14485139927745018081851904446705160926024649052219188102733785631827577171522939159049681701983248453<101>

232285334117970032187985184744148944279078916011<48>
62359253040006800401370106387797632463343215746998223<53>

SNFS difficulty: 106 digits.
Divisors found:
 r1=232285334117970032187985184744148944279078916011 (pp48)
 r2=62359253040006800401370106387797632463343215746998223 (pp53)
Version: Msieve v. 1.41
Total time: 0.30 hours.
Scaled time: 0.90 units (timescale=2.943).
Factorization parameters were as follows:
n: 14485139927745018081851904446705160926024649052219188102733785631827577171522939159049681701983248453
m: 200000000000000000000000000
deg: 4
c4: 35
c0: 43
skew: 1.05
type: snfs
lss: 1
rlim: 420000
alim: 420000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 420000/420000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [210000, 310001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 33412 x 33639
Total sieving time: 0.28 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,106.000,4,0,0,0,0,0,0,0,0,420000,420000,25,25,44,44,2.2,2.2,20000
total time: 0.30 hours.

41007235806575725696026815732831110100780693485242177944644714630722910606662210835069365507803866998593<104>

13897540214212527692645902486242042976664910799<47>
2950683011130204299615480832638819572472845820061038977007<58>

SNFS difficulty: 113 digits.
Divisors found:
 r1=13897540214212527692645902486242042976664910799 (pp47)
 r2=2950683011130204299615480832638819572472845820061038977007 (pp58)
Version: Msieve v. 1.41
Total time: 0.48 hours.
Scaled time: 1.42 units (timescale=2.951).
Factorization parameters were as follows:
n: 41007235806575725696026815732831110100780693485242177944644714630722910606662210835069365507803866998593
m: 20000000000000000000000
deg: 5
c5: 35
c0: 86
skew: 1.20
type: snfs
lss: 1
rlim: 540000
alim: 540000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 540000/540000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [270000, 420001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 43248 x 43476
Total sieving time: 0.45 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,113.000,5,0,0,0,0,0,0,0,0,540000,540000,25,25,45,45,2.2,2.2,50000
total time: 0.48 hours.

41283898912817818217708765580892400009973986506692143136437221913998955158438237411083324513343488945257<104>

408348128880194658464406352398206191<36>
101099762660918448367538763269301577394107046179160743691761007449127<69>

Msieve v. 1.39
Sun May 24 00:22:17 2009
random seeds: 7fbe7db1 de138fc7
factoring 41283898912817818217708765580892400009973986506692143136437221913998955158438237411083324513343488945257 (104 digits)
searching for 15-digit factors
commencing number field sieve (104-digit input)
R0: -100000000000000000000000
R1:  1
A0:  1075
A1:  0
A2:  0
A3:  0
A4:  0
A5:  14
skew 2.38, size 2.597755e-08, alpha -0.612885, combined = 3.186562e-08

commencing square root phase
reading relations for dependency 1
read 28696 cycles
cycles contain 110948 unique relations
read 110948 relations
multiplying 85764 relations
multiply complete, coefficients have about 1.99 million bits
initial square root is modulo 1536515521
Newton iteration failed to converge
algebraic square root failed
reading relations for dependency 2
read 28880 cycles
cycles contain 111389 unique relations
read 111389 relations
multiplying 86004 relations
multiply complete, coefficients have about 2.00 million bits
initial square root is modulo 1639707491
reading relations for dependency 3
read 28924 cycles
cycles contain 111395 unique relations
read 111395 relations
multiplying 86186 relations
multiply complete, coefficients have about 2.00 million bits
initial square root is modulo 1708967971
prp36 factor: 408348128880194658464406352398206191
prp69 factor: 101099762660918448367538763269301577394107046179160743691761007449127
elapsed time 00:30:37

281840559775614651481499935327657265774138008262961268564359550041546318231208909785353249395175191588669808182334737<117>

9837523052183919446566376509856910961364164092149<49>
28649545041019888937504172137615515915556659334640337227186636743213<68>

Number: 62227_121
N=281840559775614651481499935327657265774138008262961268564359550041546318231208909785353249395175191588669808182334737
  ( 117 digits)
SNFS difficulty: 123 digits.
Divisors found:
 r1=9837523052183919446566376509856910961364164092149 (pp49)
 r2=28649545041019888937504172137615515915556659334640337227186636743213 (pp68)
Version: Msieve-1.40
Total time: 1.43 hours.
Scaled time: 2.99 units (timescale=2.092).
Factorization parameters were as follows:
name:  62227_121
n: 281840559775614651481499935327657265774138008262961268564359550041546318231208909785353249395175191588669808182334737
m: 2000000000000000000000000
deg: 5
c5: 35
c0: 86
skew: 1.20
type: snfs
lss: 1
rlim: 790000
alim: 790000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 790000/790000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [395000, 595001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 77044 x 77272
Total sieving time: 1.38 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,123.000,5,0,0,0,0,0,0,0,0,790000,790000,25,25,46,46,2.2,2.2,50000
total time: 1.43 hours.
 --------- CPU info (if available) ----------

514233241505968778696051423324150596877869605142332415059687786960514233241505968778696051423324150596877869605142332415059687787<129>

72233322432718414569232836843550578144966505331853321253<56>
7119058409433545234707650257417296676583573298236685291355068311287769679<73>

Number: 62227_130
N=514233241505968778696051423324150596877869605142332415059687786960514233241505968778696051423324150596877869605142332415059687787
  ( 129 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=72233322432718414569232836843550578144966505331853321253
 r2=7119058409433545234707650257417296676583573298236685291355068311287769679
Version: 
Total time: 1.19 hours.
Scaled time: 2.84 units (timescale=2.389).
Factorization parameters were as follows:
n: 514233241505968778696051423324150596877869605142332415059687786960514233241505968778696051423324150596877869605142332415059687787
m: 200000000000000000000000000
deg: 5
c5: 7
c0: 172
skew: 1.90
type: snfs
lss: 1
rlim: 1100000
alim: 1100000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1100000/1100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [550000, 850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 2835911
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 148128 x 148376
Total sieving time: 1.03 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,132,5,0,0,0,0,0,0,0,0,1100000,1100000,26,26,47,47,2.3,2.3,50000
total time: 1.19 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673793)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672305)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

13740331349023691081262371544782048819022677210235262837555319619113317592126935803456752792873718014905997<107>

446751495478926418011405201098840477<36>
30756094804548521464938261943862495082201487416789170131157756023139761<71>

Number: 62227_131
N=13740331349023691081262371544782048819022677210235262837555319619113317592126935803456752792873718014905997
  ( 107 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=446751495478926418011405201098840477 (pp36)
 r2=30756094804548521464938261943862495082201487416789170131157756023139761 (pp71)
Version: Msieve-1.40
Total time: 2.54 hours.
Scaled time: 5.13 units (timescale=2.019).
Factorization parameters were as follows:
name: 62227_131
n: 13740331349023691081262371544782048819022677210235262837555319619113317592126935803456752792873718014905997
m: 200000000000000000000000000
deg: 5
c5: 35
c0: 86
skew: 1.20
type: snfs
lss: 1
rlim: 1160000
alim: 1160000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1160000/1160000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [580000, 880001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 159075 x 159311
Total sieving time: 2.39 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,133.000,5,0,0,0,0,0,0,0,0,1160000,1160000,26,26,47,47,2.3,2.3,50000
total time: 2.54 hours.
 --------- CPU info (if available) ----------

698341439082179822920563661304402045142785883526624267365008105748846489587230327971068711809452550193290934031674772415513156253897<132>

192604255731103436303710965316098343362792567691761203<54>
3625784053583637817608793557180079376482560388589629390866850398023592021991699<79>

Number: 62227_134
N=698341439082179822920563661304402045142785883526624267365008105748846489587230327971068711809452550193290934031674772415513156253897
  ( 132 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=192604255731103436303710965316098343362792567691761203
 r2=3625784053583637817608793557180079376482560388589629390866850398023592021991699
Version: 
Total time: 1.86 hours.
Scaled time: 4.44 units (timescale=2.390).
Factorization parameters were as follows:
n: 698341439082179822920563661304402045142785883526624267365008105748846489587230327971068711809452550193290934031674772415513156253897
m: 1000000000000000000000000000
deg: 5
c5: 28
c0: 215
skew: 1.50
type: snfs
lss: 1
rlim: 1400000
alim: 1400000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1400000/1400000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [700000, 1150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 3274434
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 203984 x 204232
Total sieving time: 1.59 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1400000,1400000,26,26,48,48,2.3,2.3,50000
total time: 1.86 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673793)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672305)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

20636116816045076827182019814547604895449093412286731348595867767639030081888155139050751735319042609263491<107>

18820540090523760177462888274940089121<38>
1096467833377187138957925392191314902327577642797243965784912605287971<70>

Number: 62227_137
N=20636116816045076827182019814547604895449093412286731348595867767639030081888155139050751735319042609263491
  ( 107 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=18820540090523760177462888274940089121 (pp38)
 r2=1096467833377187138957925392191314902327577642797243965784912605287971 (pp70)
Version: Msieve-1.40
Total time: 4.85 hours.
Scaled time: 9.91 units (timescale=2.045).
Factorization parameters were as follows:
name: 62227_137
n: 20636116816045076827182019814547604895449093412286731348595867767639030081888155139050751735319042609263491
m: 2000000000000000000000000000
deg: 5
c5: 175
c0: 43
skew: 0.76
type: snfs
lss: 1
rlim: 1440000
alim: 1440000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1440000/1440000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [720000, 1320001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 218250 x 218491
Total sieving time: 4.59 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,138.000,5,0,0,0,0,0,0,0,0,1440000,1440000,26,26,48,48,2.3,2.3,75000
total time: 4.85 hours.
 --------- CPU info (if available) ----------

3939755187218963168564073683454277537648892061874153338956209989139586816829311362788017536263011469626285242624363<115>

252582742401819496101004032224677833111279988837135163<54>
15597879529518414507388705585990268985508739535035277037248401<62>

Number: 62227_138
N=3939755187218963168564073683454277537648892061874153338956209989139586816829311362788017536263011469626285242624363
  ( 115 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=252582742401819496101004032224677833111279988837135163 (pp54)
 r2=15597879529518414507388705585990268985508739535035277037248401 (pp62)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 9.47 hours.
Scaled time: 4.48 units (timescale=0.473).
Factorization parameters were as follows:
name: 62227_138
n: 3939755187218963168564073683454277537648892061874153338956209989139586816829311362788017536263011469626285242624363
m: 10000000000000000000000000000
deg: 5
c5: 14
c0: 1075
skew: 2.38
type: snfs
lss: 1
rlim: 1580000
alim: 1580000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1580000/1580000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [790000, 1490001)
Primes: RFBsize:119758, AFBsize:119798, largePrimes:3500496 encountered
Relations: rels:3503621, finalFF:331649
Max relations in full relation-set: 28
Initial matrix: 239623 x 331649 with sparse part having weight 26600511.
Pruned matrix : 205538 x 206800 with weight 12852082.
Total sieving time: 8.47 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.79 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1580000,1580000,26,26,48,48,2.3,2.3,100000
total time: 9.47 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

1713437644129327058688367892522417892364908148116768536706504340616505826625808007270359281141562335294994678738154229856960871271<130>

16917846419888696768298044123057919511670201250983773<53>
101279891163629551253563290479520952949599673934425934851975389746050526567827<78>

Number: 62227_139
N=1713437644129327058688367892522417892364908148116768536706504340616505826625808007270359281141562335294994678738154229856960871271
  ( 130 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=16917846419888696768298044123057919511670201250983773 (pp53)
 r2=101279891163629551253563290479520952949599673934425934851975389746050526567827 (pp78)
Version: Msieve-1.40
Total time: 5.80 hours.
Scaled time: 11.89 units (timescale=2.051).
Factorization parameters were as follows:
name: 62227_139
n: 1713437644129327058688367892522417892364908148116768536706504340616505826625808007270359281141562335294994678738154229856960871271
m: 10000000000000000000000000000
deg: 5
c5: 28
c0: 215
skew: 1.50
type: snfs
lss: 1
rlim: 1590000
alim: 1590000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1590000/1590000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [795000, 1495001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 237030 x 237272
Total sieving time: 5.51 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1590000,1590000,26,26,48,48,2.3,2.3,100000
total time: 5.80 hours.
 --------- CPU info (if available) ----------

5656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565657<142>

68896062191871030491723833548784337537918021729<47>
82102887692078698167555009410022945808543510134623548922165046341705571318356455365072720933433<95>

Number: n
N=5656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565657
  ( 142 digits)
SNFS difficulty: 143 digits.
Divisors found:

Sun May 24 15:38:08 2009  prp47 factor: 68896062191871030491723833548784337537918021729
Sun May 24 15:38:08 2009  prp95 factor: 82102887692078698167555009410022945808543510134623548922165046341705571318356455365072720933433
Sun May 24 15:38:08 2009  elapsed time 00:23:38 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 4.91 hours.
Scaled time: 8.95 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_6_2_141_7
n: 5656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565657
m: 20000000000000000000000000000
deg: 5
c5: 175
c0: 43
skew: 0.76
type: snfs
lss: 1
rlim: 1800000
alim: 1800000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.3
alambda: 2.3
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [900000, 1748963)
Primes: RFBsize:135072, AFBsize:135383, largePrimes:5996260 encountered
Relations: rels:5238251, finalFF:247066
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 462130 hash collisions in 5983346 relations
Msieve: matrix is 270478 x 270726 (72.3 MB)

Total sieving time: 4.82 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,143,5,0,0,0,0,0,0,0,0,1800000,1800000,28,28,56,56,2.3,2.3,100000
total time: 4.91 hours.
 --------- CPU info (if available) ----------

3225492866286339988432275090241219659458968821377202212036109173924177050533883647824390348308870310341673<106>

1032081249274106458614747291742945237133<40>
3125231534392205434001538433222177150023095481011878101744560218381<67>

Number: 62227_144
N=3225492866286339988432275090241219659458968821377202212036109173924177050533883647824390348308870310341673
  ( 106 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=1032081249274106458614747291742945237133 (pp40)
 r2=3125231534392205434001538433222177150023095481011878101744560218381 (pp67)
Version: Msieve-1.40
Total time: 8.53 hours.
Scaled time: 17.22 units (timescale=2.019).
Factorization parameters were as follows:
name: 62227_144
n: 3225492866286339988432275090241219659458968821377202212036109173924177050533883647824390348308870310341673
m: 100000000000000000000000000000
deg: 5
c5: 28
c0: 215
skew: 1.50
type: snfs
lss: 1
rlim: 1930000
alim: 1930000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1930000/1930000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [965000, 1965001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 295553 x 295788
Total sieving time: 8.07 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.29 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1930000,1930000,26,26,49,49,2.3,2.3,100000
total time: 8.53 hours.
 --------- CPU info (if available) ----------

92788820425584484372450631418906503883926540579412767808945265882752439664813153845210701883662809020035395189181148232707<122>

150749794589437620706289474468020105961<39>
615515402049415406036097417507594704876193733951431676017316119220986881163077938187<84>

Number: 62227_149
N=92788820425584484372450631418906503883926540579412767808945265882752439664813153845210701883662809020035395189181148232707
  ( 122 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=150749794589437620706289474468020105961 (pp39)
 r2=615515402049415406036097417507594704876193733951431676017316119220986881163077938187 (pp84)
Version: Msieve-1.40
Total time: 15.19 hours.
Scaled time: 31.57 units (timescale=2.078).
Factorization parameters were as follows:
name: 62227_149
n: 92788820425584484372450631418906503883926540579412767808945265882752439664813153845210701883662809020035395189181148232707
m: 1000000000000000000000000000000
deg: 5
c5: 28
c0: 215
skew: 1.50
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 1750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 370302 x 370550
Total sieving time: 14.54 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.47 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,151.000,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 15.19 hours.
 --------- CPU info (if available) ----------

70065326294637878981668261731991506218824553413226891366512464715316805317115533774559626960853188454863060360342646504981179<125>

