Table of contents 目次

6×10116+1

c100

name 名前Shaopu Lin
date 日付March 29, 2007 01:22:21 UTC 2007 年 3 月 29 日 (木) 10 時 22 分 21 秒 (日本時間)
composite number 合成数
2774583377973247515120418666588758007725716130878216258584319823955305330744998010385552113198923333<100>
prime factors 素因数
1844456395138388719546644007583570020351357048013<49>
1504282446191996744686075825671917165322581155319641<52>
factorization results 素因数分解の結果
Number: 6.116.+1
N=2774583377973247515120418666588758007725716130878216258584319823955305330744998010385552113198923333
  ( 100 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=1844456395138388719546644007583570020351357048013 (pp49)
 r2=1504282446191996744686075825671917165322581155319641 (pp52)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 1.68 hours.
Scaled time: 2.14 units (timescale=1.277).
Factorization parameters were as follows:
n: 2774583377973247515120418666588758007725716130878216258584319823955305330744998010385552113198923333
m: 100000000000000000000000
c5: 60
c0: 1
skew: 0.4409301031108602482135000634
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:63828, largePrimes:2028041 encountered
Relations: rels:2073919, finalFF:216782
Max relations in full relation-set: 32
Initial matrix: 112993 x 216782 with sparse part having weight 17583425.
Pruned matrix : 84139 x 84767 with weight 4244399.
Total sieving time: 1.49 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,116,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.68 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.. 5629.19 BogoMIPS (lpj=2814597)
Total of 1 processors activated (5629.19 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).

6×10117+1

c109

name 名前Shaopu Lin
date 日付March 29, 2007 01:25:21 UTC 2007 年 3 月 29 日 (木) 10 時 25 分 21 秒 (日本時間)
composite number 合成数
2982447199200909740641087772219643336028900593358218233194233006680820410004800661338976420353409286119862673<109>
prime factors 素因数
84949547191298834829861938440359659209<38>
35108453167910401652183651057262560059278692771200689617890345494466697<71>
factorization results 素因数分解の結果
Number: 6.117.+1
N=2982447199200909740641087772219643336028900593358218233194233006680820410004800661338976420353409286119862673
  ( 109 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=84949547191298834829861938440359659209 (pp38)
 r2=35108453167910401652183651057262560059278692771200689617890345494466697 (pp71)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 2.30 hours.
Scaled time: 2.94 units (timescale=1.282).
Factorization parameters were as follows:
n: 2982447199200909740641087772219643336028900593358218233194233006680820410004800661338976420353409286119862673
m: 100000000000000000000000
c5: 600
c0: 1
skew: 0.2782080869602061787542021946
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:63758, largePrimes:2260345 encountered
Relations: rels:2575810, finalFF:449631
Max relations in full relation-set: 32
Initial matrix: 112922 x 449631 with sparse part having weight 38977979.
Pruned matrix : 65873 x 66501 with weight 5825304.
Total sieving time: 2.11 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,117,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.30 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).

6×10123+1

c114

name 名前Jo Yeong Uk
date 日付March 28, 2007 12:18:18 UTC 2007 年 3 月 28 日 (水) 21 時 18 分 18 秒 (日本時間)
composite number 合成数
103678053515444447646496968098004446630653870257492258219735430328279463228768508005623250938029042426190228651183<114>
prime factors 素因数
46731777018239824577493857223667185843576140952323<50>
2218577168058000218769466780291988857687020303171346242507278821<64>
factorization results 素因数分解の結果
Number: 60001_123
N=103678053515444447646496968098004446630653870257492258219735430328279463228768508005623250938029042426190228651183
  ( 114 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=46731777018239824577493857223667185843576140952323 (pp50)
 r2=2218577168058000218769466780291988857687020303171346242507278821 (pp64)
Version: GGNFS-0.77.1-20050930-k8
Total time: 1.95 hours.
Scaled time: 1.77 units (timescale=0.907).
Factorization parameters were as follows:
n: 103678053515444447646496968098004446630653870257492258219735430328279463228768508005623250938029042426190228651183
m: 10000000000000000000000000
c5: 3
c0: 50
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, 800001)
Primes: RFBsize:78498, AFBsize:78466, largePrimes:1533564 encountered
Relations: rels:1603464, finalFF:239699
Max relations in full relation-set: 28
Initial matrix: 157029 x 239699 with sparse part having weight 10890124.
Pruned matrix : 112192 x 113041 with weight 4386011.
Total sieving time: 1.88 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,125,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,44,44,2.2,2.2,50000
total time: 1.95 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.. 4671.62 BogoMIPS (lpj=2335810)
Calibrating delay using timer specific routine.. 4668.46 BogoMIPS (lpj=2334234)
Total of 2 processors activated (9340.08 BogoMIPS).
execution environment 実行環境
Core 2 Duo E6300@2.33GHz

6×10130+1

c112

name 名前Jo Yeong Uk
date 日付March 28, 2007 15:00:32 UTC 2007 年 3 月 29 日 (木) 0 時 0 分 32 秒 (日本時間)
composite number 合成数
5938695867644591250096964108036195170468256919566410685964230328223435047888048980160458151235501463313407642067<112>
prime factors 素因数
80533406104775313809314886144551<32>
73742017814548265755028178719963181032292046951828193081508776580982918009049717<80>
factorization results 素因数分解の結果
Number: 60001_130
N=5938695867644591250096964108036195170468256919566410685964230328223435047888048980160458151235501463313407642067
  ( 112 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=80533406104775313809314886144551 (pp32)
 r2=73742017814548265755028178719963181032292046951828193081508776580982918009049717 (pp80)
Version: GGNFS-0.77.1-20050930-k8
Total time: 2.49 hours.
Scaled time: 2.26 units (timescale=0.907).
Factorization parameters were as follows:
n: 5938695867644591250096964108036195170468256919566410685964230328223435047888048980160458151235501463313407642067
m: 100000000000000000000000000
c5: 6
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:78381, largePrimes:1552605 encountered
Relations: rels:1607977, finalFF:227611
Max relations in full relation-set: 28
Initial matrix: 156945 x 227611 with sparse part having weight 11540004.
Pruned matrix : 124379 x 125227 with weight 5154950.
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: 2.49 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.. 4671.62 BogoMIPS (lpj=2335810)
Calibrating delay using timer specific routine.. 4668.46 BogoMIPS (lpj=2334234)
Total of 2 processors activated (9340.08 BogoMIPS).
execution environment 実行環境
Core 2 Duo E6300@2.33GHz

6×10132+1

c129

name 名前suberi
date 日付March 29, 2007 10:53:34 UTC 2007 年 3 月 29 日 (木) 19 時 53 分 34 秒 (日本時間)
composite number 合成数
352878903722872434276304181615009116038346174204552137858025054402164323942833617596894665647238722578368523201787919778862553667<129>
prime factors 素因数
36596493239037447170949018613664094139517120346108317971376267<62>
9642423972646013466783289114801468750815943389674239701142494172201<67>
factorization results 素因数分解の結果
Number: 60001_132
N=352878903722872434276304181615009116038346174204552137858025054402164323942833617596894665647238722578368523201787919778862553667
  ( 129 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=36596493239037447170949018613664094139517120346108317971376267 (pp62)
 r2=9642423972646013466783289114801468750815943389674239701142494172201 (pp67)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 6.36 hours.
Scaled time: 3.95 units (timescale=0.620).
Factorization parameters were as follows:
n: 352878903722872434276304181615009116038346174204552137858025054402164323942833617596894665647238722578368523201787919778862553667
m: 100000000000000000000000000
c5: 600
c0: 1
skew: 1
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 1000001)
Primes: RFBsize:63951, AFBsize:63758, largePrimes:1465168 encountered
Relations: rels:1451436, finalFF:159411
Max relations in full relation-set: 28
Initial matrix: 127775 x 159411 with sparse part having weight 11544070.
Pruned matrix : 118379 x 119081 with weight 6897026.
Total sieving time: 5.94 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.28 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,132,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 6.36 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.26GHz, Windows XP and Cygwin

6×10133+1

c101

name 名前Shaopu Lin
date 日付March 29, 2007 01:23:50 UTC 2007 年 3 月 29 日 (木) 10 時 23 分 50 秒 (日本時間)
composite number 合成数
66105676964192055331339699187649664746820562965637914107453371282434427610071830386331809334718585123<101>
prime factors 素因数
366262675924266703046624692745658752739944862649<48>
180487069279920119803199143358086060304773059562666427<54>
factorization results 素因数分解の結果
Number: 6.133.+1
N=66105676964192055331339699187649664746820562965637914107453371282434427610071830386331809334718585123
  ( 101 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=366262675924266703046624692745658752739944862649 (pp48)
 r2=180487069279920119803199143358086060304773059562666427 (pp54)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 7.67 hours.
Scaled time: 8.97 units (timescale=1.170).
Factorization parameters were as follows:
n: 66105676964192055331339699187649664746820562965637914107453371282434427610071830386331809334718585123
m: 1000000000000000000000000000
c5: 3
c0: 50
skew: 1.755374357613263695354790869
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1150001)
Primes: RFBsize:78498, AFBsize:64108, largePrimes:1522627 encountered
Relations: rels:1528331, finalFF:182412
Max relations in full relation-set: 32
Initial matrix: 142671 x 182412 with sparse part having weight 13819576.
Pruned matrix : 129373 x 130150 with weight 7940935.
Total sieving time: 7.28 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,135,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 7.67 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).

6×10134+1

c117

name 名前suberi
date 日付March 31, 2007 09:39:30 UTC 2007 年 3 月 31 日 (土) 18 時 39 分 30 秒 (日本時間)
composite number 合成数
805360376054171448926513211091415837287242409322705512939398427708441937403689882581959931662204102681244824764929039<117>
prime factors 素因数
4433404553816215317147736447963746529<37>
95562856740921441632025329178966092257<38>
1900919699476513791402495760985135475898063<43>
factorization results 素因数分解の結果
Number: 60001_134
N=805360376054171448926513211091415837287242409322705512939398427708441937403689882581959931662204102681244824764929039
  ( 117 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=4433404553816215317147736447963746529 (pp37)
 r2=95562856740921441632025329178966092257 (pp38)
 r3=1900919699476513791402495760985135475898063 (pp43)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 8.00 hours.
Scaled time: 4.86 units (timescale=0.607).
Factorization parameters were as follows:
n: 805360376054171448926513211091415837287242409322705512939398427708441937403689882581959931662204102681244824764929039
m: 1000000000000000000000000000
c5: 3
c0: 5
skew: 1.11
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1075001)
Primes: RFBsize:78498, AFBsize:63968, largePrimes:1495955 encountered
Relations: rels:1492100, finalFF:171961
Max relations in full relation-set: 28
Initial matrix: 142531 x 171961 with sparse part having weight 12288325.
Pruned matrix : 132417 x 133193 with weight 7795674.
Total sieving time: 7.41 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.43 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,135,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 8.00 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.26GHz, Windows XP

6×10135+1

c136

name 名前Robert Backstrom
date 日付March 29, 2007 04:26:41 UTC 2007 年 3 月 29 日 (木) 13 時 26 分 41 秒 (日本時間)
composite number 合成数
6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<136>
prime factors 素因数
6880668114947944749317742283818949380447951589<46>
872008342760387973294859623740096978369380316479863520578687666785407351034250325563331309<90>
factorization results 素因数分解の結果
Number: n
N=6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
  ( 136 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=6880668114947944749317742283818949380447951589 (pp46)
 r2=872008342760387973294859623740096978369380316479863520578687666785407351034250325563331309 (pp90)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 4.93 hours.
Scaled time: 6.43 units (timescale=1.303).
Factorization parameters were as follows:
name: KA_6_0_134_1
n: 6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
skew: 1.0
deg: 5
c5: 6
c0: 1
m: 1000000000000000000000000000
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 [625000, 1025001)
Primes: RFBsize:183072, AFBsize:183151, largePrimes:6757053 encountered
Relations: rels:6176901, finalFF:469461
Max relations in full relation-set: 48
Initial matrix: 366289 x 469461 with sparse part having weight 27534006.
Pruned matrix : 275137 x 277032 with weight 11713717.
Total sieving time: 3.49 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.27 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,135,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,75000
total time: 4.93 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

6×10136+1

c117

name 名前Jo Yeong Uk
date 日付March 28, 2007 22:02:30 UTC 2007 年 3 月 29 日 (木) 7 時 2 分 30 秒 (日本時間)
composite number 合成数
208861553183574384641496570438992202326763001190184099906600714715092191323809412019926563630101556877732704729938957<117>
prime factors 素因数
41930632229393576833881200665999<32>
4981121010552314579673023411353830652553041863694028008692298895946066995164432699043<85>
factorization results 素因数分解の結果
Number: 60001_136
N=208861553183574384641496570438992202326763001190184099906600714715092191323809412019926563630101556877732704729938957
  ( 117 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=41930632229393576833881200665999 (pp32)
 r2=4981121010552314579673023411353830652553041863694028008692298895946066995164432699043 (pp85)
Version: GGNFS-0.77.1-20050930-k8
Total time: 5.30 hours.
Scaled time: 4.80 units (timescale=0.906).
Factorization parameters were as follows:
n: 208861553183574384641496570438992202326763001190184099906600714715092191323809412019926563630101556877732704729938957
m: 1000000000000000000000000000
c5: 60
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, 1450001)
Primes: RFBsize:100021, AFBsize:99983, largePrimes:1573606 encountered
Relations: rels:1601867, finalFF:226059
Max relations in full relation-set: 28
Initial matrix: 200071 x 226059 with sparse part having weight 9991724.
Pruned matrix : 187226 x 188290 with weight 7125975.
Total sieving time: 5.14 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1300000,1300000,25,25,43,43,2.3,2.3,50000
total time: 5.30 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.. 4671.62 BogoMIPS (lpj=2335810)
Calibrating delay using timer specific routine.. 4668.46 BogoMIPS (lpj=2334234)
Total of 2 processors activated (9340.08 BogoMIPS).
execution environment 実行環境
Core 2 Duo E6300@2.33GHz

6×10137+1

c117

name 名前Jo Yeong Uk
date 日付March 29, 2007 04:21:17 UTC 2007 年 3 月 29 日 (木) 13 時 21 分 17 秒 (日本時間)
composite number 合成数
126345559969025178596852180111068916025623690265881256100032965758421964815162261474428762273655471555768749684910239<117>
prime factors 素因数
14655169765563672253443781435081771<35>
8621228002824546712512779722593849212894060284244445369802723033429410273152233309<82>
factorization results 素因数分解の結果
Number: 60001_137
N=126345559969025178596852180111068916025623690265881256100032965758421964815162261474428762273655471555768749684910239
  ( 117 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=14655169765563672253443781435081771 (pp35)
 r2=8621228002824546712512779722593849212894060284244445369802723033429410273152233309 (pp82)
Version: GGNFS-0.77.1-20050930-k8
Total time: 6.19 hours.
Scaled time: 5.61 units (timescale=0.906).
Factorization parameters were as follows:
n: 126345559969025178596852180111068916025623690265881256100032965758421964815162261474428762273655471555768749684910239
m: 2000000000000000000000000000
c5: 75
c0: 4
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, 1600001)
Primes: RFBsize:100021, AFBsize:99653, largePrimes:1606035 encountered
Relations: rels:1640566, finalFF:232314
Max relations in full relation-set: 28
Initial matrix: 199740 x 232314 with sparse part having weight 11569395.
Pruned matrix : 183772 x 184834 with weight 7837658.
Total sieving time: 6.03 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,138,5,0,0,0,0,0,0,0,0,1300000,1300000,25,25,43,43,2.3,2.3,50000
total time: 6.19 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.. 4671.62 BogoMIPS (lpj=2335810)
Calibrating delay using timer specific routine.. 4668.46 BogoMIPS (lpj=2334234)
Total of 2 processors activated (9340.08 BogoMIPS).
execution environment 実行環境
Core 2 Duo E6300@2.33GHz

6×10139+1

c107

name 名前Robert Backstrom
date 日付March 29, 2007 05:04:17 UTC 2007 年 3 月 29 日 (木) 14 時 4 分 17 秒 (日本時間)
composite number 合成数
17458774620113914470450750350485650721062967459553658304917158020724895264651040876779047803300485387474709<107>
prime factors 素因数
323196751600306705639682362661998583<36>
54019028760861303562927364638531753025925788771571944925497170577303123<71>
factorization results 素因数分解の結果
Number: n
N=17458774620113914470450750350485650721062967459553658304917158020724895264651040876779047803300485387474709
  ( 107 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=323196751600306705639682362661998583 (pp36)
 r2=54019028760861303562927364638531753025925788771571944925497170577303123 (pp71)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 7.00 hours.
Scaled time: 7.19 units (timescale=1.027).
Factorization parameters were as follows:
name: KA_6_0_138_1
n: 17458774620113914470450750350485650721062967459553658304917158020724895264651040876779047803300485387474709
type: snfs
skew: 1
deg: 5
c5: 3
c0: 5
m: 10000000000000000000000000000
rlim: 2800000
alim: 2800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [700000, 1300001)
Primes: RFBsize:203362, AFBsize:203187, largePrimes:6332246 encountered
Relations: rels:5935476, finalFF:580430
Max relations in full relation-set: 48
Initial matrix: 406614 x 580430 with sparse part having weight 28996765.
Pruned matrix : 249589 x 251686 with weight 11668387.
Total sieving time: 5.78 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.00 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.3,2.3,75000
total time: 7.00 hours.
 --------- CPU info (if available) ----------
CPU: AMD Athlon(tm) XP 3000+ stepping 00
Memory: 2076900k/2097088k available (1540k kernel code, 19412k reserved, 599k data, 144k init, 0k highmem)
Calibrating delay loop... 4292.60 BogoMIPS
x86info v1.12b.  Dave Jones 2001-2003
Feedback to <davej@redhat.com>.

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

6×10142+1

c128

name 名前Jo Yeong Uk
date 日付March 29, 2007 13:37:46 UTC 2007 年 3 月 29 日 (木) 22 時 37 分 46 秒 (日本時間)
composite number 合成数
44003689919198461148612843709883711482295308168094192381135593052331773504067100100819483505234335724777643856075977739176269311<128>
prime factors 素因数
168722167314338241440719151552099503<36>
260805622756239731875686742670995926907630708041156681530524921153215720747176911819093845937<93>
factorization results 素因数分解の結果
Number: 60001_142
N=44003689919198461148612843709883711482295308168094192381135593052331773504067100100819483505234335724777643856075977739176269311
  ( 128 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=168722167314338241440719151552099503 (pp36)
 r2=260805622756239731875686742670995926907630708041156681530524921153215720747176911819093845937 (pp93)
Version: GGNFS-0.77.1-20050930-k8
Total time: 9.01 hours.
Scaled time: 7.81 units (timescale=0.867).
Factorization parameters were as follows:
n: 44003689919198461148612843709883711482295308168094192381135593052331773504067100100819483505234335724777643856075977739176269311
m: 20000000000000000000000000000
c5: 75
c0: 4
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, 1250001)
Primes: RFBsize:114155, AFBsize:113902, largePrimes:2662818 encountered
Relations: rels:2669079, finalFF:313554
Max relations in full relation-set: 28
Initial matrix: 228123 x 313554 with sparse part having weight 20150084.
Pruned matrix : 187065 x 188269 with weight 9927048.
Total sieving time: 8.80 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,143,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,50000
total time: 9.01 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 06
Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 06
Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4671.62 BogoMIPS (lpj=2335810)
Calibrating delay using timer specific routine.. 4668.47 BogoMIPS (lpj=2334238)
Total of 2 processors activated (9340.09 BogoMIPS).
execution environment 実行環境
Core 2 Duo E6300@2.33GHz

6×10144+1

c139

name 名前Robert Backstrom
date 日付March 29, 2007 13:56:20 UTC 2007 年 3 月 29 日 (木) 22 時 56 分 20 秒 (日本時間)
composite number 合成数
3137981765187962492749954630013644990708958990239307719382842666301266123342557256399783060860633338859667886469911723342975653968474789193<139>
prime factors 素因数
8690737773132673400046895125462569162199460287601619<52>
361071965016480062594290480035242393015221651315524279120702561149015142886111978824947<87>
factorization results 素因数分解の結果
Number: n
N=3137981765187962492749954630013644990708958990239307719382842666301266123342557256399783060860633338859667886469911723342975653968474789193
  ( 139 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=8690737773132673400046895125462569162199460287601619 (pp52)
 r2=361071965016480062594290480035242393015221651315524279120702561149015142886111978824947 (pp87)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 8.84 hours.
Scaled time: 11.70 units (timescale=1.323).
Factorization parameters were as follows:
name: KA_6_0_143_1
n: 3137981765187962492749954630013644990708958990239307719382842666301266123342557256399783060860633338859667886469911723342975653968474789193
skew: 1.0
deg: 5
c5: 3
c0: 5
m: 100000000000000000000000000000
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 [625000, 1425001)
Primes: RFBsize:183072, AFBsize:183061, largePrimes:6812550 encountered
Relations: rels:6210007, finalFF:436143
Max relations in full relation-set: 48
Initial matrix: 366198 x 436143 with sparse part having weight 31494582.
Pruned matrix : 309296 x 311190 with weight 17011799.
Total sieving time: 6.46 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 2.19 hours.
Total square root time: 0.06 hours, sqrts: 1
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000
total time: 8.84 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

6×10147+1

c144

name 名前Robert Backstrom
date 日付March 29, 2007 19:04:48 UTC 2007 年 3 月 30 日 (金) 4 時 4 分 48 秒 (日本時間)
composite number 合成数
138789294719067335939487867502486641530383289768915824292752885660752700608359741851911822534755152552566445374846753487081029816566815479632671<144>
prime factors 素因数
115760644183242053581470522727778242831221097437922034717<57>
1198933330911430747361811027483210008562962708283177147904000051570352016647574586611563<88>
factorization results 素因数分解の結果
Number: n
N=138789294719067335939487867502486641530383289768915824292752885660752700608359741851911822534755152552566445374846753487081029816566815479632671
  ( 144 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=115760644183242053581470522727778242831221097437922034717 (pp57)
 r2=1198933330911430747361811027483210008562962708283177147904000051570352016647574586611563 (pp88)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 13.08 hours.
Scaled time: 13.45 units (timescale=1.028).
Factorization parameters were as follows:
name: KA_6_0_146_1
n: 138789294719067335939487867502486641530383289768915824292752885660752700608359741851911822534755152552566445374846753487081029816566815479632671
type: snfs
skew: 1
deg: 5
c5: 75
c0: 4
m: 200000000000000000000000000000
rlim: 2800000
alim: 2800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [700000, 1900001)
Primes: RFBsize:203362, AFBsize:203327, largePrimes:6772732 encountered
Relations: rels:6313076, finalFF:556374
Max relations in full relation-set: 48
Initial matrix: 406755 x 556374 with sparse part having weight 34465165.
Pruned matrix : 285284 x 287381 with weight 17097564.
Total sieving time: 10.71 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 1.79 hours.
Total square root time: 0.38 hours, sqrts: 4.
Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.3,2.3,100000
total time: 13.08 hours.
 --------- CPU info (if available) ----------
CPU: AMD Athlon(tm) XP 3000+ stepping 00
Memory: 2076900k/2097088k available (1540k kernel code, 19412k reserved, 599k data, 144k init, 0k highmem)
Calibrating delay loop... 4292.60 BogoMIPS
x86info v1.12b.  Dave Jones 2001-2003
Feedback to <davej@redhat.com>.

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

6×10149+1

c119

name 名前Jo Yeong Uk
date 日付March 30, 2007 06:38:43 UTC 2007 年 3 月 30 日 (金) 15 時 38 分 43 秒 (日本時間)
composite number 合成数
42665172000227042905248666636269907370987871316211270116976905960540274050479954940900986182398874236738120753476850001<119>
prime factors 素因数
22501049938160881627846852996382188283<38>
1896141385290142214720833871694818954129695297495385547007001852440390777837062947<82>
factorization results 素因数分解の結果
Number: 60001_149
N=42665172000227042905248666636269907370987871316211270116976905960540274050479954940900986182398874236738120753476850001
  ( 119 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=22501049938160881627846852996382188283 (pp38)
 r2=1896141385290142214720833871694818954129695297495385547007001852440390777837062947 (pp82)
Version: GGNFS-0.77.1-20050930-k8
Total time: 16.31 hours.
Scaled time: 14.81 units (timescale=0.908).
Factorization parameters were as follows:
n: 42665172000227042905248666636269907370987871316211270116976905960540274050479954940900986182398874236738120753476850001
m: 1000000000000000000000000000000
c5: 3
c0: 5
skew: 1.11
type: snfs
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [900000, 1800001)
Primes: RFBsize:135072, AFBsize:135068, largePrimes:2722233 encountered
Relations: rels:2706884, finalFF:317643
Max relations in full relation-set: 28
Initial matrix: 270205 x 317643 with sparse part having weight 18554762.
Pruned matrix : 249291 x 250706 with weight 12273618.
Total sieving time: 15.95 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.29 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,45,45,2.3,2.3,75000
total time: 16.31 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.. 4671.62 BogoMIPS (lpj=2335810)
Calibrating delay using timer specific routine.. 4668.47 BogoMIPS (lpj=2334238)
Total of 2 processors activated (9340.09 BogoMIPS).
execution environment 実行環境
Core 2 Duo E6300@2.33GHz

6×10151+1

c141

name 名前Robert Backstrom
date 日付March 30, 2007 08:26:03 UTC 2007 年 3 月 30 日 (金) 17 時 26 分 3 秒 (日本時間)
composite number 合成数
866331416248530507913950966103277323181094369907219304082316894962353482612304182861456519612999020205316992825763695151993423853564736053617<141>
prime factors 素因数
85355460087173921743066987368891301<35>
4059984657865523211612358150944087268984576395068423<52>
2499932966831125928910143611140847400709468157774550779<55>
factorization results 素因数分解の結果
Number: n
N=866331416248530507913950966103277323181094369907219304082316894962353482612304182861456519612999020205316992825763695151993423853564736053617
  ( 141 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=85355460087173921743066987368891301 (pp35)
 r2=4059984657865523211612358150944087268984576395068423 (pp52)
 r3=2499932966831125928910143611140847400709468157774550779 (pp55)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 17.90 hours.
Scaled time: 23.70 units (timescale=1.324).
Factorization parameters were as follows:
name: KA_6_0_150_1
n: 866331416248530507913950966103277323181094369907219304082316894962353482612304182861456519612999020205316992825763695151993423853564736053617
skew: 1.0
deg: 5
c5: 60
c0: 1
m: 1000000000000000000000000000000
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 [625000, 1225001)
Primes: RFBsize:183072, AFBsize:182401, largePrimes:6997715 encountered
Relations: rels:6415375, finalFF:435403
Max relations in full relation-set: 48
Initial matrix: 365540 x 435403 with sparse part having weight 40361151.
Pruned matrix : 313619 x 315510 with weight 23532552.
Total sieving time: 14.43 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 3.06 hours.
Total square root time: 0.27 hours, sqrts: 4.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000
total time: 17.90 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

6×10152+1

c108

name 名前Jo Yeong Uk
date 日付March 29, 2007 03:45:37 UTC 2007 年 3 月 29 日 (木) 12 時 45 分 37 秒 (日本時間)
composite number 合成数
285179560595540299932832205225142789794867040905720810005750599286811179860506472370989694622025480878681861<108>
prime factors 素因数
298164910200576610275597713265821141<36>
956449101954012566944100844383139842704712531307907202661451759300471921<72>
factorization results 素因数分解の結果
GMP-ECM 6.1.1 [powered by GMP 4.1.4] [ECM]
Input number is 285179560595540299932832205225142789794867040905720810005750599286811179860506472370989694622025480878681861 (108 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=23251224
Step 1 took 6036ms
Step 2 took 3791ms
********** Factor found in step 2: 298164910200576610275597713265821141
Found probable prime factor of 36 digits: 298164910200576610275597713265821141
Probable prime cofactor 956449101954012566944100844383139842704712531307907202661451759300471921 has 72 digits
execution environment 実行環境
Core 2 Duo E6300@2.33GHz

6×10153+1

c141

name 名前Robert Backstrom
date 日付March 31, 2007 03:20:49 UTC 2007 年 3 月 31 日 (土) 12 時 20 分 49 秒 (日本時間)
composite number 合成数
180039938065271742432802419890207882745250058570293387508818336338413580893400078723650876563405461280952457200558289033306093322248055089617<141>
prime factors 素因数
984429390961917259297755699215421271<36>
182887609531191459362098716133019089012168238316933698590744176357181073877813369466618012759402594754327<105>
factorization results 素因数分解の結果
Number: n
N=180039938065271742432802419890207882745250058570293387508818336338413580893400078723650876563405461280952457200558289033306093322248055089617
  ( 141 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=984429390961917259297755699215421271 (pp36)
 r2=182887609531191459362098716133019089012168238316933698590744176357181073877813369466618012759402594754327 (pp105)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 27.14 hours.
Scaled time: 27.95 units (timescale=1.030).
Factorization parameters were as follows:
name: KA_6_0_152_1
n: 180039938065271742432802419890207882745250058570293387508818336338413580893400078723650876563405461280952457200558289033306093322248055089617
type: snfs
skew: 1
deg: 5
c5: 375
c0: 2
m: 2000000000000000000000000000000
rlim: 2800000
alim: 2800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [700000, 1700001)
Primes: RFBsize:203362, AFBsize:203002, largePrimes:6512346 encountered
Relations: rels:5970054, finalFF:457938
Max relations in full relation-set: 48
Initial matrix: 406430 x 457938 with sparse part having weight 33384429.
Pruned matrix : 366052 x 368148 with weight 21666820.
Total sieving time: 23.81 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 3.02 hours.
Total square root time: 0.11 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,154,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.3,2.3,100000
total time: 27.14 hours.
 --------- CPU info (if available) ----------
CPU: AMD Athlon(tm) XP 3000+ stepping 00
Memory: 2076900k/2097088k available (1540k kernel code, 19412k reserved, 599k data, 144k init, 0k highmem)
Calibrating delay loop... 4292.60 BogoMIPS
x86info v1.12b.  Dave Jones 2001-2003
Feedback to <davej@redhat.com>.

