Table of contents 目次

9×10106+1

c101

name 名前Shaopu Lin
date 日付April 4, 2007 20:15:27 UTC 2007 年 4 月 5 日 (木) 5 時 15 分 27 秒 (日本時間)
composite number 合成数
25921830703371594915519313636006229303938361342831476130170217141415395320879141768508259127292605913<101>
prime factors 素因数
273608402981042587412878642296398297<36>
94740623536944631063360702956769539501899999853290343142238204929<65>
factorization results 素因数分解の結果
Number: 9.106.+1
N=25921830703371594915519313636006229303938361342831476130170217141415395320879141768508259127292605913
  ( 101 digits)
SNFS difficulty: 106 digits.
Divisors found:
 r1=273608402981042587412878642296398297 (pp36)
 r2=94740623536944631063360702956769539501899999853290343142238204929 (pp65)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 1.31 hours.
Scaled time: 1.64 units (timescale=1.253).
Factorization parameters were as follows:
n: 25921830703371594915519313636006229303938361342831476130170217141415395320879141768508259127292605913
m: 1000000000000000000000
c5: 90
c0: 1 
skew: 0.4065851364889782182814046414
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 450001)
Primes: RFBsize:49098, AFBsize:64158, largePrimes:1914669 encountered
Relations: rels:1900606, finalFF:178309
Max relations in full relation-set: 32
Initial matrix: 113323 x 178309 with sparse part having weight 12518519.
Pruned matrix : 87858 x 88488 with weight 3836011.
Total sieving time: 1.14 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,106,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.31 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
CPU0: Intel(R) Pentium(R) 4 CPU 2.80GHz stepping 03
Memory: 997892k/1015744k available (2154k kernel code, 17196k reserved, 1126k data, 232k init, 98240k highmem)
Calibrating delay using timer specific routine.. 5629.20 BogoMIPS (lpj=2814601)
Total of 1 processors activated (5629.20 BogoMIPS).
x86info v1.20.  Dave Jones 2001-2006
Feedback to <davej@redhat.com>.

Found 1 CPU
--------------------------------------------------------------------------
Family: 15 Model: 3 Stepping: 3 Type: 0 Brand: 0
CPU Model: Pentium 4 (Prescott) [C0] Original OEM
Processor name string: Intel(R) Pentium(R) 4 CPU 2.80GHz

Feature flags:
 fpu vme de pse tsc msr pae mce cx8 apic sep mtrr pge mca cmov pat pse36 clflsh ds acpi mmx fxsr sse sse2 ss ht tm pbe sse3 monitor ds-cpl cntx-id
Extended feature flags:

Cache info
 Instruction trace cache: 12K uOps, 8-way associative.
 L1 Data cache: 16KB, sectored, 8-way associative. 64 byte line size.
 L2 unified cache: 1MB, sectored, 8-way associative. 64 byte line size.
TLB info
 Instruction TLB: 4K, 2MB or 4MB pages, fully associative, 128 entries.
 Data TLB: 4KB or 4MB pages, fully associative, 64 entries.
The physical package supports 1 logical processors 

2.80GHz processor (estimate).

9×10111+1

c111

name 名前Robert Backstrom
date 日付April 4, 2007 16:38:24 UTC 2007 年 4 月 5 日 (木) 1 時 38 分 24 秒 (日本時間)
composite number 合成数
101123595505617977528089887640449438202247191011235955056179775280898876404494382022471910112359550561797752809<111>
prime factors 素因数
76439746214259187150670786361768507023<38>
1322919037723783381478589398425519069856963653988055358561452629090981383<73>
factorization results 素因数分解の結果
Number: n
N=101123595505617977528089887640449438202247191011235955056179775280898876404494382022471910112359550561797752809
  ( 111 digits)
SNFS difficulty: 113 digits.
Divisors found:
 r1=76439746214259187150670786361768507023 (pp38)
 r2=1322919037723783381478589398425519069856963653988055358561452629090981383 (pp73)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 1.17 hours.
Scaled time: 1.55 units (timescale=1.324).
Factorization parameters were as follows:
name: KA_9_0_110_1
n: 101123595505617977528089887640449438202247191011235955056179775280898876404494382022471910112359550561797752809
skew: 1.22
deg: 5
c5: 10
c0: 27
m: 30000000000000000000000
type: snfs
rlim: 1500000
alim: 1500000
lpbr: 28
lpba: 28
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: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 200001)
Primes: RFBsize:114155, AFBsize:114062, largePrimes:4028981 encountered
Relations: rels:3581766, finalFF:312084
Max relations in full relation-set: 48
Initial matrix: 228284 x 312084 with sparse part having weight 9536524.
Pruned matrix : 136996 x 138201 with weight 2950017.
Total sieving time: 0.98 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.11 hours.
Total square root time: 0.01 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,113,5,0,0,0,0,0,0,0,0,1500000,1500000,28,28,48,48,2.5,2.5,50000
total time: 1.17 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

9×10113+1

c104

name 名前Shaopu Lin
date 日付April 4, 2007 20:18:30 UTC 2007 年 4 月 5 日 (木) 5 時 18 分 30 秒 (日本時間)
composite number 合成数
33474627453340210450558941161791675296296994782280919086160013356355525225661891419848286880377772846761<104>
prime factors 素因数
184673635431641860805463910676143935673766213<45>
181263705428764681773841097459967268253297158583781910475797<60>
factorization results 素因数分解の結果
Number: 9.113.+1
N=33474627453340210450558941161791675296296994782280919086160013356355525225661891419848286880377772846761
  ( 104 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=184673635431641860805463910676143935673766213 (pp45)
 r2=181263705428764681773841097459967268253297158583781910475797 (pp60)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 2.33 hours.
Scaled time: 2.97 units (timescale=1.277).
Factorization parameters were as follows:
n: 33474627453340210450558941161791675296296994782280919086160013356355525225661891419848286880377772846761
m: 100000000000000000000000
c5: 9
c0: 100
skew: 1.618644582767346099223495031
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 550001)
Primes: RFBsize:49098, AFBsize:63918, largePrimes:2311851 encountered
Relations: rels:2665234, finalFF:483823
Max relations in full relation-set: 32
Initial matrix: 113080 x 483823 with sparse part having weight 41507232.
Pruned matrix : 65593 x 66222 with weight 6026429.
Total sieving time: 2.12 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,115,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.33 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
CPU0: Intel(R) Pentium(R) 4 CPU 2.80GHz stepping 03
Memory: 997892k/1015744k available (2154k kernel code, 17196k reserved, 1126k data, 232k init, 98240k highmem)
Calibrating delay using timer specific routine.. 5629.20 BogoMIPS (lpj=2814600)
Total of 1 processors activated (5629.20 BogoMIPS).
x86info v1.20.  Dave Jones 2001-2006
Feedback to <davej@redhat.com>.

Found 1 CPU
--------------------------------------------------------------------------
Family: 15 Model: 3 Stepping: 3 Type: 0 Brand: 0
CPU Model: Pentium 4 (Prescott) [C0] Original OEM
Processor name string: Intel(R) Pentium(R) 4 CPU 2.80GHz

Feature flags:
 fpu vme de pse tsc msr pae mce cx8 apic sep mtrr pge mca cmov pat pse36 clflsh ds acpi mmx fxsr sse sse2 ss ht tm pbe sse3 monitor ds-cpl cntx-id
Extended feature flags:

Cache info
 Instruction trace cache: 12K uOps, 8-way associative.
 L1 Data cache: 16KB, sectored, 8-way associative. 64 byte line size.
 L2 unified cache: 1MB, sectored, 8-way associative. 64 byte line size.
TLB info
 Instruction TLB: 4K, 2MB or 4MB pages, fully associative, 128 entries.
 Data TLB: 4KB or 4MB pages, fully associative, 64 entries.
The physical package supports 1 logical processors 

2.80GHz processor (estimate).

9×10114+1

c114

name 名前Jo Yeong Uk
date 日付April 4, 2007 13:52:53 UTC 2007 年 4 月 4 日 (水) 22 時 52 分 53 秒 (日本時間)
composite number 合成数
529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882353<114>
prime factors 素因数
4029232093952705808639019244540988181<37>
131392720091863853149542807291473246596308272142652439543027874153558812956013<78>
factorization results 素因数分解の結果
Number: 90001_114
N=529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882353
  ( 114 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=4029232093952705808639019244540988181 (pp37)
 r2=131392720091863853149542807291473246596308272142652439543027874153558812956013 (pp78)
Version: GGNFS-0.77.1-20050930-k8
Total time: 1.42 hours.
Scaled time: 1.20 units (timescale=0.845).
Factorization parameters were as follows:
n: 529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882353
m: 10000000000000000000000000000
c4: 900
c0: 1
skew: 1
type: snfs
Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [250000, 550001)
Primes: RFBsize:37706, AFBsize:41295, largePrimes:1090214 encountered
Relations: rels:1015192, finalFF:91472
Max relations in full relation-set: 28
Initial matrix: 79070 x 91472 with sparse part having weight 5609598.
Pruned matrix : 76378 x 76837 with weight 3831971.
Total sieving time: 1.38 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,114,4,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,25000
total time: 1.42 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

9×10115+1

c93

name 名前Shaopu Lin
date 日付April 4, 2007 20:14:01 UTC 2007 年 4 月 5 日 (木) 5 時 14 分 1 秒 (日本時間)
composite number 合成数
625245280772656676746155571910659372750816392845660093458760975741039193818228550885113440171<93>
prime factors 素因数
40963716780981360581121590745000013<35>
15263392336091573406619034605037192244798168990720053726167<59>
factorization results 素因数分解の結果
Number: 9.115.+1
N=625245280772656676746155571910659372750816392845660093458760975741039193818228550885113440171
  ( 93 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=40963716780981360581121590745000013 (pp35)
 r2=15263392336091573406619034605037192244798168990720053726167 (pp59)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 1.71 hours.
Scaled time: 2.14 units (timescale=1.248).
Factorization parameters were as follows:
n: 625245280772656676746155571910659372750816392845660093458760975741039193818228550885113440171
m: 100000000000000000000000
c5: 9
c0: 1
skew: 0.6443940149772542505082929811
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 500001)
Primes: RFBsize:49098, AFBsize:64013, largePrimes:2156403 encountered
Relations: rels:2356568, finalFF:351185
Max relations in full relation-set: 32
Initial matrix: 113175 x 351185 with sparse part having weight 28702487.
Pruned matrix : 67902 x 68531 with weight 4049822.
Total sieving time: 1.55 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,115,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.71 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
CPU0: Intel(R) Pentium(R) 4 CPU 2.80GHz stepping 03
Memory: 997892k/1015744k available (2154k kernel code, 17196k reserved, 1126k data, 232k init, 98240k highmem)
Calibrating delay using timer specific routine.. 5629.20 BogoMIPS (lpj=2814600)
Total of 1 processors activated (5629.20 BogoMIPS).
x86info v1.20.  Dave Jones 2001-2006
Feedback to <davej@redhat.com>.

Found 1 CPU
--------------------------------------------------------------------------
Family: 15 Model: 3 Stepping: 3 Type: 0 Brand: 0
CPU Model: Pentium 4 (Prescott) [C0] Original OEM
Processor name string: Intel(R) Pentium(R) 4 CPU 2.80GHz

Feature flags:
 fpu vme de pse tsc msr pae mce cx8 apic sep mtrr pge mca cmov pat pse36 clflsh ds acpi mmx fxsr sse sse2 ss ht tm pbe sse3 monitor ds-cpl cntx-id
Extended feature flags:

Cache info
 Instruction trace cache: 12K uOps, 8-way associative.
 L1 Data cache: 16KB, sectored, 8-way associative. 64 byte line size.
 L2 unified cache: 1MB, sectored, 8-way associative. 64 byte line size.
TLB info
 Instruction TLB: 4K, 2MB or 4MB pages, fully associative, 128 entries.
 Data TLB: 4KB or 4MB pages, fully associative, 64 entries.
The physical package supports 1 logical processors 

2.80GHz processor (estimate).

9×10116+1

c108

name 名前Robert Backstrom
date 日付April 4, 2007 17:38:29 UTC 2007 年 4 月 5 日 (木) 2 時 38 分 29 秒 (日本時間)
composite number 合成数
319481637436666301862417530975811618189214620608706212631721564718698248156838639004348142600655848305387377<108>
prime factors 素因数
1814814873154884385579882421783353<34>
176040896601909387016192468843434263374254628094985647651842242628087932409<75>
factorization results 素因数分解の結果
Number: n
N=319481637436666301862417530975811618189214620608706212631721564718698248156838639004348142600655848305387377
  ( 108 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=1814814873154884385579882421783353 (pp34)
 r2=176040896601909387016192468843434263374254628094985647651842242628087932409 (pp75)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 2.15 hours.
Scaled time: 3.12 units (timescale=1.451).
Factorization parameters were as follows:
name: KA_9_0_115_1
n: 319481637436666301862417530975811618189214620608706212631721564718698248156838639004348142600655848305387377
skew: 1.22
deg: 5
c5: 10
c0: 27
m: 300000000000000000000000
type: snfs
rlim: 2000000
alim: 2000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [500000, 600001)
Primes: RFBsize:148933, AFBsize:148730, largePrimes:6414980 encountered
Relations: rels:5825796, finalFF:426956
Max relations in full relation-set: 28
Initial matrix: 297730 x 426956 with sparse part having weight 22437789.
Pruned matrix : 181983 x 183535 with weight 7617386.
Total sieving time: 1.61 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.41 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,118,5,0,0,0,0,0,0,0,0,2000000,2000000,28,28,48,48,2.5,2.5,50000
total time: 2.15 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

9×10117+1

c114

name 名前Jo Yeong Uk
date 日付April 4, 2007 15:08:42 UTC 2007 年 4 月 5 日 (木) 0 時 8 分 42 秒 (日本時間)
composite number 合成数
718448151991697932465873712780394348207870998642931268460126127564460764748144008940688113674463159575317314600463<114>
prime factors 素因数
12134790579207611427656536951386453899<38>
59205649022301612078526981553969233951090001376598142943906491679184248013837<77>
factorization results 素因数分解の結果
Number: 90001_117
N=718448151991697932465873712780394348207870998642931268460126127564460764748144008940688113674463159575317314600463
  ( 114 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=12134790579207611427656536951386453899 (pp38)
 r2=59205649022301612078526981553969233951090001376598142943906491679184248013837 (pp77)
Version: GGNFS-0.77.1-20050930-k8
Total time: 1.19 hours.
Scaled time: 1.08 units (timescale=0.903).
Factorization parameters were as follows:
n: 718448151991697932465873712780394348207870998642931268460126127564460764748144008940688113674463159575317314600463
m: 100000000000000000000000000000
c4: 90
c0: 1
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, 525001)
Primes: RFBsize:56543, AFBsize:56607, largePrimes:1944145 encountered
Relations: rels:1962930, finalFF:194575
Max relations in full relation-set: 28
Initial matrix: 113217 x 194575 with sparse part having weight 14642351.
Pruned matrix : 89791 x 90421 with weight 4553687.
Total sieving time: 1.13 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,117,4,0,0,0,0,0,0,0,0,700000,700000,25,25,46,46,2.4,2.4,25000
total time: 1.19 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

9×10118+1

c114

name 名前Jo Yeong Uk
date 日付April 4, 2007 22:10:13 UTC 2007 年 4 月 5 日 (木) 7 時 10 分 13 秒 (日本時間)
composite number 合成数
459012714652195865825483365889235131813151224288912802884639904525355352343259908299459895039092582864545347906137<114>
prime factors 素因数
186381179361616798004946995918881<33>
1741085366837536144261031347273683656221<40>
1414498837021419722168181729011819304044237<43>
factorization results 素因数分解の結果
Number: 90001_118
N=459012714652195865825483365889235131813151224288912802884639904525355352343259908299459895039092582864545347906137
  ( 114 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=186381179361616798004946995918881 (pp33)
 r2=1741085366837536144261031347273683656221 (pp40)
 r3=1414498837021419722168181729011819304044237 (pp43)
Version: GGNFS-0.77.1-20050930-k8
Total time: 1.71 hours.
Scaled time: 1.55 units (timescale=0.903).
Factorization parameters were as follows:
n: 459012714652195865825483365889235131813151224288912802884639904525355352343259908299459895039092582864545347906137
m: 100000000000000000000000000000
c4: 900
c0: 1
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, 625001)
Primes: RFBsize:56543, AFBsize:56367, largePrimes:1979349 encountered
Relations: rels:1930833, finalFF:130207
Max relations in full relation-set: 28
Initial matrix: 112979 x 130207 with sparse part having weight 10923724.
Pruned matrix : 108529 x 109157 with weight 7699852.
Total sieving time: 1.63 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,118,4,0,0,0,0,0,0,0,0,700000,700000,25,25,46,46,2.4,2.4,25000
total time: 1.71 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

9×10120+1

c101

name 名前Shaopu Lin
date 日付April 4, 2007 20:17:10 UTC 2007 年 4 月 5 日 (木) 5 時 17 分 10 秒 (日本時間)
composite number 合成数
34473997445402733752180794441478216709139205993978969681670845367942169957821117137970678303321865177<101>
prime factors 素因数
177543491136813067537023060576498121<36>
194172127768048952704457311156481550648638322505777201579412750737<66>
factorization results 素因数分解の結果
Number: 9.120.+1
N=34473997445402733752180794441478216709139205993978969681670845367942169957821117137970678303321865177
  ( 101 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=177543491136813067537023060576498121 (pp36)
 r2=194172127768048952704457311156481550648638322505777201579412750737 (pp66)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 2.19 hours.
Scaled time: 2.78 units (timescale=1.270).
Factorization parameters were as follows:
n: 34473997445402733752180794441478216709139205993978969681670845367942169957821117137970678303321865177
m: 1000000000000000000000000
c5: 9
c0: 1
skew: 0.6443940149772542505082929811
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 550001)
Primes: RFBsize:49098, AFBsize:64013, largePrimes:2116235 encountered
Relations: rels:2216077, finalFF:252753
Max relations in full relation-set: 32
Initial matrix: 113175 x 252753 with sparse part having weight 22900072.
Pruned matrix : 83496 x 84125 with weight 4936282.
Total sieving time: 1.99 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,120,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.19 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
CPU0: Intel(R) Pentium(R) 4 CPU 2.80GHz stepping 03
Memory: 997892k/1015744k available (2154k kernel code, 17196k reserved, 1126k data, 232k init, 98240k highmem)
Calibrating delay using timer specific routine.. 5629.20 BogoMIPS (lpj=2814600)
Total of 1 processors activated (5629.20 BogoMIPS).
x86info v1.20.  Dave Jones 2001-2006
Feedback to <davej@redhat.com>.

Found 1 CPU
--------------------------------------------------------------------------
Family: 15 Model: 3 Stepping: 3 Type: 0 Brand: 0
CPU Model: Pentium 4 (Prescott) [C0] Original OEM
Processor name string: Intel(R) Pentium(R) 4 CPU 2.80GHz

Feature flags:
 fpu vme de pse tsc msr pae mce cx8 apic sep mtrr pge mca cmov pat pse36 clflsh ds acpi mmx fxsr sse sse2 ss ht tm pbe sse3 monitor ds-cpl cntx-id
Extended feature flags:

Cache info
 Instruction trace cache: 12K uOps, 8-way associative.
 L1 Data cache: 16KB, sectored, 8-way associative. 64 byte line size.
 L2 unified cache: 1MB, sectored, 8-way associative. 64 byte line size.
TLB info
 Instruction TLB: 4K, 2MB or 4MB pages, fully associative, 128 entries.
 Data TLB: 4KB or 4MB pages, fully associative, 64 entries.
The physical package supports 1 logical processors 

2.80GHz processor (estimate).