93975190122255146831769552633703935437239278355207260903635149<62>
745572594250544127634375047849152507123131772168599590838274471<63>

Number: 62227_151
N=70065326294637878981668261731991506218824553413226891366512464715316805317115533774559626960853188454863060360342646504981179
  ( 125 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=93975190122255146831769552633703935437239278355207260903635149
 r2=745572594250544127634375047849152507123131772168599590838274471
Version: 
Total time: 6.94 hours.
Scaled time: 16.60 units (timescale=2.391).
Factorization parameters were as follows:
n: 70065326294637878981668261731991506218824553413226891366512464715316805317115533774559626960853188454863060360342646504981179
m: 2000000000000000000000000000000
deg: 5
c5: 35
c0: 86
skew: 1.20
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1100000, 1700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8198304
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 316651 x 316899
Total sieving time: 6.34 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,153,5,0,0,0,0,0,0,0,0,2200000,2200000,27,27,50,50,2.4,2.4,100000
total time: 6.94 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673793)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672305)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

132357409496780157389212183926742930693742441984686316735685449045612894064896546327354637730958479189188077024805444692053<123>

207855748749177702475903581228065689<36>
636775313135541920644661803313139569186068666649278705384340856517311504776930805506077<87>

GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 132357409496780157389212183926742930693742441984686316735685449045612894064896546327354637730958479189188077024805444692053 (123 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=6068088808
Step 1 took 9885ms
Step 2 took 4900ms
********** Factor found in step 2: 207855748749177702475903581228065689
Found probable prime factor of 36 digits: 207855748749177702475903581228065689
Probable prime cofactor 636775313135541920644661803313139569186068666649278705384340856517311504776930805506077 has 87 digits

Core 2 Quad Q6700

420625100354213989271404477725132661551849759673007129335617539497540306287779136642658816144155216842071097904566285316449<123>

389870705611988238369726947353<30>
92761963956040897493510077601053423<35>
11630667659548072946415545987059571680567690307767207819271<59>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2813365054
Step 1 took 11317ms
Step 2 took 5645ms
********** Factor found in step 2: 389870705611988238369726947353
Found probable prime factor of 30 digits: 389870705611988238369726947353
Composite cofactor 1078883574219688887059781833004601860775772060817862175000544130711681997737837040792199914633 has 94 digits
----------------------
Sun May 24 19:37:17 2009  Msieve v. 1.41
Sun May 24 19:37:17 2009  random seeds: f1b7c9b4 8e4f20a1
Sun May 24 19:37:17 2009  factoring 1078883574219688887059781833004601860775772060817862175000544130711681997737837040792199914633 (94 digits)
Sun May 24 19:37:18 2009  searching for 15-digit factors
Sun May 24 19:37:19 2009  commencing quadratic sieve (94-digit input)
Sun May 24 19:37:19 2009  using multiplier of 2
Sun May 24 19:37:19 2009  using 32kb Intel Core sieve core
Sun May 24 19:37:19 2009  sieve interval: 36 blocks of size 32768
Sun May 24 19:37:19 2009  processing polynomials in batches of 6
Sun May 24 19:37:19 2009  using a sieve bound of 1980947 (74118 primes)
Sun May 24 19:37:19 2009  using large prime bound of 255542163 (27 bits)
Sun May 24 19:37:19 2009  using double large prime bound of 1359667019806545 (42-51 bits)
Sun May 24 19:37:19 2009  using trial factoring cutoff of 51 bits
Sun May 24 19:37:19 2009  polynomial 'A' values have 12 factors
Sun May 24 22:08:52 2009  74293 relations (17920 full + 56373 combined from 1039979 partial), need 74214
Sun May 24 22:08:53 2009  begin with 1057899 relations
Sun May 24 22:08:54 2009  reduce to 194343 relations in 11 passes
Sun May 24 22:08:54 2009  attempting to read 194343 relations
Sun May 24 22:08:55 2009  recovered 194343 relations
Sun May 24 22:08:55 2009  recovered 178893 polynomials
Sun May 24 22:08:55 2009  attempting to build 74293 cycles
Sun May 24 22:08:55 2009  found 74293 cycles in 5 passes
Sun May 24 22:08:55 2009  distribution of cycle lengths:
Sun May 24 22:08:55 2009     length 1 : 17920
Sun May 24 22:08:55 2009     length 2 : 12771
Sun May 24 22:08:55 2009     length 3 : 12586
Sun May 24 22:08:55 2009     length 4 : 10058
Sun May 24 22:08:55 2009     length 5 : 7860
Sun May 24 22:08:55 2009     length 6 : 5167
Sun May 24 22:08:55 2009     length 7 : 3339
Sun May 24 22:08:55 2009     length 9+: 4592
Sun May 24 22:08:55 2009  largest cycle: 20 relations
Sun May 24 22:08:55 2009  matrix is 74118 x 74293 (19.0 MB) with weight 4686053 (63.08/col)
Sun May 24 22:08:55 2009  sparse part has weight 4686053 (63.08/col)
Sun May 24 22:08:56 2009  filtering completed in 3 passes
Sun May 24 22:08:56 2009  matrix is 70817 x 70881 (18.2 MB) with weight 4498517 (63.47/col)
Sun May 24 22:08:56 2009  sparse part has weight 4498517 (63.47/col)
Sun May 24 22:08:56 2009  saving the first 48 matrix rows for later
Sun May 24 22:08:56 2009  matrix is 70769 x 70881 (10.7 MB) with weight 3460039 (48.81/col)
Sun May 24 22:08:56 2009  sparse part has weight 2390791 (33.73/col)
Sun May 24 22:08:56 2009  matrix includes 64 packed rows
Sun May 24 22:08:56 2009  using block size 28352 for processor cache size 6144 kB
Sun May 24 22:08:56 2009  commencing Lanczos iteration
Sun May 24 22:08:56 2009  memory use: 10.9 MB
Sun May 24 22:09:14 2009  lanczos halted after 1121 iterations (dim = 70765)
Sun May 24 22:09:15 2009  recovered 14 nontrivial dependencies
Sun May 24 22:09:15 2009  prp35 factor: 92761963956040897493510077601053423
Sun May 24 22:09:15 2009  prp59 factor: 11630667659548072946415545987059571680567690307767207819271
Sun May 24 22:09:15 2009  elapsed time 02:31:58

GMP-ECM 6.2.1, Msieve v. 1.41

227896795628058710335314314166424003855735536627830620672743604025471001519443133269242576088187366592345094853326988207142020075590129167<138>

320942228218226583907804711929443473075863562997620056114681199<63>
710086662304528289565255283855826775901561463458072754281346535801862830433<75>

Number: n
N=227896795628058710335314314166424003855735536627830620672743604025471001519443133269242576088187366592345094853326988207142020075590129167
  ( 138 digits)
SNFS difficulty: 158 digits.
Divisors found:

Tue May 26 12:02:33 2009  prp63 factor: 320942228218226583907804711929443473075863562997620056114681199
Tue May 26 12:02:33 2009  prp75 factor: 710086662304528289565255283855826775901561463458072754281346535801862830433
Tue May 26 12:02:33 2009  elapsed time 01:12:33 (Msieve 1.39 - dependency 8)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 17.54 hours.
Scaled time: 46.45 units (timescale=2.649).
Factorization parameters were as follows:
name: KA_6_2_156_7
n: 227896795628058710335314314166424003855735536627830620672743604025471001519443133269242576088187366592345094853326988207142020075590129167
m: 20000000000000000000000000000000
deg: 5
c5: 175
c0: 43
skew: 0.76
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [1500000, 2549171)
Primes: RFBsize:216816, AFBsize:217001, largePrimes:12428958 encountered
Relations: rels:11393794, finalFF:436268
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1006927 hash collisions in 12751827 relations
Msieve: matrix is 518804 x 519052 (138.8 MB)

Total sieving time: 17.27 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,56,56,2.4,2.4,100000
total time: 17.54 hours.
 --------- CPU info (if available) ----------

124868999041184471648047806988204339197716681160389769661292840100787120654670323544495729926193502352442749793743171226614935224206747385555332575200124869<156>

131335550907515946628289499737357777353323247025711<51>
950763126802695634262216390025909375472382868521848823716068506070698983337343456509688484625876526536779<105>

Number: n
N=124868999041184471648047806988204339197716681160389769661292840100787120654670323544495729926193502352442749793743171226614935224206747385555332575200124869
  ( 156 digits)
SNFS difficulty: 161 digits.
Divisors found:

Tue May 26 11:51:07 2009  prp51 factor: 131335550907515946628289499737357777353323247025711
Tue May 26 11:51:07 2009  prp105 factor: 950763126802695634262216390025909375472382868521848823716068506070698983337343456509688484625876526536779
Tue May 26 11:51:07 2009  elapsed time 01:00:34 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 17.56 hours.
Scaled time: 46.71 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_6_2_157_7
n: 124868999041184471648047806988204339197716681160389769661292840100787120654670323544495729926193502352442749793743171226614935224206747385555332575200124869
m: 100000000000000000000000000000000
deg: 5
c5: 14
c0: 1075
skew: 2.38
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [1700000, 2719897)
Primes: RFBsize:243539, AFBsize:243744, largePrimes:12847464 encountered
Relations: rels:11612917, finalFF:421044
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 910588 hash collisions in 12545435 relations
Msieve: matrix is 635285 x 635533 (172.0 MB)

Total sieving time: 17.32 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3400000,3400000,28,28,56,56,2.4,2.4,100000
total time: 17.56 hours.
 --------- CPU info (if available) ----------

10324011791386102959321469009102640141118795635457083329933205374182497205761640135034992221084890050320448802746884963<119>

23586179971590229479094783927097020021<38>
437714449894873609652732767202131105370021782154533893534171532886167160496086903<81>

GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 10324011791386102959321469009102640141118795635457083329933205374182497205761640135034992221084890050320448802746884963 (119 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3294267125
Step 1 took 3303ms
Step 2 took 2127ms
********** Factor found in step 2: 23586179971590229479094783927097020021
Found probable prime factor of 38 digits: 23586179971590229479094783927097020021
Probable prime cofactor 437714449894873609652732767202131105370021782154533893534171532886167160496086903 has 81 digits

Core 2 Quad Q6700

245346252744473392713773264651954391624666663016908687743450233882316596771088286439921866261057056653436602715231332271824612453355358691823<141>

23731097486702355179310475185816769673<38>
68151158133676074312874348411451777745055799<44>
151700972667842036388110214409589568929986947480698193739649<60>

GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 245346252744473392713773264651954391624666663016908687743450233882316596771088286439921866261057056653436602715231332271824612453355358691823 (141 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2122690916
Step 1 took 4181ms
Step 2 took 2446ms
********** Factor found in step 2: 23731097486702355179310475185816769673
Found probable prime factor of 38 digits: 23731097486702355179310475185816769673
Composite cofactor 10338596977318574636609620997004061760631577234451161306507242896988534078032307853523486220823983674551 has 104 digits

Number: 62227_161
N=10338596977318574636609620997004061760631577234451161306507242896988534078032307853523486220823983674551
  ( 104 digits)
Divisors found:
 r1=68151158133676074312874348411451777745055799
 r2=151700972667842036388110214409589568929986947480698193739649
Version: 
Total time: 3.99 hours.
Scaled time: 9.53 units (timescale=2.387).
Factorization parameters were as follows:
name: 62227_161
n: 10338596977318574636609620997004061760631577234451161306507242896988534078032307853523486220823983674551
skew: 21347.68
# norm 3.13e+14
c5: 1800
c4: 223241370
c3: -14927947804901
c2: -49922189142606074
c1: 798958580446369787614
c0: -26568840382120456200144
# alpha -5.80
Y1: 51897908579
Y0: -89501759710446812431
# Murphy_E 2.37e-09
# M 1694559806196192336452944050483858266788892742415679960275701010130132314731881164627205298510258439261
type: gnfs
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 50/50
Sieved algebraic special-q in [750000, 1450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4950704
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 243927 x 244175
Polynomial selection time: 0.29 hours.
Total sieving time: 3.21 hours.
Total relation processing time: 0.33 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,26,26,50,50,2.6,2.6,50000
total time: 3.99 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673793)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672305)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)

GMP-ECM 6.2.3 / GGNFS / Msieve v1.39

Core 2 Quad Q6700

9426978887847316499591259177339751369402284659743241181896586427524629168471443390568790396652331861718178838223408061486266734976003041<136>

23983976853277442191852487114470582321131826167551<50>
393053201540223607796745824158765838141928859295078242639142682262167967738704645960991<87>

Number: n
N=9426978887847316499591259177339751369402284659743241181896586427524629168471443390568790396652331861718178838223408061486266734976003041
  ( 136 digits)
SNFS difficulty: 163 digits.
Divisors found:

Mon Jun 01 03:05:09 2009  prp50 factor: 23983976853277442191852487114470582321131826167551
Mon Jun 01 03:05:09 2009  prp87 factor: 393053201540223607796745824158765838141928859295078242639142682262167967738704645960991
Mon Jun 01 03:05:09 2009  elapsed time 00:56:26 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 24.18 hours.
Scaled time: 63.81 units (timescale=2.639).
Factorization parameters were as follows:
name: KA_6_2_161_7
n: 9426978887847316499591259177339751369402284659743241181896586427524629168471443390568790396652331861718178838223408061486266734976003041
m: 200000000000000000000000000000000
deg: 5
c5: 175
c0: 43
skew: 0.76
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [1900000, 3302917)
Primes: RFBsize:269987, AFBsize:270282, largePrimes:14135902 encountered
Relations: rels:13111233, finalFF:534265
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1138162 hash collisions in 14020541 relations
Msieve: matrix is 699147 x 699395 (188.5 MB)

Total sieving time: 23.90 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3800000,3800000,28,28,56,56,2.4,2.4,100000
total time: 24.18 hours.
 --------- CPU info (if available) ----------

379565803832259026549272385909975124883927421595938645898994828415922785470763266163741976588923456488880755335949626195462833052047960850498519015568975917905339<162>

309696278400778819235156054633314885731808278757399009<54>
1225606603322051740069831254149400184276453879353393307568364058398997457686804434974933893594153486691097371<109>

Number: n
N=379565803832259026549272385909975124883927421595938645898994828415922785470763266163741976588923456488880755335949626195462833052047960850498519015568975917905339
  ( 162 digits)
SNFS difficulty: 166 digits.
Divisors found:

Sat May 30 01:58:34 2009  prp54 factor: 309696278400778819235156054633314885731808278757399009
Sat May 30 01:58:34 2009  prp109 factor: 1225606603322051740069831254149400184276453879353393307568364058398997457686804434974933893594153486691097371
Sat May 30 01:58:34 2009  elapsed time 00:54:25 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 28.06 hours.
Scaled time: 74.05 units (timescale=2.639).
Factorization parameters were as follows:
name: KA_6_2_164_7
n: 379565803832259026549272385909975124883927421595938645898994828415922785470763266163741976588923456488880755335949626195462833052047960850498519015568975917905339
m: 1000000000000000000000000000000000
deg: 5
c5: 56
c0: 43
skew: 0.95
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2100000, 3676151)
Primes: RFBsize:296314, AFBsize:296021, largePrimes:14911125 encountered
Relations: rels:14135788, finalFF:539450
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1346121 hash collisions in 15874367 relations
Msieve: matrix is 638603 x 638851 (171.0 MB)

Total sieving time: 27.68 hours.
Total relation processing time: 0.38 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4200000,4200000,28,28,56,56,2.4,2.4,100000
total time: 28.06 hours.
 --------- CPU info (if available) ----------

417676292008222984442958100830765600797668357299784036404071871906370163691807401748398584551540081673829150829853007752114297951558419417521<141>

202190630619170096698842510247<30>

2065754930033945216243352113649333727221810688018550046454028316144656706557916899127021556696477554587231232743<112>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2717518823
Step 1 took 9233ms
Step 2 took 4972ms
********** Factor found in step 2: 202190630619170096698842510247
Found probable prime factor of 30 digits: 202190630619170096698842510247
Composite cofactor has 112 digits