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

6×10154+1

c143

name 名前Jo Yeong Uk
date 日付March 31, 2007 03:52:52 UTC 2007 年 3 月 31 日 (土) 12 時 52 分 52 秒 (日本時間)
composite number 合成数
10276243092916545282599038127331836714616312273924222818750214626679157163539329590634914587427396014343641520606720047587449248821562496473111<143>
prime factors 素因数
238374791151267475667638647382887847013<39>
43109605018575408648854020726186133527988347085935528901089943775031879035223884740987728777643420089547<104>
factorization results 素因数分解の結果
Number: 60001_154
N=10276243092916545282599038127331836714616312273924222818750214626679157163539329590634914587427396014343641520606720047587449248821562496473111
  ( 143 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=238374791151267475667638647382887847013 (pp39)
 r2=43109605018575408648854020726186133527988347085935528901089943775031879035223884740987728777643420089547 (pp104)
Version: GGNFS-0.77.1-20050930-k8
Total time: 21.24 hours.
Scaled time: 19.28 units (timescale=0.908).
Factorization parameters were as follows:
n: 10276243092916545282599038127331836714616312273924222818750214626679157163539329590634914587427396014343641520606720047587449248821562496473111
m: 10000000000000000000000000000000
c5: 3
c0: 5
skew: 1.11
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 2500001)
Primes: RFBsize:216816, AFBsize:216596, largePrimes:5572811 encountered
Relations: rels:5543695, finalFF:566815
Max relations in full relation-set: 28
Initial matrix: 433477 x 566815 with sparse part having weight 42556585.
Pruned matrix : 338451 x 340682 with weight 26438100.
Total sieving time: 20.17 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.93 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 21.24 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.. 4671.62 BogoMIPS (lpj=2335810)
Calibrating delay using timer specific routine.. 4668.47 BogoMIPS (lpj=2334238)
Total of 2 processors activated (9340.09 BogoMIPS).
execution environment 実行環境
Core 2 Duo E6300@2.33GHz

6×10155+1

c152

name 名前Jo Yeong Uk
date 日付March 30, 2007 03:22:19 UTC 2007 年 3 月 30 日 (金) 12 時 22 分 19 秒 (日本時間)
composite number 合成数
38267746667517061037055934689712354104215830091204796224248995471649977677147777281714395050704764334460105874099113463868869188085974870846354997129919<152>
prime factors 素因数
5838172087029064235976796069<28>
6554747975404540742365128375128746950110811434716985062195497790142313250580415385937683038666601418715210100773572817781651<124>
factorization results 素因数分解の結果
GMP-ECM 6.1.1 [powered by GMP 4.1.4] [ECM]
Input number is 38267746667517061037055934689712354104215830091204796224248995471649977677147777281714395050704764334460105874099113463868869188085974870846354997129919 (152 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=273397416
Step 1 took 9488ms
Step 2 took 5412ms
********** Factor found in step 2: 5838172087029064235976796069
Found probable prime factor of 28 digits: 5838172087029064235976796069
Probable prime cofactor 6554747975404540742365128375128746950110811434716985062195497790142313250580415385937683038666601418715210100773572817781651 has 124 digits
execution environment 実行環境
Core 2 Duo E6300@2.33GHz

6×10157+1

c143

name 名前Robert Backstrom
date 日付April 19, 2007 04:14:39 UTC 2007 年 4 月 19 日 (木) 13 時 14 分 39 秒 (日本時間)
composite number 合成数
66326019939888731124137750913895090055834491742411539232321131200926135913206081132490874613518312074140366269836829752912617349628935239498267<143>
prime factors 素因数
72357737078330308558694680661590216271249223389638162975859539<62>
916640329258611436341178406620060063987449880780814068401233780150914565592579353<81>
factorization results 素因数分解の結果
Number: n
N=66326019939888731124137750913895090055834491742411539232321131200926135913206081132490874613518312074140366269836829752912617349628935239498267
  ( 143 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=72357737078330308558694680661590216271249223389638162975859539 (pp62)
 r2=916640329258611436341178406620060063987449880780814068401233780150914565592579353 (pp81)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 34.58 hours.
Scaled time: 41.32 units (timescale=1.195).
Factorization parameters were as follows:
name: KA_6_0_156_1
n: 66326019939888731124137750913895090055834491742411539232321131200926135913206081132490874613518312074140366269836829752912617349628935239498267
type: snfs
skew: 0.28
deg: 5
c5: 600
c0: 1
m: 10000000000000000000000000000000
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1400001)
Primes: RFBsize:216816, AFBsize:216936, largePrimes:6418969 encountered
Relations: rels:5891747, finalFF:502734
Max relations in full relation-set: 28
Initial matrix: 433818 x 502734 with sparse part having weight 28026248.
Pruned matrix : 370197 x 372430 with weight 16844017.
Total sieving time: 31.66 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.62 hours.
Total square root time: 0.08 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.3,2.3,100000
total time: 34.58 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

6×10159+1

c115

name 名前Jo Yeong Uk
date 日付June 1, 2007 23:37:42 UTC 2007 年 6 月 2 日 (土) 8 時 37 分 42 秒 (日本時間)
composite number 合成数
3185254078820957394944482467613194905363252982304778574592502158674083161302549598773054153266870437616423059879801<115>
prime factors 素因数
767698777607940194265527635370316671942213<42>
4149093592080265396266679279339449692918936093049417612900424150237843877<73>
factorization results 素因数分解の結果
Number: 60001_159
N=3185254078820957394944482467613194905363252982304778574592502158674083161302549598773054153266870437616423059879801
  ( 115 digits)
Divisors found:
 r1=767698777607940194265527635370316671942213 (pp42)
 r2=4149093592080265396266679279339449692918936093049417612900424150237843877 (pp73)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 25.89 hours.
Scaled time: 24.21 units (timescale=0.935).
Factorization parameters were as follows:
name: 60001_159
n: 3185254078820957394944482467613194905363252982304778574592502158674083161302549598773054153266870437616423059879801
skew: 86870.00
# norm 7.86e+15
c5: 15660
c4: -1829222984
c3: -350509230841283
c2: 14133342017277827226
c1: 1344214957431756103806100
c0: -9726381717437035313270182575
# alpha -6.19
Y1: 302713102769
Y0: -11525790758021234641354
# Murphy_E 5.34e-10
# M 2665950469727377697888113665250745839518931865279047301705509598646406265442718423335461565637984496738017255771107
type: gnfs
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 75000
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1800000, 3000001)
Primes: RFBsize:256726, AFBsize:256454, largePrimes:7476860 encountered
Relations: rels:7371207, finalFF:610629
Max relations in full relation-set: 28
Initial matrix: 513260 x 610629 with sparse part having weight 50672315.
Pruned matrix : 433032 x 435662 with weight 31832537.
Polynomial selection time: 1.33 hours.
Total sieving time: 23.09 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.18 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3600000,3600000,27,27,50,50,2.4,2.4,75000
total time: 25.89 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: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676)
Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148)
Total of 4 processors activated (19246.21 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

6×10160+1

c154

name 名前Robert Backstrom
date 日付June 10, 2007 02:01:06 UTC 2007 年 6 月 10 日 (日) 11 時 1 分 6 秒 (日本時間)
composite number 合成数
2885108765955793497955395545286278042836460061944246907992871665601660822478151672379743016630295863576285617689525078880075789883875814724662289604044307<154>
prime factors 素因数
27432596289301964073885280181487235430291<41>
105170824355437139403715973975995678497668642440971399521069843399452536718803322806044637013799975195072495150977<114>
factorization results 素因数分解の結果
Number: n
N=2885108765955793497955395545286278042836460061944246907992871665601660822478151672379743016630295863576285617689525078880075789883875814724662289604044307
  ( 154 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=27432596289301964073885280181487235430291 (pp41)
 r2=105170824355437139403715973975995678497668642440971399521069843399452536718803322806044637013799975195072495150977 (pp114)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 33.19 hours.
Scaled time: 45.33 units (timescale=1.366).
Factorization parameters were as follows:
name: KA_6_0_159_1
n: 2885108765955793497955395545286278042836460061944246907992871665601660822478151672379743016630295863576285617689525078880075789883875814724662289604044307
skew: 0.70
deg: 5
c5: 6
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, 1400001)
Primes: RFBsize:250150, AFBsize:250351, largePrimes:7044823 encountered
Relations: rels:6590876, finalFF:582384
Max relations in full relation-set: 28
Initial matrix: 500567 x 582384 with sparse part having weight 34717814.
Pruned matrix : 426273 x 428839 with weight 20692604.
Total sieving time: 29.74 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 2.86 hours.
Total square root time: 0.33 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 33.19 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

6×10162+1

c114

name 名前Jo Yeong Uk
date 日付May 8, 2007 16:31:19 UTC 2007 年 5 月 9 日 (水) 1 時 31 分 19 秒 (日本時間)
composite number 合成数
465860570289132470526766504662099277577757656808920530081522403634714863130373216991557016779244393574693715329151<114>
prime factors 素因数
2635929378062082616090181215642985097332592374330359<52>
176734845085883901472849673672121748213269636335439399849960889<63>
factorization results 素因数分解の結果
Number: 60001_162
N=465860570289132470526766504662099277577757656808920530081522403634714863130373216991557016779244393574693715329151
  ( 114 digits)
Divisors found:
 r1=2635929378062082616090181215642985097332592374330359 (pp52)
 r2=176734845085883901472849673672121748213269636335439399849960889 (pp63)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 25.27 hours.
Scaled time: 23.50 units (timescale=0.930).
Factorization parameters were as follows:
name: 60001_162
n: 465860570289132470526766504662099277577757656808920530081522403634714863130373216991557016779244393574693715329151
skew: 52979.34
# norm 6.29e+15
c5: 28800
c4: -4744474328
c3: -240924644592942
c2: 12887096438141057377
c1: 343182609850863365434888
c0: -2211251175528614193036100335
# alpha -6.42
Y1: 962944882867
Y0: -6946638145470387030218
# Murphy_E 6.24e-10
# M 422905541741467303181853397627552337882467775546056669673492939882919014769355778867593327900220590802340709537733
type: gnfs
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 75000
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1800000, 2925001)
Primes: RFBsize:256726, AFBsize:256259, largePrimes:7444354 encountered
Relations: rels:7318652, finalFF:599647
Max relations in full relation-set: 28
Initial matrix: 513063 x 599647 with sparse part having weight 48328634.
Pruned matrix : 441183 x 443812 with weight 30948811.
Total sieving time: 21.86 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 3.08 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3600000,3600000,27,27,50,50,2.4,2.4,75000
total time: 25.27 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: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676)
Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148)
Total of 4 processors activated (19246.21 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

6×10163+1

c158

name 名前Robert Backstrom
date 日付July 26, 2007 06:28:46 UTC 2007 年 7 月 26 日 (木) 15 時 28 分 46 秒 (日本時間)
composite number 合成数
26105309689464288588977555089817493429076006914426359749441237600521758122993426247931698067728485635335799124863001510192165535509094872351561945941994872047<158>
prime factors 素因数
5215147241069255739103596758994562191897609456843465301<55>
5005670690155230684429614037038784632521687552228111599112073609027731095334283017297356948767263632947<103>
factorization results 素因数分解の結果
Number: n
N=26105309689464288588977555089817493429076006914426359749441237600521758122993426247931698067728485635335799124863001510192165535509094872351561945941994872047
  ( 158 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=5215147241069255739103596758994562191897609456843465301 (pp55)
 r2=5005670690155230684429614037038784632521687552228111599112073609027731095334283017297356948767263632947 (pp103)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 63.28 hours.
Scaled time: 75.62 units (timescale=1.195).
Factorization parameters were as follows:
name: KA_6_0_162_1
n: 26105309689464288588977555089817493429076006914426359749441237600521758122993426247931698067728485635335799124863001510192165535509094872351561945941994872047
type: snfs
skew: 0.35
deg: 5
c5: 375
c0: 2
m: 200000000000000000000000000000000
rlim: 3600000
alim: 3600000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 2500001)
Primes: RFBsize:256726, AFBsize:256771, largePrimes:7311903 encountered
Relations: rels:6805144, finalFF:587598
Max relations in full relation-set: 28
Initial matrix: 513563 x 587598 with sparse part having weight 35738792.
Pruned matrix : 452305 x 454936 with weight 23525858.
Total sieving time: 57.84 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 5.04 hours.
Total square root time: 0.12 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,3600000,3600000,28,28,48,48,2.3,2.3,100000
total time: 63.28 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

6×10164+1

c129

name 名前Sinkiti Sibata
date 日付May 24, 2008 19:29:58 UTC 2008 年 5 月 25 日 (日) 4 時 29 分 58 秒 (日本時間)
composite number 合成数
713349312379305508790666689367172868406630219599967618257841050319008187812555276771966182501762848278868158748777307060785693761<129>
prime factors 素因数
369270152835869755547632504844697137215152321611<48>
1931781669601575696400721360944887567321529473091599594216511185010148045718575651<82>
factorization results 素因数分解の結果
Number: 60001_164
N=713349312379305508790666689367172868406630219599967618257841050319008187812555276771966182501762848278868158748777307060785693761
  ( 129 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=369270152835869755547632504844697137215152321611 (pp48)
 r2=1931781669601575696400721360944887567321529473091599594216511185010148045718575651 (pp82)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 109.83 hours.
Scaled time: 74.35 units (timescale=0.677).
Factorization parameters were as follows:
name: 60001_164
n: 713349312379305508790666689367172868406630219599967618257841050319008187812555276771966182501762848278868158748777307060785693761
m: 1000000000000000000000000000000000
c5: 3
c0: 5
skew: 1.11
type: snfs
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2500000, 5000001)
Primes: RFBsize:348513, AFBsize:347746, largePrimes:5774254 encountered
Relations: rels:5921824, finalFF:793765
Max relations in full relation-set: 28
Initial matrix: 696324 x 793765 with sparse part having weight 43434956.
Pruned matrix : 618590 x 622135 with weight 30984281.
Total sieving time: 93.90 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 15.32 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,48,48,2.5,2.5,100000
total time: 109.83 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

6×10165+1

c136

name 名前Sinkiti Sibata
date 日付August 13, 2008 08:12:02 UTC 2008 年 8 月 13 日 (水) 17 時 12 分 2 秒 (日本時間)
composite number 合成数
3831260982731617026109963484953683259170695517683951964059413219775587940296031765586309929215323885262414918355104547162842906990548323<136>
prime factors 素因数
12198214958645406697515956553865609339286480946779228031841<59>
314083740589948806536874133179020940182628645393194584520163117078481245780803<78>
factorization results 素因数分解の結果
Number: 60001_165
N=3831260982731617026109963484953683259170695517683951964059413219775587940296031765586309929215323885262414918355104547162842906990548323
  ( 136 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=12198214958645406697515956553865609339286480946779228031841 (pp59)
 r2=314083740589948806536874133179020940182628645393194584520163117078481245780803 (pp78)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 73.33 hours.
Scaled time: 73.92 units (timescale=1.008).
Factorization parameters were as follows:
name: 60001_165
n: 3831260982731617026109963484953683259170695517683951964059413219775587940296031765586309929215323885262414918355104547162842906990548323
m: 1000000000000000000000000000000000
c5: 6
c0: 1
skew: 0.7
type: snfs
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2500000, 5000001)
Primes: RFBsize:348513, AFBsize:348726, largePrimes:6213178 encountered
Relations: rels:6700823, finalFF:1088127
Max relations in full relation-set: 28
Initial matrix: 697305 x 1088127 with sparse part having weight 65822247.
Pruned matrix : 402300 x 405850 with weight 63363491.
Total sieving time: 71.21 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.94 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,48,48,2.5,2.5,100000
total time: 73.33 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 28, 2007 09:00:00 UTC 2007 年 3 月 28 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6904Jo Yeong UkJuly 24, 2008 07:45:58 UTC 2008 年 7 月 24 日 (木) 16 時 45 分 58 秒 (日本時間)

6×10167+1

c134

name 名前Robert Backstrom
date 日付October 3, 2008 01:52:48 UTC 2008 年 10 月 3 日 (金) 10 時 52 分 48 秒 (日本時間)
composite number 合成数
13753534238688584322143339202854565292590236731829919256769931192382804504625818230345229409471072118823813652385708513638874588208849<134>
prime factors 素因数
11344553699289079283476154821341898793<38>
1212346876153485600056159157453359594304541020922218903516315067388636750613885280058055706162793<97>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 13753534238688584322143339202854565292590236731829919256769931192382804504625818230345229409471072118823813652385708513638874588208849 (134 digits)
Using B1=5466000, B2=11416630690, polynomial Dickson(12), sigma=2706353897
Step 1 took 54142ms
Step 2 took 21534ms
********** Factor found in step 2: 11344553699289079283476154821341898793
Found probable prime factor of 38 digits: 11344553699289079283476154821341898793
Probable prime cofactor 1212346876153485600056159157453359594304541020922218903516315067388636750613885280058055706162793 has 97 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 28, 2007 09:00:00 UTC 2007 年 3 月 28 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6904Jo Yeong UkJuly 24, 2008 07:51:01 UTC 2008 年 7 月 24 日 (木) 16 時 51 分 1 秒 (日本時間)

6×10169+1

c163

name 名前matsui
date 日付May 30, 2008 09:20:29 UTC 2008 年 5 月 30 日 (金) 18 時 20 分 29 秒 (日本時間)
composite number 合成数
1027560174309142608757097293901442353677272223690396393496701814419515587240107125888332192941343217411815342435883798768712320331745747155358072952011347141492861<163>
prime factors 素因数
409692145250436913282056636020822590790365187<45>
2508127593417771961783639597835041387496768657625863183136324428934170806705227815812321776714203987196208985026667903<118>
factorization results 素因数分解の結果
N=1027560174309142608757097293901442353677272223690396393496701814419515587240107125888332192941343217411815342435883798768712320331745747155358072952011347141492861
  ( 163 digits)

SNFS difficulty: 170 digits.

Divisors found:

 r1=409692145250436913282056636020822590790365187 (pp45)

 r2=2508127593417771961783639597835041387496768657625863183136324428934170806705227815812321776714203987196208985026667903 (pp118)

Version: GGNFS-0.77.1-20060513-prescott

Total time: 153.02 hours.

Scaled time: 177.66 units (timescale=1.161).

Factorization parameters were as follows:

n: 1027560174309142608757097293901442353677272223690396393496701814419515587240107125888332192941343217411815342435883798768712320331745747155358072952011347141492861
m: 10000000000000000000000000000000000
c5: 3
c0: 5
skew: 1.11
type: snfs



Factor base limits: 6000000/6000000

Large primes per side: 3

Large prime bits: 27/27

Max factor residue bits: 48/48

Sieved algebraic special-q in [3000000, 7100001)

Primes: RFBsize:412849, AFBsize:412211, largePrimes:6020639 encountered

Relations: rels:6285070, finalFF:929842

Max relations in full relation-set: 28

Initial matrix: 825125 x 929842 with sparse part having weight 54766796.

Pruned matrix : 737962 x 742151 with weight 40674202.
Total sieving time: 140.47 hours.

Total relation processing time: 0.20 hours.

Matrix solve time: 12.05 hours.

Time per square root: 0.30 hours.
Prototype def-par.txt line would be:

snfs,170,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000

total time: 153.02 hours.

6×10171+1

c172

name 名前Jo Yeong Uk
date 日付April 22, 2007 00:58:20 UTC 2007 年 4 月 22 日 (日) 9 時 58 分 20 秒 (日本時間)
composite number 合成数
6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<172>
prime factors 素因数
154699561095803788960811837883435548718183965521<48>
38784854704818871237674570715604655076738950339421849949486353744053423298050903282396196418361477719330298221232535393256881<125>
factorization results 素因数分解の結果
Number: 60001_171
N=6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
  ( 172 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=154699561095803788960811837883435548718183965521 (pp48)
 r2=38784854704818871237674570715604655076738950339421849949486353744053423298050903282396196418361477719330298221232535393256881 (pp125)
Version: GGNFS-0.77.1-20050930-k8
Total time: 121.74 hours.
Scaled time: 109.20 units (timescale=0.897).
Factorization parameters were as follows:
n: 6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
m: 10000000000000000000000000000000000
c5: 60
c0: 1
skew: 1
type: snfs
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved algebraic special-q in [4200000, 8300001)
Primes: RFBsize:564877, AFBsize:563981, largePrimes:6631468 encountered
Relations: rels:7286289, finalFF:1293157
Max relations in full relation-set: 28
Initial matrix: 1128925 x 1293157 with sparse part having weight 57494928.
Pruned matrix : 980575 x 986283 with weight 39531468.
Total sieving time: 115.09 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 6.39 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,8400000,8400000,27,27,49,49,2.6,2.6,100000
total time: 121.74 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.. 4671.60 BogoMIPS (lpj=2335802)
Calibrating delay using timer specific routine.. 4668.49 BogoMIPS (lpj=2334246)
Total of 2 processors activated (9340.09 BogoMIPS).
execution environment 実行環境
Core 2 Duo E6300@2.33GHz

6×10175+1

c142

name 名前Nechaev Sergey
date 日付December 11, 2008 05:20:53 UTC 2008 年 12 月 11 日 (木) 14 時 20 分 53 秒 (日本時間)
composite number 合成数
3271674927454503946351778908731093597432135074118241825266750809997264745464837343269894562027727499605259733648083021004609399100642593226719<142>
prime factors 素因数
78834246190375597401811445588639063<35>
41500681309919383885445995508284685803042892144778268185725040022437427106594917277468373401274522948400313<107>
factorization results 素因数分解の結果
Wed Dec 10 22:56:36 2008  Msieve v. 1.39
Wed Dec 10 22:56:36 2008  random seeds: 37be8f74 a454187c
Wed Dec 10 22:56:36 2008  factoring 3271674927454503946351778908731093597432135074118241825266750809997264745464837343269894562027727499605259733648083021004609399100642593226719 (142 digits)
Wed Dec 10 22:56:41 2008  searching for 15-digit factors
Wed Dec 10 22:56:49 2008  searching for 20-digit factors
Wed Dec 10 22:58:23 2008  searching for 25-digit factors
Wed Dec 10 23:25:03 2008  searching for 30-digit factors
Thu Dec 11 02:28:30 2008  searching for 35-digit factors
Thu Dec 11 05:51:33 2008  ECM stage 2 factor found
Thu Dec 11 05:51:34 2008  prp35 factor: 78834246190375597401811445588639063
Thu Dec 11 05:51:34 2008  prp107 factor: 41500681309919383885445995508284685803042892144778268185725040022437427106594917277468373401274522948400313
Thu Dec 11 05:51:34 2008  elapsed time 06:54:58
software ソフトウェア
Msieve v. 1.39
execution environment 実行環境
Intel Celeron 1200 MHz, Windows XP 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 28, 2007 09:00:00 UTC 2007 年 3 月 28 日 (水) 18 時 0 分 0 秒 (日本時間)

6×10177+1

c169

name 名前Tyler Cadigan
date 日付July 7, 2009 02:46:49 UTC 2009 年 7 月 7 日 (火) 11 時 46 分 49 秒 (日本時間)
composite number 合成数
3504707651531425262270255585355766696758884857236110570939931569636832783008269352446726920609188774648263553487352543682321317037966912128660752496258837024694023499087<169>
prime factors 素因数
130909460131276140628552263669024355006100394847355624263188932213877563<72>
26771996829082488321535109586807695003489696065663320871538381541557110996579284791617298469559549<98>
factorization results 素因数分解の結果
Number: 60001_177
N=3504707651531425262270255585355766696758884857236110570939931569636832783008269352446726920609188774648263553487352543682321317037966912128660752496258837024694023499087
  ( 169 digits)
SNFS difficulty: 178 digits.
Divisors found:
 r1=130909460131276140628552263669024355006100394847355624263188932213877563 (pp72)
 r2=26771996829082488321535109586807695003489696065663320871538381541557110996579284791617298469559549 (pp98)
Version: Msieve v. 1.41
Total time: 97.06 hours.
Scaled time: 242.85 units (timescale=2.502).
Factorization parameters were as follows:
n: 3504707651531425262270255585355766696758884857236110570939931569636832783008269352446726920609188774648263553487352543682321317037966912128660752496258837024694023499087
m: 200000000000000000000000000000000000
deg: 5
c5: 75
c0: 4
skew: 0.56
type: snfs
lss: 1
rlim: 6600000
alim: 6600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 1000000
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, 7300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1080232 x 1080480
Total sieving time: 93.75 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 2.27 hours.
Time per square root: 0.77 hours.
Prototype def-par.txt line would be:
snfs,178.000,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,53,53,2.5,2.5,100000
total time: 97.06 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS and Msieve
execution environment 実行環境
C2Q Q6600 2.4 GHz, 3 Gb RAM, Windows Vista

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 28, 2007 09:00:00 UTC 2007 年 3 月 28 日 (水) 18 時 0 分 0 秒 (日本時間)
351e61206Max DettweilerApril 19, 2009 06:28:49 UTC 2009 年 4 月 19 日 (日) 15 時 28 分 49 秒 (日本時間)
403e62502Max DettweilerApril 19, 2009 21:20:46 UTC 2009 年 4 月 20 日 (月) 6 時 20 分 46 秒 (日本時間)

6×10180+1

c163

name 名前Tyler Cadigan
date 日付July 4, 2009 22:27:26 UTC 2009 年 7 月 5 日 (日) 7 時 27 分 26 秒 (日本時間)
composite number 合成数
2036180958583651599919324369895283334276379392748411313706838298632139875636431258517052429423184385967502888554627103436454845173306061562588430970166718470572477<163>
prime factors 素因数
77961257465282390200811842235367085099161175733216672157092688181205275825630537<80>
26117856802019915612096483598867398142659189050194588384216401897862531400938257621<83>
factorization results 素因数分解の結果
Number: 60001_180
N=2036180958583651599919324369895283334276379392748411313706838298632139875636431258517052429423184385967502888554627103436454845173306061562588430970166718470572477
  ( 163 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=77961257465282390200811842235367085099161175733216672157092688181205275825630537 (pp80)
 r2=26117856802019915612096483598867398142659189050194588384216401897862531400938257621 (pp83)
Version: Msieve v. 1.41
Total time: 143.05 hours.
Scaled time: 363.92 units (timescale=2.544).
Factorization parameters were as follows:
n: 2036180958583651599919324369895283334276379392748411313706838298632139875636431258517052429423184385967502888554627103436454845173306061562588430970166718470572477
m: 1000000000000000000000000000000000000
deg: 5
c5: 6
c0: 1
skew: 0.70
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 1000000
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3600000, 5600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 948967 x 949215
Total sieving time: 141.12 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 1.53 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,180.000,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,53,53,2.5,2.5,100000
total time: 143.05 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve
execution environment 実行環境
C2Q Q6600 2.40 GHz, 3 Gb RAM, Windows Vista

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 28, 2007 09:00:00 UTC 2007 年 3 月 28 日 (水) 18 時 0 分 0 秒 (日本時間)

6×10181+1

c147

name 名前Tyler Cadigan
date 日付July 1, 2009 15:22:32 UTC 2009 年 7 月 2 日 (木) 0 時 22 分 32 秒 (日本時間)
composite number 合成数
996304195760147997067562108673821534929496595129015951823604834209205894024502191944842412261659576950028689198887149061532283496510397260878954271<147>
prime factors 素因数
3221817407318169274057683443449767963151785037276817<52>
309236703947623304730799733324982576204663378968922310111028745418217199315661984343512735564463<96>
factorization results 素因数分解の結果
Number: 60001_181
N=996304195760147997067562108673821534929496595129015951823604834209205894024502191944842412261659576950028689198887149061532283496510397260878954271
  ( 147 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=3221817407318169274057683443449767963151785037276817 (pp52)
 r2=309236703947623304730799733324982576204663378968922310111028745418217199315661984343512735564463 (pp96)
Version: Msieve v. 1.41
Total time: 223.86 hours.
Scaled time: 573.97 units (timescale=2.564).
Factorization parameters were as follows:
n: 996304195760147997067562108673821534929496595129015951823604834209205894024502191944842412261659576950028689198887149061532283496510397260878954271
m: 2000000000000000000000000000000000000
deg: 5
c5: 15
c0: 8
skew: 0.88
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 1000000
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3900000, 6900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 851034 x 851282
Total sieving time: 221.71 hours.
Total relation processing time: 0.83 hours.
Matrix solve time: 1.22 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000
total time: 223.86 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve
execution environment 実行環境
C2Q Q6600 2.4GHz, 4 Gb RAM, Windows Vista

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 28, 2007 09:00:00 UTC 2007 年 3 月 28 日 (水) 18 時 0 分 0 秒 (日本時間)

6×10182+1

c170

name 名前Serge Batalov
date 日付February 13, 2009 07:15:33 UTC 2009 年 2 月 13 日 (金) 16 時 15 分 33 秒 (日本時間)
composite number 合成数
18391395823449372300575893180223312543185970054154952630352403989388712406544792922867043474269789628321139510554494097239501557913706825725190124681389399364840334287413<170>
prime factors 素因数
3697766213694124457129202150295765873<37>
4973650241959479991177377391777452977902057601073658068611396750923243720787211361706581622604893959178219884712767066984209658142981<133>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1250300280
Step 1 took 50747ms
Step 2 took 32902ms
********** Factor found in step 2: 3697766213694124457129202150295765873
Found probable prime factor of 37 digits: 3697766213694124457129202150295765873
Probable prime cofactor has 133 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 28, 2007 09:00:00 UTC 2007 年 3 月 28 日 (水) 18 時 0 分 0 秒 (日本時間)

6×10185+1

c139

name 名前Tyler Cadigan
date 日付June 23, 2009 18:22:30 UTC 2009 年 6 月 24 日 (水) 3 時 22 分 30 秒 (日本時間)
composite number 合成数
1987214777147857751405440882712878768498289240274665943254488411740605391914998115487412671203360049610514137987060572328808885079490819309<139>
prime factors 素因数
123251687544331276107061304469530687861827519667502885428574726923<66>
16123225707827282939353513239821935387962162632669892472730626095154698983<74>
factorization results 素因数分解の結果
Number: 60001_185
N=1987214777147857751405440882712878768498289240274665943254488411740605391914998115487412671203360049610514137987060572328808885079490819309
  ( 139 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=123251687544331276107061304469530687861827519667502885428574726923 (pp66)
 r2=16123225707827282939353513239821935387962162632669892472730626095154698983 (pp74)
Version: Msieve v. 1.41
Total time: 216.99 hours.
Scaled time: 550.28 units (timescale=2.536).
Factorization parameters were as follows:
n: 1987214777147857751405440882712878768498289240274665943254488411740605391914998115487412671203360049610514137987060572328808885079490819309
m: 10000000000000000000000000000000000000
deg: 5
c5: 6
c0: 1
skew: 0.70
type: snfs
lss: 1
rlim: 8700000
alim: 8700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 1000000
Factor base limits: 8700000/8700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4350000, 7350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1090015 x 1090262
Total sieving time: 213.24 hours.
Total relation processing time: 0.47 hours.
Matrix solve time: 2.48 hours.
Time per square root: 0.79 hours.
Prototype def-par.txt line would be:
snfs,185.000,5,0,0,0,0,0,0,0,0,8700000,8700000,28,28,54,54,2.5,2.5,100000
total time: 216.99 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve
execution environment 実行環境
C2Q Q6600 2.40 GHz, 4Gb RAM, Windows Vista

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 28, 2007 09:00:00 UTC 2007 年 3 月 28 日 (水) 18 時 0 分 0 秒 (日本時間)

6×10187+1

c185

name 名前Wataru Sakai
date 日付August 27, 2008 14:33:48 UTC 2008 年 8 月 27 日 (水) 23 時 33 分 48 秒 (日本時間)
composite number 合成数
13195513525401363536397624807565427754563448427534638223004178579283043765119859247855729052122278425335385968770617989883439630525621288761820980866505388168022872223444029030129755883<185>
prime factors 素因数
6536834037833420095985946925674276836560136508795702561667702266167<67>
2018639826103785865286631933082975605890545795355024440916114945745465813061205948102752034943266139296166842862791149<118>
factorization results 素因数分解の結果
Number: 60001_187
N=13195513525401363536397624807565427754563448427534638223004178579283043765119859247855729052122278425335385968770617989883439630525621288761820980866505388168022872223444029030129755883
  ( 185 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=6536834037833420095985946925674276836560136508795702561667702266167 (pp67)
 r2=2018639826103785865286631933082975605890545795355024440916114945745465813061205948102752034943266139296166842862791149 (pp118)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 777.86 hours.
Scaled time: 1561.95 units (timescale=2.008).
Factorization parameters were as follows:
n: 13195513525401363536397624807565427754563448427534638223004178579283043765119859247855729052122278425335385968770617989883439630525621288761820980866505388168022872223444029030129755883
m: 10000000000000000000000000000000000000
c5: 600
c0: 1
skew: 0.28
type: snfs
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3700000, 15700001)
Primes: RFBsize:501962, AFBsize:501791, largePrimes:6891187 encountered
Relations: rels:7436758, finalFF:1180022
Max relations in full relation-set: 32
Initial matrix: 1003819 x 1180022 with sparse part having weight 115293725.
Pruned matrix : 865389 x 870472 with weight 93704423.
Total sieving time: 768.45 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 9.03 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 777.86 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 KamadaMarch 28, 2007 09:00:00 UTC 2007 年 3 月 28 日 (水) 18 時 0 分 0 秒 (日本時間)

6×10189+1

c141

name 名前Serge Batalov
date 日付August 3, 2008 07:22:27 UTC 2008 年 8 月 3 日 (日) 16 時 22 分 27 秒 (日本時間)
composite number 合成数
226116596721129669353161163839591383306304015838586829280631938515080515921620701844268721510331973040782421730886603739756255404972504291723<141>
prime factors 素因数
174013302696433020274845304681<30>
18309085696764041534162136664724986762411<41>
70971393580825121102733841341176453634821357709829428898091709401554553<71>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=2803236752
Step 1 took 20722ms
Step 2 took 16429ms
********** Factor found in step 2: 174013302696433020274845304681
Found probable prime factor of 30 digits: 174013302696433020274845304681
Composite cofactor 1299421327090096537092650364554015119148292501873377738981166234391431318448786187635106425292624877709866307283 has 112 digits
#
# then Msieve/gnfs-112
#
Number: 60001_189
N=1299421327090096537092650364554015119148292501873377738981166234391431318448786187635106425292624877709866307283
  ( 112 digits)
Divisors found:
 r1=18309085696764041534162136664724986762411
 r2=70971393580825121102733841341176453634821357709829428898091709401554553
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.188).
Factorization parameters were as follows:
name: 60001_189
n: 1299421327090096537092650364554015119148292501873377738981166234391431318448786187635106425292624877709866307283
skew: 52578.04
# norm 2.72e+15
c5: 16440
c4: 1619746172
c3: -135511103262470
c2: -4014692173401370183
c1: 183805157963031787936530
c0: 1031049847200277256970651600
# alpha -5.96
Y1: 828435965947
Y0: -2396440646982282764377
# Murphy_E 7.97e-10
# M 1136488550539358265641494014969627028960530201153737973603644946454438107607609201185415837558953909792296923205
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 3550001)
Primes: rational ideals filtering, algebraic ideals filtering,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 437477 x 437725
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000

total time: 16.0 hours.
software ソフトウェア
GMP-ECM 6.2.1+Msieve+pol51select
execution environment 実行環境
Opteron-2.2GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 28, 2007 09:00:00 UTC 2007 年 3 月 28 日 (水) 18 時 0 分 0 秒 (日本時間)

6×10192+1

c179

name 名前Tyler Cadigan
date 日付May 13, 2009 14:59:30 UTC 2009 年 5 月 13 日 (水) 23 時 59 分 30 秒 (日本時間)
composite number 合成数
12575887987552449949026242858572851364527613573509060923551620410457482729565243389228910414519077788326664190901048863112517318053854082566295455325857182378946464323168683102623<179>
prime factors 素因数
2915419952598811618594940160413805922953111384734672751972710929408139<70>
4313576840393877505883357285400035595676725490320331778252232358628296531245916896568438767438261380374823357<109>
factorization results 素因数分解の結果
Number: 60001_192
N=12575887987552449949026242858572851364527613573509060923551620410457482729565243389228910414519077788326664190901048863112517318053854082566295455325857182378946464323168683102623
  ( 179 digits)
SNFS difficulty: 193 digits.
Divisors found:
 r1=2915419952598811618594940160413805922953111384734672751972710929408139 (pp70)
 r2=4313576840393877505883357285400035595676725490320331778252232358628296531245916896568438767438261380374823357 (pp109)
Version: Msieve-1.40
Total time: 386.28 hours.
Scaled time: 982.69 units (timescale=2.544).
Factorization parameters were as follows:
n: 12575887987552449949026242858572851364527613573509060923551620410457482729565243389228910414519077788326664190901048863112517318053854082566295455325857182378946464323168683102623
m: 200000000000000000000000000000000000000
deg: 5
c5: 75
c0: 4
skew: 0.56
type: snfs
lss: 1
rlim: 11700000
alim: 11700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 1000000
Factor base limits: 11700000/11700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5850000, 10850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1767676 x 1767924
Total sieving time: 378.49 hours.
Total relation processing time: 0.41 hours.
Matrix solve time: 7.10 hours.
Time per square root: 0.28 hours.
Prototype def-par.txt line would be:
snfs,193.000,5,0,0,0,0,0,0,0,0,11700000,11700000,28,28,55,55,2.5,2.5,100000
total time: 386.28 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve
execution environment 実行環境
C2Q Q6600 2.4 GHz, 4 GB RAM, Windows Vista

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 28, 2007 09:00:00 UTC 2007 年 3 月 28 日 (水) 18 時 0 分 0 秒 (日本時間)

6×10194+1

c165

name 名前Serge Batalov
date 日付July 13, 2008 08:08:34 UTC 2008 年 7 月 13 日 (日) 17 時 8 分 34 秒 (日本時間)
composite number 合成数
115129746971641793542911463217103313966126740198078933840748136010232224196946545534889348570888651811242621760987964836673810203771693535705331065188116952418798763<165>
prime factors 素因数
901361069267656452128353133474957<33>
composite cofactor 合成数の残り
127728776954149061732629779151943546510736581677373866290113899810994265965188567884730521444012921154476658141238516044262272295959<132>
factorization results 素因数分解の結果
Using B1=1000000, B2=5704990210, polynomial Dickson(6), sigma=3175350205
Step 1 took 8970ms
Step 2 took 9056ms
********** Factor found in step 2: 901361069267656452128353133474957
Found probable prime factor of 33 digits: 901361069267656452128353133474957
Composite cofactor 127728776954149061732629779151943546510736581677373866290113899810994265965188567884730521444012921154476658141238516044262272295959 has 132 digits
software ソフトウェア
GMP-ECM 6.2.1)

c132

name 名前Tyler Cadigan
date 日付April 26, 2009 22:38:18 UTC 2009 年 4 月 27 日 (月) 7 時 38 分 18 秒 (日本時間)
composite number 合成数
127728776954149061732629779151943546510736581677373866290113899810994265965188567884730521444012921154476658141238516044262272295959<132>
prime factors 素因数
266634767326292612283152421868647275640368024889323<51>
479040217579134298529209937599938953347103505261874490787658533513714122044192133<81>
factorization results 素因数分解の結果
Number: 60001_194
N=127728776954149061732629779151943546510736581677373866290113899810994265965188567884730521444012921154476658141238516044262272295959
  ( 132 digits)
Divisors found:
 r1=266634767326292612283152421868647275640368024889323 (pp51)
 r2=479040217579134298529209937599938953347103505261874490787658533513714122044192133 (pp81)
Version: Msieve-1.40
Total time: 172.66 hours.
Scaled time: 437.34 units (timescale=2.533).
Factorization parameters were as follows:
name: 60001_194
n: 127728776954149061732629779151943546510736581677373866290113899810994265965188567884730521444012921154476658141238516044262272295959
skew: 135621.62
# norm 3.35e+18
c5: 118440
c4: -198636398962
c3: -14944684265948103
c2: -3350417460951912749221
c1: 53455124993580901826489895
c0: 1773295866630335112183564218255
# alpha -6.78
Y1: 439575619875863
Y0: -16090222539693828700212894
# Murphy_E 6.47e-11
# M 59533760174489839394087245664387266171938052700247014464675137044353023313433652697868784876534862498628846968815646467114351145795
type: gnfs
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 1000000
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved algebraic special-q in [4000000, 11000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1368948 x 1369196
Total sieving time: 166.98 hours.
Total relation processing time: 0.38 hours.
Matrix solve time: 3.76 hours.
Time per square root: 1.54 hours.
Prototype def-par.txt line would be:
gnfs,131,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,8000000,8000000,28,28,55,55,2.5,2.5,100000
total time: 172.66 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
ggnfs, msieve
execution environment 実行環境
C2Q Q6600 2.4 GHz, 3 GB RAM, Windows Vista