9×10130+1

c126

name 名前Jo Yeong Uk
date 日付April 5, 2007 02:53:14 UTC 2007 年 4 月 5 日 (木) 11 時 53 分 14 秒 (日本時間)
composite number 合成数
215269289922287786338054109131962466603361549556186480610216680499711778339604048019402938664995539141936610369760883656516321<126>
prime factors 素因数
216594009296418960195645951195437<33>
993883859583954448735204608842181266122491024424875540660278630042828155798346154067493353733<93>
factorization results 素因数分解の結果
Number: 90001_130
N=215269289922287786338054109131962466603361549556186480610216680499711778339604048019402938664995539141936610369760883656516321
  ( 126 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=216594009296418960195645951195437 (pp33)
 r2=993883859583954448735204608842181266122491024424875540660278630042828155798346154067493353733 (pp93)
Version: GGNFS-0.77.1-20050930-k8
Total time: 2.48 hours.
Scaled time: 2.26 units (timescale=0.909).
Factorization parameters were as follows:
n: 215269289922287786338054109131962466603361549556186480610216680499711778339604048019402938664995539141936610369760883656516321
m: 100000000000000000000000000
c5: 9
c0: 1
skew: 1
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, 900001)
Primes: RFBsize:78498, AFBsize:78476, largePrimes:1520791 encountered
Relations: rels:1555753, finalFF:208863
Max relations in full relation-set: 28
Initial matrix: 157038 x 208863 with sparse part having weight 10306656.
Pruned matrix : 132322 x 133171 with weight 5117766.
Total sieving time: 2.41 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 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: 2.48 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

9×10137+1

c134

name 名前Jo Yeong Uk
date 日付April 5, 2007 11:22:37 UTC 2007 年 4 月 5 日 (木) 20 時 22 分 37 秒 (日本時間)
composite number 合成数
72074957956274525506526787859373748698646592456154400576599663650196204052214302874989989589172739649235204612797309201569632417714423<134>
prime factors 素因数
499844315469822755436751497077<30>
22694932497912076567821810183311352533<38>
6353612804509099688291593709903803564908420180194675150217717604303<67>
factorization results 素因数分解の結果
Number: 90001_137
N=72074957956274525506526787859373748698646592456154400576599663650196204052214302874989989589172739649235204612797309201569632417714423
  ( 134 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=499844315469822755436751497077 (pp30)
 r2=22694932497912076567821810183311352533 (pp38)
 r3=6353612804509099688291593709903803564908420180194675150217717604303 (pp67)
Version: GGNFS-0.77.1-20050930-k8
Total time: 6.82 hours.
Scaled time: 6.18 units (timescale=0.905).
Factorization parameters were as follows:
n: 72074957956274525506526787859373748698646592456154400576599663650196204052214302874989989589172739649235204612797309201569632417714423
m: 1000000000000000000000000000
c5: 900
c0: 1
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, 1700001)
Primes: RFBsize:100021, AFBsize:99793, largePrimes:1621648 encountered
Relations: rels:1655072, finalFF:231349
Max relations in full relation-set: 28
Initial matrix: 199878 x 231349 with sparse part having weight 11731570.
Pruned matrix : 185095 x 186158 with weight 8027989.
Total sieving time: 6.66 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,137,5,0,0,0,0,0,0,0,0,1300000,1300000,25,25,43,43,2.3,2.3,50000
total time: 6.82 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

9×10139+1

c126

name 名前Jo Yeong Uk
date 日付April 5, 2007 22:56:59 UTC 2007 年 4 月 6 日 (金) 7 時 56 分 59 秒 (日本時間)
composite number 合成数
291427774943488532047152968430812186544474227918461927420354897872451236915447049045959903935550375259390389351446759644503379<126>
prime factors 素因数
78922087410589632675170017604509175183<38>
80446991336116621276555908785459354423609<41>
45901044757666544367296133139543971866289750757<47>
factorization results 素因数分解の結果
Number: 90001_139
N=291427774943488532047152968430812186544474227918461927420354897872451236915447049045959903935550375259390389351446759644503379
  ( 126 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=78922087410589632675170017604509175183 (pp38)
 r2=80446991336116621276555908785459354423609 (pp41)
 r3=45901044757666544367296133139543971866289750757 (pp47)
Version: GGNFS-0.77.1-20050930-k8
Total time: 7.37 hours.
Scaled time: 6.69 units (timescale=0.908).
Factorization parameters were as follows:
n: 291427774943488532047152968430812186544474227918461927420354897872451236915447049045959903935550375259390389351446759644503379
m: 10000000000000000000000000000
c5: 9
c0: 10
skew: 1.02
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, 1150001)
Primes: RFBsize:114155, AFBsize:114347, largePrimes:2606524 encountered
Relations: rels:2587319, finalFF:291732
Max relations in full relation-set: 28
Initial matrix: 228566 x 291732 with sparse part having weight 17521246.
Pruned matrix : 192093 x 193299 with weight 9457557.
Total sieving time: 7.17 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,50000
total time: 7.37 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

9×10141+1

c114

name 名前Robert Backstrom
date 日付April 6, 2007 08:29:25 UTC 2007 年 4 月 6 日 (金) 17 時 29 分 25 秒 (日本時間)
composite number 合成数
136297741328713674413693066891690669437698508191359111723956358226887622689098652320651044431037249295329573314333<114>
prime factors 素因数
10183815601095370522960916473439173<35>
13383759748561580248834032773181350478449614572726727955728581327175944905132921<80>
factorization results 素因数分解の結果
Number: n
N=136297741328713674413693066891690669437698508191359111723956358226887622689098652320651044431037249295329573314333
  ( 114 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=10183815601095370522960916473439173 (pp35)
 r2=13383759748561580248834032773181350478449614572726727955728581327175944905132921 (pp80)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 11.33 hours.
Scaled time: 9.37 units (timescale=0.827).
Factorization parameters were as follows:
name: KA_9_0_140_1
n: 136297741328713674413693066891690669437698508191359111723956358226887622689098652320651044431037249295329573314333
skew: 1.22
deg: 5
c5: 10
c0: 27
m: 30000000000000000000000000000
type: snfs
rlim: 2500000
alim: 2500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 900001)
Primes: RFBsize:183072, AFBsize:183066, largePrimes:6647249 encountered
Relations: rels:6179370, finalFF:529120
Max relations in full relation-set: 48
Initial matrix: 366205 x 529120 with sparse part having weight 32879271.
Pruned matrix : 228116 x 230011 with weight 13740621.
Total sieving time: 9.36 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 1.59 hours.
Total square root time: 0.08 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,143,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000
total time: 11.33 hours.
 --------- CPU info (if available) ----------
CPU: AMD Athlon(tm) XP 2100+ stepping 02
Memory: 904260k/917504k available (1815k kernel code, 12496k reserved, 846k data, 272k init, 0k highmem)
Calibrating delay loop... 3440.64 BogoMIPS

9×10142+1

c138

name 名前Jo Yeong Uk
date 日付April 6, 2007 09:01:45 UTC 2007 年 4 月 6 日 (金) 18 時 1 分 45 秒 (日本時間)
composite number 合成数
392784976411080027756804999716321961480886646620085277982656361152692977441049521456970405834166182959242012281076929119768867862769657797<138>
prime factors 素因数
310418237090102149002920451352517921093<39>
1265341173550541325953165241360932050982648906067589633583866154278345401523423025383948873896217729<100>
factorization results 素因数分解の結果
Number: 90001_142
N=392784976411080027756804999716321961480886646620085277982656361152692977441049521456970405834166182959242012281076929119768867862769657797
  ( 138 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=310418237090102149002920451352517921093 (pp39)
 r2=1265341173550541325953165241360932050982648906067589633583866154278345401523423025383948873896217729 (pp100)
Version: GGNFS-0.77.1-20050930-k8
Total time: 9.89 hours.
Scaled time: 8.98 units (timescale=0.908).
Factorization parameters were as follows:
n: 392784976411080027756804999716321961480886646620085277982656361152692977441049521456970405834166182959242012281076929119768867862769657797
m: 10000000000000000000000000000
c5: 900
c0: 1
skew: 1
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, 1300001)
Primes: RFBsize:114155, AFBsize:113802, largePrimes:2682733 encountered
Relations: rels:2690141, finalFF:314070
Max relations in full relation-set: 28
Initial matrix: 228021 x 314070 with sparse part having weight 20532393.
Pruned matrix : 190077 x 191281 with weight 10216464.
Total sieving time: 9.68 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,142,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,50000
total time: 9.89 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

9×10150+1

c148

name 名前Robert Backstrom
date 日付April 7, 2007 03:18:06 UTC 2007 年 4 月 7 日 (土) 12 時 18 分 6 秒 (日本時間)
composite number 合成数
2116153303550434987067952033858452856806959793087232541735245708911356689395720667763931342581707030331530684222901481307312485304490947566423700917<148>
prime factors 素因数
3566992060520775519655367333427319075823880194840139594754009<61>
593259886101759296204495700498020412031125484426971874909743168024374007473423673233213<87>
factorization results 素因数分解の結果
Number: n
N=2116153303550434987067952033858452856806959793087232541735245708911356689395720667763931342581707030331530684222901481307312485304490947566423700917
  ( 148 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=3566992060520775519655367333427319075823880194840139594754009 (pp61)
 r2=593259886101759296204495700498020412031125484426971874909743168024374007473423673233213 (pp87)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 20.35 hours.
Scaled time: 24.33 units (timescale=1.196).
Factorization parameters were as follows:
name: KA_9_0_149_1
n: 2116153303550434987067952033858452856806959793087232541735245708911356689395720667763931342581707030331530684222901481307312485304490947566423700917
type: snfs
skew: .64
deg: 5
c5: 9
c0: 1
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 algebraic special-q in [100000, 800001)
Primes: RFBsize:216816, AFBsize:216846, largePrimes:6003304 encountered
Relations: rels:5565342, finalFF:557446
Max relations in full relation-set: 28
Initial matrix: 433726 x 557446 with sparse part having weight 22454058.
Pruned matrix : 311345 x 313577 with weight 9852861.
Total sieving time: 18.68 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 1.33 hours.
Total square root time: 0.16 hours, sqrts: 3.
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: 20.35 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

9×10151+1

c148

name 名前Robert Backstrom
date 日付April 5, 2007 13:08:08 UTC 2007 年 4 月 5 日 (木) 22 時 8 分 8 秒 (日本時間)
composite number 合成数
6299433051025407713305802477777000069993700566948974592286694197522222999930006299433051025407713305802477777000069993700566948974592286694197522223<148>
prime factors 素因数
1740270742464737399801648274260382251<37>
6819290242424764524862346427986183895917940998262231863<55>
530817791290284114816038893859259470090732398434626858971<57>
factorization results 素因数分解の結果
Number: n
N=6299433051025407713305802477777000069993700566948974592286694197522222999930006299433051025407713305802477777000069993700566948974592286694197522223
  ( 148 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=1740270742464737399801648274260382251 (pp37)
 r2=6819290242424764524862346427986183895917940998262231863 (pp55)
 r3=530817791290284114816038893859259470090732398434626858971 (pp57)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 18.56 hours.
Scaled time: 26.73 units (timescale=1.440).
Factorization parameters were as follows:
name: KA_9_0_150_1
n: 6299433051025407713305802477777000069993700566948974592286694197522222999930006299433051025407713305802477777000069993700566948974592286694197522223
skew: 1.22
deg: 5
c5: 10
c0: 27
m: 3000000000000000000000000000000
type: snfs
rlim: 2500000
alim: 2500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 850001)
Primes: RFBsize:183072, AFBsize:183066, largePrimes:6485918 encountered
Relations: rels:5920454, finalFF:416460
Max relations in full relation-set: 28
Initial matrix: 366205 x 416460 with sparse part having weight 28593043.
Pruned matrix : 325166 x 327061 with weight 18726059.
Total sieving time: 16.07 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 2.24 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,153,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000
total time: 18.56 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

9×10156+1

c156

name 名前Robert Backstrom
date 日付April 8, 2007 06:03:03 UTC 2007 年 4 月 8 日 (日) 15 時 3 分 3 秒 (日本時間)
composite number 合成数
310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862069<156>
prime factors 素因数
706993936910368903640116661982625450877<39>
8380009192709174113059633311180980138633<40>
52382271492126465895543889093087824425922340013871527868319133952371915809809<77>
factorization results 素因数分解の結果
Number: n
N=310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862069
  ( 156 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=706993936910368903640116661982625450877 (pp39)
 r2=8380009192709174113059633311180980138633 (pp40)
 r3=52382271492126465895543889093087824425922340013871527868319133952371915809809 (pp77)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 33.66 hours.
Scaled time: 44.53 units (timescale=1.323).
Factorization parameters were as follows:
name: KA_9_0_155_1
n: 310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862069
skew: 1.22
deg: 5
c5: 10
c0: 27
m: 30000000000000000000000000000000
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, 1400001)
Primes: RFBsize:216816, AFBsize:216791, largePrimes:7067476 encountered
Relations: rels:6585869, finalFF:536410
Max relations in full relation-set: 48
Initial matrix: 433674 x 536410 with sparse part having weight 43854241.
Pruned matrix : 350813 x 353045 with weight 23765257.
Total sieving time: 29.76 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 3.46 hours.
Total square root time: 0.21 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 33.66 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

9×10157+1

c156

name 名前Robert Backstrom
date 日付April 16, 2007 13:05:31 UTC 2007 年 4 月 16 日 (月) 22 時 5 分 31 秒 (日本時間)
composite number 合成数
989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989011<156>
prime factors 素因数
2130403278394440947268336034474352786160213379<46>
464236512889873201316103265893901452919829671364175589843047024998926643175420109046920841497010559322144023409<111>
factorization results 素因数分解の結果
Number: n
N=989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989011
  ( 156 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=2130403278394440947268336034474352786160213379 (pp46)
 r2=464236512889873201316103265893901452919829671364175589843047024998926643175420109046920841497010559322144023409 (pp111)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 28.69 hours.
Scaled time: 39.18 units (timescale=1.366).
Factorization parameters were as follows:
name: KA_9_0_156_1
n: 989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989011
skew: 0.26
deg: 5
c5: 900
c0: 1
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, 1200001)
Primes: RFBsize:216816, AFBsize:215581, largePrimes:6978011 encountered
Relations: rels:6516913, finalFF:544066
Max relations in full relation-set: 28
Initial matrix: 432461 x 544066 with sparse part having weight 35226913.
Pruned matrix : 337254 x 339480 with weight 19166632.
Total sieving time: 25.92 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 2.07 hours.
Total square root time: 0.45 hours, sqrts: 5.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 28.69 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

9×10160+1

c161

name 名前Jo Yeong Uk
date 日付April 6, 2007 02:22:12 UTC 2007 年 4 月 6 日 (金) 11 時 22 分 12 秒 (日本時間)
composite number 合成数
90000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<161>
prime factors 素因数
196668336511615844317373683402996797341833<42>
composite cofactor 合成数の残り
457623233085536978487969224809644797039838287759370817200669676684400841774026444495529209155367065867115087869248173497<120>
factorization results 素因数分解の結果
GMP-ECM 5.0.3 [powered by GMP 4.1.2] [ECM]
Input number is 90000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 (161 digits)
Using B1=3000000, B2=4016636514, polynomial Dickson(12), sigma=510691330
Step 1 took 77100ms
Step 2 took 63952ms
********** Factor found in step 2: 196668336511615844317373683402996797341833
Found probable prime factor of 42 digits: 196668336511615844317373683402996797341833
Composite cofactor 457623233085536978487969224809644797039838287759370817200669676684400841774026444495529209155367065867115087869248173497 has 120 digits
execution environment 実行環境
Pentium 4 2.4GHz

c120

name 名前Jo Yeong Uk
date 日付November 4, 2007 08:20:11 UTC 2007 年 11 月 4 日 (日) 17 時 20 分 11 秒 (日本時間)
composite number 合成数
457623233085536978487969224809644797039838287759370817200669676684400841774026444495529209155367065867115087869248173497<120>
prime factors 素因数
1739150909232723432175836807853304310816643860207313<52>
263130261241924464291801141224892605010946153371020043305094966475369<69>
factorization results 素因数分解の結果
Number: 90001_160
N=457623233085536978487969224809644797039838287759370817200669676684400841774026444495529209155367065867115087869248173497
  ( 120 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=1739150909232723432175836807853304310816643860207313 (pp52)
 r2=263130261241924464291801141224892605010946153371020043305094966475369 (pp69)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 27.70 hours.
Scaled time: 59.42 units (timescale=2.145).
Factorization parameters were as follows:
n: 457623233085536978487969224809644797039838287759370817200669676684400841774026444495529209155367065867115087869248173497
m: 100000000000000000000000000000000
c5: 9
c0: 1
skew: 0.64
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3600001)
Primes: RFBsize:283146, AFBsize:282992, largePrimes:5669639 encountered
Relations: rels:5735722, finalFF:684749
Max relations in full relation-set: 28
Initial matrix: 566202 x 684749 with sparse part having weight 43062449.
Pruned matrix : 470596 x 473491 with weight 28108258.
Total sieving time: 26.39 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.17 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 27.70 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

9×10161+1

c145

name 名前Robert Backstrom
date 日付July 27, 2007 13:28:07 UTC 2007 年 7 月 27 日 (金) 22 時 28 分 7 秒 (日本時間)
composite number 合成数
9298497728672348738654088152725043047653335440887426945669034198013979457141066603768096625347093326453497719648788386059162812868886287742455333<145>
prime factors 素因数
1452612416148001223786387377375980929408933<43>
6401224184307784221531476143753944364302696193784598490179821129689892756268275790197304471135782300801<103>
factorization results 素因数分解の結果
Number: n
N=9298497728672348738654088152725043047653335440887426945669034198013979457141066603768096625347093326453497719648788386059162812868886287742455333
  ( 145 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=1452612416148001223786387377375980929408933 (pp43)
 r2=6401224184307784221531476143753944364302696193784598490179821129689892756268275790197304471135782300801 (pp103)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 50.93 hours.
Scaled time: 54.65 units (timescale=1.073).
Factorization parameters were as follows:
name: KA_9_0_160_1
n: 9298497728672348738654088152725043047653335440887426945669034198013979457141066603768096625347093326453497719648788386059162812868886287742455333
skew: 0.41
deg: 5
c5: 90
c0: 1
m: 100000000000000000000000000000000
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, 2000001)
Primes: RFBsize:250150, AFBsize:249956, largePrimes:7360513 encountered
Relations: rels:6909886, finalFF:585073
Max relations in full relation-set: 28
Initial matrix: 500173 x 585073 with sparse part having weight 41263807.
Pruned matrix : 430599 x 433163 with weight 26317605.
Total sieving time: 45.72 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 4.79 hours.
Total square root time: 0.16 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 50.93 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

9×10162+1

c118

name 名前Sinkiti Sibata
date 日付June 30, 2007 13:53:07 UTC 2007 年 6 月 30 日 (土) 22 時 53 分 7 秒 (日本時間)
composite number 合成数
5246443007563021739957261207032237060105169135561012564450700562709375031236031853655679900656876972792186038868447761<118>
prime factors 素因数
152599297155465124131657187052166911440245078117469<51>
34380518818628962059427663768446076926280486458367419362075072569669<68>
factorization results 素因数分解の結果
Number: 90001_162
N=5246443007563021739957261207032237060105169135561012564450700562709375031236031853655679900656876972792186038868447761
  ( 118 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=152599297155465124131657187052166911440245078117469 (pp51)
 r2=34380518818628962059427663768446076926280486458367419362075072569669 (pp68)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 87.52 hours.
Scaled time: 59.60 units (timescale=0.681).
Factorization parameters were as follows:
name: 90001_162
n: 5246443007563021739957261207032237060105169135561012564450700562709375031236031853655679900656876972792186038868447761
m: 100000000000000000000000000000000
c5: 900
c0: 1
skew: 0.26
type: snfs
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2250000, 4350001)
Primes: RFBsize:315948, AFBsize:315061, largePrimes:5796639 encountered
Relations: rels:5953554, finalFF:716636
Max relations in full relation-set: 0
Initial matrix: 631072 x 716636 with sparse part having weight 34710609.
Pruned matrix : 561549 x 564768 with weight 26227273.
Total sieving time: 75.30 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 11.66 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,48,48,2.3,2.3,100000
total time: 87.52 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

9×10163+1

c151

name 名前Robert Backstrom
date 日付August 2, 2007 00:18:48 UTC 2007 年 8 月 2 日 (木) 9 時 18 分 48 秒 (日本時間)
composite number 合成数
1679363179430100904238066369647856492488978635545047894559404239979036929530217645752206682742665314434231355893232990238004850731203395449127465734689<151>
prime factors 素因数
259481291797001816650176355670832013<36>
580459551785892461725007555092462668798367841<45>
11149788091046450752175493549254706615173820321550790352125382027235333<71>
factorization results 素因数分解の結果
Number: n
N=1679363179430100904238066369647856492488978635545047894559404239979036929530217645752206682742665314434231355893232990238004850731203395449127465734689
  ( 151 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=259481291797001816650176355670832013 (pp36)
 r2=580459551785892461725007555092462668798367841 (pp45)
 r3=11149788091046450752175493549254706615173820321550790352125382027235333 (pp71)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 66.05 hours.
Scaled time: 47.23 units (timescale=0.715).
Factorization parameters were as follows:
name: KA_9_0_162_1
n: 1679363179430100904238066369647856492488978635545047894559404239979036929530217645752206682742665314434231355893232990238004850731203395449127465734689
skew: 0.16
deg: 5
c5: 9000
c0: 1
m: 100000000000000000000000000000000
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, 2700001)
Primes: RFBsize:250150, AFBsize:250001, largePrimes:7541796 encountered
Relations: rels:7066191, finalFF:569227
Max relations in full relation-set: 28
Initial matrix: 500218 x 569227 with sparse part having weight 42649432.
Pruned matrix : 448769 x 451334 with weight 30222203.
Total sieving time: 59.53 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 4.98 hours.
Total square root time: 1.25 hours, sqrts: 6.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 66.05 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

9×10164+1

c146

name 名前Wataru Sakai
date 日付April 25, 2007 14:59:04 UTC 2007 年 4 月 25 日 (水) 23 時 59 分 4 秒 (日本時間)
composite number 合成数
15355037523257572148455497759440135513172887107483656526476651463467826877713020175227700321626690070253183450567854027821113081310277743114751661<146>
prime factors 素因数
941596665917777874062834896326197<33>
16307446785923947920819586784374506111817003364273287474816055749579556455124440591984263685499136336546651516313<113>
factorization results 素因数分解の結果
Input number is 15355037523257572148455497759440135513172887107483656526476651463467826877713020175227700321626690070253183450567854027821113081310277743114751661 (146 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2433879795
Step 1 took 382754ms
Step 2 took 110925ms
********** Factor found in step 2: 941596665917777874062834896326197
Found probable prime factor of 33 digits: 941596665917777874062834896326197
Probable prime cofactor 16307446785923947920819586784374506111817003364273287474816055749579556455124440591984263685499136336546651516313 has 113 digits
software ソフトウェア
GMP-ECM 6.1.2

9×10167+1

c143

name 名前Robert Backstrom
date 日付November 27, 2008 00:38:13 UTC 2008 年 11 月 27 日 (木) 9 時 38 分 13 秒 (日本時間)
composite number 合成数
41716600776206258411222477166102973461160042517623071486739187464549952517470294390048761365003310345273758999726780709270940796628119644945783<143>
prime factors 素因数
7113900758268929663283411570479354669535798745893423331<55>
5864096533496964606518020454924687639490103035820928855353490102504942263905443892896093<88>
factorization results 素因数分解の結果
Number: n
N=41716600776206258411222477166102973461160042517623071486739187464549952517470294390048761365003310345273758999726780709270940796628119644945783
  ( 143 digits)
SNFS difficulty: 167 digits.
Divisors found:

Thu Nov 27 10:01:19 2008  prp55 factor: 7113900758268929663283411570479354669535798745893423331
Thu Nov 27 10:01:19 2008  prp88 factor: 5864096533496964606518020454924687639490103035820928855353490102504942263905443892896093
Thu Nov 27 10:01:19 2008  elapsed time 02:38:18 (Msieve 1.38)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 31.92 hours.
Scaled time: 57.87 units (timescale=1.813).
Factorization parameters were as follows:
name: KA_9_0_166_1
n: 41716600776206258411222477166102973461160042517623071486739187464549952517470294390048761365003310345273758999726780709270940796628119644945783
type: snfs
skew: 0.26
deg: 5
c5: 900
c0: 1
m: 1000000000000000000000000000000000
rlim: 5500000
alim: 5500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 1850001)
Primes: RFBsize:380800, AFBsize:379512, largePrimes:14682360 encountered
Relations: rels:13224417, finalFF:760889
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 31.46 hours.
Total relation processing time: 0.45 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,5500000,5500000,28,28,56,56,2.5,2.5,100000
total time: 31.92 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 4, 2007 09:00:00 UTC 2007 年 4 月 4 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6904Jo Yeong UkJuly 24, 2008 07:53:02 UTC 2008 年 7 月 24 日 (木) 16 時 53 分 2 秒 (日本時間)

9×10168+1

c139

name 名前Robert Backstrom
date 日付June 20, 2009 13:48:46 UTC 2009 年 6 月 20 日 (土) 22 時 48 分 46 秒 (日本時間)
composite number 合成数
2656694412039548462553232526428776317534088841928298827414634961259564708940735214813108191929447902768879073075808499186281445628188276129<139>
prime factors 素因数
803534758897924386932162437579226018617463265776195233<54>
3306259477416131198963892436083070510480940866548861316188259476731788862020584275713<85>
factorization results 素因数分解の結果
Number: n
N=2656694412039548462553232526428776317534088841928298827414634961259564708940735214813108191929447902768879073075808499186281445628188276129
  ( 139 digits)
SNFS difficulty: 170 digits.
Divisors found:

Sat Jun 20 12:49:06 2009  prp54 factor: 803534758897924386932162437579226018617463265776195233
Sat Jun 20 12:49:06 2009  prp85 factor: 3306259477416131198963892436083070510480940866548861316188259476731788862020584275713
Sat Jun 20 12:49:06 2009  elapsed time 01:55:16 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 43.37 hours.
Scaled time: 112.12 units (timescale=2.585).
Factorization parameters were as follows:
name: KA_9_0_167_1
n: 2656694412039548462553232526428776317534088841928298827414634961259564708940735214813108191929447902768879073075808499186281445628188276129
m: 5000000000000000000000000000000000
deg: 5
c5: 72
c0: 25
skew: 0.81
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2400000, 4868657)
Primes: RFBsize:335439, AFBsize:335327, largePrimes:16134981 encountered
Relations: rels:15152762, finalFF:557837
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1660784 hash collisions in 16908306 relations
Msieve: matrix is 905009 x 905257 (241.5 MB)

Total sieving time: 42.92 hours.
Total relation processing time: 0.45 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4800000,4800000,28,28,56,56,2.4,2.4,100000
total time: 43.37 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 4, 2007 09:00:00 UTC 2007 年 4 月 4 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6340 / 825256Jo Yeong UkJuly 24, 2008 07:57:40 UTC 2008 年 7 月 24 日 (木) 16 時 57 分 40 秒 (日本時間)
84Jo Yeong UkJuly 24, 2008 09:05:19 UTC 2008 年 7 月 24 日 (木) 18 時 5 分 19 秒 (日本時間)

9×10169+1

c150

name 名前matsui
date 日付October 24, 2008 15:21:51 UTC 2008 年 10 月 25 日 (土) 0 時 21 分 51 秒 (日本時間)
composite number 合成数
579105579481300680664203254199355666978495794312124657905662485914995879034725283343220643005997344743212838687825264828908375906570902705963398596397<150>
prime factors 素因数
11273267512862863753557060067341695659241008487576093151619<59>
51369807273759613054098903544267959129913929401519425473243091409904983605073403539507467663<92>
factorization results 素因数分解の結果
GGNFS-0.77.1-20060513-pentium-m
579105579481300680664203254199355666978495794312124657905662485914995879034725283343220643005997344743212838687825264828908375906570902705963398596397
=
11273267512862863753557060067341695659241008487576093151619* 51369807273759613054098903544267959129913929401519425473243091409904983605073403539507467663

ECM

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

9×10171+1

c148

name 名前Serge Batalov
date 日付November 7, 2008 17:00:06 UTC 2008 年 11 月 8 日 (土) 2 時 0 分 6 秒 (日本時間)
composite number 合成数
1189717438658906221837803003057716463192750863131280020458027692162119895901034234571473853525200925763890756580925220048957727612205131776046083281<148>
prime factors 素因数
51385746424530178231491293825778690117107805206225197788441809802689717<71>
23152674067043755161598533865974421832973091656998852143841113795270050798893<77>
factorization results 素因数分解の結果
SNFS difficulty: 173 digits.
Divisors found:
 r1=51385746424530178231491293825778690117107805206225197788441809802689717
 r2=23152674067043755161598533865974421832973091656998852143841113795270050798893
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.951).
Factorization parameters were as follows:
n: 1189717438658906221837803003057716463192750863131280020458027692162119895901034234571473853525200925763890756580925220048957727612205131776046083281
m: 30000000000000000000000000000000000
deg: 5
c5: 10
c0: 27
skew: 1.22
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 27
lpba: 27
Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [2950000, 5950001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 925788 x 926024
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:
snfs,173,5,0,0,0,0,0,0,0,0,5900000,5900000,27,27,54,54,2.6,2.6,200000
total time: 57.00 hours.
software ソフトウェア
Msieve-1.38
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 4, 2007 09:00:00 UTC 2007 年 4 月 4 日 (水) 18 時 0 分 0 秒 (日本時間)

9×10173+1

c163

name 名前Serge Batalov
date 日付October 10, 2008 19:24:45 UTC 2008 年 10 月 11 日 (土) 4 時 24 分 45 秒 (日本時間)
composite number 合成数
7217199947136759338491991713436421871033060911813262302390708730896124696133610146983344119522988647120966471514735115383937781143270879649291821299541605910126051<163>
prime factors 素因数
119042288029767638893284897945328190576465889847<48>
17758729179548142956399209216703776600136321973088783<53>
3413937667616485389431567664007791715409001756176675366899769851<64>
factorization results 素因数分解の結果
SNFS difficulty: 173 digits.
Divisors found:
 r1=119042288029767638893284897945328190576465889847
 r2=17758729179548142956399209216703776600136321973088783
 r3=3413937667616485389431567664007791715409001756176675366899769851
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.924).
Factorization parameters were as follows:
n: 7217199947136759338491991713436421871033060911813262302390708730896124696133610146983344119522988647120966471514735115383937781143270879649291821299541605910126051
m: 10000000000000000000000000000000000
c5: 9000
c0: 1
skew: 0.16
type: snfs
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 8000001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1277412 x 1277660
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:
snfs,173,5,0,0,0,0,0,0,0,0,9000000,9000000,27,27,54,54,2.6,2.6,100000
total time: 50.00 hours.
software ソフトウェア
Msieve-1.38
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 4, 2007 09:00:00 UTC 2007 年 4 月 4 日 (水) 18 時 0 分 0 秒 (日本時間)

9×10174+1

c175

name 名前Jo Yeong Uk
date 日付June 5, 2007 06:11:35 UTC 2007 年 6 月 5 日 (火) 15 時 11 分 35 秒 (日本時間)
composite number 合成数
9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<175>
prime factors 素因数
6701858154129508946109631584557125937056799890919240999671909373<64>
1342911143897373658594292493986198100072281134132513257099614367422167831910468286290583725850693432647730948437<112>
factorization results 素因数分解の結果
Number: 90001_174
N=9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
  ( 175 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=6701858154129508946109631584557125937056799890919240999671909373 (pp64)
 r2=1342911143897373658594292493986198100072281134132513257099614367422167831910468286290583725850693432647730948437 (pp112)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 173.62 hours.
Scaled time: 162.16 units (timescale=0.934).
Factorization parameters were as follows:
n: 9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
m: 100000000000000000000000000000000000
c5: 9
c0: 10
skew: 1.02
type: snfs
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 49/49
Sieved algebraic special-q in [4500000, 7200001)
Primes: RFBsize:602489, AFBsize:602235, largePrimes:10103196 encountered
Relations: rels:10291943, finalFF:1454570
Max relations in full relation-set: 28
Initial matrix: 1204788 x 1454570 with sparse part having weight 67687049.
Pruned matrix : 966267 x 972354 with weight 40422034.
Total sieving time: 167.46 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 5.78 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,49,49,2.6,2.6,100000
total time: 173.62 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600

9×10175+1

c137

name 名前matsui
date 日付September 13, 2009 14:40:28 UTC 2009 年 9 月 13 日 (日) 23 時 40 分 28 秒 (日本時間)
composite number 合成数
13536817181273073003693400687887924526607703152525801239445965870724371117220030478103125284496228788782993959108776273823788324466266743<137>
prime factors 素因数
1628016159426033701278393782246899502990135743608549066928747844161<67>
8314915735262452439319787506005991721407656494214518451363732004308663<70>
factorization results 素因数分解の結果
N=13536817181273073003693400687887924526607703152525801239445965870724371117220030478103125284496228788782993959108776273823788324466266743
  ( 137 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=1628016159426033701278393782246899502990135743608549066928747844161 (pp67)
 r2=8314915735262452439319787506005991721407656494214518451363732004308663 (pp70)
Version: Msieve v. 1.42
Total time: 107.83 hours.
Scaled time: 194.42 units (timescale=1.803).
Factorization parameters were as follows:
n: 13536817181273073003693400687887924526607703152525801239445965870724371117220030478103125284496228788782993959108776273823788324466266743
m: 100000000000000000000000000000000000
deg: 5
c5: 9
c0: 1
skew: 0.64
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5

Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [3000000, 5800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1032129 x 1032362
Total sieving time: 105.76 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.70 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
snfs,175.000,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,52,52,2.5,2.5,100000
total time: 107.83 hours.

ECM

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

9×10176+1

c160

name 名前Wataru Sakai
date 日付April 25, 2007 15:02:43 UTC 2007 年 4 月 26 日 (木) 0 時 2 分 43 秒 (日本時間)
composite number 合成数
2352563415295455811306780388371807136415321789698577627919108735480077502602514087663330929112459738962390066548250562905921727443950604556055059077819990480077<160>
prime factors 素因数
4153302760261926665697975045884449<34>
composite cofactor 合成数の残り
566431958152526346806249739676161934366904899317226070390042476342664318676795495580542611504898377157441268210176302406249773<126>
factorization results 素因数分解の結果
Input number is 2352563415295455811306780388371807136415321789698577627919108735480077502602514087663330929112459738962390066548250562905921727443950604556055059077819990480077 (160 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2985295769
Step 1 took 411592ms
Step 2 took 118717ms
********** Factor found in step 2: 4153302760261926665697975045884449
Found probable prime factor of 34 digits: 4153302760261926665697975045884449
Composite cofactor 566431958152526346806249739676161934366904899317226070390042476342664318676795495580542611504898377157441268210176302406249773 has 126 digits
software ソフトウェア
GMP-ECM 6.1.2

c126

name 名前Jo Yeong Uk
date 日付June 22, 2010 22:22:22 UTC 2010 年 6 月 23 日 (水) 7 時 22 分 22 秒 (日本時間)
composite number 合成数
566431958152526346806249739676161934366904899317226070390042476342664318676795495580542611504898377157441268210176302406249773<126>
prime factors 素因数
52071628666505176886879386813329622282926033465255605104727473<62>
10877938191260780793629924957632742443982245852487077181777175101<65>
factorization results 素因数分解の結果
Number: 90001_176
N=566431958152526346806249739676161934366904899317226070390042476342664318676795495580542611504898377157441268210176302406249773
  ( 126 digits)
Divisors found:
 r1=52071628666505176886879386813329622282926033465255605104727473
 r2=10877938191260780793629924957632742443982245852487077181777175101
Version: 
Total time: 60.63 hours.
Scaled time: 144.85 units (timescale=2.389).
Factorization parameters were as follows:
name: 90001_176
n: 566431958152526346806249739676161934366904899317226070390042476342664318676795495580542611504898377157441268210176302406249773
skew: 56460.21
# norm 3.65e+17
c5: 638820
c4: -49764930109
c3: -14667099438359328
c2: 132435984499573520078
c1: 10847978581920159278296842
c0: -59395303425142842945564073843
# alpha -6.34
Y1: 20878849547149
Y0: -976234144806499040492190
# Murphy_E 1.34e-10
# M 64178564727738652810141117284298821744875030505312171828491112567229769919439624367596446035608941366424067814583245562148275
type: gnfs
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved algebraic special-q in [3400000, 7100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 16969949
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1139731 x 1139979
Polynomial selection time: 6.03 hours.
Total sieving time: 48.26 hours.
Total relation processing time: 3.04 hours.
Matrix solve time: 2.74 hours.
Time per square root: 0.56 hours.
Prototype def-par.txt line would be:
gnfs,125,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6800000,6800000,28,28,53,53,2.5,2.5,100000
total time: 60.63 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 4, 2007 09:00:00 UTC 2007 年 4 月 4 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkJune 1, 2010 02:01:50 UTC 2010 年 6 月 1 日 (火) 11 時 1 分 50 秒 (日本時間)

9×10177+1

c89

name 名前Jo Yeong Uk
date 日付April 4, 2007 11:12:07 UTC 2007 年 4 月 4 日 (水) 20 時 12 分 7 秒 (日本時間)
composite number 合成数
33934875550533712760892172906874721223936456836224646032179227094613311427555598593125361<89>
prime factors 素因数
54841284613190781418275599643521<32>
618783381714794412883445208544663378606596249013437821041<57>
factorization results 素因数分解の結果
Wed Apr  4 18:38:40 2007  
Wed Apr  4 18:38:40 2007  
Wed Apr  4 18:38:40 2007  Msieve v. 1.17
Wed Apr  4 18:38:40 2007  random seeds: 4ee254d4 6fb50e17
Wed Apr  4 18:38:40 2007  factoring 33934875550533712760892172906874721223936456836224646032179227094613311427555598593125361 (89 digits)
Wed Apr  4 18:38:40 2007  commencing quadratic sieve (89-digit input)
Wed Apr  4 18:38:40 2007  using multiplier of 1
Wed Apr  4 18:38:40 2007  sieve interval: 8 blocks of size 65536
Wed Apr  4 18:38:40 2007  processing polynomials in batches of 7
Wed Apr  4 18:38:40 2007  using a sieve bound of 1556179 (58760 primes)
Wed Apr  4 18:38:40 2007  using large prime bound of 124494320 (26 bits)
Wed Apr  4 18:38:40 2007  using double large prime bound of 372622455260160 (42-49 bits)
Wed Apr  4 18:38:40 2007  using trial factoring cutoff of 49 bits
Wed Apr  4 18:38:40 2007  polynomial 'A' values have 11 factors
Wed Apr  4 19:42:36 2007  59084 relations (16766 full + 42318 combined from 610550 partial), need 58856
Wed Apr  4 19:42:36 2007  begin with 627316 relations
Wed Apr  4 19:42:36 2007  reduce to 139149 relations in 10 passes
Wed Apr  4 19:42:36 2007  attempting to read 139149 relations
Wed Apr  4 19:42:37 2007  recovered 139149 relations
Wed Apr  4 19:42:37 2007  recovered 117719 polynomials
Wed Apr  4 19:42:38 2007  attempting to build 59084 cycles
Wed Apr  4 19:42:38 2007  found 59084 cycles in 5 passes
Wed Apr  4 19:42:38 2007  distribution of cycle lengths:
Wed Apr  4 19:42:38 2007     length 1 : 16766
Wed Apr  4 19:42:38 2007     length 2 : 12234
Wed Apr  4 19:42:38 2007     length 3 : 10460
Wed Apr  4 19:42:38 2007     length 4 : 7570
Wed Apr  4 19:42:38 2007     length 5 : 5279
Wed Apr  4 19:42:38 2007     length 6 : 3087
Wed Apr  4 19:42:38 2007     length 7 : 1738
Wed Apr  4 19:42:38 2007     length 9+: 1950
Wed Apr  4 19:42:38 2007  largest cycle: 18 relations
Wed Apr  4 19:42:38 2007  matrix is 58760 x 59084 with weight 3361174 (avg 56.89/col)
Wed Apr  4 19:42:38 2007  filtering completed in 3 passes
Wed Apr  4 19:42:38 2007  matrix is 56982 x 57046 with weight 3171521 (avg 55.60/col)
Wed Apr  4 19:42:39 2007  saving the first 48 matrix rows for later
Wed Apr  4 19:42:39 2007  matrix is 56934 x 57046 with weight 2578905 (avg 45.21/col)
Wed Apr  4 19:42:39 2007  matrix includes 32 packed rows
Wed Apr  4 19:43:20 2007  lanczos halted after 902 iterations
Wed Apr  4 19:43:20 2007  recovered 14 nontrivial dependencies
Wed Apr  4 19:43:20 2007  prp32 factor: 54841284613190781418275599643521
Wed Apr  4 19:43:20 2007  prp57 factor: 618783381714794412883445208544663378606596249013437821041
Wed Apr  4 19:43:20 2007  elapsed time 01:04:40
execution environment 実行環境
Core 2 Duo E6300@2.33GHz

9×10178+1

c141

name 名前Jo Yeong Uk
date 日付June 29, 2010 22:18:26 UTC 2010 年 6 月 30 日 (水) 7 時 18 分 26 秒 (日本時間)
composite number 合成数
854979291506345519628166634586895248107835034057612689204135409051812377264630845811700927262664210543325726446234062428676191570742682692069<141>
prime factors 素因数
16306895340312817570191844620226220723966622382644916217<56>
52430537736556315336574992162476707617584521716213200794890062235644848407921473838157<86>
factorization results 素因数分解の結果
Number: 90001_178
N=854979291506345519628166634586895248107835034057612689204135409051812377264630845811700927262664210543325726446234062428676191570742682692069
  ( 141 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=16306895340312817570191844620226220723966622382644916217
 r2=52430537736556315336574992162476707617584521716213200794890062235644848407921473838157
Version: 
Total time: 79.40 hours.
Scaled time: 189.76 units (timescale=2.390).
Factorization parameters were as follows:
n: 854979291506345519628166634586895248107835034057612689204135409051812377264630845811700927262664210543325726446234062428676191570742682692069
m: 1000000000000000000000000000000000000
deg: 5
c5: 9
c0: 100
skew: 1.62
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [2800000, 5100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 17973019
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1243050 x 1243298
Total sieving time: 73.84 hours.
Total relation processing time: 2.11 hours.
Matrix solve time: 3.30 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,5600000,5600000,28,28,53,53,2.5,2.5,100000
total time: 79.40 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 4, 2007 09:00:00 UTC 2007 年 4 月 4 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkJune 1, 2010 02:02:01 UTC 2010 年 6 月 1 日 (火) 11 時 2 分 1 秒 (日本時間)

9×10179+1

c172

name 名前Jo Yeong Uk
date 日付May 24, 2010 12:43:18 UTC 2010 年 5 月 24 日 (月) 21 時 43 分 18 秒 (日本時間)
composite number 合成数
8559324138266979756599260308914187059787421196323610508563751210918494511128923592996186564316677912509042331554569462239252910234401941810119591922999483140456730671612409<172>
prime factors 素因数
18214292638284472887271115328822773<35>
469923499542123655095299548274355767770965063630396022680637696097517816764183785764630747367951412450230567122540529548703822228674473333<138>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 8559324138266979756599260308914187059787421196323610508563751210918494511128923592996186564316677912509042331554569462239252910234401941810119591922999483140456730671612409 (172 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=8153338079
Step 1 took 5569ms
Step 2 took 5055ms
********** Factor found in step 2: 18214292638284472887271115328822773
Found probable prime factor of 35 digits: 18214292638284472887271115328822773
Probable prime cofactor 469923499542123655095299548274355767770965063630396022680637696097517816764183785764630747367951412450230567122540529548703822228674473333 has 138 digits
execution environment 実行環境
Core 2 Quad Q6600

ECM

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

9×10181+1

c171

name 名前Jo Yeong Uk
date 日付July 7, 2010 03:34:02 UTC 2010 年 7 月 7 日 (水) 12 時 34 分 2 秒 (日本時間)
composite number 合成数
604945103490891258359817052889773744371138417821627744544202175043039155300432202545905145692923154892649919931946712950558748149033662658091317262343113052652529008556087<171>
prime factors 素因数
4734601525921546333993043145682476935952954233075819983<55>
127771070105660961006338772373918923933864341041637287729501831436725846598432633103762969123224517871011851684907289<117>
factorization results 素因数分解の結果
Number: 90001_181
N=604945103490891258359817052889773744371138417821627744544202175043039155300432202545905145692923154892649919931946712950558748149033662658091317262343113052652529008556087
  ( 171 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=4734601525921546333993043145682476935952954233075819983
 r2=127771070105660961006338772373918923933864341041637287729501831436725846598432633103762969123224517871011851684907289
Version: 
Total time: 83.92 hours.
Scaled time: 200.58 units (timescale=2.390).
Factorization parameters were as follows:
n: 604945103490891258359817052889773744371138417821627744544202175043039155300432202545905145692923154892649919931946712950558748149033662658091317262343113052652529008556087
m: 1000000000000000000000000000000000000
deg: 5
c5: 90
c0: 1
skew: 0.41
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: 18342656
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1246132 x 1246380
Total sieving time: 78.23 hours.
Total relation processing time: 2.24 hours.
Matrix solve time: 3.29 hours.
Time per square root: 0.16 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: 83.92 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 (2575k kernel code, 339584k reserved, 1303k data, 212k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.52 BogoMIPS (lpj=2672761)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672340)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672381)
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 4, 2007 09:00:00 UTC 2007 年 4 月 4 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkJune 1, 2010 02:02:12 UTC 2010 年 6 月 1 日 (火) 11 時 2 分 12 秒 (日本時間)
403e62111Jo Yeong UkJune 30, 2010 06:57:22 UTC 2010 年 6 月 30 日 (水) 15 時 57 分 22 秒 (日本時間)

9×10182+1

c178

name 名前Wataru Sakai
date 日付April 16, 2007 14:49:47 UTC 2007 年 4 月 16 日 (月) 23 時 49 分 47 秒 (日本時間)
composite number 合成数
9326714820149849218110407577437640548410831424811134024891965553333264246556887778894680663647574535995937697545001399007223022477382716561136615646082261624713721670103733794833<178>
prime factors 素因数
6693857016013088704017026959632722629<37>
composite cofactor 合成数の残り
1393324476133628308508018984618709804986257885467422408615899381022222419474636732587515795416876689048777120508243524120001407382238214675677<142>
factorization results 素因数分解の結果
Input number is 9326714820149849218110407577437640548410831424811134024891965553333264246556887778894680663647574535995937697545001399007223022477382716561136615646082261624713721670103733794833 (178 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2126479012
Step 1 took 476294ms
Step 2 took 132637ms
********** Factor found in step 2: 6693857016013088704017026959632722629
Found probable prime factor of 37 digits: 6693857016013088704017026959632722629
Composite cofactor 1393324476133628308508018984618709804986257885467422408615899381022222419474636732587515795416876689048777120508243524120001407382238214675677 has 142 digits
software ソフトウェア
GMP-ECM 6.1.2

c142

name 名前Jo Yeong Uk
date 日付July 11, 2010 01:41:06 UTC 2010 年 7 月 11 日 (日) 10 時 41 分 6 秒 (日本時間)
composite number 合成数
1393324476133628308508018984618709804986257885467422408615899381022222419474636732587515795416876689048777120508243524120001407382238214675677<142>
prime factors 素因数
4726208631460930201446566903865009645466671656995429969<55>
294808076575099116140601798039956053929616676312148580235298399540695811201520463984333<87>
factorization results 素因数分解の結果
Number: 90001_182
N=1393324476133628308508018984618709804986257885467422408615899381022222419474636732587515795416876689048777120508243524120001407382238214675677
  ( 142 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=4726208631460930201446566903865009645466671656995429969
 r2=294808076575099116140601798039956053929616676312148580235298399540695811201520463984333
Version: 
Total time: 85.27 hours.
Scaled time: 203.71 units (timescale=2.389).
Factorization parameters were as follows:
n: 1393324476133628308508018984618709804986257885467422408615899381022222419474636732587515795416876689048777120508243524120001407382238214675677
m: 1000000000000000000000000000000000000
deg: 5
c5: 900
c0: 1
skew: 0.26
type: snfs
lss: 1
rlim: 6600000
alim: 6600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3300000, 5700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18371175
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1270739 x 1270987
Total sieving time: 79.40 hours.
Total relation processing time: 2.26 hours.
Matrix solve time: 3.45 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,53,53,2.5,2.5,100000
total time: 85.27 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 (2575k kernel code, 339584k reserved, 1303k data, 212k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.52 BogoMIPS (lpj=2672761)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672340)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672381)
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 4, 2007 09:00:00 UTC 2007 年 4 月 4 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkJune 1, 2010 02:03:15 UTC 2010 年 6 月 1 日 (火) 11 時 3 分 15 秒 (日本時間)
403e62111Jo Yeong UkJuly 1, 2010 04:11:13 UTC 2010 年 7 月 1 日 (木) 13 時 11 分 13 秒 (日本時間)