GMP-ECM 6.2.3

2065754930033945216243352113649333727221810688018550046454028316144656706557916899127021556696477554587231232743<112>

12913859117422035067458198332956795125072403023589<50>
159964183537285427027730694363434784194223930354711288637274587<63>

Tue May 26 06:09:29 2009  Msieve v. 1.41
Tue May 26 06:09:29 2009  random seeds: 1d19d524 4eadf5fa
Tue May 26 06:09:29 2009  factoring 2065754930033945216243352113649333727221810688018550046454028316144656706557916899127021556696477554587231232743 (112 digits)
Tue May 26 06:09:31 2009  searching for 15-digit factors
Tue May 26 06:09:34 2009  commencing number field sieve (112-digit input)
Tue May 26 06:09:34 2009  R0: -3625033447227194025530
Tue May 26 06:09:34 2009  R1:  336182944457
Tue May 26 06:09:34 2009  A0: -23268323678036412887177004591
Tue May 26 06:09:34 2009  A1: -262632231566139633823819
Tue May 26 06:09:34 2009  A2: -1655649079234538915
Tue May 26 06:09:34 2009  A3:  84999748352463
Tue May 26 06:09:34 2009  A4:  390639850
Tue May 26 06:09:34 2009  A5:  3300
Tue May 26 06:09:34 2009  skew 116347.62, size 1.254584e-010, alpha -7.586029, combined = 8.633661e-010
Tue May 26 06:09:34 2009  
Tue May 26 06:09:34 2009  commencing relation filtering
Tue May 26 06:09:34 2009  commencing duplicate removal, pass 1
Tue May 26 06:11:31 2009  found 435423 hash collisions in 8143655 relations
Tue May 26 06:11:58 2009  added 58787 free relations
Tue May 26 06:11:58 2009  commencing duplicate removal, pass 2
Tue May 26 06:12:53 2009  found 339672 duplicates and 7862769 unique relations
Tue May 26 06:12:53 2009  memory use: 41.3 MB
Tue May 26 06:12:53 2009  reading rational ideals above 3604480
Tue May 26 06:12:53 2009  reading algebraic ideals above 3604480
Tue May 26 06:12:53 2009  commencing singleton removal, pass 1
Tue May 26 06:14:40 2009  relations with 0 large ideals: 138250
Tue May 26 06:14:40 2009  relations with 1 large ideals: 1038561
Tue May 26 06:14:40 2009  relations with 2 large ideals: 2734154
Tue May 26 06:14:40 2009  relations with 3 large ideals: 2897588
Tue May 26 06:14:40 2009  relations with 4 large ideals: 997490
Tue May 26 06:14:40 2009  relations with 5 large ideals: 0
Tue May 26 06:14:40 2009  relations with 6 large ideals: 56726
Tue May 26 06:14:40 2009  relations with 7+ large ideals: 0
Tue May 26 06:14:40 2009  7862769 relations and about 7636607 large ideals
Tue May 26 06:14:40 2009  commencing singleton removal, pass 2
Tue May 26 06:16:31 2009  found 3528605 singletons
Tue May 26 06:16:31 2009  current dataset: 4334164 relations and about 3416603 large ideals
Tue May 26 06:16:31 2009  commencing singleton removal, pass 3
Tue May 26 06:17:39 2009  found 719044 singletons
Tue May 26 06:17:39 2009  current dataset: 3615120 relations and about 2653573 large ideals
Tue May 26 06:17:39 2009  commencing singleton removal, pass 4
Tue May 26 06:18:28 2009  found 189682 singletons
Tue May 26 06:18:28 2009  current dataset: 3425438 relations and about 2460057 large ideals
Tue May 26 06:18:28 2009  commencing singleton removal, final pass
Tue May 26 06:19:21 2009  memory use: 66.6 MB
Tue May 26 06:19:21 2009  commencing in-memory singleton removal
Tue May 26 06:19:21 2009  begin with 3425438 relations and 2588466 unique ideals
Tue May 26 06:19:27 2009  reduce to 3051772 relations and 2208065 ideals in 15 passes
Tue May 26 06:19:27 2009  max relations containing the same ideal: 19
Tue May 26 06:19:28 2009  reading rational ideals above 720000
Tue May 26 06:19:28 2009  reading algebraic ideals above 720000
Tue May 26 06:19:28 2009  commencing singleton removal, final pass
Tue May 26 06:20:24 2009  keeping 2576865 ideals with weight <= 20, new excess is 231323
Tue May 26 06:20:28 2009  memory use: 90.6 MB
Tue May 26 06:20:28 2009  commencing in-memory singleton removal
Tue May 26 06:20:29 2009  begin with 3066465 relations and 2576865 unique ideals
Tue May 26 06:20:32 2009  reduce to 3048947 relations and 2487838 ideals in 8 passes
Tue May 26 06:20:32 2009  max relations containing the same ideal: 20
Tue May 26 06:20:36 2009  removing 749279 relations and 602892 ideals in 146387 cliques
Tue May 26 06:20:36 2009  commencing in-memory singleton removal
Tue May 26 06:20:36 2009  begin with 2299668 relations and 2487838 unique ideals
Tue May 26 06:20:40 2009  reduce to 2192609 relations and 1771961 ideals in 9 passes
Tue May 26 06:20:40 2009  max relations containing the same ideal: 20
Tue May 26 06:20:42 2009  removing 568468 relations and 422081 ideals in 146387 cliques
Tue May 26 06:20:42 2009  commencing in-memory singleton removal
Tue May 26 06:20:42 2009  begin with 1624141 relations and 1771961 unique ideals
Tue May 26 06:20:44 2009  reduce to 1525450 relations and 1244801 ideals in 10 passes
Tue May 26 06:20:44 2009  max relations containing the same ideal: 19
Tue May 26 06:20:45 2009  removing 81649 relations and 69335 ideals in 12314 cliques
Tue May 26 06:20:45 2009  commencing in-memory singleton removal
Tue May 26 06:20:46 2009  begin with 1443801 relations and 1244801 unique ideals
Tue May 26 06:20:47 2009  reduce to 1441089 relations and 1172727 ideals in 5 passes
Tue May 26 06:20:47 2009  max relations containing the same ideal: 18
Tue May 26 06:20:47 2009  relations with 0 large ideals: 25242
Tue May 26 06:20:47 2009  relations with 1 large ideals: 159541
Tue May 26 06:20:47 2009  relations with 2 large ideals: 390608
Tue May 26 06:20:47 2009  relations with 3 large ideals: 466073
Tue May 26 06:20:47 2009  relations with 4 large ideals: 287778
Tue May 26 06:20:47 2009  relations with 5 large ideals: 92935
Tue May 26 06:20:47 2009  relations with 6 large ideals: 17392
Tue May 26 06:20:47 2009  relations with 7+ large ideals: 1520
Tue May 26 06:20:47 2009  commencing 2-way merge
Tue May 26 06:20:50 2009  reduce to 897524 relation sets and 629162 unique ideals
Tue May 26 06:20:50 2009  commencing full merge
Tue May 26 06:21:03 2009  memory use: 45.4 MB
Tue May 26 06:21:03 2009  found 429073 cycles, need 393362
Tue May 26 06:21:03 2009  weight of 393362 cycles is about 27680407 (70.37/cycle)
Tue May 26 06:21:03 2009  distribution of cycle lengths:
Tue May 26 06:21:03 2009  1 relations: 39720
Tue May 26 06:21:03 2009  2 relations: 37268
Tue May 26 06:21:03 2009  3 relations: 39791
Tue May 26 06:21:03 2009  4 relations: 38591
Tue May 26 06:21:03 2009  5 relations: 36964
Tue May 26 06:21:03 2009  6 relations: 34142
Tue May 26 06:21:03 2009  7 relations: 31447
Tue May 26 06:21:03 2009  8 relations: 28300
Tue May 26 06:21:03 2009  9 relations: 24566
Tue May 26 06:21:03 2009  10+ relations: 82573
Tue May 26 06:21:03 2009  heaviest cycle: 17 relations
Tue May 26 06:21:03 2009  commencing cycle optimization
Tue May 26 06:21:04 2009  start with 2426704 relations
Tue May 26 06:21:12 2009  pruned 76457 relations
Tue May 26 06:21:12 2009  memory use: 62.3 MB
Tue May 26 06:21:12 2009  distribution of cycle lengths:
Tue May 26 06:21:12 2009  1 relations: 39720
Tue May 26 06:21:12 2009  2 relations: 38302
Tue May 26 06:21:12 2009  3 relations: 41621
Tue May 26 06:21:12 2009  4 relations: 39935
Tue May 26 06:21:12 2009  5 relations: 38536
Tue May 26 06:21:12 2009  6 relations: 35428
Tue May 26 06:21:12 2009  7 relations: 32474
Tue May 26 06:21:12 2009  8 relations: 28730
Tue May 26 06:21:12 2009  9 relations: 24690
Tue May 26 06:21:12 2009  10+ relations: 73926
Tue May 26 06:21:12 2009  heaviest cycle: 17 relations
Tue May 26 06:21:13 2009  RelProcTime: 530
Tue May 26 06:21:13 2009  
Tue May 26 06:21:13 2009  commencing linear algebra
Tue May 26 06:21:13 2009  read 393362 cycles
Tue May 26 06:21:14 2009  cycles contain 1279167 unique relations
Tue May 26 06:21:37 2009  read 1279167 relations
Tue May 26 06:21:40 2009  using 20 quadratic characters above 134216012
Tue May 26 06:21:50 2009  building initial matrix
Tue May 26 06:22:17 2009  memory use: 144.5 MB
Tue May 26 06:22:19 2009  read 393362 cycles
Tue May 26 06:22:20 2009  matrix is 393137 x 393362 (112.2 MB) with weight 37544918 (95.45/col)
Tue May 26 06:22:20 2009  sparse part has weight 26262120 (66.76/col)
Tue May 26 06:22:29 2009  filtering completed in 3 passes
Tue May 26 06:22:30 2009  matrix is 391430 x 391630 (111.9 MB) with weight 37438270 (95.60/col)
Tue May 26 06:22:30 2009  sparse part has weight 26207109 (66.92/col)
Tue May 26 06:22:31 2009  read 391630 cycles
Tue May 26 06:22:32 2009  matrix is 391430 x 391630 (111.9 MB) with weight 37438270 (95.60/col)
Tue May 26 06:22:32 2009  sparse part has weight 26207109 (66.92/col)
Tue May 26 06:22:32 2009  saving the first 48 matrix rows for later
Tue May 26 06:22:32 2009  matrix is 391382 x 391630 (107.1 MB) with weight 29862902 (76.25/col)
Tue May 26 06:22:32 2009  sparse part has weight 25728315 (65.70/col)
Tue May 26 06:22:32 2009  matrix includes 64 packed rows
Tue May 26 06:22:32 2009  using block size 65536 for processor cache size 3072 kB
Tue May 26 06:22:36 2009  commencing Lanczos iteration
Tue May 26 06:22:36 2009  memory use: 104.1 MB
Tue May 26 06:51:48 2009  lanczos halted after 6191 iterations (dim = 391380)
Tue May 26 06:51:49 2009  recovered 28 nontrivial dependencies
Tue May 26 06:51:49 2009  BLanczosTime: 1836
Tue May 26 06:51:49 2009  
Tue May 26 06:51:49 2009  commencing square root phase
Tue May 26 06:51:49 2009  reading relations for dependency 1
Tue May 26 06:51:49 2009  read 195890 cycles
Tue May 26 06:51:50 2009  cycles contain 791224 unique relations
Tue May 26 06:52:40 2009  read 791224 relations
Tue May 26 06:52:45 2009  multiplying 638908 relations
Tue May 26 06:54:36 2009  multiply complete, coefficients have about 26.49 million bits
Tue May 26 06:54:37 2009  initial square root is modulo 40454321
Tue May 26 06:57:24 2009  reading relations for dependency 2
Tue May 26 06:57:25 2009  read 195289 cycles
Tue May 26 06:57:25 2009  cycles contain 789633 unique relations
Tue May 26 06:58:16 2009  read 789633 relations
Tue May 26 06:58:22 2009  multiplying 638022 relations
Tue May 26 07:00:12 2009  multiply complete, coefficients have about 26.45 million bits
Tue May 26 07:00:13 2009  initial square root is modulo 39556393
Tue May 26 07:02:57 2009  sqrtTime: 668
Tue May 26 07:02:57 2009  prp50 factor: 12913859117422035067458198332956795125072403023589
Tue May 26 07:02:57 2009  prp63 factor: 159964183537285427027730694363434784194223930354711288637274587
Tue May 26 07:02:57 2009  elapsed time 00:53:28

GGNFS / Msieve v. 1.41

Intel Core 2 Duo T8100 / Windows Vista 32bit

2560778606040432031409473120026286862842617515944645726231703028047780271030618289067540422150066760117190517505152551127225133147724890763191178312489644507693<160>

19333098532550373816686399052437320026075307008972428010009612629104605191<74>
132455674486371148046277269230562934350373310994141895370938879096275193417660466241323<87>

Number: n
N=2560778606040432031409473120026286862842617515944645726231703028047780271030618289067540422150066760117190517505152551127225133147724890763191178312489644507693
  ( 160 digits)
SNFS difficulty: 171 digits.
Divisors found:

Fri Jun 05 16:15:56 2009  prp74 factor: 19333098532550373816686399052437320026075307008972428010009612629104605191
Fri Jun 05 16:15:56 2009  prp87 factor: 132455674486371148046277269230562934350373310994141895370938879096275193417660466241323
Fri Jun 05 16:15:56 2009  elapsed time 01:29:54 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 43.15 hours.
Scaled time: 112.46 units (timescale=2.606).
Factorization parameters were as follows:
name: KA_6_2_168_7
n: 2560778606040432031409473120026286862842617515944645726231703028047780271030618289067540422150066760117190517505152551127225133147724890763191178312489644507693
m: 10000000000000000000000000000000000
deg: 5
c5: 28
c0: 215
skew: 1.50
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2500000, 4900589)
Primes: RFBsize:348513, AFBsize:347706, largePrimes:16552047 encountered
Relations: rels:15738848, finalFF:690603
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1615751 hash collisions in 17010335 relations
Msieve: matrix is 911803 x 912051 (244.8 MB)

Total sieving time: 42.67 hours.
Total relation processing time: 0.49 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,56,56,2.4,2.4,100000
total time: 43.15 hours.
 --------- CPU info (if available) ----------

170773231106807584926442677369552188696236034293064959951485553950950732624520679323603418790193167424938174281054973291<120>

913359407733730867454204942251<30>
186972652452924239112747207858060766215361741312914837100521197879242145306970573282591041<90>

Run 38 out of 2318:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3857517126
Step 1 took 44672ms
Step 2 took 20984ms
********** Factor found in step 2: 913359407733730867454204942251
Found probable prime factor of 30 digits: 913359407733730867454204942251
Probable prime cofactor 18697265245292423911274720785806076621536174131291483710
0521197879242145306970573282591041 has 90 digits

GMP-ECM 6.2)

Pentium 4 2.4GHz, Windows XP and Cygwin)

29489314690718623223010678495488137434051832677762732644774472979130621190205309523601852918928050911467896120375104820029393068158331203522493121457793<152>

4348055652849016082220243703695083345140548441624041<52>
6782184278482284637049976494159111427301889288262111138498911476187356671381060939238025188748870873<100>

