181791465975635587992412793807105662316750630775438727050332004659049651356504844025655084873993<96>

40380789882314575582076582823527174033387<41>
4501929420039753122445770971488429125058342676534923739<55>

N=181791465975635587992412793807105662316750630775438727050332004659049651356504844025655084873993
  ( 96 digits)
SNFS difficulty: 107 digits.
Divisors found:
p41 factor: 40380789882314575582076582823527174033387
p55 factor: 4501929420039753122445770971488429125058342676534923739
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.32 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 181791465975635587992412793807105662316750630775438727050332004659049651356504844025655084873993
m: 100000000000000000000000000
deg: 4
c4: 2135
c0: -2
skew: 0.17
# Murphy_E = 1.302e-07
type: snfs
lss: 1
rlim: 430000
alim: 430000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 430000/430000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [215000, 395001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 40706 x 40931
Total sieving time: 0.31 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,107.000,4,0,0,0,0,0,0,0,0,430000,430000,25,25,44,44,2.2,2.2,20000
total time: 0.32 hours.
 --------- CPU info (if available) ----------

46020036672835920441690271106581621603543189626548659189263143745588817363990373<80>

2611926856180666729719023336217415517<37>
17619190431744892218409892019327196171104169<44>

46020036672835920441690271106581621603543189626548659189263143745588817363990373 = 2611926856180666729719023336217415517 * 17619190431744892218409892019327196171104169

Number of divisors: 4

Sum of divisors: 46020036672835920441690271106581621621162382670220407588339765483939349752510060

Euler's totient: 46020036672835920441690271106581621585923996582876910790186522007238284975470688

Möbius: 1

n = a^2 + b^2

a = 6652071636123904456223249813512992662182

b = 1330405810537431961362495155816993867807

Show divisors New!

Time elapsed: 0d 0h 5m 28.6s

Modular multiplications:

ECM: 78622512
Probable prime checking: 1345
SIQS: 112632
Sum of squares: 2929
SIQS:

570148 polynomials sieved
358630 sets of trial divisions
13683 smooth congruences found (1 out of every 3208129 values)
148150 partial congruences found (1 out of every 296299 values)
13916 useful partial congruences
Size of binary matrix: 25280 × 24554
Timings:

Probable prime test of 3 numbers: 0d 0h 0m 0.0s
Factoring 1 number using ECM: 0d 0h 0m 17.3s
Factoring 1 number using SIQS: 0d 0h 5m 11.3s

Dario Alpern's calculator, SIQS

Windows 10 Business 21H2
Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz   2.59 GHz

884948275843230263215975239168052635449114097043560316371594459045956106015812787175247<87>

28048678668135406016241835010386851638329<41>
31550444365444293207580154567374194581200639943<47>

prp41 = 28048678668135406016241835010386851638329
prp47 = 31550444365444293207580154567374194581200639943

Yafu

501392508842993922069281443677284785225625555741049647843483976766629392137728932819402207292148283820499<105>

87811682085249365190904829619165539717234814313<47>
5709861113424884479739005609455274724547773139330705820123<58>

N=501392508842993922069281443677284785225625555741049647843483976766629392137728932819402207292148283820499
  ( 105 digits)
SNFS difficulty: 114 digits.
Divisors found:
p47 factor: 87811682085249365190904829619165539717234814313
p58 factor: 5709861113424884479739005609455274724547773139330705820123
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.51 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 501392508842993922069281443677284785225625555741049647843483976766629392137728932819402207292148283820499
m: 10000000000000000000000000000
deg: 4
c4: 427
c0: -4
skew: 0.31
# Murphy_E = 6.876e-08
type: snfs
lss: 1
rlim: 570000
alim: 570000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 570000/570000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [285000, 585001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 65601 x 65826
Total sieving time: 0.50 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,114.000,4,0,0,0,0,0,0,0,0,570000,570000,25,25,45,45,2.2,2.2,20000
total time: 0.51 hours.
 --------- CPU info (if available) ----------

11861111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<119>

8890127729308811963914550961830177644346984468562296809421<58>
1334189054675515514058759476116058322706013676584715258577891<61>

N=11861111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
  ( 119 digits)
SNFS difficulty: 119 digits.
Divisors found:
 r1=8890127729308811963914550961830177644346984468562296809421 (pp58)
 r2=1334189054675515514058759476116058322706013676584715258577891 (pp61)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.83 hours.
Scaled time: 6.52 units (timescale=7.837).
Factorization parameters were as follows:
n: 11861111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
m: 100000000000000000000000000000
deg: 4
c4: 2135
c0: -2
skew: 0.17
# Murphy_E = 3.622e-08
type: snfs
lss: 1
rlim: 680000
alim: 680000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 680000/680000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [340000, 590001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 79735 x 79974
Total sieving time: 0.82 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,119.000,4,0,0,0,0,0,0,0,0,680000,680000,25,25,45,45,2.2,2.2,50000
total time: 0.83 hours.

GNFS, Msieve

1738500531484448196674162983244112020342817647661395142197943471942718565345389977019221545876301167897785614465887851<118>

56371671611256538809861419706289727911523<41>
30839967696421776916129603739476876786822011539129494895321710527785733800537<77>

N=1738500531484448196674162983244112020342817647661395142197943471942718565345389977019221545876301167897785614465887851
  ( 118 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=56371671611256538809861419706289727911523 (pp41)
 r2=30839967696421776916129603739476876786822011539129494895321710527785733800537 (pp77)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.25 hours.
Scaled time: 9.83 units (timescale=7.868).
Factorization parameters were as follows:
n: 1738500531484448196674162983244112020342817647661395142197943471942718565345389977019221545876301167897785614465887851
m: 1000000000000000000000000000000
deg: 4
c4: 10675
c0: -1
skew: 0.10
# Murphy_E = 2.618e-08
type: snfs
lss: 1
rlim: 820000
alim: 820000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 820000/820000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [410000, 785001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 80190 x 80417
Total sieving time: 1.24 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,124.000,4,0,0,0,0,0,0,0,0,820000,820000,25,25,46,46,2.2,2.2,75000
total time: 1.25 hours.