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 28, 2007 09:00:00 UTC 2007 年 3 月 28 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6825Max DettweilerMarch 6, 2009 22:55:50 UTC 2009 年 3 月 7 日 (土) 7 時 55 分 50 秒 (日本時間)
403e62111255Max DettweilerMarch 7, 2009 02:47:31 UTC 2009 年 3 月 7 日 (土) 11 時 47 分 31 秒 (日本時間)
1856Wataru SakaiApril 20, 2009 13:06:45 UTC 2009 年 4 月 20 日 (月) 22 時 6 分 45 秒 (日本時間)

6×10195+1

c140

name 名前Tyler Cadigan
date 日付April 5, 2009 04:00:42 UTC 2009 年 4 月 5 日 (日) 13 時 0 分 42 秒 (日本時間)
composite number 合成数
17940529133815885800153881115863745792404754507504894161833210949988179704602632689155214043439581558442074568668317290243055511365952998997<140>
prime factors 素因数
154154162540960500400074342123380051113966965013<48>
116380439153233275654538630432091976492720690680968724771611953842197614880172185920433608769<93>
factorization results 素因数分解の結果
Number: 60001_195
N=17940529133815885800153881115863745792404754507504894161833210949988179704602632689155214043439581558442074568668317290243055511365952998997
  ( 140 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=154154162540960500400074342123380051113966965013 (pp48)
 r2=116380439153233275654538630432091976492720690680968724771611953842197614880172185920433608769 (pp93)
Version: Msieve-1.40
Total time: 357.78 hours.
Scaled time: 908.76 units (timescale=2.540).
Factorization parameters were as follows:
n: 17940529133815885800153881115863745792404754507504894161833210949988179704602632689155214043439581558442074568668317290243055511365952998997
m: 1000000000000000000000000000000000000000
deg: 5
c5: 6
c0: 1
skew: 0.70
type: snfs
lss: 1
rlim: 12800000
alim: 12800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 1000000
Factor base limits: 12800000/12800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6400000, 6400000)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2217430 x 2217678
Total sieving time: 343.89 hours.
Total relation processing time: 1.18 hours.
Matrix solve time: 12.41 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
snfs,195.000,5,0,0,0,0,0,0,0,0,12800000,12800000,28,28,55,55,2.5,2.5,100000
total time: 357.78 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve
execution environment 実行環境
C2Q Q6600 2.4 GHz, 3 Gb RAM, Windows vista

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 28, 2007 09:00:00 UTC 2007 年 3 月 28 日 (水) 18 時 0 分 0 秒 (日本時間)

6×10196+1

c197

name 名前Wataru Sakai
date 日付July 21, 2008 09:37:51 UTC 2008 年 7 月 21 日 (月) 18 時 37 分 51 秒 (日本時間)
composite number 合成数
60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<197>
prime factors 素因数
4526985911422555852980453461875447673693370404671619628486604463189<67>
13253851718117155717822280766012995701858464863771693748201984239161431357726436028994453405662098135543550990120795749232748691709<131>
factorization results 素因数分解の結果
Number: 60001_196
N=60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
  ( 197 digits)
SNFS difficulty: 196 digits.
Divisors found:
 r1=4526985911422555852980453461875447673693370404671619628486604463189 (pp67)
 r2=13253851718117155717822280766012995701858464863771693748201984239161431357726436028994453405662098135543550990120795749232748691709 (pp131)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 2601.57 hours.
Scaled time: 5190.14 units (timescale=1.995).
Factorization parameters were as follows:
n: 60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
m: 1000000000000000000000000000000000000000
c5: 60
c0: 1
skew: 0.44
type: snfsFactor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3700000, 43700001)
Primes: RFBsize:501962, AFBsize:501211, largePrimes:8270429 encountered
Relations: rels:9230838, finalFF:1133951
Max relations in full relation-set: 32
Initial matrix: 1003240 x 1133951 with sparse part having weight 191292090.
Pruned matrix : 927307 x 932387 with weight 174534450.
Total sieving time: 2581.77 hours.
Total relation processing time: 0.44 hours.
Matrix solve time: 19.00 hours.
Time per square root: 0.36 hours.
Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 2601.57 hours.
 --------- CPU info (if available) ----------

6×10198+1

c194

name 名前matsui
date 日付March 14, 2009 12:42:15 UTC 2009 年 3 月 14 日 (土) 21 時 42 分 15 秒 (日本時間)
composite number 合成数
12487330562533429624526782202223993573187203816128219910216093255384640999652435966009486208784004562038098845546289493784431212498985404391794158843007198946069300522178539689939582132294942423<194>
prime factors 素因数
1671913865053753682774008058984727775285847092318926307764219314568321887709471774615950144902657<97>
7468883908162308115227893005644186201669945225303700140432172123968956930897287431172882486068439<97>
factorization results 素因数分解の結果
N=12487330562533429624526782202223993573187203816128219910216093255384640999652435966009486208784004562038098845546289493784431212498985404391794158843007198946069300522178539689939582132294942423
  ( 194 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=1671913865053753682774008058984727775285847092318926307764219314568321887709471774615950144902657 (pp97)
 r2=7468883908162308115227893005644186201669945225303700140432172123968956930897287431172882486068439 (pp97)
Version: GGNFS-0.77.1-20060722-nocona

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 28, 2007 09:00:00 UTC 2007 年 3 月 28 日 (水) 18 時 0 分 0 秒 (日本時間)

6×10199+1

c139

name 名前Tyler Cadigan
date 日付July 10, 2008 13:04:31 UTC 2008 年 7 月 10 日 (木) 22 時 4 分 31 秒 (日本時間)
composite number 合成数
1021473256416313751511313085195015415741101216728868678354738007603336860446052672596356366452772363939729027082207007676223269169924007723<139>
prime factors 素因数
479403087032713635428088886452712241517044136079900092034489<60>
2130718979593492245520692728000484684740606068588764504461505725233767054216707<79>
factorization results 素因数分解の結果
Number: 60001_199
N=1021473256416313751511313085195015415741101216728868678354738007603336860446052672596356366452772363939729027082207007676223269169924007723
  ( 139 digits)
Divisors found:
 r1=479403087032713635428088886452712241517044136079900092034489
 r2=2130718979593492245520692728000484684740606068588764504461505725233767054216707
Version: 
Total time: 729.05 hours.
Scaled time: 1862.01 units (timescale=2.554).
Factorization parameters were as follows:
name: 60001_199
n: 1021473256416313751511313085195015415741101216728868678354738007603336860446052672596356366452772363939729027082207007676223269169924007723
skew: 280338.19
# norm 1.04e+019
c5: 252300
c4: 245677573930
c3: -164464139065339148
c2: -14892083660147997638066
c1: 2698421714535061042480987013
c0: 224570424633670708149720645350596
# alpha -5.52
Y1: 7549711331871863
Y0: -332246204352086047653102315
# Murphy_E 2.43e-011
# M 763279243787741847951479506369752047463195655372871890327270343578515699232362167261281075751089072705232087075956662908098373259288311939
type: gnfs
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
qintsize: 1000000
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved algebraic special-q in [2700000, 1
)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1293519 x 1293747
Total sieving time: 729.05 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,138,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,51,51,2.5,2.5,
total time: 729.05 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve
execution environment 実行環境
C2Q Q6600 2.40 Ghz, 4 GB RAM, Windows Vista

6×10200+1

c200

name 名前Serge Batalov
date 日付July 4, 2008 06:00:48 UTC 2008 年 7 月 4 日 (金) 15 時 0 分 48 秒 (日本時間)
composite number 合成数
20689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862069<200>
prime factors 素因数
367530286683762818311653969900003494345257271270268514080948164981978980653079960969<84>
56293742099725151227484967667076511849333661046901547637197489587498221199711228253147257513850471263698402737741901<116>
factorization results 素因数分解の結果
Number: 60001_200
N=20689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862069
  ( 200 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=367530286683762818311653969900003494345257271270268514080948164981978980653079960969 (p84)
 r2=56293742099725151227484967667076511849333661046901547637197489587498221199711228253147257513850471263698402737741901 (p116)

Version: Msieve v. 1.36
Total time: 13 CPU-days. (1 CPU)
Scaled time: 0.00 units (timescale=2.952).
Factorization parameters were as follows:
n: 20689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862069
Y1: 10000000000000000000000000000000000000000
Y0: -1
c0: 6
c5: 1
skew: 1
type: snfs
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
rlim: 15000000
alim: 15000000
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved rational special-q in [7500000, 13600001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3079496 x 3079744
Total sieving time: 12.5 days.
Matrix solve time: 53:07:51 hours.
Time per square root: 00:40:47 hours. (1st dependency!)
Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000

total time: 13 CPU-days.

 --------- CPU info (if available) ----------
Memory: 33030820k/34078720k available (1920k kernel code, 522988k reserved, 885k data, 196k init)
Calibrating delay using timer specific routine.. 5609.80 BogoMIPS (lpj=11219618)

 
Fri Jun 20 21:33:29 2008  Msieve v. 1.36
Fri Jun 20 21:33:29 2008  random seeds: 009edf2b 6d52626c
Fri Jun 20 21:33:29 2008  factoring 20689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862069 (200 digits)
Fri Jun 20 21:33:31 2008  no P-1/P+1/ECM available, skipping
Fri Jun 20 21:33:31 2008  commencing number field sieve (200-digit input)
Fri Jun 20 21:33:31 2008  R0: -1
Fri Jun 20 21:33:31 2008  R1:  10000000000000000000000000000000000000000
Fri Jun 20 21:33:31 2008  A0:  6
Fri Jun 20 21:33:31 2008  A1:  0
Fri Jun 20 21:33:31 2008  A2:  0
Fri Jun 20 21:33:31 2008  A3:  0
Fri Jun 20 21:33:31 2008  A4:  0
Fri Jun 20 21:33:31 2008  A5:  1
Fri Jun 20 21:33:31 2008  size score = 1.681569e-13, Murphy alpha = 0.815479, combined = 1.281333e-13
Fri Jun 20 21:33:31 2008  generating factor base
Fri Jun 20 21:33:38 2008  factor base complete:
Fri Jun 20 21:33:38 2008  970704 rational roots (max prime = 14999981)
Fri Jun 20 21:33:38 2008  969545 algebraic roots (max prime = 14999977)
...
...sieving...
...
Tue Jul  1 15:27:06 2008  filtering wants 125832 more relations
Tue Jul  1 15:27:06 2008  elapsed time 00:33:10
-> makeJobFile(): Adjusted to q0=13599901, q1=13600000.
->               client 1 q0: 13599901

Tue Jul  1 16:23:17 2008  
Tue Jul  1 16:23:17 2008  
Tue Jul  1 16:23:17 2008  Msieve v. 1.36
Tue Jul  1 16:23:17 2008  random seeds: 73293338 5ae60b30
Tue Jul  1 16:23:17 2008  factoring 20689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862069 (200 digits)
Tue Jul  1 16:23:19 2008  no P-1/P+1/ECM available, skipping
Tue Jul  1 16:23:19 2008  commencing number field sieve (200-digit input)
Tue Jul  1 16:23:19 2008  R0: -1
Tue Jul  1 16:23:19 2008  R1:  10000000000000000000000000000000000000000
Tue Jul  1 16:23:19 2008  A0:  6
Tue Jul  1 16:23:19 2008  A1:  0
Tue Jul  1 16:23:19 2008  A2:  0
Tue Jul  1 16:23:19 2008  A3:  0
Tue Jul  1 16:23:19 2008  A4:  0
Tue Jul  1 16:23:19 2008  A5:  1
Tue Jul  1 16:23:19 2008  size score = 1.681569e-13, Murphy alpha = 0.815479, combined = 1.281333e-13
Tue Jul  1 16:23:27 2008  restarting with 38716423 relations
Tue Jul  1 16:23:27 2008  
Tue Jul  1 16:23:27 2008  commencing relation filtering
Tue Jul  1 16:23:27 2008  commencing duplicate removal, pass 1
Tue Jul  1 16:23:28 2008  error -9 reading relation 1
Tue Jul  1 16:24:34 2008  error -9 reading relation 8560327
Tue Jul  1 16:28:26 2008  found 4666296 hash collisions in 38716421 relations
Tue Jul  1 16:28:26 2008  commencing duplicate removal, pass 2
Tue Jul  1 16:28:52 2008  found 2885930 duplicates and 35830491 unique relations
Tue Jul  1 16:28:52 2008  memory use: 153.2 MB
Tue Jul  1 16:28:58 2008  ignoring smallest 955332 rational and 954318 algebraic ideals
Tue Jul  1 16:28:58 2008  filtering rational ideals above 14745600
Tue Jul  1 16:28:58 2008  filtering algebraic ideals above 14745600
Tue Jul  1 16:28:58 2008  need 2864475 more relations than ideals
Tue Jul  1 16:28:58 2008  commencing singleton removal, pass 1
Tue Jul  1 16:33:56 2008  relations with 0 large ideals: 349980
Tue Jul  1 16:33:56 2008  relations with 1 large ideals: 2681713
Tue Jul  1 16:33:56 2008  relations with 2 large ideals: 9046027
Tue Jul  1 16:33:56 2008  relations with 3 large ideals: 14378910
Tue Jul  1 16:33:56 2008  relations with 4 large ideals: 9313993
Tue Jul  1 16:33:56 2008  relations with 5 large ideals: 59754
Tue Jul  1 16:33:56 2008  relations with 6 large ideals: 114
Tue Jul  1 16:33:56 2008  relations with 7+ large ideals: 0
Tue Jul  1 16:33:56 2008  35830491 relations and about 33000174 large ideals
Tue Jul  1 16:33:56 2008  commencing singleton removal, pass 2
Tue Jul  1 16:38:54 2008  found 12137340 singletons
Tue Jul  1 16:38:54 2008  current dataset: 23693151 relations and about 18987468 large ideals
Tue Jul  1 16:38:54 2008  commencing singleton removal, pass 3
Tue Jul  1 16:42:10 2008  found 2831933 singletons
Tue Jul  1 16:42:10 2008  current dataset: 20861218 relations and about 16012294 large ideals
Tue Jul  1 16:42:10 2008  commencing singleton removal, pass 4
Tue Jul  1 16:45:07 2008  found 760992 singletons
Tue Jul  1 16:45:07 2008  current dataset: 20100226 relations and about 15239442 large ideals
Tue Jul  1 16:45:07 2008  commencing singleton removal, pass 5
Tue Jul  1 16:47:59 2008  found 209746 singletons
Tue Jul  1 16:47:59 2008  current dataset: 19890480 relations and about 15028746 large ideals
Tue Jul  1 16:47:59 2008  commencing singleton removal, final pass
Tue Jul  1 16:51:43 2008  memory use: 352.2 MB
Tue Jul  1 16:51:44 2008  commencing in-memory singleton removal
Tue Jul  1 16:51:47 2008  begin with 19890480 relations and 18306064 unique ideals
Tue Jul  1 16:52:34 2008  reduce to 12514527 relations and 10463483 ideals in 21 passes
Tue Jul  1 16:52:34 2008  max relations containing the same ideal: 21
Tue Jul  1 16:52:37 2008  filtering rational ideals above 720000
Tue Jul  1 16:52:37 2008  filtering algebraic ideals above 720000
Tue Jul  1 16:52:37 2008  need 116191 more relations than ideals
Tue Jul  1 16:52:37 2008  commencing singleton removal, final pass
Tue Jul  1 16:55:59 2008  keeping 11195651 ideals with weight <= 20, new excess is 1177388
Tue Jul  1 16:56:11 2008  memory use: 355.6 MB
Tue Jul  1 16:56:11 2008  commencing in-memory singleton removal
Tue Jul  1 16:56:13 2008  begin with 12514528 relations and 11195651 unique ideals
Tue Jul  1 16:56:34 2008  reduce to 12511886 relations and 11193004 ideals in 9 passes
Tue Jul  1 16:56:34 2008  max relations containing the same ideal: 20
Tue Jul  1 16:56:47 2008  removing 287933 relations and 276056 ideals in 11878 cliques
Tue Jul  1 16:56:48 2008  commencing in-memory singleton removal
Tue Jul  1 16:56:50 2008  begin with 12223953 relations and 11193004 unique ideals
Tue Jul  1 16:57:13 2008  reduce to 12217820 relations and 10910803 ideals in 9 passes
Tue Jul  1 16:57:13 2008  max relations containing the same ideal: 20
Tue Jul  1 16:57:25 2008  removing 208850 relations and 196972 ideals in 11878 cliques
Tue Jul  1 16:57:25 2008  commencing in-memory singleton removal
Tue Jul  1 16:57:29 2008  begin with 12008970 relations and 10910803 unique ideals
Tue Jul  1 16:57:59 2008  reduce to 12005805 relations and 10710657 ideals in 11 passes
Tue Jul  1 16:57:59 2008  max relations containing the same ideal: 20
Tue Jul  1 16:58:02 2008  relations with 0 large ideals: 113697
Tue Jul  1 16:58:02 2008  relations with 1 large ideals: 770261
Tue Jul  1 16:58:02 2008  relations with 2 large ideals: 2472911
Tue Jul  1 16:58:02 2008  relations with 3 large ideals: 4030039
Tue Jul  1 16:58:02 2008  relations with 4 large ideals: 3306042
Tue Jul  1 16:58:02 2008  relations with 5 large ideals: 1129408
Tue Jul  1 16:58:02 2008  relations with 6 large ideals: 171106
Tue Jul  1 16:58:02 2008  relations with 7+ large ideals: 12341
Tue Jul  1 16:58:02 2008  commencing 2-way merge
Tue Jul  1 16:58:15 2008  reduce to 6550256 relation sets and 5255140 unique ideals
Tue Jul  1 16:58:15 2008  ignored 33 oversize relation sets
Tue Jul  1 16:58:15 2008  commencing full merge
Tue Jul  1 16:59:48 2008  memory use: 454.1 MB
Tue Jul  1 16:59:49 2008  found 3213687 cycles, need 3125340
Tue Jul  1 16:59:50 2008  weight of 3125340 cycles is about 219015996 (70.08/cycle)
Tue Jul  1 16:59:50 2008  distribution of cycle lengths:
Tue Jul  1 16:59:50 2008  1 relations: 425540
Tue Jul  1 16:59:50 2008  2 relations: 415093
Tue Jul  1 16:59:50 2008  3 relations: 401689
Tue Jul  1 16:59:50 2008  4 relations: 351498
Tue Jul  1 16:59:50 2008  5 relations: 288577
Tue Jul  1 16:59:50 2008  6 relations: 247431
Tue Jul  1 16:59:50 2008  7 relations: 201519
Tue Jul  1 16:59:50 2008  8 relations: 161059
Tue Jul  1 16:59:50 2008  9 relations: 129940
Tue Jul  1 16:59:50 2008  10+ relations: 502994
Tue Jul  1 16:59:50 2008  heaviest cycle: 22 relations
Tue Jul  1 16:59:51 2008  commencing cycle optimization
Tue Jul  1 17:00:03 2008  start with 17192621 relations
Tue Jul  1 17:00:44 2008  pruned 170374 relations
Tue Jul  1 17:00:44 2008  memory use: 619.4 MB
Tue Jul  1 17:00:45 2008  distribution of cycle lengths:
Tue Jul  1 17:00:45 2008  1 relations: 425540
Tue Jul  1 17:00:45 2008  2 relations: 418823
Tue Jul  1 17:00:45 2008  3 relations: 408212
Tue Jul  1 17:00:45 2008  4 relations: 354004
Tue Jul  1 17:00:45 2008  5 relations: 291359
Tue Jul  1 17:00:45 2008  6 relations: 247776
Tue Jul  1 17:00:45 2008  7 relations: 201337
Tue Jul  1 17:00:45 2008  8 relations: 160104
Tue Jul  1 17:00:45 2008  9 relations: 128766
Tue Jul  1 17:00:45 2008  10+ relations: 489419
Tue Jul  1 17:00:45 2008  heaviest cycle: 22 relations
Tue Jul  1 17:00:55 2008  elapsed time 00:37:38
Tue Jul  1 17:00:57 2008  
Tue Jul  1 17:00:57 2008  
Tue Jul  1 17:00:57 2008  Msieve v. 1.36
Tue Jul  1 17:00:57 2008  random seeds: 325f3526 08946e45
Tue Jul  1 17:00:57 2008  factoring 20689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862069 (200 digits)
Tue Jul  1 17:01:03 2008  no P-1/P+1/ECM available, skipping
Tue Jul  1 17:01:03 2008  commencing number field sieve (200-digit input)
Tue Jul  1 17:01:03 2008  R0: -1
Tue Jul  1 17:01:03 2008  R1:  10000000000000000000000000000000000000000
Tue Jul  1 17:01:03 2008  A0:  6
Tue Jul  1 17:01:03 2008  A1:  0
Tue Jul  1 17:01:03 2008  A2:  0
Tue Jul  1 17:01:03 2008  A3:  0
Tue Jul  1 17:01:03 2008  A4:  0
Tue Jul  1 17:01:03 2008  A5:  1
Tue Jul  1 17:01:03 2008  size score = 1.681569e-13, Murphy alpha = 0.815479, combined = 1.281333e-13
Tue Jul  1 17:01:03 2008  
Tue Jul  1 17:01:03 2008  commencing linear algebra
Tue Jul  1 17:01:08 2008  read 3125340 cycles
Tue Jul  1 17:01:28 2008  cycles contain 10751011 unique relations
Tue Jul  1 17:02:59 2008  read 10751011 relations
Tue Jul  1 17:03:27 2008  using 32 quadratic characters above 536868974
Tue Jul  1 17:05:31 2008  building initial matrix
Tue Jul  1 17:08:07 2008  memory use: 1308.9 MB
Tue Jul  1 17:08:10 2008  read 3125340 cycles
Tue Jul  1 17:08:13 2008  matrix is 3124507 x 3125340 (946.8 MB) with weight 299306570 (95.77/col)
Tue Jul  1 17:08:13 2008  sparse part has weight 213814726 (68.41/col)
Tue Jul  1 17:10:18 2008  filtering completed in 3 passes
Tue Jul  1 17:10:19 2008  matrix is 3079544 x 3079744 (939.5 MB) with weight 296593355 (96.30/col)
Tue Jul  1 17:10:19 2008  sparse part has weight 212416998 (68.97/col)
Tue Jul  1 17:10:58 2008  read 3079744 cycles
Tue Jul  1 17:11:01 2008  matrix is 3079544 x 3079744 (939.5 MB) with weight 296593355 (96.30/col)
Tue Jul  1 17:11:01 2008  sparse part has weight 212416998 (68.97/col)
Tue Jul  1 17:11:01 2008  saving the first 48 matrix rows for later
Tue Jul  1 17:11:03 2008  matrix is 3079496 x 3079744 (901.2 MB) with weight 229186974 (74.42/col)
Tue Jul  1 17:11:03 2008  sparse part has weight 205451830 (66.71/col)
Tue Jul  1 17:11:03 2008  matrix includes 64 packed rows
Tue Jul  1 17:11:03 2008  using block size 43690 for processor cache size 1024 kB
Tue Jul  1 17:11:22 2008  commencing Lanczos iteration
Tue Jul  1 17:11:22 2008  memory use: 866.0 MB
Thu Jul  3 22:08:36 2008  lanczos halted after 48705 iterations (dim = 3079494)
Thu Jul  3 22:08:48 2008  recovered 46 nontrivial dependencies
Thu Jul  3 22:08:48 2008  elapsed time 53:07:51
Thu Jul  3 22:08:48 2008  
Thu Jul  3 22:08:48 2008  
Thu Jul  3 22:08:48 2008  Msieve v. 1.36
Thu Jul  3 22:08:48 2008  random seeds: 93ca7f7c 9d776727
Thu Jul  3 22:08:48 2008  factoring 20689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862069 (200 digits)
Thu Jul  3 22:08:50 2008  no P-1/P+1/ECM available, skipping
Thu Jul  3 22:08:50 2008  commencing number field sieve (200-digit input)
Thu Jul  3 22:08:50 2008  R0: -1
Thu Jul  3 22:08:50 2008  R1:  10000000000000000000000000000000000000000
Thu Jul  3 22:08:50 2008  A0:  6
Thu Jul  3 22:08:50 2008  A1:  0
Thu Jul  3 22:08:50 2008  A2:  0
Thu Jul  3 22:08:50 2008  A3:  0
Thu Jul  3 22:08:50 2008  A4:  0
Thu Jul  3 22:08:50 2008  A5:  1
Thu Jul  3 22:08:50 2008  size score = 1.681569e-13, Murphy alpha = 0.815479, combined = 1.281333e-13
Thu Jul  3 22:08:50 2008  
Thu Jul  3 22:08:50 2008  commencing square root phase
Thu Jul  3 22:08:50 2008  reading relations for dependency 1
Thu Jul  3 22:08:50 2008  read 1538490 cycles
Thu Jul  3 22:08:57 2008  cycles contain 6386580 unique relations
Thu Jul  3 22:09:54 2008  read 6386580 relations
Thu Jul  3 22:10:51 2008  multiplying 8458902 relations
Thu Jul  3 22:25:40 2008  multiply complete, coefficients have about 201.64 million bits
Thu Jul  3 22:25:44 2008  initial square root is modulo 17227841
Thu Jul  3 22:49:35 2008  prp84 factor: 367530286683762818311653969900003494345257271270268514080948164981978980653079960969
Thu Jul  3 22:49:35 2008  prp116 factor: 56293742099725151227484967667076511849333661046901547637197489587498221199711228253147257513850471263698402737741901
Thu Jul  3 22:49:35 2008  elapsed time 00:40:47

total time: 13 CPU-days.
software ソフトウェア
Msieve 1.36
execution environment 実行環境
Opteron-2.8GHz; Linux x86_64

6×10201+1

c165

name 名前Daniel Morel
date 日付June 10, 2015 02:49:06 UTC 2015 年 6 月 10 日 (水) 11 時 49 分 6 秒 (日本時間)
composite number 合成数
370032030763500866243204824410096163913517901690874320541105290501403429925490770911824517315068142577691855327267645234200652535869076671404588204620450126849392253<165>
prime factors 素因数
564256026646829812845655621474346967186364866619<48>
13689148278628213736253934043379291331904196376743122587373<59>
47905644251948833734888937404536696715074656053242700517219<59>
factorization results 素因数分解の結果
polynomial = 15 X^5 + 8 ; m = 2*10^40
rlim = alim = 15000000
lpbr = lpba = 28
mfbr = mfba = 49
rlambda = alambda = 2.5
skew = 5
qintsize = 100000

Initial matrix: 1940531 x 2275991
Pruned  matrix: 1648173 x 1657939

time: 84 days 5 hours or so

p48 = 564256026646829812845655621474346967186364866619
p59 = 13689148278628213736253934043379291331904196376743122587373
p59 = 47905644251948833734888937404536696715074656053242700517219
software ソフトウェア
GGNFS-0.77.1
execution environment 実行環境
Windows 7 (AMD Athlon 2,7 GHz and Intel Core I5 3.2 GHz for matrix step)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 27, 2009 02:00:00 UTC 2009 年 4 月 27 日 (月) 11 時 0 分 0 秒 (日本時間)
351e660Rich DickersonDecember 18, 2010 02:49:48 UTC 2010 年 12 月 18 日 (土) 11 時 49 分 48 秒 (日本時間)
403e6500200Rich DickersonDecember 18, 2010 05:35:02 UTC 2010 年 12 月 18 日 (土) 14 時 35 分 2 秒 (日本時間)
300Dmitry DomanovMarch 11, 2011 17:13:25 UTC 2011 年 3 月 12 日 (土) 2 時 13 分 25 秒 (日本時間)
4511e6528Dmitry DomanovJune 16, 2011 16:38:45 UTC 2011 年 6 月 17 日 (金) 1 時 38 分 45 秒 (日本時間)
5043e61120560Dmitry DomanovOctober 21, 2011 22:42:28 UTC 2011 年 10 月 22 日 (土) 7 時 42 分 28 秒 (日本時間)
560Dmitry DomanovOctober 22, 2011 21:51:14 UTC 2011 年 10 月 23 日 (日) 6 時 51 分 14 秒 (日本時間)
5511e72625 / 17333yoyo@homeFebruary 7, 2012 12:30:18 UTC 2012 年 2 月 7 日 (火) 21 時 30 分 18 秒 (日本時間)

6×10202+1

c127

name 名前Wataru Sakai
date 日付April 29, 2009 03:14:59 UTC 2009 年 4 月 29 日 (水) 12 時 14 分 59 秒 (日本時間)
composite number 合成数
4680451265227841632417618509903766368501951470700106412943949808797123233418814446501141541808460618721980173291434570254091329<127>
prime factors 素因数
1664792180982452240067957261454638056603<40>
2811432753405739343413857814027793980466733704390188713337746638191403396481943299125843<88>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2090088941
Step 1 took 39950ms
Step 2 took 13878ms
********** Factor found in step 2: 1664792180982452240067957261454638056603
Found probable prime factor of 40 digits: 1664792180982452240067957261454638056603
Probable prime cofactor 2811432753405739343413857814027793980466733704390188713337746638191403396481943299125843 has 88 digits
software ソフトウェア
GMP-ECM 6.2.1 [powered by GMP 4.2.4]

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 27, 2009 02:00:00 UTC 2009 年 4 月 27 日 (月) 11 時 0 分 0 秒 (日本時間)

6×10203+1

c168

composite cofactor 合成数の残り
120932336311005545217438828723296762314979253137175536923058070093950074987740428648151640404375291883342041532643463387992645778112870514906506745223897415122959454469<168>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 27, 2009 02:00:00 UTC 2009 年 4 月 27 日 (月) 11 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovMarch 11, 2011 17:13:54 UTC 2011 年 3 月 12 日 (土) 2 時 13 分 54 秒 (日本時間)
4511e6600Dmitry DomanovJune 23, 2011 10:21:18 UTC 2011 年 6 月 23 日 (木) 19 時 21 分 18 秒 (日本時間)
5043e61120560Dmitry DomanovOctober 21, 2011 22:41:22 UTC 2011 年 10 月 22 日 (土) 7 時 41 分 22 秒 (日本時間)
560Dmitry DomanovOctober 22, 2011 21:51:53 UTC 2011 年 10 月 23 日 (日) 6 時 51 分 53 秒 (日本時間)
5511e72620 / 17330yoyo@homeFebruary 7, 2012 15:30:13 UTC 2012 年 2 月 8 日 (水) 0 時 30 分 13 秒 (日本時間)

6×10204+1

c149

composite cofactor 合成数の残り
61469376594875039285339745941562553088275938523221973444637371499240824867009628082697711902012802021710169239870884627641364181080164857616797060251<149>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 27, 2009 02:00:00 UTC 2009 年 4 月 27 日 (月) 11 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovMarch 11, 2011 17:14:16 UTC 2011 年 3 月 12 日 (土) 2 時 14 分 16 秒 (日本時間)
4511e6600Dmitry DomanovJune 16, 2011 21:51:40 UTC 2011 年 6 月 17 日 (金) 6 時 51 分 40 秒 (日本時間)
5043e61280 / 7407640Dmitry DomanovOctober 21, 2011 22:41:57 UTC 2011 年 10 月 22 日 (土) 7 時 41 分 57 秒 (日本時間)
640Dmitry DomanovOctober 22, 2011 21:52:23 UTC 2011 年 10 月 23 日 (日) 6 時 52 分 23 秒 (日本時間)

6×10205+1

c175

name 名前Andreas Tete
date 日付June 23, 2009 20:25:15 UTC 2009 年 6 月 24 日 (水) 5 時 25 分 15 秒 (日本時間)
composite number 合成数
1196761992473210764037779002208530264725308865327222973988280970724751543912589533467698432168101849315173297492016800742497111730715253593630030623171982646208134630353365333<175>
prime factors 素因数
52608200965763511019049070037321<32>
22748582359849985239621437062492301500654660877058842699222608390850103339364205134046046593760422318845790606886535630528076929599435895212973<143>
factorization results 素因数分解の結果
This factor is from Syd`s Database
52608200965763511019049070037321
software ソフトウェア
Syd`s Database workers

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 27, 2009 02:00:00 UTC 2009 年 4 月 27 日 (月) 11 時 0 分 0 秒 (日本時間)

6×10206+1

c196

composite cofactor 合成数の残り
2474553431574288530669443783559353284181479263246617180652420545039052014506919716133564757945814528582635726057474956448419781325594489783919704691885447005671549227755073481668599013567760077997<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 27, 2009 02:00:00 UTC 2009 年 4 月 27 日 (月) 11 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovMarch 11, 2011 17:14:41 UTC 2011 年 3 月 12 日 (土) 2 時 14 分 41 秒 (日本時間)
4511e6600Dmitry DomanovJune 24, 2011 23:14:09 UTC 2011 年 6 月 25 日 (土) 8 時 14 分 9 秒 (日本時間)
5043e61200400Dmitry DomanovOctober 20, 2011 22:57:04 UTC 2011 年 10 月 21 日 (金) 7 時 57 分 4 秒 (日本時間)
400Dmitry DomanovOctober 21, 2011 22:40:43 UTC 2011 年 10 月 22 日 (土) 7 時 40 分 43 秒 (日本時間)
400Dmitry DomanovOctober 22, 2011 21:52:54 UTC 2011 年 10 月 23 日 (日) 6 時 52 分 54 秒 (日本時間)
5511e72585 / 17301yoyo@homeFebruary 7, 2012 17:05:11 UTC 2012 年 2 月 8 日 (水) 2 時 5 分 11 秒 (日本時間)

6×10207+1

c185

name 名前Dmitry Domanov
date 日付October 21, 2011 06:34:46 UTC 2011 年 10 月 21 日 (金) 15 時 34 分 46 秒 (日本時間)
composite number 合成数
11686259011366675282064229282922467522532308274193536851094098021785120467938242399664859919292648868579917217213423380270982079329755959700632182215588747211179339800272307355440691377<185>
prime factors 素因数
79618697596892077071138483321192894737071<41>
146777821844486557389040483960612504449998876641972816252309655923845838222171851166658021925077821429691049478851087369411295798187375235312287<144>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3743416835
Step 1 took 333679ms
Step 2 took 88277ms
********** Factor found in step 2: 79618697596892077071138483321192894737071
Found probable prime factor of 41 digits: 79618697596892077071138483321192894737071
Probable prime cofactor 146777821844486557389040483960612504449998876641972816252309655923845838222171851166658021925077821429691049478851087369411295798187375235312287 has 144 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 27, 2009 02:00:00 UTC 2009 年 4 月 27 日 (月) 11 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovMarch 11, 2011 17:15:04 UTC 2011 年 3 月 12 日 (土) 2 時 15 分 4 秒 (日本時間)
4511e6600 / 3009Dmitry DomanovJune 22, 2011 18:10:37 UTC 2011 年 6 月 23 日 (木) 3 時 10 分 37 秒 (日本時間)
5043e6400 / 7407Dmitry DomanovOctober 20, 2011 22:58:37 UTC 2011 年 10 月 21 日 (金) 7 時 58 分 37 秒 (日本時間)