Number: 62227_177
N = 29489314690718623223010678495488137434051832677762732644774472979130621190205309523601852918928050911467896120375104820029393068158331203522493121457793 (152 digits)
SNFS difficulty: 179 digits.
Divisors found:
r1=4348055652849016082220243703695083345140548441624041 (pp52)
r2=6782184278482284637049976494159111427301889288262111138498911476187356671381060939238025188748870873 (pp100)
Version: Msieve v. 1.51 (SVN 845)
Total time: 65.76 hours.
Factorization parameters were as follows:
n: 29489314690718623223010678495488137434051832677762732644774472979130621190205309523601852918928050911467896120375104820029393068158331203522493121457793
m: 200000000000000000000000000000000000
deg: 5
c5: 175
c0: 43
skew: 0.76
# Murphy_E = 1.307e-10
type: snfs
lss: 1
rlim: 6700000
alim: 6700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 18085694
Relations: 2400100 relations
Pruned matrix : 1379668 x 1379894
Polynomial selection time: 0.00 hours.
Total sieving time: 63.85 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.37 hours.
time per square root: 0.44 hours.
Prototype def-par.txt line would be: snfs,179,5,0,0,0,0,0,0,0,0,6700000,6700000,28,28,53,53,2.5,2.5,100000
total time: 65.76 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz

GGNFS, Msieve

5656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565657<178>

11344343380024260457115967605538423116332562634899263825067<59>
498624333474077167029242363855886817081848222640868644668813635343289283688929391503016030544074083603519829915383917771<120>

[06/05 12:08:29] GGNFS-0.77.1-VC8(Sat 01/17/2009) : procrels
[06/05 12:18:07] There were 328787/9999999 duplicates.
[06/05 12:18:07] RelProcTime: 538.1
[06/05 12:19:22] GGNFS-0.77.1-VC8(Sat 01/17/2009) : procrels
[06/05 12:32:10] There were 821816/9694483 duplicates.
[06/05 12:32:10] RelProcTime: 702.5
[06/05 12:33:33] largePrimes: 17825819 , relations: 18543879
[06/05 12:33:50] GGNFS-0.77.1-VC8(Sat 01/17/2009) : matbuild
[06/05 12:36:44] largePrimes: 17825819 , relations: 18543879
[06/05 12:47:26] reduceRelSets dropped relation-set weight from 38957706 to 29025895.
[06/05 12:51:32] reduceRelSets dropped relation-set weight from 29025895 to 28948873.
[06/05 12:51:32] After removing heavy rel-sets, weight is 26752953.
[06/05 12:59:09] Heap stats for matbuild run.
[06/05 12:59:09] Max heap usage: 0 MB
[06/05 12:59:09] malloc/realloc errors: 0 
[06/05 12:59:09] total malloc's : 991 
[06/05 12:59:09] total realloc's: 569 
[06/05 12:59:09] rels:18543879, initialFF:0, finalFF:1674782
[06/05 12:59:09] depinf file written. Run matprune.
[06/05 13:03:14] GGNFS-0.77.1-VC8(Sat 01/17/2009) : matprune
[06/05 13:03:25] Pruning matrix with wt=0.700
[06/05 13:03:25] Initial matrix is 992017 x 1674782 with sparse part having weight 266215805.
[06/05 13:03:26] (total weight is 401811151)
[06/05 13:56:36] Matrix pruned to 813338 x 818362 with weight 93403634.
[06/05 13:56:40] Matrix is pruned. Run matsolve.
[06/05 13:56:40] Heap stats for matprune run:
[06/05 13:56:40] Max heap usage: 0 MB
[06/05 13:56:40] malloc/realloc errors: 0 
[06/05 13:56:40] total malloc's : 16 
[06/05 13:56:40] total realloc's: 0 
[06/05 13:56:55] GGNFS-0.77.1-VC8(Sat 01/17/2009) : matsolve (seed=2116475424)
[06/05 22:37:42] BLanczosTime: 31246.1
[06/05 22:37:42] Heap stats for matsolve run:
[06/05 22:37:42] Max heap usage: 0 MB
[06/05 22:37:42] malloc/realloc errors: 0 
[06/05 22:37:42] total malloc's : 14 
[06/05 22:37:42] total realloc's: 0 
[06/05 22:42:59] GGNFS-0.77.1-VC8(Sat 01/17/2009) : sqrt
[06/05 22:43:01] bmultiplier=1
[06/05 23:07:38] From dependence 0, sqrt obtained:
[06/05 23:07:38]   r1=1
[06/05 23:07:38]   r2=5656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565657
[06/05 23:07:38] sqrtTime: 1478.7
[06/05 23:12:12] GGNFS-0.77.1-VC8(Sat 01/17/2009) : sqrt
[06/05 23:12:13] bmultiplier=1
[06/05 23:36:49] From dependence 1, sqrt obtained:
[06/05 23:36:49]   r1=498624333474077167029242363855886817081848222640868644668813635343289283688929391503016030544074083603519829915383917771 (pp120)
[06/05 23:36:49]   r2=11344343380024260457115967605538423116332562634899263825067 (pp59)
[06/05 23:36:49] (pp=probable prime, c=composite)
[06/05 23:36:49] sqrtTime: 1477.0

GGNFS

216466810398309483889896367944748949466275373529233168218248579638528026153148946363069027319182209882377076316305586304472698697562108647575786064336015677948905228190285629<174>

181171096381880950196688491229541724951<39>
21710010978397999813281727798150144660471619<44>
55035429785334365846762305357639763154159435103083099501053376347999999212656560577391482841<92>

Number: 1
N=216466810398309483889896367944748949466275373529233168218248579638528026153148946363069027319182209882377076316305586304472698697562108647575786064336015677948905228190285629
  ( 174 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=181171096381880950196688491229541724951 (pp39)
 r2=21710010978397999813281727798150144660471619 (pp44)
 r3=55035429785334365846762305357639763154159435103083099501053376347999999212656560577391482841 (pp92)
Version: Msieve-1.40
Total time: 122.36 hours.
Scaled time: 212.78 units (timescale=1.739).
Factorization parameters were as follows:
n: 216466810398309483889896367944748949466275373529233168218248579638528026153148946363069027319182209882377076316305586304472698697562108647575786064336015677948905228190285629
m: 1000000000000000000000000000000000000
deg: 5
c5: 56
c0: 43
skew: 0.95
type: snfs
lss: 1
rlim: 7500000
alim: 7500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3750000, 5650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1388641 x 1388866
Total sieving time: 118.73 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 2.68 hours.
Time per square root: 0.77 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7500000,7500000,28,28,53,53,2.5,2.5,100000
total time: 122.36 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

1299187419733983858600209875793785018178093199680121910872156356429178331186615634619223495742847584826024114334800992052870443212999667778842548150211728717771<160>

77070395583281942176460981358816319<35>

16857152605764005065047232676396102366871417751924711712204360137910738853018733972405664108283513247694184519411936056181109<125>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2792916294
Step 1 took 10817ms
Step 2 took 5524ms
********** Factor found in step 2: 77070395583281942176460981358816319
Found probable prime factor of 35 digits: 77070395583281942176460981358816319
Composite cofactor has 125 digits

GMP-ECM 6.2.3

16857152605764005065047232676396102366871417751924711712204360137910738853018733972405664108283513247694184519411936056181109<125>

8811451651487964174323837198928493142015496863<46>
1913095965625299300842593872704910880769318426671905089504019118621828615432043<79>

Number: 62227_182
N = 16857152605764005065047232676396102366871417751924711712204360137910738853018733972405664108283513247694184519411936056181109 (125 digits)
Divisors found:
r1=8811451651487964174323837198928493142015496863 (pp46)
r2=1913095965625299300842593872704910880769318426671905089504019118621828615432043 (pp79)
Version: Msieve v. 1.43
Total time: 22.08 hours.
Factorization parameters were as follows:
# Murphy_E = 1.588709e-10, selected by Jeff Gilchrist
n: 16857152605764005065047232676396102366871417751924711712204360137910738853018733972405664108283513247694184519411936056181109
Y0: -988945101806413388444541
Y1: 46619356619399
c0: 345252897099515749349880144740
c1: 16744884629216264921754598
c2: -441036489356752317482
c3: -24071128396711
c4: 13578735000
c5: 17820
skew: 171252.46
type: gnfs
# selected mechanically
rlim: 6800000
alim: 6800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [3400000, 7400001)
Relations: 1609738 relations
Max relations in full relation-set: 0
Pruned matrix : 966541 x 966769
Polynomial selection time: 0.00 hours.
Total sieving time: 21.02 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.85 hours.
time per square root: 0.16 hours.
Prototype def-par.txt line would be: gnfs,124,5,65,2000,1e-05,0.28,250,20,50000,3600,6800000,6800000,27,27,52,52,2.5,2.5,100000
total time: 22.08 hours.
 --------- CPU info (if available) ----------

ggnfs + msieve 1.43

Core2 Quad @ 3.4GHz Windows7 64bit

285864612403146241220316326693108994647236260344065321557450870624863032308762142898147375347995562344811023903527898878132295457569348601087470872662205719075438405757<168>

22305975685058520499842367256057843460888380785261918559<56>
12815606743202466891235692924840335018757170872322926947293946559042647348381776847418160260752817477688725897123<113>

Number: 62227_183
N=285864612403146241220316326693108994647236260344065321557450870624863032308762142898147375347995562344811023903527898878132295457569348601087470872662205719075438405757
  ( 168 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=22305975685058520499842367256057843460888380785261918559
 r2=12815606743202466891235692924840335018757170872322926947293946559042647348381776847418160260752817477688725897123
Version: 
Total time: 61.12 hours.
Scaled time: 320.83 units (timescale=5.249).
Factorization parameters were as follows:
n: 285864612403146241220316326693108994647236260344065321557450870624863032308762142898147375347995562344811023903527898878132295457569348601087470872662205719075438405757
m: 2000000000000000000000000000000000000
deg: 5
c5: 1750
c0: 43
skew: 0.48
# Murphy_E = 6.99e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3700000, 6400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19810999
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1529901 x 1530149
Total sieving time: 56.75 hours.
Total relation processing time: 1.43 hours.
Matrix solve time: 2.81 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,54,54,2.5,2.5,100000
total time: 61.12 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.41 BogoMIPS (lpj=3400205)
Total of 12 processors activated (81604.92 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

21368261536002536932862324893066236813233432467705661316372132799765408384999207942945243829044566109178486923727152522773731133538016016025126014924898292863973903<164>

937631801436687905592235401300923420963159304305761943954507<60>
22789608355071769361861399745906217015570080410773832957642826245150010066248047031420070675287170727629<104>

N=21368261536002536932862324893066236813233432467705661316372132799765408384999207942945243829044566109178486923727152522773731133538016016025126014924898292863973903
  ( 164 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=937631801436687905592235401300923420963159304305761943954507 (pp60)
 r2=22789608355071769361861399745906217015570080410773832957642826245150010066248047031420070675287170727629 (pp104)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 148.06 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 21368261536002536932862324893066236813233432467705661316372132799765408384999207942945243829044566109178486923727152522773731133538016016025126014924898292863973903
m: 10000000000000000000000000000000000000
deg: 5
c5: 56
c0: 43
skew: 0.95
# Murphy_E = 7.182e-11
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4550000, 11350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1583855 x 1584084
Total sieving time: 145.12 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 2.53 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,9100000,9100000,28,28,54,54,2.5,2.5,100000
total time: 148.06 hours.
 --------- CPU info (if available) ----------

902118959702734632561952304743509215776933640184688135723130714793369226868749753941764467332090532973091373113331195678114634810849986416138156699402844637761049<162>

58045262016572887128888099753888857<35>
15541646783249331782258374772285235272347816600047608549641982111352344802341765058279612308967565859193730460809532798442526657<128>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3456060348
Step 1 took 10489ms
********** Factor found in step 1: 58045262016572887128888099753888857
Found probable prime factor of 35 digits: 58045262016572887128888099753888857
Probable prime cofactor has 128 digits

GMP-ECM 6.2.3

270698508674862068954385645568599246049995347488678847470533286047278872053623534390198618525218611492363327787651382209750679378002608301275974337938972718300757<162>

11025086094901464709399206703394173<35>
24552960978694416453854570836626616722502366594330092018830064432547389559040237317163181547498179941628296625794715878677908409<128>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2685050849
Step 1 took 12803ms
Step 2 took 5335ms
********** Factor found in step 2: 11025086094901464709399206703394173
Found probable prime factor of 35 digits: 11025086094901464709399206703394173
Probable prime cofactor 24552960978694416453854570836626616722502366594330092018830064432547389559040237317163181547498179941628296625794715878677908409 has 128 digits

GMP-ECM 6.3 [config GMP 5.0.1] [ECM]

C2D, 3 GHz, Mac OS X

140727846536723829862323480723713343285264370183687192167791881934437939085882217594780524232909987052508127499361312385561844452575433039626831392354398619786374390638658360385757<180>

72451451030457688810314067897009990086146373180132092648963<59>
1942374438816464747569281604625253309503973058253396282433714242806636608237814477501359226144216747608052218214408257439<121>

N=140727846536723829862323480723713343285264370183687192167791881934437939085882217594780524232909987052508127499361312385561844452575433039626831392354398619786374390638658360385757
  ( 180 digits)
SNFS difficulty: 189 digits.
Divisors found:
 r1=72451451030457688810314067897009990086146373180132092648963 (pp59)
 r2=1942374438816464747569281604625253309503973058253396282433714242806636608237814477501359226144216747608052218214408257439 (pp121)
Version: Msieve v. 1.48
Total time:
Scaled time: 16.99 units (timescale=0.450).
Factorization parameters were as follows:
n: 140727846536723829862323480723713343285264370183687192167791881934437939085882217594780524232909987052508127499361312385561844452575433039626831392354398619786374390638658360385757
m: 20000000000000000000000000000000000000
deg: 5
c5: 1750
c0: 43
skew: 0.48
type: snfs
lss: 1
rlim: 10200000
alim: 10200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 10200000/10200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5100000, 14700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1970686 x 1970912
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,189.000,5,0,0,0,0,0,0,0,0,10200000,10200000,28,28,54,54,2.5,2.5,100000
total time:

140497317620300940952422291902536321266954282313920197296903160198515248684592788690854964233635689817437935957449093915060060506193561854465799589513133632023492605254049269<174>

185297197074003229558797031560350501711429<42>
758226890848163786802089008950989885155042651145641584910927051736898685965856608085644985185439108605241083075649492601600281854961<132>

140497317620300940952422291902536321266954282313920197296903160198515248684592788690854964233635689817437935957449093915060060506193561854465799589513133632023492605254049269=185297197074003229558797031560350501711429*758226890848163786802089008950989885155042651145641584910927051736898685965856608085644985185439108605241083075649492601600281854961

cado polynomial
n: 140497317620300940952422291902536321266954282313920197296903160198515248684592788690854964233635689817437935957449093915060060506193561854465799589513133632023492605254049269
skew: 0.76
type: snfs
c0: 43
c5: 175
Y0: 200000000000000000000000000000000000000
Y1: -1
# f(x) = 175*x^5+43
# g(x) = -x+200000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11900000
tasks.lim1 = 11900000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 185297197074003229558797031560350501711429 758226890848163786802089008950989885155042651145641584910927051736898685965856608085644985185439108605241083075649492601600281854961
Info:Square Root: Total cpu/real time for sqrt: 620.22/195.573
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.18/2.18424
Info:Generate Free Relations: Total cpu/real time for freerel: 99.48/25.654
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 27689206
Info:Lattice Sieving: Average J: 1893.7 for 2511159 special-q, max bucket fill -bkmult 1.0,1s:1.121700
Info:Lattice Sieving: Total time: 677937s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 51.93/137.726
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 136.70000000000002s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 468.89/471.532
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 412.70000000000005s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 401.37/474.642
Info:Filtering - Merging: Merged matrix has 2287855 rows and total weight 390090152 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 329.7/94.7664
Info:Filtering - Merging: Total cpu/real time for replay: 87.7/80.8144
Info:Linear Algebra: Total cpu/real time for bwc: 85890.7/21970.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 13751.49, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (71680 iterations)
Info:Linear Algebra: Lingen CPU time 456.94, WCT time 132.75
Info:Linear Algebra: Mksol: WCT time 8083.1, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (35840 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 80.19/33.6727
Info:Square Root: Total cpu/real time for sqrt: 620.22/195.573
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.28826e+06/22206.6
185297197074003229558797031560350501711429 758226890848163786802089008950989885155042651145641584910927051736898685965856608085644985185439108605241083075649492601600281854961

cado-nfs-3.0.0

6 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

5963131414339290328882768497097872196004108626797917654254576082356059568924693723443596818565502825073166502740276663879403394596631242645026463189440008384743559883<166>