GNFS, Msieve

190243493850724350988998846955123921136720469487082154892955733413173225834620929813962357629254192039891432003321909813<120>

3398039299526121912841910531934735436598149<43>
55986254743214715113465270873901911915427796285935838330291390021622822826737<77>

N=190243493850724350988998846955123921136720469487082154892955733413173225834620929813962357629254192039891432003321909813
  ( 120 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=3398039299526121912841910531934735436598149 (pp43)
 r2=55986254743214715113465270873901911915427796285935838330291390021622822826737 (pp77)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.63 hours.
Scaled time: 12.81 units (timescale=7.862).
Factorization parameters were as follows:
n: 190243493850724350988998846955123921136720469487082154892955733413173225834620929813962357629254192039891432003321909813
m: 5000000000000000000000000000000
deg: 4
c4: 854
c0: -5
skew: 0.28
# Murphy_E = 1.931e-08
type: snfs
lss: 1
rlim: 870000
alim: 870000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3Factor base limits: 870000/870000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [435000, 810001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 106752 x 106980
Total sieving time: 1.61 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,125.000,4,0,0,0,0,0,0,0,0,870000,870000,26,26,46,46,2.3,2.3,75000
total time: 1.63 hours.

GNFS, Msieve

3183662059105666133327617175422300633530823708316824976409751566138415298130626754453167210490954321971676532693<112>

3782218957065153675374316365824868185303<40>
841744514330301206962309966650255337278400971155776109007455630729486131<72>

N=3183662059105666133327617175422300633530823708316824976409751566138415298130626754453167210490954321971676532693
  ( 112 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=3782218957065153675374316365824868185303 (pp40)
 r2=841744514330301206962309966650255337278400971155776109007455630729486131 (pp72)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.58 hours.
Scaled time: 11.89 units (timescale=7.536).
Factorization parameters were as follows:
n: 3183662059105666133327617175422300633530823708316824976409751566138415298130626754453167210490954321971676532693
m: 10000000000000000000000000000000
deg: 4
c4: 10675
c0: -1
skew: 0.10
# Murphy_E = 1.682e-08
type: snfs
lss: 1
rlim: 950000
alim: 950000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 950000/950000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [475000, 850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 142703 x 142951
Total sieving time: 1.56 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,128.000,4,0,0,0,0,0,0,0,0,950000,950000,26,26,47,47,2.3,2.3,75000
total time: 1.58 hours.

GNFS, Msieve

3084456676195874980174686502074835816396128750851124770503192579487504279984690620108527415306386319413511187043659<115>

55796542946573491729467210106659664342560429035987<50>
55280426229082241337090124665526648140703305462109919324025785257<65>

N=3084456676195874980174686502074835816396128750851124770503192579487504279984690620108527415306386319413511187043659
  ( 115 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=55796542946573491729467210106659664342560429035987 (pp50)
 r2=55280426229082241337090124665526648140703305462109919324025785257 (pp65)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.02 hours.
Scaled time: 15.86 units (timescale=7.868).
Factorization parameters were as follows:
n: 3084456676195874980174686502074835816396128750851124770503192579487504279984690620108527415306386319413511187043659
m: 50000000000000000000000000000000
deg: 4
c4: 854
c0: -5
skew: 0.28
# Murphy_E = 1.237e-08
type: snfs
lss: 1
rlim: 1020000
alim: 1020000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1020000/1020000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [510000, 1010001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 144227 x 144452
Total sieving time: 1.99 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,129.000,4,0,0,0,0,0,0,0,0,1020000,1020000,26,26,47,47,2.3,2.3,100000
total time: 2.02 hours.

GNFS, Msieve

61681720010620902762607134944245929942042153899864767484044903328259759471272552515939<86>

1491394642918947368788764346100812554117583<43>
41358415965540725895810387563841331889317933<44>

61681720010620902762607134944245929942042153899864767484044903328259759471272552515939=1491394642918947368788764346100812554117583*41358415965540725895810387563841331889317933
Fri Feb 25 15:02:18 2022  begin with 601939 relations
Fri Feb 25 15:02:18 2022  reduce to 133163 relations in 10 passes
Fri Feb 25 15:02:18 2022  attempting to read 133163 relations
Fri Feb 25 15:02:18 2022  recovered 133163 relations
Fri Feb 25 15:02:18 2022  recovered 112505 polynomials
Fri Feb 25 15:02:19 2022  attempting to build 55867 cycles
Fri Feb 25 15:02:19 2022  found 55867 cycles in 5 passes
Fri Feb 25 15:02:19 2022  distribution of cycle lengths:
Fri Feb 25 15:02:19 2022     length 1 : 15793
Fri Feb 25 15:02:19 2022     length 2 : 10995
Fri Feb 25 15:02:19 2022     length 3 : 9837
Fri Feb 25 15:02:19 2022     length 4 : 7191
Fri Feb 25 15:02:19 2022     length 5 : 5156
Fri Feb 25 15:02:19 2022     length 6 : 3117
Fri Feb 25 15:02:19 2022     length 7 : 1749
Fri Feb 25 15:02:19 2022     length 9+: 2029
Fri Feb 25 15:02:19 2022  largest cycle: 17 relations
Fri Feb 25 15:02:19 2022  matrix is 55552 x 55867 (13.0 MB) with weight 2952394 (52.85/col)
Fri Feb 25 15:02:19 2022  sparse part has weight 2952394 (52.85/col)
Fri Feb 25 15:02:19 2022  filtering completed in 3 passes
Fri Feb 25 15:02:19 2022  matrix is 50890 x 50951 (11.9 MB) with weight 2709266 (53.17/col)
Fri Feb 25 15:02:19 2022  sparse part has weight 2709266 (53.17/col)
Fri Feb 25 15:02:19 2022  saving the first 48 matrix rows for later
Fri Feb 25 15:02:19 2022  matrix includes 64 packed rows
Fri Feb 25 15:02:19 2022  matrix is 50842 x 50951 (6.8 MB) with weight 1992649 (39.11/col)
Fri Feb 25 15:02:19 2022  sparse part has weight 1283124 (25.18/col)
Fri Feb 25 15:02:19 2022  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Fri Feb 25 15:02:19 2022  commencing Lanczos iteration
Fri Feb 25 15:02:19 2022  memory use: 4.3 MB
Fri Feb 25 15:02:22 2022  lanczos halted after 806 iterations (dim = 50841)
Fri Feb 25 15:02:22 2022  recovered 17 nontrivial dependencies
Fri Feb 25 15:02:23 2022  p43 factor: 1491394642918947368788764346100812554117583
Fri Feb 25 15:02:23 2022  p44 factor: 41358415965540725895810387563841331889317933
Fri Feb 25 15:02:23 2022  elapsed time 00:11:13