9×10184+1

c120

name 名前Sinkiti Sibata
date 日付May 23, 2007 07:31:54 UTC 2007 年 5 月 23 日 (水) 16 時 31 分 54 秒 (日本時間)
composite number 合成数
133934743409687504113918170515371822798346958185976385775707154210049376559761047550202532079443200522363980365498629069<120>
prime factors 素因数
13545949246627659985095780182634249171497673616306498864681<59>
9887438744319177885322438170306294338262729295517657911743749<61>
factorization results 素因数分解の結果
Number: 90001_184
N=133934743409687504113918170515371822798346958185976385775707154210049376559761047550202532079443200522363980365498629069
  ( 120 digits)
Divisors found:
 r1=13545949246627659985095780182634249171497673616306498864681 (pp59)
 r2=9887438744319177885322438170306294338262729295517657911743749 (pp61)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 104.60 hours.
Scaled time: 70.50 units (timescale=0.674).
Factorization parameters were as follows:
name: 90001_184
n: 133934743409687504113918170515371822798346958185976385775707154210049376559761047550202532079443200522363980365498629069
skew: 107220.47
# norm 2.15e+16
c5: 12600
c4: 3067381107
c3: -574230821471740
c2: -9105185955287273434
c1: 2636139457254556317179812
c0: 17112993314701970007764391495
# alpha -6.21
Y1: 12502178138059
Y0: -101228296750123928750236
# Murphy_E 3.30e-10
# M 38349749078379278951104040809096706378944396920633763085781647089002458673724715501130568777671997717738236889041282710
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2250000, 4170001)
Primes: RFBsize:315948, AFBsize:316633, largePrimes:7605542 encountered
Relations: rels:7609290, finalFF:710379
Max relations in full relation-set: 0
Initial matrix: 632661 x 710379 with sparse part having weight 60425268.
Pruned matrix : 569194 x 572421 with weight 42554618.
Total sieving time: 83.95 hours.
Total relation processing time: 1.24 hours.
Matrix solve time: 18.90 hours.
Time per square root: 0.51 hours.
Prototype def-par.txt line would be:
gnfs,119,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000
total time: 104.60 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin

9×10185+1

c186

name 名前Jo Yeong Uk
date 日付May 14, 2007 23:31:55 UTC 2007 年 5 月 15 日 (火) 8 時 31 分 55 秒 (日本時間)
composite number 合成数
900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<186>
prime factors 素因数
14221071273845475492291671003825582287<38>
composite cofactor 合成数の残り
63286371516555504143607328750089379622990817116008869593801609303856339184629344856413421757600029944178214967248795969528509796283408631275118450223<149>
factorization results 素因数分解の結果
GMP-ECM 6.1.2 [powered by GMP 4.2.1] [ECM]
Input number is 900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 (186 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=668692240
Step 1 took 29980ms
Step 2 took 12338ms
********** Factor found in step 2: 14221071273845475492291671003825582287
Found probable prime factor of 38 digits: 14221071273845475492291671003825582287
Composite cofactor 63286371516555504143607328750089379622990817116008869593801609303856339184629344856413421757600029944178214967248795969528509796283408631275118450223 has 149 digits
execution environment 実行環境
Core 2 Quad Q6600

c149

name 名前Jo Yeong Uk
date 日付July 27, 2010 11:51:24 UTC 2010 年 7 月 27 日 (火) 20 時 51 分 24 秒 (日本時間)
composite number 合成数
63286371516555504143607328750089379622990817116008869593801609303856339184629344856413421757600029944178214967248795969528509796283408631275118450223<149>
prime factors 素因数
1398746122436422798688279123652137496567869477528552063179<58>
45245073785312358789412692354690874996272531432351403086796369814988138412789195525318379437<92>
factorization results 素因数分解の結果
Number: 90001_185
N=63286371516555504143607328750089379622990817116008869593801609303856339184629344856413421757600029944178214967248795969528509796283408631275118450223
  ( 149 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=1398746122436422798688279123652137496567869477528552063179
 r2=45245073785312358789412692354690874996272531432351403086796369814988138412789195525318379437
Version: 
Total time: 97.02 hours.
Scaled time: 231.01 units (timescale=2.381).
Factorization parameters were as follows:
n: 63286371516555504143607328750089379622990817116008869593801609303856339184629344856413421757600029944178214967248795969528509796283408631275118450223
m: 10000000000000000000000000000000000000
deg: 5
c5: 9
c0: 1
skew: 0.64
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, 6300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19997165
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1486117 x 1486365
Total sieving time: 88.53 hours.
Total relation processing time: 2.72 hours.
Matrix solve time: 5.08 hours.
Time per square root: 0.69 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: 97.02 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 (2575k kernel code, 339584k reserved, 1303k data, 212k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.59 BogoMIPS (lpj=2672798)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672385)
Calibrating delay using timer specific routine.. 5237.79 BogoMIPS (lpj=2618899)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672379)
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 4, 2007 09:00:00 UTC 2007 年 4 月 4 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkJune 1, 2010 02:03:39 UTC 2010 年 6 月 1 日 (火) 11 時 3 分 39 秒 (日本時間)
403e62111Jo Yeong UkJuly 1, 2010 04:11:21 UTC 2010 年 7 月 1 日 (木) 13 時 11 分 21 秒 (日本時間)
4511e63974Jo Yeong UkJuly 24, 2010 08:05:34 UTC 2010 年 7 月 24 日 (土) 17 時 5 分 34 秒 (日本時間)

9×10186+1

c162

name 名前Wataru Sakai
date 日付May 15, 2007 13:36:27 UTC 2007 年 5 月 15 日 (火) 22 時 36 分 27 秒 (日本時間)
composite number 合成数
914858284813879265427975293474419073679307332025069139289327092580075537017806492096069711805801560771714413515470756062161823440764794834861377803429889848813433<162>
prime factors 素因数
71338953778563773721289257398483341<35>
12824105714440400124634673307313813672129762979860127394144076399375268657498186011572935151644208597728853041885465975326330013<128>
factorization results 素因数分解の結果
Input number is 914858284813879265427975293474419073679307332025069139289327092580075537017806492096069711805801560771714413515470756062161823440764794834861377803429889848813433 (162 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=127397403
Step 1 took 410115ms
Step 2 took 120644ms
********** Factor found in step 2: 71338953778563773721289257398483341
Found probable prime factor of 35 digits: 71338953778563773721289257398483341
Probable prime cofactor 12824105714440400124634673307313813672129762979860127394144076399375268657498186011572935151644208597728853041885465975326330013 has 128 digits
software ソフトウェア
GMP-ECM 6.1.2

9×10187+1

c175

name 名前Wataru Sakai
date 日付April 25, 2007 15:00:59 UTC 2007 年 4 月 26 日 (木) 0 時 0 分 59 秒 (日本時間)
composite number 合成数
1960052604994079338794149424582714520830654091157167687882078886048261853176613257434154936399675195189575705389607690855960335471010615231418498452534424104410209766127321037<175>
prime factors 素因数
24068660737760877432355395211891<32>
composite cofactor 合成数の残り
81435881553600072016173523292608504397039692207307496066394773089520233394402320905105063604429647318463867320494190178646753385161893694575807<143>
factorization results 素因数分解の結果
Input number is 1960052604994079338794149424582714520830654091157167687882078886048261853176613257434154936399675195189575705389607690855960335471010615231418498452534424104410209766127321037 (175 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=339987454
Step 1 took 482065ms
Step 2 took 132398ms
********** Factor found in step 2: 24068660737760877432355395211891
Found probable prime factor of 32 digits: 24068660737760877432355395211891
Composite cofactor 81435881553600072016173523292608504397039692207307496066394773089520233394402320905105063604429647318463867320494190178646753385161893694575807 has 143 digits
software ソフトウェア
GMP-ECM 6.1.2

c143

name 名前Jo Yeong Uk
date 日付June 2, 2010 14:36:12 UTC 2010 年 6 月 2 日 (水) 23 時 36 分 12 秒 (日本時間)
composite number 合成数
81435881553600072016173523292608504397039692207307496066394773089520233394402320905105063604429647318463867320494190178646753385161893694575807<143>
prime factors 素因数
62997737916659797227839645827292492524926253<44>
1292679455591441076258485317684865804868369568936337678078930314592220711830210622816655197169909019<100>
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 81435881553600072016173523292608504397039692207307496066394773089520233394402320905105063604429647318463867320494190178646753385161893694575807 (143 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=7718575470
Step 1 took 12031ms
Step 2 took 5695ms
********** Factor found in step 2: 62997737916659797227839645827292492524926253
Found probable prime factor of 44 digits: 62997737916659797227839645827292492524926253
Probable prime cofactor 1292679455591441076258485317684865804868369568936337678078930314592220711830210622816655197169909019 has 100 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 4, 2007 09:00:00 UTC 2007 年 4 月 4 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkJune 1, 2010 02:03:49 UTC 2010 年 6 月 1 日 (火) 11 時 3 分 49 秒 (日本時間)

9×10188+1

c166

name 名前Jo Yeong Uk
date 日付August 1, 2010 01:45:28 UTC 2010 年 8 月 1 日 (日) 10 時 45 分 28 秒 (日本時間)
composite number 合成数
3085096470467553716571243018296201390389844915921257662957676179654699793002475367590978985379736811297391370822375481960768001760038496868559597961057134463224215981<166>
prime factors 素因数
93612864612448688176739475359012178966863730489880890167069<59>
32955902837068997871149936500494996280626863944640658627790369500729978539872906785823410131283255626858449<107>
factorization results 素因数分解の結果
Number: 90001_188
N=3085096470467553716571243018296201390389844915921257662957676179654699793002475367590978985379736811297391370822375481960768001760038496868559597961057134463224215981
  ( 166 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=93612864612448688176739475359012178966863730489880890167069
 r2=32955902837068997871149936500494996280626863944640658627790369500729978539872906785823410131283255626858449
Version: 
Total time: 179.73 hours.
Scaled time: 429.20 units (timescale=2.388).
Factorization parameters were as follows:
n: 3085096470467553716571243018296201390389844915921257662957676179654699793002475367590978985379736811297391370822375481960768001760038496868559597961057134463224215981
m: 100000000000000000000000000000000000000
deg: 5
c5: 9
c0: 100
skew: 1.62
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5000000, 9700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 21112949
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1937357 x 1937604
Total sieving time: 164.94 hours.
Total relation processing time: 5.23 hours.
Matrix solve time: 9.03 hours.
Time per square root: 0.54 hours.
Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,10000000,10000000,28,28,54,54,2.5,2.5,100000
total time: 179.73 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 (2575k kernel code, 339584k reserved, 1303k data, 212k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.59 BogoMIPS (lpj=2672798)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672385)
Calibrating delay using timer specific routine.. 5237.79 BogoMIPS (lpj=2618899)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672379)
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 4, 2007 09:00:00 UTC 2007 年 4 月 4 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkJune 1, 2010 02:04:02 UTC 2010 年 6 月 1 日 (火) 11 時 4 分 2 秒 (日本時間)
403e6200850Rich DickersonJuly 7, 2010 16:55:36 UTC 2010 年 7 月 8 日 (木) 1 時 55 分 36 秒 (日本時間)
1958Jo Yeong UkJuly 11, 2010 05:42:50 UTC 2010 年 7 月 11 日 (日) 14 時 42 分 50 秒 (日本時間)
4511e6399730Rich DickersonJuly 7, 2010 18:08:29 UTC 2010 年 7 月 8 日 (木) 3 時 8 分 29 秒 (日本時間)
3967Jo Yeong UkJuly 24, 2010 08:06:17 UTC 2010 年 7 月 24 日 (土) 17 時 6 分 17 秒 (日本時間)

9×10191+1

c178

name 名前Jo Yeong Uk
date 日付June 8, 2010 15:45:30 UTC 2010 年 6 月 9 日 (水) 0 時 45 分 30 秒 (日本時間)
composite number 合成数
4125689211319745148634875587195033206071389358078471912403470848886756520895730611538619729654483625649557218575022770064156124696869372420089262021995804506989196994259462677503<178>
prime factors 素因数
1225001135268909557516622349663613609998717<43>
3367906439053285381936950921888631353303906507527672006959860287122215416584094679533588342746703239057395091175335389582530157988719659<136>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.0 and --enable-asm-redc] [ECM]
Input number is 4125689211319745148634875587195033206071389358078471912403470848886756520895730611538619729654483625649557218575022770064156124696869372420089262021995804506989196994259462677503 (178 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=6287050982
Step 1 took 17066ms
Step 2 took 6825ms
********** Factor found in step 2: 1225001135268909557516622349663613609998717
Found probable prime factor of 43 digits: 1225001135268909557516622349663613609998717
Probable prime cofactor 3367906439053285381936950921888631353303906507527672006959860287122215416584094679533588342746703239057395091175335389582530157988719659 has 136 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 4, 2007 09:00:00 UTC 2007 年 4 月 4 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkJune 1, 2010 02:04:14 UTC 2010 年 6 月 1 日 (火) 11 時 4 分 14 秒 (日本時間)

9×10192+1

c190

name 名前Robert Backstrom
date 日付August 17, 2008 21:04:20 UTC 2008 年 8 月 18 日 (月) 6 時 4 分 20 秒 (日本時間)
composite number 合成数
8115419296663660955816050495942290351668169522091974752028854824165915238954012623985572587917042380522993688007213706041478809738503155996393146979260595130748422001803426510369702434625789<190>
prime factors 素因数
14734116298400713270539985713991888026642775154005017603856013<62>
550791043881235942395862556041076669468450897765276463896412425335034457457595786628772946981138862497150863003489314800842696753<129>
factorization results 素因数分解の結果
Number: n
N=8115419296663660955816050495942290351668169522091974752028854824165915238954012623985572587917042380522993688007213706041478809738503155996393146979260595130748422001803426510369702434625789
  ( 190 digits)
SNFS difficulty: 192 digits.
Divisors found:

Mon Aug 18 06:37:29 2008  prp62 factor: 14734116298400713270539985713991888026642775154005017603856013
Mon Aug 18 06:37:30 2008  prp129 factor: 550791043881235942395862556041076669468450897765276463896412425335034457457595786628772946981138862497150863003489314800842696753
Mon Aug 18 06:37:30 2008  elapsed time 06:34:54 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 151.51 hours.
Scaled time: 309.84 units (timescale=2.045).
Factorization parameters were as follows:
name: KA_9_0_191_1
n: 8115419296663660955816050495942290351668169522091974752028854824165915238954012623985572587917042380522993688007213706041478809738503155996393146979260595130748422001803426510369702434625789
type: snfs
skew: 0.26
deg: 5
c5: 900
c0: 1
m: 100000000000000000000000000000000000000
rlim: 9500000
alim: 9500000
lpbr: 28
lpba: 28
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 9500000/9500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved  special-q in [100000, 12100001)
Primes: RFBsize:633578, AFBsize:632398, largePrimes:11067961 encountered
Relations: rels:11117802, finalFF:1296478
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 151.11 hours.
Total relation processing time: 0.40 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,9500000,9500000,28,28,50,50,2.5,2.5,100000
total time: 151.51 hours.
 --------- CPU info (if available) ----------

ECM

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

9×10194+1

c170

name 名前Wataru Sakai
date 日付April 23, 2007 14:34:50 UTC 2007 年 4 月 23 日 (月) 23 時 34 分 50 秒 (日本時間)
composite number 合成数
47269363950035962938771427759874414453739582865620526771966476485686399964433109399645953504230534468969320752462990591269211222578726073834647602226282675886356028347449<170>
prime factors 素因数
6800424794926771388308831050471833<34>
6950942827174514887338020534901240077527602856760093566826256645756923667399042440819259600295410278353642353978340831657491455631029153<136>
factorization results 素因数分解の結果
Input number is 47269363950035962938771427759874414453739582865620526771966476485686399964433109399645953504230534468969320752462990591269211222578726073834647602226282675886356028347449 (170 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1421895638
Step 1 took 442897ms
Step 2 took 125936ms
********** Factor found in step 2: 6800424794926771388308831050471833
Found probable prime factor of 34 digits: 6800424794926771388308831050471833
Probable prime cofactor 6950942827174514887338020534901240077527602856760093566826256645756923667399042440819259600295410278353642353978340831657491455631029153 has 136 digits
software ソフトウェア
GMP-ECM 6.1.2

9×10195+1

c153

name 名前Jo Yeong Uk
date 日付August 15, 2010 02:02:02 UTC 2010 年 8 月 15 日 (日) 11 時 2 分 2 秒 (日本時間)
composite number 合成数
290943188952943929416223017734743387603196817752925324130758252314472136364971113186136347634916042572255336895287042231079084595756856358700011595255077<153>
prime factors 素因数
203658158177534236244704846189208743851658240885596398738484413<63>
1428585977387269745466709443000974110330528700186699457432420927230864187498147990946286729<91>
factorization results 素因数分解の結果
Number: 90001_195
N=290943188952943929416223017734743387603196817752925324130758252314472136364971113186136347634916042572255336895287042231079084595756856358700011595255077
  ( 153 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=203658158177534236244704846189208743851658240885596398738484413
 r2=1428585977387269745466709443000974110330528700186699457432420927230864187498147990946286729
Version: 
Total time: 213.61 hours.
Scaled time: 510.32 units (timescale=2.389).
Factorization parameters were as follows:
n: 290943188952943929416223017734743387603196817752925324130758252314472136364971113186136347634916042572255336895287042231079084595756856358700011595255077
m: 1000000000000000000000000000000000000000
deg: 5
c5: 9
c0: 1
skew: 0.64
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, 11400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 22934416
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2152897 x 2153144
Total sieving time: 198.49 hours.
Total relation processing time: 3.66 hours.
Matrix solve time: 10.91 hours.
Time per square root: 0.56 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: 213.61 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 4, 2007 09:00:00 UTC 2007 年 4 月 4 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkJune 1, 2010 02:04:25 UTC 2010 年 6 月 1 日 (火) 11 時 4 分 25 秒 (日本時間)
403e62111Jo Yeong UkJuly 6, 2010 00:07:55 UTC 2010 年 7 月 6 日 (火) 9 時 7 分 55 秒 (日本時間)
4511e63974Jo Yeong UkJuly 24, 2010 08:06:41 UTC 2010 年 7 月 24 日 (土) 17 時 6 分 41 秒 (日本時間)

9×10196+1

c156

name 名前Jo Yeong Uk
date 日付August 29, 2010 00:36:36 UTC 2010 年 8 月 29 日 (日) 9 時 36 分 36 秒 (日本時間)
composite number 合成数
468183206158271709437041067192679905095516353142302832825335469438037025341058753341105551468789888005112961200277229858369247536549356131933117963185455473<156>
prime factors 素因数
99308557252945961614442706199723845217343968319776579532989215553<65>
4714429643417090128691236269578114128676753726802652267619816959659359140346193454278062641<91>
factorization results 素因数分解の結果
Number: 90001_196
N=468183206158271709437041067192679905095516353142302832825335469438037025341058753341105551468789888005112961200277229858369247536549356131933117963185455473
  ( 156 digits)
SNFS difficulty: 196 digits.
Divisors found:
 r1=99308557252945961614442706199723845217343968319776579532989215553
 r2=4714429643417090128691236269578114128676753726802652267619816959659359140346193454278062641
Version: 
Total time: 272.32 hours.
Scaled time: 650.29 units (timescale=2.388).
Factorization parameters were as follows:
n: 468183206158271709437041067192679905095516353142302832825335469438037025341058753341105551468789888005112961200277229858369247536549356131933117963185455473
m: 1000000000000000000000000000000000000000
deg: 5
c5: 90
c0: 1
skew: 0.41
type: snfs
lss: 1
rlim: 14000000
alim: 14000000
lpbr: 29
lpba: 29
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14000000/14000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 55/55
Sieved rational special-q in [7000000, 13400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 34128477
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2690265 x 2690513
Total sieving time: 242.82 hours.
Total relation processing time: 11.01 hours.
Matrix solve time: 18.10 hours.
Time per square root: 0.39 hours.
Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,14000000,14000000,29,29,55,55,2.5,2.5,100000
total time: 272.32 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 (2575k kernel code, 339584k reserved, 1304k data, 212k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.56 BogoMIPS (lpj=2672782)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672380)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672340)
Calibrating delay using timer specific routine.. 5344.83 BogoMIPS (lpj=2672415)
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 4, 2007 09:00:00 UTC 2007 年 4 月 4 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkJune 1, 2010 02:04:36 UTC 2010 年 6 月 1 日 (火) 11 時 4 分 36 秒 (日本時間)
403e62111Jo Yeong UkJuly 6, 2010 00:08:05 UTC 2010 年 7 月 6 日 (火) 9 時 8 分 5 秒 (日本時間)
4511e63974Jo Yeong UkJuly 24, 2010 08:06:54 UTC 2010 年 7 月 24 日 (土) 17 時 6 分 54 秒 (日本時間)

9×10198+1

c194

name 名前Wataru Sakai
date 日付May 23, 2009 06:05:32 UTC 2009 年 5 月 23 日 (土) 15 時 5 分 32 秒 (日本時間)
composite number 合成数
43553796197269660909500050812762230147937727750059281555935172594015708402495148591034693018326469577673356207141854714214507285582241665497166583591833179281943080027680857138709162266926698961<194>
prime factors 素因数
1971332907858188412423521352631276953751910015856265250493673622099401969<73>
22093577408287644837009510470494689478804802552229642889751303060701247374764381532930283372837715454765095820414492639969<122>
factorization results 素因数分解の結果
Number: 90001_198
N=43553796197269660909500050812762230147937727750059281555935172594015708402495148591034693018326469577673356207141854714214507285582241665497166583591833179281943080027680857138709162266926698961
  ( 194 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=1971332907858188412423521352631276953751910015856265250493673622099401969
 r2=22093577408287644837009510470494689478804802552229642889751303060701247374764381532930283372837715454765095820414492639969
Version: 
Total time: 761.36 hours.
Scaled time: 1506.74 units (timescale=1.979).
Factorization parameters were as follows:
n: 43553796197269660909500050812762230147937727750059281555935172594015708402495148591034693018326469577673356207141854714214507285582241665497166583591833179281943080027680857138709162266926698961
m: 5000000000000000000000000000000000000000
deg: 5
c5: 72
c0: 25
skew: 0.81
type: snfs
lss: 1
rlim: 15300000
alim: 15300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15300000/15300000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7650000, 15450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3112132 x 3112378
Total sieving time: 761.36 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:
snfs,200,5,0,0,0,0,0,0,0,0,15300000,15300000,29,29,56,56,2.6,2.6,100000
total time: 761.36 hours.
 --------- CPU info (if available) ----------