885589099655989983313918596721110789388577492351<48>
6733519435430820526383374068784491936166472103219352868542167344332312799301416743493701586928636002627724390564657333<118>

p48 factor: 885589099655989983313918596721110789388577492351
p118 factor: 6733519435430820526383374068784491936166472103219352868542167344332312799301416743493701586928636002627724390564657333


Msieve v. 1.54 (SVN 1034)
random seeds: 75e4eae7 e9a4d32a
factoring 5963131414339290328882768497097872196004108626797917654254576082356059568924693723443596818565502825073166502740276663879403394596631242645026463189440008384743559883 (166 digits)
searching for 15-digit factors
commencing number field sieve (166-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 215
A1: 0
A2: 0
A3: 0
A4: 0
A5: 28
skew 1.00, size 1.142e-13, alpha -0.179, combined = 2.103e-11 rroots = 1

commencing relation filtering
estimated available RAM is 15892.2 MB
commencing duplicate removal, pass 1
found 2329998 hash collisions in 36996469 relations
added 727823 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 37724292 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1237.2 MB
keeping 40190132 ideals with weight <= 200, target excess is 199960
commencing in-memory singleton removal
begin with 37724292 relations and 40190132 unique ideals
reduce to 14614265 relations and 13150340 ideals in 13 passes
max relations containing the same ideal: 115
removing 2118970 relations and 1718970 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 12495295 relations and 13150340 unique ideals
reduce to 12236572 relations and 11163404 ideals in 11 passes
max relations containing the same ideal: 99
removing 1695033 relations and 1295033 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 10541539 relations and 11163404 unique ideals
reduce to 10340627 relations and 9660729 ideals in 10 passes
max relations containing the same ideal: 86
removing 1598432 relations and 1198432 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 8742195 relations and 9660729 unique ideals
reduce to 8523434 relations and 8235265 ideals in 10 passes
max relations containing the same ideal: 77
removing 348175 relations and 291960 ideals in 56215 cliques
commencing in-memory singleton removal
begin with 8175259 relations and 8235265 unique ideals
reduce to 8164082 relations and 7932059 ideals in 8 passes
max relations containing the same ideal: 72
relations with 0 large ideals: 4148
relations with 1 large ideals: 10128
relations with 2 large ideals: 87064
relations with 3 large ideals: 405681
relations with 4 large ideals: 1137016
relations with 5 large ideals: 1989707
relations with 6 large ideals: 2264892
relations with 7+ large ideals: 2265446
commencing 2-way merge
reduce to 5050492 relation sets and 4818469 unique ideals
commencing full merge
memory use: 560.1 MB
found 2360880 cycles, need 2334669
weight of 2334669 cycles is about 210314406 (90.08/cycle)
distribution of cycle lengths:
1 relations: 198652
2 relations: 199348
3 relations: 207244
4 relations: 201485
5 relations: 195317
6 relations: 181336
7 relations: 169574
8 relations: 154359
9 relations: 137997
10+ relations: 689357
heaviest cycle: 26 relations
commencing cycle optimization
start with 17105197 relations
pruned 566601 relations
memory use: 508.4 MB
distribution of cycle lengths:
1 relations: 198652
2 relations: 204157
3 relations: 215382
4 relations: 207905
5 relations: 202592
6 relations: 186773
7 relations: 174725
8 relations: 157779
9 relations: 140891
10+ relations: 645813
heaviest cycle: 26 relations
RelProcTime: 980
elapsed time 00:16:21


Msieve v. 1.54 (SVN 1034)
random seeds: a72479ad 7a3f015d
factoring 5963131414339290328882768497097872196004108626797917654254576082356059568924693723443596818565502825073166502740276663879403394596631242645026463189440008384743559883 (166 digits)
searching for 15-digit factors
commencing number field sieve (166-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 215
A1: 0
A2: 0
A3: 0
A4: 0
A5: 28
skew 1.00, size 1.142e-13, alpha -0.179, combined = 2.103e-11 rroots = 1

commencing linear algebra
read 2334669 cycles
cycles contain 8010759 unique relations
read 8010759 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 991.7 MB
read 2334669 cycles
matrix is 2334492 x 2334669 (858.3 MB) with weight 253337102 (108.51/col)
sparse part has weight 199307806 (85.37/col)
filtering completed in 2 passes
matrix is 2333763 x 2333939 (858.2 MB) with weight 253310102 (108.53/col)
sparse part has weight 199298399 (85.39/col)
matrix starts at (0, 0)
matrix is 2333763 x 2333939 (858.2 MB) with weight 253310102 (108.53/col)
sparse part has weight 199298399 (85.39/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2333715 x 2333939 (816.5 MB) with weight 207939313 (89.09/col)
sparse part has weight 190713315 (81.71/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (8 threads)
memory use: 773.0 MB
linear algebra at 0.1%, ETA 2h34m
checkpointing every 910000 dimensions
lanczos halted after 36907 iterations (dim = 2333713)
recovered 38 nontrivial dependencies
BLanczosTime: 9271
elapsed time 02:34:32


Msieve v. 1.54 (SVN 1034)
random seeds: 01150745 45f9fc4a
factoring 5963131414339290328882768497097872196004108626797917654254576082356059568924693723443596818565502825073166502740276663879403394596631242645026463189440008384743559883 (166 digits)
searching for 15-digit factors
commencing number field sieve (166-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 215
A1: 0
A2: 0
A3: 0
A4: 0
A5: 28
skew 1.00, size 1.142e-13, alpha -0.179, combined = 2.103e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1167646 cycles
cycles contain 4004178 unique relations
read 4004178 relations
multiplying 4004178 relations
multiply complete, coefficients have about 109.59 million bits
initial square root is modulo 73502321
GCD is N, no factor found
reading relations for dependency 2
read 1167165 cycles
cycles contain 4006378 unique relations
read 4006378 relations
multiplying 4006378 relations
multiply complete, coefficients have about 109.65 million bits
initial square root is modulo 74209241
sqrtTime: 429
p48 factor: 885589099655989983313918596721110789388577492351
p118 factor: 6733519435430820526383374068784491936166472103219352868542167344332312799301416743493701586928636002627724390564657333
elapsed time 00:07:10

CADO-NFS/Msieve

785698923839480742838561797482669819466348687936547680891586788366542452827522893755274179247227958171261995097746960176150182373763236294138256440185406473277027053<165>

5347592237924209824901417458343983262958233985129987473060409479<64>
146925735711006219407745916609796391013901918258543282274790408251853746210046472092537110057682723307<102>

785698923839480742838561797482669819466348687936547680891586788366542452827522893755274179247227958171261995097746960176150182373763236294138256440185406473277027053=5347592237924209824901417458343983262958233985129987473060409479*146925735711006219407745916609796391013901918258543282274790408251853746210046472092537110057682723307

cado polynomial
n: 785698923839480742838561797482669819466348687936547680891586788366542452827522893755274179247227958171261995097746960176150182373763236294138256440185406473277027053
skew: 0.95
type: snfs
c0: 43
c5: 56
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 56*x^5+43
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13300000
tasks.lim1 = 13300000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 5347592237924209824901417458343983262958233985129987473060409479 146925735711006219407745916609796391013901918258543282274790408251853746210046472092537110057682723307
Info:Square Root: Total cpu/real time for sqrt: 632.83/200.107
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 27912947
Info:Lattice Sieving: Average J: 1893.48 for 2633547 special-q, max bucket fill -bkmult 1.0,1s:1.129220
Info:Lattice Sieving: Total time: 608049s
Info:Square Root: Total cpu/real time for sqrt: 632.83/200.107
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 118.26/139.58
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 138.6s
Info:Filtering - Merging: Merged matrix has 2359631 rows and total weight 402741448 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 652.96/180.381
Info:Filtering - Merging: Total cpu/real time for replay: 91.74/78.8915
Info:Linear Algebra: Total cpu/real time for bwc: 95462.1/24446.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 61147.42, WCT time 15611.34, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (74240 iterations)
Info:Linear Algebra: Lingen CPU time 509.27, WCT time 128.97
Info:Linear Algebra: Mksol: CPU time 32981.87,  WCT time 8430.31, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (37376 iterations)
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 514.64/531.007
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 431.1000000000001s
Info:Quadratic Characters: Total cpu/real time for characters: 81.34/35.2749
Info:Generate Factor Base: Total cpu/real time for makefb: 5.65/2.74118
Info:Filtering - Singleton removal: Total cpu/real time for purge: 413.15/440.317
Info:Generate Free Relations: Total cpu/real time for freerel: 122.07/32.8407
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.28276e+06/80567.9
Info:root: Cleaning up computation data in /tmp/cado.08qtsxk1
5347592237924209824901417458343983262958233985129987473060409479 146925735711006219407745916609796391013901918258543282274790408251853746210046472092537110057682723307

cado-nfs-3.0.0

3 x Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

39649724330919097059331448272238066302430154744697590153226708515430598000403415366521414792906281829861675842950199106985873048061964995881270404402222966751<158>

10457397014279678862876013604780829821116809327895451<53>
3791548152640375711708762512231069820475986432105562845570516499281627879600778488962179919052371200236301<106>

39649724330919097059331448272238066302430154744697590153226708515430598000403415366521414792906281829861675842950199106985873048061964995881270404402222966751=10457397014279678862876013604780829821116809327895451*3791548152640375711708762512231069820475986432105562845570516499281627879600778488962179919052371200236301

cado polynomial
n: 39649724330919097059331448272238066302430154744697590153226708515430598000403415366521414792906281829861675842950199106985873048061964995881270404402222966751
skew: 0.60
type: snfs
c0: 43
c5: 560
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 560*x^5+43
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13800000
tasks.lim1 = 13800000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 10457397014279678862876013604780829821116809327895451 3791548152640375711708762512231069820475986432105562845570516499281627879600778488962179919052371200236301
Info:Square Root: Total cpu/real time for sqrt: 682.67/212.498
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28290517
Info:Lattice Sieving: Average J: 1893.55 for 2835486 special-q, max bucket fill -bkmult 1.0,1s:1.126140
Info:Lattice Sieving: Total time: 852644s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.82/2.76767
Info:Generate Free Relations: Total cpu/real time for freerel: 118.22/32.1074
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 120.96/144.973
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 144.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 524.44/510.765
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 407.2000000000001s
Info:Filtering - Merging: Merged matrix has 2448439 rows and total weight 418558221 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 684.04/188.812
Info:Filtering - Merging: Total cpu/real time for replay: 94.17/81.7208
Info:Linear Algebra: Total cpu/real time for bwc: 103321/26456.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 66155.53, WCT time 16895.24, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (76800 iterations)
Info:Linear Algebra: Lingen CPU time 521.69, WCT time 132.14
Info:Linear Algebra: Mksol: CPU time 35774.92,  WCT time 9135.79, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (38400 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 83.62/36.2096
Info:Square Root: Total cpu/real time for sqrt: 682.67/212.498
Info:Filtering - Singleton removal: Total cpu/real time for purge: 416.17/384.809
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.78233e+06/59593.7
Info:root: Cleaning up computation data in /tmp/cado.wh4dzzqk
10457397014279678862876013604780829821116809327895451 3791548152640375711708762512231069820475986432105562845570516499281627879600778488962179919052371200236301

cado-nfs-3.0.0

6 x Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

37218711139278202742979083963496206874723510922567989327854731407360022646312422158364817871120092777008233097218651879453879742790691916484792550608266537081<158>

11189124234654702758475082153573953590281560511389659762381042607467145437867<77>
3326329242462538003520976006432470002078391716199018857128227377883167460743086443<82>

37218711139278202742979083963496206874723510922567989327854731407360022646312422158364817871120092777008233097218651879453879742790691916484792550608266537081=11189124234654702758475082153573953590281560511389659762381042607467145437867*3326329242462538003520976006432470002078391716199018857128227377883167460743086443

cado polynomial
n: 37218711139278202742979083963496206874723510922567989327854731407360022646312422158364817871120092777008233097218651879453879742790691916484792550608266537081
skew: 1.40
type: snfs
c0: 215
c6: 28
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 28*x^6+215
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14800000
tasks.lim1 = 14800000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 3326329242462538003520976006432470002078391716199018857128227377883167460743086443 11189124234654702758475082153573953590281560511389659762381042607467145437867
Info:Square Root: Total cpu/real time for sqrt: 1082.98/331.893
Info:Generate Free Relations: Total cpu/real time for freerel: 182.52/46.7809
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 157.22/194.213
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 192.89999999999998s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 725.85/758.45
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 617s
Info:Generate Factor Base: Total cpu/real time for makefb: 9.71/4.01048
Info:Filtering - Singleton removal: Total cpu/real time for purge: 601.24/697.996
Info:Linear Algebra: Total cpu/real time for bwc: 224104/57309.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 144313.37, WCT time 36770.65, iteration CPU time 0.32, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (108544 iterations)
Info:Linear Algebra: Lingen CPU time 756.41, WCT time 192.01
Info:Linear Algebra: Mksol: CPU time 77657.35,  WCT time 19830.48, iteration CPU time 0.35, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (54272 iterations)
Info:Square Root: Total cpu/real time for sqrt: 1082.98/331.893
Info:Filtering - Merging: Merged matrix has 3470083 rows and total weight 594357305 (171.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 982.74/271.916
Info:Filtering - Merging: Total cpu/real time for replay: 139.07/121.215
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 35141303
Info:Lattice Sieving: Average J: 1893.94 for 9420917 special-q, max bucket fill -bkmult 1.0,1s:1.189770
Info:Lattice Sieving: Total time: 1.9959e+06s
Info:Quadratic Characters: Total cpu/real time for characters: 121.64/52.0145
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 4.03584e+06/439294
3326329242462538003520976006432470002078391716199018857128227377883167460743086443 11189124234654702758475082153573953590281560511389659762381042607467145437867

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

33358518872533997104765547264904131300830484987199828892773823033281034588301937421431985465419115446302535921164583201960013853988964371799056367828290320716369303810796656202987306082017<188>

34403490045197949223784213048179377841004437<44>

969626012614094960150070018797364536392888188015226511025029081002542955178697123109410380273929285220417305426095294076558764491930221056237341<144>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=553195500
Step 1 took 15129ms
Step 2 took 6354ms
********** Factor found in step 2: 34403490045197949223784213048179377841004437
Found probable prime factor of 44 digits: 34403490045197949223784213048179377841004437
Composite cofactor 

969626012614094960150070018797364536392888188015226511025029081002542955178697123109410380273929285220417305426095294076558764491930221056237341<144>

12709330619507955766524630766573716363632445217166427601<56>
76292453288278232063826528609078346817709977947370297244469609280684519975766192907385741<89>

969626012614094960150070018797364536392888188015226511025029081002542955178697123109410380273929285220417305426095294076558764491930221056237341=12709330619507955766524630766573716363632445217166427601*76292453288278232063826528609078346817709977947370297244469609280684519975766192907385741

cado polynomial
n: 969626012614094960150070018797364536392888188015226511025029081002542955178697123109410380273929285220417305426095294076558764491930221056237341
skew: 0.96
type: snfs
c0: 43
c6: 56
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 56*x^6+43
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14900000
tasks.lim1 = 14900000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 76292453288278232063826528609078346817709977947370297244469609280684519975766192907385741 12709330619507955766524630766573716363632445217166427601
Info:Square Root: Total cpu/real time for sqrt: 802.79/245.829
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 557.29/577.422
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 474.1999999999999s
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29258932
Info:Lattice Sieving: Average J: 1893.27 for 4051111 special-q, max bucket fill -bkmult 1.0,1s:1.179870
Info:Lattice Sieving: Total time: 889185s
Info:Quadratic Characters: Total cpu/real time for characters: 94.71/41.9875
Info:Square Root: Total cpu/real time for sqrt: 802.79/245.829
Info:Generate Free Relations: Total cpu/real time for freerel: 182.9/47.1558
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 125.44/152.488
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 151.5s
Info:Filtering - Merging: Merged matrix has 2757420 rows and total weight 468850077 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 767.4/212.267
Info:Filtering - Merging: Total cpu/real time for replay: 109.14/95.5411
Info:Linear Algebra: Total cpu/real time for bwc: 133327/34107.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 85522.43, WCT time 21800.2, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (86528 iterations)
Info:Linear Algebra: Lingen CPU time 591.09, WCT time 149.89
Info:Linear Algebra: Mksol: CPU time 46196.89,  WCT time 11799.12, iteration CPU time 0.26, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (43520 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 9.73/3.76339
Info:Filtering - Singleton removal: Total cpu/real time for purge: 440.74/500.77
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.85474e+06/117634
Info:root: Cleaning up computation data in /tmp/cado.kiptumjv
76292453288278232063826528609078346817709977947370297244469609280684519975766192907385741 12709330619507955766524630766573716363632445217166427601