Msieve 1.53

Windows 10 Business
Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz   2.59 GHz

617698527813145848156851431906428912373272914125135793327241497843510097569013582600289465086198886903189948432469<114>

124246629897677596673001087811502392966448605927938037<54>
4971551569019191530289452658484074018525759577594406394522337<61>

N=617698527813145848156851431906428912373272914125135793327241497843510097569013582600289465086198886903189948432469
  ( 114 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=124246629897677596673001087811502392966448605927938037 (pp54)
 r2=4971551569019191530289452658484074018525759577594406394522337 (pp61)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.38 hours.
Scaled time: 18.74 units (timescale=7.874).
Factorization parameters were as follows:
n: 617698527813145848156851431906428912373272914125135793327241497843510097569013582600289465086198886903189948432469
m: 100000000000000000000000000000000
deg: 4
c4: 10675
c0: -1
skew: 0.10
# Murphy_E = 1.075e-08
type: snfs
lss: 1
rlim: 1110000
alim: 1110000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1110000/1110000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [555000, 1155001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 148377 x 148602
Total sieving time: 2.36 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,132.000,4,0,0,0,0,0,0,0,0,1110000,1110000,26,26,47,47,2.3,2.3,100000
total time: 2.38 hours.

GNFS, Msieve

892712815560646293604111750493888107714461691849740539176885833957078292359698443418479090952787667673502238055291<114>

1070156443979305193768940904394884303<37>
834189076357054272804422928791684664824029795292417533063850261305662601429397<78>

N=892712815560646293604111750493888107714461691849740539176885833957078292359698443418479090952787667673502238055291
  ( 114 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=1070156443979305193768940904394884303 (pp37)
 r2=834189076357054272804422928791684664824029795292417533063850261305662601429397 (pp78)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.83 hours.
Scaled time: 45.68 units (timescale=7.831).
Factorization parameters were as follows:
n: 892712815560646293604111750493888107714461691849740539176885833957078292359698443418479090952787667673502238055291
m: 10000000000000000000000000000000000
deg: 4
c4: 2135
c0: -2
skew: 0.17
# Murphy_E = 3.877e-09
type: snfs
lss: 1
rlim: 1470000
alim: 1470000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1470000/1470000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [735000, 1335001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 209177 x 209403
Total sieving time: 5.80 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,139.000,4,0,0,0,0,0,0,0,0,1470000,1470000,26,26,48,48,2.3,2.3,100000
total time: 5.83 hours.

GNFS, Msieve

2511112157729234939265537762201402300070713340496669347310493907097164782515488379464079198438319289049268577462559499892009<124>

7073699503025523226209052256367748520026762433<46>
354992766748883816499496087856654195877426250137472211837457552291802403936873<78>

N=2511112157729234939265537762201402300070713340496669347310493907097164782515488379464079198438319289049268577462559499892009
  ( 124 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=7073699503025523226209052256367748520026762433 (pp46)
 r2=354992766748883816499496087856654195877426250137472211837457552291802403936873 (pp78)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.61 hours.
Scaled time: 68.06 units (timescale=7.905).
Factorization parameters were as follows:
n: 2511112157729234939265537762201402300070713340496669347310493907097164782515488379464079198438319289049268577462559499892009
m: 500000000000000000000000000000000000
deg: 4
c4: 854
c0: -5
skew: 0.28
# Murphy_E = 1.989e-09
type: snfs
lss: 1
rlim: 1880000
alim: 1880000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1880000/1880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [940000, 1840001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 293597 x 293822
Total sieving time: 8.56 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,145.000,4,0,0,0,0,0,0,0,0,1880000,1880000,26,26,49,49,2.3,2.3,100000
total time: 8.61 hours.

GNFS, Msieve

57586595674666752979128567806530616648594994956115507652139200422931063315585333354911448808618299320828815415405695543579701466772399432495563<143>

137960516489675855991336507988998818581073159107849<51>
417413598759440648251672164453442699473272389267125646559713533554334032621972289530336942387<93>

Sun Feb 27 19:16:19 2022  Msieve v. 1.53 (SVN unknown)
Sun Feb 27 19:16:19 2022  random seeds: 5731b798 36e0eac1
Sun Feb 27 19:16:19 2022  factoring 57586595674666752979128567806530616648594994956115507652139200422931063315585333354911448808618299320828815415405695543579701466772399432495563 (143 digits)
Sun Feb 27 19:16:20 2022  searching for 15-digit factors
Sun Feb 27 19:16:21 2022  commencing number field sieve (143-digit input)
Sun Feb 27 19:16:21 2022  R0: -1000000000000000000000000000000000000
Sun Feb 27 19:16:21 2022  R1: 1
Sun Feb 27 19:16:21 2022  A0: -1
Sun Feb 27 19:16:21 2022  A1: 0
Sun Feb 27 19:16:21 2022  A2: 0
Sun Feb 27 19:16:21 2022  A3: 0
Sun Feb 27 19:16:21 2022  A4: 10675
Sun Feb 27 19:16:21 2022  skew 0.10, size 2.036e-15, alpha -0.126, combined = 1.711e-09 rroots = 2
Sun Feb 27 19:16:21 2022  
Sun Feb 27 19:16:21 2022  commencing square root phase
Sun Feb 27 19:16:21 2022  reading relations for dependency 1
Sun Feb 27 19:16:21 2022  read 131709 cycles
Sun Feb 27 19:16:21 2022  cycles contain 360582 unique relations
Sun Feb 27 19:16:26 2022  read 360582 relations
Sun Feb 27 19:16:28 2022  multiplying 360582 relations
Sun Feb 27 19:16:36 2022  multiply complete, coefficients have about 11.96 million bits
Sun Feb 27 19:16:36 2022  initial square root is modulo 7434997
Sun Feb 27 19:16:47 2022  sqrtTime: 26
Sun Feb 27 19:16:47 2022  p51 factor: 137960516489675855991336507988998818581073159107849
Sun Feb 27 19:16:47 2022  p93 factor: 417413598759440648251672164453442699473272389267125646559713533554334032621972289530336942387
Sun Feb 27 19:16:47 2022  elapsed time 00:00:28

