (timescale=0.906).
Factorization parameters were as follows:
n: 7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
m: 100000000000000000000000000
c5: 7
c0: 10
skew: 1.07
type: snfs
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [500000, 1050001)
Primes: RFBsize:78498, AFBsize:78531, largePrimes:1534031 encountered
Relations: rels:1534832, finalFF:179547
Max relations in full relation-set: 28
Initial matrix: 157094 x 179547 with sparse part having weight 10290326.
Pruned matrix : 149259 x 150108 with weight 7019841.
Total sieving time: 3.25 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,130,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,44,44,2.2,2.2,50000
total time: 3.36 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 06
Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 06
Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4671.61 BogoMIPS (lpj=2335806)
Calibrating delay using timer specific routine.. 4668.47 BogoMIPS (lpj=2334239)
Total of 2 processors activated (9340.09 BogoMIPS).
execution environment 実行環境
Core 2 Duo E6300@2.33GHz

7×10131+1

c113

name 名前Robert Backstrom
date 日付April 1, 2007 20:52:44 UTC 2007 年 4 月 2 日 (月) 5 時 52 分 44 秒 (日本時間)
composite number 合成数
51061761414399357027026281791696991073532907727375622679324186881116608610691045434679404986513298702271065732623<113>
prime factors 素因数
60570823643539584765292420545299<32>
843009197215127294834358695906019746493107625259983272341093175391722476971875477<81>
factorization results 素因数分解の結果
Number: n
N=51061761414399357027026281791696991073532907727375622679324186881116608610691045434679404986513298702271065732623
  ( 113 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=60570823643539584765292420545299 (pp32)
 r2=843009197215127294834358695906019746493107625259983272341093175391722476971875477 (pp81)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 6.67 hours.
Scaled time: 6.85 units (timescale=1.027).
Factorization parameters were as follows:
name: KA_7_0_130_1
n: 51061761414399357027026281791696991073532907727375622679324186881116608610691045434679404986513298702271065732623
type: snfs
skew: 2.34
deg: 5
c5: 70
c0: 1
m: 100000000000000000000000000
rlim: 2000000
alim: 2000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 700001)
Primes: RFBsize:148933, AFBsize:149260, largePrimes:4789248 encountered
Relations: rels:4160441, finalFF:353209
Max relations in full relation-set: 48
Initial matrix: 298260 x 353209 with sparse part having weight 10465394.
Pruned matrix : 209368 x 210923 with weight 4935962.
Total sieving time: 6.13 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.34 hours.
Total square root time: 0.07 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,2000000,2000000,28,28,48,48,2.2,2.2,50000
total time: 6.67 hours.
 --------- CPU info (if available) ----------
CPU: AMD Athlon(tm) XP 3000+ stepping 00
Memory: 2076900k/2097088k available (1540k kernel code, 19412k reserved, 599k data, 144k init, 0k highmem)
Calibrating delay loop... 4292.60 BogoMIPS
x86info v1.12b.  Dave Jones 2001-2003
Feedback to <davej@redhat.com>.

Found 1 CPU
--------------------------------------------------------------------------
Family: 6 Model: 10 Stepping: 0
CPU Model : Athlon XP (Barton)
2.2Ghz processor (estimate).

7×10132+1

c126

name 名前Robert Backstrom
date 日付April 2, 2007 03:07:46 UTC 2007 年 4 月 2 日 (月) 12 時 7 分 46 秒 (日本時間)
composite number 合成数
204682390387389786939374567224670824662719240059899424336625103763006798350154668248296231092500738391723322508656383793751263<126>
prime factors 素因数
14638283495713663736241157708855869290229636409<47>
13982677029538623333501754987296211103374639783010627959614701454655065820539607<80>
factorization results 素因数分解の結果
Number: n
N=204682390387389786939374567224670824662719240059899424336625103763006798350154668248296231092500738391723322508656383793751263
  ( 126 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=14638283495713663736241157708855869290229636409 (pp47)
 r2=13982677029538623333501754987296211103374639783010627959614701454655065820539607 (pp80)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 5.29 hours.
Scaled time: 6.32 units (timescale=1.195).
Factorization parameters were as follows:
name: KA_7_0_131_1
n: 204682390387389786939374567224670824662719240059899424336625103763006798350154668248296231092500738391723322508656383793751263
type: snfs
skew: .27
deg: 5
c5: 700
c0: 1
m: 100000000000000000000000000
rlim: 2000000
alim: 2000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 600001)
Primes: RFBsize:148933, AFBsize:148445, largePrimes:5256226 encountered
Relations: rels:4734818, finalFF:475275
Max relations in full relation-set: 28
Initial matrix: 297445 x 475275 with sparse part having weight 14694290.
Pruned matrix : 149989 x 151540 with weight 4433861.
Total sieving time: 4.88 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.24 hours.
Total square root time: 0.03 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,132,5,0,0,0,0,0,0,0,0,2000000,2000000,28,28,48,48,2.2,2.2,50000
total time: 5.29 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

7×10133+1

c119

name 名前Jo Yeong Uk
date 日付April 3, 2007 06:50:19 UTC 2007 年 4 月 3 日 (火) 15 時 50 分 19 秒 (日本時間)
composite number 合成数
50969591898843277031731533454957690483593397704702865881216299727962991255065213977531205848685177328201602448718910599<119>
prime factors 素因数
2453625078680201566748816367059723<34>
20773178568202312946561506523760891062078565941949791090519972188145838947872363815413<86>
factorization results 素因数分解の結果
Number: 70001_133
N=50969591898843277031731533454957690483593397704702865881216299727962991255065213977531205848685177328201602448718910599
  ( 119 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=2453625078680201566748816367059723 (pp34)
 r2=20773178568202312946561506523760891062078565941949791090519972188145838947872363815413 (pp86)
Version: GGNFS-0.77.1-20050930-k8
Total time: 5.53 hours.
Scaled time: 5.00 units (timescale=0.904).
Factorization parameters were as follows:
n: 50969591898843277031731533454957690483593397704702865881216299727962991255065213977531205848685177328201602448718910599
m: 500000000000000000000000000
c5: 56
c0: 25
skew: 1
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [650000, 1450001)
Primes: RFBsize:100021, AFBsize:100763, largePrimes:1591563 encountered
Relations: rels:1628120, finalFF:233486
Max relations in full relation-set: 28
Initial matrix: 200851 x 233486 with sparse part having weight 10220243.
Pruned matrix : 184070 x 185138 with weight 6892410.
Total sieving time: 5.38 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,135,5,0,0,0,0,0,0,0,0,1300000,1300000,25,25,43,43,2.3,2.3,50000
total time: 5.53 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 06
Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 06
Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4671.61 BogoMIPS (lpj=2335806)
Calibrating delay using timer specific routine.. 4668.47 BogoMIPS (lpj=2334239)
Total of 2 processors activated (9340.09 BogoMIPS).
execution environment 実行環境
Core 2 Duo E6300@2.33GHz

7×10138+1

c128

name 名前Jo Yeong Uk
date 日付April 2, 2007 09:40:21 UTC 2007 年 4 月 2 日 (月) 18 時 40 分 21 秒 (日本時間)
composite number 合成数
31674876876119682273182173592100422640303476152979377067510779551529709019971793502322392463306558652053674526010259588124453929<128>
prime factors 素因数
5455759339741710826253913205440113<34>
5805768712228287085116276448327387554343755401317995474938232335903884659779580329249392645433<94>
factorization results 素因数分解の結果
Number: 70001_138
N=31674876876119682273182173592100422640303476152979377067510779551529709019971793502322392463306558652053674526010259588124453929
  ( 128 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=5455759339741710826253913205440113 (pp34)
 r2=5805768712228287085116276448327387554343755401317995474938232335903884659779580329249392645433 (pp94)
Version: GGNFS-0.77.1-20050930-k8
Total time: 10.45 hours.
Scaled time: 9.26 units (timescale=0.886).
Factorization parameters were as follows:
n: 31674876876119682273182173592100422640303476152979377067510779551529709019971793502322392463306558652053674526010259588124453929
m: 5000000000000000000000000000
c5: 56
c0: 25
skew: 1
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [650000, 1250001)
Primes: RFBsize:100021, AFBsize:100763, largePrimes:1595353 encountered
Relations: rels:1636224, finalFF:234205
Max relations in full relation-set: 28
Initial matrix: 200851 x 234205 with sparse part having weight 10228624.
Pruned matrix : 183788 x 184856 with weight 6854937.
Total sieving time: 10.30 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1300000,1300000,25,25,43,43,2.3,2.3,50000
total time: 10.45 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 06
Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 06
Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4671.61 BogoMIPS (lpj=2335806)
Calibrating delay using timer specific routine.. 4668.47 BogoMIPS (lpj=2334239)
Total of 2 processors activated (9340.09 BogoMIPS).
execution environment 実行環境
Core 2 Duo E6300@2.33GHz

7×10140+1

c102

name 名前Robert Backstrom
date 日付April 3, 2007 09:21:30 UTC 2007 年 4 月 3 日 (火) 18 時 21 分 30 秒 (日本時間)
composite number 合成数
210024217943540075133468448585998713651423975051285334416970611675803218930172853494308591985693247453<102>
prime factors 素因数
10854524950314912484667997912049<32>
19349001352421860990031887892254003455517463005159744816652778091636397<71>
factorization results 素因数分解の結果
Number: n
N=210024217943540075133468448585998713651423975051285334416970611675803218930172853494308591985693247453
  ( 102 digits)
Divisors found:
 r1=10854524950314912484667997912049 (pp32)
 r2=19349001352421860990031887892254003455517463005159744816652778091636397 (pp71)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 7.73 hours.
Scaled time: 7.94 units (timescale=1.027).
Factorization parameters were as follows:
name: n
n: 210024217943540075133468448585998713651423975051285334416970611675803218930172853494308591985693247453
skew: 4857.17
# norm 1.15e+13
c5: 17700
c4: 289407331
c3: -1642729399766
c2: -6867015070714932
c1: 17195621348974928392
c0: 769880280619743055872
# alpha -4.40
Y1: 10035206137
Y0: -25993135675887091241
# Murphy_E 3.01e-09
# M 78178482628374967068165789630605424947992957095981539722006975876156390065512434849895881884496153165
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [100000, 800001)
Primes: RFBsize:169511, AFBsize:169675, largePrimes:3831878 encountered
Relations: rels:3726342, finalFF:397041
Max relations in full relation-set: 48
Initial matrix: 339264 x 397041 with sparse part having weight 19046546.
Pruned matrix : 268634 x 270394 with weight 8777420.
Total sieving time: 6.72 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.73 hours.
Total square root time: 0.11 hours, sqrts: 1.
Prototype def-par.txt line would be:
gnfs,101,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 7.73 hours.
 --------- CPU info (if available) ----------
CPU: AMD Athlon(tm) XP 3000+ stepping 00
Memory: 2076900k/2097088k available (1540k kernel code, 19412k reserved, 599k data, 144k init, 0k highmem)
Calibrating delay loop... 4292.60 BogoMIPS
x86info v1.12b.  Dave Jones 2001-2003
Feedback to <davej@redhat.com>.

Found 1 CPU
--------------------------------------------------------------------------
Family: 6 Model: 10 Stepping: 0
CPU Model : Athlon XP (Barton)
2.2Ghz processor (estimate).

7×10144+1

c144

name 名前Jo Yeong Uk
date 日付April 3, 2007 01:14:14 UTC 2007 年 4 月 3 日 (火) 10 時 14 分 14 秒 (日本時間)
composite number 合成数
304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826087<144>
prime factors 素因数
809940785427965343526229739355042505157936405047381591533420897433<66>
375765527014597615163944861799356289186159071363960150031523628164542872741439<78>
factorization results 素因数分解の結果
Number: 70001_144
N=304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826087
  ( 144 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=809940785427965343526229739355042505157936405047381591533420897433 (pp66)
 r2=375765527014597615163944861799356289186159071363960150031523628164542872741439 (pp78)
Version: GGNFS-0.77.1-20050930-k8
Total time: 14.94 hours.
Scaled time: 13.49 units (timescale=0.903).
Factorization parameters were as follows:
n: 304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826087
m: 100000000000000000000000000000
c5: 7
c0: 10
skew: 1.07
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, 1600001)
Primes: RFBsize:114155, AFBsize:114342, largePrimes:2746135 encountered
Relations: rels:2738222, finalFF:297904
Max relations in full relation-set: 28
Initial matrix: 228562 x 297904 with sparse part having weight 23793466.
Pruned matrix : 205655 x 206861 with weight 13817480.
Total sieving time: 14.65 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,50000
total time: 14.94 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 06
Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 06
Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4671.61 BogoMIPS (lpj=2335806)
Calibrating delay using timer specific routine.. 4668.47 BogoMIPS (lpj=2334239)
Total of 2 processors activated (9340.09 BogoMIPS).
execution environment 実行環境
Core 2 Duo E6300@2.33GHz

7×10145+1

c100

name 名前Jo Yeong Uk
date 日付April 1, 2007 22:36:07 UTC 2007 年 4 月 2 日 (月) 7 時 36 分 7 秒 (日本時間)
composite number 合成数
3259655268066666531787153780348226028624564585225737486803402609014796394727034639592215715906944763<100>
prime factors 素因数
1795008466954729168800209414936453<34>
1815955371841082430332694563327821684185611841419005671789292422271<67>
factorization results 素因数分解の結果
Number: 70001_145
N=3259655268066666531787153780348226028624564585225737486803402609014796394727034639592215715906944763
  ( 100 digits)
Divisors found:
 r1=1795008466954729168800209414936453 (pp34)
 r2=1815955371841082430332694563327821684185611841419005671789292422271 (pp67)
Version: GGNFS-0.77.1-20050930-k8
Total time: 4.36 hours.
Scaled time: 3.94 units (timescale=0.904).
Factorization parameters were as follows:
name: 70001_145
n: 3259655268066666531787153780348226028624564585225737486803402609014796394727034639592215715906944763
skew: 5434.66
# norm 8.87e+13
c5: 138600
c4: -628977735
c3: -4844662654778
c2: 56975616878785198
c1: 12597830851657240872
c0: -315955197528020586762632
# alpha -6.43
Y1: 27202766879
Y0: -7486573984825469671
# Murphy_E 3.49e-09
# M 2021588631885662640472603336663148478076687078668088154026142239430095812078564709322760587979382906
type: gnfs
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [750000, 1200001)
Primes: RFBsize:114155, AFBsize:114915, largePrimes:3762566 encountered
Relations: rels:3629001, finalFF:277528
Max relations in full relation-set: 28
Initial matrix: 229154 x 277528 with sparse part having weight 19757876.
Pruned matrix : 193470 x 194679 with weight 11201879.
Polynomial selection time: 0.25 hours.
Total sieving time: 3.82 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,99,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,26,26,48,48,2.5,2.5,50000
total time: 4.36 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 06
Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 06
Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4671.61 BogoMIPS (lpj=2335806)
Calibrating delay using timer specific routine.. 4668.47 BogoMIPS (lpj=2334239)
Total of 2 processors activated (9340.09 BogoMIPS).
execution environment 実行環境
Core 2 Duo E6300@2.33GHz

7×10147+1

c118

name 名前Jo Yeong Uk
date 日付April 4, 2007 22:08:45 UTC 2007 年 4 月 5 日 (木) 7 時 8 分 45 秒 (日本時間)
composite number 合成数
3074695263801013246179651465377774841536765090589909013606376195809919254938620808513180930889035167934758547190663753<118>
prime factors 素因数
1257698080821893649965656268769551561386291<43>
2444700608743657571446769617615111125524512245960929287873490693266909697683<76>
factorization results 素因数分解の結果
Number: 70001_147
N=3074695263801013246179651465377774841536765090589909013606376195809919254938620808513180930889035167934758547190663753
  ( 118 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=1257698080821893649965656268769551561386291 (pp43)
 r2=2444700608743657571446769617615111125524512245960929287873490693266909697683 (pp76)
Version: GGNFS-0.77.1-20050930-k8
Total time: 15.32 hours.
Scaled time: 13.88 units (timescale=0.906).
Factorization parameters were as follows:
n: 3074695263801013246179651465377774841536765090589909013606376195809919254938620808513180930889035167934758547190663753
m: 100000000000000000000000000000
c5: 700
c0: 1
skew: 1
type: snfs
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [900000, 1725001)
Primes: RFBsize:135072, AFBsize:134603, largePrimes:2749251 encountered
Relations: rels:2756068, finalFF:334962
Max relations in full relation-set: 28
Initial matrix: 269742 x 334962 with sparse part having weight 19110574.
Pruned matrix : 236626 x 238038 with weight 11511077.
Total sieving time: 15.00 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.24 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,45,45,2.3,2.3,75000
total time: 15.32 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 06
Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 06
Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4671.61 BogoMIPS (lpj=2335806)
Calibrating delay using timer specific routine.. 4668.47 BogoMIPS (lpj=2334239)
Total of 2 processors activated (9340.09 BogoMIPS).
execution environment 実行環境
Core 2 Duo E6300@2.33GHz

7×10148+1

c131

name 名前Robert Backstrom
date 日付April 9, 2007 19:10:20 UTC 2007 年 4 月 10 日 (火) 4 時 10 分 20 秒 (日本時間)
composite number 合成数
18996314062339835051280977654167871538038033379285440954628687044055360698019796646292113856477734419790670423046806412629077190091<131>
prime factors 素因数
22029725720760974922384230516355618304117854041<47>
862303702875318574684178933529694530368164638218030948135135277879348224342523674051<84>
factorization results 素因数分解の結果
Number: n
N=18996314062339835051280977654167871538038033379285440954628687044055360698019796646292113856477734419790670423046806412629077190091
  ( 131 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=22029725720760974922384230516355618304117854041 (pp47)
 r2=862303702875318574684178933529694530368164638218030948135135277879348224342523674051 (pp84)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 23.53 hours.
Scaled time: 27.62 units (timescale=1.174).
Factorization parameters were as follows:
name: KA_7_0_147_1
n: 18996314062339835051280977654167871538038033379285440954628687044055360698019796646292113856477734419790670423046806412629077190091
type: snfs
skew: 1.7
deg: 5
c5: 7
c0: 100
m: 1000000000000000000000000000000
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
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, 1000000)
Primes: RFBsize:216816, AFBsize:216861, largePrimes:6027370 encountered
Relations: rels:5537118, finalFF:521472
Max relations in full relation-set: 28
Initial matrix: 433744 x 521472 with sparse part having weight 22021191.
Pruned matrix : 345863 x 348095 with weight 11418721.
Total sieving time: 21.50 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 1.71 hours.
Total square root time: 0.13 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.3,2.3,100000
total time: 23.53 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