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

630387399664672654344470274051488150822426188967972245358361778695309041034858344078901389219962616357333549357609744670521953<126>

2008749061218436992848565483649771<34>
313820880783536836636772081534716495375043694090733253911265097187774233741468386340143215843<93>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1829143434
Step 1 took 7572ms
Step 2 took 4445ms
********** Factor found in step 2: 2008749061218436992848565483649771
Found probable prime factor of 34 digits: 2008749061218436992848565483649771
Probable prime cofactor has 93 digits

GMP-ECM 6.2.3

148256532065148294743988419994123243314818549071369453554146389566732947514598028259675614122608391884253198848261476063988305483238389979282076051620437864938804516137944969<174>

13668375528715525323194805556955217857<38>

10846682676641427042316265536434368615274942837169893451380046602342997021491091728063344041211150619459844626082788825704961224760310217<137>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1639091970
Step 1 took 12236ms
Step 2 took 9626ms
********** Factor found in step 2: 13668375528715525323194805556955217857
Found probable prime factor of 38 digits: 13668375528715525323194805556955217857
Composite cofactor 

10846682676641427042316265536434368615274942837169893451380046602342997021491091728063344041211150619459844626082788825704961224760310217<137>

12592600133984554645895996370772915895938681665689<50>
861353696713413877640307574053664936231247360006527431968456527111129742282878213298353<87>

Number: 62227_201
N = 10846682676641427042316265536434368615274942837169893451380046602342997021491091728063344041211150619459844626082788825704961224760310217 (137 digits)
Divisors found:
r1=12592600133984554645895996370772915895938681665689 (pp50)
r2=861353696713413877640307574053664936231247360006527431968456527111129742282878213298353 (pp87)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 113.34 hours.
Factorization parameters were as follows:
# Murphy_E = 3.284e-11, selected by Dmitry Domanov
n: 10846682676641427042316265536434368615274942837169893451380046602342997021491091728063344041211150619459844626082788825704961224760310217
Y0: -259374045341543353626538865
Y1: 546272036110411
c0: 77480917423029468902194023048023952
c1: 220777495005534228030027668796
c2: 284202214335261272265624
c3: -152063214700295989
c4: -76917574898
c5: 9240
skew: 2364158.16
type: gnfs
# selected mechanically
rlim: 14200000
alim: 14200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 14200000/14200000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 22396809
Relations: 3562928 relations
Pruned matrix : 2133139 x 2133369
Polynomial selection time: 0.00 hours.
Total sieving time: 110.07 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.96 hours.
time per square root: 0.19 hours.
Prototype def-par.txt line would be: gnfs,136,5,65,2000,1e-05,0.28,250,20,50000,3600,14200000,14200000,28,28,55,55,2.6,2.6,100000
total time: 113.34 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

5656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565657<202>

430270091015054667643764166187119702272619904315042374067203<60>
13146546261724103154134734048449804194958643080538462991695579386437701046476401588101268264567193940577012483460643381470898174364294389389619<143>

Total sieving time: ~28 CPU-days
Total postprocessing time: 32:20 hours
prp60 factor: 430270091015054667643764166187119702272619904315042374067203
prp143 factor: 13146546261724103154134734048449804194958643080538462991695579386437701046476401588101268264567193940577012483460643381470898174364294389389619

GGNFS/msieve 1.41

207407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407409<204>

591752848190830505194723691088958573025065122850764427487837<60>
350496677863934757609414005722989412369536157605989693540146711579200859237238102599130471318852834601704462309602498012951936078401332556541157<144>

Sieving time ~ 40 cpu-days

Thu Jul 16 01:25:58 2009  Msieve v. 1.42
Thu Jul 16 01:25:58 2009  random seeds: c56a6980 fe74d888
Thu Jul 16 01:25:58 2009  factoring 207407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407409 (204 digits)
Thu Jul 16 01:26:05 2009  
Thu Jul 16 01:26:05 2009  
Thu Jul 16 01:26:05 2009  Msieve v. 1.42
Thu Jul 16 01:26:05 2009  random seeds: f71ce5d8 4f84c420
Thu Jul 16 01:26:05 2009  factoring 207407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407409 (204 digits)
Thu Jul 16 01:26:07 2009  searching for 15-digit factors
Thu Jul 16 01:26:10 2009  commencing number field sieve (204-digit input)
Thu Jul 16 01:26:10 2009  R0: -100000000000000000000000000000000000000000
Thu Jul 16 01:26:10 2009  R1:  1
Thu Jul 16 01:26:10 2009  A0:  1075
Thu Jul 16 01:26:10 2009  A1:  0
Thu Jul 16 01:26:10 2009  A2:  0
Thu Jul 16 01:26:10 2009  A3:  0
Thu Jul 16 01:26:10 2009  A4:  0
Thu Jul 16 01:26:10 2009  A5:  14
Thu Jul 16 01:26:10 2009  skew 2.38, size 3.186562e-014, alpha -0.612885, combined = 9.720684e-012
Thu Jul 16 01:26:10 2009  
Thu Jul 16 01:26:10 2009  commencing relation filtering
Thu Jul 16 01:26:10 2009  commencing duplicate removal, pass 1
Thu Jul 16 01:29:27 2009  error -11 reading relation 24287251
Thu Jul 16 01:31:01 2009  error -11 reading relation 34401760
Thu Jul 16 01:31:07 2009  error -9 reading relation 35087611
Thu Jul 16 01:31:12 2009  error -15 reading relation 35782753
Thu Jul 16 01:31:18 2009  error -9 reading relation 36477916
Thu Jul 16 01:31:24 2009  error -15 reading relation 37169656
Thu Jul 16 01:31:29 2009  error -9 reading relation 37870362
Thu Jul 16 01:31:35 2009  error -9 reading relation 38571298
Thu Jul 16 01:31:41 2009  found 5319528 hash collisions in 39277598 relations
Thu Jul 16 01:32:30 2009  added 840 free relations
Thu Jul 16 01:32:30 2009  commencing duplicate removal, pass 2
Thu Jul 16 01:33:43 2009  found 3699116 duplicates and 35579322 unique relations
Thu Jul 16 01:33:43 2009  memory use: 165.2 MB
Thu Jul 16 01:33:43 2009  reading rational ideals above 21168128
Thu Jul 16 01:33:43 2009  reading algebraic ideals above 21168128
Thu Jul 16 01:33:43 2009  commencing singleton removal, pass 1
Thu Jul 16 01:39:13 2009  relations with 0 large ideals: 581552
Thu Jul 16 01:39:13 2009  relations with 1 large ideals: 3668835
Thu Jul 16 01:39:13 2009  relations with 2 large ideals: 10320596
Thu Jul 16 01:39:13 2009  relations with 3 large ideals: 13424743
Thu Jul 16 01:39:13 2009  relations with 4 large ideals: 6899607
Thu Jul 16 01:39:13 2009  relations with 5 large ideals: 20129
Thu Jul 16 01:39:13 2009  relations with 6 large ideals: 663860
Thu Jul 16 01:39:13 2009  relations with 7+ large ideals: 0
Thu Jul 16 01:39:13 2009  35579322 relations and about 31817912 large ideals
Thu Jul 16 01:39:13 2009  commencing singleton removal, pass 2
Thu Jul 16 01:44:30 2009  found 11545324 singletons
Thu Jul 16 01:44:30 2009  current dataset: 24033998 relations and about 18608908 large ideals
Thu Jul 16 01:44:30 2009  commencing singleton removal, pass 3
Thu Jul 16 01:48:14 2009  found 2658569 singletons
Thu Jul 16 01:48:14 2009  current dataset: 21375429 relations and about 15826556 large ideals
Thu Jul 16 01:48:14 2009  commencing singleton removal, pass 4
Thu Jul 16 01:51:35 2009  found 701176 singletons
Thu Jul 16 01:51:35 2009  current dataset: 20674253 relations and about 15115803 large ideals
Thu Jul 16 01:51:35 2009  commencing singleton removal, pass 5
Thu Jul 16 01:54:54 2009  found 185715 singletons
Thu Jul 16 01:54:54 2009  current dataset: 20488538 relations and about 14929365 large ideals
Thu Jul 16 01:54:54 2009  commencing singleton removal, final pass
Thu Jul 16 01:58:25 2009  memory use: 351.4 MB
Thu Jul 16 01:58:25 2009  commencing in-memory singleton removal
Thu Jul 16 01:58:27 2009  begin with 20488538 relations and 18081880 unique ideals
Thu Jul 16 01:59:05 2009  reduce to 13835158 relations and 11057496 ideals in 23 passes
Thu Jul 16 01:59:05 2009  max relations containing the same ideal: 40
Thu Jul 16 01:59:10 2009  reading rational ideals above 720000
Thu Jul 16 01:59:10 2009  reading algebraic ideals above 720000
Thu Jul 16 01:59:10 2009  commencing singleton removal, final pass
Thu Jul 16 02:02:23 2009  keeping 12338074 ideals with weight <= 20, new excess is 1437415
Thu Jul 16 02:02:42 2009  memory use: 360.9 MB
Thu Jul 16 02:02:42 2009  commencing in-memory singleton removal
Thu Jul 16 02:02:44 2009  begin with 13866106 relations and 12338074 unique ideals
Thu Jul 16 02:03:09 2009  reduce to 13835805 relations and 12287758 ideals in 12 passes
Thu Jul 16 02:03:09 2009  max relations containing the same ideal: 20
Thu Jul 16 02:03:11 2009  filtering wants 358062 more relations
Thu Jul 16 02:03:11 2009  elapsed time 00:37:06
Thu Jul 16 20:16:09 2009  
Thu Jul 16 20:16:09 2009  
Thu Jul 16 20:16:09 2009  Msieve v. 1.42
Thu Jul 16 20:16:09 2009  random seeds: 641e9e94 e8e91ac0
Thu Jul 16 20:16:09 2009  factoring 207407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407409 (204 digits)
Thu Jul 16 20:16:11 2009  searching for 15-digit factors
Thu Jul 16 20:16:14 2009  commencing number field sieve (204-digit input)
Thu Jul 16 20:16:14 2009  R0: -100000000000000000000000000000000000000000
Thu Jul 16 20:16:14 2009  R1:  1
Thu Jul 16 20:16:14 2009  A0:  1075
Thu Jul 16 20:16:14 2009  A1:  0
Thu Jul 16 20:16:14 2009  A2:  0
Thu Jul 16 20:16:14 2009  A3:  0
Thu Jul 16 20:16:14 2009  A4:  0
Thu Jul 16 20:16:14 2009  A5:  14
Thu Jul 16 20:16:14 2009  skew 2.38, size 3.186562e-014, alpha -0.612885, combined = 9.720684e-012
Thu Jul 16 20:16:14 2009  
Thu Jul 16 20:16:14 2009  commencing relation filtering
Thu Jul 16 20:16:14 2009  commencing duplicate removal, pass 1
Thu Jul 16 20:19:38 2009  error -11 reading relation 24287251
Thu Jul 16 20:22:02 2009  error -11 reading relation 34401760
Thu Jul 16 20:22:08 2009  error -9 reading relation 35087611
Thu Jul 16 20:22:14 2009  error -15 reading relation 35782753
Thu Jul 16 20:22:26 2009  error -9 reading relation 36477916
Thu Jul 16 20:22:37 2009  error -15 reading relation 37169656
Thu Jul 16 20:22:43 2009  error -9 reading relation 37870362
Thu Jul 16 20:22:54 2009  error -9 reading relation 38571298
Thu Jul 16 20:23:04 2009  error -11 reading relation 39277606
Thu Jul 16 20:23:47 2009  found 6511908 hash collisions in 44449153 relations
Thu Jul 16 20:24:38 2009  added 390 free relations
Thu Jul 16 20:24:38 2009  commencing duplicate removal, pass 2
Thu Jul 16 20:26:09 2009  found 4542027 duplicates and 39907516 unique relations
Thu Jul 16 20:26:09 2009  memory use: 165.2 MB
Thu Jul 16 20:26:09 2009  reading rational ideals above 22740992
Thu Jul 16 20:26:09 2009  reading algebraic ideals above 22740992
Thu Jul 16 20:26:09 2009  commencing singleton removal, pass 1
Thu Jul 16 20:33:34 2009  relations with 0 large ideals: 716732
Thu Jul 16 20:33:34 2009  relations with 1 large ideals: 4434970
Thu Jul 16 20:33:34 2009  relations with 2 large ideals: 11968351
Thu Jul 16 20:33:34 2009  relations with 3 large ideals: 14857882
Thu Jul 16 20:33:34 2009  relations with 4 large ideals: 7237102
Thu Jul 16 20:33:34 2009  relations with 5 large ideals: 32882
Thu Jul 16 20:33:34 2009  relations with 6 large ideals: 659597
Thu Jul 16 20:33:34 2009  relations with 7+ large ideals: 0
Thu Jul 16 20:33:34 2009  39907516 relations and about 32967969 large ideals
Thu Jul 16 20:33:34 2009  commencing singleton removal, pass 2
Thu Jul 16 20:39:52 2009  found 11282742 singletons
Thu Jul 16 20:39:52 2009  current dataset: 28624774 relations and about 20371358 large ideals
Thu Jul 16 20:39:52 2009  commencing singleton removal, pass 3
Thu Jul 16 20:44:48 2009  found 2206322 singletons
Thu Jul 16 20:44:48 2009  current dataset: 26418452 relations and about 18093846 large ideals
Thu Jul 16 20:44:48 2009  commencing singleton removal, pass 4
Thu Jul 16 20:49:32 2009  found 472986 singletons
Thu Jul 16 20:49:32 2009  current dataset: 25945466 relations and about 17617214 large ideals
Thu Jul 16 20:49:32 2009  commencing singleton removal, final pass
Thu Jul 16 20:55:53 2009  memory use: 532.8 MB
Thu Jul 16 20:55:53 2009  commencing in-memory singleton removal
Thu Jul 16 20:55:56 2009  begin with 25945466 relations and 21393353 unique ideals
Thu Jul 16 20:56:37 2009  reduce to 19717751 relations and 14872914 ideals in 14 passes
Thu Jul 16 20:56:37 2009  max relations containing the same ideal: 48
Thu Jul 16 20:56:43 2009  reading rational ideals above 720000
Thu Jul 16 20:56:43 2009  reading algebraic ideals above 720000
Thu Jul 16 20:56:43 2009  commencing singleton removal, final pass
Thu Jul 16 21:03:01 2009  keeping 15815981 ideals with weight <= 20, new excess is 1924615
Thu Jul 16 21:03:40 2009  memory use: 499.5 MB
Thu Jul 16 21:03:40 2009  commencing in-memory singleton removal
Thu Jul 16 21:03:43 2009  begin with 19718141 relations and 15815981 unique ideals
Thu Jul 16 21:04:11 2009  reduce to 19714577 relations and 15810571 ideals in 9 passes
Thu Jul 16 21:04:11 2009  max relations containing the same ideal: 20
Thu Jul 16 21:04:26 2009  removing 2731961 relations and 2331961 ideals in 400000 cliques
Thu Jul 16 21:04:27 2009  commencing in-memory singleton removal
Thu Jul 16 21:04:29 2009  begin with 16982616 relations and 15810571 unique ideals
Thu Jul 16 21:04:52 2009  reduce to 16727703 relations and 13217278 ideals in 9 passes
Thu Jul 16 21:04:52 2009  max relations containing the same ideal: 20
Thu Jul 16 21:05:05 2009  removing 2046788 relations and 1646788 ideals in 400000 cliques
Thu Jul 16 21:05:06 2009  commencing in-memory singleton removal
Thu Jul 16 21:05:08 2009  begin with 14680915 relations and 13217278 unique ideals
Thu Jul 16 21:05:28 2009  reduce to 14507203 relations and 11392654 ideals in 9 passes
Thu Jul 16 21:05:28 2009  max relations containing the same ideal: 20
Thu Jul 16 21:05:40 2009  removing 1838879 relations and 1438879 ideals in 400000 cliques
Thu Jul 16 21:05:41 2009  commencing in-memory singleton removal
Thu Jul 16 21:05:42 2009  begin with 12668324 relations and 11392654 unique ideals
Thu Jul 16 21:05:58 2009  reduce to 12506345 relations and 9787669 ideals in 8 passes
Thu Jul 16 21:05:58 2009  max relations containing the same ideal: 20
Thu Jul 16 21:06:08 2009  removing 1726132 relations and 1326132 ideals in 400000 cliques
Thu Jul 16 21:06:09 2009  commencing in-memory singleton removal
Thu Jul 16 21:06:10 2009  begin with 10780213 relations and 9787669 unique ideals
Thu Jul 16 21:06:25 2009  reduce to 10606310 relations and 8282583 ideals in 9 passes
Thu Jul 16 21:06:25 2009  max relations containing the same ideal: 20
Thu Jul 16 21:06:34 2009  removing 526329 relations and 435156 ideals in 91173 cliques
Thu Jul 16 21:06:34 2009  commencing in-memory singleton removal
Thu Jul 16 21:06:36 2009  begin with 10079981 relations and 8282583 unique ideals
Thu Jul 16 21:06:45 2009  reduce to 10062987 relations and 7830297 ideals in 6 passes
Thu Jul 16 21:06:45 2009  max relations containing the same ideal: 19
Thu Jul 16 21:06:56 2009  relations with 0 large ideals: 271062
Thu Jul 16 21:06:56 2009  relations with 1 large ideals: 1391142
Thu Jul 16 21:06:56 2009  relations with 2 large ideals: 3031669
Thu Jul 16 21:06:56 2009  relations with 3 large ideals: 3193544
Thu Jul 16 21:06:56 2009  relations with 4 large ideals: 1672318
Thu Jul 16 21:06:56 2009  relations with 5 large ideals: 419717
Thu Jul 16 21:06:56 2009  relations with 6 large ideals: 81329
Thu Jul 16 21:06:56 2009  relations with 7+ large ideals: 2206
Thu Jul 16 21:06:56 2009  commencing 2-way merge
Thu Jul 16 21:07:06 2009  reduce to 6429038 relation sets and 4196348 unique ideals
Thu Jul 16 21:07:06 2009  commencing full merge
Thu Jul 16 21:08:12 2009  memory use: 301.3 MB
Thu Jul 16 21:08:13 2009  found 3209621 cycles, need 2904548
Thu Jul 16 21:08:14 2009  weight of 2904548 cycles is about 203674766 (70.12/cycle)
Thu Jul 16 21:08:14 2009  distribution of cycle lengths:
Thu Jul 16 21:08:14 2009  1 relations: 405554
Thu Jul 16 21:08:14 2009  2 relations: 321261
Thu Jul 16 21:08:14 2009  3 relations: 317273
Thu Jul 16 21:08:14 2009  4 relations: 298681
Thu Jul 16 21:08:14 2009  5 relations: 283233
Thu Jul 16 21:08:14 2009  6 relations: 258043
Thu Jul 16 21:08:14 2009  7 relations: 231041
Thu Jul 16 21:08:14 2009  8 relations: 201003
Thu Jul 16 21:08:14 2009  9 relations: 173146
Thu Jul 16 21:08:14 2009  10+ relations: 415313
Thu Jul 16 21:08:14 2009  heaviest cycle: 16 relations
Thu Jul 16 21:08:15 2009  commencing cycle optimization
Thu Jul 16 21:08:21 2009  start with 15578527 relations
Thu Jul 16 21:08:55 2009  pruned 464052 relations
Thu Jul 16 21:08:55 2009  memory use: 415.4 MB
Thu Jul 16 21:08:55 2009  distribution of cycle lengths:
Thu Jul 16 21:08:55 2009  1 relations: 405554
Thu Jul 16 21:08:55 2009  2 relations: 330438
Thu Jul 16 21:08:55 2009  3 relations: 331927
Thu Jul 16 21:08:55 2009  4 relations: 309381
Thu Jul 16 21:08:55 2009  5 relations: 294647
Thu Jul 16 21:08:55 2009  6 relations: 266318
Thu Jul 16 21:08:55 2009  7 relations: 236587
Thu Jul 16 21:08:55 2009  8 relations: 202715
Thu Jul 16 21:08:55 2009  9 relations: 171618
Thu Jul 16 21:08:55 2009  10+ relations: 355363
Thu Jul 16 21:08:55 2009  heaviest cycle: 16 relations
Thu Jul 16 21:09:03 2009  RelProcTime: 2681
Thu Jul 16 21:09:03 2009  
Thu Jul 16 21:09:03 2009  commencing linear algebra
Thu Jul 16 21:09:08 2009  read 2904548 cycles
Thu Jul 16 21:09:15 2009  cycles contain 8808029 unique relations
Thu Jul 16 21:12:59 2009  read 8808029 relations
Thu Jul 16 21:13:19 2009  using 20 quadratic characters above 536869788
Thu Jul 16 21:14:06 2009  building initial matrix
Thu Jul 16 21:18:40 2009  memory use: 1022.6 MB
Thu Jul 16 21:18:52 2009  read 2904548 cycles
Thu Jul 16 21:20:09 2009  matrix is 2903959 x 2904548 (820.7 MB) with weight 259265005 (89.26/col)
Thu Jul 16 21:20:09 2009  sparse part has weight 194797795 (67.07/col)
Thu Jul 16 21:21:56 2009  filtering completed in 3 passes
Thu Jul 16 21:21:57 2009  matrix is 2888026 x 2888226 (818.2 MB) with weight 258365301 (89.45/col)
Thu Jul 16 21:21:57 2009  sparse part has weight 194268239 (67.26/col)
Thu Jul 16 21:22:23 2009  read 2888226 cycles
Thu Jul 16 21:40:33 2009  matrix is 2888026 x 2888226 (818.2 MB) with weight 258365301 (89.45/col)
Thu Jul 16 21:40:33 2009  sparse part has weight 194268239 (67.26/col)
Thu Jul 16 21:40:33 2009  saving the first 48 matrix rows for later
Thu Jul 16 21:40:35 2009  matrix is 2887978 x 2888226 (778.5 MB) with weight 204903337 (70.94/col)
Thu Jul 16 21:40:35 2009  sparse part has weight 186738649 (64.66/col)
Thu Jul 16 21:40:35 2009  matrix includes 64 packed rows
Thu Jul 16 21:40:35 2009  using block size 65536 for processor cache size 6144 kB
Thu Jul 16 21:41:03 2009  commencing Lanczos iteration (4 threads)
Thu Jul 16 21:41:03 2009  memory use: 859.7 MB
Fri Jul 17 16:38:12 2009  lanczos halted after 45672 iterations (dim = 2887977)
Fri Jul 17 16:38:34 2009  recovered 37 nontrivial dependencies
Fri Jul 17 16:38:42 2009  BLanczosTime: 70179
Fri Jul 17 16:38:42 2009  
Fri Jul 17 16:38:42 2009  commencing square root phase
Fri Jul 17 16:38:42 2009  reading relations for dependency 1
Fri Jul 17 16:39:10 2009  read 1444749 cycles
Fri Jul 17 16:39:13 2009  cycles contain 5349769 unique relations
Fri Jul 17 16:45:39 2009  read 5349769 relations
Fri Jul 17 16:46:16 2009  multiplying 4394854 relations
Fri Jul 17 16:52:56 2009  multiply complete, coefficients have about 124.55 million bits
Fri Jul 17 16:52:57 2009  initial square root is modulo 870936721
Fri Jul 17 17:05:43 2009  reading relations for dependency 2
Fri Jul 17 17:05:44 2009  read 1443452 cycles
Fri Jul 17 17:05:48 2009  cycles contain 5351642 unique relations
Fri Jul 17 17:11:20 2009  read 5351642 relations
Fri Jul 17 17:11:57 2009  multiplying 4399136 relations
Fri Jul 17 17:18:46 2009  multiply complete, coefficients have about 124.68 million bits
Fri Jul 17 17:18:47 2009  initial square root is modulo 889146281
Fri Jul 17 17:31:55 2009  reading relations for dependency 3
Fri Jul 17 17:31:56 2009  read 1442841 cycles
Fri Jul 17 17:32:00 2009  cycles contain 5342987 unique relations
Fri Jul 17 17:36:56 2009  read 5342987 relations
Fri Jul 17 17:37:31 2009  multiplying 4391770 relations
Fri Jul 17 17:44:00 2009  multiply complete, coefficients have about 124.47 million bits
Fri Jul 17 17:44:01 2009  initial square root is modulo 858842561
Fri Jul 17 17:57:08 2009  sqrtTime: 4706
Fri Jul 17 17:57:08 2009  prp60 factor: 591752848190830505194723691088958573025065122850764427487837
Fri Jul 17 17:57:08 2009  prp144 factor: 350496677863934757609414005722989412369536157605989693540146711579200859237238102599130471318852834601704462309602498012951936078401332556541157
Fri Jul 17 17:57:08 2009  elapsed time 21:40:59