6×10208+1

c164

composite cofactor 合成数の残り
49896359055227933118610317314146247306293714743503905351208213773843602035116122826852286798123479165041143667670534060051856340657949231563840707868910418698998269<164>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 27, 2009 02:00:00 UTC 2009 年 4 月 27 日 (月) 11 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovMarch 11, 2011 17:15:23 UTC 2011 年 3 月 12 日 (土) 2 時 15 分 23 秒 (日本時間)
4511e6600Dmitry DomanovJune 23, 2011 21:20:10 UTC 2011 年 6 月 24 日 (金) 6 時 20 分 10 秒 (日本時間)
5043e61081480Dmitry DomanovOctober 20, 2011 22:59:08 UTC 2011 年 10 月 21 日 (金) 7 時 59 分 8 秒 (日本時間)
600Dmitry DomanovOctober 21, 2011 22:39:43 UTC 2011 年 10 月 22 日 (土) 7 時 39 分 43 秒 (日本時間)
1Dmitry DomanovOctober 27, 2011 13:30:48 UTC 2011 年 10 月 27 日 (木) 22 時 30 分 48 秒 (日本時間)
5511e72636 / 173421Dmitry DomanovOctober 27, 2011 13:30:37 UTC 2011 年 10 月 27 日 (木) 22 時 30 分 37 秒 (日本時間)
2635yoyo@homeFebruary 7, 2012 18:58:20 UTC 2012 年 2 月 8 日 (水) 3 時 58 分 20 秒 (日本時間)
6026e71 / 40885Dmitry DomanovOctober 27, 2011 13:30:37 UTC 2011 年 10 月 27 日 (木) 22 時 30 分 37 秒 (日本時間)

6×10209+1

c182

name 名前Dmitry Domanov
date 日付June 23, 2011 10:20:39 UTC 2011 年 6 月 23 日 (木) 19 時 20 分 39 秒 (日本時間)
composite number 合成数
41077468247368944358557432153685941196987877353662716934715409489454551431441906136158676071970220181923425927727737799760823398756710789431238077328685401820788646122634831233818447<182>
prime factors 素因数
78248562896776458346290111772194889535027<41>
524961312088981240761706813162724768225758601667592541510525842405874187614578364712638573542900687344493022787724045392478559560366855673461<141>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=368381219
Step 1 took 257784ms
********** Factor found in step 1: 78248562896776458346290111772194889535027
Found probable prime factor of 41 digits: 78248562896776458346290111772194889535027
Probable prime cofactor 524961312088981240761706813162724768225758601667592541510525842405874187614578364712638573542900687344493022787724045392478559560366855673461 has 141 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 27, 2009 02:00:00 UTC 2009 年 4 月 27 日 (月) 11 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovMarch 11, 2011 17:15:40 UTC 2011 年 3 月 12 日 (土) 2 時 15 分 40 秒 (日本時間)
4511e6600 / 4413Dmitry DomanovJune 22, 2011 18:09:52 UTC 2011 年 6 月 23 日 (木) 3 時 9 分 52 秒 (日本時間)

6×10210+1

c169

name 名前Jarekcz
date 日付February 9, 2012 04:48:08 UTC 2012 年 2 月 9 日 (木) 13 時 48 分 8 秒 (日本時間)
composite number 合成数
4216838447812894043128253803441876396871526134347856057609609801521074958959991772867555019628134559068888208195363318390278172857214030743818698418630284431739375751819<169>
prime factors 素因数
4827473644273332098647024801834676314904186877557<49>
composite cofactor 合成数の残り
873508331384716344548769634843880147532823907490640797551094442808688707245806790409481331162697694747404786049243661567<120>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 4216838447812894043128253803441876396871526134347856057609609801521074958959991772867555019628134559068888208195363318390278172857214030743818698418630284431739375751819 (169 digits)
[Wed Feb 08 18:37:35 2012]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=2789305117
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 273127ms
Using 21 small primes for NTT
Estimated memory usage: 615M
Initializing tables of differences for F took 187ms
Computing roots of F took 9157ms
Building F from its roots took 5304ms
Computing 1/F took 2153ms
Initializing table of differences for G took 156ms
Computing roots of G took 7707ms
Building G from its roots took 5226ms
Computing roots of G took 7722ms
Building G from its roots took 5288ms
Computing G * H took 1170ms
Reducing  G * H mod F took 1108ms
Computing roots of G took 7753ms
Building G from its roots took 5195ms
Computing G * H took 1155ms
Reducing  G * H mod F took 1138ms
Computing roots of G took 7691ms
Building G from its roots took 5164ms
Computing G * H took 1170ms
Reducing  G * H mod F took 1123ms
Computing polyeval(F,G) took 11653ms
Computing product of all F(g_i) took 47ms
Step 2 took 87516ms
********** Factor found in step 2: 4827473644273332098647024801834676314904186877557
Found probable prime factor of 49 digits: 4827473644273332098647024801834676314904186877557
Composite cofactor 873508331384716344548769634843880147532823907490640797551094442808688707245806790409481331162697694747404786049243661567 has 120 digits
software ソフトウェア
GMP-ECM

c120

name 名前Warut Roonguthai
date 日付February 11, 2012 20:45:24 UTC 2012 年 2 月 12 日 (日) 5 時 45 分 24 秒 (日本時間)
composite number 合成数
873508331384716344548769634843880147532823907490640797551094442808688707245806790409481331162697694747404786049243661567<120>
prime factors 素因数
112660341051730378022841041426578603660447154319481<51>
7753467841745894609952521327357873711653244823140906637011225288209207<70>
factorization results 素因数分解の結果
N = 873508331384716344548769634843880147532823907490640797551094442808688707245806790409481331162697694747404786049243661567 (120 digits)
Divisors found:
r1=112660341051730378022841041426578603660447154319481 (pp51)
r2=7753467841745894609952521327357873711653244823140906637011225288209207 (pp70)
Version: Msieve v. 1.48
Total time: 14.66 hours.
Factorization parameters were as follows:
n: 873508331384716344548769634843880147532823907490640797551094442808688707245806790409481331162697694747404786049243661567
Y0: -140831239670872118049164
Y1: 5741842437617
c0: -20906337590587955276897018769
c1: -192891991582499931318132
c2: 24218896094841733387
c3: 190008738770722
c4: -4070212416
c5: 15768
skew: 73003.76  
type: gnfs
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10567376
Relations: 1213308 relations
Pruned matrix : 699386 x 699614
Polynomial selection time: 0.00 hours.
Total sieving time: 14.01 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.56 hours.
time per square root: 0.04 hours.
Prototype def-par.txt line would be: gnfs,119,5,63,2000,2.6e-05,0.28,250,20,50000,3600,4200000,4200000,27,27,53,53,2.5,2.5,100000
total time: 14.66 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 27, 2009 02:00:00 UTC 2009 年 4 月 27 日 (月) 11 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovMarch 12, 2011 22:07:59 UTC 2011 年 3 月 13 日 (日) 7 時 7 分 59 秒 (日本時間)
4511e6600Dmitry DomanovJune 23, 2011 21:20:52 UTC 2011 年 6 月 24 日 (金) 6 時 20 分 52 秒 (日本時間)
5043e61120 / 3116560Dmitry DomanovOctober 16, 2011 21:56:32 UTC 2011 年 10 月 17 日 (月) 6 時 56 分 32 秒 (日本時間)
560Dmitry DomanovOctober 20, 2011 22:59:59 UTC 2011 年 10 月 21 日 (金) 7 時 59 分 59 秒 (日本時間)
5511e71780 / 17330yoyo@homeFebruary 7, 2012 20:21:49 UTC 2012 年 2 月 8 日 (水) 5 時 21 分 49 秒 (日本時間)

6×10212+1

c182

name 名前Luca Dentis
date 日付February 17, 2012 01:50:57 UTC 2012 年 2 月 17 日 (金) 10 時 50 分 57 秒 (日本時間)
composite number 合成数
19795327870342734440491175932154151984932233659234664309001536082851115969954311893094764672191185223211980135421688070183962793578055241434636922177159302445115351894994716339245649<182>
prime factors 素因数
71462050059312788558061849474665255505891120211095721<53>
277004757824786859739574561746447571367623701884925334566659905599249423169467669692331048224981488052053000278285698065610052969<129>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Running on iMac
Input number is 19795327870342734440491175932154151984932233659234664309001536082851115969954311893094764672191185223211980135421688070183962793578055241434636922177159302445115351894994716339245649 (182 digits)
[Wed Feb 15 10:03:34 2012]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1720472598
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
20        25      30      35      40      45      50      55      60      65
2       4       10      34      135     613     3133    17769   111196  751771
Step 1 took 3435150ms
Using 42 small primes for NTT
Estimated memory usage: 752M
Initializing tables of differences for F took 2136ms
Computing roots of F took 80925ms
Building F from its roots took 42371ms
Computing 1/F took 65136ms
Initializing table of differences for G took 1796ms
Computing roots of G took 68733ms
Building G from its roots took 42254ms
Computing roots of G took 68800ms
Building G from its roots took 42195ms
Computing G * H took 10417ms
Reducing  G * H mod F took 38046ms
Computing roots of G took 68880ms
Building G from its roots took 42279ms
Computing G * H took 10437ms
Reducing  G * H mod F took 38054ms
Computing roots of G took 68788ms
Building G from its roots took 42019ms
Computing G * H took 10441ms
Reducing  G * H mod F took 38038ms
Computing polyeval(F,G) took 170915ms
Computing product of all F(g_i) took 376ms
Step 2 took 953556ms
********** Factor found in step 2: 71462050059312788558061849474665255505891120211095721
Found probable prime factor of 53 digits: 71462050059312788558061849474665255505891120211095721
Probable prime cofactor 277004757824786859739574561746447571367623701884925334566659905599249423169467669692331048224981488052053000278285698065610052969 has 129 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
3025e4430Makoto KamadaApril 27, 2009 02:00:00 UTC 2009 年 4 月 27 日 (月) 11 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovMarch 11, 2011 17:16:06 UTC 2011 年 3 月 12 日 (土) 2 時 16 分 6 秒 (日本時間)
4511e6600Dmitry DomanovJune 20, 2011 22:02:39 UTC 2011 年 6 月 21 日 (火) 7 時 2 分 39 秒 (日本時間)
5043e61088 / 1742480Dmitry DomanovOctober 16, 2011 21:57:07 UTC 2011 年 10 月 17 日 (月) 6 時 57 分 7 秒 (日本時間)
480Dmitry DomanovOctober 20, 2011 23:00:39 UTC 2011 年 10 月 21 日 (金) 8 時 0 分 39 秒 (日本時間)
128Dmitry DomanovOctober 27, 2011 13:33:00 UTC 2011 年 10 月 27 日 (木) 22 時 33 分 0 秒 (日本時間)
5511e72350 / 17341yoyo@homeFebruary 12, 2012 22:17:27 UTC 2012 年 2 月 13 日 (月) 7 時 17 分 27 秒 (日本時間)

6×10213+1

c211

name 名前Dmitry Domanov
date 日付June 29, 2009 12:01:22 UTC 2009 年 6 月 29 日 (月) 21 時 1 分 22 秒 (日本時間)
composite number 合成数
6764374295377677564825253664036076662908680947012401352874859075535512965050732807215332581736189402480270574971815107102593010146561443066516347237880496054114994363021420518602029312288613303269447576099210823<211>
prime factors 素因数
710379914267074902446340727571899<33>
composite cofactor 合成数の残り
9522192505057989196554921686963471449090843139265281936834912784663455668678513277670521436604345942154664018593294330166634222414359055518446450597428054285995444333986164085477<178>
factorization results 素因数分解の結果
C211=P133*C178
C211=710379914267074902446340727571899<33>*9522192505057989196554921686963471449090843139265281936834912784663455668678513277670521436604345942154664018593294330166634222414359055518446450597428054285995444333986164085477<178>
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 27, 2009 02:00:00 UTC 2009 年 4 月 27 日 (月) 11 時 0 分 0 秒 (日本時間)
351e6850250Andreas TeteMay 25, 2009 18:36:21 UTC 2009 年 5 月 26 日 (火) 3 時 36 分 21 秒 (日本時間)
600Dmitry DomanovJune 29, 2009 12:00:01 UTC 2009 年 6 月 29 日 (月) 21 時 0 分 1 秒 (日本時間)
403e60--
4511e6620Dmitry DomanovJune 21, 2011 23:22:42 UTC 2011 年 6 月 22 日 (水) 8 時 22 分 42 秒 (日本時間)
5043e61088480Dmitry DomanovOctober 16, 2011 21:57:36 UTC 2011 年 10 月 17 日 (月) 6 時 57 分 36 秒 (日本時間)
480Dmitry DomanovOctober 18, 2011 22:24:53 UTC 2011 年 10 月 19 日 (水) 7 時 24 分 53 秒 (日本時間)
128Dmitry DomanovOctober 27, 2011 13:33:35 UTC 2011 年 10 月 27 日 (木) 22 時 33 分 35 秒 (日本時間)
5511e72636 / 173421Dmitry DomanovOctober 27, 2011 13:33:35 UTC 2011 年 10 月 27 日 (木) 22 時 33 分 35 秒 (日本時間)
2635yoyo@homeFebruary 13, 2012 02:52:04 UTC 2012 年 2 月 13 日 (月) 11 時 52 分 4 秒 (日本時間)

6×10215+1

c193

name 名前Dmitry Domanov
date 日付October 17, 2011 06:48:57 UTC 2011 年 10 月 17 日 (月) 15 時 48 分 57 秒 (日本時間)
composite number 合成数
3000837797455254759302895888907178970204791149105462707817256672494832834313048569516896392998970467205350434794470351886251697694259408865244248156875652321067759334291940435673009544143681367<193>
prime factors 素因数
130348155258427691832199143115088842224118243369<48>
23021712823674463610604725762720121163464475786421833593613070410954740853473218308017685931816166156557222385360810464398466464467405038012828543<146>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1829096944
Step 1 took 347943ms
Step 2 took 90915ms
********** Factor found in step 2: 130348155258427691832199143115088842224118243369
Found probable prime factor of 48 digits: 130348155258427691832199143115088842224118243369
Probable prime cofactor 23021712823674463610604725762720121163464475786421833593613070410954740853473218308017685931816166156557222385360810464398466464467405038012828543 has 146 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 27, 2009 02:00:00 UTC 2009 年 4 月 27 日 (月) 11 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovMarch 11, 2011 17:16:52 UTC 2011 年 3 月 12 日 (土) 2 時 16 分 52 秒 (日本時間)
4511e6600 / 2729Dmitry DomanovJune 20, 2011 22:02:02 UTC 2011 年 6 月 21 日 (火) 7 時 2 分 2 秒 (日本時間)
5043e6480 / 7407Dmitry DomanovOctober 16, 2011 21:58:02 UTC 2011 年 10 月 17 日 (月) 6 時 58 分 2 秒 (日本時間)

6×10216+1

c193

name 名前Serge Batalov
date 日付April 27, 2009 05:09:23 UTC 2009 年 4 月 27 日 (月) 14 時 9 分 23 秒 (日本時間)
composite number 合成数
7402123848272121722730460932050481730728522680022929840362265620494206701653862364557934268677382002151321998228916242257066297362757114940640318974714280857618034782579444133106932413088140429<193>
prime factors 素因数
75489457323208605217787830670233307<35>
composite cofactor 合成数の残り
98055067697465091816689131698585149675657995487502821941906044701157348721437441754279639798790119281752053294533196233210198961184141683435508604336743525047<158>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=1144671962
Step 1 took 16225ms
********** Factor found in step 1: 75489457323208605217787830670233307
Found probable prime factor of 35 digits: 75489457323208605217787830670233307
Composite cofactor has 158 digits
software ソフトウェア
GMP-ECM 6.2.2

c158

name 名前Dmitry Domanov
date 日付June 22, 2011 11:46:03 UTC 2011 年 6 月 22 日 (水) 20 時 46 分 3 秒 (日本時間)
composite number 合成数
98055067697465091816689131698585149675657995487502821941906044701157348721437441754279639798790119281752053294533196233210198961184141683435508604336743525047<158>
prime factors 素因数
83978197266462101076064089967720589<35>
composite cofactor 合成数の残り
1167625299056339603963743204213947744938039146956269988562691879646686019461713610417835941035486195937687585020342722013523<124>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=862339009
Step 1 took 220608ms
Step 2 took 131711ms
********** Factor found in step 2: 83978197266462101076064089967720589
Found probable prime factor of 35 digits: 83978197266462101076064089967720589
Composite cofactor 1167625299056339603963743204213947744938039146956269988562691879646686019461713610417835941035486195937687585020342722013523 has 124 digits

c124

name 名前Warut Roonguthai
date 日付June 24, 2011 20:02:05 UTC 2011 年 6 月 25 日 (土) 5 時 2 分 5 秒 (日本時間)
composite number 合成数
1167625299056339603963743204213947744938039146956269988562691879646686019461713610417835941035486195937687585020342722013523<124>
prime factors 素因数
11134874088796811548989085386956025402377404670627767<53>
104862011886701842859867678154061045329791078617618960948431616167852869<72>
factorization results 素因数分解の結果
N = 1167625299056339603963743204213947744938039146956269988562691879646686019461713610417835941035486195937687585020342722013523 (124 digits)
Divisors found:
r1=11134874088796811548989085386956025402377404670627767 (pp53)
r2=104862011886701842859867678154061045329791078617618960948431616167852869 (pp72)
Version: Msieve v. 1.47
Total time: 21.44 hours.
Factorization parameters were as follows:
n: 1167625299056339603963743204213947744938039146956269988562691879646686019461713610417835941035486195937687585020342722013523
Y0: -767656817692541152551170
Y1: 11349155061719
c0: -17818831980388049976486324466263
c1: 450897009667522770219055938
c2: 1023219059082869370094
c3: -9391078203172393
c4: -4209353996
c5: 4380
skew: 506925.83 
type: gnfs
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10831988
Relations: 1684436 relations
Pruned matrix : 944227 x 944461
Polynomial selection time: 0.00 hours.
Total sieving time: 19.63 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 1.65 hours.
time per square root: 0.08 hours.
Prototype def-par.txt line would be: gnfs,123,5,65,2000,1e-05,0.28,250,20,50000,3600,5200000,5200000,27,27,53,53,2.5,2.5,100000
total time: 21.44 hours.
Intel64 Family 6 Model 37 Stepping 5, GenuineIntel
Windows-7-6.1.7600
processors: 4, speed: 2.53GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 27, 2009 02:00:00 UTC 2009 年 4 月 27 日 (月) 11 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovMarch 11, 2011 17:17:06 UTC 2011 年 3 月 12 日 (土) 2 時 17 分 6 秒 (日本時間)
4511e6600 / 4413Dmitry DomanovJune 21, 2011 23:23:03 UTC 2011 年 6 月 22 日 (水) 8 時 23 分 3 秒 (日本時間)

6×10217+1

c195

composite cofactor 合成数の残り
127828853422059537003472317965694266321463860425142827561508522098008664069098486916507550465809801978757093612412749321256468501907725458430073251293462025007845075292622242824462589338838792231<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 27, 2009 02:00:00 UTC 2009 年 4 月 27 日 (月) 11 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovMarch 11, 2011 17:17:34 UTC 2011 年 3 月 12 日 (土) 2 時 17 分 34 秒 (日本時間)
4511e6600Dmitry DomanovJune 19, 2011 22:19:26 UTC 2011 年 6 月 20 日 (月) 7 時 19 分 26 秒 (日本時間)
5043e61120880Dmitry DomanovOctober 17, 2011 22:21:15 UTC 2011 年 10 月 18 日 (火) 7 時 21 分 15 秒 (日本時間)
240Dmitry DomanovOctober 27, 2011 13:34:28 UTC 2011 年 10 月 27 日 (木) 22 時 34 分 28 秒 (日本時間)
5511e72620 / 17330yoyo@homeFebruary 13, 2012 06:37:28 UTC 2012 年 2 月 13 日 (月) 15 時 37 分 28 秒 (日本時間)

6×10218+1

c198

composite cofactor 合成数の残り
230972571308791767079660398588940172682674244652603150512637261643251127081200372333147802374543750072565549539549438844421098731540456164788424191023126992805869669114418432392670388290991549245687<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 27, 2009 02:00:00 UTC 2009 年 4 月 27 日 (月) 11 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovMarch 11, 2011 17:17:59 UTC 2011 年 3 月 12 日 (土) 2 時 17 分 59 秒 (日本時間)
4511e6600Dmitry DomanovJune 19, 2011 22:18:41 UTC 2011 年 6 月 20 日 (月) 7 時 18 分 41 秒 (日本時間)
5043e61100400Dmitry DomanovOctober 16, 2011 22:08:43 UTC 2011 年 10 月 17 日 (月) 7 時 8 分 43 秒 (日本時間)
400Dmitry DomanovOctober 17, 2011 22:20:42 UTC 2011 年 10 月 18 日 (火) 7 時 20 分 42 秒 (日本時間)
300Dmitry DomanovOctober 27, 2011 13:35:04 UTC 2011 年 10 月 27 日 (木) 22 時 35 分 4 秒 (日本時間)
5511e72630 / 17337yoyo@homeFebruary 13, 2012 10:00:11 UTC 2012 年 2 月 13 日 (月) 19 時 0 分 11 秒 (日本時間)

6×10219+1

c208

name 名前Dmitry Domanov
date 日付October 18, 2011 06:36:35 UTC 2011 年 10 月 18 日 (火) 15 時 36 分 35 秒 (日本時間)
composite number 合成数
3329284568741883849329248561820135292713396806089809264282517293355397883298194704638694061185387085520447921621073530526630568760945791311109261249172330536294778053245648091466321620990214514440889369239557<208>
prime factors 素因数
494973402126704928209657394401416382082437<42>
composite cofactor 合成数の残り
6726188830424553957034050930323117633464279117529765442480040261457293421363839323101511248843846029484797845424675131183704410465632954687105721729614190663095365761<166>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2881583422
Step 1 took 405824ms
Step 2 took 101516ms
********** Factor found in step 2: 494973402126704928209657394401416382082437
Found probable prime factor of 42 digits: 494973402126704928209657394401416382082437
Composite cofactor 6726188830424553957034050930323117633464279117529765442480040261457293421363839323101511248843846029484797845424675131183704410465632954687105721729614190663095365761 has 166 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 27, 2009 02:00:00 UTC 2009 年 4 月 27 日 (月) 11 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovMarch 11, 2011 17:18:23 UTC 2011 年 3 月 12 日 (土) 2 時 18 分 23 秒 (日本時間)
4511e6600Dmitry DomanovJune 17, 2011 23:02:59 UTC 2011 年 6 月 18 日 (土) 8 時 2 分 59 秒 (日本時間)
5043e61100800Dmitry DomanovOctober 17, 2011 22:19:51 UTC 2011 年 10 月 18 日 (火) 7 時 19 分 51 秒 (日本時間)
300Dmitry DomanovOctober 27, 2011 13:36:01 UTC 2011 年 10 月 27 日 (木) 22 時 36 分 1 秒 (日本時間)
5511e72630 / 17337yoyo@homeFebruary 16, 2012 18:58:35 UTC 2012 年 2 月 17 日 (金) 3 時 58 分 35 秒 (日本時間)

6×10220+1

c179

name 名前Liuqyn
date 日付February 17, 2012 12:41:23 UTC 2012 年 2 月 17 日 (金) 21 時 41 分 23 秒 (日本時間)
composite number 合成数
35428483908816629828958397188302072431300847301169515002641905635177535469410434721155948982092506152180509155902227143559666476099323541780149872568629762727659609509056829388003<179>
prime factors 素因数
47608461509345259544598383222613395095037977779<47>
744163595831850770524650122231893527065008676611309268372786950965724605002909874364184528641303749037408203154616808217304514717457<132>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 35428483908816629828958397188302072431300847301169515002641905635177535469410434721155948982092506152180509155902227143559666476099323541780149872568629762727659609509056829388003 (179 digits)
[Fri Feb 17 05:38:53 2012]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=2561761274
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 509889ms
Using 22 small primes for NTT
Estimated memory usage: 664M
Initializing tables of differences for F took 312ms
Computing roots of F took 16412ms
Building F from its roots took 10109ms
Computing 1/F took 3245ms
Initializing table of differences for G took 312ms
Computing roots of G took 13790ms
Building G from its roots took 10452ms
Computing roots of G took 14087ms
Building G from its roots took 10374ms
Computing G * H took 1950ms
Reducing  G * H mod F took 1888ms
Computing roots of G took 13650ms
Building G from its roots took 10452ms
Computing G * H took 1888ms
Reducing  G * H mod F took 1872ms
Computing roots of G took 13728ms
Building G from its roots took 9999ms
Computing G * H took 1888ms
Reducing  G * H mod F took 1903ms
Computing polyeval(F,G) took 21356ms
Computing product of all F(g_i) took 78ms
Step 2 took 160260ms
********** Factor found in step 2: 47608461509345259544598383222613395095037977779
Found probable prime factor of 47 digits: 47608461509345259544598383222613395095037977779
Probable prime cofactor 744163595831850770524650122231893527065008676611309268372786950965724605002909874364184528641303749037408203154616808217304514717457 has 132 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
3025e4430Makoto KamadaApril 27, 2009 02:00:00 UTC 2009 年 4 月 27 日 (月) 11 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovMarch 11, 2011 17:18:56 UTC 2011 年 3 月 12 日 (土) 2 時 18 分 56 秒 (日本時間)
4511e6600Dmitry DomanovJune 17, 2011 23:03:53 UTC 2011 年 6 月 18 日 (土) 8 時 3 分 53 秒 (日本時間)
5043e61100 / 5322520Dmitry DomanovOctober 10, 2011 22:39:02 UTC 2011 年 10 月 11 日 (火) 7 時 39 分 2 秒 (日本時間)
480Dmitry DomanovOctober 16, 2011 22:09:51 UTC 2011 年 10 月 17 日 (月) 7 時 9 分 51 秒 (日本時間)
100Dmitry DomanovOctober 27, 2011 13:38:59 UTC 2011 年 10 月 27 日 (木) 22 時 38 分 59 秒 (日本時間)
5511e7865 / 17337yoyo@homeFebruary 16, 2012 22:48:01 UTC 2012 年 2 月 17 日 (金) 7 時 48 分 1 秒 (日本時間)

6×10221+1

c119

name 名前Sinkiti Sibata
date 日付May 1, 2009 10:57:26 UTC 2009 年 5 月 1 日 (金) 19 時 57 分 26 秒 (日本時間)
composite number 合成数
15559343020387713952218299826631328238166893662896524746348459508722856699246398061388342322531961826952273576646437423<119>
prime factors 素因数
2106663983424484976725368044339228518607232620507<49>
7385773499148755352472981597178105724655405297506528416547206510108989<70>
factorization results 素因数分解の結果
Number: 60001_221
N=15559343020387713952218299826631328238166893662896524746348459508722856699246398061388342322531961826952273576646437423
  ( 119 digits)
Divisors found:
 r1=2106663983424484976725368044339228518607232620507 (pp49)
 r2=7385773499148755352472981597178105724655405297506528416547206510108989 (pp70)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 88.83 hours.
Scaled time: 39.53 units (timescale=0.445).
Factorization parameters were as follows:
name: 60001_221
n: 15559343020387713952218299826631328238166893662896524746348459508722856699246398061388342322531961826952273576646437423
skew: 47990.39
# norm 2.62e+16
c5: 16560
c4: -4985358464
c3: 805612048914044
c2: 8728007815337305705
c1: -411350596078124939640396
c0: -4656088059625115819178313041
# alpha -6.23
Y1: 4091161783709
Y0: -62314325905034135682686
# Murphy_E 3.66e-10
# M 11870999316973983964274864036355129279554903974482653755267250922085510449071424316612954275416595953497035109209784499
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, 4110001)
Primes: RFBsize:315948, AFBsize:315821, largePrimes:7697648 encountered
Relations: rels:7814114, finalFF:784249
Max relations in full relation-set: 28
Initial matrix: 631851 x 784249 with sparse part having weight 67572986.
Pruned matrix : 504602 x 507825 with weight 41609053.
Total sieving time: 75.34 hours.
Total relation processing time: 0.91 hours.
Matrix solve time: 12.09 hours.
Time per square root: 0.49 hours.
Prototype def-par.txt line would be:
gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000
total time: 88.83 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 27, 2009 02:00:00 UTC 2009 年 4 月 27 日 (月) 11 時 0 分 0 秒 (日本時間)

6×10222+1

c192

composite cofactor 合成数の残り
144038444453453329574500213335144414500762145327079867935224833493301308448860309970418483001096065719783607979333452602014533516564320416462824684134685434787889528135769064809669572762597881<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 27, 2009 02:00:00 UTC 2009 年 4 月 27 日 (月) 11 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovMarch 11, 2011 17:19:19 UTC 2011 年 3 月 12 日 (土) 2 時 19 分 19 秒 (日本時間)
4511e6600Dmitry DomanovJune 13, 2011 18:29:05 UTC 2011 年 6 月 14 日 (火) 3 時 29 分 5 秒 (日本時間)
5043e61088480Dmitry DomanovOctober 10, 2011 22:38:30 UTC 2011 年 10 月 11 日 (火) 7 時 38 分 30 秒 (日本時間)
440Dmitry DomanovOctober 13, 2011 21:23:50 UTC 2011 年 10 月 14 日 (金) 6 時 23 分 50 秒 (日本時間)
168Dmitry DomanovOctober 16, 2011 15:33:03 UTC 2011 年 10 月 17 日 (月) 0 時 33 分 3 秒 (日本時間)
5511e72635 / 17341yoyo@homeFebruary 17, 2012 01:03:48 UTC 2012 年 2 月 17 日 (金) 10 時 3 分 48 秒 (日本時間)

6×10223+1

c220

name 名前RSALS + Rich Dickerson
date 日付May 26, 2012 15:56:25 UTC 2012 年 5 月 27 日 (日) 0 時 56 分 25 秒 (日本時間)
composite number 合成数
1427789543821240749113580658210979701591985341360683435261642433905242367275063655617162030316731313804345239511695976013135663803155414891844942055541013254646265140518287604407110391928229778930585631677890678913928087<220>
prime factors 素因数
2048279561630094413940242246970488263454250075107126516663<58>
4487087514500719652610502868943979821190063207053724258161633999469<67>
155349702434172729239694378089117934482361267066359337694151534312046853369486165859085416527621<96>
factorization results 素因数分解の結果
prp58 = 2048279561630094413940242246970488263454250075107126516663
prp67 = 4487087514500719652610502868943979821190063207053724258161633999469
prp96 = 155349702434172729239694378089117934482361267066359337694151534312046853369486165859085416527621
software ソフトウェア
ggnfs-lasieve4I14e on the RSALS grid + msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 27, 2009 02:00:00 UTC 2009 年 4 月 27 日 (月) 11 時 0 分 0 秒 (日本時間)
351e60--
403e62336400Serge BatalovMay 10, 2009 08:47:37 UTC 2009 年 5 月 10 日 (日) 17 時 47 分 37 秒 (日本時間)
1936Wataru SakaiJanuary 21, 2010 13:21:40 UTC 2010 年 1 月 21 日 (木) 22 時 21 分 40 秒 (日本時間)
4511e60--
5043e6800Dmitry DomanovJune 11, 2011 07:05:18 UTC 2011 年 6 月 11 日 (土) 16 時 5 分 18 秒 (日本時間)
5511e72935 / 17466160Dmitry DomanovJune 13, 2011 18:41:18 UTC 2011 年 6 月 14 日 (火) 3 時 41 分 18 秒 (日本時間)
2775yoyo@homeNovember 4, 2011 18:40:03 UTC 2011 年 11 月 5 日 (土) 3 時 40 分 3 秒 (日本時間)

6×10226+1

c187

name 名前Dmitry Domanov
date 日付June 14, 2011 12:51:54 UTC 2011 年 6 月 14 日 (火) 21 時 51 分 54 秒 (日本時間)
composite number 合成数
3500588764519623263474306806236493805465538956213007029010823075968697170982362618525603833399460357075159459923363300270660323926331048901023445636943008986821408739741336301188387780589<187>
prime factors 素因数
23328829225931296935726363124384539817061<41>
150054198203333894416412386736518052903362043117297361103189602498212076728503882348175799862828310083290295350842104744376323742647819954320828649<147>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2397751228
Step 1 took 255046ms
Step 2 took 145353ms
********** Factor found in step 2: 23328829225931296935726363124384539817061
Found probable prime factor of 41 digits: 23328829225931296935726363124384539817061
Probable prime cofactor 150054198203333894416412386736518052903362043117297361103189602498212076728503882348175799862828310083290295350842104744376323742647819954320828649 has 147 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 27, 2009 02:00:00 UTC 2009 年 4 月 27 日 (月) 11 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovMarch 11, 2011 17:19:48 UTC 2011 年 3 月 12 日 (土) 2 時 19 分 48 秒 (日本時間)
4511e6600 / 4413Dmitry DomanovJune 13, 2011 18:28:30 UTC 2011 年 6 月 14 日 (火) 3 時 28 分 30 秒 (日本時間)

6×10227+1

c202

composite cofactor 合成数の残り
5555538749704637838636056885361687030218278147127919593369097015272101270279286520883876392076389277937907573983740176346326219501356061869390862382923304585478834763645330358076583391112333703954459301<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 27, 2009 02:00:00 UTC 2009 年 4 月 27 日 (月) 11 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovMarch 11, 2011 17:20:16 UTC 2011 年 3 月 12 日 (土) 2 時 20 分 16 秒 (日本時間)
4511e6600Dmitry DomanovJune 8, 2011 21:36:08 UTC 2011 年 6 月 9 日 (木) 6 時 36 分 8 秒 (日本時間)
5043e61090480Dmitry DomanovOctober 10, 2011 22:37:58 UTC 2011 年 10 月 11 日 (火) 7 時 37 分 58 秒 (日本時間)
400Dmitry DomanovOctober 13, 2011 21:21:23 UTC 2011 年 10 月 14 日 (金) 6 時 21 分 23 秒 (日本時間)
210Dmitry DomanovOctober 16, 2011 15:32:25 UTC 2011 年 10 月 17 日 (月) 0 時 32 分 25 秒 (日本時間)
5511e72635 / 17341yoyo@homeFebruary 17, 2012 03:52:21 UTC 2012 年 2 月 17 日 (金) 12 時 52 分 21 秒 (日本時間)