ECM

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

9×10199+1

c185

name 名前Jo Yeong Uk
date 日付May 23, 2010 14:59:49 UTC 2010 年 5 月 23 日 (日) 23 時 59 分 49 秒 (日本時間)
composite number 合成数
66462677633894619242012436296497628451883448584116333347217796555802090712745601850045829303919789161741956247894874681805211744721204318793550086988640266010799811885330760352828421333<185>
prime factors 素因数
45411881424226740485299069025369432622931<41>
composite cofactor 合成数の残り
1463552611111098117728327182716979079011674385647319844236245875058129288779519404966260681637779119258963483780536711580154098587054055216076343<145>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 66462677633894619242012436296497628451883448584116333347217796555802090712745601850045829303919789161741956247894874681805211744721204318793550086988640266010799811885330760352828421333 (185 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1307396903
Step 1 took 6599ms
Step 2 took 5538ms
********** Factor found in step 2: 45411881424226740485299069025369432622931
Found probable prime factor of 41 digits: 45411881424226740485299069025369432622931
Composite cofactor 1463552611111098117728327182716979079011674385647319844236245875058129288779519404966260681637779119258963483780536711580154098587054055216076343 has 145 digits
execution environment 実行環境
Core 2 Quad Q6600

c145

name 名前Jo Yeong Uk
date 日付September 12, 2010 05:07:57 UTC 2010 年 9 月 12 日 (日) 14 時 7 分 57 秒 (日本時間)
composite number 合成数
1463552611111098117728327182716979079011674385647319844236245875058129288779519404966260681637779119258963483780536711580154098587054055216076343<145>
prime factors 素因数
6647203192892529652115461963744432263856597807894849365733<58>
220175699258898896235892825457521765429633446555106503667758849182137802340342658792171<87>
factorization results 素因数分解の結果
Number: 90001_199
N=1463552611111098117728327182716979079011674385647319844236245875058129288779519404966260681637779119258963483780536711580154098587054055216076343
  ( 145 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=6647203192892529652115461963744432263856597807894849365733
 r2=220175699258898896235892825457521765429633446555106503667758849182137802340342658792171
Version: 
Total time: 335.80 hours.
Scaled time: 800.56 units (timescale=2.384).
Factorization parameters were as follows:
n: 1463552611111098117728327182716979079011674385647319844236245875058129288779519404966260681637779119258963483780536711580154098587054055216076343
m: 10000000000000000000000000000000000000000
deg: 5
c5: 9
c0: 10
skew: 1.02
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, 16000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 37929476
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3080285 x 3080533
Total sieving time: 295.96 hours.
Total relation processing time: 14.93 hours.
Matrix solve time: 24.52 hours.
Time per square root: 0.39 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: 335.80 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 (2575k kernel code, 339584k reserved, 1304k data, 212k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.51 BogoMIPS (lpj=2672759)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672378)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672346)
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 4, 2007 09:00:00 UTC 2007 年 4 月 4 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkJune 1, 2010 02:04:46 UTC 2010 年 6 月 1 日 (火) 11 時 4 分 46 秒 (日本時間)
403e62111Jo Yeong UkJuly 1, 2010 04:11:45 UTC 2010 年 7 月 1 日 (木) 13 時 11 分 45 秒 (日本時間)
4511e63974Jo Yeong UkJuly 24, 2010 08:07:24 UTC 2010 年 7 月 24 日 (土) 17 時 7 分 24 秒 (日本時間)
5043e66577manhoiAugust 28, 2010 14:00:54 UTC 2010 年 8 月 28 日 (土) 23 時 0 分 54 秒 (日本時間)
5511e715156manhoiAugust 28, 2010 14:01:02 UTC 2010 年 8 月 28 日 (土) 23 時 1 分 2 秒 (日本時間)
6026e735455manhoiAugust 28, 2010 14:01:07 UTC 2010 年 8 月 28 日 (土) 23 時 1 分 7 秒 (日本時間)
6585e758003manhoiAugust 28, 2010 14:01:13 UTC 2010 年 8 月 28 日 (土) 23 時 1 分 13 秒 (日本時間)

9×10200+1

c179

name 名前Jo Yeong Uk
date 日付June 29, 2010 01:13:06 UTC 2010 年 6 月 29 日 (火) 10 時 13 分 6 秒 (日本時間)
composite number 合成数
22605120322128290234994542913326329088540242367431696402672044446973941361940320722688629269158445660264295657818619045719941047926923330869272561595953477974249006496562263505809<179>
prime factors 素因数
54325560471366932864999735485799346169348921<44>
composite cofactor 合成数の残り
416104686743961779570091231166025891996918659514328889332240200125334301046597832018696826642869371542199643400815874738837617870095129<135>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.0 and --enable-asm-redc] [ECM]
Input number is 22605120322128290234994542913326329088540242367431696402672044446973941361940320722688629269158445660264295657818619045719941047926923330869272561595953477974249006496562263505809 (179 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=6119048325
Step 1 took 17196ms
Step 2 took 6808ms
********** Factor found in step 2: 54325560471366932864999735485799346169348921
Found probable prime factor of 44 digits: 54325560471366932864999735485799346169348921
Composite cofactor 416104686743961779570091231166025891996918659514328889332240200125334301046597832018696826642869371542199643400815874738837617870095129 has 135 digits
execution environment 実行環境
Core 2 Quad Q6700

c135

name 名前Jo Yeong Uk
date 日付August 10, 2010 00:52:36 UTC 2010 年 8 月 10 日 (火) 9 時 52 分 36 秒 (日本時間)
composite number 合成数
416104686743961779570091231166025891996918659514328889332240200125334301046597832018696826642869371542199643400815874738837617870095129<135>
prime factors 素因数
48477262535846561278265393635044759914710178606530031107734721<62>
8583502140540067502926748938713553299725402041889723082558733995093877849<73>
factorization results 素因数分解の結果
Number: 90001_200
N=416104686743961779570091231166025891996918659514328889332240200125334301046597832018696826642869371542199643400815874738837617870095129
  ( 135 digits)
Divisors found:
 r1=48477262535846561278265393635044759914710178606530031107734721
 r2=8583502140540067502926748938713553299725402041889723082558733995093877849
Version: 
Total time: 177.85 hours.
Scaled time: 421.32 units (timescale=2.369).
Factorization parameters were as follows:
name: 90001_200
n: 416104686743961779570091231166025891996918659514328889332240200125334301046597832018696826642869371542199643400815874738837617870095129
skew: 268863.50
# norm 8.65e+18
c5: 168480
c4: 206786615892
c3: -14935227649224005
c2: 11198618766283811796672
c1: 114271486297482438677417820
c0: -80184699423074071224116704125000
# alpha -6.62
Y1: 249248243398181
Y0: -75601515123972478655911291
# Murphy_E 3.99e-11
# M 128812893454772410310931538086836502170941134818284407808686935981464747784664692242688103393778021871732709658252323221349131751793991
type: gnfs
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved algebraic special-q in [5000000, 9400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 21094104
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1678625 x 1678873
Total sieving time: 165.14 hours.
Total relation processing time: 5.05 hours.
Matrix solve time: 6.47 hours.
Time per square root: 1.19 hours.
Prototype def-par.txt line would be:
gnfs,134,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,10000000,10000000,28,28,55,55,2.6,2.6,100000
total time: 177.85 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 (2575k kernel code, 339584k reserved, 1303k data, 212k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.55 BogoMIPS (lpj=2672776)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672343)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672382)
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 4, 2007 09:00:00 UTC 2007 年 4 月 4 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkJune 1, 2010 02:04:56 UTC 2010 年 6 月 1 日 (火) 11 時 4 分 56 秒 (日本時間)
403e62111Jo Yeong UkJuly 1, 2010 04:11:51 UTC 2010 年 7 月 1 日 (木) 13 時 11 分 51 秒 (日本時間)
4511e63974620Ignacio SantosJuly 1, 2010 21:54:54 UTC 2010 年 7 月 2 日 (金) 6 時 54 分 54 秒 (日本時間)
2500Wataru SakaiJuly 9, 2010 09:57:05 UTC 2010 年 7 月 9 日 (金) 18 時 57 分 5 秒 (日本時間)
854Jo Yeong UkJuly 25, 2010 15:14:38 UTC 2010 年 7 月 26 日 (月) 0 時 14 分 38 秒 (日本時間)

9×10203+1

c169

name 名前Serge Batalov
date 日付November 17, 2010 17:15:09 UTC 2010 年 11 月 18 日 (木) 2 時 15 分 9 秒 (日本時間)
composite number 合成数
4225133017756599963206566061289472594314369719266091964341339688102765564288181192244044180845114343357983929855302306044916561116526994361337402384920854120995592184059<169>
prime factors 素因数
7092970766667844054985907011161062037<37>
composite cofactor 合成数の残り
595678899116835772356944384505644298114621456994704661042591386598349185900636482850002099538965305354921758398404878498567546755407<132>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=3276524334
Step 1 took 5120ms
Step 2 took 2747ms
********** Factor found in step 2: 7092970766667844054985907011161062037
Found probable prime factor of 37 digits: 7092970766667844054985907011161062037
Composite cofactor 595678899116835772356944384505644298114621456994704661042591386598349185900636482850002099538965305354921758398404878498567546755407 has 132 digits

c132

name 名前Andreas Tete
date 日付January 16, 2011 19:31:44 UTC 2011 年 1 月 17 日 (月) 4 時 31 分 44 秒 (日本時間)
composite number 合成数
595678899116835772356944384505644298114621456994704661042591386598349185900636482850002099538965305354921758398404878498567546755407<132>
prime factors 素因数
3702913682493323336581299106442629812590421141420403777193063<61>
160867616745454565774616150885364079286162383091724459368539146658345689<72>
factorization results 素因数分解の結果
Number: c132
N = 595678899116835772356944384505644298114621456994704661042591386598349185900636482850002099538965305354921758398404878498567546755407 (132 digits)
Divisors found:
r1=3702913682493323336581299106442629812590421141420403777193063 (pp61)
r2=160867616745454565774616150885364079286162383091724459368539146658345689 (pp72)
Version: Msieve v. 1.48
Total time: 97.14 hours.
Factorization parameters were as follows:
n: 595678899116835772356944384505644298114621456994704661042591386598349185900636482850002099538965305354921758398404878498567546755407
# norm 1.127646e-012 alpha -7.343717 e 6.416e-011 rroots 5
c0:  5896703385578377751148931292128800
c1:  15115657697676628127398292136
c2: -20749162353769258224424
c3: -37181115130647536
c4:  14907822651
c5:  2628
Y0: -46889488767250567147257337
Y1:  178282687441313
skew: 1366890.02
type: gnfs
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 20907621
Relations: 2618502 relations
Pruned matrix : 1520936 x 1521161
Polynomial selection time: 0.00 hours.
Total sieving time: 90.66 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 5.80 hours.
time per square root: 0.40 hours.
Prototype def-par.txt line would be: gnfs,131,5,65,2000,1e-05,0.28,250,20,50000,3600,8000000,8000000,28,28,55,55,2.5,2.5,100000
total time: 97.14 hours.
x86 Family 6 Model 23 Stepping 6, GenuineIntel
Windows-Vista-6.0.6002-SP2
processors: 2, speed: 2.09GHz
software ソフトウェア
factmsieve76.py via Msieve v 1.48
execution environment 実行環境
Core2Duo @2.1GHz , WinVista 32

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 17, 2010 04:00:00 UTC 2010 年 11 月 17 日 (水) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 18, 2010 17:31:30 UTC 2010 年 11 月 19 日 (金) 2 時 31 分 30 秒 (日本時間)
403e6860110Ignacio SantosNovember 18, 2010 17:31:30 UTC 2010 年 11 月 19 日 (金) 2 時 31 分 30 秒 (日本時間)
750Ignacio SantosNovember 19, 2010 13:33:50 UTC 2010 年 11 月 19 日 (金) 22 時 33 分 50 秒 (日本時間)
4511e6424632Ignacio SantosNovember 18, 2010 17:31:30 UTC 2010 年 11 月 19 日 (金) 2 時 31 分 30 秒 (日本時間)
214Ignacio SantosNovember 19, 2010 13:33:50 UTC 2010 年 11 月 19 日 (金) 22 時 33 分 50 秒 (日本時間)
4000Wataru SakaiDecember 21, 2010 09:35:06 UTC 2010 年 12 月 21 日 (火) 18 時 35 分 6 秒 (日本時間)
5043e658 / 6566Ignacio SantosNovember 19, 2010 13:33:50 UTC 2010 年 11 月 19 日 (金) 22 時 33 分 50 秒 (日本時間)

9×10204+1

c205

name 名前Serge Batalov
date 日付November 17, 2010 18:02:06 UTC 2010 年 11 月 18 日 (木) 3 時 2 分 6 秒 (日本時間)
composite number 合成数
9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<205>
prime factors 素因数
1880475173399211972492626483981<31>
4786024366241054208459436101416312111947998058211587440990126084638985258868466143963609680826660883559332221090868411280383200073215398961348862216254213302021305518008724421<175>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1120915879
Step 1 took 6995ms
Step 2 took 3376ms
********** Factor found in step 2: 1880475173399211972492626483981
Found probable prime factor of 31 digits: 1880475173399211972492626483981
Probable prime cofactor 4786024366241054208459436101416312111947998058211587440990126084638985258868466143963609680826660883559332221090868411280383200073215398961348862216254213302021305518008724421 has 175 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 17, 2010 04:00:00 UTC 2010 年 11 月 17 日 (水) 13 時 0 分 0 秒 (日本時間)

9×10205+1

c203

name 名前Serge Batalov
date 日付November 17, 2010 21:34:37 UTC 2010 年 11 月 18 日 (木) 6 時 34 分 37 秒 (日本時間)
composite number 合成数
20183897734918143081408387530836510428347163041040592061000224265530387979367571204305898183449203857367122673245122224714061448755326306346714509979816102265081856918591612469163489571652836958959407939<203>
prime factors 素因数
69932763853967278320445120666245413<35>
composite cofactor 合成数の残り
288618619122017049965183118410453891450608344565907452585681819930814620604811850298810928974299555800726964947500310968541106788349266296791823721048563839485884600903<168>
factorization results 素因数分解の結果
Input number is 20183897734918143081408387530836510428347163041040592061000224265530387979367571204305898183449203857367122673245122224714061448755326306346714509979816102265081856918591612469163489571652836958959407939 (203 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3802393790
Step 1 took 10535ms
Step 2 took 4930ms
********** Factor found in step 2: 69932763853967278320445120666245413
Found probable prime factor of 35 digits: 69932763853967278320445120666245413
Composite cofactor has 168 digits

c168

name 名前Serge Batalov
date 日付January 9, 2014 09:27:48 UTC 2014 年 1 月 9 日 (木) 18 時 27 分 48 秒 (日本時間)
composite number 合成数
288618619122017049965183118410453891450608344565907452585681819930814620604811850298810928974299555800726964947500310968541106788349266296791823721048563839485884600903<168>
prime factors 素因数
4129164716873954743253010394690702761300547601<46>
69897579513495418720288064800574279513930674710039183302367093151386128617745545539654750164815909698285449870443183398103<122>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=480125834
Step 1 took 11015ms
Step 2 took 4739ms
********** Factor found in step 2: 4129164716873954743253010394690702761300547601
Found probable prime factor of 46 digits: 4129164716873954743253010394690702761300547601
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 17, 2010 04:00:00 UTC 2010 年 11 月 17 日 (水) 13 時 0 分 0 秒 (日本時間)
403e6600 / 2318300Dmitry DomanovMarch 9, 2011 06:47:27 UTC 2011 年 3 月 9 日 (水) 15 時 47 分 27 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:41 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 41 秒 (日本時間)

9×10206+1

c172

composite cofactor 合成数の残り
2361221260758674360585398370705172651231664475137628724547693016869059081916910029077568913807013672073845456414007896186268314261409938798496756683122487343677937211918513<172>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 17, 2010 04:00:00 UTC 2010 年 11 月 17 日 (水) 13 時 0 分 0 秒 (日本時間)
403e61900300Dmitry DomanovMarch 9, 2011 06:47:39 UTC 2011 年 3 月 9 日 (水) 15 時 47 分 39 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:42 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 42 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:12 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 12 秒 (日本時間)
4511e6122 / 4055CypJanuary 29, 2015 21:43:09 UTC 2015 年 1 月 30 日 (金) 6 時 43 分 9 秒 (日本時間)

9×10207+1

c208

name 名前Sinkiti Sibata
date 日付December 22, 2010 23:02:44 UTC 2010 年 12 月 23 日 (木) 8 時 2 分 44 秒 (日本時間)
composite number 合成数
9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<208>
prime factors 素因数
101744358586577166746015243493392929730174037841<48>
24831821072539948693917561618331817272811491525172931753444826682677<68>
3562243485541864308444681345963074165142517828234191257570133762236875298939335199663219412493<94>
factorization results 素因数分解の結果
Number: 90001_207
N=9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
  ( 208 digits)
SNFS difficulty: 207 digits.
Divisors found:
 r1=101744358586577166746015243493392929730174037841 (pp48)
 r2=24831821072539948693917561618331817272811491525172931753444826682677 (pp68)
 r3=3562243485541864308444681345963074165142517828234191257570133762236875298939335199663219412493 (pp94)
Version: Msieve v. 1.42
Total time: 98.84 hours.
Scaled time: 83.91 units (timescale=0.849).
Factorization parameters were as follows:
name: 90001_207
n: 9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
m: 100000000000000000000000000000000000000000
deg: 5
c5: 900
c0: 1
skew: 0.26
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [10000000, 22700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 4006228 x 4006453
Total sieving time: 0.00 hours.
Total relation processing time: 0.47 hours.
Matrix solve time: 94.31 hours.
Time per square root: 4.06 hours.
Prototype def-par.txt line would be:
snfs,207.000,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 98.84 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5827.05 BogoMIPS (lpj=2913529)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268)
Total of 2 processors activated (11653.59 BogoMIPS).

Total time: 27 days.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6181 / 904118Makoto KamadaNovember 17, 2010 04:00:00 UTC 2010 年 11 月 17 日 (水) 13 時 0 分 0 秒 (日本時間)
63ruffenach timotheeDecember 13, 2010 10:34:17 UTC 2010 年 12 月 13 日 (月) 19 時 34 分 17 秒 (日本時間)

9×10209+1

c193

composite cofactor 合成数の残り
1112543534837548918915007849603804933007050570491763623547564868864297696763401551160626754032177992859433114403961289058701370702788181769551856059506181673303257929483960828785416320852834331<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 17, 2010 04:00:00 UTC 2010 年 11 月 17 日 (水) 13 時 0 分 0 秒 (日本時間)
403e61900300Dmitry DomanovMarch 9, 2011 06:47:59 UTC 2011 年 3 月 9 日 (水) 15 時 47 分 59 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:43 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 43 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:12 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 12 秒 (日本時間)
4511e6122 / 4055CypJanuary 31, 2015 04:23:05 UTC 2015 年 1 月 31 日 (土) 13 時 23 分 5 秒 (日本時間)

9×10210+1

c159

composite cofactor 合成数の残り
181853640204070860589884398802849127804893182751447898695413157243616286036695838385518900408413675076889103211174494392990851463831023456995377346451312868473<159>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 17, 2010 04:00:00 UTC 2010 年 11 月 17 日 (水) 13 時 0 分 0 秒 (日本時間)
403e61900300Dmitry DomanovMarch 9, 2011 06:48:19 UTC 2011 年 3 月 9 日 (水) 15 時 48 分 19 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:44 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 44 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:13 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 13 秒 (日本時間)
4511e6340 / 4055KTakahashiMay 16, 2015 12:59:14 UTC 2015 年 5 月 16 日 (土) 21 時 59 分 14 秒 (日本時間)

9×10211+1

c163

composite cofactor 合成数の残り
2187812906459678891683829032310827326314291149852144820546103010634436383667987205371021060869629576277160780513953997113693104221469258421773495234773084827657579<163>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 17, 2010 04:00:00 UTC 2010 年 11 月 17 日 (水) 13 時 0 分 0 秒 (日本時間)
403e61900300Dmitry DomanovMarch 9, 2011 06:48:38 UTC 2011 年 3 月 9 日 (水) 15 時 48 分 38 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:44 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 44 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:13 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 13 秒 (日本時間)
4511e60 / 3892--
5043e638 / 7471CypJanuary 23, 2014 23:23:14 UTC 2014 年 1 月 24 日 (金) 8 時 23 分 14 秒 (日本時間)
5511e74 / 17741KTakahashiSeptember 14, 2014 10:48:15 UTC 2014 年 9 月 14 日 (日) 19 時 48 分 15 秒 (日本時間)

9×10217+1

c209

composite cofactor 合成数の残り
25720622298236352389961781478694368387699016019270253743967156951006478143682719676470648947730346457899775390178960983471524297383237643478036821821783372480925431465432401142924658919106343162628517201040397<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 17, 2010 04:00:00 UTC 2010 年 11 月 17 日 (水) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 18, 2010 22:46:04 UTC 2010 年 11 月 19 日 (金) 7 時 46 分 4 秒 (日本時間)
403e6110Ignacio SantosNovember 18, 2010 22:46:04 UTC 2010 年 11 月 19 日 (金) 7 時 46 分 4 秒 (日本時間)
4511e678232Ignacio SantosNovember 18, 2010 22:46:04 UTC 2010 年 11 月 19 日 (金) 7 時 46 分 4 秒 (日本時間)
750Dmitry DomanovNovember 22, 2010 17:52:46 UTC 2010 年 11 月 23 日 (火) 2 時 52 分 46 秒 (日本時間)
5043e61040400Dmitry DomanovJune 14, 2011 19:48:58 UTC 2011 年 6 月 15 日 (水) 4 時 48 分 58 秒 (日本時間)
640Dmitry DomanovJune 16, 2011 14:39:08 UTC 2011 年 6 月 16 日 (木) 23 時 39 分 8 秒 (日本時間)
5511e75270 / 173462635yoyo@homeDecember 7, 2011 08:17:52 UTC 2011 年 12 月 7 日 (水) 17 時 17 分 52 秒 (日本時間)
2635yoyo@homeMay 26, 2012 01:45:07 UTC 2012 年 5 月 26 日 (土) 10 時 45 分 7 秒 (日本時間)
6026e71 / 39892Dmitry DomanovJune 16, 2011 14:40:11 UTC 2011 年 6 月 16 日 (木) 23 時 40 分 11 秒 (日本時間)