GGNFS/msieve 1.42

96291711436286191515455269739773581530765864347007571431015839765410027404264097202242729169971821192218483<107>

17421713889684715769444873988924930174109<41>
5527108988588079827553440739061199521530232366042028993526651019087<67>

N=96291711436286191515455269739773581530765864347007571431015839765410027404264097202242729169971821192218483
  ( 107 digits)
Divisors found:
 r1=17421713889684715769444873988924930174109 (pp41)
 r2=5527108988588079827553440739061199521530232366042028993526651019087 (pp67)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 14.68 hours.
Scaled time: 13.52 units (timescale=0.921).
Factorization parameters were as follows:
name: c107
n: 96291711436286191515455269739773581530765864347007571431015839765410027404264097202242729169971821192218483
skew: 19549.10
# norm 1.23e+15
c5: 112500
c4: 27611235
c3: -62038766718653
c2: -325648188773682980
c1: 6350119061001679894009
c0: 76252766259149987598637161
# alpha -6.34
Y1: 193699251953
Y0: -243493436869390159090
# Murphy_E 1.36e-09
# M 5018042698130010753746983298319888352044389473222779100111050021581389861199483500442433418956290109475173
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2450001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 294799 x 295025
Polynomial selection time: 0.95 hours.
Total sieving time: 13.16 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 14.68 hours.

31909174400637142337236584914843328150297645103556020333193741521657574623209787693886489880233546415563435879453938047766954863891037672636261794452092361289920010383610026246190541020638863689045761<200>

439555908905013021486022558956580833875893<42>
72594120006546512959150137219596547995643874336741624880690632611130063186146547844819916937539917349797879771682466313702408130511262091912207033883401714077<158>

Number: n
N=31909174400637142337236584914843328150297645103556020333193741521657574623209787693886489880233546415563435879453938047766954863891037672636261794452092361289920010383610026246190541020638863689045761
  ( 200 digits)
SNFS difficulty: 208 digits.
Divisors found:

Thu Aug  3 21:29:36 2017  prp42 factor: 439555908905013021486022558956580833875893
Thu Aug  3 21:29:36 2017  prp158 factor: 72594120006546512959150137219596547995643874336741624880690632611130063186146547844819916937539917349797879771682466313702408130511262091912207033883401714077
Thu Aug  3 21:29:36 2017  elapsed time 07:55:42 (Msieve 1.44 - dependency 4)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=3.824).
Factorization parameters were as follows:
#
# 56*10^207+43 62(206)7
#
n: 31909174400637142337236584914843328150297645103556020333193741521657574623209787693886489880233546415563435879453938047766954863891037672636261794452092361289920010383610026246190541020638863689045761
m: 200000000000000000000000000000000000000000
deg: 5
c5: 175
c0: 43
skew: 0.76
# Murphy_E = 6.692e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 10500000)
Primes: RFBsize:1329943, AFBsize:1329522,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10317892 hash collisions in 66142857 relations (58232400 unique)
Msieve: matrix is 2616559 x 2616784 (743.0 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 7hrs 22min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 14min 15sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

220022780215708762132193615331815961945488570405914526650455702538630696085283972794183226327611562354259464220956305440338269308668779671152381098314429054636763999244064590830314895817249078752832302173<204>

2972168147064148508391053617836051623<37>

74027702784259734353100550368932910719119411747489311858178414369965985579337927506439964099687512245791435275888726633728178139616967890339171981852192091168273877851<167>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1342411701
Step 1 took 18497ms
Step 2 took 13757ms
********** Factor found in step 2: 2972168147064148508391053617836051623
Found probable prime factor of 37 digits: 2972168147064148508391053617836051623
Composite cofactor

302328469084214674807940441291590409709062835733065556689287314621360586085332210399019591964541189554551393140382985385657753375551344551879025422585016385123279831991750751772130713873097625101900890249367<207>

44617471660570062799513374195824666616945290431026643094817905211175637905032197041<83>
6776010783044713724852627854099304993332507909043415576717420188599366138414824120811839707486408215411532897372041396914887<124>

Number: n
N=302328469084214674807940441291590409709062835733065556689287314621360586085332210399019591964541189554551393140382985385657753375551344551879025422585016385123279831991750751772130713873097625101900890249367
  ( 207 digits)
SNFS difficulty: 211 digits.
Divisors found:

Fri Nov  8 19:53:55 2019  p83 factor: 44617471660570062799513374195824666616945290431026643094817905211175637905032197041
Fri Nov  8 19:53:55 2019  p124 factor: 6776010783044713724852627854099304993332507909043415576717420188599366138414824120811839707486408215411532897372041396914887
Fri Nov  8 19:53:55 2019  elapsed time 03:08:56 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.130).
Factorization parameters were as follows:
#
# N = 56x10^210+43 = 62(209)7
#
n: 302328469084214674807940441291590409709062835733065556689287314621360586085332210399019591964541189554551393140382985385657753375551344551879025422585016385123279831991750751772130713873097625101900890249367
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 56
c0: 43
skew: 0.95
# Murphy_E = 5.769e-12
type: snfs
lss: 1
rlim: 24000000
alim: 24000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 24000000/24000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 44800000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8390864 hash collisions in 59939519 relations (53888736 unique)
Msieve: matrix is 2741808 x 2742034 (956.0 MB)

Sieving start time: 2019/11/07 22:39:37
Sieving end time  : 2019/11/08 16:43:57

Total sieving time: 18hrs 4min 20secs.

Total relation processing time: 2hrs 47min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 49sec.