6×10228+1

c194

composite cofactor 合成数の残り
11250950835078257092587523087761353502758727110999868384122564107470762528276862320886261278553329280222844251141286045581714145858865460016993980893336885027290226763646180334123589384265058629<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 27, 2009 02:00:00 UTC 2009 年 4 月 27 日 (月) 11 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovMarch 11, 2011 17:20:44 UTC 2011 年 3 月 12 日 (土) 2 時 20 分 44 秒 (日本時間)
4511e6600Dmitry DomanovJune 10, 2011 23:01:37 UTC 2011 年 6 月 11 日 (土) 8 時 1 分 37 秒 (日本時間)
5043e61088480Dmitry DomanovOctober 10, 2011 22:37:24 UTC 2011 年 10 月 11 日 (火) 7 時 37 分 24 秒 (日本時間)
440Dmitry DomanovOctober 13, 2011 21:21:58 UTC 2011 年 10 月 14 日 (金) 6 時 21 分 58 秒 (日本時間)
168Dmitry DomanovOctober 16, 2011 15:31:52 UTC 2011 年 10 月 17 日 (月) 0 時 31 分 52 秒 (日本時間)
5511e72635 / 17341yoyo@homeFebruary 17, 2012 06:42:18 UTC 2012 年 2 月 17 日 (金) 15 時 42 分 18 秒 (日本時間)

6×10231+1

c188

composite cofactor 合成数の残り
28284479737499129152822600564231655496835764653077090817754128651163796472081365298861046682262445285592081935768488045664721912918535404037065424197190461427203294489468499248120754453461<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 27, 2009 02:00:00 UTC 2009 年 4 月 27 日 (月) 11 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovMarch 11, 2011 17:21:06 UTC 2011 年 3 月 12 日 (土) 2 時 21 分 6 秒 (日本時間)
4511e6600Dmitry DomanovJune 12, 2011 23:19:52 UTC 2011 年 6 月 13 日 (月) 8 時 19 分 52 秒 (日本時間)
5043e61088480Dmitry DomanovOctober 10, 2011 22:36:52 UTC 2011 年 10 月 11 日 (火) 7 時 36 分 52 秒 (日本時間)
440Dmitry DomanovOctober 13, 2011 21:22:28 UTC 2011 年 10 月 14 日 (金) 6 時 22 分 28 秒 (日本時間)
168Dmitry DomanovOctober 16, 2011 15:31:12 UTC 2011 年 10 月 17 日 (月) 0 時 31 分 12 秒 (日本時間)
5511e72635 / 17341yoyo@homeFebruary 21, 2012 13:37:32 UTC 2012 年 2 月 21 日 (火) 22 時 37 分 32 秒 (日本時間)

6×10232+1

c197

name 名前Dmitry Domanov
date 日付October 3, 2011 13:51:58 UTC 2011 年 10 月 3 日 (月) 22 時 51 分 58 秒 (日本時間)
composite number 合成数
84092718862906558492075323558344203865603459761766786449184700084846843270808907381867662630481557455377915169367046602053371152975153644627500052389133705254949340895772699960097980325935591829879<197>
prime factors 素因数
9271425880342337957537563139998169933441799916441558373<55>
9070095576259033901463743258837986832933278101846777357186246457227663780700787488762216946233238419305919628585380317160061445560373475550123<142>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2996709645
Step 1 took 395632ms
Step 2 took 98861ms
********** Factor found in step 2: 9271425880342337957537563139998169933441799916441558373
Found probable prime factor of 55 digits: 9271425880342337957537563139998169933441799916441558373
Probable prime cofactor 9070095576259033901463743258837986832933278101846777357186246457227663780700787488762216946233238419305919628585380317160061445560373475550123 has 142 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 27, 2009 02:00:00 UTC 2009 年 4 月 27 日 (月) 11 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovMarch 11, 2011 17:21:25 UTC 2011 年 3 月 12 日 (土) 2 時 21 分 25 秒 (日本時間)
4511e6600 / 2729Dmitry DomanovJune 10, 2011 23:00:46 UTC 2011 年 6 月 11 日 (土) 8 時 0 分 46 秒 (日本時間)
5043e6480 / 7407Dmitry DomanovOctober 2, 2011 20:41:12 UTC 2011 年 10 月 3 日 (月) 5 時 41 分 12 秒 (日本時間)

6×10233+1

c196

name 名前Serge Batalov
date 日付April 27, 2009 05:19:03 UTC 2009 年 4 月 27 日 (月) 14 時 19 分 3 秒 (日本時間)
composite number 合成数
1472481153204703749707825408108934064826462627183520398858688216233462243379678633476027219196009765704155221173328478489319709111174191357169587197924936976171731290541673367785491137625217690153<196>
prime factors 素因数
2561616974580876396755878639763<31>
composite cofactor 合成数の残り
574824873435899378320065034350864626543502944955975704501487535802286423132854167632694971627309959241359282121449541103533943009375174285144531117192634556032152531<165>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=2878558676
Step 1 took 15537ms
Step 2 took 15985ms
********** Factor found in step 2: 2561616974580876396755878639763
Found probable prime factor of 31 digits: 2561616974580876396755878639763
Composite cofactor has 165 digits
software ソフトウェア
GMP-ECM 6.2.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 27, 2009 02:00:00 UTC 2009 年 4 月 27 日 (月) 11 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovMarch 11, 2011 17:21:42 UTC 2011 年 3 月 12 日 (土) 2 時 21 分 42 秒 (日本時間)
4511e6600Dmitry DomanovJune 12, 2011 23:19:14 UTC 2011 年 6 月 13 日 (月) 8 時 19 分 14 秒 (日本時間)
5043e61200640Dmitry DomanovOctober 10, 2011 22:36:15 UTC 2011 年 10 月 11 日 (火) 7 時 36 分 15 秒 (日本時間)
560Dmitry DomanovOctober 13, 2011 21:23:07 UTC 2011 年 10 月 14 日 (金) 6 時 23 分 7 秒 (日本時間)
5511e72585 / 17301yoyo@homeFebruary 21, 2012 16:02:52 UTC 2012 年 2 月 22 日 (水) 1 時 2 分 52 秒 (日本時間)

6×10234+1

c163

name 名前[AF>Le_Pommier>MacBidouille.com]m.o.u.s.t.i.c
date 日付October 17, 2010 08:42:06 UTC 2010 年 10 月 17 日 (日) 17 時 42 分 6 秒 (日本時間)
composite number 合成数
3755408410505230729190899118324431834292106033940351955507436810965034213889456599052388984293780723793596126474476083532251333177802330432545087076489600037733377<163>
prime factors 素因数
13305879021578738778643983828305010925616630988038713<53>
composite cofactor 合成数の残り
282236777022766932127537234557165361011357743242629595148836421639660797488940279529924309274115673621330513929<111>
factorization results 素因数分解の結果
GMP-ECM 6.2 [powered by GMP 4.2.2] [ECM]
Running on moustic-desktop
Input number is 3755408410505230729190899118324431834292106033940351955507436810965034213889456599052388984293780723793596126474476083532251333177802330432545087076489600037733377 (163 digits)
[Sat Oct 16 22:39:39 2010]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1693717372
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
20  25      30      35      40      45      50      55      60      65
2       4       10      34      135     613     3133    17769   111196  751771
Step 1 took 636200ms
Using 20 small primes for NTT
Estimated memory usage: 471M
Initializing tables of differences for F took 380ms
Computing roots of F took 17380ms
Building F from its roots took 27510ms
Computing 1/F took 16370ms
Initializing table of differences for G took 330ms
Computing roots of G took 14460ms
Building G from its roots took 29670ms
Computing roots of G took 14640ms
Building G from its roots took 29680ms
Computing G * H took 8350ms
Reducing  G * H mod F took 8540ms
Computing roots of G took 14620ms
Building G from its roots took 29650ms
Computing G * H took 8360ms
Reducing  G * H mod F took 8520ms
Computing roots of G took 14610ms
Building G from its roots took 29640ms
Computing G * H took 8340ms
Reducing  G * H mod F took 8530ms
Computing polyeval(F,G) took 56190ms
Computing product of all F(g_i) took 80ms
Step 2 took 346450ms
********** Factor found in step 2: 13305879021578738778643983828305010925616630988038713
Found probable prime factor of 53 digits: 13305879021578738778643983828305010925616630988038713
Composite cofactor 282236777022766932127537234557165361011357743242629595148836421639660797488940279529924309274115673621330513929 has 111 digits
software ソフトウェア
GMP-ECM

c111

name 名前juno1369
date 日付October 18, 2010 20:35:54 UTC 2010 年 10 月 19 日 (火) 5 時 35 分 54 秒 (日本時間)
composite number 合成数
282236777022766932127537234557165361011357743242629595148836421639660797488940279529924309274115673621330513929<111>
prime factors 素因数
17778023228758783526348292647766340722880511004101<50>
15875599519197612600929334930759310129257729865522799741895029<62>
factorization results 素因数分解の結果
Number: 60001_234
N = 282236777022766932127537234557165361011357743242629595148836421639660797488940279529924309274115673621330513929 (111 digits)
Divisors found:
r1=17778023228758783526348292647766340722880511004101 (pp50)
r2=15875599519197612600929334930759310129257729865522799741895029 (pp62)
Version: Msieve v. 1.47
Total time: 17.35 hours.
Factorization parameters were as follows:
n: 282236777022766932127537234557165361011357743242629595148836421639660797488940279529924309274115673621330513929
Y0: -2878569574208789121599
Y1: 361407460091
c0: 2140351723004178973139866944
c1: -32104033819471609788600
c2: -5536426828232279340
c3: -19145371023662
c4: 45655441
c5: 1428
skew: 92561.57  
type: gnfs
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 8439853
Relations: 534648 relations
Pruned matrix : 332655 x 332880
Polynomial selection time: 0.00 hours.
Total sieving time: 16.90 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.34 hours.
time per square root: 0.03 hours.
Prototype def-par.txt line would be: gnfs,110,5,61,2000,0.00015,0.3,250,15,50000,2400,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 17.35 hours.
Intel64 Family 6 Model 23 Stepping 10, GenuineIntel
Windows-Vista-6.0.6002-SP2
processors: 2, speed: 2.00GHz
software ソフトウェア
GGNFS + Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 27, 2009 02:00:00 UTC 2009 年 4 月 27 日 (月) 11 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiMay 3, 2009 04:50:04 UTC 2009 年 5 月 3 日 (日) 13 時 50 分 4 秒 (日本時間)
4511e63962Wataru SakaiMay 23, 2009 06:02:23 UTC 2009 年 5 月 23 日 (土) 15 時 2 分 23 秒 (日本時間)
5043e60 / 4599--
5511e7820 / 17503yoyo@homeOctober 16, 2010 07:26:11 UTC 2010 年 10 月 16 日 (土) 16 時 26 分 11 秒 (日本時間)

6×10235+1

c230

name 名前Frank Villasenor
date 日付November 6, 2011 20:01:06 UTC 2011 年 11 月 7 日 (月) 5 時 1 分 6 秒 (日本時間)
composite number 合成数
13183866375361814732838835803074345800070621577550688120918906697118468245669044962917079852701055610207564594902633850851359157744301987885345187680028441994393780554983644315105832388672685687616636017839529054714583575495323353<230>
prime factors 素因数
39354311511429882928421207419725036797127964577<47>
335004371033978170127841893046092684577130764895147712303150389434763619081855345937930512874263549580310312810475308980847179347139683026972304048411026125037229495133539117958188089<183>
factorization results 素因数分解の結果
GMP-ECM 6.2 [powered by GMP 4.2.2] [ECM]
Running on frank-Inspiron-531
Input number is 13183866375361814732838835803074345800070621577550688120918906697118468245669044962917079852701055610207564594902633850851359157744301987885345187680028441994393780554983644315105832388672685687616636017839529054714583575495323353 (230 digits)
[Sun Nov  6 06:12:48 2011]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1499033456
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
20    25      30      35      40      45      50      55      60      65
2       4       10      34      135     613     3133    17769   111196  751771
Step 1 took 1119941ms
Using 28 small primes for NTT
Estimated memory usage: 617M
Initializing tables of differences for F took 689ms
Computing roots of F took 28677ms
Building F from its roots took 44811ms
Computing 1/F took 26638ms
Initializing table of differences for G took 604ms
Computing roots of G took 24185ms
Building G from its roots took 49815ms
Computing roots of G took 24142ms
Building G from its roots took 48995ms
Computing G * H took 13637ms
Reducing  G * H mod F took 14081ms
Computing roots of G took 24257ms
Building G from its roots took 49199ms
Computing G * H took 13761ms
Reducing  G * H mod F took 14057ms
Computing roots of G took 23978ms
Building G from its roots took 49339ms
Computing G * H took 13417ms
Reducing  G * H mod F took 14340ms
Computing polyeval(F,G) took 93842ms
Computing product of all F(g_i) took 128ms
Step 2 took 573436ms
********** Factor found in step 2: 39354311511429882928421207419725036797127964577
Found probable prime factor of 47 digits: 39354311511429882928421207419725036797127964577
Probable prime cofactor 335004371033978170127841893046092684577130764895147712303150389434763619081855345937930512874263549580310312810475308980847179347139683026972304048411026125037229495133539117958188089 has 183 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
3025e4430Makoto KamadaApril 27, 2009 02:00:00 UTC 2009 年 4 月 27 日 (月) 11 時 0 分 0 秒 (日本時間)
351e6825Andreas TeteMay 2, 2009 21:30:43 UTC 2009 年 5 月 3 日 (日) 6 時 30 分 43 秒 (日本時間)
403e62111Wataru SakaiJanuary 24, 2010 06:12:06 UTC 2010 年 1 月 24 日 (日) 15 時 12 分 6 秒 (日本時間)
4511e64000Wataru SakaiMay 28, 2011 04:25:21 UTC 2011 年 5 月 28 日 (土) 13 時 25 分 21 秒 (日本時間)
5043e6250 / 4341Dmitry DomanovMay 24, 2011 11:04:04 UTC 2011 年 5 月 24 日 (火) 20 時 4 分 4 秒 (日本時間)
5511e7925 / 17412yoyo@homeNovember 5, 2011 04:25:04 UTC 2011 年 11 月 5 日 (土) 13 時 25 分 4 秒 (日本時間)

6×10237+1

c211

composite cofactor 合成数の残り
2202621105970231633096320716945299937737615144016321880109664447051016331230243862979945994446896802085657981349347119419652804647506547756650174746519529727219895372440161403050334403001641372784744844096265747<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 27, 2009 02:00:00 UTC 2009 年 4 月 27 日 (月) 11 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovMarch 11, 2011 17:22:23 UTC 2011 年 3 月 12 日 (土) 2 時 22 分 23 秒 (日本時間)
4511e6600Dmitry DomanovJune 6, 2011 22:04:53 UTC 2011 年 6 月 7 日 (火) 7 時 4 分 53 秒 (日本時間)
5043e61090480Dmitry DomanovOctober 2, 2011 20:39:54 UTC 2011 年 10 月 3 日 (月) 5 時 39 分 54 秒 (日本時間)
400Dmitry DomanovOctober 10, 2011 22:35:37 UTC 2011 年 10 月 11 日 (火) 7 時 35 分 37 秒 (日本時間)
210Dmitry DomanovOctober 16, 2011 15:29:47 UTC 2011 年 10 月 17 日 (月) 0 時 29 分 47 秒 (日本時間)
5511e72635 / 17341yoyo@homeFebruary 21, 2012 18:15:07 UTC 2012 年 2 月 22 日 (水) 3 時 15 分 7 秒 (日本時間)

6×10238+1

c220

composite cofactor 合成数の残り
2625693097049089179102852472133002996435553277937619019278256313518290223610517942128123079019982545066636294331949382226994154385558313972151398260950370569326765626569778411133963460805661320049237911582251832189072979<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 27, 2009 02:00:00 UTC 2009 年 4 月 27 日 (月) 11 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovMarch 11, 2011 17:22:44 UTC 2011 年 3 月 12 日 (土) 2 時 22 分 44 秒 (日本時間)
4511e64600600Dmitry DomanovJune 6, 2011 22:03:43 UTC 2011 年 6 月 7 日 (火) 7 時 3 分 43 秒 (日本時間)
4000Dmitry DomanovJuly 25, 2011 14:08:42 UTC 2011 年 7 月 25 日 (月) 23 時 8 分 42 秒 (日本時間)
5043e60--
5511e72710 / 17479yoyo@homeNovember 6, 2011 21:40:04 UTC 2011 年 11 月 7 日 (月) 6 時 40 分 4 秒 (日本時間)

6×10239+1

c198

composite cofactor 合成数の残り
284329253122044126126507729304987239671901220746257910658557985655216463118884855064541107365005713589154594373478262599109523624517863380475553575947251619381911189078192142750450431861737084979281<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 27, 2009 02:00:00 UTC 2009 年 4 月 27 日 (月) 11 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovMarch 11, 2011 17:23:07 UTC 2011 年 3 月 12 日 (土) 2 時 23 分 7 秒 (日本時間)
4511e6600Dmitry DomanovJune 3, 2011 16:34:40 UTC 2011 年 6 月 4 日 (土) 1 時 34 分 40 秒 (日本時間)
5043e61088560Dmitry DomanovOctober 2, 2011 20:39:08 UTC 2011 年 10 月 3 日 (月) 5 時 39 分 8 秒 (日本時間)
528Dmitry DomanovOctober 10, 2011 22:35:01 UTC 2011 年 10 月 11 日 (火) 7 時 35 分 1 秒 (日本時間)
5511e72635 / 17341yoyo@homeFebruary 21, 2012 20:37:48 UTC 2012 年 2 月 22 日 (水) 5 時 37 分 48 秒 (日本時間)

6×10240+1

c227

composite cofactor 合成数の残り
29193002184143548010722146658005203781686415613396510380928161193735148151520181647487611118921561593227420751593314409161865463194750353232784801436898113035460560948748183599434430406028420522019493313302619407575651965342031<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 27, 2009 02:00:00 UTC 2009 年 4 月 27 日 (月) 11 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovMarch 11, 2011 17:23:27 UTC 2011 年 3 月 12 日 (土) 2 時 23 分 27 秒 (日本時間)
4511e64600600Dmitry DomanovJune 2, 2011 22:11:24 UTC 2011 年 6 月 3 日 (金) 7 時 11 分 24 秒 (日本時間)
4000Dmitry DomanovJuly 25, 2011 14:07:44 UTC 2011 年 7 月 25 日 (月) 23 時 7 分 44 秒 (日本時間)
5043e60--
5511e72710 / 17479yoyo@homeNovember 7, 2011 16:45:04 UTC 2011 年 11 月 8 日 (火) 1 時 45 分 4 秒 (日本時間)

6×10242+1

c243

name 名前Markus Tervooren
date 日付January 20, 2010 13:54:09 UTC 2010 年 1 月 20 日 (水) 22 時 54 分 9 秒 (日本時間)
composite number 合成数
600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<243>
prime factors 素因数
25919781365568892722384956852629495634503802901348780782570768063568310293710996482740826565327874208225740749<110>
23148343403738084574786519719198785959318631918784209019174405368746958342042218577943294663688899880455296243370662891699700923071749<134>
factorization results 素因数分解の結果
Sieving took ~430 Core2-CPU-days @ 0.07 to 0.12 secs/rel
Sieved all the way through from 1M to ~105M

n: 600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
m: 10000000000000000000000000000000000000000
deg: 6
c6: 600
c0: 1
skew: 0.34
type: snfs
lss: 1
rlim: 78000000
alim: 78000000
lpbr: 32
lpba: 32
mfbr: 65
mfba: 65
rlambda: from 2.6 (>40M) to 3.2 (<10M)
alambda: from 2.6 (>40M) to 3.2 (<10M)

14e/15e sievers used.