7×10149+1

c135

name 名前Jo Yeong Uk
date 日付April 9, 2007 22:43:41 UTC 2007 年 4 月 10 日 (火) 7 時 43 分 41 秒 (日本時間)
composite number 合成数
138746900008042067535370063618473556687052409299714471241482567692765626546602017744157274419812068105656310602659059177232164215248309<135>
prime factors 素因数
27592287833712963754580710491390334851359<41>
5028466680407615659824747536024164572850397380074196151582478698822339725661178413486182331051<94>
factorization results 素因数分解の結果
Number: 70001_149
N=138746900008042067535370063618473556687052409299714471241482567692765626546602017744157274419812068105656310602659059177232164215248309
  ( 135 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=27592287833712963754580710491390334851359 (pp41)
 r2=5028466680407615659824747536024164572850397380074196151582478698822339725661178413486182331051 (pp94)
Version: GGNFS-0.77.1-20050930-k8
Total time: 18.01 hours.
Scaled time: 16.32 units (timescale=0.906).
Factorization parameters were as follows:
n: 138746900008042067535370063618473556687052409299714471241482567692765626546602017744157274419812068105656310602659059177232164215248309
m: 1000000000000000000000000000000
c5: 7
c0: 10
skew: 1.07
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, 2100001)
Primes: RFBsize:176302, AFBsize:176463, largePrimes:5488427 encountered
Relations: rels:5366494, finalFF:447917
Max relations in full relation-set: 28
Initial matrix: 352830 x 447917 with sparse part having weight 39079032.
Pruned matrix : 310526 x 312354 with weight 23800589.
Total sieving time: 17.11 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.77 hours.
Time per square root: 0.04 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: 18.01 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 06
Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 06
Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4671.64 BogoMIPS (lpj=2335820)
Calibrating delay using timer specific routine.. 4668.46 BogoMIPS (lpj=2334232)
Total of 2 processors activated (9340.10 BogoMIPS).
execution environment 実行環境
Core 2 Duo E6300@2.33GHz

7×10150+1

c130

name 名前Robert Backstrom
date 日付April 9, 2007 18:50:19 UTC 2007 年 4 月 10 日 (火) 3 時 50 分 19 秒 (日本時間)
composite number 合成数
1629024922336050068657788659269692317382596619897579011120619204318148940361751514344610856083178940847911436720610767527695462733<130>
prime factors 素因数
565102429506584132764175102442628047540137331998418471757<57>
2882707341673302681845839339823884543514446084956768454184275090583469569<73>
factorization results 素因数分解の結果
Number: n
N=1629024922336050068657788659269692317382596619897579011120619204318148940361751514344610856083178940847911436720610767527695462733
  ( 130 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=565102429506584132764175102442628047540137331998418471757 (pp57)
 r2=2882707341673302681845839339823884543514446084956768454184275090583469569 (pp73)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 15.03 hours.
Scaled time: 21.67 units (timescale=1.442).
Factorization parameters were as follows:
name: KA_7_0_149_1
n: 1629024922336050068657788659269692317382596619897579011120619204318148940361751514344610856083178940847911436720610767527695462733
skew: 0.68
deg: 5
c5: 7
c0: 1
m: 1000000000000000000000000000000
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 algebraic special-q in [100000, 700001)
Primes: RFBsize:216816, AFBsize:216696, largePrimes:6671835 encountered
Relations: rels:6397715, finalFF:678424
Max relations in full relation-set: 28
Initial matrix: 433579 x 678424 with sparse part having weight 37818009.
Pruned matrix : 218215 x 220446 with weight 16835240.
Total sieving time: 13.48 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.35 hours.
Total square root time: 0.04 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 15.03 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

7×10153+1

c103

name 名前Robert Backstrom
date 日付April 4, 2007 09:36:22 UTC 2007 年 4 月 4 日 (水) 18 時 36 分 22 秒 (日本時間)
composite number 合成数
1303891421222158604889622403293944071097326927126097450134813176818786211954776461416116966779215575001<103>
prime factors 素因数
20339748706129911647205888791801144203<38>
64105581640209598722446044764182036063686833229677824048410717867<65>
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 1303891421222158604889622403293944071097326927126097450134813176818786211954776461416116966779215575001 (103 digits)
Using B1=477500, B2=292845455, polynomial Dickson(3), sigma=1974761456
Step 1 took 4219ms
Step 2 took 2797ms
********** Factor found in step 2: 20339748706129911647205888791801144203
Found probable prime factor of 38 digits: 20339748706129911647205888791801144203
Probable prime cofactor 64105581640209598722446044764182036063686833229677824048410717867 has 65 digits

7×10154+1

c126

name 名前Robert Backstrom
date 日付May 3, 2007 07:25:18 UTC 2007 年 5 月 3 日 (木) 16 時 25 分 18 秒 (日本時間)
composite number 合成数
185575224909584348798499980746588371732865042833545760086485528245996049062231370685862811259790810958949845914972371908014787<126>
prime factors 素因数
193370246682439687632641395275617696499919070409857<51>
959688618561589603204660736875782818852796083063317811556994979114317575491<75>
factorization results 素因数分解の結果
Number: n
N=185575224909584348798499980746588371732865042833545760086485528245996049062231370685862811259790810958949845914972371908014787
  ( 126 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=193370246682439687632641395275617696499919070409857 (pp51)
 r2=959688618561589603204660736875782818852796083063317811556994979114317575491 (pp75)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 28.11 hours.
Scaled time: 40.70 units (timescale=1.448).
Factorization parameters were as follows:
name: KA_7_0_153_1
n: 185575224909584348798499980746588371732865042833545760086485528245996049062231370685862811259790810958949845914972371908014787
skew: 1.07
deg: 5
c5: 7
c0: 10
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 algebraic special-q in [100000, 1300001)
Primes: RFBsize:216816, AFBsize:217031, largePrimes:7072813 encountered
Relations: rels:6598043, finalFF:530393
Max relations in full relation-set: 28
Initial matrix: 433912 x 530393 with sparse part having weight 36370966.
Pruned matrix : 353629 x 355862 with weight 21272652.
Total sieving time: 24.79 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 3.07 hours.
Total square root time: 0.06 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 28.11 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

7×10155+1

c150

name 名前Robert Backstrom
date 日付April 3, 2007 00:34:07 UTC 2007 年 4 月 3 日 (火) 9 時 34 分 7 秒 (日本時間)
composite number 合成数
519713088677159426444635335886856975700443315264641616990757273941511489000272478147920739299293115954672109300117232423860176390622297027909335309233<150>
prime factors 素因数
55130793260966415361235729756577932205405829083406166227977587<62>
9426911131444313172543736731542159160773688947699429609478209619825750212976152411926859<88>
factorization results 素因数分解の結果
Number: n
N=519713088677159426444635335886856975700443315264641616990757273941511489000272478147920739299293115954672109300117232423860176390622297027909335309233
  ( 150 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=55130793260966415361235729756577932205405829083406166227977587 (pp62)
 r2=9426911131444313172543736731542159160773688947699429609478209619825750212976152411926859 (pp88)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 27.19 hours.
Scaled time: 27.90 units (timescale=1.026).
Factorization parameters were as follows:
name: KA_7_0_154_1
n: 519713088677159426444635335886856975700443315264641616990757273941511489000272478147920739299293115954672109300117232423860176390622297027909335309233
type: snfs
skew: .68
deg: 5
c5: 7
c0: 1
m: 10000000000000000000000000000000
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1100001)
Primes: RFBsize:216816, AFBsize:216696, largePrimes:6092352 encountered
Relations: rels:5565111, finalFF:487372
Max relations in full relation-set: 48
Initial matrix: 433579 x 487372 with sparse part having weight 24045932.
Pruned matrix : 379538 x 381769 with weight 14885224.
Total sieving time: 24.79 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.03 hours.
Total square root time: 0.15 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.3,2.3,100000
total time: 27.19 hours.
 --------- CPU info (if available) ----------
CPU: AMD Athlon(tm) XP 3000+ stepping 00
Memory: 2076900k/2097088k available (1540k kernel code, 19412k reserved, 599k data, 144k init, 0k highmem)
Calibrating delay loop... 4292.60 BogoMIPS
x86info v1.12b.  Dave Jones 2001-2003
Feedback to <davej@redhat.com>.

Found 1 CPU
--------------------------------------------------------------------------
Family: 6 Model: 10 Stepping: 0
CPU Model : Athlon XP (Barton)
2.2Ghz processor (estimate).

7×10157+1

c92

name 名前Robert Backstrom
date 日付April 1, 2007 13:47:19 UTC 2007 年 4 月 1 日 (日) 22 時 47 分 19 秒 (日本時間)
composite number 合成数
50934646257027501761195466390338358257517450725863747999950593705003914525713753040194828469<92>
prime factors 素因数
58723657563182981121109730736410322969118927<44>
867361611497461809778725449710059255808380370747<48>
factorization results 素因数分解の結果
Number: n
N=50934646257027501761195466390338358257517450725863747999950593705003914525713753040194828469
  ( 92 digits)
Divisors found:
 r1=58723657563182981121109730736410322969118927 (pp44)
 r2=867361611497461809778725449710059255808380370747 (pp48)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 4.26 hours.
Scaled time: 4.37 units (timescale=1.027).
Factorization parameters were as follows:
name: KA_7_0_156_1
n:  50934646257027501761195466390338358257517450725863747999950593705003914525713753040194828469
m:  1232264682236136063145
deg: 4
c4: 22090080
c3: -246466740744
c2: -33306940536444256
c1: 1000581673960989041
c0: 43321014325197429213924
skew: 1635.250
type: gnfs
# adj. I(F,S) = 53.214
# E(F1,F2) = 1.198140e-04
# GGNFS version 0.77.1-20051202-athlon polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=58.00000000, seed=1175417502.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 700000
alim: 700000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.4
alambda: 2.4
qintsize: 40000

type: gnfs
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [175000, 655001)
Primes: RFBsize:56543, AFBsize:57008, largePrimes:1529129 encountered
Relations: rels:1493247, finalFF:136569
Max relations in full relation-set: 48
Initial matrix: 113627 x 136569 with sparse part having weight 12059376.
Pruned matrix : 106514 x 107146 with weight 7026392.
Polynomial selection time: 0.17 hours.
Total sieving time: 3.73 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.17 hours.
Total square root time: 0.10 hours, sqrts: 3.
Prototype def-par.txt line would be:
gnfs,91,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,700000,700000,25,25,44,44,2.4,2.4,40000
total time: 4.26 hours.
 --------- CPU info (if available) ----------
CPU: AMD Athlon(tm) XP 3000+ stepping 00
Memory: 2076900k/2097088k available (1540k kernel code, 19412k reserved, 599k data, 144k init, 0k highmem)
Calibrating delay loop... 4292.60 BogoMIPS
x86info v1.12b.  Dave Jones 2001-2003
Feedback to <davej@redhat.com>.

Found 1 CPU
--------------------------------------------------------------------------
Family: 6 Model: 10 Stepping: 0
CPU Model : Athlon XP (Barton)
2.2Ghz processor (estimate).

7×10163+1

c134

name 名前Robert Backstrom
date 日付April 4, 2008 02:08:24 UTC 2008 年 4 月 4 日 (金) 11 時 8 分 24 秒 (日本時間)
composite number 合成数
43277428820287843704931976867461084748542006794075993513996138833643569977396426813266834171274514636681677977157534242400032147018983<134>
prime factors 素因数
402780568113496127134113047287312945816114000773181<51>
107446665123360825440701365404164787206317314310967090805791720700790075639081056243<84>
factorization results 素因数分解の結果
Number: n
N=43277428820287843704931976867461084748542006794075993513996138833643569977396426813266834171274514636681677977157534242400032147018983
  ( 134 digits)
SNFS difficulty: 163 digits.
Divisors found:

Fri Apr  4 12:59:40 2008  prp51 factor: 402780568113496127134113047287312945816114000773181
Fri Apr  4 12:59:40 2008  prp84 factor: 107446665123360825440701365404164787206317314310967090805791720700790075639081056243
Fri Apr  4 12:59:40 2008  elapsed time 00:46:52 (Msieve 1.33)

Version: GGNFS-0.77.1-20050930-k8
Total time: 46.82 hours.
Scaled time: 39.19 units (timescale=0.837).
Factorization parameters were as follows:
name: KA_7_0_162_1
n: 43277428820287843704931976867461084748542006794075993513996138833643569977396426813266834171274514636681677977157534242400032147018983
type: snfs
deg: 5
c5: 7000
c0: 1
skew: 0.17
m: 100000000000000000000000000000000
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, 2800000)
Primes: RFBsize:216816, AFBsize:216861, largePrimes:5723566 encountered
Relations: rels:5651846, finalFF:500770
Max relations in full relation-set: 28
Initial matrix: 433744 x 500770 with sparse part having weight 45553627.
Pruned matrix : 406474 x 408706 with weight 33499165.
Total sieving time: 46.61 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.5,2.5,100000
total time: 46.82 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... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

7×10164+1

c143

name 名前Robert Backstrom
date 日付January 23, 2008 05:20:03 UTC 2008 年 1 月 23 日 (水) 14 時 20 分 3 秒 (日本時間)
composite number 合成数
10726093807938100380941104602089661772874937656392292672836679543626950747738348408334379189320094232984694581540360379030131023025802572869723<143>
prime factors 素因数
4011137403054399824497281514214954974908736320403030763817761<61>
2674077881194096559726374285341983014251581688108917524458192840920208139039746043<82>
factorization results 素因数分解の結果
Number: n
N=10726093807938100380941104602089661772874937656392292672836679543626950747738348408334379189320094232984694581540360379030131023025802572869723
  ( 143 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=4011137403054399824497281514214954974908736320403030763817761 (pp61)
 r2=2674077881194096559726374285341983014251581688108917524458192840920208139039746043 (pp82)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 51.39 hours.
Scaled time: 93.99 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_7_0_163_1
n: 10726093807938100380941104602089661772874937656392292672836679543626950747738348408334379189320094232984694581540360379030131023025802572869723
skew: 1.07
deg: 5
c5: 7
c0: 10
m: 1000000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 3400001)
Primes: RFBsize:250150, AFBsize:250406, largePrimes:7753552 encountered
Relations: rels:7254296, finalFF:580211
Max relations in full relation-set: 48
Initial matrix: 500621 x 580211 with sparse part having weight 54263099.
Pruned matrix : 464913 x 467480 with weight 37063090.
Total sieving time: 48.91 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 2.16 hours.
Total square root time: 0.14 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 51.39 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

7×10166+1

c134

name 名前Justin Card
date 日付September 24, 2008 01:39:43 UTC 2008 年 9 月 24 日 (水) 10 時 39 分 43 秒 (日本時間)
composite number 合成数
52785846323829097015703542990556850979883528135952978084427866439294004697060090080086165672931785725911862903245367422061368419629947<134>
prime factors 素因数
1913290242196232539268012066652201280412112493917178819<55>
27589042770237067407217839796789774556735213612294539601853969868354417611828713<80>
factorization results 素因数分解の結果
Number: 70001_166
N=52785846323829097015703542990556850979883528135952978084427866439294004697060090080086165672931785725911862903245367422061368419629947
  ( 134 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=1913290242196232539268012066652201280412112493917178819
 r2=27589042770237067407217839796789774556735213612294539601853969868354417611828713
Version:
Total time: 90.40 hours.
Scaled time: 189.48 units (timescale=2.096).
Factorization parameters were as follows:
n: 52785846323829097015703542990556850979883528135952978084427866439294004697060090080086165672931785725911862903245367422061368419629947
m: 1000000000000000000000000000000000
c5: 70
c4: 0
c3: 0
c2: 0
c1: 0
c0: 1
Y1: 1
Y0: -1000000000000000000000000000000000
skew: 0.43
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, 5700001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 603990 x 604208
Total sieving time: 90.40 hours.
Total relation processing time: 1.58 hours.
Matrix solve time: 1.25 hours.
Time per square root: 0.19 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: 93.42 hours.
 --------- CPU info (if available) ----------
[   27.172216] Memory: 3055428k/3111872k available (2523k kernel code, 56056k reserved, 1328k data, 328k init)
[   27.318604] Calibrating delay using timer specific routine.. 3982.80 BogoMIPS (lpj=19914039)
[   28.066173] Calibrating delay using timer specific routine.. 3979.59 BogoMIPS (lpj=19897994)
execution environment 実行環境
AMD Athlon(tm) 64 X2 Dual Core Processor 3600+
3 GB RAM
Running Ubuntu Linux 8.04 64-bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 1, 2007 09:00:00 UTC 2007 年 4 月 1 日 (日) 18 時 0 分 0 秒 (日本時間)
351e6904Jo Yeong UkJuly 24, 2008 07:48:59 UTC 2008 年 7 月 24 日 (木) 16 時 48 分 59 秒 (日本時間)
403e6102 / 2089Jo Yeong UkJuly 24, 2008 07:49:05 UTC 2008 年 7 月 24 日 (木) 16 時 49 分 5 秒 (日本時間)

7×10167+1

c139

name 名前Robert Backstrom
date 日付February 8, 2008 19:12:51 UTC 2008 年 2 月 9 日 (土) 4 時 12 分 51 秒 (日本時間)
composite number 合成数
7436831138332221224420275127273952820685178319948679095706727084642616657746921141096001903918940925425599548776652328159381358179440022643<139>
prime factors 素因数
45944168788570289296719424358942927<35>
161866703314530544206931137643404221120769747950795429104385791774237543764981165611916824698958062426909<105>
factorization results 素因数分解の結果
GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 7436831138332221224420275127273952820685178319948679095706727084642616657746921141096001903918940925425599548776652328159381358179440022643 (139 digits)
Using B1=1160000, B2=1037260997, polynomial Dickson(6), sigma=3892956357
Step 1 took 11780ms
Step 2 took 6399ms
********** Factor found in step 2: 45944168788570289296719424358942927
Found probable prime factor of 35 digits: 45944168788570289296719424358942927
Probable prime cofactor 161866703314530544206931137643404221120769747950795429104385791774237543764981165611916824698958062426909 has 105 digits

7×10168+1

c169

name 名前Jo Yeong Uk
date 日付April 6, 2007 10:00:36 UTC 2007 年 4 月 6 日 (金) 19 時 0 分 36 秒 (日本時間)
composite number 合成数
7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<169>
prime factors 素因数
39874420514155621405930029196213<32>
175551140549239192504522004124894766597610705708295751211644739831183679452961360088433039867758405935282447575807483052676447787480773277<138>
factorization results 素因数分解の結果
GMP-ECM 6.1.1 [powered by GMP 4.1.4] [ECM]
Input number is 7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 (169 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1122796349
Step 1 took 11785ms
Step 2 took 5926ms
********** Factor found in step 2: 39874420514155621405930029196213
Found probable prime factor of 32 digits: 39874420514155621405930029196213
Probable prime cofactor 175551140549239192504522004124894766597610705708295751211644739831183679452961360088433039867758405935282447575807483052676447787480773277 has 138 digits
execution environment 実行環境
Core 2 Duo E6300@2.33GHz