503973707932741702704813003703045633743104325090234762599464137072558569180934397354748505137726111219998226204083799<117>

98506337762659095545918006494570950451991<41>
5116155156909950250848187814748860790972856455753547485581360322483613482689<76>

N=503973707932741702704813003703045633743104325090234762599464137072558569180934397354748505137726111219998226204083799
  ( 117 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=98506337762659095545918006494570950451991 (pp41)
 r2=5116155156909950250848187814748860790972856455753547485581360322483613482689 (pp76)
Version: Msieve v. 1.52 (SVN 927)
Total time: 10.36 hours.
Scaled time: 81.54 units (timescale=7.874).
Factorization parameters were as follows:
n: 503973707932741702704813003703045633743104325090234762599464137072558569180934397354748505137726111219998226204083799
m: 500000000000000000000000000000
deg: 5
c5: 1708
c0: -5
skew: 0.31
# Murphy_E = 1.028e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1200000, 2100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 378358 x 378583
Total sieving time: 10.28 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,151.000,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 10.36 hours.

GNFS, Msieve

13595299919732225320149582355813599704984357651127522459246378507482984005595489309359159589408392455533140769495875051356638461193<131>

2631354593107136645896090326128367288037685571371<49>
5166654450656429371547700562447617062629137214879341401064489302492911527194659483<82>

N=13595299919732225320149582355813599704984357651127522459246378507482984005595489309359159589408392455533140769495875051356638461193
  ( 131 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=2631354593107136645896090326128367288037685571371 (pp49)
 r2=5166654450656429371547700562447617062629137214879341401064489302492911527194659483 (pp82)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.94 hours.
Scaled time: 78.35 units (timescale=7.880).
Factorization parameters were as follows:
n: 13595299919732225320149582355813599704984357651127522459246378507482984005595489309359159589408392455533140769495875051356638461193
m: 1000000000000000000000000000000
deg: 5
c5: 427
c0: -4
skew: 0.39
# Murphy_E = 1.124e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1200000, 2000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 387629 x 387855
Total sieving time: 9.87 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,152.000,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
total time: 9.94 hours.

GNFS, Msieve

436382364403959356224162949945980109031702294633844549597645584226755274298838158394067967152057548764794148757033406321392171334122328380833<141>

525229714352412113972437852006933717808569882088886484201<57>
830840968207600178239754999828839852575574637473691798767824698801772731105937162233<84>

N=436382364403959356224162949945980109031702294633844549597645584226755274298838158394067967152057548764794148757033406321392171334122328380833
  ( 141 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=525229714352412113972437852006933717808569882088886484201 (pp57)
 r2=830840968207600178239754999828839852575574637473691798767824698801772731105937162233 (pp84)
Version: Msieve v. 1.52 (SVN 927)
Total time: 12.87 hours.
Scaled time: 101.13 units (timescale=7.855).
Factorization parameters were as follows:
n: 436382364403959356224162949945980109031702294633844549597645584226755274298838158394067967152057548764794148757033406321392171334122328380833
m: 1000000000000000000000000000000
deg: 5
c5: 2135
c0: -2
skew: 0.25
# Murphy_E = 8.177e-10
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 2350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 466652 x 466878
Total sieving time: 12.78 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 12.87 hours.

GNFS, Msieve

874132424790533816929840980833538250081801955093939925994280029911412971137243076004906091986148377098122988212514657417742482637231740073<138>

6972251075028966761727023713042301<34>
125373056045160015338144150344022021413105490739914248413810210420585026353978296426580435224974904822173<105>

N=874132424790533816929840980833538250081801955093939925994280029911412971137243076004906091986148377098122988212514657417742482637231740073
  ( 138 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=6972251075028966761727023713042301 (pp34)
 r2=125373056045160015338144150344022021413105490739914248413810210420585026353978296426580435224974904822173 (pp105)
Version: Msieve v. 1.52 (SVN 927)
Total time: 12.11 hours.
Scaled time: 95.89 units (timescale=7.918).
Factorization parameters were as follows:
n: 874132424790533816929840980833538250081801955093939925994280029911412971137243076004906091986148377098122988212514657417742482637231740073
m: 1000000000000000000000000000000
deg: 5
c5: 106750
c0: -1
skew: 0.10
# Murphy_E = 7.482e-10
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1350000, 2350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 469627 x 469854
Total sieving time: 12.02 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,155.000,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 12.11 hours.

GNFS, Msieve

17753496648871592742270784480034592293236208817708593191305360142360591395167057493056594987443662791664587802890452194448602171996873388880573433784031<152>

38801774725322517932434621502372056250933962213<47>
457543418427339132101013200832899846187181778451491239846239117756786052935301328237016021538989271305587<105>

N=17753496648871592742270784480034592293236208817708593191305360142360591395167057493056594987443662791664587802890452194448602171996873388880573433784031
  ( 152 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=38801774725322517932434621502372056250933962213 (pp47)
 r2=457543418427339132101013200832899846187181778451491239846239117756786052935301328237016021538989271305587 (pp105)
Version: Msieve v. 1.52 (SVN 927)
Total time: 20.31 hours.
Scaled time: 160.81 units (timescale=7.918).
Factorization parameters were as follows:
n: 17753496648871592742270784480034592293236208817708593191305360142360591395167057493056594987443662791664587802890452194448602171996873388880573433784031
m: 100000000000000000000000000000000000000
deg: 4
c4: 10675
c0: -1
skew: 0.10
# Murphy_E = 6.647e-10
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 3300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 528883 x 529109
Total sieving time: 20.20 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,156.000,4,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 20.31 hours.