Mon Dec 28 12:56:58 2009  Msieve v. 1.44
Mon Dec 28 12:56:58 2009  random seeds: ffde4ef3 c8f7c768
Mon Dec 28 12:56:58 2009  factoring 600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 (243 digits)
Mon Dec 28 12:57:00 2009  searching for 15-digit factors
Mon Dec 28 12:57:01 2009  commencing number field sieve (243-digit input)
Mon Dec 28 12:57:01 2009  R0:  20000000000000000000000000000000000000000
Mon Dec 28 12:57:01 2009  R1: -1
Mon Dec 28 12:57:01 2009  A0:  8
Mon Dec 28 12:57:01 2009  A1:  0
Mon Dec 28 12:57:01 2009  A2:  0
Mon Dec 28 12:57:01 2009  A3:  0
Mon Dec 28 12:57:01 2009  A4:  0
Mon Dec 28 12:57:01 2009  A5:  0
Mon Dec 28 12:57:01 2009  A6:  75
Mon Dec 28 12:57:01 2009  skew 0.84, size 3.148256e-12, alpha 1.908492, combined = 2.823712e-13
Mon Dec 28 12:57:01 2009  
Mon Dec 28 12:57:01 2009  commencing relation filtering
Mon Dec 28 12:57:01 2009  estimated available RAM is 8010.2 MB
Mon Dec 28 12:57:01 2009  commencing duplicate removal, pass 1
... 100's of errors snipped
Mon Dec 28 13:53:10 2009  found 62989411 hash collisions in 355886945 relations
Mon Dec 28 13:53:36 2009  added 1218939 free relations
Mon Dec 28 13:53:36 2009  commencing duplicate removal, pass 2
Mon Dec 28 14:08:47 2009  found 56261720 duplicates and 300844164 unique relations
Mon Dec 28 14:08:47 2009  memory use: 1449.5 MB
Mon Dec 28 14:08:48 2009  reading ideals above 163905536
Mon Dec 28 14:08:48 2009  commencing singleton removal, initial pass
Mon Dec 28 15:06:29 2009  memory use: 6024.0 MB
Mon Dec 28 15:06:29 2009  removing singletons from LP file
Mon Dec 28 15:06:29 2009  start with 300844163 relations and 282834184 ideals
Mon Dec 28 15:10:09 2009  pass 1: found 113673478 singletons
Mon Dec 28 15:13:05 2009  pruned dataset has 187170685 relations and 147472991 large ideals
Mon Dec 28 15:13:05 2009  reading all ideals from disk
Mon Dec 28 15:13:30 2009  memory use: 3083.2 MB
Mon Dec 28 15:13:56 2009  commencing in-memory singleton removal
Mon Dec 28 15:14:22 2009  begin with 187170685 relations and 147472991 unique ideals
Mon Dec 28 15:20:22 2009  reduce to 144262762 relations and 102281865 ideals in 15 passes
Mon Dec 28 15:20:22 2009  max relations containing the same ideal: 53
Mon Dec 28 15:20:47 2009  reading ideals above 720000
Mon Dec 28 15:20:47 2009  commencing singleton removal, initial pass
Mon Dec 28 16:01:13 2009  memory use: 3012.0 MB
Mon Dec 28 16:01:14 2009  reading large ideals from disk
Mon Dec 28 16:04:37 2009  keeping 109956034 ideals with weight <= 20, target excess is 10686028
Mon Dec 28 16:07:59 2009  memory use: 3715.2 MB
Mon Dec 28 16:07:59 2009  commencing in-memory singleton removal
Mon Dec 28 16:08:23 2009  begin with 144262762 relations and 109956034 unique ideals
Mon Dec 28 16:13:31 2009  reduce to 144240109 relations and 109933381 ideals in 12 passes
Mon Dec 28 16:13:31 2009  max relations containing the same ideal: 20
Mon Dec 28 16:15:33 2009  removing 4653261 relations and 4253261 ideals in 400000 cliques
Mon Dec 28 16:15:37 2009  commencing in-memory singleton removal
Mon Dec 28 16:16:00 2009  begin with 139586848 relations and 109933381 unique ideals
Mon Dec 28 16:19:48 2009  reduce to 139505934 relations and 105598859 ideals in 9 passes
Mon Dec 28 16:19:48 2009  max relations containing the same ideal: 20
Mon Dec 28 16:21:46 2009  removing 3405154 relations and 3005154 ideals in 400000 cliques
Mon Dec 28 16:21:50 2009  commencing in-memory singleton removal
Mon Dec 28 16:22:11 2009  begin with 136100780 relations and 105598859 unique ideals
Mon Dec 28 16:26:11 2009  reduce to 136053530 relations and 102546299 ideals in 10 passes
Mon Dec 28 16:26:11 2009  max relations containing the same ideal: 20
Mon Dec 28 16:27:55 2009  removing 2998809 relations and 2598809 ideals in 400000 cliques
Mon Dec 28 16:27:58 2009  commencing in-memory singleton removal
Mon Dec 28 16:28:17 2009  begin with 133054721 relations and 102546299 unique ideals
Mon Dec 28 16:30:45 2009  reduce to 133017364 relations and 99910020 ideals in 7 passes
Mon Dec 28 16:30:45 2009  max relations containing the same ideal: 20
Mon Dec 28 16:32:25 2009  removing 2760067 relations and 2360067 ideals in 400000 cliques
Mon Dec 28 16:32:28 2009  commencing in-memory singleton removal
Mon Dec 28 16:32:47 2009  begin with 130257297 relations and 99910020 unique ideals
Mon Dec 28 16:35:14 2009  reduce to 130224319 relations and 97516863 ideals in 7 passes
Mon Dec 28 16:35:14 2009  max relations containing the same ideal: 20
Mon Dec 28 16:36:53 2009  removing 2590079 relations and 2190079 ideals in 400000 cliques
Mon Dec 28 16:36:56 2009  commencing in-memory singleton removal
Mon Dec 28 16:37:14 2009  begin with 127634240 relations and 97516863 unique ideals
Mon Dec 28 16:39:35 2009  reduce to 127604044 relations and 95296501 ideals in 7 passes
Mon Dec 28 16:39:35 2009  max relations containing the same ideal: 20
Mon Dec 28 16:41:13 2009  removing 2464665 relations and 2064665 ideals in 400000 cliques
Mon Dec 28 16:41:16 2009  commencing in-memory singleton removal
Mon Dec 28 16:41:34 2009  begin with 125139379 relations and 95296501 unique ideals
Mon Dec 28 16:43:36 2009  reduce to 125112085 relations and 93204456 ideals in 6 passes
Mon Dec 28 16:43:36 2009  max relations containing the same ideal: 20
Mon Dec 28 16:45:13 2009  removing 2365060 relations and 1965060 ideals in 400000 cliques
Mon Dec 28 16:45:16 2009  commencing in-memory singleton removal
Mon Dec 28 16:45:33 2009  begin with 122747025 relations and 93204456 unique ideals
Mon Dec 28 16:47:28 2009  reduce to 122720935 relations and 91213220 ideals in 6 passes
Mon Dec 28 16:47:28 2009  max relations containing the same ideal: 20
Mon Dec 28 16:48:58 2009  removing 2281712 relations and 1881712 ideals in 400000 cliques
Mon Dec 28 16:49:01 2009  commencing in-memory singleton removal
Mon Dec 28 16:49:19 2009  begin with 120439223 relations and 91213220 unique ideals
Mon Dec 28 16:51:41 2009  reduce to 120414602 relations and 89306818 ideals in 7 passes
Mon Dec 28 16:51:41 2009  max relations containing the same ideal: 20
Mon Dec 28 16:53:18 2009  removing 2207004 relations and 1807004 ideals in 400000 cliques
Mon Dec 28 16:53:21 2009  commencing in-memory singleton removal
Mon Dec 28 16:53:40 2009  begin with 118207598 relations and 89306818 unique ideals
Mon Dec 28 16:55:41 2009  reduce to 118182887 relations and 87475051 ideals in 6 passes
Mon Dec 28 16:55:41 2009  max relations containing the same ideal: 20
Mon Dec 28 16:57:16 2009  removing 2150827 relations and 1750827 ideals in 400000 cliques
Mon Dec 28 16:57:18 2009  commencing in-memory singleton removal
Mon Dec 28 16:57:37 2009  begin with 116032060 relations and 87475051 unique ideals
Mon Dec 28 16:59:57 2009  reduce to 116008825 relations and 85700912 ideals in 7 passes
Mon Dec 28 16:59:57 2009  max relations containing the same ideal: 20
Mon Dec 28 17:01:26 2009  removing 2101449 relations and 1701449 ideals in 400000 cliques
Mon Dec 28 17:01:29 2009  commencing in-memory singleton removal
Mon Dec 28 17:01:45 2009  begin with 113907376 relations and 85700912 unique ideals
Mon Dec 28 17:03:12 2009  reduce to 113884972 relations and 83976983 ideals in 5 passes
Mon Dec 28 17:03:12 2009  max relations containing the same ideal: 20
Mon Dec 28 17:04:34 2009  removing 2052048 relations and 1652048 ideals in 400000 cliques
Mon Dec 28 17:04:37 2009  commencing in-memory singleton removal
Mon Dec 28 17:04:53 2009  begin with 111832924 relations and 83976983 unique ideals
Mon Dec 28 17:06:57 2009  reduce to 111811078 relations and 82303023 ideals in 7 passes
Mon Dec 28 17:06:57 2009  max relations containing the same ideal: 20
Mon Dec 28 17:08:19 2009  removing 2009700 relations and 1609700 ideals in 400000 cliques
Mon Dec 28 17:08:22 2009  commencing in-memory singleton removal
Mon Dec 28 17:08:37 2009  begin with 109801378 relations and 82303023 unique ideals
Mon Dec 28 17:10:36 2009  reduce to 109779027 relations and 80670907 ideals in 7 passes
Mon Dec 28 17:10:36 2009  max relations containing the same ideal: 20
Mon Dec 28 17:12:03 2009  removing 1975900 relations and 1575900 ideals in 400000 cliques
Mon Dec 28 17:12:06 2009  commencing in-memory singleton removal
Mon Dec 28 17:12:25 2009  begin with 107803127 relations and 80670907 unique ideals
Mon Dec 28 17:14:24 2009  reduce to 107782436 relations and 79074262 ideals in 6 passes
Mon Dec 28 17:14:24 2009  max relations containing the same ideal: 20
Mon Dec 28 17:15:59 2009  removing 1936543 relations and 1536543 ideals in 400000 cliques
Mon Dec 28 17:16:02 2009  commencing in-memory singleton removal
Mon Dec 28 17:16:20 2009  begin with 105845893 relations and 79074262 unique ideals
Mon Dec 28 17:18:12 2009  reduce to 105824736 relations and 77516492 ideals in 6 passes
Mon Dec 28 17:18:12 2009  max relations containing the same ideal: 20
Mon Dec 28 17:19:30 2009  removing 1903972 relations and 1503972 ideals in 400000 cliques
Mon Dec 28 17:19:32 2009  commencing in-memory singleton removal
Mon Dec 28 17:19:46 2009  begin with 103920764 relations and 77516492 unique ideals
Mon Dec 28 17:21:23 2009  reduce to 103899266 relations and 75990951 ideals in 6 passes
Mon Dec 28 17:21:23 2009  max relations containing the same ideal: 20
Mon Dec 28 17:22:39 2009  removing 1881068 relations and 1481068 ideals in 400000 cliques
Mon Dec 28 17:22:41 2009  commencing in-memory singleton removal
Mon Dec 28 17:22:55 2009  begin with 102018198 relations and 75990951 unique ideals
Mon Dec 28 17:24:31 2009  reduce to 101996950 relations and 74488576 ideals in 6 passes
Mon Dec 28 17:24:31 2009  max relations containing the same ideal: 20
Mon Dec 28 17:25:41 2009  removing 1855508 relations and 1455508 ideals in 400000 cliques
Mon Dec 28 17:25:43 2009  commencing in-memory singleton removal
Mon Dec 28 17:25:57 2009  begin with 100141442 relations and 74488576 unique ideals
Mon Dec 28 17:27:12 2009  reduce to 100119950 relations and 73011504 ideals in 5 passes
Mon Dec 28 17:27:12 2009  max relations containing the same ideal: 20
Mon Dec 28 17:28:23 2009  removing 1823926 relations and 1423926 ideals in 400000 cliques
Mon Dec 28 17:28:26 2009  commencing in-memory singleton removal
Mon Dec 28 17:28:39 2009  begin with 98296024 relations and 73011504 unique ideals
Mon Dec 28 17:29:57 2009  reduce to 98274775 relations and 71566257 ideals in 5 passes
Mon Dec 28 17:29:57 2009  max relations containing the same ideal: 20
Mon Dec 28 17:31:10 2009  removing 1807245 relations and 1407245 ideals in 400000 cliques
Mon Dec 28 17:31:12 2009  commencing in-memory singleton removal
Mon Dec 28 17:31:26 2009  begin with 96467530 relations and 71566257 unique ideals
Mon Dec 28 17:32:56 2009  reduce to 96447301 relations and 70138719 ideals in 6 passes
Mon Dec 28 17:32:56 2009  max relations containing the same ideal: 20
Mon Dec 28 17:34:06 2009  removing 1788456 relations and 1388456 ideals in 400000 cliques
Mon Dec 28 17:34:08 2009  commencing in-memory singleton removal
Mon Dec 28 17:34:22 2009  begin with 94658845 relations and 70138719 unique ideals
Mon Dec 28 17:35:49 2009  reduce to 94638851 relations and 68730205 ideals in 6 passes
Mon Dec 28 17:35:49 2009  max relations containing the same ideal: 20
Mon Dec 28 17:36:57 2009  removing 1761043 relations and 1361043 ideals in 400000 cliques
Mon Dec 28 17:36:59 2009  commencing in-memory singleton removal
Mon Dec 28 17:37:12 2009  begin with 92877808 relations and 68730205 unique ideals
Mon Dec 28 17:38:21 2009  reduce to 92856570 relations and 67347833 ideals in 5 passes
Mon Dec 28 17:38:21 2009  max relations containing the same ideal: 20
Mon Dec 28 17:39:25 2009  removing 1751866 relations and 1351866 ideals in 400000 cliques
Mon Dec 28 17:39:27 2009  commencing in-memory singleton removal
Mon Dec 28 17:39:39 2009  begin with 91104704 relations and 67347833 unique ideals
Mon Dec 28 17:41:13 2009  reduce to 91084121 relations and 65975313 ideals in 7 passes
Mon Dec 28 17:41:13 2009  max relations containing the same ideal: 20
Mon Dec 28 17:42:14 2009  removing 1743032 relations and 1343032 ideals in 400000 cliques
Mon Dec 28 17:42:16 2009  commencing in-memory singleton removal
Mon Dec 28 17:42:27 2009  begin with 89341089 relations and 65975313 unique ideals
Mon Dec 28 17:43:33 2009  reduce to 89320934 relations and 64612050 ideals in 5 passes
Mon Dec 28 17:43:33 2009  max relations containing the same ideal: 20
Mon Dec 28 17:44:34 2009  removing 1717533 relations and 1317533 ideals in 400000 cliques
Mon Dec 28 17:44:36 2009  commencing in-memory singleton removal
Mon Dec 28 17:44:47 2009  begin with 87603401 relations and 64612050 unique ideals
Mon Dec 28 17:46:03 2009  reduce to 87582515 relations and 63273533 ideals in 6 passes
Mon Dec 28 17:46:03 2009  max relations containing the same ideal: 20
Mon Dec 28 17:47:03 2009  removing 1704496 relations and 1304496 ideals in 400000 cliques
Mon Dec 28 17:47:05 2009  commencing in-memory singleton removal
Mon Dec 28 17:47:16 2009  begin with 85878019 relations and 63273533 unique ideals
Mon Dec 28 17:48:19 2009  reduce to 85856252 relations and 61947183 ideals in 5 passes
Mon Dec 28 17:48:19 2009  max relations containing the same ideal: 20
Mon Dec 28 17:49:17 2009  removing 1688242 relations and 1288242 ideals in 400000 cliques
Mon Dec 28 17:49:19 2009  commencing in-memory singleton removal
Mon Dec 28 17:49:30 2009  begin with 84168010 relations and 61947183 unique ideals
Mon Dec 28 17:50:33 2009  reduce to 84145368 relations and 60636220 ideals in 5 passes
Mon Dec 28 17:50:33 2009  max relations containing the same ideal: 20
Mon Dec 28 17:51:31 2009  removing 1678227 relations and 1278227 ideals in 400000 cliques
Mon Dec 28 17:51:33 2009  commencing in-memory singleton removal
Mon Dec 28 17:51:44 2009  begin with 82467141 relations and 60636220 unique ideals
Mon Dec 28 17:52:57 2009  reduce to 82445098 relations and 59335849 ideals in 6 passes
Mon Dec 28 17:52:57 2009  max relations containing the same ideal: 20
Mon Dec 28 17:53:54 2009  removing 1674030 relations and 1274030 ideals in 400000 cliques
Mon Dec 28 17:53:56 2009  commencing in-memory singleton removal
Mon Dec 28 17:54:07 2009  begin with 80771068 relations and 59335849 unique ideals
Mon Dec 28 17:55:10 2009  reduce to 80751325 relations and 58041989 ideals in 5 passes
Mon Dec 28 17:55:10 2009  max relations containing the same ideal: 20
Mon Dec 28 17:56:09 2009  removing 1640195 relations and 1240195 ideals in 400000 cliques
Mon Dec 28 17:56:10 2009  commencing in-memory singleton removal
Mon Dec 28 17:56:21 2009  begin with 79111130 relations and 58041989 unique ideals
Mon Dec 28 17:57:22 2009  reduce to 79089611 relations and 56780188 ideals in 5 passes
Mon Dec 28 17:57:22 2009  max relations containing the same ideal: 20
Mon Dec 28 17:58:18 2009  removing 1654364 relations and 1254364 ideals in 400000 cliques
Mon Dec 28 17:58:20 2009  commencing in-memory singleton removal
Mon Dec 28 17:58:30 2009  begin with 77435247 relations and 56780188 unique ideals
Mon Dec 28 17:59:38 2009  reduce to 77414916 relations and 55505413 ideals in 6 passes
Mon Dec 28 17:59:38 2009  max relations containing the same ideal: 20
Mon Dec 28 18:00:31 2009  removing 1628125 relations and 1228125 ideals in 400000 cliques
Mon Dec 28 18:00:33 2009  commencing in-memory singleton removal
Mon Dec 28 18:00:43 2009  begin with 75786791 relations and 55505413 unique ideals
Mon Dec 28 18:01:59 2009  reduce to 75765078 relations and 54255468 ideals in 7 passes
Mon Dec 28 18:01:59 2009  max relations containing the same ideal: 20
Mon Dec 28 18:02:52 2009  removing 1623456 relations and 1223456 ideals in 400000 cliques
Mon Dec 28 18:02:54 2009  commencing in-memory singleton removal
Mon Dec 28 18:03:04 2009  begin with 74141622 relations and 54255468 unique ideals
Mon Dec 28 18:04:10 2009  reduce to 74118703 relations and 53008992 ideals in 6 passes
Mon Dec 28 18:04:10 2009  max relations containing the same ideal: 20
Mon Dec 28 18:05:02 2009  removing 1603087 relations and 1203087 ideals in 400000 cliques
Mon Dec 28 18:05:04 2009  commencing in-memory singleton removal
Mon Dec 28 18:05:14 2009  begin with 72515616 relations and 53008992 unique ideals
Mon Dec 28 18:06:08 2009  reduce to 72490386 relations and 51780553 ideals in 5 passes
Mon Dec 28 18:06:08 2009  max relations containing the same ideal: 20
Mon Dec 28 18:06:59 2009  removing 1626597 relations and 1226597 ideals in 400000 cliques
Mon Dec 28 18:07:01 2009  commencing in-memory singleton removal
Mon Dec 28 18:07:11 2009  begin with 70863789 relations and 51780553 unique ideals
Mon Dec 28 18:08:15 2009  reduce to 70841244 relations and 50531294 ideals in 6 passes
Mon Dec 28 18:08:15 2009  max relations containing the same ideal: 20
Mon Dec 28 18:09:05 2009  removing 1605832 relations and 1205832 ideals in 400000 cliques
Mon Dec 28 18:09:07 2009  commencing in-memory singleton removal
Mon Dec 28 18:09:16 2009  begin with 69235412 relations and 50531294 unique ideals
Mon Dec 28 18:10:08 2009  reduce to 69212553 relations and 49302474 ideals in 5 passes
Mon Dec 28 18:10:08 2009  max relations containing the same ideal: 20
Mon Dec 28 18:10:57 2009  removing 1593590 relations and 1193590 ideals in 400000 cliques
Mon Dec 28 18:10:58 2009  commencing in-memory singleton removal
Mon Dec 28 18:11:07 2009  begin with 67618963 relations and 49302474 unique ideals
Mon Dec 28 18:11:58 2009  reduce to 67594994 relations and 48084780 ideals in 5 passes
Mon Dec 28 18:11:58 2009  max relations containing the same ideal: 20
Mon Dec 28 18:12:52 2009  removing 1578965 relations and 1178965 ideals in 400000 cliques
Mon Dec 28 18:12:54 2009  commencing in-memory singleton removal
Mon Dec 28 18:13:05 2009  begin with 66016029 relations and 48084780 unique ideals
Mon Dec 28 18:14:19 2009  reduce to 65990094 relations and 46879740 ideals in 6 passes
Mon Dec 28 18:14:19 2009  max relations containing the same ideal: 20
Mon Dec 28 18:15:17 2009  removing 1586724 relations and 1186724 ideals in 400000 cliques
Mon Dec 28 18:15:19 2009  commencing in-memory singleton removal
Mon Dec 28 18:15:30 2009  begin with 64403370 relations and 46879740 unique ideals
Mon Dec 28 18:16:22 2009  reduce to 64377949 relations and 45667438 ideals in 5 passes
Mon Dec 28 18:16:22 2009  max relations containing the same ideal: 20
Mon Dec 28 18:17:07 2009  removing 1581362 relations and 1181362 ideals in 400000 cliques
Mon Dec 28 18:17:09 2009  commencing in-memory singleton removal
Mon Dec 28 18:17:17 2009  begin with 62796587 relations and 45667438 unique ideals
Mon Dec 28 18:18:12 2009  reduce to 62770500 relations and 44459824 ideals in 6 passes
Mon Dec 28 18:18:12 2009  max relations containing the same ideal: 20
Mon Dec 28 18:18:55 2009  removing 1566468 relations and 1166468 ideals in 400000 cliques
Mon Dec 28 18:18:57 2009  commencing in-memory singleton removal
Mon Dec 28 18:19:04 2009  begin with 61204032 relations and 44459824 unique ideals
Mon Dec 28 18:19:54 2009  reduce to 61176118 relations and 43265250 ideals in 6 passes
Mon Dec 28 18:19:54 2009  max relations containing the same ideal: 19
Mon Dec 28 18:20:33 2009  removing 1570072 relations and 1170072 ideals in 400000 cliques
Mon Dec 28 18:20:34 2009  commencing in-memory singleton removal
Mon Dec 28 18:20:41 2009  begin with 59606046 relations and 43265250 unique ideals
Mon Dec 28 18:21:29 2009  reduce to 59577868 relations and 42066797 ideals in 6 passes
Mon Dec 28 18:21:29 2009  max relations containing the same ideal: 19
Mon Dec 28 18:22:06 2009  removing 1561241 relations and 1161241 ideals in 400000 cliques
Mon Dec 28 18:22:07 2009  commencing in-memory singleton removal
Mon Dec 28 18:22:14 2009  begin with 58016627 relations and 42066797 unique ideals
Mon Dec 28 18:22:52 2009  reduce to 57986938 relations and 40875694 ideals in 5 passes
Mon Dec 28 18:22:52 2009  max relations containing the same ideal: 19
Mon Dec 28 18:23:29 2009  removing 1559774 relations and 1159774 ideals in 400000 cliques
Mon Dec 28 18:23:30 2009  commencing in-memory singleton removal
Mon Dec 28 18:23:36 2009  begin with 56427164 relations and 40875694 unique ideals
Mon Dec 28 18:24:21 2009  reduce to 56396353 relations and 39684877 ideals in 6 passes
Mon Dec 28 18:24:21 2009  max relations containing the same ideal: 19
Mon Dec 28 18:24:55 2009  removing 1551881 relations and 1151881 ideals in 400000 cliques
Mon Dec 28 18:24:57 2009  commencing in-memory singleton removal
Mon Dec 28 18:25:03 2009  begin with 54844472 relations and 39684877 unique ideals
Mon Dec 28 18:25:39 2009  reduce to 54811906 relations and 38500159 ideals in 5 passes
Mon Dec 28 18:25:39 2009  max relations containing the same ideal: 18
Mon Dec 28 18:26:12 2009  removing 1550019 relations and 1150019 ideals in 400000 cliques
Mon Dec 28 18:26:14 2009  commencing in-memory singleton removal
Mon Dec 28 18:26:20 2009  begin with 53261887 relations and 38500159 unique ideals
Mon Dec 28 18:26:54 2009  reduce to 53228585 relations and 37316596 ideals in 5 passes
Mon Dec 28 18:26:54 2009  max relations containing the same ideal: 18
Mon Dec 28 18:27:26 2009  removing 1548249 relations and 1148249 ideals in 400000 cliques
Mon Dec 28 18:27:28 2009  commencing in-memory singleton removal
Mon Dec 28 18:27:34 2009  begin with 51680336 relations and 37316596 unique ideals
Mon Dec 28 18:28:14 2009  reduce to 51645913 relations and 36133642 ideals in 6 passes
Mon Dec 28 18:28:14 2009  max relations containing the same ideal: 18
Mon Dec 28 18:28:45 2009  removing 1555123 relations and 1155123 ideals in 400000 cliques
Mon Dec 28 18:28:46 2009  commencing in-memory singleton removal
Mon Dec 28 18:28:52 2009  begin with 50090790 relations and 36133642 unique ideals
Mon Dec 28 18:29:24 2009  reduce to 50057717 relations and 34945163 ideals in 5 passes
Mon Dec 28 18:29:24 2009  max relations containing the same ideal: 18
Mon Dec 28 18:29:54 2009  removing 1545394 relations and 1145394 ideals in 400000 cliques
Mon Dec 28 18:29:55 2009  commencing in-memory singleton removal
Mon Dec 28 18:30:00 2009  begin with 48512323 relations and 34945163 unique ideals
Mon Dec 28 18:30:31 2009  reduce to 48478140 relations and 33765273 ideals in 5 passes
Mon Dec 28 18:30:31 2009  max relations containing the same ideal: 18
Mon Dec 28 18:31:00 2009  removing 1543237 relations and 1143237 ideals in 400000 cliques
Mon Dec 28 18:31:02 2009  commencing in-memory singleton removal
Mon Dec 28 18:31:07 2009  begin with 46934903 relations and 33765273 unique ideals
Mon Dec 28 18:31:42 2009  reduce to 46899657 relations and 32586499 ideals in 6 passes
Mon Dec 28 18:31:42 2009  max relations containing the same ideal: 18
Mon Dec 28 18:32:10 2009  removing 1542821 relations and 1142821 ideals in 400000 cliques
Mon Dec 28 18:32:11 2009  commencing in-memory singleton removal
Mon Dec 28 18:32:16 2009  begin with 45356836 relations and 32586499 unique ideals
Mon Dec 28 18:32:51 2009  reduce to 45320381 relations and 31406886 ideals in 6 passes
Mon Dec 28 18:32:51 2009  max relations containing the same ideal: 18
Mon Dec 28 18:33:18 2009  removing 1545060 relations and 1145060 ideals in 400000 cliques
Mon Dec 28 18:33:19 2009  commencing in-memory singleton removal
Mon Dec 28 18:33:23 2009  begin with 43775321 relations and 31406886 unique ideals
Mon Dec 28 18:33:56 2009  reduce to 43736810 relations and 30222950 ideals in 6 passes
Mon Dec 28 18:33:56 2009  max relations containing the same ideal: 18
Mon Dec 28 18:34:22 2009  removing 1544719 relations and 1144719 ideals in 400000 cliques
Mon Dec 28 18:34:23 2009  commencing in-memory singleton removal
Mon Dec 28 18:34:27 2009  begin with 42192091 relations and 30222950 unique ideals
Mon Dec 28 18:34:53 2009  reduce to 42152337 relations and 29038106 ideals in 5 passes
Mon Dec 28 18:34:53 2009  max relations containing the same ideal: 17
Mon Dec 28 18:35:18 2009  removing 1545453 relations and 1145453 ideals in 400000 cliques
Mon Dec 28 18:35:19 2009  commencing in-memory singleton removal
Mon Dec 28 18:35:23 2009  begin with 40606884 relations and 29038106 unique ideals
Mon Dec 28 18:35:53 2009  reduce to 40565276 relations and 27850622 ideals in 6 passes
Mon Dec 28 18:35:53 2009  max relations containing the same ideal: 17
Mon Dec 28 18:36:17 2009  removing 1549759 relations and 1149759 ideals in 400000 cliques
Mon Dec 28 18:36:18 2009  commencing in-memory singleton removal
Mon Dec 28 18:36:22 2009  begin with 39015517 relations and 27850622 unique ideals
Mon Dec 28 18:36:50 2009  reduce to 38971921 relations and 26656860 ideals in 6 passes
Mon Dec 28 18:36:50 2009  max relations containing the same ideal: 17
Mon Dec 28 18:37:13 2009  removing 1553343 relations and 1153343 ideals in 400000 cliques
Mon Dec 28 18:37:14 2009  commencing in-memory singleton removal
Mon Dec 28 18:37:17 2009  begin with 37418578 relations and 26656860 unique ideals
Mon Dec 28 18:37:40 2009  reduce to 37372598 relations and 25457095 ideals in 5 passes
Mon Dec 28 18:37:40 2009  max relations containing the same ideal: 17
Mon Dec 28 18:38:01 2009  removing 1556830 relations and 1156830 ideals in 400000 cliques
Mon Dec 28 18:38:02 2009  commencing in-memory singleton removal
Mon Dec 28 18:38:06 2009  begin with 35815768 relations and 25457095 unique ideals
Mon Dec 28 18:38:31 2009  reduce to 35768103 relations and 24252099 ideals in 6 passes
Mon Dec 28 18:38:31 2009  max relations containing the same ideal: 16
Mon Dec 28 18:38:52 2009  removing 1226739 relations and 931065 ideals in 295674 cliques
Mon Dec 28 18:38:53 2009  commencing in-memory singleton removal
Mon Dec 28 18:38:56 2009  begin with 34541364 relations and 24252099 unique ideals
Mon Dec 28 18:39:20 2009  reduce to 34513771 relations and 23293243 ideals in 6 passes
Mon Dec 28 18:39:20 2009  max relations containing the same ideal: 16
Mon Dec 28 18:39:42 2009  relations with 0 large ideals: 2459405
Mon Dec 28 18:39:42 2009  relations with 1 large ideals: 8766763
Mon Dec 28 18:39:42 2009  relations with 2 large ideals: 12817882
Mon Dec 28 18:39:42 2009  relations with 3 large ideals: 8080794
Mon Dec 28 18:39:42 2009  relations with 4 large ideals: 2105072
Mon Dec 28 18:39:42 2009  relations with 5 large ideals: 146896
Mon Dec 28 18:39:42 2009  relations with 6 large ideals: 54591
Mon Dec 28 18:39:42 2009  relations with 7+ large ideals: 82368
Mon Dec 28 18:39:42 2009  commencing 2-way merge
Mon Dec 28 18:40:07 2009  reduce to 22701889 relation sets and 11481361 unique ideals
Mon Dec 28 18:40:07 2009  commencing full merge
Mon Dec 28 18:42:32 2009  memory use: 1085.0 MB
Mon Dec 28 18:42:34 2009  found 11988702 cycles, need 11481561
Mon Dec 28 18:42:39 2009  weight of 11481561 cycles is about 922493691 (80.35/cycle)
Mon Dec 28 18:42:39 2009  distribution of cycle lengths:
Mon Dec 28 18:42:39 2009  1 relations: 2476544
Mon Dec 28 18:42:39 2009  2 relations: 1124078
Mon Dec 28 18:42:39 2009  3 relations: 976413
Mon Dec 28 18:42:39 2009  4 relations: 902066
Mon Dec 28 18:42:39 2009  5 relations: 866364
Mon Dec 28 18:42:39 2009  6 relations: 798386
Mon Dec 28 18:42:39 2009  7 relations: 732632
Mon Dec 28 18:42:39 2009  8 relations: 657213
Mon Dec 28 18:42:39 2009  9 relations: 582765
Mon Dec 28 18:42:39 2009  10+ relations: 2365100
Mon Dec 28 18:42:39 2009  heaviest cycle: 20 relations
Mon Dec 28 18:42:39 2009  matrix can improve, retrying
Mon Dec 28 18:42:41 2009  reading large ideals from disk
Mon Dec 28 18:45:47 2009  keeping 111059021 ideals with weight <= 25, target excess is 9583041
Mon Dec 28 18:48:45 2009  memory use: 3715.2 MB
Mon Dec 28 18:48:45 2009  commencing in-memory singleton removal
Mon Dec 28 18:49:07 2009  begin with 144262762 relations and 111059021 unique ideals
Mon Dec 28 18:53:57 2009  reduce to 144240109 relations and 111036368 ideals in 12 passes
Mon Dec 28 18:53:57 2009  max relations containing the same ideal: 25
Mon Dec 28 18:55:52 2009  removing 4653261 relations and 4253261 ideals in 400000 cliques
Mon Dec 28 18:55:56 2009  commencing in-memory singleton removal
Mon Dec 28 18:56:18 2009  begin with 139586848 relations and 111036368 unique ideals
Mon Dec 28 18:59:57 2009  reduce to 139505934 relations and 106701846 ideals in 9 passes
Mon Dec 28 18:59:57 2009  max relations containing the same ideal: 25
Mon Dec 28 19:01:50 2009  removing 3405154 relations and 3005154 ideals in 400000 cliques
Mon Dec 28 19:01:53 2009  commencing in-memory singleton removal
Mon Dec 28 19:02:15 2009  begin with 136100780 relations and 106701846 unique ideals
Mon Dec 28 19:06:05 2009  reduce to 136053530 relations and 103649286 ideals in 10 passes
Mon Dec 28 19:06:05 2009  max relations containing the same ideal: 25
Mon Dec 28 19:07:49 2009  removing 2998809 relations and 2598809 ideals in 400000 cliques
Mon Dec 28 19:07:52 2009  commencing in-memory singleton removal
Mon Dec 28 19:08:12 2009  begin with 133054721 relations and 103649286 unique ideals
Mon Dec 28 19:10:45 2009  reduce to 133017364 relations and 101013007 ideals in 7 passes
Mon Dec 28 19:10:45 2009  max relations containing the same ideal: 25
Mon Dec 28 19:12:27 2009  removing 2760066 relations and 2360066 ideals in 400000 cliques
Mon Dec 28 19:12:30 2009  commencing in-memory singleton removal
Mon Dec 28 19:12:49 2009  begin with 130257298 relations and 101013007 unique ideals
Mon Dec 28 19:15:56 2009  reduce to 130224320 relations and 98619851 ideals in 7 passes
Mon Dec 28 19:15:56 2009  max relations containing the same ideal: 25
Mon Dec 28 19:18:05 2009  removing 2590081 relations and 2190081 ideals in 400000 cliques
Mon Dec 28 19:18:08 2009  commencing in-memory singleton removal
Mon Dec 28 19:18:29 2009  begin with 127634239 relations and 98619851 unique ideals
Mon Dec 28 19:20:56 2009  reduce to 127604045 relations and 96399489 ideals in 7 passes
Mon Dec 28 19:20:56 2009  max relations containing the same ideal: 25
Mon Dec 28 19:22:33 2009  removing 2464655 relations and 2064655 ideals in 400000 cliques
Mon Dec 28 19:22:36 2009  commencing in-memory singleton removal
Mon Dec 28 19:22:54 2009  begin with 125139390 relations and 96399489 unique ideals
Mon Dec 28 19:24:56 2009  reduce to 125112098 relations and 94307456 ideals in 6 passes
Mon Dec 28 19:24:56 2009  max relations containing the same ideal: 25
Mon Dec 28 19:26:30 2009  removing 2365091 relations and 1965091 ideals in 400000 cliques
Mon Dec 28 19:26:33 2009  commencing in-memory singleton removal
Mon Dec 28 19:26:50 2009  begin with 122747007 relations and 94307456 unique ideals
Mon Dec 28 19:28:49 2009  reduce to 122720950 relations and 92316222 ideals in 6 passes
Mon Dec 28 19:28:49 2009  max relations containing the same ideal: 25
Mon Dec 28 19:30:21 2009  removing 2281711 relations and 1881711 ideals in 400000 cliques
Mon Dec 28 19:30:24 2009  commencing in-memory singleton removal
Mon Dec 28 19:30:41 2009  begin with 120439239 relations and 92316222 unique ideals
Mon Dec 28 19:32:57 2009  reduce to 120414621 relations and 90409824 ideals in 7 passes
Mon Dec 28 19:32:57 2009  max relations containing the same ideal: 25
Mon Dec 28 19:34:30 2009  removing 2206998 relations and 1806998 ideals in 400000 cliques
Mon Dec 28 19:34:33 2009  commencing in-memory singleton removal
Mon Dec 28 19:34:51 2009  begin with 118207623 relations and 90409824 unique ideals
Mon Dec 28 19:36:53 2009  reduce to 118182907 relations and 88578057 ideals in 6 passes
Mon Dec 28 19:36:53 2009  max relations containing the same ideal: 25
Mon Dec 28 19:38:29 2009  removing 2150816 relations and 1750816 ideals in 400000 cliques
Mon Dec 28 19:38:32 2009  commencing in-memory singleton removal
Mon Dec 28 19:38:50 2009  begin with 116032091 relations and 88578057 unique ideals
Mon Dec 28 19:41:11 2009  reduce to 116008879 relations and 86803952 ideals in 7 passes
Mon Dec 28 19:41:11 2009  max relations containing the same ideal: 25
Mon Dec 28 19:42:45 2009  removing 2101558 relations and 1701558 ideals in 400000 cliques
Mon Dec 28 19:42:47 2009  commencing in-memory singleton removal
Mon Dec 28 19:43:05 2009  begin with 113907321 relations and 86803952 unique ideals
Mon Dec 28 19:44:44 2009  reduce to 113884923 relations and 85079920 ideals in 5 passes
Mon Dec 28 19:44:44 2009  max relations containing the same ideal: 25
Mon Dec 28 19:46:18 2009  removing 2051976 relations and 1651976 ideals in 400000 cliques
Mon Dec 28 19:46:21 2009  commencing in-memory singleton removal
Mon Dec 28 19:46:39 2009  begin with 111832947 relations and 85079920 unique ideals
Mon Dec 28 19:48:58 2009  reduce to 111811108 relations and 83406038 ideals in 7 passes
Mon Dec 28 19:48:58 2009  max relations containing the same ideal: 25
Mon Dec 28 19:50:29 2009  removing 2009717 relations and 1609717 ideals in 400000 cliques
Mon Dec 28 19:50:32 2009  commencing in-memory singleton removal
Mon Dec 28 19:50:49 2009  begin with 109801391 relations and 83406038 unique ideals
Mon Dec 28 19:53:05 2009  reduce to 109779034 relations and 81773899 ideals in 7 passes
Mon Dec 28 19:53:05 2009  max relations containing the same ideal: 25
Mon Dec 28 19:54:29 2009  removing 1975898 relations and 1575898 ideals in 400000 cliques
Mon Dec 28 19:54:31 2009  commencing in-memory singleton removal
Mon Dec 28 19:54:47 2009  begin with 107803136 relations and 81773899 unique ideals
Mon Dec 28 19:56:31 2009  reduce to 107782443 relations and 80177254 ideals in 6 passes
Mon Dec 28 19:56:31 2009  max relations containing the same ideal: 25
Mon Dec 28 19:57:50 2009  removing 1936524 relations and 1536524 ideals in 400000 cliques
Mon Dec 28 19:57:53 2009  commencing in-memory singleton removal
Mon Dec 28 19:58:08 2009  begin with 105845919 relations and 80177254 unique ideals
Mon Dec 28 19:59:50 2009  reduce to 105824753 relations and 78619493 ideals in 6 passes
Mon Dec 28 19:59:50 2009  max relations containing the same ideal: 25
Mon Dec 28 20:01:08 2009  removing 1903949 relations and 1503949 ideals in 400000 cliques
Mon Dec 28 20:01:10 2009  commencing in-memory singleton removal
Mon Dec 28 20:01:24 2009  begin with 103920804 relations and 78619493 unique ideals
Mon Dec 28 20:03:03 2009  reduce to 103899303 relations and 77093972 ideals in 6 passes
Mon Dec 28 20:03:03 2009  max relations containing the same ideal: 25
Mon Dec 28 20:04:21 2009  removing 1881091 relations and 1481091 ideals in 400000 cliques
Mon Dec 28 20:04:23 2009  commencing in-memory singleton removal
Mon Dec 28 20:04:39 2009  begin with 102018212 relations and 77093972 unique ideals
Mon Dec 28 20:06:27 2009  reduce to 101996946 relations and 75591556 ideals in 6 passes
Mon Dec 28 20:06:27 2009  max relations containing the same ideal: 25
Mon Dec 28 20:07:54 2009  removing 1855585 relations and 1455585 ideals in 400000 cliques
Mon Dec 28 20:07:57 2009  commencing in-memory singleton removal
Mon Dec 28 20:08:14 2009  begin with 100141361 relations and 75591556 unique ideals
Mon Dec 28 20:09:44 2009  reduce to 100119913 relations and 74114449 ideals in 5 passes
Mon Dec 28 20:09:44 2009  max relations containing the same ideal: 25
Mon Dec 28 20:11:04 2009  removing 1823944 relations and 1423944 ideals in 400000 cliques
Mon Dec 28 20:11:06 2009  commencing in-memory singleton removal
Mon Dec 28 20:11:21 2009  begin with 98295969 relations and 74114449 unique ideals
Mon Dec 28 20:12:44 2009  reduce to 98274784 relations and 72669245 ideals in 5 passes
Mon Dec 28 20:12:44 2009  max relations containing the same ideal: 25
Mon Dec 28 20:14:00 2009  removing 1807055 relations and 1407055 ideals in 400000 cliques
Mon Dec 28 20:14:03 2009  commencing in-memory singleton removal
Mon Dec 28 20:14:17 2009  begin with 96467729 relations and 72669245 unique ideals
Mon Dec 28 20:15:53 2009  reduce to 96447448 relations and 71241843 ideals in 6 passes
Mon Dec 28 20:15:53 2009  max relations containing the same ideal: 25
Mon Dec 28 20:17:08 2009  removing 1788517 relations and 1388517 ideals in 400000 cliques
Mon Dec 28 20:17:10 2009  commencing in-memory singleton removal
Mon Dec 28 20:17:24 2009  begin with 94658931 relations and 71241843 unique ideals
Mon Dec 28 20:18:59 2009  reduce to 94638961 relations and 69833289 ideals in 6 passes
Mon Dec 28 20:18:59 2009  max relations containing the same ideal: 25
Mon Dec 28 20:20:13 2009  removing 1761087 relations and 1361087 ideals in 400000 cliques
Mon Dec 28 20:20:16 2009  commencing in-memory singleton removal
Mon Dec 28 20:20:30 2009  begin with 92877874 relations and 69833289 unique ideals
Mon Dec 28 20:21:49 2009  reduce to 92856572 relations and 68450819 ideals in 5 passes
Mon Dec 28 20:21:49 2009  max relations containing the same ideal: 25
Mon Dec 28 20:22:57 2009  removing 1751710 relations and 1351710 ideals in 400000 cliques
Mon Dec 28 20:22:59 2009  commencing in-memory singleton removal
Mon Dec 28 20:23:12 2009  begin with 91104862 relations and 68450819 unique ideals
Mon Dec 28 20:24:52 2009  reduce to 91084202 relations and 67078378 ideals in 7 passes
Mon Dec 28 20:24:52 2009  max relations containing the same ideal: 25
Mon Dec 28 20:26:01 2009  removing 1743101 relations and 1343101 ideals in 400000 cliques
Mon Dec 28 20:26:03 2009  commencing in-memory singleton removal
Mon Dec 28 20:26:16 2009  begin with 89341101 relations and 67078378 unique ideals
Mon Dec 28 20:27:25 2009  reduce to 89320979 relations and 65715078 ideals in 5 passes
Mon Dec 28 20:27:25 2009  max relations containing the same ideal: 25
Mon Dec 28 20:28:29 2009  removing 1717629 relations and 1317629 ideals in 400000 cliques
Mon Dec 28 20:28:31 2009  commencing in-memory singleton removal
Mon Dec 28 20:28:43 2009  begin with 87603350 relations and 65715078 unique ideals
Mon Dec 28 20:30:05 2009  reduce to 87582429 relations and 64376437 ideals in 6 passes
Mon Dec 28 20:30:05 2009  max relations containing the same ideal: 25
Mon Dec 28 20:31:08 2009  removing 1704739 relations and 1304739 ideals in 400000 cliques
Mon Dec 28 20:31:10 2009  commencing in-memory singleton removal
Mon Dec 28 20:31:22 2009  begin with 85877690 relations and 64376437 unique ideals
Mon Dec 28 20:32:28 2009  reduce to 85855917 relations and 63049840 ideals in 5 passes
Mon Dec 28 20:32:28 2009  max relations containing the same ideal: 25
Mon Dec 28 20:33:28 2009  removing 1687743 relations and 1287743 ideals in 400000 cliques
Mon Dec 28 20:33:30 2009  commencing in-memory singleton removal
Mon Dec 28 20:33:41 2009  begin with 84168174 relations and 63049840 unique ideals
Mon Dec 28 20:34:53 2009  reduce to 84145527 relations and 61739370 ideals in 5 passes
Mon Dec 28 20:34:53 2009  max relations containing the same ideal: 25
Mon Dec 28 20:36:06 2009  removing 1678488 relations and 1278488 ideals in 400000 cliques
Mon Dec 28 20:36:09 2009  commencing in-memory singleton removal
Mon Dec 28 20:36:23 2009  begin with 82467039 relations and 61739370 unique ideals
Mon Dec 28 20:37:54 2009  reduce to 82445072 relations and 60438814 ideals in 6 passes
Mon Dec 28 20:37:54 2009  max relations containing the same ideal: 25
Mon Dec 28 20:39:05 2009  removing 1674504 relations and 1274504 ideals in 400000 cliques
Mon Dec 28 20:39:07 2009  commencing in-memory singleton removal
Mon Dec 28 20:39:21 2009  begin with 80770568 relations and 60438814 unique ideals
Mon Dec 28 20:40:33 2009  reduce to 80750965 relations and 59144624 ideals in 5 passes
Mon Dec 28 20:40:33 2009  max relations containing the same ideal: 25
Mon Dec 28 20:41:41 2009  removing 1639739 relations and 1239739 ideals in 400000 cliques
Mon Dec 28 20:41:43 2009  commencing in-memory singleton removal
Mon Dec 28 20:41:56 2009  begin with 79111226 relations and 59144624 unique ideals
Mon Dec 28 20:43:07 2009  reduce to 79089705 relations and 57883273 ideals in 5 passes
Mon Dec 28 20:43:07 2009  max relations containing the same ideal: 25
Mon Dec 28 20:44:13 2009  removing 1654294 relations and 1254294 ideals in 400000 cliques
Mon Dec 28 20:44:15 2009  commencing in-memory singleton removal
Mon Dec 28 20:44:28 2009  begin with 77435411 relations and 57883273 unique ideals
Mon Dec 28 20:45:51 2009  reduce to 77415027 relations and 56608515 ideals in 6 passes
Mon Dec 28 20:45:51 2009  max relations containing the same ideal: 25
Mon Dec 28 20:46:57 2009  removing 1628900 relations and 1228900 ideals in 400000 cliques
Mon Dec 28 20:46:58 2009  commencing in-memory singleton removal
Mon Dec 28 20:47:11 2009  begin with 75786127 relations and 56608515 unique ideals
Mon Dec 28 20:48:47 2009  reduce to 75764462 relations and 55357845 ideals in 7 passes
Mon Dec 28 20:48:47 2009  max relations containing the same ideal: 25
Mon Dec 28 20:49:51 2009  removing 1622476 relations and 1222476 ideals in 400000 cliques
Mon Dec 28 20:49:53 2009  commencing in-memory singleton removal
Mon Dec 28 20:50:05 2009  begin with 74141986 relations and 55357845 unique ideals
Mon Dec 28 20:51:24 2009  reduce to 74119043 relations and 54112317 ideals in 6 passes
Mon Dec 28 20:51:24 2009  max relations containing the same ideal: 25
Mon Dec 28 20:52:26 2009  removing 1604074 relations and 1204074 ideals in 400000 cliques
Mon Dec 28 20:52:28 2009  commencing in-memory singleton removal
Mon Dec 28 20:52:40 2009  begin with 72514969 relations and 54112317 unique ideals
Mon Dec 28 20:53:58 2009  reduce to 72489890 relations and 52883039 ideals in 6 passes
Mon Dec 28 20:53:58 2009  max relations containing the same ideal: 25
Mon Dec 28 20:54:59 2009  removing 1625489 relations and 1225489 ideals in 400000 cliques
Mon Dec 28 20:55:01 2009  commencing in-memory singleton removal
Mon Dec 28 20:55:13 2009  begin with 70864401 relations and 52883039 unique ideals
Mon Dec 28 20:56:17 2009  reduce to 70841599 relations and 51634625 ideals in 5 passes
Mon Dec 28 20:56:17 2009  max relations containing the same ideal: 25
Mon Dec 28 20:57:16 2009  removing 1606356 relations and 1206356 ideals in 400000 cliques
Mon Dec 28 20:57:18 2009  commencing in-memory singleton removal
Mon Dec 28 20:57:29 2009  begin with 69235243 relations and 51634625 unique ideals
Mon Dec 28 20:58:31 2009  reduce to 69212505 relations and 50405400 ideals in 5 passes
Mon Dec 28 20:58:31 2009  max relations containing the same ideal: 24
Mon Dec 28 20:59:29 2009  removing 1594404 relations and 1194404 ideals in 400000 cliques
Mon Dec 28 20:59:31 2009  commencing in-memory singleton removal
Mon Dec 28 20:59:42 2009  begin with 67618101 relations and 50405400 unique ideals
Mon Dec 28 21:00:41 2009  reduce to 67594251 relations and 49187024 ideals in 5 passes
Mon Dec 28 21:00:41 2009  max relations containing the same ideal: 24
Mon Dec 28 21:01:38 2009  removing 1579363 relations and 1179363 ideals in 400000 cliques
Mon Dec 28 21:01:40 2009  commencing in-memory singleton removal
Mon Dec 28 21:01:50 2009  begin with 66014888 relations and 49187024 unique ideals
Mon Dec 28 21:03:01 2009  reduce to 65989059 relations and 47981674 ideals in 6 passes
Mon Dec 28 21:03:01 2009  max relations containing the same ideal: 23
Mon Dec 28 21:03:57 2009  removing 1584974 relations and 1184974 ideals in 400000 cliques
Mon Dec 28 21:03:59 2009  commencing in-memory singleton removal
Mon Dec 28 21:04:10 2009  begin with 64404085 relations and 47981674 unique ideals
Mon Dec 28 21:05:09 2009  reduce to 64378480 relations and 46770934 ideals in 5 passes
Mon Dec 28 21:05:09 2009  max relations containing the same ideal: 23
Mon Dec 28 21:06:05 2009  removing 1581964 relations and 1181964 ideals in 400000 cliques
Mon Dec 28 21:06:06 2009  commencing in-memory singleton removal
Mon Dec 28 21:06:17 2009  begin with 62796516 relations and 46770934 unique ideals
Mon Dec 28 21:07:23 2009  reduce to 62770461 relations and 45562766 ideals in 6 passes
Mon Dec 28 21:07:23 2009  max relations containing the same ideal: 22
Mon Dec 28 21:08:16 2009  removing 1565902 relations and 1165902 ideals in 400000 cliques
Mon Dec 28 21:08:17 2009  commencing in-memory singleton removal
Mon Dec 28 21:08:27 2009  begin with 61204559 relations and 45562766 unique ideals
Mon Dec 28 21:09:33 2009  reduce to 61176580 relations and 44368696 ideals in 6 passes
Mon Dec 28 21:09:33 2009  max relations containing the same ideal: 22
Mon Dec 28 21:10:23 2009  removing 1572819 relations and 1172819 ideals in 400000 cliques
Mon Dec 28 21:10:25 2009  commencing in-memory singleton removal
Mon Dec 28 21:10:35 2009  begin with 59603761 relations and 44368696 unique ideals
Mon Dec 28 21:11:37 2009  reduce to 59575793 relations and 43167734 ideals in 6 passes
Mon Dec 28 21:11:37 2009  max relations containing the same ideal: 22
Mon Dec 28 21:12:27 2009  removing 1559480 relations and 1159480 ideals in 400000 cliques
Mon Dec 28 21:12:29 2009  commencing in-memory singleton removal
Mon Dec 28 21:12:38 2009  begin with 58016313 relations and 43167734 unique ideals
Mon Dec 28 21:13:30 2009  reduce to 57986459 relations and 41978215 ideals in 5 passes
Mon Dec 28 21:13:30 2009  max relations containing the same ideal: 21
Mon Dec 28 21:14:19 2009  removing 1558368 relations and 1158368 ideals in 400000 cliques
Mon Dec 28 21:14:20 2009  commencing in-memory singleton removal
Mon Dec 28 21:14:29 2009  begin with 56428091 relations and 41978215 unique ideals
Mon Dec 28 21:15:19 2009  reduce to 56397026 relations and 40788545 ideals in 5 passes
Mon Dec 28 21:15:19 2009  max relations containing the same ideal: 21
Mon Dec 28 21:16:05 2009  removing 1554350 relations and 1154350 ideals in 400000 cliques
Mon Dec 28 21:16:07 2009  commencing in-memory singleton removal
Mon Dec 28 21:16:16 2009  begin with 54842676 relations and 40788545 unique ideals
Mon Dec 28 21:17:04 2009  reduce to 54810700 relations and 39601983 ideals in 5 passes
Mon Dec 28 21:17:04 2009  max relations containing the same ideal: 21
Mon Dec 28 21:17:49 2009  removing 1549659 relations and 1149659 ideals in 400000 cliques
Mon Dec 28 21:17:51 2009  commencing in-memory singleton removal
Mon Dec 28 21:17:59 2009  begin with 53261041 relations and 39601983 unique ideals
Mon Dec 28 21:18:45 2009  reduce to 53227837 relations and 38418864 ideals in 5 passes
Mon Dec 28 21:18:45 2009  max relations containing the same ideal: 21
Mon Dec 28 21:19:28 2009  removing 1548470 relations and 1148470 ideals in 400000 cliques
Mon Dec 28 21:19:30 2009  commencing in-memory singleton removal
Mon Dec 28 21:19:38 2009  begin with 51679367 relations and 38418864 unique ideals
Mon Dec 28 21:20:30 2009  reduce to 51644915 relations and 37235682 ideals in 6 passes
Mon Dec 28 21:20:30 2009  max relations containing the same ideal: 21
Mon Dec 28 21:21:12 2009  removing 1553083 relations and 1153083 ideals in 400000 cliques
Mon Dec 28 21:21:13 2009  commencing in-memory singleton removal
Mon Dec 28 21:21:21 2009  begin with 50091832 relations and 37235682 unique ideals
Mon Dec 28 21:22:04 2009  reduce to 50058327 relations and 36048803 ideals in 5 passes
Mon Dec 28 21:22:04 2009  max relations containing the same ideal: 21
Mon Dec 28 21:22:44 2009  removing 1550668 relations and 1150668 ideals in 400000 cliques
Mon Dec 28 21:22:46 2009  commencing in-memory singleton removal
Mon Dec 28 21:22:53 2009  begin with 48507659 relations and 36048803 unique ideals
Mon Dec 28 21:23:43 2009  reduce to 48473670 relations and 34863844 ideals in 6 passes
Mon Dec 28 21:23:43 2009  max relations containing the same ideal: 21
Mon Dec 28 21:24:23 2009  removing 1541966 relations and 1141966 ideals in 400000 cliques
Mon Dec 28 21:24:25 2009  commencing in-memory singleton removal
Mon Dec 28 21:24:32 2009  begin with 46931704 relations and 34863844 unique ideals
Mon Dec 28 21:25:18 2009  reduce to 46896086 relations and 33685963 ideals in 6 passes
Mon Dec 28 21:25:18 2009  max relations containing the same ideal: 20
Mon Dec 28 21:25:56 2009  removing 1545266 relations and 1145266 ideals in 400000 cliques
Mon Dec 28 21:25:57 2009  commencing in-memory singleton removal
Mon Dec 28 21:26:04 2009  begin with 45350820 relations and 33685963 unique ideals
Mon Dec 28 21:26:49 2009  reduce to 45313967 relations and 32503508 ideals in 6 passes
Mon Dec 28 21:26:49 2009  max relations containing the same ideal: 20
Mon Dec 28 21:27:26 2009  removing 1547885 relations and 1147885 ideals in 400000 cliques
Mon Dec 28 21:27:27 2009  commencing in-memory singleton removal
Mon Dec 28 21:27:34 2009  begin with 43766082 relations and 32503508 unique ideals
Mon Dec 28 21:28:17 2009  reduce to 43727593 relations and 31316783 ideals in 6 passes
Mon Dec 28 21:28:17 2009  max relations containing the same ideal: 20
Mon Dec 28 21:28:52 2009  removing 1547467 relations and 1147467 ideals in 400000 cliques
Mon Dec 28 21:28:53 2009  commencing in-memory singleton removal
Mon Dec 28 21:28:59 2009  begin with 42180126 relations and 31316783 unique ideals
Mon Dec 28 21:29:40 2009  reduce to 42139780 relations and 30128571 ideals in 6 passes
Mon Dec 28 21:29:40 2009  max relations containing the same ideal: 20
Mon Dec 28 21:30:13 2009  removing 1549306 relations and 1149306 ideals in 400000 cliques
Mon Dec 28 21:30:14 2009  commencing in-memory singleton removal
Mon Dec 28 21:30:20 2009  begin with 40590474 relations and 30128571 unique ideals
Mon Dec 28 21:31:00 2009  reduce to 40548436 relations and 28936837 ideals in 6 passes
Mon Dec 28 21:31:00 2009  max relations containing the same ideal: 20
Mon Dec 28 21:31:32 2009  removing 1554160 relations and 1154160 ideals in 400000 cliques
Mon Dec 28 21:31:33 2009  commencing in-memory singleton removal
Mon Dec 28 21:31:39 2009  begin with 38994276 relations and 28936837 unique ideals
Mon Dec 28 21:32:22 2009  reduce to 38950158 relations and 27738111 ideals in 7 passes
Mon Dec 28 21:32:22 2009  max relations containing the same ideal: 20
Mon Dec 28 21:32:52 2009  removing 1557172 relations and 1157172 ideals in 400000 cliques
Mon Dec 28 21:32:53 2009  commencing in-memory singleton removal
Mon Dec 28 21:32:59 2009  begin with 37392986 relations and 27738111 unique ideals
Mon Dec 28 21:33:40 2009  reduce to 37346046 relations and 26533520 ideals in 7 passes
Mon Dec 28 21:33:40 2009  max relations containing the same ideal: 20
Mon Dec 28 21:34:09 2009  removing 1562841 relations and 1162841 ideals in 400000 cliques
Mon Dec 28 21:34:11 2009  commencing in-memory singleton removal
Mon Dec 28 21:34:16 2009  begin with 35783205 relations and 26533520 unique ideals
Mon Dec 28 21:34:49 2009  reduce to 35734221 relations and 25321155 ideals in 6 passes
Mon Dec 28 21:34:49 2009  max relations containing the same ideal: 20
Mon Dec 28 21:35:16 2009  removing 1410833 relations and 1059961 ideals in 350872 cliques
Mon Dec 28 21:35:17 2009  commencing in-memory singleton removal
Mon Dec 28 21:35:22 2009  begin with 34323388 relations and 25321155 unique ideals
Mon Dec 28 21:35:54 2009  reduce to 34281677 relations and 24219102 ideals in 6 passes
Mon Dec 28 21:35:54 2009  max relations containing the same ideal: 20
Mon Dec 28 21:36:24 2009  relations with 0 large ideals: 1916276
Mon Dec 28 21:36:24 2009  relations with 1 large ideals: 7377899
Mon Dec 28 21:36:24 2009  relations with 2 large ideals: 12096471
Mon Dec 28 21:36:24 2009  relations with 3 large ideals: 9082669
Mon Dec 28 21:36:24 2009  relations with 4 large ideals: 3171493
Mon Dec 28 21:36:24 2009  relations with 5 large ideals: 455651
Mon Dec 28 21:36:24 2009  relations with 6 large ideals: 71921
Mon Dec 28 21:36:24 2009  relations with 7+ large ideals: 109297
Mon Dec 28 21:36:24 2009  commencing 2-way merge
Mon Dec 28 21:36:56 2009  reduce to 22480200 relation sets and 12417625 unique ideals
Mon Dec 28 21:36:56 2009  commencing full merge
Mon Dec 28 21:40:15 2009  memory use: 1163.2 MB
Mon Dec 28 21:40:18 2009  found 12173569 cycles, need 11695825
Mon Dec 28 21:40:25 2009  weight of 11695825 cycles is about 818777312 (70.01/cycle)
Mon Dec 28 21:40:25 2009  distribution of cycle lengths:
Mon Dec 28 21:40:25 2009  1 relations: 2106245
Mon Dec 28 21:40:25 2009  2 relations: 1284982
Mon Dec 28 21:40:25 2009  3 relations: 1254797
Mon Dec 28 21:40:25 2009  4 relations: 1187517
Mon Dec 28 21:40:25 2009  5 relations: 1135760
Mon Dec 28 21:40:25 2009  6 relations: 1021173
Mon Dec 28 21:40:25 2009  7 relations: 892022
Mon Dec 28 21:40:25 2009  8 relations: 750579
Mon Dec 28 21:40:25 2009  9 relations: 619199
Mon Dec 28 21:40:25 2009  10+ relations: 1443551
Mon Dec 28 21:40:25 2009  heaviest cycle: 17 relations
Mon Dec 28 21:40:27 2009  commencing cycle optimization
Mon Dec 28 21:41:00 2009  start with 59143283 relations
Mon Dec 28 21:43:16 2009  pruned 2050546 relations
Mon Dec 28 21:43:16 2009  memory use: 1937.3 MB
Mon Dec 28 21:43:16 2009  distribution of cycle lengths:
Mon Dec 28 21:43:16 2009  1 relations: 2106245
Mon Dec 28 21:43:16 2009  2 relations: 1321662
Mon Dec 28 21:43:16 2009  3 relations: 1310413
Mon Dec 28 21:43:16 2009  4 relations: 1236092
Mon Dec 28 21:43:16 2009  5 relations: 1188616
Mon Dec 28 21:43:16 2009  6 relations: 1059145
Mon Dec 28 21:43:16 2009  7 relations: 920676
Mon Dec 28 21:43:16 2009  8 relations: 758881
Mon Dec 28 21:43:16 2009  9 relations: 609751
Mon Dec 28 21:43:16 2009  10+ relations: 1184344
Mon Dec 28 21:43:16 2009  heaviest cycle: 17 relations
Mon Dec 28 21:43:29 2009  RelProcTime: 31588
Mon Dec 28 21:43:29 2009  elapsed time 08:46:31