7×10171+1

c132

name 名前Robert Backstrom
date 日付August 12, 2008 19:21:52 UTC 2008 年 8 月 13 日 (水) 4 時 21 分 52 秒 (日本時間)
composite number 合成数
160359850651629945461944240259645771874404447072720162496779693713209755727886000401869392743329096141003431765463464291239415474271<132>
prime factors 素因数
640757244242093195737825269513973688101421<42>
250266153200200437607062854749076319929624557778915248618363969037755267406743304872865851<90>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 160359850651629945461944240259645771874404447072720162496779693713209755727886000401869392743329096141003431765463464291239415474271 (132 digits)
Using B1=7574000, B2=17126054410, polynomial Dickson(12), sigma=1044013304
Step 1 took 74779ms
Step 2 took 28730ms
********** Factor found in step 2: 640757244242093195737825269513973688101421
Found probable prime factor of 42 digits: 640757244242093195737825269513973688101421
Probable prime cofactor 250266153200200437607062854749076319929624557778915248618363969037755267406743304872865851 has 90 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 1, 2007 09:00:00 UTC 2007 年 4 月 1 日 (日) 18 時 0 分 0 秒 (日本時間)

7×10172+1

c137

name 名前Sinkiti Sibata
date 日付March 15, 2010 12:36:56 UTC 2010 年 3 月 15 日 (月) 21 時 36 分 56 秒 (日本時間)
composite number 合成数
45804522546961108363690889338886536418357525610678706451761158031531237864633614184826046249774735378054117018000729448410692562395216669<137>
prime factors 素因数
1729886492471252763870965272592750279236691610626561<52>
26478339906294335929258650981294604168689957012271868771914007551648773172005815302429<86>
factorization results 素因数分解の結果
Number: 70001_172
N=45804522546961108363690889338886536418357525610678706451761158031531237864633614184826046249774735378054117018000729448410692562395216669
  ( 137 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=1729886492471252763870965272592750279236691610626561 (pp52)
 r2=26478339906294335929258650981294604168689957012271868771914007551648773172005815302429 (pp86)
Version: Msieve-1.40
Total time: 72.08 hours.
Scaled time: 169.90 units (timescale=2.357).
Factorization parameters were as follows:
name: 70001_172
n: 45804522546961108363690889338886536418357525610678706451761158031531237864633614184826046249774735378054117018000729448410692562395216669
m: 10000000000000000000000000000000000
deg: 5
c5: 700
c0: 1
skew: 0.27
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, 5250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 951243 x 951491
Total sieving time: 69.64 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 2.17 hours.
Time per square root: 0.13 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: 72.08 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 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 KamadaApril 1, 2007 09:00:00 UTC 2007 年 4 月 1 日 (日) 18 時 0 分 0 秒 (日本時間)
351e6900Lionel DebrouxSeptember 25, 2009 05:50:53 UTC 2009 年 9 月 25 日 (金) 14 時 50 分 53 秒 (日本時間)
403e62091Wataru SakaiDecember 8, 2009 14:57:08 UTC 2009 年 12 月 8 日 (火) 23 時 57 分 8 秒 (日本時間)

7×10173+1

c136

name 名前Serge Batalov
date 日付August 7, 2008 05:45:52 UTC 2008 年 8 月 7 日 (木) 14 時 45 分 52 秒 (日本時間)
composite number 合成数
1738437932582629242674974787478193343324933290349674767871249337804825522938802498906711053695312530359751600794092136866309180045009971<136>
prime factors 素因数
992595949608553727415223604789713<33>
1626878119033344343859043164870647<34>
1076543722683910823425060595208148712881299436943475382391159481127061<70>
factorization results 素因数分解の結果
#ECM, then gnfs/Msieve
#
Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=3918156657
Step 1 took 4876ms
Step 2 took 3917ms
********** Factor found in step 2: 1626878119033344343859043164870647
Found probable prime factor of 34 digits: 1626878119033344343859043164870647
Composite cofactor 1068572938712563985973724191660647332399339731320429804051791387573023191775826284252964977667138723493 has 103 digits

Number: 70001_173
N=1068572938712563985973724191660647332399339731320429804051791387573023191775826284252964977667138723493
  ( 103 digits)
Divisors found:
 r1=992595949608553727415223604789713
 r2=1076543722683910823425060595208148712881299436943475382391159481127061
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.735).
Factorization parameters were as follows:
name: 70001_173
n: 1068572938712563985973724191660647332399339731320429804051791387573023191775826284252964977667138723493
skew: 15552.49
# norm 5.16e+13
c5: 2940
c4: 129072552
c3: 676512448813
c2: -10144897000555416
c1: -183754969317295252134
c0: 1149836521829367843055935
# alpha -4.98
Y1: 2140818119
Y0: -51533686343477739386
# Murphy_E 2.69e-09
# M 737117335365418159696785999293603511904503343401603691135378419973771783304690523634342544985619791933
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1850001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 273072 x 273320
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 4.00 hours.
software ソフトウェア
GMP-ECM 6.2.1+pol51+Msieve 1.36
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 1, 2007 09:00:00 UTC 2007 年 4 月 1 日 (日) 18 時 0 分 0 秒 (日本時間)

7×10175+1

c163

name 名前matsui
date 日付April 22, 2009 04:38:15 UTC 2009 年 4 月 22 日 (水) 13 時 38 分 15 秒 (日本時間)
composite number 合成数
5945358239123625634011428660866607620137468294219930437924782752600840851464522625179701735071778160104909516766334428716890094478708550908337237518092811760086913<163>
prime factors 素因数
546424038802294846052914856058998495168369<42>
50847756028512910420533268455094582971422236487293<50>
213981604431953258247908719407251822585834319843385691315588724389559589<72>
factorization results 素因数分解の結果
N=5945358239123625634011428660866607620137468294219930437924782752600840851464522625179701735071778160104909516766334428716890094478708550908337237518092811760086913
  ( 163 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=546424038802294846052914856058998495168369 (pp42)
 r2=50847756028512910420533268455094582971422236487293 (pp50)
 r3=213981604431953258247908719407251822585834319843385691315588724389559589 (pp72)
Version: GGNFS-0.77.1-20060722-nocona

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 1, 2007 09:00:00 UTC 2007 年 4 月 1 日 (日) 18 時 0 分 0 秒 (日本時間)

7×10176+1

c135

name 名前Serge Batalov
date 日付August 6, 2008 10:27:21 UTC 2008 年 8 月 6 日 (水) 19 時 27 分 21 秒 (日本時間)
composite number 合成数
597207264477110440371088580460182795388068017291244933442217664597865325513358721685184143690652799129267794774236733302379050265326549<135>
prime factors 素因数
1772201439222433182847040694601969<34>
5991250959750702185019813412247610703<37>
56246368184668911475605266297942702738852214410521358324628735307<65>
factorization results 素因数分解の結果
Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=2065754217
Step 1 took 5600ms
Step 2 took 4742ms
********** Factor found in step 2: 1772201439222433182847040694601969
Found probable prime factor of 34 digits: 1772201439222433182847040694601969
Composite cofactor 336986107368888976471366024639581785112633102180421790362775621820602859352332968805952760847367190821 has 102 digits

###############

Number: 70001_176
N=336986107368888976471366024639581785112633102180421790362775621820602859352332968805952760847367190821
  ( 102 digits)
Divisors found:
 r1=5991250959750702185019813412247610703
 r2=56246368184668911475605266297942702738852214410521358324628735307
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.733).
Factorization parameters were as follows:
name: 70001_176
n: 336986107368888976471366024639581785112633102180421790362775621820602859352332968805952760847367190821
skew: 18092.55
# norm 1.99e+14
c5: 16200
c4: -373096506
c3: -18175238641255
c2: 93488919046435403
c1: 2228251158484755140423
c0: -8104158565189225548153465
# alpha -6.17
Y1: 29364628573
Y0: -29081808910847114186
# Murphy_E 2.67e-09
# M 33119094929976627800365643652595188224806067163363174832636013768729150414878055117168569981305608454
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1750001)
Primes: rational ideals filtering, algebraic ideals filtering,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 251394 x 251640
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,101,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000

total time: 4.00 hours.
software ソフトウェア
GMP-ECM 6.2.1+Msieve-1.36/gnfs
execution environment 実行環境
Opteron-2.2GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 1, 2007 09:00:00 UTC 2007 年 4 月 1 日 (日) 18 時 0 分 0 秒 (日本時間)

7×10177+1

c155

name 名前Jo Yeong Uk
date 日付April 9, 2010 02:44:35 UTC 2010 年 4 月 9 日 (金) 11 時 44 分 35 秒 (日本時間)
composite number 合成数
38707535429769271817933736813700841775495968708953177384101306584707082371531056965919785749273345311849031914872617006519943577262553709195836398681509623<155>
prime factors 素因数
1144423847222026461367968957138227525885867288802638771749<58>
33822727063690530921073941085820990588251786480748806377471603628050005835995594966694479465627627<98>
factorization results 素因数分解の結果
Number: 70001_177
N=38707535429769271817933736813700841775495968708953177384101306584707082371531056965919785749273345311849031914872617006519943577262553709195836398681509623
  ( 155 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=1144423847222026461367968957138227525885867288802638771749
 r2=33822727063690530921073941085820990588251786480748806377471603628050005835995594966694479465627627
Version: 
Total time: 52.39 hours.
Scaled time: 124.91 units (timescale=2.384).
Factorization parameters were as follows:
n: 38707535429769271817933736813700841775495968708953177384101306584707082371531056965919785749273345311849031914872617006519943577262553709195836398681509623
m: 100000000000000000000000000000000000
deg: 5
c5: 700
c0: 1
skew: 0.27
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4000000, 7300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 17837549
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1333530 x 1333778
Total sieving time: 44.30 hours.
Total relation processing time: 3.00 hours.
Matrix solve time: 4.55 hours.
Time per square root: 0.55 hours.
Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,53,53,2.5,2.5,100000
total time: 52.39 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 1, 2007 09:00:00 UTC 2007 年 4 月 1 日 (日) 18 時 0 分 0 秒 (日本時間)

7×10180+1

c132

name 名前Jo Yeong Uk
date 日付April 12, 2010 11:13:41 UTC 2010 年 4 月 12 日 (月) 20 時 13 分 41 秒 (日本時間)
composite number 合成数
459004278820866487459437679274030108176266123818772470407638613819424111428109898761423535317510385492788692576664286169842068059961<132>
prime factors 素因数
7661490366139566446798966070947300571261638662078538221<55>
59910573124188012800381184539160322443650207109608875457020039287966758514941<77>
factorization results 素因数分解の結果
Number: 70001_180
N=459004278820866487459437679274030108176266123818772470407638613819424111428109898761423535317510385492788692576664286169842068059961
  ( 132 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=7661490366139566446798966070947300571261638662078538221
 r2=59910573124188012800381184539160322443650207109608875457020039287966758514941
Version: 
Total time: 67.64 hours.
Scaled time: 161.73 units (timescale=2.391).
Factorization parameters were as follows:
n: 459004278820866487459437679274030108176266123818772470407638613819424111428109898761423535317510385492788692576664286169842068059961
m: 1000000000000000000000000000000000000
deg: 5
c5: 7
c0: 1
skew: 0.68
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [2700000, 4600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18064536
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1102887 x 1103135
Total sieving time: 62.84 hours.
Total relation processing time: 1.79 hours.
Matrix solve time: 2.88 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,5400000,5400000,28,28,53,53,2.5,2.5,100000
total time: 67.64 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 1, 2007 09:00:00 UTC 2007 年 4 月 1 日 (日) 18 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkApril 8, 2010 23:36:08 UTC 2010 年 4 月 9 日 (金) 8 時 36 分 8 秒 (日本時間)

7×10181+1

c159

name 名前Jo Yeong Uk
date 日付April 15, 2010 14:37:06 UTC 2010 年 4 月 15 日 (木) 23 時 37 分 6 秒 (日本時間)
composite number 合成数
616376906317938281784449531477521656598628885351985919643241270030520509882761600524786113407223423824129005771794575684162436994758092692579807465847277894691<159>
prime factors 素因数
1163758540886892142057804574557793566313774324590007<52>
15290044086607599920811066936958074079383149382493153<53>
34639749264300926764106750653359853464270168546755427221<56>
factorization results 素因数分解の結果
Number: 70001_181
N=616376906317938281784449531477521656598628885351985919643241270030520509882761600524786113407223423824129005771794575684162436994758092692579807465847277894691
  ( 159 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=1163758540886892142057804574557793566313774324590007
 r2=15290044086607599920811066936958074079383149382493153
 r3=34639749264300926764106750653359853464270168546755427221
Version: 
Total time: 86.41 hours.
Scaled time: 206.44 units (timescale=2.389).
Factorization parameters were as follows:
n: 616376906317938281784449531477521656598628885351985919643241270030520509882761600524786113407223423824129005771794575684162436994758092692579807465847277894691
m: 1000000000000000000000000000000000000
deg: 5
c5: 70
c0: 1
skew: 0.43
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3100000, 5500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 17952674
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1357753 x 1358000
Total sieving time: 79.56 hours.
Total relation processing time: 2.18 hours.
Matrix solve time: 4.16 hours.
Time per square root: 0.51 hours.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000
total time: 86.41 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 1, 2007 09:00:00 UTC 2007 年 4 月 1 日 (日) 18 時 0 分 0 秒 (日本時間)

7×10184+1

c162

name 名前Jo Yeong Uk
date 日付April 20, 2010 23:55:50 UTC 2010 年 4 月 21 日 (水) 8 時 55 分 50 秒 (日本時間)
composite number 合成数
342537899792275838330655968732054614832594917561401326091339011818975072989115740027383246620388207950150934801109882195561960802407243747352061514872764651757377<162>
prime factors 素因数
10720385743213976744960363751202582332539223737226730163789310098069<68>
31952012548531934919441863659102516564697183016636115618338798373100704924878111429176293511933<95>
factorization results 素因数分解の結果
Number: 70001_184
N=342537899792275838330655968732054614832594917561401326091339011818975072989115740027383246620388207950150934801109882195561960802407243747352061514872764651757377
  ( 162 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=10720385743213976744960363751202582332539223737226730163789310098069
 r2=31952012548531934919441863659102516564697183016636115618338798373100704924878111429176293511933
Version: 
Total time: 127.85 hours.
Scaled time: 305.56 units (timescale=2.390).
Factorization parameters were as follows:
n: 342537899792275838330655968732054614832594917561401326091339011818975072989115740027383246620388207950150934801109882195561960802407243747352061514872764651757377
m: 10000000000000000000000000000000000000
deg: 5
c5: 7
c0: 10
skew: 1.07
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3700000, 7200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20485995
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1641516 x 1641764
Total sieving time: 117.58 hours.
Total relation processing time: 3.70 hours.
Matrix solve time: 6.23 hours.
Time per square root: 0.33 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,54,54,2.5,2.5,100000
total time: 127.85 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 1, 2007 09:00:00 UTC 2007 年 4 月 1 日 (日) 18 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkApril 12, 2010 06:08:49 UTC 2010 年 4 月 12 日 (月) 15 時 8 分 49 秒 (日本時間)

7×10185+1

c150

name 名前Jo Yeong Uk
date 日付March 28, 2010 11:55:01 UTC 2010 年 3 月 28 日 (日) 20 時 55 分 1 秒 (日本時間)
composite number 合成数
186983145711998872151621380107283617743523846765162311326490113484149406571856132208433656235044004288419878293310788422126371943698074376213243933907<150>
prime factors 素因数
124799843126040139853583973137905993<36>
1498264268835317638740861311886614620581341911339706843765757747502239267429695244435778601442079954910294221994299<115>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 5.0.0] [ECM]
Input number is 186983145711998872151621380107283617743523846765162311326490113484149406571856132208433656235044004288419878293310788422126371943698074376213243933907 (150 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3255657909
Step 1 took 4121ms
Step 2 took 2428ms
********** Factor found in step 2: 124799843126040139853583973137905993
Found probable prime factor of 36 digits: 124799843126040139853583973137905993
Probable prime cofactor 1498264268835317638740861311886614620581341911339706843765757747502239267429695244435778601442079954910294221994299 has 115 digits
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 1, 2007 09:00:00 UTC 2007 年 4 月 1 日 (日) 18 時 0 分 0 秒 (日本時間)

7×10186+1

c179

name 名前Jo Yeong Uk
date 日付April 26, 2010 10:18:59 UTC 2010 年 4 月 26 日 (月) 19 時 18 分 59 秒 (日本時間)
composite number 合成数
15029810222214949702621999991639131284956426551141418861793888968054239287122187850310656622628113173706600072984329015926589614512357045114146115997408577298411666617930717758013<179>
prime factors 素因数
2637072207006861879397652165594950129472178505487241969697937369829151<70>
5699430672501051047902541639580244876448692243705493980775805037402308092806940908138307601033399740413046563<109>
factorization results 素因数分解の結果
Number: 70001_186
N=15029810222214949702621999991639131284956426551141418861793888968054239287122187850310656622628113173706600072984329015926589614512357045114146115997408577298411666617930717758013
  ( 179 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=2637072207006861879397652165594950129472178505487241969697937369829151
 r2=5699430672501051047902541639580244876448692243705493980775805037402308092806940908138307601033399740413046563
Version: 
Total time: 126.78 hours.
Scaled time: 301.62 units (timescale=2.379).
Factorization parameters were as follows:
n: 15029810222214949702621999991639131284956426551141418861793888968054239287122187850310656622628113173706600072984329015926589614512357045114146115997408577298411666617930717758013
m: 10000000000000000000000000000000000000
deg: 5
c5: 70
c0: 1
skew: 0.43
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4000000, 7400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20500996
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1645471 x 1645719
Total sieving time: 116.59 hours.
Total relation processing time: 3.65 hours.
Matrix solve time: 6.34 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,54,54,2.5,2.5,100000
total time: 126.78 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 1, 2007 09:00:00 UTC 2007 年 4 月 1 日 (日) 18 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkApril 12, 2010 06:09:09 UTC 2010 年 4 月 12 日 (月) 15 時 9 分 9 秒 (日本時間)