GNFS, Msieve

509835229104001715978509007989318068645879932457289834118846229304202065640082335382891486875184987918383348463539077787982046886277217823<138>

25812149787015188064977071243829382987174304252183604507<56>
19751753856646009593277708142479323038688525208422905677864277361825945441022138189<83>

N=509835229104001715978509007989318068645879932457289834118846229304202065640082335382891486875184987918383348463539077787982046886277217823
  ( 138 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=25812149787015188064977071243829382987174304252183604507 (pp56)
 r2=19751753856646009593277708142479323038688525208422905677864277361825945441022138189 (pp83)
Version: Msieve v. 1.52 (SVN 927)
Total time: 13.18 hours.
Scaled time: 103.82 units (timescale=7.874).
Factorization parameters were as follows:
n: 509835229104001715978509007989318068645879932457289834118846229304202065640082335382891486875184987918383348463539077787982046886277217823
m: 10000000000000000000000000000000
deg: 5
c5: 427
c0: -4
skew: 0.39
# Murphy_E = 7.231e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 526347 x 526574
Total sieving time: 13.04 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,157.000,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 13.18 hours.

GNFS, Msieve

1758822409278806450964255048726256455746387732591215183166101929213158495321169266573744393083549704353999492078482893485986403531991919314367082477<148>

4845270559947021609727888615785374413<37>
362997770200481330500116045647053823239016926017134177604814041700872910042609699760186435421868808685546586529<111>

N=1758822409278806450964255048726256455746387732591215183166101929213158495321169266573744393083549704353999492078482893485986403531991919314367082477
  ( 148 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=4845270559947021609727888615785374413 (pp37)
 r2=362997770200481330500116045647053823239016926017134177604814041700872910042609699760186435421868808685546586529 (pp111)
Version: Msieve v. 1.52 (SVN 927)
Total time: 18.10 hours.
Scaled time: 140.06 units (timescale=7.740).
Factorization parameters were as follows:
n: 1758822409278806450964255048726256455746387732591215183166101929213158495321169266573744393083549704353999492078482893485986403531991919314367082477
m: 10000000000000000000000000000000
deg: 5
c5: 2135
c0: -2
skew: 0.25
# Murphy_E = 5.258e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 3100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 578145 x 578370
Total sieving time: 17.96 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,158.000,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 18.10 hours.

GNFS, Msieve

3104836192022671075318234191868512031784292556215249972835641212055933429279454437116648593325729063216488161859239984271735882749709<133>

721888581818007040435176349708539638464015129<45>
4300990859563728535204192984772890745132673833150526481530701039304797933649924860608021<88>

N=3104836192022671075318234191868512031784292556215249972835641212055933429279454437116648593325729063216488161859239984271735882749709
  ( 133 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=721888581818007040435176349708539638464015129 (pp45)
 r2=4300990859563728535204192984772890745132673833150526481530701039304797933649924860608021 (pp88)
Version: Msieve v. 1.52 (SVN 927)
Total time: 16.67 hours.
Scaled time: 130.31 units (timescale=7.819).
Factorization parameters were as follows:
n: 3104836192022671075318234191868512031784292556215249972835641212055933429279454437116648593325729063216488161859239984271735882749709
m: 10000000000000000000000000000000
deg: 5
c5: 10675
c0: -1
skew: 0.16
# Murphy_E = 5.491e-10
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1550000, 2950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 536877 x 537103
Total sieving time: 16.55 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,159.000,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 16.67 hours.

GNFS, Msieve

4384358467922518385665482241634452421915900363930774017722463274714330968992188664169766740126879332459304304814231275129651358157<130>

35632561045755374800117697587729909481<38>
123043596621994487162223019094393158887663317948353008981874110278975873703642540978005558597<93>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2658164774
Step 1 took 4828ms
Step 2 took 2907ms
********** Factor found in step 2: 35632561045755374800117697587729909481
Found prime factor of 38 digits: 35632561045755374800117697587729909481
Prime cofactor 123043596621994487162223019094393158887663317948353008981874110278975873703642540978005558597 has 93 digits

GMP-ECM

3351543122664908480110514583529559511475306897742614046654736115035634673950582399296725377539166745157137923456092430378951995227779347587202913566293052023484349<163>

1128773479505741023160042377482535234931<40>
2969190172799291295328403065450299815018817588934457629327626306165504496268402514538273659297834758709284590487964532580879<124>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3546192215
Step 1 took 7156ms
Step 2 took 3766ms
********** Factor found in step 2: 1128773479505741023160042377482535234931
Found prime factor of 40 digits: 1128773479505741023160042377482535234931
Prime cofactor 2969190172799291295328403065450299815018817588934457629327626306165504496268402514538273659297834758709284590487964532580879 has 124 digits
 

GMP-ECM

61319662088002662193888034845001690333780640873217563346978716392708589780951409829439853301803764465473826236665154202109961833457<131>

14411783015716717324068344919805156444277616221766432385746004103<65>
4254828290235200508765109985072536597153026102925528551363338968519<67>

N=61319662088002662193888034845001690333780640873217563346978716392708589780951409829439853301803764465473826236665154202109961833457
  ( 131 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=14411783015716717324068344919805156444277616221766432385746004103 (pp65)
 r2=4254828290235200508765109985072536597153026102925528551363338968519 (pp67)
Version: Msieve v. 1.52 (SVN 927)
Total time: 38.59 hours.
Scaled time: 304.07 units (timescale=7.880).
Factorization parameters were as follows:
n: 61319662088002662193888034845001690333780640873217563346978716392708589780951409829439853301803764465473826236665154202109961833457
m: 1000000000000000000000000000000000
deg: 5
c5: 2135
c0: -2
skew: 0.25
# Murphy_E = 2.142e-10
type: snfs
lss: 1
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2250000, 5350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 979639 x 979866
Total sieving time: 38.33 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,168.000,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,52,52,2.4,2.4,100000
total time: 38.59 hours.