Mon Dec 28 21:45:05 2009  Msieve v. 1.44
Mon Dec 28 21:45:05 2009  random seeds: 9df1fa87 f861fb25
Mon Dec 28 21:45:05 2009  factoring 600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 (243 digits)
Mon Dec 28 21:45:08 2009  searching for 15-digit factors
Mon Dec 28 21:45:08 2009  commencing number field sieve (243-digit input)
Mon Dec 28 21:45:08 2009  R0:  20000000000000000000000000000000000000000
Mon Dec 28 21:45:08 2009  R1: -1
Mon Dec 28 21:45:08 2009  A0:  8
Mon Dec 28 21:45:08 2009  A1:  0
Mon Dec 28 21:45:08 2009  A2:  0
Mon Dec 28 21:45:08 2009  A3:  0
Mon Dec 28 21:45:08 2009  A4:  0
Mon Dec 28 21:45:08 2009  A5:  0
Mon Dec 28 21:45:08 2009  A6:  75
Mon Dec 28 21:45:08 2009  skew 0.84, size 3.148256e-12, alpha 1.908492, combined = 2.823712e-13
Mon Dec 28 21:45:08 2009  
Mon Dec 28 21:45:08 2009  commencing linear algebra
Mon Dec 28 21:45:10 2009  read 11695825 cycles
Mon Dec 28 21:45:45 2009  cycles contain 32718744 unique relations
Mon Dec 28 22:05:40 2009  read 32718744 relations
Mon Dec 28 22:07:10 2009  using 20 quadratic characters above 4294917296
Mon Dec 28 22:10:31 2009  building initial matrix
Mon Dec 28 22:21:05 2009  memory use: 4202.9 MB
Mon Dec 28 22:21:15 2009  read 11695825 cycles
Mon Dec 28 22:21:47 2009  matrix is 11695193 x 11695825 (3444.2 MB) with weight 995507328 (85.12/col)
Mon Dec 28 22:21:47 2009  sparse part has weight 785930143 (67.20/col)
Mon Dec 28 22:28:13 2009  filtering completed in 3 passes
Mon Dec 28 22:28:16 2009  matrix is 11676494 x 11676694 (3441.7 MB) with weight 994699498 (85.19/col)
Mon Dec 28 22:28:16 2009  sparse part has weight 785444659 (67.27/col)
Mon Dec 28 22:30:31 2009  read 11676694 cycles
Mon Dec 28 22:30:54 2009  matrix is 11676494 x 11676694 (3441.7 MB) with weight 994699498 (85.19/col)
Mon Dec 28 22:30:54 2009  sparse part has weight 785444659 (67.27/col)
Mon Dec 28 22:30:54 2009  saving the first 48 matrix rows for later
Mon Dec 28 22:31:00 2009  matrix is 11676446 x 11676694 (3304.0 MB) with weight 799958417 (68.51/col)
Mon Dec 28 22:31:00 2009  sparse part has weight 749366811 (64.18/col)
Mon Dec 28 22:31:00 2009  matrix includes 64 packed rows
Mon Dec 28 22:31:00 2009  using block size 65536 for processor cache size 4096 kB
Mon Dec 28 22:31:51 2009  commencing Lanczos iteration (4 threads)
Mon Dec 28 22:31:51 2009  memory use: 3626.7 MB
Mon Dec 28 22:34:13 2009  linear algebra at 0.0%, ETA 567h47m
.... several restarts and ~500 hours later, after figuring out that 2 threads are actually faster than 4:
Wed Jan 20 00:45:07 2010  restarting at iteration 182321 (dim = 11529254)
Wed Jan 20 00:47:41 2010  linear algebra at 98.7%, ETA 8h16m
Wed Jan 20 10:04:33 2010  lanczos halted after 184650 iterations (dim = 11676445)
Wed Jan 20 10:05:05 2010  recovered 37 nontrivial dependencies
Wed Jan 20 10:05:06 2010  BLanczosTime: 33725
Wed Jan 20 10:05:06 2010  elapsed time 09:22:08

Wed Jan 20 13:07:09 2010  Msieve v. 1.44
Wed Jan 20 13:07:09 2010  random seeds: 37e554b0 535f56c7
Wed Jan 20 13:07:09 2010  factoring 600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 (243 digits)
Wed Jan 20 13:07:11 2010  searching for 15-digit factors
Wed Jan 20 13:07:12 2010  commencing number field sieve (243-digit input)
Wed Jan 20 13:07:12 2010  R0:  20000000000000000000000000000000000000000
Wed Jan 20 13:07:12 2010  R1: -1
Wed Jan 20 13:07:12 2010  A0:  8
Wed Jan 20 13:07:12 2010  A1:  0
Wed Jan 20 13:07:12 2010  A2:  0
Wed Jan 20 13:07:12 2010  A3:  0
Wed Jan 20 13:07:12 2010  A4:  0
Wed Jan 20 13:07:12 2010  A5:  0
Wed Jan 20 13:07:12 2010  A6:  75
Wed Jan 20 13:07:12 2010  skew 0.84, size 3.148256e-12, alpha 1.908492, combined = 2.823712e-13
Wed Jan 20 13:07:12 2010  
Wed Jan 20 13:07:12 2010  commencing square root phase
Wed Jan 20 13:07:12 2010  reading relations for dependency 1
Wed Jan 20 13:07:17 2010  read 5840246 cycles
Wed Jan 20 13:07:30 2010  cycles contain 16359900 unique relations
Wed Jan 20 13:20:17 2010  read 16359900 relations
Wed Jan 20 13:22:24 2010  multiplying 16359900 relations
Wed Jan 20 13:50:07 2010  multiply complete, coefficients have about 516.32 million bits
Wed Jan 20 13:50:11 2010  initial square root is modulo 1838345749
Wed Jan 20 14:40:56 2010  sqrtTime: 5624
Wed Jan 20 14:40:56 2010  prp110 factor: 25919781365568892722384956852629495634503802901348780782570768063568310293710996482740826565327874208225740749
Wed Jan 20 14:40:56 2010  prp134 factor: 23148343403738084574786519719198785959318631918784209019174405368746958342042218577943294663688899880455296243370662891699700923071749
Wed Jan 20 14:40:56 2010  elapsed time 01:33:47
software ソフトウェア
gnfs-lasieve4I14e/gnfs-lasieve4I14e 64bit-binaries, msieve 1.44
execution environment 実行環境
Core 2 Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 27, 2009 02:00:00 UTC 2009 年 4 月 27 日 (月) 11 時 0 分 0 秒 (日本時間)
351e60--
403e650Serge BatalovApril 27, 2009 06:10:24 UTC 2009 年 4 月 27 日 (月) 15 時 10 分 24 秒 (日本時間)
4511e6255070Serge BatalovApril 27, 2009 06:10:24 UTC 2009 年 4 月 27 日 (月) 15 時 10 分 24 秒 (日本時間)
480Dmitry DomanovMay 5, 2009 13:56:34 UTC 2009 年 5 月 5 日 (火) 22 時 56 分 34 秒 (日本時間)
2000Dmitry DomanovJune 12, 2009 23:17:57 UTC 2009 年 6 月 13 日 (土) 8 時 17 分 57 秒 (日本時間)
5043e67200200Serge BatalovApril 28, 2009 16:37:33 UTC 2009 年 4 月 29 日 (水) 1 時 37 分 33 秒 (日本時間)
1300Dmitry DomanovJuly 11, 2009 01:46:17 UTC 2009 年 7 月 11 日 (土) 10 時 46 分 17 秒 (日本時間)
500Markus TervoorenSeptember 25, 2009 17:43:58 UTC 2009 年 9 月 26 日 (土) 2 時 43 分 58 秒 (日本時間)
200Markus TervoorenSeptember 26, 2009 13:11:10 UTC 2009 年 9 月 26 日 (土) 22 時 11 分 10 秒 (日本時間)
600Markus TervoorenOctober 16, 2009 03:49:57 UTC 2009 年 10 月 16 日 (金) 12 時 49 分 57 秒 (日本時間)
600Markus TervoorenOctober 19, 2009 15:17:51 UTC 2009 年 10 月 20 日 (火) 0 時 17 分 51 秒 (日本時間)
600Markus TervoorenNovember 5, 2009 20:27:36 UTC 2009 年 11 月 6 日 (金) 5 時 27 分 36 秒 (日本時間)
600Markus TervoorenNovember 9, 2009 21:40:38 UTC 2009 年 11 月 10 日 (火) 6 時 40 分 38 秒 (日本時間)
600Markus TervoorenNovember 21, 2009 02:08:02 UTC 2009 年 11 月 21 日 (土) 11 時 8 分 2 秒 (日本時間)
2000Markus TervoorenJanuary 20, 2010 13:42:13 UTC 2010 年 1 月 20 日 (水) 22 時 42 分 13 秒 (日本時間)

6×10243+1

c204

name 名前Dmitry Domanov
date 日付June 2, 2011 06:22:22 UTC 2011 年 6 月 2 日 (木) 15 時 22 分 22 秒 (日本時間)
composite number 合成数
240181259882277501623303041062220031186078813348035221086432884845603201348042073352240964449236079804640474790247421661875796515533401188271075228034939092705264798643147524732745722613837709491763355501<204>
prime factors 素因数
56252487052244287328130032241000503859115369<44>
composite cofactor 合成数の残り
4269700282926336274467321549434975508544818185404431152949209397120222893741851919446584122194729796723070708659083819846912912767980629089757807128611131344229<160>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2437190698
Step 1 took 300782ms
Step 2 took 157016ms
********** Factor found in step 2: 56252487052244287328130032241000503859115369
Found probable prime factor of 44 digits: 56252487052244287328130032241000503859115369
Composite cofactor 4269700282926336274467321549434975508544818185404431152949209397120222893741851919446584122194729796723070708659083819846912912767980629089757807128611131344229 has 160 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 27, 2009 02:00:00 UTC 2009 年 4 月 27 日 (月) 11 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovMarch 11, 2011 17:23:51 UTC 2011 年 3 月 12 日 (土) 2 時 23 分 51 秒 (日本時間)
4511e65000600Dmitry DomanovJune 1, 2011 23:26:59 UTC 2011 年 6 月 2 日 (木) 8 時 26 分 59 秒 (日本時間)
4400Serge BatalovJune 3, 2011 06:03:06 UTC 2011 年 6 月 3 日 (金) 15 時 3 分 6 秒 (日本時間)
5043e67000Wataru SakaiJune 10, 2011 05:09:01 UTC 2011 年 6 月 10 日 (金) 14 時 9 分 1 秒 (日本時間)

6×10245+1

c221

composite cofactor 合成数の残り
12515290275275522677447921732793061935758321841029560108679729030434755172127603073693023217299084935355957348545636709883130535820345086270196087344266563979905106610551523765653010191477331581620753298350470259022879661<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 27, 2009 02:00:00 UTC 2009 年 4 月 27 日 (月) 11 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovMarch 11, 2011 17:24:14 UTC 2011 年 3 月 12 日 (土) 2 時 24 分 14 秒 (日本時間)
4511e64600600Dmitry DomanovMay 31, 2011 16:37:35 UTC 2011 年 6 月 1 日 (水) 1 時 37 分 35 秒 (日本時間)
4000Dmitry DomanovJuly 25, 2011 14:06:30 UTC 2011 年 7 月 25 日 (月) 23 時 6 分 30 秒 (日本時間)
5043e60--
5511e72710 / 17479yoyo@homeNovember 9, 2011 20:25:04 UTC 2011 年 11 月 10 日 (木) 5 時 25 分 4 秒 (日本時間)

6×10246+1

c240

composite cofactor 合成数の残り
385362815558355715954977548441229890564025366378879856912217497745466961143803080115066767640287961079383262780894970456480880898290999408275396710144798151131974368491503038939049925229979711290032211835481163690370483314978288337835762607<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 27, 2009 02:00:00 UTC 2009 年 4 月 27 日 (月) 11 時 0 分 0 秒 (日本時間)
351e60--
403e62908300Serge BatalovMay 3, 2009 04:36:47 UTC 2009 年 5 月 3 日 (日) 13 時 36 分 47 秒 (日本時間)
2608Dmitry DomanovJuly 14, 2009 13:57:45 UTC 2009 年 7 月 14 日 (火) 22 時 57 分 45 秒 (日本時間)
4511e60--
5043e61105yoyo@homeFebruary 2, 2010 09:56:35 UTC 2010 年 2 月 2 日 (火) 18 時 56 分 35 秒 (日本時間)
5511e72640 / 17352yoyo@homeOctober 16, 2010 15:31:23 UTC 2010 年 10 月 17 日 (日) 0 時 31 分 23 秒 (日本時間)

6×10247+1

c247

name 名前RSALS + Tom Womack
date 日付June 8, 2010 12:04:47 UTC 2010 年 6 月 8 日 (火) 21 時 4 分 47 秒 (日本時間)
composite number 合成数
2608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826087<247>
prime factors 素因数
64502343527451756321326593416153156822188510993<47>
40443424370521824728099907957468957355291552367752848725941579690299109731436832691693984983805350191875476171634638662389386605140231027674803952914383462009298719698559670626457608130168274688117559<200>
factorization results 素因数分解の結果
<sieving by RSALS>