7×10190+1

c125

name 名前Robert Backstrom
date 日付January 27, 2008 13:35:58 UTC 2008 年 1 月 27 日 (日) 22 時 35 分 58 秒 (日本時間)
composite number 合成数
17669025417377882596968887609726137428003033194045838234629279850267494734550389813536204623250366691566767622428025563808557<125>
prime factors 素因数
355098879311614202406460897590438184483<39>
49758043313543013512337916205691953866857075376389549242886554315519833104914284256879<86>
factorization results 素因数分解の結果
GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 17669025417377882596968887609726137428003033194045838234629279850267494734550389813536204623250366691566767622428025563808557 (125 digits)
Using B1=1540000, B2=1553214248, polynomial Dickson(6), sigma=898811196
Step 1 took 12563ms
Step 2 took 6663ms
********** Factor found in step 2: 355098879311614202406460897590438184483
Found probable prime factor of 39 digits: 355098879311614202406460897590438184483
Probable prime cofactor 49758043313543013512337916205691953866857075376389549242886554315519833104914284256879 has 86 digits

7×10191+1

c151

name 名前Jo Yeong Uk
date 日付May 5, 2010 11:44:39 UTC 2010 年 5 月 5 日 (水) 20 時 44 分 39 秒 (日本時間)
composite number 合成数
1702423627678361954809315929461828350203816552561645118207624300268108951077018933765444654474353331670394168430397977906220931972578982457628054627719<151>
prime factors 素因数
500881825913992314314860812685238515894838537806105643255432993<63>
3398852862293089914345296433984518611686392712942554926958953192271806981140902754230183<88>
factorization results 素因数分解の結果
Number: 70001_191
N=1702423627678361954809315929461828350203816552561645118207624300268108951077018933765444654474353331670394168430397977906220931972578982457628054627719
  ( 151 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=500881825913992314314860812685238515894838537806105643255432993
 r2=3398852862293089914345296433984518611686392712942554926958953192271806981140902754230183
Version: 
Total time: 188.93 hours.
Scaled time: 451.55 units (timescale=2.390).
Factorization parameters were as follows:
n: 1702423627678361954809315929461828350203816552561645118207624300268108951077018933765444654474353331670394168430397977906220931972578982457628054627719
m: 100000000000000000000000000000000000000
deg: 5
c5: 70
c0: 1
skew: 0.43
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5500000, 10300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 21303327
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1967775 x 1968023
Total sieving time: 173.07 hours.
Total relation processing time: 5.41 hours.
Matrix solve time: 9.32 hours.
Time per square root: 1.14 hours.
Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,11000000,11000000,28,28,54,54,2.5,2.5,100000
total time: 188.93 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 1, 2007 09:00:00 UTC 2007 年 4 月 1 日 (日) 18 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkApril 10, 2010 03:46:23 UTC 2010 年 4 月 10 日 (土) 12 時 46 分 23 秒 (日本時間)

7×10193+1

c160

name 名前Jo Yeong Uk
date 日付May 16, 2010 15:18:33 UTC 2010 年 5 月 17 日 (月) 0 時 18 分 33 秒 (日本時間)
composite number 合成数
4979507974541433597365738024509158975992078914609300907050322765775804139600173271129286207481076441936244003985028550033691274922505111872628211217845313005561<160>
prime factors 素因数
416799264204760872538311419626193147745097254548873427679161241223<66>
11947017190738494041966249432399123577044765342551316421496675140896193359494307125720749979007<95>
factorization results 素因数分解の結果
Number: 70001_193
N=4979507974541433597365738024509158975992078914609300907050322765775804139600173271129286207481076441936244003985028550033691274922505111872628211217845313005561
  ( 160 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=416799264204760872538311419626193147745097254548873427679161241223
 r2=11947017190738494041966249432399123577044765342551316421496675140896193359494307125720749979007
Version: 
Total time: 261.75 hours.
Scaled time: 625.05 units (timescale=2.388).
Factorization parameters were as follows:
n: 4979507974541433597365738024509158975992078914609300907050322765775804139600173271129286207481076441936244003985028550033691274922505111872628211217845313005561
m: 1000000000000000000000000000000000000000
deg: 5
c5: 7
c0: 100
skew: 1.70
type: snfs
lss: 1
rlim: 13000000
alim: 13000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13000000/13000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6500000, 12900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 23303403
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2318033 x 2318279
Total sieving time: 239.49 hours.
Total relation processing time: 8.07 hours.
Matrix solve time: 13.53 hours.
Time per square root: 0.65 hours.
Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,13000000,13000000,28,28,55,55,2.5,2.5,100000
total time: 261.75 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 1, 2007 09:00:00 UTC 2007 年 4 月 1 日 (日) 18 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkApril 12, 2010 06:09:23 UTC 2010 年 4 月 12 日 (月) 15 時 9 分 23 秒 (日本時間)
403e62111Jo Yeong UkApril 30, 2010 08:32:11 UTC 2010 年 4 月 30 日 (金) 17 時 32 分 11 秒 (日本時間)

7×10195+1

c180

name 名前Jo Yeong Uk
date 日付May 23, 2010 14:49:52 UTC 2010 年 5 月 23 日 (日) 23 時 49 分 52 秒 (日本時間)
composite number 合成数
314330978112176756170892020233836852861158290880123136679735296147442066696688057651060066275013851055571784551760136372633451365657437290034850295352831994444579765584125457252037<180>
prime factors 素因数
27345778536021534559891834827169314256710931648974916905148450411<65>
11494680164184052663991007499150815250455971265649181086139724662638358173031963613986904051922820749271724449479567<116>
factorization results 素因数分解の結果
Number: 70001_195
N=314330978112176756170892020233836852861158290880123136679735296147442066696688057651060066275013851055571784551760136372633451365657437290034850295352831994444579765584125457252037
  ( 180 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=27345778536021534559891834827169314256710931648974916905148450411
 r2=11494680164184052663991007499150815250455971265649181086139724662638358173031963613986904051922820749271724449479567
Version: 
Total time: 210.05 hours.
Scaled time: 498.02 units (timescale=2.371).
Factorization parameters were as follows:
n: 314330978112176756170892020233836852861158290880123136679735296147442066696688057651060066275013851055571784551760136372633451365657437290034850295352831994444579765584125457252037
m: 1000000000000000000000000000000000000000
deg: 5
c5: 7
c0: 1
skew: 0.68
type: snfs
lss: 1
rlim: 12000000
alim: 12000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6000000, 11200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 22591188
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2218196 x 2218443
Total sieving time: 191.00 hours.
Total relation processing time: 6.28 hours.
Matrix solve time: 12.20 hours.
Time per square root: 0.58 hours.
Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12000000,12000000,28,28,55,55,2.5,2.5,100000
total time: 210.05 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 1, 2007 09:00:00 UTC 2007 年 4 月 1 日 (日) 18 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkApril 12, 2010 06:09:31 UTC 2010 年 4 月 12 日 (月) 15 時 9 分 31 秒 (日本時間)
403e62111Jo Yeong UkMay 1, 2010 11:47:31 UTC 2010 年 5 月 1 日 (土) 20 時 47 分 31 秒 (日本時間)

7×10196+1

c187

name 名前Jo Yeong Uk
date 日付March 28, 2010 11:55:25 UTC 2010 年 3 月 28 日 (日) 20 時 55 分 25 秒 (日本時間)
composite number 合成数
3740343504479472490515528554550606468852393955614664401067010292209659255073829918281456549774990170747297067496585596574102001581384853005867903842404724145367019780504670851921501819317<187>
prime factors 素因数
594199120193077001645309055358241879<36>
composite cofactor 合成数の残り
6294764460883244395152825887102021887202086167808892164411017046651048772434774800650596537340720392102296100312968428928476702578594783961416157235923<151>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 5.0.0] [ECM]
Input number is 3740343504479472490515528554550606468852393955614664401067010292209659255073829918281456549774990170747297067496585596574102001581384853005867903842404724145367019780504670851921501819317 (187 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=6156168597
Step 1 took 5701ms
Step 2 took 3025ms
********** Factor found in step 2: 594199120193077001645309055358241879
Found probable prime factor of 36 digits: 594199120193077001645309055358241879
Composite cofactor 6294764460883244395152825887102021887202086167808892164411017046651048772434774800650596537340720392102296100312968428928476702578594783961416157235923 has 151 digits
execution environment 実行環境
Core 2 Quad Q6700

c151

name 名前Jo Yeong Uk
date 日付March 29, 2010 22:49:37 UTC 2010 年 3 月 30 日 (火) 7 時 49 分 37 秒 (日本時間)
composite number 合成数
6294764460883244395152825887102021887202086167808892164411017046651048772434774800650596537340720392102296100312968428928476702578594783961416157235923<151>
prime factors 素因数
155958192256776607461677914766427083<36>
40361871151463849042790718793758421235896740788692674390815928089148405647260192809195875203996485372867989826323481<116>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 5.0.0] [ECM]
Input number is 6294764460883244395152825887102021887202086167808892164411017046651048772434774800650596537340720392102296100312968428928476702578594783961416157235923 (151 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2237009929
Step 1 took 4068ms
Step 2 took 2436ms
********** Factor found in step 2: 155958192256776607461677914766427083
Found probable prime factor of 36 digits: 155958192256776607461677914766427083
Probable prime cofactor 40361871151463849042790718793758421235896740788692674390815928089148405647260192809195875203996485372867989826323481 has 116 digits
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 1, 2007 09:00:00 UTC 2007 年 4 月 1 日 (日) 18 時 0 分 0 秒 (日本時間)

7×10197+1

c183

name 名前Jo Yeong Uk
date 日付May 25, 2010 04:46:26 UTC 2010 年 5 月 25 日 (火) 13 時 46 分 26 秒 (日本時間)
composite number 合成数
448838516941868417499425440664681100362291479464010908684153096612991077612112813896771510976203294280081563729687939129376663691811114690702635692568366367480681394210763927626542577<183>
prime factors 素因数
6649862800656602065695357765877549945685231793320527<52>
composite cofactor 合成数の残り
67495906366301341728934848192122130327564948684417410433498864054970967043799383969248710410245735518203705785994337355937235209151<131>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 5.0.0] [ECM]
Input number is 448838516941868417499425440664681100362291479464010908684153096612991077612112813896771510976203294280081563729687939129376663691811114690702635692568366367480681394210763927626542577 (183 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=8526517687
Step 1 took 63460ms
Step 2 took 23316ms
********** Factor found in step 2: 6649862800656602065695357765877549945685231793320527
Found probable prime factor of 52 digits: 6649862800656602065695357765877549945685231793320527
Composite cofactor 67495906366301341728934848192122130327564948684417410433498864054970967043799383969248710410245735518203705785994337355937235209151 has 131 digits
execution environment 実行環境
Core 2 Quad Q6700

c131

name 名前Jo Yeong Uk
date 日付June 3, 2010 12:42:54 UTC 2010 年 6 月 3 日 (木) 21 時 42 分 54 秒 (日本時間)
composite number 合成数
67495906366301341728934848192122130327564948684417410433498864054970967043799383969248710410245735518203705785994337355937235209151<131>
prime factors 素因数
350290855167544918210905040724772517249847051<45>
192685322413049850087575204207648665571479543825609940246715415270238306453252156307101<87>
factorization results 素因数分解の結果
Number: 70001_197
N=67495906366301341728934848192122130327564948684417410433498864054970967043799383969248710410245735518203705785994337355937235209151
  ( 131 digits)
Divisors found:
 r1=350290855167544918210905040724772517249847051
 r2=192685322413049850087575204207648665571479543825609940246715415270238306453252156307101
Version: 
Total time: 123.10 hours.
Scaled time: 294.34 units (timescale=2.391).
Factorization parameters were as follows:
name: 70001_197
n: 67495906366301341728934848192122130327564948684417410433498864054970967043799383969248710410245735518203705785994337355937235209151
skew: 74312.63
# norm 2.32e+18
c5: 568440
c4: 444298502148
c3: 42348746450855902
c2: -2414933871267056991923
c1: 3324752549234142574159948
c0: 416679601133448171616144368660
# alpha -6.49
Y1: 32104203910757
Y0: -10349475718991745447425419
# Murphy_E 7.24e-11
# M 23247563159035318801881585708359629986848500489367183332190325912393377469537399453802831158872512148078720096893840193624639417560
type: gnfs
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved algebraic special-q in [4200000, 7000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19019832
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1319515 x 1319763
Polynomial selection time: 12.32 hours.
Total sieving time: 102.94 hours.
Total relation processing time: 2.86 hours.
Matrix solve time: 4.27 hours.
Time per square root: 0.71 hours.
Prototype def-par.txt line would be:
gnfs,130,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,8400000,8400000,28,28,54,54,2.6,2.6,100000
total time: 123.10 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 1, 2007 09:00:00 UTC 2007 年 4 月 1 日 (日) 18 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkApril 12, 2010 06:09:40 UTC 2010 年 4 月 12 日 (月) 15 時 9 分 40 秒 (日本時間)
403e62111Jo Yeong UkMay 1, 2010 11:47:57 UTC 2010 年 5 月 1 日 (土) 20 時 47 分 57 秒 (日本時間)

7×10199+1

c191

name 名前Jo Yeong Uk
date 日付June 21, 2010 00:08:44 UTC 2010 年 6 月 21 日 (月) 9 時 8 分 44 秒 (日本時間)
composite number 合成数
96539652154034989437093272497942908956988783936327057276295708010217243744688758981792371979791288415977235751426222689761612278610253066299672190370887125164303075100020010049529544415217739<191>
prime factors 素因数
9164565419785211353947485730559067633598909453060553091<55>
12601421708673267908518642679052842255542705603661102143494833<62>
835938463122991700708024721076119775411047328115374627215348137414234571113<75>
factorization results 素因数分解の結果
Number: 70001_199
N=96539652154034989437093272497942908956988783936327057276295708010217243744688758981792371979791288415977235751426222689761612278610253066299672190370887125164303075100020010049529544415217739
  ( 191 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=9164565419785211353947485730559067633598909453060553091
 r2=12601421708673267908518642679052842255542705603661102143494833
 r3=835938463122991700708024721076119775411047328115374627215348137414234571113
Version: 
Total time: 410.12 hours.
Scaled time: 978.13 units (timescale=2.385).
Factorization parameters were as follows:
n: 96539652154034989437093272497942908956988783936327057276295708010217243744688758981792371979791288415977235751426222689761612278610253066299672190370887125164303075100020010049529544415217739
m: 10000000000000000000000000000000000000000
deg: 5
c5: 7
c0: 10
skew: 1.07
type: snfs
lss: 1
rlim: 17000000
alim: 17000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
Factor base limits: 17000000/17000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8500000, 17700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 38998358
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3297779 x 3298026
Total sieving time: 361.88 hours.
Total relation processing time: 18.56 hours.
Matrix solve time: 28.86 hours.
Time per square root: 0.82 hours.
Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,17000000,17000000,29,29,56,56,2.5,2.5,100000
total time: 410.12 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046580k/8912896k available (2573k kernel code, 339584k reserved, 1305k data, 212k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.64 BogoMIPS (lpj=2672823)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672377)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 1, 2007 09:00:00 UTC 2007 年 4 月 1 日 (日) 18 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkApril 12, 2010 06:09:46 UTC 2010 年 4 月 12 日 (月) 15 時 9 分 46 秒 (日本時間)
403e62111Jo Yeong UkMay 1, 2010 11:47:45 UTC 2010 年 5 月 1 日 (土) 20 時 47 分 45 秒 (日本時間)

7×10204+1

c147

name 名前Dmitry Domanov
date 日付November 15, 2010 20:21:59 UTC 2010 年 11 月 16 日 (火) 5 時 21 分 59 秒 (日本時間)
composite number 合成数
207395660848030289230918652266244987865033843033489974443723613927619009716213990593640051724027610160192733893101950217382479867456380609608397403<147>
prime factors 素因数
53777904637353086218640483293339<32>
3856521786160803640690544065730090348140212555829192120277270933053775455523420956866958793848702569300311829907777<115>
factorization results 素因数分解の結果
********** Factor found in step 2: 53777904637353086218640483293339
Found probable prime factor of 32 digits: 53777904637353086218640483293339
Probable prime cofactor 3856521786160803640690544065730090348140212555829192120277270933053775455523420956866958793848702569300311829907777 has 115 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 14, 2010 10:00:00 UTC 2010 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)

7×10205+1

c197

name 名前Serge Batalov
date 日付November 15, 2010 04:59:18 UTC 2010 年 11 月 15 日 (月) 13 時 59 分 18 秒 (日本時間)
composite number 合成数
27828146977794641829201633556593613727216545966445519258209320353496323635627884733049895254914407324492000546113867910687774214907874897565038212814352269166756190146781696050795992002790056376713<197>
prime factors 素因数
417152000935751155416755619152059727<36>
composite cofactor 合成数の残り
66709848964815759202156595466644097737481139983634577335404822249747000762497038734315266313600746536051326289263045669577067644557455081778699625226486641079719<161>
factorization results 素因数分解の結果
Using B1=4000000, B2=8561602150, polynomial Dickson(6), sigma=1295074837
Step 1 took 14148ms
Step 2 took 5930ms
********** Factor found in step 2: 417152000935751155416755619152059727
Found probable prime factor of 36 digits: 417152000935751155416755619152059727
Composite cofactor has 161 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 14, 2010 10:00:00 UTC 2010 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 23, 2010 21:18:30 UTC 2010 年 11 月 24 日 (水) 6 時 18 分 30 秒 (日本時間)
403e6110Ignacio SantosNovember 23, 2010 21:18:30 UTC 2010 年 11 月 24 日 (水) 6 時 18 分 30 秒 (日本時間)
4511e6632 / 443732Ignacio SantosNovember 23, 2010 21:18:30 UTC 2010 年 11 月 24 日 (水) 6 時 18 分 30 秒 (日本時間)
600Dmitry DomanovMay 15, 2011 17:46:01 UTC 2011 年 5 月 16 日 (月) 2 時 46 分 1 秒 (日本時間)

7×10206+1

c195

composite cofactor 合成数の残り
160043118200474352418041425841769474249544904255743169384460556266487640838118437695053219844355195868932858042067958894196777278337782584293580530082157474886441480078093981612877756574638493151<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6518118Makoto KamadaNovember 14, 2010 10:00:00 UTC 2010 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
400Dmitry DomanovNovember 20, 2010 21:11:57 UTC 2010 年 11 月 21 日 (日) 6 時 11 分 57 秒 (日本時間)
403e6400Dmitry DomanovNovember 20, 2010 21:11:57 UTC 2010 年 11 月 21 日 (日) 6 時 11 分 57 秒 (日本時間)
4511e6400 / 4017100Dmitry DomanovNovember 20, 2010 21:11:57 UTC 2010 年 11 月 21 日 (日) 6 時 11 分 57 秒 (日本時間)
300Dmitry DomanovNovember 20, 2010 21:12:19 UTC 2010 年 11 月 21 日 (日) 6 時 12 分 19 秒 (日本時間)
5043e6100 / 7446Dmitry DomanovNovember 20, 2010 21:12:19 UTC 2010 年 11 月 21 日 (日) 6 時 12 分 19 秒 (日本時間)