9×10218+1

c219

name 名前Serge Batalov
date 日付November 17, 2010 17:24:25 UTC 2010 年 11 月 18 日 (木) 2 時 24 分 25 秒 (日本時間)
composite number 合成数
900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<219>
prime factors 素因数
9730765449188606772028379689<28>
92490154520685305905932898763922355772225085465357871097524964229974673460215181479124760936897866926579937639364601529173947917925164276323431168077680785129436135677979605954262582571805209<191>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=3526446879
Step 1 took 8161ms
Step 2 took 3604ms
********** Factor found in step 2: 9730765449188606772028379689
Found probable prime factor of 28 digits: 9730765449188606772028379689
Probable prime cofactor 92490154520685305905932898763922355772225085465357871097524964229974673460215181479124760936897866926579937639364601529173947917925164276323431168077680785129436135677979605954262582571805209 has 191 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 17, 2010 04:00:00 UTC 2010 年 11 月 17 日 (水) 13 時 0 分 0 秒 (日本時間)

9×10222+1

c192

name 名前Dmitry Domanov
date 日付March 9, 2011 17:12:10 UTC 2011 年 3 月 10 日 (木) 2 時 12 分 10 秒 (日本時間)
composite number 合成数
492675234622667430113883654252785830765819376227470702640097141482452419645075878853475103176343532755917878214067260836057769793512116455969884420227873376161135177260905814978541040472364161<192>
prime factors 素因数
13202660084326183145634333190095767809<38>
composite cofactor 合成数の残り
37316361360204769927013488504625051263239189671257373760363201573862456608199626718989400936609581065584751857431699538053371282065100576366802127538195329<155>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3733869756
Step 1 took 72567ms
Step 2 took 30854ms
********** Factor found in step 2: 13202660084326183145634333190095767809
Found probable prime factor of 38 digits: 13202660084326183145634333190095767809
Composite cofactor 37316361360204769927013488504625051263239189671257373760363201573862456608199626718989400936609581065584751857431699538053371282065100576366802127538195329 has 155 digits

c155

name 名前Grubix
date 日付August 4, 2011 02:07:02 UTC 2011 年 8 月 4 日 (木) 11 時 7 分 2 秒 (日本時間)
composite number 合成数
37316361360204769927013488504625051263239189671257373760363201573862456608199626718989400936609581065584751857431699538053371282065100576366802127538195329<155>
prime factors 素因数
1569397652660140245129651153698483440621284593<46>
23777505527011124647611445221135219543368491664352255090845359354197059700350112200134414742434796967861438353<110>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 37316361360204769927013488504625051263239189671257373760363201573862456608199626718989400936609581065584751857431699538053371282065100576366802127538195329 (155 digits)
[Wed Aug 03 10:50:40 2011]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=2179109855
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 312797ms
Using 20 small primes for NTT
Estimated memory usage: 608M
Initializing tables of differences for F took 187ms
Computing roots of F took 10703ms
Building F from its roots took 7500ms
Computing 1/F took 2890ms
Initializing table of differences for G took 156ms
Computing roots of G took 8969ms
Building G from its roots took 7203ms
Computing roots of G took 8969ms
Building G from its roots took 7156ms
Computing G * H took 1656ms
Reducing  G * H mod F took 1610ms
Computing roots of G took 8969ms
Building G from its roots took 7203ms
Computing G * H took 1656ms
Reducing  G * H mod F took 1625ms
Computing roots of G took 8969ms
Building G from its roots took 7156ms
Computing G * H took 1672ms
Reducing  G * H mod F took 1641ms
Computing polyeval(F,G) took 15640ms
Computing product of all F(g_i) took 63ms
Step 2 took 112203ms
********** Factor found in step 2: 1569397652660140245129651153698483440621284593
Found probable prime factor of 46 digits: 1569397652660140245129651153698483440621284593
Probable prime cofactor 23777505527011124647611445221135219543368491664352255090845359354197059700350112200134414742434796967861438353 has 110 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 17, 2010 04:00:00 UTC 2010 年 11 月 17 日 (水) 13 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovMarch 9, 2011 06:49:08 UTC 2011 年 3 月 9 日 (水) 15 時 49 分 8 秒 (日本時間)
4511e64600600Dmitry DomanovMarch 10, 2011 16:03:49 UTC 2011 年 3 月 11 日 (金) 1 時 3 分 49 秒 (日本時間)
4000Wataru SakaiMay 1, 2011 08:25:32 UTC 2011 年 5 月 1 日 (日) 17 時 25 分 32 秒 (日本時間)
5043e60 / 120--
5511e72650 / 17479yoyo@homeJuly 31, 2011 04:35:43 UTC 2011 年 7 月 31 日 (日) 13 時 35 分 43 秒 (日本時間)

9×10223+1

c192

name 名前Serge Batalov
date 日付May 26, 2014 21:04:17 UTC 2014 年 5 月 27 日 (火) 6 時 4 分 17 秒 (日本時間)
composite number 合成数
147824219866296986577234227862892357167886612439105020874384451940300447545132043429913780352390206077441709248228308052024577245728952629882546170485614349052314929414904527556540765462198607<192>
prime factors 素因数
222703331346061646803058654987776816203529<42>
composite cofactor 合成数の残り
663771929107746393288407558857006598810691035175421948477275405804616589485080066806112981764490780266540322351658507509280482850663413677687460543383<150>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2511615562
Step 1 took 16150ms
Step 2 took 6345ms
********** Factor found in step 2: 222703331346061646803058654987776816203529
Found probable prime factor of 42 digits: 222703331346061646803058654987776816203529
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 17, 2010 04:00:00 UTC 2010 年 11 月 17 日 (水) 13 時 0 分 0 秒 (日本時間)
403e61900300Dmitry DomanovMarch 9, 2011 06:49:27 UTC 2011 年 3 月 9 日 (水) 15 時 49 分 27 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:45 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 45 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:13 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 13 秒 (日本時間)
4511e64143143KTakahashiMay 30, 2014 22:11:48 UTC 2014 年 5 月 31 日 (土) 7 時 11 分 48 秒 (日本時間)
800Dmitry DomanovMarch 1, 2016 13:16:29 UTC 2016 年 3 月 1 日 (火) 22 時 16 分 29 秒 (日本時間)
3200Lionel DebrouxJanuary 3, 2018 15:49:35 UTC 2018 年 1 月 4 日 (木) 0 時 49 分 35 秒 (日本時間)

9×10224+1

c195

composite cofactor 合成数の残り
127516402356001910676107862506855232972689108658940365712076018356824624224053579458399561367465730769135525368819692684873478394757136408805446478728318741873471915298318078961118062636005335813<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 17, 2010 04:00:00 UTC 2010 年 11 月 17 日 (水) 13 時 0 分 0 秒 (日本時間)
403e61900300Dmitry DomanovMarch 9, 2011 06:49:46 UTC 2011 年 3 月 9 日 (水) 15 時 49 分 46 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:46 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 46 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:14 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 14 秒 (日本時間)
4511e60 / 3892--
5043e638 / 7471CypJanuary 12, 2014 12:24:47 UTC 2014 年 1 月 12 日 (日) 21 時 24 分 47 秒 (日本時間)
5511e74 / 17741KTakahashiSeptember 14, 2014 11:37:17 UTC 2014 年 9 月 14 日 (日) 20 時 37 分 17 秒 (日本時間)

9×10225+1

c226

name 名前RSALS + Lionel Debroux
date 日付December 20, 2011 18:42:16 UTC 2011 年 12 月 21 日 (水) 3 時 42 分 16 秒 (日本時間)
composite number 合成数
9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<226>
prime factors 素因数
55860891436501654543388235514847701877446244157135259823<56>
1789706850532559048876839886939939713204869553571156217335388536575634330448059<79>
90022847726048101649529513026031808920766061566345195734033515858979950502970757919430285693<92>
factorization results 素因数分解の結果
<sieving by RSALS>