GNFS, Msieve

190040062893258746573942680923495399180484702035465551725832425411503144707007040705776859021963880019655510267075233119611432008159405758424731749938588500269<159>

869264533935307195107615656116333261722242940652283891746278534909794602305491<78>
218621668633960390621581465027779396989680281378174654879573732167229509521519359<81>

Sat Mar 05 18:17:27 2022 -> factmsieve.py (v0.86)
Sat Mar  5 22:00:10 2022  Msieve v. 1.53 (SVN 998)
Sat Mar  5 22:00:10 2022  random seeds: 02a76f54 607ab8ad
Sat Mar  5 22:00:10 2022  factoring 190040062893258746573942680923495399180484702035465551725832425411503144707007040705776859021963880019655510267075233119611432008159405758424731749938588500269 (159 digits)
Sat Mar  5 22:00:11 2022  searching for 15-digit factors
Sat Mar  5 22:00:11 2022  commencing number field sieve (159-digit input)
Sat Mar  5 22:00:11 2022  R0: -1000000000000000000000000000000000
Sat Mar  5 22:00:11 2022  R1: 1
Sat Mar  5 22:00:11 2022  A0: -1
Sat Mar  5 22:00:11 2022  A1: 0
Sat Mar  5 22:00:11 2022  A2: 0
Sat Mar  5 22:00:11 2022  A3: 0
Sat Mar  5 22:00:11 2022  A4: 0
Sat Mar  5 22:00:11 2022  A5: 10675
Sat Mar  5 22:00:11 2022  skew 0.16, size 5.110e-12, alpha 0.815, combined = 2.235e-10 rroots = 1
Sat Mar  5 22:17:30 2022  p78 factor: 869264533935307195107615656116333261722242940652283891746278534909794602305491
Sat Mar  5 22:17:30 2022  p81 factor: 218621668633960390621581465027779396989680281378174654879573732167229509521519359

62218002090324931135333541760319968159031324585167440445224486056238982895617340052720689090385552077120361721208328791721<122>

27204573391752309583532191851429349499029<41>
2287042005561746671854243278386319245554919025226025599002420159925445051564311749<82>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 62218002090324931135333541760319968159031324585167440445224486056238982895617340052720689090385552077120361721208328791721 (122 digits)

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4106829066
Step 1 took 9859ms
Step 2 took 5344ms
********** Factor found in step 2: 27204573391752309583532191851429349499029
Found prime factor of 41 digits: 27204573391752309583532191851429349499029
Prime cofactor 2287042005561746671854243278386319245554919025226025599002420159925445051564311749 has 82 digits

1374627482873567699167976422677860175202588896267580167215661978352515773747349394676574729172599536347872216437133043595855414824477512431664161232629017606843037<163>

2672921332520966637239959867332501308387940007<46>
514279064688030805178422371847505071573807649962603052726208891590677716091507950325947492004747194825369039328043291<117>

Number: n
N=1374627482873567699167976422677860175202588896267580167215661978352515773747349394676574729172599536347872216437133043595855414824477512431664161232629017606843037  ( 163 digits)
SNFS difficulty: 171 digits.
Divisors found:

Mon Feb 28 19:20:33 2022  p46 factor: 2672921332520966637239959867332501308387940007
Mon Feb 28 19:20:33 2022  p117 factor: 514279064688030805178422371847505071573807649962603052726208891590677716091507950325947492004747194825369039328043291
Mon Feb 28 19:20:33 2022  elapsed time 00:16:16 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.308).
Factorization parameters were as follows:
#
# N = 427x10^169-4 = 474(169)
#
n: 1374627482873567699167976422677860175202588896267580167215661978352515773747349394676574729172599536347872216437133043595855414824477512431664161232629017606843037
m: 5000000000000000000000000000000000
deg: 5
c5: 1708
c0: -5
skew: 0.31
# Murphy_E = 1.717e-10
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3533722 hash collisions in 23631280 relations (20850468 unique)
Msieve: matrix is 943854 x 944098 (180.4 MB)

Sieving start time : 2022/02/28 18:41:49
Sieving end time  : 2022/02/28 19:03:49

Total sieving time: 0hrs 22min 0secs.

Total relation processing time: 0hrs 8min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 46sec.

Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117462] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154119] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798724)
[    0.152036] smpboot: Total of 16 processors activated (102389.79 BogoMIPS)

1186111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<175>

20240610934661305494861298352953862312635718176991463066501281426383<68>
58600558794395837161662748989312945958381477532805083700839798721019508876301425356535639506643637274542217<107>

Number: n
N=1186111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111  ( 175 digits)
SNFS difficulty: 175 digits.
Divisors found:

Mon Feb 28 12:40:41 2022  p68 factor: 20240610934661305494861298352953862312635718176991463066501281426383
Mon Feb 28 12:40:41 2022  p107 factor: 58600558794395837161662748989312945958381477532805083700839798721019508876301425356535639506643637274542217
Mon Feb 28 12:40:41 2022  elapsed time 00:25:41 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.324).
Factorization parameters were as follows:
#
# N = 427x10^173-4 = 474(173)
#
n: 1186111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
m: 10000000000000000000000000000000000
deg: 5
c5: 106750
c0: -1
skew: 0.10
# Murphy_E = 1.237e-10
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6096054 hash collisions in 38286782 relations (33238827 unique)
Msieve: matrix is 1253453 x 1253689 (182.5 MB)

Sieving start time : 2022/02/28 10:30:51
Sieving end time  : 2022/02/28 12:14:23

Total sieving time: 1hrs 43min 32secs.

Total relation processing time: 0hrs 14min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 1sec.

Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117462] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154119] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798724)
[    0.152036] smpboot: Total of 16 processors activated (102389.79 BogoMIPS)

30986430568573482016707734660079696190212243787956566189744456030992015644320295465244955211806031829768666261072298224159955323425630746464188734687669787354181<161>

184396848832695921966137386825337777<36>

168042082957109574994618317484195565957275504815976700066076277560650530667350684197530992564219421037425665916082855234276053<126>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:668018592
Step 1 took 4937ms
Step 2 took 2860ms
********** Factor found in step 2: 184396848832695921966137386825337777
Found prime factor of 36 digits: 184396848832695921966137386825337777
Composite cofactor 168042082957109574994618317484195565957275504815976700066076277560650530667350684197530992564219421037425665916082855234276053 has 126 digits
 

GMP-ECM

168042082957109574994618317484195565957275504815976700066076277560650530667350684197530992564219421037425665916082855234276053<126>

37784489981110729703300234302734998261170130358893180587705687<62>
4447382591140369682679473537358462746781828238864542096029764019<64>