7×10207+1

c199

name 名前Serge Batalov
date 日付November 14, 2010 21:52:12 UTC 2010 年 11 月 15 日 (月) 6 時 52 分 12 秒 (日本時間)
composite number 合成数
4156830716915309703078122278732626899391125786024695817988805950608160931515929492832643722738253397798327128490515768207206994449162444009071323405605015549756548409676467932911215448103153492983159<199>
prime factors 素因数
1417415988991662763961289953<28>
2932682253621565551038172600503139175513084138231336518857873531344217824484202502381370937418160222920854917678447738930119798800860770550384474165852862317383359026806103<172>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=666130825
Step 1 took 7037ms
Step 2 took 3267ms
********** Factor found in step 2: 1417415988991662763961289953
Found probable prime factor of 28 digits: 1417415988991662763961289953
Probable prime cofactor has 172 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 14, 2010 10:00:00 UTC 2010 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)

7×10208+1

c174

name 名前Dmitry Domanov
date 日付November 18, 2010 14:33:42 UTC 2010 年 11 月 18 日 (木) 23 時 33 分 42 秒 (日本時間)
composite number 合成数
424481538148851890356111798032884773022447584293708026483809696877077582772267090490845611019856639903488439078783849280849024947776944499744938495842650015123635758926519653<174>
prime factors 素因数
80370775171134947036778363140241781703336788459<47>
composite cofactor 合成数の残り
5281540923861884672362941619887327557724274353635665775677929336301979655185289851598705648528377976459028192005956925314333167<127>
factorization results 素因数分解の結果
********** Factor found in step 2: 80370775171134947036778363140241781703336788459
Found probable prime factor of 47 digits: 80370775171134947036778363140241781703336788459
Composite cofactor 5281540923861884672362941619887327557724274353635665775677929336301979655185289851598705648528377976459028192005956925314333167 has 127 digits

c127

name 名前Erik Branger
date 日付December 20, 2010 08:43:13 UTC 2010 年 12 月 20 日 (月) 17 時 43 分 13 秒 (日本時間)
composite number 合成数
5281540923861884672362941619887327557724274353635665775677929336301979655185289851598705648528377976459028192005956925314333167<127>
prime factors 素因数
157421792428752365365763743706104500987740262954270733<54>
33550252746945825953313415264113494427781075811237214122147424170503448299<74>
factorization results 素因数分解の結果
Number: 70001_208
N = 5281540923861884672362941619887327557724274353635665775677929336301979655185289851598705648528377976459028192005956925314333167 (127 digits)
Divisors found:
r1=157421792428752365365763743706104500987740262954270733 (pp54)
r2=33550252746945825953313415264113494427781075811237214122147424170503448299 (pp74)
Version: Msieve v. 1.47
Total time: 63.14 hours.
Factorization parameters were as follows:
# Murphy_E = 1.294e-10, selected by Erik Branger
n: 5281540923861884672362941619887327557724274353635665775677929336301979655185289851598705648528377976459028192005956925314333167
Y0: -3593019202363184604872509
Y1: 62977113522529
c0: 214320490554606952513479173640
c1: -8551211096695334470995480
c2: 78404833872126268880
c3: -1195767462687481
c4: -6519844056
c5: 8820
skew: 180813.89
type: gnfs
# selected mechanically
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [4000000, 7600000)
Relations: 16698436
Relations in full relation-set: 2267792 relations
Pruned matrix : 1279120 x 1279368
Polynomial selection time: 0.00 hours.
Total sieving time: 61.57 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.29 hours.
time per square root: 0.19 hours.
Prototype def-par.txt line would be: gnfs,126,5,65,2000,1e-05,0.28,250,20,50000,3600,8000000,8000000,28,28,53,53,2.5,2.5,100000
total time: 63.14 hours.
 --------- CPU info (if available) ----------
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
351e6518118Makoto KamadaNovember 14, 2010 10:00:00 UTC 2010 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
400Dmitry DomanovNovember 18, 2010 14:33:00 UTC 2010 年 11 月 18 日 (木) 23 時 33 分 0 秒 (日本時間)
403e61150400Dmitry DomanovNovember 18, 2010 14:33:00 UTC 2010 年 11 月 18 日 (木) 23 時 33 分 0 秒 (日本時間)
750Ignacio SantosNovember 19, 2010 08:07:26 UTC 2010 年 11 月 19 日 (金) 17 時 7 分 26 秒 (日本時間)
4511e6271 / 399957Dmitry DomanovNovember 18, 2010 14:33:00 UTC 2010 年 11 月 18 日 (木) 23 時 33 分 0 秒 (日本時間)
214Ignacio SantosNovember 19, 2010 08:07:26 UTC 2010 年 11 月 19 日 (金) 17 時 7 分 26 秒 (日本時間)
5043e658 / 7446Ignacio SantosNovember 19, 2010 08:07:26 UTC 2010 年 11 月 19 日 (金) 17 時 7 分 26 秒 (日本時間)

7×10209+1

c173

name 名前Dmitry Domanov
date 日付November 15, 2010 20:20:42 UTC 2010 年 11 月 16 日 (火) 5 時 20 分 42 秒 (日本時間)
composite number 合成数
55103888438149688278735705970282651383663516450342994016270094154608859980249631741131227574043557604282804291000134295167077362094517180849997783674337369202898025690585173<173>
prime factors 素因数
431115365267584905520305468152137<33>
127817036639248008722067016095671734243759299767871392978999220392871549636868734201929321040421590323880828005510404659535924858586713043629<141>
factorization results 素因数分解の結果
********** Factor found in step 2: 431115365267584905520305468152137
Found probable prime factor of 33 digits: 431115365267584905520305468152137
Probable prime cofactor 127817036639248008722067016095671734243759299767871392978999220392871549636868734201929321040421590323880828005510404659535924858586713043629 has 141 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 14, 2010 10:00:00 UTC 2010 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)

7×10210+1

c176

composite cofactor 合成数の残り
32569599007361899567079864120584144323423349030760352116741117184754927801687184850999490943132045235215743970686674842696866250793849249005718936880470206909458224251134201289<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2010 10:00:00 UTC 2010 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6400Dmitry DomanovNovember 20, 2010 21:13:30 UTC 2010 年 11 月 21 日 (日) 6 時 13 分 30 秒 (日本時間)
4511e6400 / 4036Dmitry DomanovNovember 20, 2010 21:13:30 UTC 2010 年 11 月 21 日 (日) 6 時 13 分 30 秒 (日本時間)
5043e6100 / 7448Dmitry DomanovNovember 20, 2010 21:13:30 UTC 2010 年 11 月 21 日 (日) 6 時 13 分 30 秒 (日本時間)

7×10211+1

c209

name 名前Robert Backstrom
date 日付July 14, 2012 16:38:17 UTC 2012 年 7 月 15 日 (日) 1 時 38 分 17 秒 (日本時間)
composite number 合成数
14715156611309648938406558755518183729241118351902459533319318898465419381963422324994744586924532268236283371873029220096699600588606264452385957536262350220727349169644734076098381332772755938616775278536893<209>
prime factors 素因数
13356510362839349608365680487750571733737046201101<50>
1101721648212121478714405730779404200931268648572143559312472462431416591754792212986578202191524979642406693382680891087439429777288573822184244873326308884593<160>
factorization results 素因数分解の結果
Number: n
N=14715156611309648938406558755518183729241118351902459533319318898465419381963422324994744586924532268236283371873029220096699600588606264452385957536262350220727349169644734076098381332772755938616775278536893
  ( 209 digits)
SNFS difficulty: 211 digits.
Divisors found:

Sun Jul 15 02:34:25 2012  prp50 factor: 13356510362839349608365680487750571733737046201101
Sun Jul 15 02:34:25 2012  prp160 factor: 1101721648212121478714405730779404200931268648572143559312472462431416591754792212986578202191524979642406693382680891087439429777288573822184244873326308884593
Sun Jul 15 02:34:25 2012  elapsed time 13:35:18 (Msieve 1.44 - dependency 3)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.088).
Factorization parameters were as follows:
name: KA_70001_211
n: 14715156611309648938406558755518183729241118351902459533319318898465419381963422324994744586924532268236283371873029220096699600588606264452385957536262350220727349169644734076098381332772755938616775278536893
m: 100000000000000000000000000000000000
#  c209, diff: 211.85
skew: 0.493
deg: 6
c6: 70
c0: 1
# Murphy_E = 5.142e-12
type: snfs
lss: 1
rlim: 24000000
alim: 24000000
lpbr: 28
lpba: 28
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 24000000/24000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 57/57
Sieved  special-q in [100000, 65200000)
Primes: RFBsize:1507122, AFBsize:1503895, 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9443086 hash collisions in 45337185 relations (36769211 unique)
Msieve: matrix is 2793612 x 2793837 (797.6 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,211,6,0,0,0,0,0,0,0,0,24000000,24000000,28,28,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.11 BogoMIPS (lpj=2830559)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Total of 4 processors activated (22643.85 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2010 10:00:00 UTC 2010 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6900500Serge BatalovNovember 15, 2010 22:44:34 UTC 2010 年 11 月 16 日 (火) 7 時 44 分 34 秒 (日本時間)
400Dmitry DomanovNovember 20, 2010 21:14:03 UTC 2010 年 11 月 21 日 (日) 6 時 14 分 3 秒 (日本時間)
4511e6393535Lionel DebrouxNovember 15, 2010 15:31:51 UTC 2010 年 11 月 16 日 (火) 0 時 31 分 51 秒 (日本時間)
400Dmitry DomanovNovember 20, 2010 21:14:03 UTC 2010 年 11 月 21 日 (日) 6 時 14 分 3 秒 (日本時間)
500Serge BatalovJune 26, 2011 15:55:13 UTC 2011 年 6 月 27 日 (月) 0 時 55 分 13 秒 (日本時間)
3000Wataru SakaiSeptember 26, 2011 02:46:19 UTC 2011 年 9 月 26 日 (月) 11 時 46 分 19 秒 (日本時間)
5043e6100Dmitry DomanovNovember 20, 2010 21:14:03 UTC 2010 年 11 月 21 日 (日) 6 時 14 分 3 秒 (日本時間)
5511e72725 / 17480yoyo@homeMarch 20, 2012 00:40:05 UTC 2012 年 3 月 20 日 (火) 9 時 40 分 5 秒 (日本時間)

7×10212+1

c159

composite cofactor 合成数の残り
252918142839932780165339870424403997004000076408742793014378799975608851876970962925327610894916805573810309394698043065851198131915804608586787549961575940947<159>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2010 10:00:00 UTC 2010 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6400Dmitry DomanovNovember 20, 2010 21:14:27 UTC 2010 年 11 月 21 日 (日) 6 時 14 分 27 秒 (日本時間)
4511e6400 / 4036Dmitry DomanovNovember 20, 2010 21:14:27 UTC 2010 年 11 月 21 日 (日) 6 時 14 分 27 秒 (日本時間)
5043e6100 / 7448Dmitry DomanovNovember 20, 2010 21:14:27 UTC 2010 年 11 月 21 日 (日) 6 時 14 分 27 秒 (日本時間)

7×10214+1

c196

composite cofactor 合成数の残り
1396056255115913740035180757171670218705774118625238671437132549222915968867626430936257261167135522510197635627410548455313525193736849918619065775731679194042076867267250539692485137185888729863<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2010 10:00:00 UTC 2010 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6400Dmitry DomanovNovember 20, 2010 21:14:46 UTC 2010 年 11 月 21 日 (日) 6 時 14 分 46 秒 (日本時間)
4511e6400 / 4036Dmitry DomanovNovember 20, 2010 21:14:46 UTC 2010 年 11 月 21 日 (日) 6 時 14 分 46 秒 (日本時間)
5043e6100 / 7448Dmitry DomanovNovember 20, 2010 21:14:46 UTC 2010 年 11 月 21 日 (日) 6 時 14 分 46 秒 (日本時間)

7×10215+1

c186

name 名前Dmitry Domanov
date 日付November 15, 2010 20:56:06 UTC 2010 年 11 月 16 日 (火) 5 時 56 分 6 秒 (日本時間)
composite number 合成数
378587924157665400525092388285439879109720673286220218340622950111887042544126187806705244820466811812976148084878497367450554113707125041149915041521621504690600684159059650606799256183<186>
prime factors 素因数
20912625264198459845976352155351133<35>
18103318898263437971241516394207395730673429252031422051259604133262539637695014194312548640522965469814750973629373972283191172162961310272253845274851<152>
factorization results 素因数分解の結果
********** Factor found in step 2: 20912625264198459845976352155351133
Found probable prime factor of 35 digits: 20912625264198459845976352155351133
Probable prime cofactor 18103318898263437971241516394207395730673429252031422051259604133262539637695014194312548640522965469814750973629373972283191172162961310272253845274851 has 152 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 14, 2010 10:00:00 UTC 2010 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)

7×10216+1

c162

composite cofactor 合成数の残り
310213041803497240940303475385940745003504507125957938895528409418236436784971316913277954398203898436574481837505207184332892916465128502140470163574306661560349<162>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2010 10:00:00 UTC 2010 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6400Dmitry DomanovNovember 20, 2010 21:15:05 UTC 2010 年 11 月 21 日 (日) 6 時 15 分 5 秒 (日本時間)
4511e6400 / 4036Dmitry DomanovNovember 20, 2010 21:15:05 UTC 2010 年 11 月 21 日 (日) 6 時 15 分 5 秒 (日本時間)
5043e6100 / 7448Dmitry DomanovNovember 20, 2010 21:15:05 UTC 2010 年 11 月 21 日 (日) 6 時 15 分 5 秒 (日本時間)

7×10217+1

c215

name 名前steinrar
date 日付November 12, 2011 02:38:52 UTC 2011 年 11 月 12 日 (土) 11 時 38 分 52 秒 (日本時間)
composite number 合成数
27591643673630271974773354355538037051635790303508080409932991722506897910918407567993693338588884509262908947575877020102483247930626724477729601891998423334647221127315727236893969255025620811982656681119432400473<215>
prime factors 素因数
307120292082125004338721170713355714702878191829303<51>
composite cofactor 合成数の残り
89839858794651618726230218748922466885882896885672936418293839392553459688939999940266350324207825510592213229520647090569552250660838473379052918472600578031281391<164>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 27591643673630271974773354355538037051635790303508080409932991722506897910918407567993693338588884509262908947575877020102483247930626724477729601891998423334647221127315727236893969255025620811982656681119432400473 (215 digits)
[Fri Nov 11 21:43:09 2011]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=948868638
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35     40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 461843ms
Using 26 small primes for NTT
Estimated memory usage: 777M
Initializing tables of differences for F took 282ms
Computing roots of F took 14906ms
Building F from its roots took 10234ms
Computing 1/F took 4500ms
Initializing table of differences for G took 250ms
Computing roots of G took 12500ms
Building G from its roots took 9906ms
Computing roots of G took 12515ms
Building G from its roots took 9875ms
Computing G * H took 2453ms
Reducing  G * H mod F took 2266ms
Computing roots of G took 12484ms
Building G from its roots took 9735ms
Computing G * H took 2406ms
Reducing  G * H mod F took 2297ms
Computing roots of G took 12484ms
Building G from its roots took 9828ms
Computing G * H took 2438ms
Reducing  G * H mod F took 2312ms
Computing polyeval(F,G) took 20672ms
Computing product of all F(g_i) took 94ms
Step 2 took 155063ms
********** Factor found in step 2: 307120292082125004338721170713355714702878191829303
Found probable prime factor of 51 digits: 307120292082125004338721170713355714702878191829303
Composite cofactor 89839858794651618726230218748922466885882896885672936418293839392553459688939999940266350324207825510592213229520647090569552250660838473379052918472600578031281391 has 164 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2010 10:00:00 UTC 2010 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6900500Serge BatalovNovember 15, 2010 22:46:18 UTC 2010 年 11 月 16 日 (火) 7 時 46 分 18 秒 (日本時間)
400Dmitry DomanovNovember 20, 2010 21:15:26 UTC 2010 年 11 月 21 日 (日) 6 時 15 分 26 秒 (日本時間)
4511e6400Dmitry DomanovNovember 20, 2010 21:15:26 UTC 2010 年 11 月 21 日 (日) 6 時 15 分 26 秒 (日本時間)
5043e6700100Dmitry DomanovNovember 20, 2010 21:15:26 UTC 2010 年 11 月 21 日 (日) 6 時 15 分 26 秒 (日本時間)
600Dmitry DomanovJune 16, 2011 21:52:51 UTC 2011 年 6 月 17 日 (金) 6 時 52 分 51 秒 (日本時間)
5511e75060 / 17487200Dmitry DomanovJune 14, 2011 14:08:33 UTC 2011 年 6 月 14 日 (火) 23 時 8 分 33 秒 (日本時間)
2055yoyo@homeNovember 9, 2011 22:00:04 UTC 2011 年 11 月 10 日 (木) 7 時 0 分 4 秒 (日本時間)
2805yoyo@homeMarch 20, 2012 08:25:05 UTC 2012 年 3 月 20 日 (火) 17 時 25 分 5 秒 (日本時間)

7×10219+1

c213

name 名前Dmitry Domanov
date 日付November 19, 2010 07:50:06 UTC 2010 年 11 月 19 日 (金) 16 時 50 分 6 秒 (日本時間)
composite number 合成数
179276538747819453056476745284636464187219206520502846104690891007726998096569766246187204198513116242933335020240193169958282093324041344960253494976914688160113823186669672707372565818371916504359506009131885887<213>
prime factors 素因数
609417979528764089657778747586539132988865504417<48>
294176648490820789057573108591943912590875309786072461096416890513841222330750935088901852144263146018239165068381753823067935741802840349435272162138730720957586911<165>
factorization results 素因数分解の結果
********** Factor found in step 2: 609417979528764089657778747586539132988865504417
Found probable prime factor of 48 digits: 609417979528764089657778747586539132988865504417
Probable prime cofactor 294176648490820789057573108591943912590875309786072461096416890513841222330750935088901852144263146018239165068381753823067935741802840349435272162138730720957586911 has 165 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2010 10:00:00 UTC 2010 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6500 / 2318Serge BatalovNovember 15, 2010 22:46:03 UTC 2010 年 11 月 16 日 (火) 7 時 46 分 3 秒 (日本時間)