<entire post-processing by Tom Womack>
Sun May  9 10:12:12 2010  
Sun May  9 10:12:12 2010  
Sun May  9 10:12:12 2010  Msieve v. 1.46
Sun May  9 10:12:12 2010  random seeds: b501b660 0ecd790e
Sun May  9 10:12:12 2010  factoring 2608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826087 (247 digits)
Sun May  9 10:12:15 2010  no P-1/P+1/ECM available, skipping
Sun May  9 10:12:15 2010  commencing number field sieve (247-digit input)
Sun May  9 10:12:15 2010  R0: -100000000000000000000000000000000000000000
Sun May  9 10:12:15 2010  R1:  1
Sun May  9 10:12:15 2010  A0:  1
Sun May  9 10:12:15 2010  A1:  0
Sun May  9 10:12:15 2010  A2:  0
Sun May  9 10:12:15 2010  A3:  0
Sun May  9 10:12:15 2010  A4:  0
Sun May  9 10:12:15 2010  A5:  0
Sun May  9 10:12:15 2010  A6:  60
Sun May  9 10:12:15 2010  skew 0.51, size 3.645391e-12, alpha 0.782503, combined = 3.057796e-13
Sun May  9 10:12:15 2010  
Sun May  9 10:12:15 2010  commencing relation filtering
Sun May  9 10:12:15 2010  estimated available RAM is 32306.3 MB
Sun May  9 10:12:15 2010  commencing duplicate removal, pass 1
<snip errors reading relations>
Sun May  9 10:40:34 2010  skipped 287 relations with b > 2^32
Sun May  9 10:40:34 2010  found 46246463 hash collisions in 222816235 relations
Sun May  9 10:41:14 2010  added 1218454 free relations
Sun May  9 10:41:15 2010  commencing duplicate removal, pass 2
Sun May  9 10:50:09 2010  found 46911669 duplicates and 177123020 unique relations
Sun May  9 10:50:09 2010  memory use: 1321.5 MB
Sun May  9 10:50:13 2010  reading ideals above 173342720
Sun May  9 10:50:14 2010  commencing singleton removal, initial pass
Sun May  9 11:20:19 2010  memory use: 3012.0 MB
Sun May  9 11:20:21 2010  reading all ideals from disk
Sun May  9 11:21:14 2010  memory use: 3001.3 MB
Sun May  9 11:21:40 2010  commencing in-memory singleton removal
Sun May  9 11:22:05 2010  begin with 177123020 relations and 151038125 unique ideals
Sun May  9 11:26:31 2010  reduce to 103411891 relations and 68540877 ideals in 16 passes
Sun May  9 11:26:31 2010  max relations containing the same ideal: 34
Sun May  9 11:27:12 2010  reading ideals above 720000
Sun May  9 11:27:12 2010  commencing singleton removal, initial pass
Sun May  9 11:50:56 2010  memory use: 2756.0 MB
Sun May  9 11:51:00 2010  reading all ideals from disk
Sun May  9 11:52:21 2010  memory use: 4078.6 MB
Sun May  9 11:52:58 2010  keeping 87340073 ideals with weight <= 200, target excess is 546253
Sun May  9 11:53:39 2010  commencing in-memory singleton removal
Sun May  9 11:54:09 2010  begin with 103411892 relations and 87340073 unique ideals
Sun May  9 11:59:18 2010  reduce to 103330454 relations and 87258626 ideals in 10 passes
Sun May  9 11:59:19 2010  max relations containing the same ideal: 200
Sun May  9 12:01:43 2010  removing 3751337 relations and 3351337 ideals in 400000 cliques
Sun May  9 12:01:47 2010  commencing in-memory singleton removal
Sun May  9 12:02:18 2010  begin with 99579117 relations and 87258626 unique ideals
Sun May  9 12:05:55 2010  reduce to 99505902 relations and 83833719 ideals in 7 passes
Sun May  9 12:05:55 2010  max relations containing the same ideal: 200
Sun May  9 12:08:12 2010  removing 2778479 relations and 2378479 ideals in 400000 cliques
Sun May  9 12:08:16 2010  commencing in-memory singleton removal
Sun May  9 12:08:46 2010  begin with 96727423 relations and 83833719 unique ideals
Sun May  9 12:12:46 2010  reduce to 96684476 relations and 81412080 ideals in 8 passes
Sun May  9 12:12:46 2010  max relations containing the same ideal: 198
Sun May  9 12:14:58 2010  removing 2459543 relations and 2059543 ideals in 400000 cliques
Sun May  9 12:15:02 2010  commencing in-memory singleton removal
Sun May  9 12:15:31 2010  begin with 94224933 relations and 81412080 unique ideals
Sun May  9 12:18:55 2010  reduce to 94188509 relations and 79315955 ideals in 7 passes
Sun May  9 12:18:55 2010  max relations containing the same ideal: 195
Sun May  9 12:21:04 2010  removing 2273601 relations and 1873601 ideals in 400000 cliques
Sun May  9 12:21:07 2010  commencing in-memory singleton removal
Sun May  9 12:21:35 2010  begin with 91914908 relations and 79315955 unique ideals
Sun May  9 12:24:25 2010  reduce to 91883101 relations and 77410429 ideals in 6 passes
Sun May  9 12:24:25 2010  max relations containing the same ideal: 193
Sun May  9 12:26:30 2010  removing 2143019 relations and 1743019 ideals in 400000 cliques
Sun May  9 12:26:33 2010  commencing in-memory singleton removal
Sun May  9 12:27:00 2010  begin with 89740082 relations and 77410429 unique ideals
Sun May  9 12:29:46 2010  reduce to 89710585 relations and 75637789 ideals in 6 passes
Sun May  9 12:29:46 2010  max relations containing the same ideal: 191
Sun May  9 12:31:47 2010  removing 2046435 relations and 1646435 ideals in 400000 cliques
Sun May  9 12:31:51 2010  commencing in-memory singleton removal
Sun May  9 12:32:17 2010  begin with 87664150 relations and 75637789 unique ideals
Sun May  9 12:34:58 2010  reduce to 87636313 relations and 73963393 ideals in 6 passes
Sun May  9 12:34:58 2010  max relations containing the same ideal: 189
Sun May  9 12:36:57 2010  removing 1970687 relations and 1570687 ideals in 400000 cliques
Sun May  9 12:37:00 2010  commencing in-memory singleton removal
Sun May  9 12:37:26 2010  begin with 85665626 relations and 73963393 unique ideals
Sun May  9 12:40:29 2010  reduce to 85639396 relations and 72366387 ideals in 7 passes
Sun May  9 12:40:29 2010  max relations containing the same ideal: 184
Sun May  9 12:42:25 2010  removing 1902127 relations and 1502127 ideals in 400000 cliques
Sun May  9 12:42:28 2010  commencing in-memory singleton removal
Sun May  9 12:42:54 2010  begin with 83737269 relations and 72366387 unique ideals
Sun May  9 12:45:27 2010  reduce to 83711508 relations and 70838390 ideals in 6 passes
Sun May  9 12:45:27 2010  max relations containing the same ideal: 182
Sun May  9 12:47:20 2010  removing 1854712 relations and 1454712 ideals in 400000 cliques
Sun May  9 12:47:23 2010  commencing in-memory singleton removal
Sun May  9 12:47:48 2010  begin with 81856796 relations and 70838390 unique ideals
Sun May  9 12:50:17 2010  reduce to 81831367 relations and 69358150 ideals in 6 passes
Sun May  9 12:50:17 2010  max relations containing the same ideal: 179
Sun May  9 12:52:07 2010  removing 1799750 relations and 1399750 ideals in 400000 cliques
Sun May  9 12:52:10 2010  commencing in-memory singleton removal
Sun May  9 12:52:34 2010  begin with 80031617 relations and 69358150 unique ideals
Sun May  9 12:55:00 2010  reduce to 80007098 relations and 67933766 ideals in 6 passes
Sun May  9 12:55:00 2010  max relations containing the same ideal: 178
Sun May  9 12:56:47 2010  removing 1762235 relations and 1362235 ideals in 400000 cliques
Sun May  9 12:56:50 2010  commencing in-memory singleton removal
Sun May  9 12:57:14 2010  begin with 78244863 relations and 67933766 unique ideals
Sun May  9 12:59:13 2010  reduce to 78222026 relations and 66548578 ideals in 5 passes
Sun May  9 12:59:13 2010  max relations containing the same ideal: 176
Sun May  9 13:00:58 2010  removing 1727933 relations and 1327933 ideals in 400000 cliques
Sun May  9 13:01:01 2010  commencing in-memory singleton removal
Sun May  9 13:01:24 2010  begin with 76494093 relations and 66548578 unique ideals
Sun May  9 13:03:42 2010  reduce to 76470387 relations and 65196838 ideals in 6 passes
Sun May  9 13:03:42 2010  max relations containing the same ideal: 172
Sun May  9 13:05:25 2010  removing 1701562 relations and 1301562 ideals in 400000 cliques
Sun May  9 13:05:27 2010  commencing in-memory singleton removal
Sun May  9 13:05:50 2010  begin with 74768825 relations and 65196838 unique ideals
Sun May  9 13:08:05 2010  reduce to 74745593 relations and 63871930 ideals in 6 passes
Sun May  9 13:08:05 2010  max relations containing the same ideal: 171
Sun May  9 13:09:45 2010  removing 1666471 relations and 1266471 ideals in 400000 cliques
Sun May  9 13:09:48 2010  commencing in-memory singleton removal
Sun May  9 13:10:10 2010  begin with 73079122 relations and 63871930 unique ideals
Sun May  9 13:12:00 2010  reduce to 73054103 relations and 62580323 ideals in 5 passes
Sun May  9 13:12:00 2010  max relations containing the same ideal: 169
Sun May  9 13:13:38 2010  removing 1653239 relations and 1253239 ideals in 400000 cliques
Sun May  9 13:13:40 2010  commencing in-memory singleton removal
Sun May  9 13:14:02 2010  begin with 71400864 relations and 62580323 unique ideals
Sun May  9 13:15:49 2010  reduce to 71380103 relations and 61306221 ideals in 5 passes
Sun May  9 13:15:49 2010  max relations containing the same ideal: 166
Sun May  9 13:17:23 2010  removing 1616423 relations and 1216423 ideals in 400000 cliques
Sun May  9 13:17:25 2010  commencing in-memory singleton removal
Sun May  9 13:17:45 2010  begin with 69763680 relations and 61306221 unique ideals
Sun May  9 13:19:27 2010  reduce to 69742400 relations and 60068415 ideals in 5 passes
Sun May  9 13:19:27 2010  max relations containing the same ideal: 163
Sun May  9 13:20:56 2010  removing 1593133 relations and 1193133 ideals in 400000 cliques
Sun May  9 13:20:58 2010  commencing in-memory singleton removal
Sun May  9 13:21:18 2010  begin with 68149267 relations and 60068415 unique ideals
Sun May  9 13:22:56 2010  reduce to 68125982 relations and 58851878 ideals in 5 passes
Sun May  9 13:22:56 2010  max relations containing the same ideal: 160
Sun May  9 13:24:24 2010  removing 1581696 relations and 1181696 ideals in 400000 cliques
Sun May  9 13:24:26 2010  commencing in-memory singleton removal
Sun May  9 13:24:45 2010  begin with 66544286 relations and 58851878 unique ideals
Sun May  9 13:26:39 2010  reduce to 66521477 relations and 57647245 ideals in 6 passes
Sun May  9 13:26:39 2010  max relations containing the same ideal: 156
Sun May  9 13:28:03 2010  removing 1568131 relations and 1168131 ideals in 400000 cliques
Sun May  9 13:28:05 2010  commencing in-memory singleton removal
Sun May  9 13:28:23 2010  begin with 64953346 relations and 57647245 unique ideals
Sun May  9 13:29:56 2010  reduce to 64930715 relations and 56456349 ideals in 5 passes
Sun May  9 13:29:56 2010  max relations containing the same ideal: 154
Sun May  9 13:31:18 2010  removing 1547448 relations and 1147448 ideals in 400000 cliques
Sun May  9 13:31:20 2010  commencing in-memory singleton removal
Sun May  9 13:31:38 2010  begin with 63383267 relations and 56456349 unique ideals
Sun May  9 13:33:08 2010  reduce to 63360166 relations and 55285656 ideals in 5 passes
Sun May  9 13:33:08 2010  max relations containing the same ideal: 153
Sun May  9 13:34:28 2010  removing 1529100 relations and 1129100 ideals in 400000 cliques
Sun May  9 13:34:30 2010  commencing in-memory singleton removal
Sun May  9 13:34:47 2010  begin with 61831066 relations and 55285656 unique ideals
Sun May  9 13:36:32 2010  reduce to 61806796 relations and 54132129 ideals in 6 passes
Sun May  9 13:36:32 2010  max relations containing the same ideal: 151
Sun May  9 13:37:50 2010  removing 1510859 relations and 1110859 ideals in 400000 cliques
Sun May  9 13:37:52 2010  commencing in-memory singleton removal
Sun May  9 13:38:09 2010  begin with 60295937 relations and 54132129 unique ideals
Sun May  9 13:39:51 2010  reduce to 60270102 relations and 52995261 ideals in 6 passes
Sun May  9 13:39:51 2010  max relations containing the same ideal: 147
Sun May  9 13:41:07 2010  removing 1505752 relations and 1105752 ideals in 400000 cliques
Sun May  9 13:41:09 2010  commencing in-memory singleton removal
Sun May  9 13:41:25 2010  begin with 58764350 relations and 52995261 unique ideals
Sun May  9 13:42:49 2010  reduce to 58739839 relations and 51864836 ideals in 5 passes
Sun May  9 13:42:49 2010  max relations containing the same ideal: 145
Sun May  9 13:44:03 2010  removing 1486372 relations and 1086372 ideals in 400000 cliques
Sun May  9 13:44:05 2010  commencing in-memory singleton removal
Sun May  9 13:44:21 2010  begin with 57253467 relations and 51864836 unique ideals
Sun May  9 13:45:42 2010  reduce to 57229613 relations and 50754455 ideals in 5 passes
Sun May  9 13:45:42 2010  max relations containing the same ideal: 143
Sun May  9 13:46:54 2010  removing 1466301 relations and 1066301 ideals in 400000 cliques
Sun May  9 13:46:56 2010  commencing in-memory singleton removal
Sun May  9 13:47:11 2010  begin with 55763312 relations and 50754455 unique ideals
Sun May  9 13:48:30 2010  reduce to 55738430 relations and 49663108 ideals in 5 passes
Sun May  9 13:48:30 2010  max relations containing the same ideal: 139
Sun May  9 13:49:40 2010  removing 1464433 relations and 1064433 ideals in 400000 cliques
Sun May  9 13:49:42 2010  commencing in-memory singleton removal
Sun May  9 13:49:57 2010  begin with 54273997 relations and 49663108 unique ideals
Sun May  9 13:51:13 2010  reduce to 54248912 relations and 48573415 ideals in 5 passes
Sun May  9 13:51:13 2010  max relations containing the same ideal: 137
Sun May  9 13:52:22 2010  removing 1451481 relations and 1051481 ideals in 400000 cliques
Sun May  9 13:52:23 2010  commencing in-memory singleton removal
Sun May  9 13:52:38 2010  begin with 52797431 relations and 48573415 unique ideals
Sun May  9 13:53:53 2010  reduce to 52771391 relations and 47495669 ideals in 5 passes
Sun May  9 13:53:53 2010  max relations containing the same ideal: 135
Sun May  9 13:54:59 2010  removing 1444176 relations and 1044176 ideals in 400000 cliques
Sun May  9 13:55:01 2010  commencing in-memory singleton removal
Sun May  9 13:55:15 2010  begin with 51327215 relations and 47495669 unique ideals
Sun May  9 13:56:41 2010  reduce to 51300547 relations and 46424615 ideals in 6 passes
Sun May  9 13:56:41 2010  max relations containing the same ideal: 134
Sun May  9 13:57:45 2010  removing 1437837 relations and 1037837 ideals in 400000 cliques
Sun May  9 13:57:47 2010  commencing in-memory singleton removal
Sun May  9 13:58:01 2010  begin with 49862710 relations and 46424615 unique ideals
Sun May  9 13:59:11 2010  reduce to 49834909 relations and 45358762 ideals in 5 passes
Sun May  9 13:59:11 2010  max relations containing the same ideal: 132
Sun May  9 14:00:13 2010  removing 1427994 relations and 1027994 ideals in 400000 cliques
Sun May  9 14:00:15 2010  commencing in-memory singleton removal
Sun May  9 14:00:29 2010  begin with 48406915 relations and 45358762 unique ideals
Sun May  9 14:01:36 2010  reduce to 48378766 relations and 44302374 ideals in 5 passes
Sun May  9 14:01:36 2010  max relations containing the same ideal: 129
Sun May  9 14:02:37 2010  removing 1431414 relations and 1031414 ideals in 400000 cliques
Sun May  9 14:02:38 2010  commencing in-memory singleton removal
Sun May  9 14:02:51 2010  begin with 46947352 relations and 44302374 unique ideals
Sun May  9 14:03:57 2010  reduce to 46919431 relations and 43242793 ideals in 5 passes
Sun May  9 14:03:57 2010  max relations containing the same ideal: 124
Sun May  9 14:04:56 2010  removing 1419250 relations and 1019250 ideals in 400000 cliques
Sun May  9 14:04:57 2010  commencing in-memory singleton removal
Sun May  9 14:05:10 2010  begin with 45500181 relations and 43242793 unique ideals
Sun May  9 14:06:13 2010  reduce to 45471099 relations and 42194214 ideals in 5 passes
Sun May  9 14:06:13 2010  max relations containing the same ideal: 120
Sun May  9 14:07:10 2010  removing 1412874 relations and 1012874 ideals in 400000 cliques
Sun May  9 14:07:12 2010  commencing in-memory singleton removal
Sun May  9 14:07:24 2010  begin with 44058225 relations and 42194214 unique ideals
Sun May  9 14:08:37 2010  reduce to 44027599 relations and 41150408 ideals in 6 passes
Sun May  9 14:08:37 2010  max relations containing the same ideal: 118
Sun May  9 14:09:33 2010  removing 1408461 relations and 1008461 ideals in 400000 cliques
Sun May  9 14:09:34 2010  commencing in-memory singleton removal
Sun May  9 14:09:46 2010  begin with 42619138 relations and 41150408 unique ideals
Sun May  9 14:10:45 2010  reduce to 42586756 relations and 40109258 ideals in 5 passes
Sun May  9 14:10:45 2010  max relations containing the same ideal: 116
Sun May  9 14:11:38 2010  removing 1408134 relations and 1008134 ideals in 400000 cliques
Sun May  9 14:11:40 2010  commencing in-memory singleton removal
Sun May  9 14:11:51 2010  begin with 41178622 relations and 40109258 unique ideals
Sun May  9 14:13:01 2010  reduce to 41145020 relations and 39067161 ideals in 6 passes
Sun May  9 14:13:01 2010  max relations containing the same ideal: 114
Sun May  9 14:13:54 2010  removing 1404958 relations and 1004958 ideals in 400000 cliques
Sun May  9 14:13:55 2010  commencing in-memory singleton removal
Sun May  9 14:14:06 2010  begin with 39740062 relations and 39067161 unique ideals
Sun May  9 14:15:02 2010  reduce to 39704628 relations and 38026395 ideals in 5 passes
Sun May  9 14:15:02 2010  max relations containing the same ideal: 109
Sun May  9 14:15:52 2010  removing 1405691 relations and 1005691 ideals in 400000 cliques
Sun May  9 14:15:54 2010  commencing in-memory singleton removal
Sun May  9 14:16:04 2010  begin with 38298937 relations and 38026395 unique ideals
Sun May  9 14:16:57 2010  reduce to 38261332 relations and 36982688 ideals in 5 passes
Sun May  9 14:16:57 2010  max relations containing the same ideal: 106
Sun May  9 14:17:45 2010  removing 1407188 relations and 1007188 ideals in 400000 cliques
Sun May  9 14:17:46 2010  commencing in-memory singleton removal
Sun May  9 14:17:56 2010  begin with 36854144 relations and 36982688 unique ideals
Sun May  9 14:18:46 2010  reduce to 36814465 relations and 35935349 ideals in 5 passes
Sun May  9 14:18:46 2010  max relations containing the same ideal: 104
Sun May  9 14:19:33 2010  removing 950095 relations and 704633 ideals in 245462 cliques
Sun May  9 14:19:34 2010  commencing in-memory singleton removal
Sun May  9 14:19:44 2010  begin with 35864370 relations and 35935349 unique ideals
Sun May  9 14:20:43 2010  reduce to 35848849 relations and 35215108 ideals in 6 passes
Sun May  9 14:20:43 2010  max relations containing the same ideal: 102
Sun May  9 14:21:00 2010  relations with 0 large ideals: 18303
Sun May  9 14:21:00 2010  relations with 1 large ideals: 4809
Sun May  9 14:21:00 2010  relations with 2 large ideals: 71907
Sun May  9 14:21:00 2010  relations with 3 large ideals: 541869
Sun May  9 14:21:00 2010  relations with 4 large ideals: 2232272
Sun May  9 14:21:00 2010  relations with 5 large ideals: 5583464
Sun May  9 14:21:00 2010  relations with 6 large ideals: 8848257
Sun May  9 14:21:00 2010  relations with 7+ large ideals: 18547968
Sun May  9 14:21:01 2010  commencing 2-way merge
Sun May  9 14:21:56 2010  reduce to 25192681 relation sets and 24558940 unique ideals
Sun May  9 14:21:56 2010  commencing full merge
Sun May  9 14:33:42 2010  memory use: 2948.2 MB
Sun May  9 14:33:50 2010  found 13472322 cycles, need 13385140
Sun May  9 14:33:56 2010  weight of 13385140 cycles is about 937005816 (70.00/cycle)
Sun May  9 14:33:56 2010  distribution of cycle lengths:
Sun May  9 14:33:56 2010  1 relations: 1273588
Sun May  9 14:33:56 2010  2 relations: 1614816
Sun May  9 14:33:56 2010  3 relations: 1765399
Sun May  9 14:33:56 2010  4 relations: 1692734
Sun May  9 14:33:56 2010  5 relations: 1571436
Sun May  9 14:33:56 2010  6 relations: 1363591
Sun May  9 14:33:56 2010  7 relations: 1138377
Sun May  9 14:33:56 2010  8 relations: 901961
Sun May  9 14:33:56 2010  9 relations: 682543
Sun May  9 14:33:56 2010  10+ relations: 1380695
Sun May  9 14:33:56 2010  heaviest cycle: 19 relations
Sun May  9 14:34:08 2010  commencing cycle optimization
Sun May  9 14:34:46 2010  start with 69730943 relations
Sun May  9 14:37:35 2010  pruned 1931649 relations
Sun May  9 14:37:36 2010  memory use: 2226.0 MB
Sun May  9 14:37:36 2010  distribution of cycle lengths:
Sun May  9 14:37:36 2010  1 relations: 1273588
Sun May  9 14:37:36 2010  2 relations: 1648589
Sun May  9 14:37:36 2010  3 relations: 1831301
Sun May  9 14:37:36 2010  4 relations: 1743067
Sun May  9 14:37:36 2010  5 relations: 1623094
Sun May  9 14:37:36 2010  6 relations: 1392298
Sun May  9 14:37:36 2010  7 relations: 1152778
Sun May  9 14:37:36 2010  8 relations: 892782
Sun May  9 14:37:36 2010  9 relations: 659037
Sun May  9 14:37:36 2010  10+ relations: 1168606
Sun May  9 14:37:36 2010  heaviest cycle: 19 relations
Sun May  9 14:38:27 2010  RelProcTime: 15972
Sun May  9 14:38:27 2010  
Sun May  9 14:38:27 2010  commencing linear algebra
Sun May  9 14:38:38 2010  read 13385140 cycles
Sun May  9 14:39:11 2010  cycles contain 35604026 unique relations
Sun May  9 14:45:46 2010  read 35604026 relations
Sun May  9 14:47:16 2010  using 20 quadratic characters above 2147481140
Sun May  9 14:51:40 2010  building initial matrix
Sun May  9 15:04:25 2010  memory use: 4714.4 MB
Sun May  9 15:04:35 2010  read 13385140 cycles
Sun May  9 15:05:19 2010  matrix is 13384962 x 13385140 (4013.1 MB) with weight 1177697478 (87.99/col)
Sun May  9 15:05:22 2010  sparse part has weight 904767639 (67.59/col)
Sun May  9 15:10:10 2010  filtering completed in 2 passes
Sun May  9 15:10:14 2010  matrix is 13383946 x 13384124 (4013.0 MB) with weight 1177673231 (87.99/col)
Sun May  9 15:10:14 2010  sparse part has weight 904761978 (67.60/col)
Sun May  9 15:12:32 2010  read 13384124 cycles
Sun May  9 15:13:11 2010  matrix is 13383946 x 13384124 (4013.0 MB) with weight 1177673231 (87.99/col)
Sun May  9 15:13:11 2010  sparse part has weight 904761978 (67.60/col)
Sun May  9 15:13:11 2010  saving the first 48 matrix rows for later
Sun May  9 15:13:18 2010  matrix is 13383898 x 13384124 (3837.9 MB) with weight 943193442 (70.47/col)
Sun May  9 15:13:18 2010  sparse part has weight 872232659 (65.17/col)
Sun May  9 15:13:18 2010  matrix includes 64 packed rows
Sun May  9 15:13:18 2010  using block size 65536 for processor cache size 6144 kB
Sun May  9 15:14:19 2010  commencing Lanczos iteration (4 threads)
Sun May  9 15:14:21 2010  memory use: 4178.0 MB
Sun May  9 15:17:05 2010  linear algebra at 0.0%, ETA 737h39m
Sun May  9 22:20:07 2010  lanczos halted after 1288 iterations (dim = 81462)
Sun May  9 22:20:07 2010  BLanczosTime: 27700
Sun May  9 22:20:07 2010  
Sun May  9 22:20:07 2010  commencing square root phase
Sun May  9 22:20:07 2010  reading relations for dependency 1
Mon May 10 09:01:31 2010  
Mon May 10 09:01:31 2010  
Mon May 10 09:01:31 2010  Msieve v. 1.46
Mon May 10 09:01:31 2010  random seeds: 2b657e52 c8ef5c21
Mon May 10 09:01:31 2010  factoring 2608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826087 (247 digits)
Mon May 10 09:01:34 2010  no P-1/P+1/ECM available, skipping
Mon May 10 09:01:34 2010  commencing number field sieve (247-digit input)
Mon May 10 09:01:34 2010  R0: -100000000000000000000000000000000000000000
Mon May 10 09:01:34 2010  R1:  1
Mon May 10 09:01:34 2010  A0:  1
Mon May 10 09:01:34 2010  A1:  0
Mon May 10 09:01:34 2010  A2:  0
Mon May 10 09:01:34 2010  A3:  0
Mon May 10 09:01:34 2010  A4:  0
Mon May 10 09:01:34 2010  A5:  0
Mon May 10 09:01:34 2010  A6:  60
Mon May 10 09:01:34 2010  skew 0.51, size 3.645391e-12, alpha 0.782503, combined = 3.057796e-13
Mon May 10 09:01:34 2010  
Mon May 10 09:01:34 2010  commencing linear algebra
Mon May 10 09:01:39 2010  read 13384124 cycles
Mon May 10 09:02:29 2010  matrix is 13383946 x 13384124 (4013.0 MB) with weight 1177673231 (87.99/col)
Mon May 10 09:02:29 2010  sparse part has weight 904761978 (67.60/col)
Mon May 10 09:02:30 2010  saving the first 48 matrix rows for later
Mon May 10 09:02:36 2010  matrix is 13383898 x 13384124 (3837.9 MB) with weight 943193442 (70.47/col)
Mon May 10 09:02:36 2010  sparse part has weight 872232659 (65.17/col)
Mon May 10 09:02:36 2010  matrix includes 64 packed rows
Mon May 10 09:02:36 2010  using block size 65536 for processor cache size 4096 kB
Mon May 10 09:03:42 2010  commencing Lanczos iteration (4 threads)
Mon May 10 09:03:42 2010  memory use: 4178.0 MB
Mon May 10 09:03:48 2010  restarting at iteration 1288 (dim = 81462)
Mon May 10 09:06:19 2010  linear algebra at 0.6%, ETA 729h20m
Mon May 10 21:32:23 2010  
Mon May 10 21:32:23 2010  
Mon May 10 21:32:23 2010  Msieve v. 1.46
Mon May 10 21:32:23 2010  random seeds: 70a25bf5 a6d45f2e
Mon May 10 21:32:23 2010  factoring 2608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826087 (247 digits)
Mon May 10 21:32:26 2010  no P-1/P+1/ECM available, skipping
Mon May 10 21:32:26 2010  commencing number field sieve (247-digit input)
Mon May 10 21:32:26 2010  R0: -100000000000000000000000000000000000000000
Mon May 10 21:32:26 2010  R1:  1
Mon May 10 21:32:26 2010  A0:  1
Mon May 10 21:32:26 2010  A1:  0
Mon May 10 21:32:26 2010  A2:  0
Mon May 10 21:32:26 2010  A3:  0
Mon May 10 21:32:26 2010  A4:  0
Mon May 10 21:32:26 2010  A5:  0
Mon May 10 21:32:26 2010  A6:  60
Mon May 10 21:32:26 2010  skew 0.51, size 3.645391e-12, alpha 0.782503, combined = 3.057796e-13
Mon May 10 21:32:26 2010  
Mon May 10 21:32:26 2010  commencing linear algebra
Mon May 10 21:32:31 2010  read 13384124 cycles
Mon May 10 21:33:20 2010  matrix is 13383946 x 13384124 (4013.0 MB) with weight 1177673231 (87.99/col)
Mon May 10 21:33:20 2010  sparse part has weight 904761978 (67.60/col)
Mon May 10 21:33:20 2010  saving the first 48 matrix rows for later
Mon May 10 21:33:27 2010  matrix is 13383898 x 13384124 (3837.9 MB) with weight 943193442 (70.47/col)
Mon May 10 21:33:27 2010  sparse part has weight 872232659 (65.17/col)
Mon May 10 21:33:27 2010  matrix includes 64 packed rows
Mon May 10 21:33:27 2010  using block size 65536 for processor cache size 4096 kB
Mon May 10 21:34:39 2010  commencing Lanczos iteration (4 threads)
Mon May 10 21:34:39 2010  memory use: 4178.0 MB
Mon May 10 21:34:46 2010  restarting at iteration 1898 (dim = 120048)
Mon May 10 21:37:09 2010  linear algebra at 0.9%, ETA 696h53m
Sat Jun  5 12:22:44 2010  
Sat Jun  5 12:22:44 2010  
Sat Jun  5 12:22:44 2010  Msieve v. 1.46
Sat Jun  5 12:22:44 2010  random seeds: 39ce02d2 f0943879
Sat Jun  5 12:22:44 2010  factoring 2608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826087 (247 digits)
Sat Jun  5 12:22:46 2010  no P-1/P+1/ECM available, skipping
Sat Jun  5 12:22:46 2010  commencing number field sieve (247-digit input)
Sat Jun  5 12:22:46 2010  R0: -100000000000000000000000000000000000000000
Sat Jun  5 12:22:46 2010  R1:  1
Sat Jun  5 12:22:46 2010  A0:  1
Sat Jun  5 12:22:46 2010  A1:  0
Sat Jun  5 12:22:46 2010  A2:  0
Sat Jun  5 12:22:46 2010  A3:  0
Sat Jun  5 12:22:46 2010  A4:  0
Sat Jun  5 12:22:46 2010  A5:  0
Sat Jun  5 12:22:46 2010  A6:  60
Sat Jun  5 12:22:46 2010  skew 0.51, size 3.645391e-12, alpha 0.782503, combined = 3.057796e-13
Sat Jun  5 12:22:46 2010  
Sat Jun  5 12:22:46 2010  commencing linear algebra
Sat Jun  5 12:22:51 2010  read 13384124 cycles
Sat Jun  5 12:23:42 2010  matrix is 13383946 x 13384124 (4013.0 MB) with weight 1177673231 (87.99/col)
Sat Jun  5 12:23:42 2010  sparse part has weight 904761978 (67.60/col)
Sat Jun  5 12:23:42 2010  saving the first 48 matrix rows for later
Sat Jun  5 12:23:47 2010  matrix is 13383898 x 13384124 (3837.9 MB) with weight 943193442 (70.47/col)
Sat Jun  5 12:23:47 2010  sparse part has weight 872232659 (65.17/col)
Sat Jun  5 12:23:47 2010  matrix includes 64 packed rows
Sat Jun  5 12:23:47 2010  using block size 65536 for processor cache size 8192 kB
Sat Jun  5 12:24:45 2010  commencing Lanczos iteration
Sat Jun  5 12:24:46 2010  memory use: 3871.6 MB
Sat Jun  5 12:24:52 2010  restarting at iteration 184705 (dim = 11680024)
Sat Jun  5 12:26:38 2010  linear algebra at 87.3%, ETA 66h25m
Sat Jun  5 12:46:32 2010  lanczos halted after 184850 iterations (dim = 11689198)
Sat Jun  5 12:46:32 2010  BLanczosTime: 1426
Sat Jun  5 12:46:32 2010  elapsed time 00:23:48
Sat Jun  5 12:46:33 2010  
Sat Jun  5 12:46:33 2010  
Sat Jun  5 12:46:33 2010  Msieve v. 1.46
Sat Jun  5 12:46:33 2010  random seeds: 10deb9be 0b43a8f6
Sat Jun  5 12:46:33 2010  factoring 2608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826087 (247 digits)
Sat Jun  5 12:46:35 2010  no P-1/P+1/ECM available, skipping
Sat Jun  5 12:46:35 2010  commencing number field sieve (247-digit input)
Sat Jun  5 12:46:35 2010  R0: -100000000000000000000000000000000000000000
Sat Jun  5 12:46:35 2010  R1:  1
Sat Jun  5 12:46:35 2010  A0:  1
Sat Jun  5 12:46:35 2010  A1:  0
Sat Jun  5 12:46:35 2010  A2:  0
Sat Jun  5 12:46:35 2010  A3:  0
Sat Jun  5 12:46:35 2010  A4:  0
Sat Jun  5 12:46:35 2010  A5:  0
Sat Jun  5 12:46:35 2010  A6:  60
Sat Jun  5 12:46:35 2010  skew 0.51, size 3.645391e-12, alpha 0.782503, combined = 3.057796e-13
Sat Jun  5 12:46:35 2010  
Sat Jun  5 12:46:35 2010  commencing linear algebra
Sat Jun  5 12:46:38 2010  read 13384124 cycles
Sat Jun  5 12:46:44 2010  matrix is 13383946 x 13384124 (4013.0 MB) with weight 1177673231 (87.99/col)
Sat Jun  5 12:46:44 2010  sparse part has weight 904761978 (67.60/col)
Sat Jun  5 12:46:44 2010  saving the first 48 matrix rows for later
Sat Jun  5 12:46:49 2010  matrix is 13383898 x 13384124 (3837.9 MB) with weight 943193442 (70.47/col)
Sat Jun  5 12:46:49 2010  sparse part has weight 872232659 (65.17/col)
Sat Jun  5 12:46:49 2010  matrix includes 64 packed rows
Sat Jun  5 12:46:49 2010  using block size 65536 for processor cache size 8192 kB
Sat Jun  5 12:47:43 2010  commencing Lanczos iteration (4 threads)
Sat Jun  5 12:47:43 2010  memory use: 4178.0 MB
Sat Jun  5 12:47:43 2010  restarting at iteration 184850 (dim = 11689198)
Sat Jun  5 12:48:54 2010  linear algebra at 87.3%, ETA 44h 4m
Mon Jun  7 04:54:28 2010  lanczos halted after 211654 iterations (dim = 13383896)
Mon Jun  7 04:54:53 2010  recovered 37 nontrivial dependencies
Mon Jun  7 04:55:02 2010  BLanczosTime: 144507
Mon Jun  7 04:55:03 2010  elapsed time 40:08:30
Mon Jun  7 09:36:00 2010  
Mon Jun  7 09:36:00 2010  
Mon Jun  7 09:36:00 2010  Msieve v. 1.46
Mon Jun  7 09:36:00 2010  random seeds: 166992a0 00cbc03a
Mon Jun  7 09:36:00 2010  factoring 2608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826087 (247 digits)
Mon Jun  7 09:36:03 2010  no P-1/P+1/ECM available, skipping
Mon Jun  7 09:36:03 2010  commencing number field sieve (247-digit input)
Mon Jun  7 09:36:03 2010  R0: -100000000000000000000000000000000000000000
Mon Jun  7 09:36:03 2010  R1:  1
Mon Jun  7 09:36:03 2010  A0:  1
Mon Jun  7 09:36:03 2010  A1:  0
Mon Jun  7 09:36:03 2010  A2:  0
Mon Jun  7 09:36:03 2010  A3:  0
Mon Jun  7 09:36:03 2010  A4:  0
Mon Jun  7 09:36:03 2010  A5:  0
Mon Jun  7 09:36:03 2010  A6:  60
Mon Jun  7 09:36:03 2010  skew 0.51, size 3.645391e-12, alpha 0.782503, combined = 3.057796e-13
Mon Jun  7 09:36:03 2010  
Mon Jun  7 09:36:03 2010  commencing square root phase
Mon Jun  7 09:36:03 2010  reading relations for dependency 1
Mon Jun  7 09:36:03 2010  error: read_cycles can't open cycle file
Mon Jun  7 09:36:39 2010  
Mon Jun  7 09:36:39 2010  
Mon Jun  7 09:36:39 2010  Msieve v. 1.46
Mon Jun  7 09:36:39 2010  random seeds: b2be0183 9427bc72
Mon Jun  7 09:36:39 2010  factoring 2608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826087 (247 digits)
Mon Jun  7 09:36:42 2010  no P-1/P+1/ECM available, skipping
Mon Jun  7 09:36:42 2010  commencing number field sieve (247-digit input)
Mon Jun  7 09:36:42 2010  R0: -100000000000000000000000000000000000000000
Mon Jun  7 09:36:42 2010  R1:  1
Mon Jun  7 09:36:42 2010  A0:  1
Mon Jun  7 09:36:42 2010  A1:  0
Mon Jun  7 09:36:42 2010  A2:  0
Mon Jun  7 09:36:42 2010  A3:  0
Mon Jun  7 09:36:42 2010  A4:  0
Mon Jun  7 09:36:42 2010  A5:  0
Mon Jun  7 09:36:42 2010  A6:  60
Mon Jun  7 09:36:42 2010  skew 0.51, size 3.645391e-12, alpha 0.782503, combined = 3.057796e-13
Mon Jun  7 09:36:42 2010  
Mon Jun  7 09:36:42 2010  commencing square root phase
Mon Jun  7 09:36:42 2010  reading relations for dependency 1
Mon Jun  7 09:36:46 2010  read 6691030 cycles
Mon Jun  7 09:36:57 2010  cycles contain 17798012 unique relations
Mon Jun  7 09:42:47 2010  read 17798012 relations
Mon Jun  7 09:44:34 2010  multiplying 17798012 relations
Mon Jun  7 11:10:21 2010  multiply complete, coefficients have about 546.32 million bits
Mon Jun  7 11:10:25 2010  initial square root is modulo 79687
Mon Jun  7 13:45:17 2010  reading relations for dependency 2
Mon Jun  7 13:45:23 2010  read 6688729 cycles
Mon Jun  7 13:45:35 2010  cycles contain 17801432 unique relations
Mon Jun  7 13:51:23 2010  read 17801432 relations
Mon Jun  7 13:53:11 2010  multiplying 17801432 relations
Mon Jun  7 15:23:53 2010  multiply complete, coefficients have about 546.43 million bits
Mon Jun  7 15:23:57 2010  initial square root is modulo 80077
Mon Jun  7 18:30:50 2010  reading relations for dependency 3
Mon Jun  7 18:30:56 2010  read 6692434 cycles
Mon Jun  7 18:31:10 2010  cycles contain 17805854 unique relations
Mon Jun  7 18:37:14 2010  read 17805854 relations
Mon Jun  7 18:39:24 2010  multiplying 17805854 relations
Mon Jun  7 20:15:43 2010  multiply complete, coefficients have about 546.56 million bits
Mon Jun  7 20:15:47 2010  initial square root is modulo 80077
Mon Jun  7 22:49:11 2010  reading relations for dependency 4
Mon Jun  7 22:49:17 2010  read 6693790 cycles
Mon Jun  7 22:49:28 2010  cycles contain 17808412 unique relations
Mon Jun  7 22:55:16 2010  read 17808412 relations
Mon Jun  7 22:56:57 2010  multiplying 17808412 relations
Tue Jun  8 00:26:24 2010  multiply complete, coefficients have about 546.64 million bits
Tue Jun  8 00:26:28 2010  initial square root is modulo 80233
Tue Jun  8 04:08:02 2010  reading relations for dependency 5
Tue Jun  8 04:08:09 2010  read 6691235 cycles
Tue Jun  8 04:08:25 2010  cycles contain 17803752 unique relations
Tue Jun  8 04:14:14 2010  read 17803752 relations
Tue Jun  8 04:16:47 2010  multiplying 17803752 relations
Tue Jun  8 06:14:32 2010  multiply complete, coefficients have about 546.51 million bits
Tue Jun  8 06:14:36 2010  initial square root is modulo 80077
Tue Jun  8 09:55:26 2010  sqrtTime: 87524
Tue Jun  8 09:55:26 2010  prp47 factor: 64502343527451756321326593416153156822188510993
Tue Jun  8 09:55:26 2010  prp200 factor: 40443424370521824728099907957468957355291552367752848725941579690299109731436832691693984983805350191875476171634638662389386605140231027674803952914383462009298719698559670626457608130168274688117559
Tue Jun  8 09:55:26 2010  elapsed time 24:18:47
software ソフトウェア
ggnfs-lasieve4I14e on the RSALS grid + msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 27, 2009 02:00:00 UTC 2009 年 4 月 27 日 (月) 11 時 0 分 0 秒 (日本時間)
351e60--
403e63261300Serge BatalovMay 3, 2009 04:36:26 UTC 2009 年 5 月 3 日 (日) 13 時 36 分 26 秒 (日本時間)
2961Dmitry DomanovJuly 14, 2009 13:58:03 UTC 2009 年 7 月 14 日 (火) 22 時 58 分 3 秒 (日本時間)
4511e63758Wataru SakaiOctober 14, 2009 04:22:24 UTC 2009 年 10 月 14 日 (水) 13 時 22 分 24 秒 (日本時間)

6×10249+1

c242

composite cofactor 合成数の残り
13631609705421664004371639057049120417316645483410243519006225117669020549553937720269631331547881754973510408518963614977664823331486939371850471955976752807299950555652469989630684409930339589047907649352113332421545252603690276223146333783<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaApril 27, 2009 02:00:00 UTC 2009 年 4 月 27 日 (月) 11 時 0 分 0 秒 (日本時間)
351e60--
403e6300Serge BatalovDecember 16, 2009 02:42:10 UTC 2009 年 12 月 16 日 (水) 11 時 42 分 10 秒 (日本時間)
4511e61700900Dmitry DomanovDecember 23, 2009 10:50:11 UTC 2009 年 12 月 23 日 (水) 19 時 50 分 11 秒 (日本時間)
500Markus TervoorenMay 25, 2010 14:47:52 UTC 2010 年 5 月 25 日 (火) 23 時 47 分 52 秒 (日本時間)
300Markus TervoorenMay 25, 2010 18:40:49 UTC 2010 年 5 月 26 日 (水) 3 時 40 分 49 秒 (日本時間)
5043e6740100Lionel DebrouxDecember 20, 2009 07:07:41 UTC 2009 年 12 月 20 日 (日) 16 時 7 分 41 秒 (日本時間)
640Dmitry DomanovMarch 4, 2011 23:54:27 UTC 2011 年 3 月 5 日 (土) 8 時 54 分 27 秒 (日本時間)
5511e73575 / 1315020Lionel DebrouxDecember 21, 2009 06:38:37 UTC 2009 年 12 月 21 日 (月) 15 時 38 分 37 秒 (日本時間)
2675yoyo@homeMay 1, 2011 08:15:50 UTC 2011 年 5 月 1 日 (日) 17 時 15 分 50 秒 (日本時間)
88099999999999November 2, 2011 16:06:05 UTC 2011 年 11 月 3 日 (木) 1 時 6 分 5 秒 (日本時間)
6026e750 / 3849799999999999November 2, 2011 16:06:05 UTC 2011 年 11 月 3 日 (木) 1 時 6 分 5 秒 (日本時間)
6585e7666 / 6904299999999999November 2, 2011 16:06:05 UTC 2011 年 11 月 3 日 (木) 1 時 6 分 5 秒 (日本時間)