<post-processing by Lionel Debroux>

Tue Dec 13 20:38:39 2011  Msieve v. 1.50 (SVN 688M)
Tue Dec 13 20:38:39 2011  random seeds: dc3e000b aea72940
Tue Dec 13 20:38:39 2011  factoring 9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 (226 digits)
Tue Dec 13 20:38:41 2011  searching for 15-digit factors
Tue Dec 13 20:38:41 2011  commencing number field sieve (226-digit input)
Tue Dec 13 20:38:41 2011  R0: -10000000000000000000000000000000000000
Tue Dec 13 20:38:41 2011  R1: 1
Tue Dec 13 20:38:41 2011  A0: 1
Tue Dec 13 20:38:41 2011  A1: 0
Tue Dec 13 20:38:41 2011  A2: 0
Tue Dec 13 20:38:41 2011  A3: 0
Tue Dec 13 20:38:41 2011  A4: 0
Tue Dec 13 20:38:41 2011  A5: 0
Tue Dec 13 20:38:41 2011  A6: 9000
Tue Dec 13 20:38:41 2011  skew 0.22, size 2.067e-11, alpha 0.996, combined = 1.105e-12 rroots = 0
Tue Dec 13 20:38:41 2011  
Tue Dec 13 20:38:41 2011  commencing relation filtering with target density 85.00
Tue Dec 13 20:38:41 2011  estimated available RAM is 3072.0 MB
Tue Dec 13 20:38:41 2011  commencing duplicate removal, pass 1
<snip errors reading relations>
Tue Dec 13 20:50:48 2011  skipped 131 relations with b > 2^32
Tue Dec 13 20:50:48 2011  found 22220107 hash collisions in 118474319 relations
Tue Dec 13 20:51:03 2011  added 1 free relations
Tue Dec 13 20:51:03 2011  commencing duplicate removal, pass 2
Tue Dec 13 20:54:19 2011  found 21254598 duplicates and 97219722 unique relations
Tue Dec 13 20:54:19 2011  memory use: 660.8 MB
Tue Dec 13 20:54:20 2011  reading ideals above 720000
Tue Dec 13 20:54:20 2011  commencing singleton removal, initial pass
Tue Dec 13 21:10:58 2011  memory use: 2756.0 MB
Tue Dec 13 21:10:59 2011  removing singletons from LP file
Tue Dec 13 21:10:59 2011  start with 97219722 relations and 90570125 ideals
Tue Dec 13 21:12:56 2011  pass 1: found 26769593 singletons
Tue Dec 13 21:13:51 2011  pass 2: found 6437137 singletons
Tue Dec 13 21:14:43 2011  pass 3: found 1637660 singletons
Tue Dec 13 21:15:34 2011  pass 4: found 415448 singletons
Tue Dec 13 21:17:20 2011  pruned dataset has 61959884 relations and 51582595 large ideals
Tue Dec 13 21:17:21 2011  reading all ideals from disk
Tue Dec 13 21:18:01 2011  memory use: 2336.6 MB
Tue Dec 13 21:18:14 2011  keeping 51375329 ideals with weight <= 200, target excess is 323344
Tue Dec 13 21:18:26 2011  commencing in-memory singleton removal
Tue Dec 13 21:18:37 2011  begin with 61959884 relations and 51375329 unique ideals
Tue Dec 13 21:20:47 2011  reduce to 61818281 relations and 51233646 ideals in 11 passes
Tue Dec 13 21:20:47 2011  max relations containing the same ideal: 200
Tue Dec 13 21:21:37 2011  removing 9702740 relations and 7702741 ideals in 2000000 cliques
Tue Dec 13 21:21:40 2011  commencing in-memory singleton removal
Tue Dec 13 21:21:50 2011  begin with 52115541 relations and 51233646 unique ideals
Tue Dec 13 21:23:17 2011  reduce to 51192976 relations and 42574151 ideals in 9 passes
Tue Dec 13 21:23:17 2011  max relations containing the same ideal: 186
Tue Dec 13 21:23:57 2011  removing 7426975 relations and 5426975 ideals in 2000000 cliques
Tue Dec 13 21:24:01 2011  commencing in-memory singleton removal
Tue Dec 13 21:24:08 2011  begin with 43766001 relations and 42574151 unique ideals
Tue Dec 13 21:25:10 2011  reduce to 43052619 relations and 36407109 ideals in 8 passes
Tue Dec 13 21:25:10 2011  max relations containing the same ideal: 167
Tue Dec 13 21:25:45 2011  removing 6751847 relations and 4751847 ideals in 2000000 cliques
Tue Dec 13 21:25:48 2011  commencing in-memory singleton removal
Tue Dec 13 21:25:54 2011  begin with 36300772 relations and 36407109 unique ideals
Tue Dec 13 21:26:44 2011  reduce to 35602587 relations and 30927673 ideals in 8 passes
Tue Dec 13 21:26:44 2011  max relations containing the same ideal: 144
Tue Dec 13 21:27:13 2011  removing 6427785 relations and 4427785 ideals in 2000000 cliques
Tue Dec 13 21:27:16 2011  commencing in-memory singleton removal
Tue Dec 13 21:27:21 2011  begin with 29174802 relations and 30927673 unique ideals
Tue Dec 13 21:28:00 2011  reduce to 28429780 relations and 25717778 ideals in 8 passes
Tue Dec 13 21:28:00 2011  max relations containing the same ideal: 123
Tue Dec 13 21:28:23 2011  removing 6113219 relations and 4113219 ideals in 2000000 cliques
Tue Dec 13 21:28:26 2011  commencing in-memory singleton removal
Tue Dec 13 21:28:29 2011  begin with 22316561 relations and 25717778 unique ideals
Tue Dec 13 21:29:06 2011  reduce to 21407079 relations and 20637037 ideals in 10 passes
Tue Dec 13 21:29:06 2011  max relations containing the same ideal: 102
Tue Dec 13 21:29:23 2011  removing 1759028 relations and 1364066 ideals in 394962 cliques
Tue Dec 13 21:29:25 2011  commencing in-memory singleton removal
Tue Dec 13 21:29:28 2011  begin with 19648051 relations and 20637037 unique ideals
Tue Dec 13 21:29:51 2011  reduce to 19558422 relations and 19181783 ideals in 7 passes
Tue Dec 13 21:29:51 2011  max relations containing the same ideal: 96
Tue Dec 13 21:30:12 2011  relations with 0 large ideals: 11658
Tue Dec 13 21:30:12 2011  relations with 1 large ideals: 2349
Tue Dec 13 21:30:12 2011  relations with 2 large ideals: 34734
Tue Dec 13 21:30:12 2011  relations with 3 large ideals: 266600
Tue Dec 13 21:30:12 2011  relations with 4 large ideals: 1134118
Tue Dec 13 21:30:12 2011  relations with 5 large ideals: 2922338
Tue Dec 13 21:30:12 2011  relations with 6 large ideals: 4772368
Tue Dec 13 21:30:12 2011  relations with 7+ large ideals: 10414257
Tue Dec 13 21:30:12 2011  commencing 2-way merge
Tue Dec 13 21:30:33 2011  reduce to 13528344 relation sets and 13151705 unique ideals
Tue Dec 13 21:30:33 2011  commencing full merge
Tue Dec 13 21:37:47 2011  memory use: 1708.7 MB
Tue Dec 13 21:37:49 2011  found 6716964 cycles, need 6669905
Tue Dec 13 21:37:52 2011  weight of 6669905 cycles is about 567177283 (85.04/cycle)
Tue Dec 13 21:37:52 2011  distribution of cycle lengths:
Tue Dec 13 21:37:52 2011  1 relations: 504298
Tue Dec 13 21:37:52 2011  2 relations: 636713
Tue Dec 13 21:37:52 2011  3 relations: 698069
Tue Dec 13 21:37:52 2011  4 relations: 683235
Tue Dec 13 21:37:52 2011  5 relations: 658665
Tue Dec 13 21:37:52 2011  6 relations: 602260
Tue Dec 13 21:37:52 2011  7 relations: 537367
Tue Dec 13 21:37:52 2011  8 relations: 465253
Tue Dec 13 21:37:52 2011  9 relations: 396310
Tue Dec 13 21:37:52 2011  10+ relations: 1487735
Tue Dec 13 21:37:52 2011  heaviest cycle: 25 relations
Tue Dec 13 21:37:55 2011  commencing cycle optimization
Tue Dec 13 21:38:13 2011  start with 43760349 relations
Tue Dec 13 21:40:17 2011  pruned 1604684 relations
Tue Dec 13 21:40:18 2011  memory use: 1267.6 MB
Tue Dec 13 21:40:18 2011  distribution of cycle lengths:
Tue Dec 13 21:40:18 2011  1 relations: 504298
Tue Dec 13 21:40:18 2011  2 relations: 651686
Tue Dec 13 21:40:18 2011  3 relations: 726090
Tue Dec 13 21:40:18 2011  4 relations: 708704
Tue Dec 13 21:40:18 2011  5 relations: 686733
Tue Dec 13 21:40:18 2011  6 relations: 623267
Tue Dec 13 21:40:18 2011  7 relations: 554164
Tue Dec 13 21:40:18 2011  8 relations: 473805
Tue Dec 13 21:40:18 2011  9 relations: 398676
Tue Dec 13 21:40:18 2011  10+ relations: 1342482
Tue Dec 13 21:40:18 2011  heaviest cycle: 25 relations
Tue Dec 13 21:40:39 2011  RelProcTime: 3718
Tue Dec 13 21:40:39 2011  
Tue Dec 13 21:40:39 2011  commencing linear algebra
Tue Dec 13 21:40:40 2011  read 6669905 cycles
Tue Dec 13 21:40:56 2011  cycles contain 19350113 unique relations
Tue Dec 13 21:44:42 2011  read 19350113 relations
Tue Dec 13 21:45:35 2011  using 20 quadratic characters above 1073741442
Tue Dec 13 21:47:06 2011  building initial matrix
Tue Dec 13 21:52:28 2011  memory use: 2507.4 MB
Tue Dec 13 21:53:08 2011  read 6669905 cycles
Tue Dec 13 21:53:09 2011  matrix is 6669728 x 6669905 (2311.1 MB) with weight 674338573 (101.10/col)
Tue Dec 13 21:53:09 2011  sparse part has weight 539153459 (80.83/col)
Tue Dec 13 21:54:59 2011  filtering completed in 2 passes
Tue Dec 13 21:55:01 2011  matrix is 6669077 x 6669254 (2311.1 MB) with weight 674317931 (101.11/col)
Tue Dec 13 21:55:01 2011  sparse part has weight 539146116 (80.84/col)
Tue Dec 13 21:56:29 2011  matrix starts at (0, 0)
Tue Dec 13 21:56:30 2011  matrix is 6669077 x 6669254 (2311.1 MB) with weight 674317931 (101.11/col)
Tue Dec 13 21:56:30 2011  sparse part has weight 539146116 (80.84/col)
Tue Dec 13 21:56:30 2011  saving the first 48 matrix rows for later
Tue Dec 13 21:56:31 2011  matrix includes 64 packed rows
Tue Dec 13 21:56:32 2011  matrix is 6669029 x 6669254 (2226.4 MB) with weight 554217837 (83.10/col)
Tue Dec 13 21:56:32 2011  sparse part has weight 516957009 (77.51/col)
Tue Dec 13 21:56:32 2011  using block size 65536 for processor cache size 3072 kB
Tue Dec 13 21:56:57 2011  commencing Lanczos iteration (2 threads)
Tue Dec 13 21:56:57 2011  memory use: 1897.3 MB
Tue Dec 13 21:58:41 2011  linear algebra at 0.0%, ETA 122h 5m
Tue Dec 13 21:59:15 2011  checkpointing every 60000 dimensions
Wed Dec 14 08:47:32 2011  lanczos halted after 9546 iterations (dim = 603656)
Wed Dec 14 08:47:33 2011  BLanczosTime: 40014
Wed Dec 14 08:47:33 2011  
Wed Dec 14 08:47:33 2011  commencing square root phase
Wed Dec 14 08:47:33 2011  reading relations for dependency 1
Wed Dec 14 08:47:33 2011  error: read_cycles can't open dependency file
Wed Dec 14 17:37:25 2011  
Wed Dec 14 17:37:25 2011  
Wed Dec 14 17:37:25 2011  Msieve v. 1.50 (SVN 688M)
Wed Dec 14 17:37:25 2011  random seeds: e9fd0dcb 8267d25a
Wed Dec 14 17:37:25 2011  factoring 9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 (226 digits)
Wed Dec 14 17:37:27 2011  searching for 15-digit factors
Wed Dec 14 17:37:27 2011  commencing number field sieve (226-digit input)
Wed Dec 14 17:37:27 2011  R0: -10000000000000000000000000000000000000
Wed Dec 14 17:37:27 2011  R1: 1
Wed Dec 14 17:37:27 2011  A0: 1
Wed Dec 14 17:37:27 2011  A1: 0
Wed Dec 14 17:37:27 2011  A2: 0
Wed Dec 14 17:37:27 2011  A3: 0
Wed Dec 14 17:37:27 2011  A4: 0
Wed Dec 14 17:37:27 2011  A5: 0
Wed Dec 14 17:37:27 2011  A6: 9000
Wed Dec 14 17:37:27 2011  skew 0.22, size 2.067e-11, alpha 0.996, combined = 1.105e-12 rroots = 0
Wed Dec 14 17:37:27 2011  
Wed Dec 14 17:37:27 2011  commencing linear algebra
Wed Dec 14 17:41:03 2011  
Wed Dec 14 17:41:03 2011  
Wed Dec 14 17:41:03 2011  Msieve v. 1.50 (SVN 688M)
Wed Dec 14 17:41:03 2011  random seeds: 1b4fd7f8 8ea075cc
Wed Dec 14 17:41:03 2011  factoring 9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 (226 digits)
Wed Dec 14 17:41:04 2011  searching for 15-digit factors
Wed Dec 14 17:41:05 2011  commencing number field sieve (226-digit input)
Wed Dec 14 17:41:05 2011  R0: -10000000000000000000000000000000000000
Wed Dec 14 17:41:05 2011  R1: 1
Wed Dec 14 17:41:05 2011  A0: 1
Wed Dec 14 17:41:05 2011  A1: 0
Wed Dec 14 17:41:05 2011  A2: 0
Wed Dec 14 17:41:05 2011  A3: 0
Wed Dec 14 17:41:05 2011  A4: 0
Wed Dec 14 17:41:05 2011  A5: 0
Wed Dec 14 17:41:05 2011  A6: 9000
Wed Dec 14 17:41:05 2011  skew 0.22, size 2.067e-11, alpha 0.996, combined = 1.105e-12 rroots = 0
Wed Dec 14 17:41:05 2011  
Wed Dec 14 17:41:05 2011  commencing linear algebra
Wed Dec 14 17:41:41 2011  matrix starts at (0, 0)
Wed Dec 14 17:41:42 2011  matrix is 6669077 x 6669254 (2311.1 MB) with weight 674317931 (101.11/col)
Wed Dec 14 17:41:42 2011  sparse part has weight 539146116 (80.84/col)
Wed Dec 14 17:41:42 2011  saving the first 48 matrix rows for later
Wed Dec 14 17:41:44 2011  matrix includes 64 packed rows
Wed Dec 14 17:41:45 2011  matrix is 6669029 x 6669254 (2226.4 MB) with weight 554217837 (83.10/col)
Wed Dec 14 17:41:45 2011  sparse part has weight 516957009 (77.51/col)
Wed Dec 14 17:41:45 2011  using block size 65536 for processor cache size 3072 kB
Wed Dec 14 17:42:10 2011  commencing Lanczos iteration (2 threads)
Wed Dec 14 17:42:10 2011  memory use: 1897.3 MB
Wed Dec 14 17:42:15 2011  restarting at iteration 9546 (dim = 603656)
Wed Dec 14 17:42:42 2011  checkpointing every 60000 dimensions
Wed Dec 14 17:44:03 2011  linear algebra at 9.1%, ETA 120h28m
Thu Dec 15 08:56:16 2011  lanczos halted after 21981 iterations (dim = 1389858)
Thu Dec 15 08:56:17 2011  BLanczosTime: 54912
Thu Dec 15 08:56:17 2011  elapsed time 15:15:14
Thu Dec 15 17:45:32 2011  
Thu Dec 15 17:45:32 2011  
Thu Dec 15 17:45:32 2011  Msieve v. 1.50 (SVN 688M)
Thu Dec 15 17:45:32 2011  random seeds: e365b5f8 57d4eefb
Thu Dec 15 17:45:32 2011  factoring 9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 (226 digits)
Thu Dec 15 17:45:34 2011  searching for 15-digit factors
Thu Dec 15 17:45:34 2011  commencing number field sieve (226-digit input)
Thu Dec 15 17:45:34 2011  R0: -10000000000000000000000000000000000000
Thu Dec 15 17:45:34 2011  R1: 1
Thu Dec 15 17:45:34 2011  A0: 1
Thu Dec 15 17:45:34 2011  A1: 0
Thu Dec 15 17:45:34 2011  A2: 0
Thu Dec 15 17:45:34 2011  A3: 0
Thu Dec 15 17:45:34 2011  A4: 0
Thu Dec 15 17:45:34 2011  A5: 0
Thu Dec 15 17:45:34 2011  A6: 9000
Thu Dec 15 17:45:34 2011  skew 0.22, size 2.067e-11, alpha 0.996, combined = 1.105e-12 rroots = 0
Thu Dec 15 17:45:34 2011  
Thu Dec 15 17:45:34 2011  commencing linear algebra
Thu Dec 15 17:46:14 2011  matrix starts at (0, 0)
Thu Dec 15 17:46:15 2011  matrix is 6669077 x 6669254 (2311.1 MB) with weight 674317931 (101.11/col)
Thu Dec 15 17:46:15 2011  sparse part has weight 539146116 (80.84/col)
Thu Dec 15 17:46:15 2011  saving the first 48 matrix rows for later
Thu Dec 15 17:46:17 2011  matrix includes 64 packed rows
Thu Dec 15 17:46:18 2011  matrix is 6669029 x 6669254 (2226.4 MB) with weight 554217837 (83.10/col)
Thu Dec 15 17:46:18 2011  sparse part has weight 516957009 (77.51/col)
Thu Dec 15 17:46:18 2011  using block size 65536 for processor cache size 3072 kB
Thu Dec 15 17:46:42 2011  commencing Lanczos iteration (2 threads)
Thu Dec 15 17:46:42 2011  memory use: 1897.3 MB
Thu Dec 15 17:46:47 2011  restarting at iteration 21981 (dim = 1389858)
Thu Dec 15 17:47:01 2011  checkpointing every 50000 dimensions
Thu Dec 15 17:48:36 2011  linear algebra at 20.9%, ETA 105h12m
Fri Dec 16 08:34:55 2011  lanczos halted after 34960 iterations (dim = 2210725)
Fri Dec 16 08:34:56 2011  BLanczosTime: 53362
Fri Dec 16 08:34:56 2011  elapsed time 14:49:24
Fri Dec 16 16:47:40 2011  
Fri Dec 16 16:47:40 2011  
Fri Dec 16 16:47:40 2011  Msieve v. 1.50 (SVN 688M)
Fri Dec 16 16:47:40 2011  random seeds: c4c0c6e9 4c7f29f5
Fri Dec 16 16:47:40 2011  factoring 9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 (226 digits)
Fri Dec 16 16:47:42 2011  searching for 15-digit factors
Fri Dec 16 16:47:42 2011  commencing number field sieve (226-digit input)
Fri Dec 16 16:47:42 2011  R0: -10000000000000000000000000000000000000
Fri Dec 16 16:47:42 2011  R1: 1
Fri Dec 16 16:47:42 2011  A0: 1
Fri Dec 16 16:47:42 2011  A1: 0
Fri Dec 16 16:47:42 2011  A2: 0
Fri Dec 16 16:47:42 2011  A3: 0
Fri Dec 16 16:47:42 2011  A4: 0
Fri Dec 16 16:47:42 2011  A5: 0
Fri Dec 16 16:47:42 2011  A6: 9000
Fri Dec 16 16:47:42 2011  skew 0.22, size 2.067e-11, alpha 0.996, combined = 1.105e-12 rroots = 0
Fri Dec 16 16:47:42 2011  
Fri Dec 16 16:47:42 2011  commencing linear algebra
Fri Dec 16 16:48:19 2011  matrix starts at (0, 0)
Fri Dec 16 16:48:20 2011  matrix is 6669077 x 6669254 (2311.1 MB) with weight 674317931 (101.11/col)
Fri Dec 16 16:48:20 2011  sparse part has weight 539146116 (80.84/col)
Fri Dec 16 16:48:20 2011  saving the first 48 matrix rows for later
Fri Dec 16 16:48:21 2011  matrix includes 64 packed rows
Fri Dec 16 16:48:22 2011  matrix is 6669029 x 6669254 (2226.4 MB) with weight 554217837 (83.10/col)
Fri Dec 16 16:48:22 2011  sparse part has weight 516957009 (77.51/col)
Fri Dec 16 16:48:22 2011  using block size 65536 for processor cache size 3072 kB
Fri Dec 16 16:48:47 2011  commencing Lanczos iteration (2 threads)
Fri Dec 16 16:48:47 2011  memory use: 1897.3 MB
Fri Dec 16 16:48:51 2011  restarting at iteration 34960 (dim = 2210725)
Fri Dec 16 16:50:19 2011  checkpointing every 60000 dimensions
Fri Dec 16 16:50:32 2011  linear algebra at 33.2%, ETA 82h19m
Fri Dec 16 17:41:02 2011  lanczos halted after 35723 iterations (dim = 2258980)
Fri Dec 16 17:41:03 2011  BLanczosTime: 3201
Fri Dec 16 17:41:03 2011  elapsed time 00:53:23
Fri Dec 16 21:31:58 2011  
Fri Dec 16 21:31:58 2011  
Fri Dec 16 21:31:58 2011  Msieve v. 1.50 (SVN 688M)
Fri Dec 16 21:31:58 2011  random seeds: b6aee416 70d75768
Fri Dec 16 21:31:58 2011  factoring 9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 (226 digits)
Fri Dec 16 21:32:00 2011  searching for 15-digit factors
Fri Dec 16 21:32:00 2011  commencing number field sieve (226-digit input)
Fri Dec 16 21:32:00 2011  R0: -10000000000000000000000000000000000000
Fri Dec 16 21:32:00 2011  R1: 1
Fri Dec 16 21:32:00 2011  A0: 1
Fri Dec 16 21:32:00 2011  A1: 0
Fri Dec 16 21:32:00 2011  A2: 0
Fri Dec 16 21:32:00 2011  A3: 0
Fri Dec 16 21:32:00 2011  A4: 0
Fri Dec 16 21:32:00 2011  A5: 0
Fri Dec 16 21:32:00 2011  A6: 9000
Fri Dec 16 21:32:00 2011  skew 0.22, size 2.067e-11, alpha 0.996, combined = 1.105e-12 rroots = 0
Fri Dec 16 21:32:00 2011  
Fri Dec 16 21:32:00 2011  commencing linear algebra
Fri Dec 16 21:32:36 2011  matrix starts at (0, 0)
Fri Dec 16 21:32:37 2011  matrix is 6669077 x 6669254 (2311.1 MB) with weight 674317931 (101.11/col)
Fri Dec 16 21:32:37 2011  sparse part has weight 539146116 (80.84/col)
Fri Dec 16 21:32:37 2011  saving the first 48 matrix rows for later
Fri Dec 16 21:32:38 2011  matrix includes 64 packed rows
Fri Dec 16 21:32:39 2011  matrix is 6669029 x 6669254 (2226.4 MB) with weight 554217837 (83.10/col)
Fri Dec 16 21:32:39 2011  sparse part has weight 516957009 (77.51/col)
Fri Dec 16 21:32:39 2011  using block size 65536 for processor cache size 3072 kB
Fri Dec 16 21:33:04 2011  commencing Lanczos iteration (2 threads)
Fri Dec 16 21:33:04 2011  memory use: 1897.3 MB
Fri Dec 16 21:33:08 2011  restarting at iteration 35723 (dim = 2258980)
Fri Dec 16 21:34:18 2011  checkpointing every 60000 dimensions
Fri Dec 16 21:34:48 2011  linear algebra at 33.9%, ETA 80h34m
Sat Dec 17 09:43:57 2011  lanczos halted after 46573 iterations (dim = 2945168)
Sat Dec 17 09:43:57 2011  BLanczosTime: 43917
Sat Dec 17 09:43:57 2011  elapsed time 12:11:59
Sat Dec 17 09:54:38 2011  
Sat Dec 17 09:54:38 2011  
Sat Dec 17 09:54:38 2011  Msieve v. 1.50 (SVN 688M)
Sat Dec 17 09:54:38 2011  random seeds: 170c9eee 20f723a4
Sat Dec 17 09:54:38 2011  factoring 9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 (226 digits)
Sat Dec 17 09:54:40 2011  searching for 15-digit factors
Sat Dec 17 09:54:41 2011  commencing number field sieve (226-digit input)
Sat Dec 17 09:54:41 2011  R0: -10000000000000000000000000000000000000
Sat Dec 17 09:54:41 2011  R1: 1
Sat Dec 17 09:54:41 2011  A0: 1
Sat Dec 17 09:54:41 2011  A1: 0
Sat Dec 17 09:54:41 2011  A2: 0
Sat Dec 17 09:54:41 2011  A3: 0
Sat Dec 17 09:54:41 2011  A4: 0
Sat Dec 17 09:54:41 2011  A5: 0
Sat Dec 17 09:54:41 2011  A6: 9000
Sat Dec 17 09:54:41 2011  skew 0.22, size 2.067e-11, alpha 0.996, combined = 1.105e-12 rroots = 0
Sat Dec 17 09:54:41 2011  
Sat Dec 17 09:54:41 2011  commencing linear algebra
Sat Dec 17 09:55:36 2011  matrix starts at (0, 0)
Sat Dec 17 09:55:38 2011  matrix is 6669077 x 6669254 (2311.1 MB) with weight 674317931 (101.11/col)
Sat Dec 17 09:55:38 2011  sparse part has weight 539146116 (80.84/col)
Sat Dec 17 09:55:38 2011  saving the first 48 matrix rows for later
Sat Dec 17 09:55:39 2011  matrix includes 64 packed rows
Sat Dec 17 09:55:41 2011  matrix is 6669029 x 6669254 (2226.4 MB) with weight 554217837 (83.10/col)
Sat Dec 17 09:55:41 2011  sparse part has weight 516957009 (77.51/col)
Sat Dec 17 09:55:41 2011  using block size 65536 for processor cache size 3072 kB
Sat Dec 17 09:56:09 2011  commencing Lanczos iteration (2 threads)
Sat Dec 17 09:56:09 2011  memory use: 1897.3 MB
Sat Dec 17 09:56:10 2011  restarting at iteration 46573 (dim = 2945168)
Sat Dec 17 09:57:19 2011  checkpointing every 50000 dimensions
Sat Dec 17 09:58:09 2011  linear algebra at 44.2%, ETA 81h23m
Mon Dec 19 09:10:30 2011  lanczos halted after 86398 iterations (dim = 5463474)
Mon Dec 19 09:10:30 2011  BLanczosTime: 170149
Mon Dec 19 09:10:30 2011  elapsed time 47:15:52
Mon Dec 19 17:37:21 2011  
Mon Dec 19 17:37:21 2011  
Mon Dec 19 17:37:21 2011  Msieve v. 1.50 (SVN 688M)
Mon Dec 19 17:37:21 2011  random seeds: 1bf79aa0 daa542d4
Mon Dec 19 17:37:21 2011  factoring 9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 (226 digits)
Mon Dec 19 17:37:23 2011  searching for 15-digit factors
Mon Dec 19 17:37:23 2011  commencing number field sieve (226-digit input)
Mon Dec 19 17:37:23 2011  R0: -10000000000000000000000000000000000000
Mon Dec 19 17:37:23 2011  R1: 1
Mon Dec 19 17:37:23 2011  A0: 1
Mon Dec 19 17:37:23 2011  A1: 0
Mon Dec 19 17:37:23 2011  A2: 0
Mon Dec 19 17:37:23 2011  A3: 0
Mon Dec 19 17:37:23 2011  A4: 0
Mon Dec 19 17:37:23 2011  A5: 0
Mon Dec 19 17:37:23 2011  A6: 9000
Mon Dec 19 17:37:23 2011  skew 0.22, size 2.067e-11, alpha 0.996, combined = 1.105e-12 rroots = 0
Mon Dec 19 17:37:23 2011  
Mon Dec 19 17:37:23 2011  commencing linear algebra
Mon Dec 19 17:37:59 2011  matrix starts at (0, 0)
Mon Dec 19 17:38:00 2011  matrix is 6669077 x 6669254 (2311.1 MB) with weight 674317931 (101.11/col)
Mon Dec 19 17:38:00 2011  sparse part has weight 539146116 (80.84/col)
Mon Dec 19 17:38:00 2011  saving the first 48 matrix rows for later
Mon Dec 19 17:38:01 2011  matrix includes 64 packed rows
Mon Dec 19 17:38:02 2011  matrix is 6669029 x 6669254 (2226.4 MB) with weight 554217837 (83.10/col)
Mon Dec 19 17:38:02 2011  sparse part has weight 516957009 (77.51/col)
Mon Dec 19 17:38:02 2011  using block size 65536 for processor cache size 3072 kB
Mon Dec 19 17:38:27 2011  commencing Lanczos iteration (2 threads)
Mon Dec 19 17:38:27 2011  memory use: 1897.3 MB
Mon Dec 19 17:38:31 2011  restarting at iteration 86398 (dim = 5463474)
Mon Dec 19 17:39:10 2011  checkpointing every 60000 dimensions
Mon Dec 19 17:40:13 2011  linear algebra at 81.9%, ETA 22h28m
Tue Dec 20 16:43:07 2011  lanczos halted after 105466 iterations (dim = 6669029)
Tue Dec 20 16:43:49 2011  recovered 40 nontrivial dependencies
Tue Dec 20 16:43:49 2011  BLanczosTime: 83186
Tue Dec 20 16:43:49 2011  elapsed time 23:06:28
Tue Dec 20 16:45:17 2011  
Tue Dec 20 16:45:17 2011  
Tue Dec 20 16:45:17 2011  Msieve v. 1.50 (SVN 688M)
Tue Dec 20 16:45:17 2011  random seeds: 960ec363 5f9d47f0
Tue Dec 20 16:45:17 2011  factoring 9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 (226 digits)
Tue Dec 20 16:45:18 2011  searching for 15-digit factors
Tue Dec 20 16:45:19 2011  commencing number field sieve (226-digit input)
Tue Dec 20 16:45:19 2011  R0: -10000000000000000000000000000000000000
Tue Dec 20 16:45:19 2011  R1: 1
Tue Dec 20 16:45:19 2011  A0: 1
Tue Dec 20 16:45:19 2011  A1: 0
Tue Dec 20 16:45:19 2011  A2: 0
Tue Dec 20 16:45:19 2011  A3: 0
Tue Dec 20 16:45:19 2011  A4: 0
Tue Dec 20 16:45:19 2011  A5: 0
Tue Dec 20 16:45:19 2011  A6: 9000
Tue Dec 20 16:45:19 2011  skew 0.22, size 2.067e-11, alpha 0.996, combined = 1.105e-12 rroots = 0
Tue Dec 20 16:45:19 2011  
Tue Dec 20 16:45:19 2011  commencing square root phase
Tue Dec 20 16:45:19 2011  reading relations for dependency 1
Tue Dec 20 16:45:22 2011  read 3335905 cycles
Tue Dec 20 16:45:30 2011  cycles contain 9676408 unique relations
Tue Dec 20 16:48:34 2011  read 9676408 relations
Tue Dec 20 16:49:52 2011  multiplying 9676408 relations
Tue Dec 20 17:03:33 2011  multiply complete, coefficients have about 354.45 million bits
Tue Dec 20 17:03:36 2011  initial square root is modulo 2290537
Tue Dec 20 17:21:17 2011  found factor: 90022847726048101649529513026031808920766061566345195734033515858979950502970757919430285693
Tue Dec 20 17:21:17 2011  reading relations for dependency 2
Tue Dec 20 17:21:21 2011  read 3333133 cycles
Tue Dec 20 17:21:28 2011  cycles contain 9673850 unique relations
Tue Dec 20 17:24:33 2011  read 9673850 relations
Tue Dec 20 17:25:49 2011  multiplying 9673850 relations
Tue Dec 20 18:37:35 2011  multiply complete, coefficients have about 354.36 million bits
Tue Dec 20 18:37:37 2011  initial square root is modulo 2282431
Tue Dec 20 18:55:11 2011  GCD is 1, no factor found
Tue Dec 20 18:55:11 2011  reading relations for dependency 3
Tue Dec 20 18:55:15 2011  read 3333584 cycles
Tue Dec 20 18:55:22 2011  cycles contain 9675856 unique relations
Tue Dec 20 18:58:26 2011  read 9675856 relations
Tue Dec 20 18:59:42 2011  multiplying 9675856 relations
Tue Dec 20 19:13:19 2011  multiply complete, coefficients have about 354.43 million bits
Tue Dec 20 19:13:21 2011  initial square root is modulo 2289667
Tue Dec 20 19:30:54 2011  sqrtTime: 9935
Tue Dec 20 19:30:54 2011  prp56 factor: 55860891436501654543388235514847701877446244157135259823
Tue Dec 20 19:30:54 2011  prp79 factor: 1789706850532559048876839886939939713204869553571156217335388536575634330448059
Tue Dec 20 19:30:54 2011  prp92 factor: 90022847726048101649529513026031808920766061566345195734033515858979950502970757919430285693
Tue Dec 20 19:30:54 2011  elapsed time 02:45:37
software ソフトウェア
ggnfs-lasieve4I14e on the RSALS grid + msieve SVN r688

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 17, 2010 04:00:00 UTC 2010 年 11 月 17 日 (水) 13 時 0 分 0 秒 (日本時間)
403e60--
4511e60--
5043e61241800Dmitry DomanovNovember 21, 2010 14:29:27 UTC 2010 年 11 月 21 日 (日) 23 時 29 分 27 秒 (日本時間)
400Dmitry DomanovNovember 24, 2010 07:11:24 UTC 2010 年 11 月 24 日 (水) 16 時 11 分 24 秒 (日本時間)
411/9June 28, 2011 14:26:57 UTC 2011 年 6 月 28 日 (火) 23 時 26 分 57 秒 (日本時間)
5511e72681 / 1732436Dmitry DomanovNovember 24, 2010 07:11:24 UTC 2010 年 11 月 24 日 (水) 16 時 11 分 24 秒 (日本時間)
2645yoyo@homeJuly 31, 2011 06:00:27 UTC 2011 年 7 月 31 日 (日) 15 時 0 分 27 秒 (日本時間)
6026e71 / 40859Dmitry DomanovNovember 24, 2010 07:13:11 UTC 2010 年 11 月 24 日 (水) 16 時 13 分 11 秒 (日本時間)

9×10227+1

c196

name 名前Serge Batalov
date 日付November 17, 2010 17:15:41 UTC 2010 年 11 月 18 日 (木) 2 時 15 分 41 秒 (日本時間)
composite number 合成数
3477004401699276388019173428710561960517095792471891148781675722054842601997057468633275740313621326966516868592543571251938251578249770879987463641120735242519905541961212177387096620223476291237<196>
prime factors 素因数
1068053861509502411968825115333<31>
3255457919308633748825904657660218709563909818463777890381643600209147851220478141993481192532118426900202337511391862899361119527597884266424556439609592578466120289<166>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=2118364013
Step 1 took 7013ms
Step 2 took 640ms
********** Factor found in step 2: 1068053861509502411968825115333
Found probable prime factor of 31 digits: 1068053861509502411968825115333
Probable prime cofactor 3255457919308633748825904657660218709563909818463777890381643600209147851220478141993481192532118426900202337511391862899361119527597884266424556439609592578466120289 has 166 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 17, 2010 04:00:00 UTC 2010 年 11 月 17 日 (水) 13 時 0 分 0 秒 (日本時間)

9×10228+1

c155

name 名前Wataru Sakai
date 日付December 6, 2010 01:38:08 UTC 2010 年 12 月 6 日 (月) 10 時 38 分 8 秒 (日本時間)
composite number 合成数
50599900287702964793098661680647569810895900518618609069516918790214485382433614852986232042350820339238914929788025123580687685942630921391387049859230777<155>
prime factors 素因数
131300091395089345276245471745601519582213<42>
242888590509844146230181214782147550186096609<45>
1586636781720114949261885059114082303248222518475110639122681826458181<70>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2223484052
Step 1 took 61257ms
Step 2 took 21099ms
********** Factor found in step 2: 131300091395089345276245471745601519582213
Found probable prime factor of 42 digits: 131300091395089345276245471745601519582213
Composite cofactor 385375971563073970017635201912918357192281520903657124753539540983658123254197712742705103646079269496343964408229 has 114 digits
--------------------

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3959951882
Step 1 took 35396ms
Step 2 took 15081ms
********** Factor found in step 2: 242888590509844146230181214782147550186096609
Found probable prime factor of 45 digits: 242888590509844146230181214782147550186096609
Probable prime cofactor 1586636781720114949261885059114082303248222518475110639122681826458181 has 70 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 17, 2010 04:00:00 UTC 2010 年 11 月 17 日 (水) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 18, 2010 19:06:45 UTC 2010 年 11 月 19 日 (金) 4 時 6 分 45 秒 (日本時間)
403e6110Ignacio SantosNovember 18, 2010 19:06:45 UTC 2010 年 11 月 19 日 (金) 4 時 6 分 45 秒 (日本時間)
4511e6632 / 443732Ignacio SantosNovember 18, 2010 19:06:45 UTC 2010 年 11 月 19 日 (金) 4 時 6 分 45 秒 (日本時間)
600Dmitry DomanovNovember 20, 2010 10:28:07 UTC 2010 年 11 月 20 日 (土) 19 時 28 分 7 秒 (日本時間)