7×10221+1

c196

composite cofactor 合成数の残り
7695367222850007446939155120698103502243726756367553626404036709423752904985885514746794465968333153799799893580631574634463721926560299185891570806201957364704460298630450543531431010475762937491<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2010 10:00:00 UTC 2010 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6400Dmitry DomanovNovember 20, 2010 21:15:45 UTC 2010 年 11 月 21 日 (日) 6 時 15 分 45 秒 (日本時間)
4511e6400 / 4036Dmitry DomanovNovember 20, 2010 21:15:45 UTC 2010 年 11 月 21 日 (日) 6 時 15 分 45 秒 (日本時間)
5043e6100 / 7448Dmitry DomanovNovember 20, 2010 21:15:45 UTC 2010 年 11 月 21 日 (日) 6 時 15 分 45 秒 (日本時間)

7×10223+1

c223

name 名前Dmitry Domanov
date 日付June 11, 2011 21:44:11 UTC 2011 年 6 月 12 日 (日) 6 時 44 分 11 秒 (日本時間)
composite number 合成数
4117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882353<223>
prime factors 素因数
6669557559828565337201286595902169703354432202743<49>
composite cofactor 合成数の残り
617379342165744744109799966482118844711196884975928259583020464199573759732663570662779076969433118076186181804226417458232437350311559939675815199894074893634818398170973271<174>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3323799218
Step 1 took 475257ms
Step 2 took 116456ms
********** Factor found in step 2: 6669557559828565337201286595902169703354432202743
Found probable prime factor of 49 digits: 6669557559828565337201286595902169703354432202743
Composite cofactor 617379342165744744109799966482118844711196884975928259583020464199573759732663570662779076969433118076186181804226417458232437350311559939675815199894074893634818398170973271 has 174 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2010 10:00:00 UTC 2010 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6900500Serge BatalovNovember 15, 2010 22:45:52 UTC 2010 年 11 月 16 日 (火) 7 時 45 分 52 秒 (日本時間)
400Dmitry DomanovNovember 20, 2010 21:16:06 UTC 2010 年 11 月 21 日 (日) 6 時 16 分 6 秒 (日本時間)
4511e6400 / 1119Dmitry DomanovNovember 20, 2010 21:16:06 UTC 2010 年 11 月 21 日 (日) 6 時 16 分 6 秒 (日本時間)
5043e6900 / 7429100Dmitry DomanovNovember 20, 2010 21:16:06 UTC 2010 年 11 月 21 日 (日) 6 時 16 分 6 秒 (日本時間)
800Dmitry DomanovJune 11, 2011 07:04:46 UTC 2011 年 6 月 11 日 (土) 16 時 4 分 46 秒 (日本時間)

7×10224+1

c214

composite cofactor 合成数の残り
3113972151816007447013189571679372563857123759292096554375580048881808909865441647242111680103169430591438410070625135875002485361822392833882273353273463106165791880854326813665310782933439151620858731415260027693<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2010 10:00:00 UTC 2010 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6400Dmitry DomanovNovember 20, 2010 21:16:29 UTC 2010 年 11 月 21 日 (日) 6 時 16 分 29 秒 (日本時間)
4511e6400 / 3159Dmitry DomanovNovember 20, 2010 21:16:29 UTC 2010 年 11 月 21 日 (日) 6 時 16 分 29 秒 (日本時間)
5043e6350 / 7448100Dmitry DomanovNovember 20, 2010 21:16:29 UTC 2010 年 11 月 21 日 (日) 6 時 16 分 29 秒 (日本時間)
250Dmitry DomanovOctober 11, 2011 23:01:30 UTC 2011 年 10 月 12 日 (水) 8 時 1 分 30 秒 (日本時間)

7×10225+1

c194

composite cofactor 合成数の残り
12171188833293089290292479931908456261787097498248706696450413909245100902250661655365377888287607217151976052121506333457499333048019262560336124739567945376970290664634422008182727869653798387<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2010 10:00:00 UTC 2010 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6400Dmitry DomanovNovember 20, 2010 21:16:54 UTC 2010 年 11 月 21 日 (日) 6 時 16 分 54 秒 (日本時間)
4511e6400 / 1299Dmitry DomanovNovember 20, 2010 21:16:54 UTC 2010 年 11 月 21 日 (日) 6 時 16 分 54 秒 (日本時間)
5043e6880 / 7448100Dmitry DomanovNovember 20, 2010 21:16:54 UTC 2010 年 11 月 21 日 (日) 6 時 16 分 54 秒 (日本時間)
300Dmitry DomanovOctober 11, 2011 23:01:07 UTC 2011 年 10 月 12 日 (水) 8 時 1 分 7 秒 (日本時間)
480Dmitry DomanovOctober 12, 2011 22:24:11 UTC 2011 年 10 月 13 日 (木) 7 時 24 分 11 秒 (日本時間)

7×10226+1

c224

name 名前RSALS + Mathew
date 日付June 19, 2012 17:01:17 UTC 2012 年 6 月 20 日 (水) 2 時 1 分 17 秒 (日本時間)
composite number 合成数
30850594975760246804759806081974438078448655795504627589246364037020713970912296165711767298369325694138386954605553107095636844424856765094755398854120758043190832966064345526663728514764213309828118113706478624944909651829<224>
prime factors 素因数
3381666480297327860425114235631204129434179290396503053428265259<64>
9122896996349490787144837178265322695297702492214967336086263058588890631244327583177808077554177644936587233481871642192919744426627371055805113066090259403231<160>
factorization results 素因数分解の結果
prp64 factor: 3381666480297327860425114235631204129434179290396503053428265259
prp160 factor: 9122896996349490787144837178265322695297702492214967336086263058588890631244327583177808077554177644936587233481871642192919744426627371055805113066090259403231
software ソフトウェア
ggnfs-lasieve4I14e on the RSALS grid + presumably msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2010 10:00:00 UTC 2010 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6900500Serge BatalovNovember 15, 2010 22:44:55 UTC 2010 年 11 月 16 日 (火) 7 時 44 分 55 秒 (日本時間)
400Dmitry DomanovNovember 20, 2010 21:17:47 UTC 2010 年 11 月 21 日 (日) 6 時 17 分 47 秒 (日本時間)
4511e64000400Dmitry DomanovNovember 20, 2010 21:17:47 UTC 2010 年 11 月 21 日 (日) 6 時 17 分 47 秒 (日本時間)
3600Wataru SakaiJune 1, 2011 11:10:00 UTC 2011 年 6 月 1 日 (水) 20 時 10 分 0 秒 (日本時間)
5043e6100Dmitry DomanovNovember 20, 2010 21:17:47 UTC 2010 年 11 月 21 日 (日) 6 時 17 分 47 秒 (日本時間)
5511e72715 / 17476yoyo@homeNovember 10, 2011 00:30:05 UTC 2011 年 11 月 10 日 (木) 9 時 30 分 5 秒 (日本時間)

7×10227+1

c215

name 名前Dmitry Domanov
date 日付November 15, 2010 20:23:03 UTC 2010 年 11 月 16 日 (火) 5 時 23 分 3 秒 (日本時間)
composite number 合成数
11823680697268265912648604409023374357917944138577963800916185771638266070443194354638292326256464954072403960314649672534385566118957279934412207750543263871242942449171535039707664556716924795387712811316022055381<215>
prime factors 素因数
37649924970181133083937974730563<32>
composite cofactor 合成数の残り
314042609822799400023438363778304684637859495510871735390216900308967995566542994901473259824235699588389263297757804833424578234884337481326225115388075611637133669583686730354842887<183>
factorization results 素因数分解の結果
********** Factor found in step 2: 37649924970181133083937974730563
Found probable prime factor of 32 digits: 37649924970181133083937974730563
Composite cofactor 314042609822799400023438363778304684637859495510871735390216900308967995566542994901473259824235699588389263297757804833424578234884337481326225115388075611637133669583686730354842887 has 183 digits

c183

name 名前Dmitry Domanov
date 日付October 13, 2011 06:10:26 UTC 2011 年 10 月 13 日 (木) 15 時 10 分 26 秒 (日本時間)
composite number 合成数
314042609822799400023438363778304684637859495510871735390216900308967995566542994901473259824235699588389263297757804833424578234884337481326225115388075611637133669583686730354842887<183>
prime factors 素因数
598594278748117459436527048313419398053<39>
524633497131945389250424608128573206971763184590640963225054416635206212027490536041980802924352652716665178446272166652268960773241763362833979<144>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1572601963
Step 1 took 338774ms
Step 2 took 89413ms
********** Factor found in step 2: 598594278748117459436527048313419398053
Found probable prime factor of 39 digits: 598594278748117459436527048313419398053
Probable prime cofactor 524633497131945389250424608128573206971763184590640963225054416635206212027490536041980802924352652716665178446272166652268960773241763362833979 has 144 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 14, 2010 10:00:00 UTC 2010 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 23, 2010 22:40:15 UTC 2010 年 11 月 24 日 (水) 7 時 40 分 15 秒 (日本時間)
403e6110Ignacio SantosNovember 23, 2010 22:40:15 UTC 2010 年 11 月 24 日 (水) 7 時 40 分 15 秒 (日本時間)
4511e6632 / 152532Ignacio SantosNovember 23, 2010 22:40:15 UTC 2010 年 11 月 24 日 (水) 7 時 40 分 15 秒 (日本時間)
600Dmitry DomanovMay 15, 2011 17:43:47 UTC 2011 年 5 月 16 日 (月) 2 時 43 分 47 秒 (日本時間)
5043e6830 / 7405350Dmitry DomanovOctober 11, 2011 23:00:40 UTC 2011 年 10 月 12 日 (水) 8 時 0 分 40 秒 (日本時間)
480Dmitry DomanovOctober 12, 2011 22:23:35 UTC 2011 年 10 月 13 日 (木) 7 時 23 分 35 秒 (日本時間)

7×10231+1

c197

name 名前Dmitry Domanov
date 日付November 17, 2010 06:57:10 UTC 2010 年 11 月 17 日 (水) 15 時 57 分 10 秒 (日本時間)
composite number 合成数
29809867674518591948725864814212171766394552934061422151329870107510188904972113930106323799560873056058952333230759488576682182885904790007414659863203160017196001955300340141065020138959753726803<197>
prime factors 素因数
93087706217217634429986159809414389733741<41>
composite cofactor 合成数の残り
320234205846237904833972629142006344497727907611330818159087737426562946546626881678420824871211995126111540021733078784236635329891281986055023901047144383<156>
factorization results 素因数分解の結果
********** Factor found in step 2: 93087706217217634429986159809414389733741
Found probable prime factor of 41 digits: 93087706217217634429986159809414389733741
Composite cofactor 320234205846237904833972629142006344497727907611330818159087737426562946546626881678420824871211995126111540021733078784236635329891281986055023901047144383 has 156 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2010 10:00:00 UTC 2010 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6400Dmitry DomanovNovember 17, 2010 06:56:27 UTC 2010 年 11 月 17 日 (水) 15 時 56 分 27 秒 (日本時間)
4511e64387308Dmitry DomanovNovember 17, 2010 06:56:27 UTC 2010 年 11 月 17 日 (水) 15 時 56 分 27 秒 (日本時間)
600Dmitry DomanovNovember 20, 2010 10:27:51 UTC 2010 年 11 月 20 日 (土) 19 時 27 分 51 秒 (日本時間)
3479Wataru SakaiNovember 29, 2010 01:28:32 UTC 2010 年 11 月 29 日 (月) 10 時 28 分 32 秒 (日本時間)
5043e60--
5511e72730 / 17492yoyo@homeFebruary 22, 2011 18:10:25 UTC 2011 年 2 月 23 日 (水) 3 時 10 分 25 秒 (日本時間)

7×10232+1

c192

composite cofactor 合成数の残り
473016381636279983288151635048999586848492227119450738708156363427827127528531746556006061462638394612750572140926217301703420017728668238865629608978062229225127796895066825869590129600657931<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2010 10:00:00 UTC 2010 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6400Dmitry DomanovNovember 20, 2010 21:18:58 UTC 2010 年 11 月 21 日 (日) 6 時 18 分 58 秒 (日本時間)
4511e6400Dmitry DomanovNovember 20, 2010 21:18:58 UTC 2010 年 11 月 21 日 (日) 6 時 18 分 58 秒 (日本時間)
5043e61140100Dmitry DomanovNovember 20, 2010 21:18:58 UTC 2010 年 11 月 21 日 (日) 6 時 18 分 58 秒 (日本時間)
600Dmitry DomanovOctober 11, 2011 23:00:06 UTC 2011 年 10 月 12 日 (水) 8 時 0 分 6 秒 (日本時間)
440Dmitry DomanovOctober 12, 2011 22:23:01 UTC 2011 年 10 月 13 日 (木) 7 時 23 分 1 秒 (日本時間)
5511e72630 / 17334yoyo@homeMarch 20, 2012 15:15:06 UTC 2012 年 3 月 21 日 (水) 0 時 15 分 6 秒 (日本時間)

7×10233+1

c125

name 名前Ignacio Santos
date 日付November 14, 2010 19:39:47 UTC 2010 年 11 月 15 日 (月) 4 時 39 分 47 秒 (日本時間)
composite number 合成数
44339359117006446128771814692659285945225980950588628549750789295194471897687307816236129567410771549836054147342539495849529<125>
prime factors 素因数
26547637053502792160054346940797959<35>
composite cofactor 合成数の残り
1670181004345023211807107790151075410524080154671273769028881409375715431967832326721719231<91>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3689282462
Step 1 took 5258ms
Step 2 took 4009ms
********** Factor found in step 2: 26547637053502792160054346940797959
Found probable prime factor of 35 digits: 26547637053502792160054346940797959
Composite cofactor 1670181004345023211807107790151075410524080154671273769028881409375715431967832326721719231 has 91 digits
software ソフトウェア
GMP-ECM 6.3

c91

name 名前Ignacio Santos
date 日付November 15, 2010 16:26:56 UTC 2010 年 11 月 16 日 (火) 1 時 26 分 56 秒 (日本時間)
composite number 合成数
1670181004345023211807107790151075410524080154671273769028881409375715431967832326721719231<91>
prime factors 素因数
124691387241289665574772668101343859<36>
13394517787448017514942164469099553692525566325517605509<56>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2493959216
Step 1 took 3573ms
Step 2 took 3011ms
********** Factor found in step 2: 124691387241289665574772668101343859
Found probable prime factor of 36 digits: 124691387241289665574772668101343859
Probable prime cofactor 13394517787448017514942164469099553692525566325517605509 has 56 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 KamadaNovember 14, 2010 10:00:00 UTC 2010 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)

7×10236+1

c237

name 名前Dmitry Domanov
date 日付November 20, 2010 14:12:38 UTC 2010 年 11 月 20 日 (土) 23 時 12 分 38 秒 (日本時間)
composite number 合成数
700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<237>
prime factors 素因数
59189203355853243931061057301042720446445702001<47>
11826481187650191962966819500530227345838068917545220452621159581797160317624295437266543822896701383581107190421605005223005597439008807544524908954896208472704999275601417951241418358298001<191>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=813633075
********** Factor found in step 2: 59189203355853243931061057301042720446445702001
Found probable prime factor of 47 digits: 59189203355853243931061057301042720446445702001
Probable prime cofactor 11826481187650191962966819500530227345838068917545220452621159581797160317624295437266543822896701383581107190421605005223005597439008807544524908954896208472704999275601417951241418358298001 has 191 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2010 10:00:00 UTC 2010 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6500 / 2318Serge BatalovNovember 15, 2010 22:42:51 UTC 2010 年 11 月 16 日 (火) 7 時 42 分 51 秒 (日本時間)

7×10237+1

c167

composite cofactor 合成数の残り
36202581738856918551615300539194749838465896816281679154227268019997034156113283859924829519139280407449151737597739781244166722269031425342456226528851536598892160567<167>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2010 10:00:00 UTC 2010 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6400Dmitry DomanovNovember 20, 2010 21:19:32 UTC 2010 年 11 月 21 日 (日) 6 時 19 分 32 秒 (日本時間)
4511e6400Dmitry DomanovNovember 20, 2010 21:19:32 UTC 2010 年 11 月 21 日 (日) 6 時 19 分 32 秒 (日本時間)
5043e61140100Dmitry DomanovNovember 20, 2010 21:19:32 UTC 2010 年 11 月 21 日 (日) 6 時 19 分 32 秒 (日本時間)
400Dmitry DomanovOctober 11, 2011 22:59:35 UTC 2011 年 10 月 12 日 (水) 7 時 59 分 35 秒 (日本時間)
640Dmitry DomanovOctober 12, 2011 22:22:20 UTC 2011 年 10 月 13 日 (木) 7 時 22 分 20 秒 (日本時間)
5511e72630 / 17334yoyo@homeMarch 25, 2012 22:52:07 UTC 2012 年 3 月 26 日 (月) 7 時 52 分 7 秒 (日本時間)

7×10238+1

c232

composite cofactor 合成数の残り
1062582351080943015120228081176494822256309526717168372260607672327290786756768994915649708312795766951220654378589924985784545611021055570218348681146314447536036228107710694103534715104290863885067935519527705825351202062223395583<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2010 10:00:00 UTC 2010 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6900500Serge BatalovNovember 15, 2010 22:43:45 UTC 2010 年 11 月 16 日 (火) 7 時 43 分 45 秒 (日本時間)
400Dmitry DomanovNovember 20, 2010 21:19:50 UTC 2010 年 11 月 21 日 (日) 6 時 19 分 50 秒 (日本時間)
4511e61820400Dmitry DomanovNovember 20, 2010 21:19:50 UTC 2010 年 11 月 21 日 (日) 6 時 19 分 50 秒 (日本時間)
1200Dmitry DomanovApril 11, 2011 22:59:11 UTC 2011 年 4 月 12 日 (火) 7 時 59 分 11 秒 (日本時間)
220Dmitry DomanovApril 12, 2011 21:38:42 UTC 2011 年 4 月 13 日 (水) 6 時 38 分 42 秒 (日本時間)
5043e6700100Dmitry DomanovNovember 20, 2010 21:19:50 UTC 2010 年 11 月 21 日 (日) 6 時 19 分 50 秒 (日本時間)
600Dmitry DomanovApril 11, 2011 15:17:24 UTC 2011 年 4 月 12 日 (火) 0 時 17 分 24 秒 (日本時間)
5511e72670 / 17399yoyo@homeJune 5, 2011 03:05:23 UTC 2011 年 6 月 5 日 (日) 12 時 5 分 23 秒 (日本時間)