168042082957109574994618317484195565957275504815976700066076277560650530667350684197530992564219421037425665916082855234276053=37784489981110729703300234302734998261170130358893180587705687*4447382591140369682679473537358462746781828238864542096029764019

cado polynomial
n: 168042082957109574994618317484195565957275504815976700066076277560650530667350684197530992564219421037425665916082855234276053
skew: 51826.26
c0: 26872078260785358133504734840
c1: -6727757611456259586777233
c2: -82514914331552549218
c3: 3339396867291703
c4: 42402047328
c5: -205440
Y0: -1672596044468685810771457
Y1: 1908389293249639
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.416e-07
# f(x) = -205440*x^5+42402047328*x^4+3339396867291703*x^3-82514914331552549218*x^2-6727757611456259586777233*x+26872078260785358133504734840
# g(x) = 1908389293249639*x-1672596044468685810771457

cado parameters (extracts)
tasks.lim0 = 2377918
tasks.lim1 = 9209388
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 57
tasks.sieve.mfb1 = 53
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 4447382591140369682679473537358462746781828238864542096029764019 37784489981110729703300234302734998261170130358893180587705687
Info:Square Root: Total cpu/real time for sqrt: 301.82/89.218
Info:Filtering - Singleton removal: Total cpu/real time for purge: 95.03/108.708
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11915332
Info:Lattice Sieving: Average J: 3792.85 for 217517 special-q, max bucket fill -bkmult 1.0,1s:1.160270
Info:Lattice Sieving: Total time: 63901.5s
Info:Generate Factor Base: Total cpu/real time for makefb: 8.56/2.29023
Info:Linear Algebra: Total cpu/real time for bwc: 9379.73/2416.52
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 5892.89, WCT time 1510.57, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (24832 iterations)
Info:Linear Algebra: Lingen CPU time 144.72, WCT time 36.81
Info:Linear Algebra: Mksol: CPU time 3219.17,  WCT time 824.27, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12544 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 127.22/32.3998
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 51.49/57.6229
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 57.300000000000004s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2644.49
Info:Polynomial Selection (root optimized): Rootsieve time: 2642.09
Info:Filtering - Merging: Merged matrix has 792079 rows and total weight 135242134 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 163.96/47.4747
Info:Filtering - Merging: Total cpu/real time for replay: 29.41/24.4041
Info:Quadratic Characters: Total cpu/real time for characters: 29.71/11.7365
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20315/35.950/44.611/48.480/0.876
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16114/35.950/40.014/45.400/0.990
Info:Polynomial Selection (size optimized): Total time: 1954.27
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 162.36/152.364
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 127.9s
Info:Square Root: Total cpu/real time for sqrt: 301.82/89.218
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 133914/36197.7
Info:root: Cleaning up computation data in /tmp/cado.pusd86pb
4447382591140369682679473537358462746781828238864542096029764019 37784489981110729703300234302734998261170130358893180587705687

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-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)

801271241311011740674161434425148022176825247766246627963600672045331772737835808233079575998773<96>

1354046717863958047881579316128104944468411<43>
591760410287051840168493742888247819390906287626056143<54>

prp54 = 591760410287051840168493742888247819390906287626056143
prp43 = 1354046717863958047881579316128104944468411

Yafu

24031016241357415371225852206989877277244530670448538908536346185711240273607727012158577393633094441414495748658568615922363106433465508160740067736193234729<158>

22466408360474430373206922953826031571884698794304825489644039498311959<71>
1069642101032741339792643720327050809494342463654760065585692513235944971193422102596031<88>

Number: n
N=24031016241357415371225852206989877277244530670448538908536346185711240273607727012158577393633094441414495748658568615922363106433465508160740067736193234729  ( 158 digits)
SNFS difficulty: 178 digits.
Divisors found:

Tue Mar  8 21:21:56 2022  p71 factor: 22466408360474430373206922953826031571884698794304825489644039498311959
Tue Mar  8 21:21:56 2022  p88 factor: 1069642101032741339792643720327050809494342463654760065585692513235944971193422102596031
Tue Mar  8 21:21:56 2022  elapsed time 00:27:24 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.318).
Factorization parameters were as follows:
#
# N = 427x10^176-4 = 474(176)
#
n: 24031016241357415371225852206989877277244530670448538908536346185711240273607727012158577393633094441414495748658568615922363106433465508160740067736193234729
m: 100000000000000000000000000000000000
deg: 5
c5: 2135
c0: -2
skew: 0.25
# Murphy_E = 8.559e-11
type: snfs
lss: 1
rlim: 6600000
alim: 6600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 23300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6416377 hash collisions in 38707164 relations (33272089 unique)
Msieve: matrix is 1028828 x 1029053 (341.7 MB)

Sieving start time : 2022/03/08 17:58:20
Sieving end time  : 2022/03/08 20:53:57

Total sieving time: 2hrs 55min 37secs.

Total relation processing time: 0hrs 16min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 4sec.

Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116350] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798496)
[    0.152039] smpboot: Total of 16 processors activated (102387.96 BogoMIPS)

196066969751116768055498331956636234948092856065726391717446724295596820741451707057153927137263336298922901940804084278681452194984000603<138>

364896063177373631630105388444044210774291594583445675418984238187<66>
537322787327003508694192054468094438944275788092974747911677100015881169<72>