9×10229+1

c194

name 名前Dmitry Domanov
date 日付March 10, 2011 09:08:42 UTC 2011 年 3 月 10 日 (木) 18 時 8 分 42 秒 (日本時間)
composite number 合成数
25735543850644052904374354499878659954219175930083552640012371782340265952442588574983129126316700897691650400548175178414673698040110286824605105986373792209680444312655985137259385056151722087<194>
prime factors 素因数
3308412581144796603307781214852569<34>
7778819364100860394687199169295222550650599779047571129547538201303885407046441934892893197065971519835864925767609335240534450917225097885241985475763156777023<160>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1303105766
Step 1 took 86916ms
Step 2 took 33542ms
********** Factor found in step 2: 3308412581144796603307781214852569
Found probable prime factor of 34 digits: 3308412581144796603307781214852569
Probable prime cofactor 7778819364100860394687199169295222550650599779047571129547538201303885407046441934892893197065971519835864925767609335240534450917225097885241985475763156777023 has 160 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 17, 2010 04:00:00 UTC 2010 年 11 月 17 日 (水) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMarch 10, 2011 06:46:49 UTC 2011 年 3 月 10 日 (木) 15 時 46 分 49 秒 (日本時間)

9×10232+1

c205

composite cofactor 合成数の残り
4344111347704407624901982346288192446623683204804891385449676212414006663078402176667136512311387909946424950513536343564694121379737510967742921399660150194090013953484458395242229635110558821463928635217<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 17, 2010 04:00:00 UTC 2010 年 11 月 17 日 (水) 13 時 0 分 0 秒 (日本時間)
403e61900300Dmitry DomanovMarch 10, 2011 06:47:11 UTC 2011 年 3 月 10 日 (木) 15 時 47 分 11 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:47 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 47 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:14 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 14 秒 (日本時間)
4511e6122 / 4055CypFebruary 6, 2015 12:15:59 UTC 2015 年 2 月 6 日 (金) 21 時 15 分 59 秒 (日本時間)

9×10233+1

c217

composite cofactor 合成数の残り
7376116531685351268465678061908039009930580700472006605850433057868049504418286604713971413888845411160720097259580610507067061854420250874249834348314800035514649268805910580736375955610667536700725186603225601010361<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 17, 2010 04:00:00 UTC 2010 年 11 月 17 日 (水) 13 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovMarch 10, 2011 06:47:31 UTC 2011 年 3 月 10 日 (木) 15 時 47 分 31 秒 (日本時間)
4511e6900 / 4409600Dmitry DomanovAugust 26, 2011 20:39:40 UTC 2011 年 8 月 27 日 (土) 5 時 39 分 40 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:37:10 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 10 秒 (日本時間)

9×10234+1

c196

composite cofactor 合成数の残り
7554558954988758543795081184462770575986130942214738543778201969338424842917713837444560004338058106696080857691902120533079985346856769694190173038958008888299231814148593357129141967541138256037<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 17, 2010 04:00:00 UTC 2010 年 11 月 17 日 (水) 13 時 0 分 0 秒 (日本時間)
403e61900300Dmitry DomanovMarch 10, 2011 06:47:51 UTC 2011 年 3 月 10 日 (木) 15 時 47 分 51 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:09:47 UTC 2014 年 1 月 9 日 (木) 14 時 9 分 47 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:08:15 UTC 2014 年 5 月 27 日 (火) 3 時 8 分 15 秒 (日本時間)
4511e60 / 3687--
5043e6105 / 7481CypFebruary 14, 2014 05:54:04 UTC 2014 年 2 月 14 日 (金) 14 時 54 分 4 秒 (日本時間)

9×10235+1

c233

composite cofactor 合成数の残り
43000477783086478738652651696129956999522216913521261347348303870043000477783086478738652651696129956999522216913521261347348303870043000477783086478738652651696129956999522216913521261347348303870043000477783086478738652651696129957<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 17, 2010 04:00:00 UTC 2010 年 11 月 17 日 (水) 13 時 0 分 0 秒 (日本時間)
403e60--
4511e6750Dmitry DomanovNovember 22, 2010 17:52:16 UTC 2010 年 11 月 23 日 (火) 2 時 52 分 16 秒 (日本時間)
5043e6800Dmitry DomanovApril 26, 2011 23:24:53 UTC 2011 年 4 月 27 日 (水) 8 時 24 分 53 秒 (日本時間)
5511e72810 / 17402100Dmitry DomanovApril 28, 2011 13:48:26 UTC 2011 年 4 月 28 日 (木) 22 時 48 分 26 秒 (日本時間)
2710yoyo@homeJuly 31, 2011 10:00:35 UTC 2011 年 7 月 31 日 (日) 19 時 0 分 35 秒 (日本時間)
6026e715 / 40850Dmitry DomanovApril 28, 2011 13:49:34 UTC 2011 年 4 月 28 日 (木) 22 時 49 分 34 秒 (日本時間)

9×10237+1

c185

composite cofactor 合成数の残り
57422718662799277673586953395250157302798026419786763399750906944578562981500318240694187262640120066899105852300000177573957661068512882740076830268792499637043109329482676936648771219<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 17, 2010 04:00:00 UTC 2010 年 11 月 17 日 (水) 13 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovMarch 10, 2011 06:48:16 UTC 2011 年 3 月 10 日 (木) 15 時 48 分 16 秒 (日本時間)
4511e6900 / 4409600Dmitry DomanovOctober 23, 2011 07:27:12 UTC 2011 年 10 月 23 日 (日) 16 時 27 分 12 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:37:11 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 11 秒 (日本時間)

9×10238+1

c186

composite cofactor 合成数の残り
391026196574410488750839046130737980886926491663996260136019279711642368674918404246786327687289220814489786048702693057246459616765489416113843257078599257625228973229328619361852365709<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 17, 2010 04:00:00 UTC 2010 年 11 月 17 日 (水) 13 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovMarch 10, 2011 06:48:33 UTC 2011 年 3 月 10 日 (木) 15 時 48 分 33 秒 (日本時間)
4511e6900 / 4409600Dmitry DomanovSeptember 8, 2011 05:56:59 UTC 2011 年 9 月 8 日 (木) 14 時 56 分 59 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:37:11 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 11 秒 (日本時間)

9×10239+1

c183

name 名前Serge Batalov
date 日付November 17, 2010 17:16:12 UTC 2010 年 11 月 18 日 (木) 2 時 16 分 12 秒 (日本時間)
composite number 合成数
200083346522932046522560147263804820577592143188227592050096428098574343255774299192198479783031921030343149925127693728272855971658341105977112874702498840514462257807064136556406727<183>
prime factors 素因数
358775157105879353084797074490157<33>
composite cofactor 合成数の残り
557684506744943802569338285498809165724799496884789187123470599186087346426727777091220710877758361145559133990874967723003738535962381728921625395011<150>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1329695719
Step 1 took 6048ms
Step 2 took 2993ms
********** Factor found in step 2: 358775157105879353084797074490157
Found probable prime factor of 33 digits: 358775157105879353084797074490157
Composite cofactor 557684506744943802569338285498809165724799496884789187123470599186087346426727777091220710877758361145559133990874967723003738535962381728921625395011 has 150 digits

c150

name 名前Ignacio Santos
date 日付November 18, 2010 17:49:33 UTC 2010 年 11 月 19 日 (金) 2 時 49 分 33 秒 (日本時間)
composite number 合成数
557684506744943802569338285498809165724799496884789187123470599186087346426727777091220710877758361145559133990874967723003738535962381728921625395011<150>
prime factors 素因数
23774197618897112647796310723148961<35>
23457553255200662430101545373384353276971696952105087373108934764457068705985141868197925585129911695181724703518051<116>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2373952162
Step 1 took 6989ms
Step 2 took 5336ms
********** Factor found in step 2: 23774197618897112647796310723148961
Found probable prime factor of 35 digits: 23774197618897112647796310723148961
Probable prime cofactor 23457553255200662430101545373384353276971696952105087373108934764457068705985141868197925585129911695181724703518051 has 116 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 17, 2010 04:00:00 UTC 2010 年 11 月 17 日 (水) 13 時 0 分 0 秒 (日本時間)

9×10241+1

c240

name 名前matsui
date 日付March 3, 2016 11:36:23 UTC 2016 年 3 月 3 日 (木) 20 時 36 分 23 秒 (日本時間)
composite number 合成数
989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989011<240>
prime factors 素因数
1007785483937033106865729083369763828637884359552927906722937480523889481626091761179<85>
981370544401275445621964695424872502587654717957112518160246580464897670480694215257878935926885484361084996022634988941120073037367539383644380377686589609<156>
factorization results 素因数分解の結果
N=989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989011
  ( 240 digits)
SNFS difficulty: 241 digits.
Divisors found:
p85 factor: 1007785483937033106865729083369763828637884359552927906722937480523889481626091761179
p156 factor: 981370544401275445621964695424872502587654717957112518160246580464897670480694215257878935926885484361084996022634988941120073037367539383644380377686589609

Version: Msieve v. 1.53 (SVN unknown)
Total time:
Scaled time: 121.51 units (timescale=2.069).
Factorization parameters were as follows:
n: 989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989010989011
m: 10000000000000000000000000000000000000000
deg: 6
c6: 90
c0: 1
skew: 0.47
type: snfs
lss: 1
rlim: 75000000
alim: 75000000
lpbr: 30
lpba: 30
mfbr: 61
mfba: 61
rlambda: 2.7
alambda: 2.7
Factor base limits: 75000000/75000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 61/61
Sieved rational special-q in [37500000, 77200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 9538546 x 9538774
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,241.000,6,0,0,0,0,0,0,0,0,75000000,75000000,30,30,61,61,2.7,2.7,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 17, 2010 04:00:00 UTC 2010 年 11 月 17 日 (水) 13 時 0 分 0 秒 (日本時間)
403e61000Serge BatalovNovember 19, 2010 03:29:16 UTC 2010 年 11 月 19 日 (金) 12 時 29 分 16 秒 (日本時間)
4511e60--
5043e61010800Dmitry DomanovNovember 21, 2010 13:11:24 UTC 2010 年 11 月 21 日 (日) 22 時 11 分 24 秒 (日本時間)
210Dmitry DomanovApril 13, 2011 09:16:57 UTC 2011 年 4 月 13 日 (水) 18 時 16 分 57 秒 (日本時間)
5511e72810 / 17401100Dmitry DomanovMarch 18, 2011 23:33:52 UTC 2011 年 3 月 19 日 (土) 8 時 33 分 52 秒 (日本時間)
2710yoyo@homeJuly 31, 2011 12:11:36 UTC 2011 年 7 月 31 日 (日) 21 時 11 分 36 秒 (日本時間)

9×10242+1

c217

composite cofactor 合成数の残り
1782475460034129668261729724405889946928104690657579935815339084454220099421278074152443907022897368111395037348973058861389032010938682057052958471579615499578865069765824153047306259354999464084407893226070767271297<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 17, 2010 04:00:00 UTC 2010 年 11 月 17 日 (水) 13 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovMarch 10, 2011 06:49:21 UTC 2011 年 3 月 10 日 (木) 15 時 49 分 21 秒 (日本時間)
4511e6900 / 4409600Dmitry DomanovAugust 26, 2011 20:37:52 UTC 2011 年 8 月 27 日 (土) 5 時 37 分 52 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:37:12 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 12 秒 (日本時間)

9×10244+1

c208

composite cofactor 合成数の残り
3110718375415804676855678541595900083643111626969471028096297643057651765247253275749786232860974274251463310057870423456331100363646143220821889017207917003525308485621530276743320130078461344207529048749993<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 17, 2010 04:00:00 UTC 2010 年 11 月 17 日 (水) 13 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovMarch 10, 2011 06:49:43 UTC 2011 年 3 月 10 日 (木) 15 時 49 分 43 秒 (日本時間)
4511e6900 / 4409600Dmitry DomanovAugust 24, 2011 20:19:21 UTC 2011 年 8 月 25 日 (木) 5 時 19 分 21 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:37:12 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 12 秒 (日本時間)

9×10245+1

c167

name 名前Dmitry Domanov
date 日付November 30, 2010 06:55:28 UTC 2010 年 11 月 30 日 (火) 15 時 55 分 28 秒 (日本時間)
composite number 合成数
41779972874257892202953268965224770706965628925273142938501589593586808989704737278600437595757042691065408384957238537658904354512856915653758214079023619254274796081<167>
prime factors 素因数
3016799625677724273810031588043922114068771<43>
composite cofactor 合成数の残り
13849104368299574421363203278659011045822922005423525443901744973602474911932161059224577955554646849966451439858605736787611<125>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3797615030
Step 1 took 371252ms
Step 2 took 141442ms
********** Factor found in step 2: 3016799625677724273810031588043922114068771
Found probable prime factor of 43 digits: 3016799625677724273810031588043922114068771
Composite cofactor 13849104368299574421363203278659011045822922005423525443901744973602474911932161059224577955554646849966451439858605736787611 has 125 digits

c125

name 名前Markus Tervooren
date 日付December 2, 2010 10:22:32 UTC 2010 年 12 月 2 日 (木) 19 時 22 分 32 秒 (日本時間)
composite number 合成数
13849104368299574421363203278659011045822922005423525443901744973602474911932161059224577955554646849966451439858605736787611<125>
prime factors 素因数
4342441302640116208852838725871762493012452704326874655603213<61>
3189243884512520629323626480635530100849756527675698196953938247<64>
factorization results 素因数分解の結果
Msieve v. 1.48
Thu Dec  2 10:38:08 2010
random seeds: 71243f31 b10848a8
factoring 13849104368299574421363203278659011045822922005423525443901744973602474911932161059224577955554646849966451439858605736787611 (125 digits)
searching for 15-digit factors
commencing number field sieve (125-digit input)
R0: -2012015481092244430340189
R1:  13629324985319
A0:  9311875153987622721812719715160
A1:  684623277577540784429284122
A2: -3170654008522523850157
A3: -1037361280175245
A4:  2256846919
A5:  420
skew 1061854.95, size 4.463e-12, alpha -5.938, combined = 1.346e-10 rroots = 5

commencing relation filtering
estimated available RAM is 3960.1 MB
commencing duplicate removal, pass 1
error -15 reading relation 5207045
error -15 reading relation 7509462
error -15 reading relation 7614343
found 1020930 hash collisions in 7764732 relations
added 1 free relations
commencing duplicate removal, pass 2
found 782358 duplicates and 6982375 unique relations
memory use: 41.3 MB
reading ideals above 100000
commencing singleton removal, initial pass
memory use: 172.2 MB
reading all ideals from disk
memory use: 260.6 MB
keeping 5624404 ideals with weight <= 200, target excess is 38629
commencing in-memory singleton removal
begin with 6982375 relations and 5624404 unique ideals
reduce to 5728389 relations and 4186031 ideals in 9 passes
max relations containing the same ideal: 183
removing 1099902 relations and 699902 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 4628487 relations and 4186031 unique ideals
reduce to 4504582 relations and 3352559 ideals in 6 passes
max relations containing the same ideal: 155
removing 924110 relations and 524110 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 3580472 relations and 3352559 unique ideals
reduce to 3484242 relations and 2724154 ideals in 6 passes
max relations containing the same ideal: 129
removing 880432 relations and 480432 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 2603810 relations and 2724154 unique ideals
reduce to 2511091 relations and 2143125 ideals in 6 passes
max relations containing the same ideal: 102
removing 718455 relations and 395299 ideals in 323156 cliques
commencing in-memory singleton removal
begin with 1792636 relations and 2143125 unique ideals
reduce to 1702126 relations and 1649344 ideals in 7 passes
max relations containing the same ideal: 77
relations with 0 large ideals: 116
relations with 1 large ideals: 170
relations with 2 large ideals: 2285
relations with 3 large ideals: 18625
relations with 4 large ideals: 84495
relations with 5 large ideals: 233229
relations with 6 large ideals: 410767
relations with 7+ large ideals: 952439
commencing 2-way merge
reduce to 1371982 relation sets and 1319200 unique ideals
commencing full merge
memory use: 157.9 MB
found 676283 cycles, need 663400
weight of 663400 cycles is about 46517151 (70.12/cycle)
distribution of cycle lengths:
1 relations: 52186
2 relations: 80096
3 relations: 91686
4 relations: 85006
5 relations: 74336
6 relations: 61617
7 relations: 49839
8 relations: 40058
9 relations: 31710
10+ relations: 96866
heaviest cycle: 19 relations
commencing cycle optimization
start with 3714615 relations
pruned 180802 relations
memory use: 108.2 MB
distribution of cycle lengths:
1 relations: 52186
2 relations: 82890
3 relations: 97575
4 relations: 89668
5 relations: 78342
6 relations: 63397
7 relations: 50207
8 relations: 39275
9 relations: 30260
10+ relations: 79600
heaviest cycle: 19 relations
RelProcTime: 270

commencing linear algebra
read 663400 cycles
cycles contain 1648189 unique relations
read 1648189 relations
using 20 quadratic characters above 50330504
building initial matrix
memory use: 232.3 MB
read 663400 cycles
matrix is 663216 x 663400 (194.6 MB) with weight 61853053 (93.24/col)
sparse part has weight 43723601 (65.91/col)
filtering completed in 2 passes
matrix is 662745 x 662929 (194.6 MB) with weight 61830154 (93.27/col)
sparse part has weight 43714399 (65.94/col)
matrix starts at (0, 0)
matrix is 662745 x 662929 (194.6 MB) with weight 61830154 (93.27/col)
sparse part has weight 43714399 (65.94/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 662697 x 662929 (188.1 MB) with weight 48821447 (73.65/col)
sparse part has weight 42670847 (64.37/col)
using block size 65536 for processor cache size 6144 kB
commencing Lanczos iteration (6 threads)
memory use: 170.9 MB
linear algebra at 0.5%, ETA 0h28m662929 dimensions (0.5%, ETA 0h28m)    
linear algebra completed 662198 of 662929 dimensions (99.9%, ETA 0h 0m)    
lanczos halted after 10481 iterations (dim = 662697)
recovered 31 nontrivial dependencies
BLanczosTime: 948

commencing square root phase
reading relations for dependency 1
read 331281 cycles
cycles contain 823728 unique relations
read 823728 relations
multiplying 823728 relations
multiply complete, coefficients have about 35.21 million bits
initial square root is modulo 113759
reading relations for dependency 2
read 331726 cycles
cycles contain 824702 unique relations
read 824702 relations
multiplying 824702 relations
multiply complete, coefficients have about 35.25 million bits
initial square root is modulo 115429
sqrtTime: 218
prp61 factor: 4342441302640116208852838725871762493012452704326874655603213
prp64 factor: 3189243884512520629323626480635530100849756527675698196953938247
elapsed time 00:23:57

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 17, 2010 04:00:00 UTC 2010 年 11 月 17 日 (水) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 18, 2010 21:26:08 UTC 2010 年 11 月 19 日 (金) 6 時 26 分 8 秒 (日本時間)
403e6110Ignacio SantosNovember 18, 2010 21:26:08 UTC 2010 年 11 月 19 日 (金) 6 時 26 分 8 秒 (日本時間)
4511e61272 / 233232Ignacio SantosNovember 18, 2010 21:26:08 UTC 2010 年 11 月 19 日 (金) 6 時 26 分 8 秒 (日本時間)
620Dmitry DomanovNovember 20, 2010 10:27:15 UTC 2010 年 11 月 20 日 (土) 19 時 27 分 15 秒 (日本時間)
620Dmitry DomanovNovember 20, 2010 10:27:25 UTC 2010 年 11 月 20 日 (土) 19 時 27 分 25 秒 (日本時間)
5043e6600 / 7261Dmitry DomanovNovember 30, 2010 06:55:05 UTC 2010 年 11 月 30 日 (火) 15 時 55 分 5 秒 (日本時間)

9×10246+1

c232

composite cofactor 合成数の残り
4535169995812690664559155916413559712822846221590794877410623558074749539782258328133296273393990996150620409252390057543476735318362121908726887792591067545547736630569335578122071823333717827026468360637443146148189866732116083809<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 17, 2010 04:00:00 UTC 2010 年 11 月 17 日 (水) 13 時 0 分 0 秒 (日本時間)
403e6320Dmitry DomanovMarch 10, 2011 06:51:43 UTC 2011 年 3 月 10 日 (木) 15 時 51 分 43 秒 (日本時間)
4511e6900 / 4404600Dmitry DomanovAugust 22, 2011 20:44:20 UTC 2011 年 8 月 23 日 (火) 5 時 44 分 20 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:37:12 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 12 秒 (日本時間)

9×10248+1

c249

name 名前Serge Batalov
date 日付November 19, 2010 04:09:34 UTC 2010 年 11 月 19 日 (金) 13 時 9 分 34 秒 (日本時間)
composite number 合成数
900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<249>
prime factors 素因数
40523859866204024257372647251587112977<38>
composite cofactor 合成数の残り
22209138097197386974421552873804494426609089168954298348491737217066053657007440573805672473088745490202628527778721019823798042341228054650156445825855282647211740935741152905877052168297171093813678116174876913<212>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3376365797
Step 1 took 13865ms
Step 2 took 5979ms
********** Factor found in step 2: 40523859866204024257372647251587112977
Found probable prime factor of 38 digits: 40523859866204024257372647251587112977
Composite cofactor has 212 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 17, 2010 04:00:00 UTC 2010 年 11 月 17 日 (水) 13 時 0 分 0 秒 (日本時間)
403e6320Dmitry DomanovMarch 10, 2011 06:50:55 UTC 2011 年 3 月 10 日 (木) 15 時 50 分 55 秒 (日本時間)
4511e6900 / 4404600Dmitry DomanovAugust 21, 2011 20:35:26 UTC 2011 年 8 月 22 日 (月) 5 時 35 分 26 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:37:13 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 13 秒 (日本時間)

9×10250+1

c215

composite cofactor 合成数の残り
13129428727467192338452313099001880919463629066491315026588126273971262966923495221476241732745318333157413007451056839859811013920778520493151265429756303072950323037441582529639153979195582942904060639389636007929<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 17, 2010 04:00:00 UTC 2010 年 11 月 17 日 (水) 13 時 0 分 0 秒 (日本時間)
403e60--
4511e6800Dmitry DomanovMarch 3, 2011 20:43:26 UTC 2011 年 3 月 4 日 (金) 5 時 43 分 26 秒 (日本時間)
5043e61200Dmitry DomanovJuly 22, 2011 07:22:40 UTC 2011 年 7 月 22 日 (金) 16 時 22 分 40 秒 (日本時間)
5511e75150 / 172912575yoyo@homeDecember 7, 2011 10:05:25 UTC 2011 年 12 月 7 日 (水) 19 時 5 分 25 秒 (日本時間)
2575yoyo@homeMay 26, 2012 03:47:17 UTC 2012 年 5 月 26 日 (土) 12 時 47 分 17 秒 (日本時間)