7×10239+1

c209

composite cofactor 合成数の残り
40695772206103227264017807784434045711473192813664223910584354791158780966904831417627095017411680278360963450665962031693877514692769353426527883264232875592985031207038620197478361258515670315871066575009173<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2010 10:00:00 UTC 2010 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6400Dmitry DomanovNovember 20, 2010 21:20:08 UTC 2010 年 11 月 21 日 (日) 6 時 20 分 8 秒 (日本時間)
4511e6400Dmitry DomanovNovember 20, 2010 21:20:08 UTC 2010 年 11 月 21 日 (日) 6 時 20 分 8 秒 (日本時間)
5043e61140100Dmitry DomanovNovember 20, 2010 21:20:08 UTC 2010 年 11 月 21 日 (日) 6 時 20 分 8 秒 (日本時間)
600Dmitry DomanovOctober 11, 2011 22:58:34 UTC 2011 年 10 月 12 日 (水) 7 時 58 分 34 秒 (日本時間)
440Dmitry DomanovOctober 12, 2011 22:21:46 UTC 2011 年 10 月 13 日 (木) 7 時 21 分 46 秒 (日本時間)
5511e72630 / 17334yoyo@homeMarch 26, 2012 02:45:05 UTC 2012 年 3 月 26 日 (月) 11 時 45 分 5 秒 (日本時間)

7×10240+1

c241

name 名前Youcef Lemsafer
date 日付June 15, 2014 11:59:27 UTC 2014 年 6 月 15 日 (日) 20 時 59 分 27 秒 (日本時間)
composite number 合成数
7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<241>
prime factors 素因数
24514526286010756573241467309988425845133218566461228511820653752143043<71>
285544983342980536453387034329966191768771431300906682064959974685376008253085126961450280256025185961390049564091983998091149743432726045136098367062340029538606477820907<171>
factorization results 素因数分解の結果
<Sieving rational special q from 15e6 to 148e6 using gnfs-lasieve4I14e>
<mostly done using 6 threads on Intel Xeon W3530 @2.8GHz took 66 days>

<Postprocessing using 8 threads on Intel Xeon W3530 @2.8GHz:>

Fri Jun 06 22:07:26 2014  
Fri Jun 06 22:07:26 2014  
Fri Jun 06 22:07:26 2014  Msieve v. 1.53 (SVN 965M)
Fri Jun 06 22:07:26 2014  random seeds: 6127fc94 6b10b007
Fri Jun 06 22:07:26 2014  factoring 7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 (241 digits)
Fri Jun 06 22:07:28 2014  searching for 15-digit factors
Fri Jun 06 22:07:31 2014  commencing number field sieve (241-digit input)
Fri Jun 06 22:07:31 2014  R0: -10000000000000000000000000000000000000000
Fri Jun 06 22:07:31 2014  R1: 1
Fri Jun 06 22:07:31 2014  A0: 1
Fri Jun 06 22:07:31 2014  A1: 0
Fri Jun 06 22:07:31 2014  A2: 0
Fri Jun 06 22:07:31 2014  A3: 0
Fri Jun 06 22:07:31 2014  A4: 0
Fri Jun 06 22:07:31 2014  A5: 0
Fri Jun 06 22:07:31 2014  A6: 7
Fri Jun 06 22:07:31 2014  skew 0.72, size 6.105e-012, alpha 1.963, combined = 4.476e-013 rroots = 0
Fri Jun 06 22:07:31 2014  
Fri Jun 06 22:07:31 2014  commencing relation filtering
Fri Jun 06 22:07:31 2014  estimated available RAM is 8189.6 MB
Fri Jun 06 22:07:31 2014  commencing duplicate removal, pass 1
Fri Jun 06 22:11:05 2014  error -9 reading relation 26349469
Fri Jun 06 22:11:05 2014  error -1 reading relation 26356567
Fri Jun 06 22:11:05 2014  error -9 reading relation 26363582
Fri Jun 06 22:11:05 2014  error -15 reading relation 26370728
Fri Jun 06 22:11:05 2014  error -15 reading relation 26377770
Fri Jun 06 22:11:05 2014  error -9 reading relation 26385208
Fri Jun 06 22:11:05 2014  error -15 reading relation 26392277
Fri Jun 06 22:11:05 2014  error -15 reading relation 26399449
Fri Jun 06 22:12:17 2014  error -9 reading relation 35617229
Fri Jun 06 22:12:17 2014  error -9 reading relation 35625176
Fri Jun 06 22:12:17 2014  error -9 reading relation 35640377
Fri Jun 06 22:12:17 2014  error -15 reading relation 35648241
Fri Jun 06 22:12:17 2014  error -5 reading relation 35655907
Fri Jun 06 22:17:29 2014  error -9 reading relation 70344715
Fri Jun 06 22:17:29 2014  error -9 reading relation 70350953
Fri Jun 06 22:17:29 2014  error -9 reading relation 70357341
Fri Jun 06 22:17:29 2014  error -15 reading relation 70363495
Fri Jun 06 22:17:29 2014  error -15 reading relation 70369656
Fri Jun 06 22:17:29 2014  error -9 reading relation 70376247
Fri Jun 06 22:17:30 2014  error -9 reading relation 70496096
Fri Jun 06 22:17:30 2014  error -6 reading relation 70501015
Fri Jun 06 22:17:30 2014  error -9 reading relation 70505860
Fri Jun 06 22:17:30 2014  error -15 reading relation 70510553
Fri Jun 06 22:17:30 2014  error -9 reading relation 70515289
Fri Jun 06 22:17:30 2014  error -15 reading relation 70520095
Fri Jun 06 22:20:32 2014  error -15 reading relation 93800228
Fri Jun 06 22:20:32 2014  error -9 reading relation 93805994
Fri Jun 06 22:20:32 2014  error -5 reading relation 93811613
Fri Jun 06 22:20:32 2014  error -1 reading relation 93816852
Fri Jun 06 22:20:32 2014  error -15 reading relation 93822382
Fri Jun 06 22:20:32 2014  error -9 reading relation 93827819
Fri Jun 06 22:20:33 2014  error -9 reading relation 93899674
Fri Jun 06 22:20:33 2014  error -9 reading relation 93904987
Fri Jun 06 22:20:33 2014  error -15 reading relation 93910617
Fri Jun 06 22:20:33 2014  error -9 reading relation 93916390
Fri Jun 06 22:20:33 2014  error -15 reading relation 93921907
Fri Jun 06 22:20:33 2014  error -15 reading relation 93927326
Fri Jun 06 22:22:59 2014  skipped 29 relations with b > 2^32
Fri Jun 06 22:22:59 2014  found 25630841 hash collisions in 112541686 relations
Fri Jun 06 22:23:18 2014  added 1218798 free relations
Fri Jun 06 22:23:18 2014  commencing duplicate removal, pass 2
Fri Jun 06 22:25:58 2014  found 27043046 duplicates and 86717438 unique relations
Fri Jun 06 22:25:58 2014  memory use: 660.8 MB
Fri Jun 06 22:25:58 2014  reading ideals above 75956224
Fri Jun 06 22:25:58 2014  commencing singleton removal, initial pass
Fri Jun 06 22:39:04 2014  memory use: 1506.0 MB
Fri Jun 06 22:39:04 2014  reading all ideals from disk
Fri Jun 06 22:39:14 2014  memory use: 1644.4 MB
Fri Jun 06 22:39:18 2014  commencing in-memory singleton removal
Fri Jun 06 22:39:22 2014  begin with 86717438 relations and 80061123 unique ideals
Fri Jun 06 22:40:11 2014  reduce to 48108280 relations and 36668197 ideals in 17 passes
Fri Jun 06 22:40:11 2014  max relations containing the same ideal: 28
Fri Jun 06 22:40:15 2014  reading ideals above 720000
Fri Jun 06 22:40:15 2014  commencing singleton removal, initial pass
Fri Jun 06 22:49:37 2014  memory use: 1378.0 MB
Fri Jun 06 22:49:37 2014  reading all ideals from disk
Fri Jun 06 22:49:49 2014  memory use: 1854.4 MB
Fri Jun 06 22:49:55 2014  keeping 45303884 ideals with weight <= 200, target excess is 255416
Fri Jun 06 22:50:01 2014  commencing in-memory singleton removal
Fri Jun 06 22:50:07 2014  begin with 48108285 relations and 45303884 unique ideals
Fri Jun 06 22:50:59 2014  reduce to 48101815 relations and 45297396 ideals in 10 passes
Fri Jun 06 22:50:59 2014  max relations containing the same ideal: 200
Fri Jun 06 22:51:26 2014  removing 3372327 relations and 2972327 ideals in 400000 cliques
Fri Jun 06 22:51:27 2014  commencing in-memory singleton removal
Fri Jun 06 22:51:32 2014  begin with 44729488 relations and 45297396 unique ideals
Fri Jun 06 22:52:15 2014  reduce to 44544862 relations and 42138198 ideals in 9 passes
Fri Jun 06 22:52:15 2014  max relations containing the same ideal: 197
Fri Jun 06 22:52:40 2014  removing 2503447 relations and 2103447 ideals in 400000 cliques
Fri Jun 06 22:52:41 2014  commencing in-memory singleton removal
Fri Jun 06 22:52:46 2014  begin with 42041415 relations and 42138198 unique ideals
Fri Jun 06 22:53:26 2014  reduce to 41931030 relations and 39923281 ideals in 9 passes
Fri Jun 06 22:53:26 2014  max relations containing the same ideal: 193
Fri Jun 06 22:53:49 2014  removing 2227688 relations and 1827688 ideals in 400000 cliques
Fri Jun 06 22:53:50 2014  commencing in-memory singleton removal
Fri Jun 06 22:53:54 2014  begin with 39703342 relations and 39923281 unique ideals
Fri Jun 06 22:54:28 2014  reduce to 39610062 relations and 38001411 ideals in 8 passes
Fri Jun 06 22:54:28 2014  max relations containing the same ideal: 186
Fri Jun 06 22:54:49 2014  removing 2076548 relations and 1676548 ideals in 400000 cliques
Fri Jun 06 22:54:50 2014  commencing in-memory singleton removal
Fri Jun 06 22:54:54 2014  begin with 37533514 relations and 38001411 unique ideals
Fri Jun 06 22:55:26 2014  reduce to 37448060 relations and 36238607 ideals in 8 passes
Fri Jun 06 22:55:26 2014  max relations containing the same ideal: 177
Fri Jun 06 22:55:46 2014  removing 1979736 relations and 1579736 ideals in 400000 cliques
Fri Jun 06 22:55:47 2014  commencing in-memory singleton removal
Fri Jun 06 22:55:51 2014  begin with 35468324 relations and 36238607 unique ideals
Fri Jun 06 22:56:14 2014  reduce to 35386699 relations and 34576461 ideals in 6 passes
Fri Jun 06 22:56:14 2014  max relations containing the same ideal: 171
Fri Jun 06 22:56:33 2014  removing 1910803 relations and 1510803 ideals in 400000 cliques
Fri Jun 06 22:56:34 2014  commencing in-memory singleton removal
Fri Jun 06 22:56:37 2014  begin with 33475896 relations and 34576461 unique ideals
Fri Jun 06 22:57:02 2014  reduce to 33395164 relations and 32984118 ideals in 7 passes
Fri Jun 06 22:57:02 2014  max relations containing the same ideal: 166
Fri Jun 06 22:57:20 2014  removing 660672 relations and 545909 ideals in 114763 cliques
Fri Jun 06 22:57:21 2014  commencing in-memory singleton removal
Fri Jun 06 22:57:24 2014  begin with 32734492 relations and 32984118 unique ideals
Fri Jun 06 22:57:45 2014  reduce to 32725352 relations and 32429027 ideals in 6 passes
Fri Jun 06 22:57:56 2014  max relations containing the same ideal: 165
Fri Jun 06 22:58:05 2014  relations with 0 large ideals: 9675
Fri Jun 06 22:58:05 2014  relations with 1 large ideals: 1294
Fri Jun 06 22:58:05 2014  relations with 2 large ideals: 14354
Fri Jun 06 22:58:05 2014  relations with 3 large ideals: 141968
Fri Jun 06 22:58:05 2014  relations with 4 large ideals: 812752
Fri Jun 06 22:58:05 2014  relations with 5 large ideals: 2823012
Fri Jun 06 22:58:05 2014  relations with 6 large ideals: 6185131
Fri Jun 06 22:58:05 2014  relations with 7+ large ideals: 22737166
Fri Jun 06 22:58:05 2014  commencing 2-way merge
Fri Jun 06 22:58:32 2014  reduce to 21547310 relation sets and 21250985 unique ideals
Fri Jun 06 22:58:32 2014  commencing full merge
Fri Jun 06 23:04:53 2014  memory use: 2583.3 MB
Fri Jun 06 23:04:56 2014  found 11533652 cycles, need 11493185
Fri Jun 06 23:04:57 2014  weight of 11493185 cycles is about 804553608 (70.00/cycle)
Fri Jun 06 23:04:57 2014  distribution of cycle lengths:
Fri Jun 06 23:04:57 2014  1 relations: 1422623
Fri Jun 06 23:04:57 2014  2 relations: 1510790
Fri Jun 06 23:04:57 2014  3 relations: 1503202
Fri Jun 06 23:04:57 2014  4 relations: 1328193
Fri Jun 06 23:04:57 2014  5 relations: 1150828
Fri Jun 06 23:04:57 2014  6 relations: 981710
Fri Jun 06 23:04:57 2014  7 relations: 825806
Fri Jun 06 23:04:57 2014  8 relations: 684204
Fri Jun 06 23:04:57 2014  9 relations: 554045
Fri Jun 06 23:04:57 2014  10+ relations: 1531784
Fri Jun 06 23:04:57 2014  heaviest cycle: 21 relations
Fri Jun 06 23:04:59 2014  commencing cycle optimization
Fri Jun 06 23:05:13 2014  start with 60489895 relations
Fri Jun 06 23:06:58 2014  pruned 1431264 relations
Fri Jun 06 23:06:58 2014  memory use: 1981.0 MB
Fri Jun 06 23:06:58 2014  distribution of cycle lengths:
Fri Jun 06 23:06:58 2014  1 relations: 1422623
Fri Jun 06 23:06:58 2014  2 relations: 1541026
Fri Jun 06 23:06:58 2014  3 relations: 1555775
Fri Jun 06 23:06:58 2014  4 relations: 1357490
Fri Jun 06 23:06:58 2014  5 relations: 1176056
Fri Jun 06 23:06:58 2014  6 relations: 991431
Fri Jun 06 23:06:58 2014  7 relations: 829025
Fri Jun 06 23:06:58 2014  8 relations: 679118
Fri Jun 06 23:06:58 2014  9 relations: 545144
Fri Jun 06 23:06:58 2014  10+ relations: 1395497
Fri Jun 06 23:06:58 2014  heaviest cycle: 21 relations
Fri Jun 06 23:07:19 2014  RelProcTime: 3588
Fri Jun 06 23:07:19 2014  
Fri Jun 06 23:07:19 2014  commencing linear algebra
Fri Jun 06 23:07:21 2014  read 11493185 cycles
Fri Jun 06 23:07:40 2014  cycles contain 32546453 unique relations
Fri Jun 06 23:12:54 2014  read 32546453 relations
Fri Jun 06 23:13:48 2014  using 20 quadratic characters above 1073741672
Fri Jun 06 23:16:17 2014  building initial matrix
Fri Jun 06 23:21:55 2014  memory use: 4225.7 MB
Fri Jun 06 23:24:10 2014  read 11493185 cycles
Fri Jun 06 23:24:12 2014  matrix is 11493008 x 11493185 (3412.7 MB) with weight 994461722 (86.53/col)
Fri Jun 06 23:24:12 2014  sparse part has weight 779689526 (67.84/col)
Fri Jun 06 23:26:08 2014  filtering completed in 2 passes
Fri Jun 06 23:26:10 2014  matrix is 11491367 x 11491544 (3412.6 MB) with weight 994424058 (86.54/col)
Fri Jun 06 23:26:10 2014  sparse part has weight 779681963 (67.85/col)
Fri Jun 06 23:28:24 2014  matrix starts at (0, 0)
Fri Jun 06 23:28:25 2014  matrix is 11491367 x 11491544 (3412.6 MB) with weight 994424058 (86.54/col)
Fri Jun 06 23:28:25 2014  sparse part has weight 779681963 (67.85/col)
Fri Jun 06 23:28:25 2014  saving the first 48 matrix rows for later
Fri Jun 06 23:28:29 2014  matrix includes 64 packed rows
Fri Jun 06 23:28:31 2014  matrix is 11491319 x 11491544 (3287.0 MB) with weight 794060413 (69.10/col)
Fri Jun 06 23:28:31 2014  sparse part has weight 746757948 (64.98/col)
Fri Jun 06 23:28:31 2014  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Fri Jun 06 23:29:29 2014  commencing Lanczos iteration (8 threads)
Fri Jun 06 23:29:29 2014  memory use: 2745.1 MB
Fri Jun 06 23:30:29 2014  linear algebra at 0.0%, ETA 119h45m
Fri Jun 06 23:30:48 2014  checkpointing every 100000 dimensions
Tue Jun 10 10:35:16 2014  lanczos halted after 124254 iterations (dim = 7857660)
Tue Jun 10 10:35:38 2014  BLanczosTime: 300499
Tue Jun 10 10:35:38 2014  
Tue Jun 10 10:35:38 2014  commencing square root phase
Tue Jun 10 10:35:38 2014  reading relations for dependency 1
Tue Jun 10 10:35:38 2014  error: read_cycles can't open dependency file
Fri Jun 13 19:40:00 2014  
Fri Jun 13 19:40:00 2014  
Fri Jun 13 19:40:00 2014  Msieve v. 1.53 (SVN 965M)
Fri Jun 13 19:40:00 2014  random seeds: 9d9e63d0 c2cfd0c7
Fri Jun 13 19:40:00 2014  factoring 7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 (241 digits)
Fri Jun 13 19:40:02 2014  searching for 15-digit factors
Fri Jun 13 19:40:05 2014  commencing number field sieve (241-digit input)
Fri Jun 13 19:40:05 2014  R0: -10000000000000000000000000000000000000000
Fri Jun 13 19:40:05 2014  R1: 1
Fri Jun 13 19:40:05 2014  A0: 1
Fri Jun 13 19:40:05 2014  A1: 0
Fri Jun 13 19:40:05 2014  A2: 0
Fri Jun 13 19:40:05 2014  A3: 0
Fri Jun 13 19:40:05 2014  A4: 0
Fri Jun 13 19:40:05 2014  A5: 0
Fri Jun 13 19:40:05 2014  A6: 7
Fri Jun 13 19:40:05 2014  skew 0.72, size 6.105e-012, alpha 1.963, combined = 4.476e-013 rroots = 0
Fri Jun 13 19:40:05 2014  
Fri Jun 13 19:40:05 2014  commencing linear algebra
Fri Jun 13 19:40:28 2014  matrix starts at (0, 0)
Fri Jun 13 19:40:30 2014  matrix is 11491367 x 11491544 (3412.6 MB) with weight 994424058 (86.54/col)
Fri Jun 13 19:40:30 2014  sparse part has weight 779681963 (67.85/col)
Fri Jun 13 19:40:30 2014  saving the first 48 matrix rows for later
Fri Jun 13 19:40:33 2014  matrix includes 64 packed rows
Fri Jun 13 19:40:35 2014  matrix is 11491319 x 11491544 (3287.0 MB) with weight 794060413 (69.10/col)
Fri Jun 13 19:40:35 2014  sparse part has weight 746757948 (64.98/col)
Fri Jun 13 19:40:35 2014  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Fri Jun 13 19:41:34 2014  commencing Lanczos iteration (8 threads)
Fri Jun 13 19:41:34 2014  memory use: 2745.1 MB
Fri Jun 13 19:41:37 2014  restarting at iteration 124254 (dim = 7857660)
Fri Jun 13 19:42:34 2014  linear algebra at 68.4%, ETA 37h50m
Fri Jun 13 19:43:05 2014  checkpointing every 100000 dimensions
Sun Jun 15 09:36:13 2014  lanczos halted after 181712 iterations (dim = 11491318)
Sun Jun 15 09:36:45 2014  recovered 34 nontrivial dependencies
Sun Jun 15 09:36:50 2014  BLanczosTime: 136605
Sun Jun 15 09:36:51 2014  
Sun Jun 15 09:36:51 2014  commencing square root phase
Sun Jun 15 09:36:51 2014  reading relations for dependency 1
Sun Jun 15 09:36:53 2014  read 5747504 cycles
Sun Jun 15 09:37:03 2014  cycles contain 16275272 unique relations
Sun Jun 15 09:39:33 2014  read 16275272 relations
Sun Jun 15 09:41:03 2014  multiplying 16275272 relations
Sun Jun 15 10:06:58 2014  multiply complete, coefficients have about 446.60 million bits
Sun Jun 15 10:07:01 2014  initial square root is modulo 103140259
Sun Jun 15 10:36:17 2014  GCD is 1, no factor found
Sun Jun 15 10:36:17 2014  reading relations for dependency 2
Sun Jun 15 10:36:19 2014  read 5745370 cycles
Sun Jun 15 10:36:29 2014  cycles contain 16273378 unique relations
Sun Jun 15 10:39:07 2014  read 16273378 relations
Sun Jun 15 10:40:37 2014  multiplying 16273378 relations
Sun Jun 15 11:06:29 2014  multiply complete, coefficients have about 446.56 million bits
Sun Jun 15 11:06:31 2014  initial square root is modulo 102950293
Sun Jun 15 11:36:05 2014  sqrtTime: 7154
Sun Jun 15 11:36:05 2014  prp71 factor: 24514526286010756573241467309988425845133218566461228511820653752143043
Sun Jun 15 11:36:05 2014  prp171 factor: 285544983342980536453387034329966191768771431300906682064959974685376008253085126961450280256025185961390049564091983998091149743432726045136098367062340029538606477820907
Sun Jun 15 11:36:05 2014  elapsed time 39:56:05
software ソフトウェア
GGNFS (SVN 440), msieve 1.53 (SVN 965M)
execution environment 実行環境
Windows 7 Professional 64-bit, Intel Xeon W3530 @2.8GHz, 8 GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2010 10:00:00 UTC 2010 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6900500Serge BatalovNovember 15, 2010 22:43:13 UTC 2010 年 11 月 16 日 (火) 7 時 43 分 13 秒 (日本時間)
400Dmitry DomanovNovember 20, 2010 21:20:59 UTC 2010 年 11 月 21 日 (日) 6 時 20 分 59 秒 (日本時間)
4511e6400Dmitry DomanovNovember 20, 2010 21:20:59 UTC 2010 年 11 月 21 日 (日) 6 時 20 分 59 秒 (日本時間)
5043e61100900Dmitry DomanovNovember 20, 2010 21:20:59 UTC 2010 年 11 月 21 日 (日) 6 時 20 分 59 秒 (日本時間)
200Dmitry DomanovNovember 21, 2010 02:46:28 UTC 2010 年 11 月 21 日 (日) 11 時 46 分 28 秒 (日本時間)
5511e72690 / 1265850Dmitry DomanovNovember 21, 2010 02:47:29 UTC 2010 年 11 月 21 日 (日) 11 時 47 分 29 秒 (日本時間)
2640yoyo@homeMarch 2, 2011 16:55:17 UTC 2011 年 3 月 3 日 (木) 1 時 55 分 17 秒 (日本時間)
6026e72016 / 40865Youcef LemsaferApril 1, 2014 03:39:19 UTC 2014 年 4 月 1 日 (火) 12 時 39 分 19 秒 (日本時間)