Prototype def-par.txt line would be:
snfs,211,5,0,0,0,0,0,0,0,0,24000000,24000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149912] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284044K/16703460K available (12300K kernel code, 2481K rwdata, 4256K rodata, 2436K init, 2388K bss, 419416K reserved, 0K cma-reserved)
[    0.184564] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.54 BogoMIPS (lpj=11977096)
[    0.182216] smpboot: Total of 16 processors activated (95816.76 BogoMIPS)

104880735996562906653814307089438028499423723647095539694929920791788330396967608856047997556044218090697678520669683094805278888241385378057708515043902328531986714366640403412269566780053850272615376163<204>

2388801760580778363810289036276613869798849381470388871626433023018223433821405835900571526817091279178773591587155178636343117867369156598388071553556723916398458933412582277963899789024496930837863<199>

822449325181626454715105414796380353277093<42>
2904497198113993023201626826138535839347880925143401951573379217353814925348448039673210340115357883015590469881078788923723586192865903630388539548019236891<157>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=5711073
Step 1 took 59270ms
Step 2 took 27241ms
********** Factor found in step 2: 822449325181626454715105414796380353277093
Found probable prime factor of 42 digits: 822449325181626454715105414796380353277093
Probable prime cofactor

13751726771793166259626604716316279176034938442494700066084659701500549380256700389510539381106041414253414812216229588044899004826087473599477917657641268413405598755745726220550287281307609068376819620812489<209>

28562302162096864658454438022671433<35>

481464228399704071150587873338320056262660716790171015867171345603497599322415393688827479706011296787657753545238935236897194521948773163755027421266006058267009302929954433<174>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2884842101
Step 1 took 18053ms
Step 2 took 2556ms
********** Factor found in step 2: 28562302162096864658454438022671433
Found probable prime factor of 35 digits: 28562302162096864658454438022671433
Composite cofactor 

342945803322832481315014836850163248682932672548707019180522835696109681762763899545378840594663960386856515520711809054506203997235672935743034321931373159468867150141411967476137870747883168283333995267<204>

47840136149041368624921666376055819912701<41>

7168579166547888393055932678159642822885506787782472294578195672731365592282813008472206507821278780850948834731852601062607477200824943946666692225218252054234367<163>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3299591885
Step 1 took 18252ms
Step 2 took 13485ms
********** Factor found in step 2: 47840136149041368624921666376055819912701
Found probable prime factor of 41 digits: 47840136149041368624921666376055819912701
Composite cofactor

423964661928115981530457941753785054522656454608596423004849706672607083090601265102041285930944196958673387749656786399453234257212069422652314706890359344718243098913297394601645743346259<189>

90216358158941890999307267249850981908398176340760072817489085431669163726579994522578254635670903613487345544761812704396436453852721795305527362943630886214618272034539977123709181125449068032800090216358158941891<215>

99434981712871003886669636558471054740236916796535524042332384310039591<71>
907289935643083230047086120968774166192683510155992320985934122977732747688093210880163640521641766341523957884747894256152457065348164694775301<144>

RelProcTime: 2058
BLanczosTime: 17814
sqrtTime: 1404
prp71 factor: 99434981712871003886669636558471054740236916796535524042332384310039591
prp144 factor: 907289935643083230047086120968774166192683510155992320985934122977732747688093210880163640521641766341523957884747894256152457065348164694775301

978191040601503888900588199589754107945809072325829965420756503742222849573182052090017414304798323661709335586213731216061549958088436272887550278422307837399103965416048705379011498788802531833912757749153233<210>

225723113495337571243046190822519280053949<42>
38620934466543681345939837120562214493531569636753<50>
112208271141200838082842391328459858762273353317363097465852070390918988373352819960792865880961928034831857401701074389<120>

#
# N = 56x10^221+43 = 62(220)7
#
n: 978191040601503888900588199589754107945809072325829965420756503742222849573182052090017414304798323661709335586213731216061549958088436272887550278422307837399103965416048705379011498788802531833912757749153233
m: 100000000000000000000000000000000000000000000
deg: 5
c5: 560
c0: 43
skew: 0.60
# Murphy_E = 1.927e-12
type: snfs
lss: 1
rlim: 36000000
alim: 36000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6



GMP-ECM 6.2.3 [powered by GMP 6.1.2] [ECM]
Input number is 978191040601503888900588199589754107945809072325829965420756503742222849573182052090017414304798323661709335586213731216061549958088436272887550278422307837399103965416048705379011498788802531833912757749153233 (210 digits)
Using B1=300070000, B2=3178599824416, polynomial Dickson(30), sigma=4017029271
Step 1 took 1694642ms
Step 2 took 331801ms
********** Factor found in step 2: 38620934466543681345939837120562214493531569636753
Found probable prime factor of 50 digits: 38620934466543681345939837120562214493531569636753
Composite cofactor 25328000321920888230731750497792893827832001156015579904364934320039593319025829303938092592652625868033552455958251346836889721078044094814010266631091182212161 has 161 digits



GMP-ECM 6.2.3 [powered by GMP 6.1.2] [ECM]
Input number is 25328000321920888230731750497792893827832001156015579904364934320039593319025829303938092592652625868033552455958251346836889721078044094814010266631091182212161 (161 digits)
Using B1=200010000, B2=2383901369866, polynomial Dickson(30), sigma=2574647260
Step 1 took 781917ms
Step 2 took 206951ms
********** Factor found in step 2: 225723113495337571243046190822519280053949
Found probable prime factor of 42 digits: 225723113495337571243046190822519280053949
Probable prime cofactor 112208271141200838082842391328459858762273353317363097465852070390918988373352819960792865880961928034831857401701074389 has 120 digits

2449502763791296064683021186710979045073288534367767770153725383488628293067127123690056961052282085349421726379870550561262963683639357909708256936561839582009334159284195186461<178>

23766538995999697216114080213309200019417956627619857393520393151094842182920903867242163<89>
103065186066998986071491416684889110195426575119367177857595959050967752711106611899089647<90>

Number: 62227_222
N = 2449502763791296064683021186710979045073288534367767770153725383488628293067127123690056961052282085349421726379870550561262963683639357909708256936561839582009334159284195186461 (178 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=23766538995999697216114080213309200019417956627619857393520393151094842182920903867242163 (pp89)
r2=103065186066998986071491416684889110195426575119367177857595959050967752711106611899089647 (pp90)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 58.92 hours.
Factorization parameters were as follows:
n: 2449502763791296064683021186710979045073288534367767770153725383488628293067127123690056961052282085349421726379870550561262963683639357909708256936561839582009334159284195186461
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 5600
c0: 43
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 33587383
Relations: 10197606 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 31.26 hours.
Total relation processing time: 0.31 hours.
Pruned matrix : 8662135 x 8662360
Matrix solve time: 27.16 hours.
time per square root: 0.20 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 58.92 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

14639937908679149189445721910132849221686104271306630998603748783391781877646848439379009928680744339826039054999533968555831523901253619537956034151146065188440027506369687774341987479749264386209870404861101158731<215>

37527723203970430460134667864550365690851<41>
390109941631903871919121738685543100513545138738096219629922764472441262561040747670516380096124420338875544658739554897188432198362843406364717447680698438481233697278869881<174>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2231221765
Step 1 took 113264ms
Step 2 took 36276ms
********** Factor found in step 2: 37527723203970430460134667864550365690851
Found probable prime factor of 41 digits: 37527723203970430460134667864550365690851

1019283262743426397290601902902242133925650226632420561465633831983801891490492040351732318481166223477041795250097764765953370506643864833648017483203487067482838465926285240958660134859<187>

344299117235819360827662465025330319<36>
2960458542347330376910206078008125864449576201064614557658212898736612192103366338348910596729598547468534018491421636179249019515842365246625151526661<151>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3918465619
Step 1 took 14304ms
Step 2 took 11333ms
********** Factor found in step 2: 344299117235819360827662465025330319
Found probable prime factor of 36 digits: 344299117235819360827662465025330319
Probable prime cofactor

75166428467392641672448878893435808022234383256412762749824118992207331213353532816057014712789306037399665401293073173273745317810967476956789784077059024517701201970564799531291<179>

74824019325260501349329117718786242010613382621376210344431449375179235546380525297995485371974422033316819985596845169877257159917913069423135348297763869817521402711374871019907610630487724678973<197>

2047191514396099095171952597998407<34>

36549594309613399518218842456778816826661217057781157228638701266685801194920870745974632326861812904036922742269711214979627751744725936433867454392612987952917339<164>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=627701966
Step 1 took 62836ms
Step 2 took 31550ms
********** Factor found in step 2: 2047191514396099095171952597998407
Found probable prime factor of 34 digits: 2047191514396099095171952597998407
Composite cofactor 

36549594309613399518218842456778816826661217057781157228638701266685801194920870745974632326861812904036922742269711214979627751744725936433867454392612987952917339<164>

906529866380691380904770048617473553004073410509708951<54>
40318135855288669225116160633090914700451436497986925968890259475209048638055659192421218400993229643937805789<110>

GMP-ECM 7.0.6-dev [configured with GMP 6.3.0, --enable-asm-redc, --enable-assert] [ECM]
Tuned for x86_64/k8/params.h
Running on five
Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Wed Nov 15 16:12:21 2023
Input number is 36549594309613399518218842456778816826661217057781157228638701266685801194920870745974632326861812904036922742269711214979627751744725936433867454392612987952917339 (164 digits)
Using mpz_mod
Using lmax = 8388608 with NTT which takes about 2016MB of memory
Using B1=4000000000-4000000000, B2=205705378426380, polynomial x^1
P = 24249225, l = 8388608, s_1 = 4147200, k = s_2 = 2, m_1 = 79
Probability of finding a factor of n digits (assuming one exists):
20      25      30      35      40      45      50      55      60      65
0.71    0.43    0.21    0.087   0.032   0.01    0.003   0.00079 0.00019 4.5e-05
Step 1 took 0ms
Computing F from factored S_1 took 20428ms
Computing h took 2489ms
Computing DCT-I of h took 6477ms
Multi-point evaluation 1 of 2:
Computing g_i took 8244ms
Computing g*h took 12707ms
Computing gcd of coefficients and N took 2795ms
Step 2 took 53385ms
********** Factor found in step 2: 906529866380691380904770048617473553004073410509708951
Found prime factor of 54 digits: 906529866380691380904770048617473553004073410509708951
Prime cofactor 40318135855288669225116160633090914700451436497986925968890259475209048638055659192421218400993229643937805789 has 110 digits

1080 ti for stage 1

908221022073014482881655557177378809257367132129940479086589143515139720073306411067321883261162198543602718175773204236202338669131838012293420263059731750433837720365234596733647967044551484779188764008498353849397492661249777<228>

4324588913218688227497525426364357256555643882427445624074109931896909593807576141869656396455509850986231795372855207689514312790752391769604872197675374424219520093567491134079218139941873707427658141521878729<211>

325097164754780679839949242409016600367346372955461495067694299883602827344976424794918979116839003441695530966450462469084751207979051569269318084944001670902159902332089040387209312558283533<192>

53193773423358816969893065695353<32>
6111564264625411379122526176495713772249551816710817769585542644231888066303400966938279172678522756847057320418960473854900756377345230344621538557328645739061<160>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3811593112
Step 1 took 15721ms
Step 2 took 12153ms
********** Factor found in step 2: 53193773423358816969893065695353
Found probable prime factor of 32 digits: 53193773423358816969893065695353
Probable prime cofactor

2342965179939671634887144344335356768254896617148444720145317336919106602569625055883677224475842778735343442389025505179151934495747396525970505796643524670229786177381592562248678733931242732665374765580512632787843945273<223>

33958878735791222485570519146701961287819666213759338614964401476808577007382097010964922205335667058163037360496557684375160973176971724157333837150605632721580978331133059262377335609986362050808731180097277125238660301995109<227>

17957183501130025637824456611069029<35>

1891102729648790853939181126485115659596257183872501742564982459159966595550119230311851923563779061688328546946157829743347066091942597470045569904699881594964088616569906747039511106460139521<193>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=557725920
Step 1 took 21490ms
Step 2 took 14681ms
********** Factor found in step 2: 17957183501130025637824456611069029
Found probable prime factor of 35 digits: 17957183501130025637824456611069029
Composite cofactor

1891102729648790853939181126485115659596257183872501742564982459159966595550119230311851923563779061688328546946157829743347066091942597470045569904699881594964088616569906747039511106460139521<193>

4048087303696978366394451635835263305153<40>

467159571366386299263740201795226821791936414558700475219982552597076220680111241226505724117131034896140789220260284961420062034510348448501170310318657<153>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=3930386028
Step 1 took 58197ms
Step 2 took 31421ms
********** Factor found in step 2: 4048087303696978366394451635835263305153
Found probable prime factor of 40 digits: 4048087303696978366394451635835263305153
Composite cofactor 

467159571366386299263740201795226821791936414558700475219982552597076220680111241226505724117131034896140789220260284961420062034510348448501170310318657<153>

209582156390176944513315560830305046783547575721<48>
2229004507887017495277494517014211289278570514821740935024786498611429357659000992371241121884734538483417<106>

GMP-ECM 7.0.5-dev [configured with GMP 6.0.0, --enable-asm-redc, --enable-assert] [ECM]
Tuned for x86_64/core2/params.h
Running on MMspecial1
Input number is 467159571366386299263740201795226821791936414558700475219982552597076220680111241226505724117131034896140789220260284961420062034510348448501170310318657 (153 digits)
[Mon Mar  8 23:51:51 2021]
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=0:8838396004726908462
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
35   40      45      50      55      60      65      70      75      80
55      246     1286    7557    49831   361851  2844041 2.4e+07 2.2e+08 2.2e+09
Writing checkpoint to checkpnt at p = 43000000
Step 1 took 237198ms
Using 19 small primes for NTT
Estimated memory usage: 212.58MB
Initializing tables of differences for F took 86ms
Computing roots of F took 4661ms
Building F from its roots took 3387ms
Computing 1/F took 1509ms
Initializing table of differences for G took 115ms
Computing roots of G took 3780ms
Building G from its roots took 3773ms
Computing roots of G took 3782ms
Building G from its roots took 3775ms
Computing G * H took 786ms
Reducing  G * H mod F took 851ms
Computing roots of G took 3781ms
Building G from its roots took 3776ms
Computing G * H took 778ms
Reducing  G * H mod F took 855ms
Computing roots of G took 3783ms
Building G from its roots took 3772ms
Computing G * H took 779ms
Reducing  G * H mod F took 851ms
Computing roots of G took 3783ms
Building G from its roots took 3771ms
Computing G * H took 762ms
Reducing  G * H mod F took 856ms
Computing polyeval(F,G) took 7229ms
Computing product of all F(g_i) took 46ms
Step 2 took 61664ms
********** Factor found in step 2: 209582156390176944513315560830305046783547575721
Found prime factor of 48 digits: 209582156390176944513315560830305046783547575721
Prime cofactor 2229004507887017495277494517014211289278570514821740935024786498611429357659000992371241121884734538483417 has 106 digits
Peak memory usage: 298MB

GMP-ECM 7.0.5-dev

5656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565656565657<238>

696238225618693402292360410827819838775373107359897<51>

8124468678144038123385016189668327629325940210008176109092324437979361471463053886493692436686314271456538189126461166745812920413140900635753835623234469337596852329214307252055304462081<187>

Using B1=43000000, B2=582162027730, polynomial Dickson(30), sigma=2385380210
Step 1 took 329049ms
Step 2 took 175471ms
********** Factor found in step 2: 696238225618693402292360410827819838775373107359897
Found probable prime factor of 51 digits: 696238225618693402292360410827819838775373107359897
Composite cofactor 

40555071003333794436852990751064871896585577928286469554765074998147382387598167232416333744829206940018821132276052785215986303519468000176713954087400619005737832683370867521034592628129168383101485663836508787550789<218>

230047165583412990098211501367057181019039632226935321693517742123840876758675035619870284027933201797433837187119463350243660179252978670161991955301002031463946263255137185673042248616136009351649685006828677135029657999987<225>

65880017395934330614086129857959837821831391919397589227410347165402027183067365449322931358532228538513184795205372884171573269021552795717002883491950563977440074644653151620185735415378508135604475306995227<209>

1010803319857659059158901254545887349776037364347606547852429406096756863738872720791961787459891669475431879206315984183663711212593345716876135537916095410944823369609726973631833885541233741432340133712842833185036663521384271378227<235>

4278748553112495778614470263250855360739906375960699283963175565464366877012087204140240272937499158105125512707634458461039509170118318664584594215920922278236536682168816639666990447569412359059347066862469654648323788765496283550863<235>