7×10242+1

c237

composite cofactor 合成数の残り
130439781450009605958191068564553063927977861014922124655336170336465689399401206866126484474591355457535235977676908487735213206617918214629715933834234516937698792556211626246794675299047174665016665545505688013012672597452958290389141<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2010 10:00:00 UTC 2010 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6900500Serge BatalovNovember 15, 2010 22:45:19 UTC 2010 年 11 月 16 日 (火) 7 時 45 分 19 秒 (日本時間)
400Dmitry DomanovNovember 20, 2010 21:22:06 UTC 2010 年 11 月 21 日 (日) 6 時 22 分 6 秒 (日本時間)
4511e6400Dmitry DomanovNovember 20, 2010 21:22:06 UTC 2010 年 11 月 21 日 (日) 6 時 22 分 6 秒 (日本時間)
5043e6700100Dmitry DomanovNovember 20, 2010 21:22:06 UTC 2010 年 11 月 21 日 (日) 6 時 22 分 6 秒 (日本時間)
600Dmitry DomanovApril 15, 2011 05:49:57 UTC 2011 年 4 月 15 日 (金) 14 時 49 分 57 秒 (日本時間)
5511e73005 / 17487200Dmitry DomanovApril 17, 2011 09:43:21 UTC 2011 年 4 月 17 日 (日) 18 時 43 分 21 秒 (日本時間)
2805yoyo@homeJune 15, 2011 01:20:12 UTC 2011 年 6 月 15 日 (水) 10 時 20 分 12 秒 (日本時間)

7×10244+1

c231

name 名前Dmitry Domanov
date 日付November 19, 2010 21:10:56 UTC 2010 年 11 月 20 日 (土) 6 時 10 分 56 秒 (日本時間)
composite number 合成数
344801082653716616102608647990128308556652234938468423058091490698189417706981526345716031943759415698538387515875924063135624705881994310307830868775449578160878092446400684541613469239265981869003649101254024497126823567979901137<231>
prime factors 素因数
10677031187735930721468898731731821119079<41>
composite cofactor 合成数の残り
32293722533073525767151757621595371624391272004174995754345894156354618878356094370450651536695514834883159376899880361428245994074290833967933749911115094394124422099230021384106636638084103<191>
factorization results 素因数分解の結果
********** Factor found in step 2: 10677031187735930721468898731731821119079
Found probable prime factor of 41 digits: 10677031187735930721468898731731821119079
Composite cofactor 32293722533073525767151757621595371624391272004174995754345894156354618878356094370450651536695514834883159376899880361428245994074290833967933749911115094394124422099230021384106636638084103 has 191 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2010 10:00:00 UTC 2010 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6400Dmitry DomanovNovember 19, 2010 21:10:38 UTC 2010 年 11 月 20 日 (土) 6 時 10 分 38 秒 (日本時間)
4511e6400Dmitry DomanovNovember 19, 2010 21:10:38 UTC 2010 年 11 月 20 日 (土) 6 時 10 分 38 秒 (日本時間)
5043e6113439Dmitry DomanovNovember 19, 2010 21:10:38 UTC 2010 年 11 月 20 日 (土) 6 時 10 分 38 秒 (日本時間)
15Dmitry DomanovMay 15, 2011 17:42:14 UTC 2011 年 5 月 16 日 (月) 2 時 42 分 14 秒 (日本時間)
200Dmitry DomanovOctober 4, 2011 08:51:56 UTC 2011 年 10 月 4 日 (火) 17 時 51 分 56 秒 (日本時間)
880Dmitry DomanovOctober 10, 2011 22:40:04 UTC 2011 年 10 月 11 日 (火) 7 時 40 分 4 秒 (日本時間)
5511e72632 / 173371Dmitry DomanovMay 15, 2011 17:42:21 UTC 2011 年 5 月 16 日 (月) 2 時 42 分 21 秒 (日本時間)
1Dmitry DomanovMay 15, 2011 17:42:30 UTC 2011 年 5 月 16 日 (月) 2 時 42 分 30 秒 (日本時間)
2630yoyo@homeMarch 30, 2012 10:40:34 UTC 2012 年 3 月 30 日 (金) 19 時 40 分 34 秒 (日本時間)

7×10246+1

c239

name 名前processing-home
date 日付June 18, 2011 07:53:31 UTC 2011 年 6 月 18 日 (土) 16 時 53 分 31 秒 (日本時間)
composite number 合成数
20630676783074248529587563210293755166934580073817799370446645693776076420223673612601943578924515215420325091072427996145517606306510242006650911686848395362611715888430726421072036514317361070244769511146476151758444978181010970418376951<239>
prime factors 素因数
3197521979896292061856819850475614700608163083047<49>
composite cofactor 合成数の残り
6452082866915392006294917517770105988858810176348311539607924360603949584569388727504613158416319459284029675494493210762674078325607129339822456456439096296345401457837145572159488683341233<190>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 20630676783074248529587563210293755166934580073817799370446645693776076420223673612601943578924515215420325091072427996145517606306510242006650911686848395362611715888430726421072036514317361070244769511146476151758444978181010970418376951 (239 digits)
[Sat Jun 18 10:17:52 2011]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=99288629
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 456297ms
Using 29 small primes for NTT
Estimated memory usage: 841M
Initializing tables of differences for F took 281ms
Computing roots of F took 13812ms
Building F from its roots took 11234ms
Computing 1/F took 4516ms
Initializing table of differences for G took 250ms
Computing roots of G took 11641ms
Building G from its roots took 10609ms
Computing roots of G took 11609ms
Building G from its roots took 10797ms
Computing G * H took 2609ms
Reducing  G * H mod F took 2531ms
Computing roots of G took 11641ms
Building G from its roots took 10672ms
Computing G * H took 2531ms
Reducing  G * H mod F took 2485ms
Computing roots of G took 11656ms
Building G from its roots took 10687ms
Computing G * H took 2562ms
Reducing  G * H mod F took 2516ms
Computing polyeval(F,G) took 21156ms
Computing product of all F(g_i) took 78ms
Step 2 took 156547ms
********** Factor found in step 2: 3197521979896292061856819850475614700608163083047
Found probable prime factor of 49 digits: 3197521979896292061856819850475614700608163083047
Composite cofactor 6452082866915392006294917517770105988858810176348311539607924360603949584569388727504613158416319459284029675494493210762674078325607129339822456456439096296345401457837145572159488683341233 has 190 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2010 10:00:00 UTC 2010 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6900500Serge BatalovNovember 15, 2010 22:45:11 UTC 2010 年 11 月 16 日 (火) 7 時 45 分 11 秒 (日本時間)
400Dmitry DomanovNovember 20, 2010 21:22:33 UTC 2010 年 11 月 21 日 (日) 6 時 22 分 33 秒 (日本時間)
4511e6400Dmitry DomanovNovember 20, 2010 21:22:33 UTC 2010 年 11 月 21 日 (日) 6 時 22 分 33 秒 (日本時間)
5043e6700100Dmitry DomanovNovember 20, 2010 21:22:33 UTC 2010 年 11 月 21 日 (日) 6 時 22 分 33 秒 (日本時間)
600Dmitry DomanovApril 15, 2011 21:20:18 UTC 2011 年 4 月 16 日 (土) 6 時 20 分 18 秒 (日本時間)
5511e74240 / 17487200Dmitry DomanovApril 15, 2011 05:45:20 UTC 2011 年 4 月 15 日 (金) 14 時 45 分 20 秒 (日本時間)
1235yoyo@homeJune 15, 2011 11:45:11 UTC 2011 年 6 月 15 日 (水) 20 時 45 分 11 秒 (日本時間)
2805yoyo@homeNovember 10, 2011 03:45:15 UTC 2011 年 11 月 10 日 (木) 12 時 45 分 15 秒 (日本時間)

7×10247+1

c213

composite cofactor 合成数の残り
115800227753795263531073322007471921978816404369700216495884850277396090338973913210758230164953381187620584165859013864314700064865090578149219160588854390266801196997653308267301097196866229589369133642962052447<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2010 10:00:00 UTC 2010 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6400Dmitry DomanovNovember 20, 2010 21:22:55 UTC 2010 年 11 月 21 日 (日) 6 時 22 分 55 秒 (日本時間)
4511e6400Dmitry DomanovNovember 20, 2010 21:22:55 UTC 2010 年 11 月 21 日 (日) 6 時 22 分 55 秒 (日本時間)
5043e61140100Dmitry DomanovNovember 20, 2010 21:22:55 UTC 2010 年 11 月 21 日 (日) 6 時 22 分 55 秒 (日本時間)
720Dmitry DomanovOctober 2, 2011 19:49:03 UTC 2011 年 10 月 3 日 (月) 4 時 49 分 3 秒 (日本時間)
320Dmitry DomanovOctober 4, 2011 08:50:57 UTC 2011 年 10 月 4 日 (火) 17 時 50 分 57 秒 (日本時間)
5511e72630 / 17334yoyo@homeMarch 30, 2012 14:10:07 UTC 2012 年 3 月 30 日 (金) 23 時 10 分 7 秒 (日本時間)

7×10248+1

c203

name 名前Dmitry Domanov
date 日付November 17, 2010 17:30:59 UTC 2010 年 11 月 18 日 (木) 2 時 30 分 59 秒 (日本時間)
composite number 合成数
23579905571482566460338542135422229277746679876864229918920867838794068102141181725036239723518095312240693797367620718775702407667400127943576330200901901159734024595189423441754591496711702207288489983<203>
prime factors 素因数
938468829714829248723460566887067553<36>
composite cofactor 合成数の残り
25125933675013743229987417570981389824232470729869584732601334355651246026171616654425369232363903713593702396837831309821564219177453247065758515676879573535631377311<167>
factorization results 素因数分解の結果
********** Factor found in step 2: 938468829714829248723460566887067553
Found probable prime factor of 36 digits: 938468829714829248723460566887067553
Composite cofactor 25125933675013743229987417570981389824232470729869584732601334355651246026171616654425369232363903713593702396837831309821564219177453247065758515676879573535631377311 has 167 digits

c167

name 名前Wataru Sakai
date 日付November 29, 2010 01:27:35 UTC 2010 年 11 月 29 日 (月) 10 時 27 分 35 秒 (日本時間)
composite number 合成数
25125933675013743229987417570981389824232470729869584732601334355651246026171616654425369232363903713593702396837831309821564219177453247065758515676879573535631377311<167>
prime factors 素因数
12889488947484066484526136384923478380292943<44>
1949335134805180994280966773636774724507063617017380885800382610691210094245517603326531246084831785857576135150100113804977<124>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1019171859
Step 1 took 58136ms
Step 2 took 21159ms
********** Factor found in step 2: 12889488947484066484526136384923478380292943
Found probable prime factor of 44 digits: 12889488947484066484526136384923478380292943
Probable prime cofactor 1949335134805180994280966773636774724507063617017380885800382610691210094245517603326531246084831785857576135150100113804977 has 124 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 14, 2010 10:00:00 UTC 2010 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 18, 2010 20:06:50 UTC 2010 年 11 月 19 日 (金) 5 時 6 分 50 秒 (日本時間)
403e6247137Dmitry DomanovNovember 17, 2010 17:30:38 UTC 2010 年 11 月 18 日 (木) 2 時 30 分 38 秒 (日本時間)
110Ignacio SantosNovember 18, 2010 20:06:50 UTC 2010 年 11 月 19 日 (金) 5 時 6 分 50 秒 (日本時間)
4511e6652 / 440732Ignacio SantosNovember 18, 2010 20:06:50 UTC 2010 年 11 月 19 日 (金) 5 時 6 分 50 秒 (日本時間)
600Dmitry DomanovNovember 20, 2010 10:26:18 UTC 2010 年 11 月 20 日 (土) 19 時 26 分 18 秒 (日本時間)
20Dmitry DomanovNovember 20, 2010 10:26:44 UTC 2010 年 11 月 20 日 (土) 19 時 26 分 44 秒 (日本時間)

7×10249+1

c216

name 名前Dmitry Domanov
date 日付November 18, 2010 06:57:42 UTC 2010 年 11 月 18 日 (木) 15 時 57 分 42 秒 (日本時間)
composite number 合成数
106277254778255664741908196888061415475556970293581390104265169714426518734363541890642942949368146385790509162330014986009139177763816925638425722349645656387206796139248174570100230247805002110908657902512341054461<216>
prime factors 素因数
5973344053164134769041687383699233929<37>
composite cofactor 合成数の残り
17791919205115873842394951154181800349514829424156197534626674151008074168749438528387742024283888159203801632398154304615829370893075417491857904771550768436320132063594024797909<179>
factorization results 素因数分解の結果
********** Factor found in step 2: 5973344053164134769041687383699233929
Found probable prime factor of 37 digits: 5973344053164134769041687383699233929
Composite cofactor 17791919205115873842394951154181800349514829424156197534626674151008074168749438528387742024283888159203801632398154304615829370893075417491857904771550768436320132063594024797909 has 179 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 14, 2010 10:00:00 UTC 2010 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6400Dmitry DomanovNovember 18, 2010 06:57:27 UTC 2010 年 11 月 18 日 (木) 15 時 57 分 27 秒 (日本時間)
4511e657393Dmitry DomanovNovember 18, 2010 06:57:27 UTC 2010 年 11 月 18 日 (木) 15 時 57 分 27 秒 (日本時間)
480Dmitry DomanovMay 15, 2011 17:41:32 UTC 2011 年 5 月 16 日 (月) 2 時 41 分 32 秒 (日本時間)
5043e61100800Dmitry DomanovSeptember 12, 2011 20:54:01 UTC 2011 年 9 月 13 日 (火) 5 時 54 分 1 秒 (日本時間)
300Dmitry DomanovOctober 2, 2011 19:48:10 UTC 2011 年 10 月 3 日 (月) 4 時 48 分 10 秒 (日本時間)
5511e72630 / 17338yoyo@homeMarch 30, 2012 17:25:19 UTC 2012 年 3 月 31 日 (土) 2 時 25 分 19 秒 (日本時間)