196066969751116768055498331956636234948092856065726391717446724295596820741451707057153927137263336298922901940804084278681452194984000603=364896063177373631630105388444044210774291594583445675418984238187*537322787327003508694192054468094438944275788092974747911677100015881169

cado polynomial
n: 196066969751116768055498331956636234948092856065726391717446724295596820741451707057153927137263336298922901940804084278681452194984000603
skew: 0.16
type: snfs
c0: -1
c5: 10675
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 10675*x^5-1
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6700000
tasks.lim1 = 6700000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
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: 537322787327003508694192054468094438944275788092974747911677100015881169 364896063177373631630105388444044210774291594583445675418984238187
Info:Square Root: Total cpu/real time for sqrt: 300.68/94.5884
Info:Filtering - Singleton removal: Total cpu/real time for purge: 111.41/116.118
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22407451
Info:Lattice Sieving: Average J: 1894.24 for 1086171 special-q, max bucket fill -bkmult 1.0,1s:1.182420
Info:Lattice Sieving: Total time: 171832s
Info:Linear Algebra: Total cpu/real time for bwc: 20234.9/5191.03
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 12844.27, WCT time 3283.19, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (35584 iterations)
Info:Linear Algebra: Lingen CPU time 224.98, WCT time 57.06
Info:Linear Algebra: Mksol: CPU time 6975.35,  WCT time 1780.37, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (17920 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 119.26/32.4404
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 91/104.959
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 104.9s
Info:Filtering - Merging: Merged matrix has 1133224 rows and total weight 193811763 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 273/76.1064
Info:Filtering - Merging: Total cpu/real time for replay: 40.31/34.5054
Info:Generate Factor Base: Total cpu/real time for makefb: 2.93/1.58018
Info:Quadratic Characters: Total cpu/real time for characters: 38.14/15.0741
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 213.51/180.337
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 163.8s
Info:Square Root: Total cpu/real time for sqrt: 300.68/94.5884
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 340885/92158.8
Info:root: Cleaning up computation data in /tmp/cado.2ddedxwv
537322787327003508694192054468094438944275788092974747911677100015881169 364896063177373631630105388444044210774291594583445675418984238187

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

3113747316186315825681478620086861055146742409724232388083132325342663927525624971437983509701043016229740455582938422541620222002728322338323477<145>

19495549645232069772209103532601156682907018721<47>
159715800418472921503525476340866716504210237411385054293498851554732378591036905305157156322374837<99>

Number: n
N=3113747316186315825681478620086861055146742409724232388083132325342663927525624971437983509701043016229740455582938422541620222002728322338323477  ( 145 digits)
SNFS difficulty: 181 digits.
Divisors found:

Sat Apr 30 22:45:06 2022  p47 factor: 19495549645232069772209103532601156682907018721
Sat Apr 30 22:45:06 2022  p99 factor: 159715800418472921503525476340866716504210237411385054293498851554732378591036905305157156322374837
Sat Apr 30 22:45:06 2022  elapsed time 00:21:55 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 27x10^179-4 = 474(179)
#
n: 3113747316186315825681478620086861055146742409724232388083132325342663927525624971437983509701043016229740455582938422541620222002728322338323477
m: 500000000000000000000000000000000000
deg: 5
c5: 1708
c0: -5
skew: 0.31
# Murphy_E = 6.822e-11
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  special-q in [100000, 16550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3075754 hash collisions in 30026136 relations (28152648 unique)
Msieve: matrix is 941147 x 941372 (320.4 MB)

Sieving start time : 2022/04/30 18:55:07
Sieving end time  : 2022/04/30 22:22:40

Total sieving time: 3hrs 27min 33secs.

Total relation processing time: 0hrs 13min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 2sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7500000,7500000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

466549392203229435691433463144984081875275792253345669531408431972888959401759149562127315355459190351296312216021<114>

5101990593802129907132851770914827<34>
3375612738817184845679867494570945517<37>
27089772462792827757782349057428966901250619<44>

prp37 = 3375612738817184845679867494570945517
prp44 = 27089772462792827757782349057428966901250619
prp34 = 5101990593802129907132851770914827

GNFS, Yafu

81017367027761254643618631506908686769556837225908787585625486899216827815506048498660205949421448286249332880971012458776937162675325830609670707<146>

11891019211785080635162692794952055354026649898653386833179<59>
6813324037645627673906426379677814031572005565704919399734973915967561358674184569260233<88>

Number: n
N=81017367027761254643618631506908686769556837225908787585625486899216827815506048498660205949421448286249332880971012458776937162675325830609670707  ( 146 digits)
SNFS difficulty: 184 digits.
Divisors found:

Sat Apr 30 18:17:15 2022  p59 factor: 11891019211785080635162692794952055354026649898653386833179
Sat Apr 30 18:17:15 2022  p88 factor: 6813324037645627673906426379677814031572005565704919399734973915967561358674184569260233
Sat Apr 30 18:17:15 2022  elapsed time 00:26:07 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 427x10^182-4 = 474(182)
#
n: 81017367027761254643618631506908686769556837225908787585625486899216827815506048498660205949421448286249332880971012458776937162675325830609670707
m: 1000000000000000000000000000000000000
deg: 5
c5: 10675
c0: -1
skew: 0.16
# Murphy_E = 5.6e-11
type: snfs
lss: 1
rlim: 8200000
alim: 8200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8200000/8200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 16900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3205511 hash collisions in 28776412 relations (27275826 unique)
Msieve: matrix is 1033752 x 1033979 (357.8 MB)

Sieving start time : 2022/04/30 14:20:31
Sieving end time  : 2022/04/30 17:50:20

Total sieving time: 3hrs 29min 49secs.

Total relation processing time: 0hrs 17min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 25sec.

Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,8200000,8200000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

1547841721402989835718532051560891440834022068525526701175924717618571200719184537532443052474371801006278365015152174228254092537010454275233082488726492380413821102846288804790697<181>

3300273896512077917895099421038390930369865179451097642930845103908611761796089<79>
469004019041825380108742510602840270854448872433164601400086066025265534977495167559412545138435245873<102>

Number: n
N=1547841721402989835718532051560891440834022068525526701175924717618571200719184537532443052474371801006278365015152174228254092537010454275233082488726492380413821102846288804790697  ( 181 digits)
SNFS difficulty: 185 digits.
Divisors found:

Tue Mar  1 20:53:05 2022  p79 factor: 3300273896512077917895099421038390930369865179451097642930845103908611761796089
Tue Mar  1 20:53:05 2022  p102 factor: 469004019041825380108742510602840270854448872433164601400086066025265534977495167559412545138435245873
Tue Mar  1 20:53:05 2022  elapsed time 00:28:56 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 427x10^183-4 = 474(183)
#
n: 1547841721402989835718532051560891440834022068525526701175924717618571200719184537532443052474371801006278365015152174228254092537010454275233082488726492380413821102846288804790697
m: 1000000000000000000000000000000000000
deg: 5
c5: 106750
c0: -1
skew: 0.10
# Murphy_E = 4.89e-11
type: snfs
lss: 1
rlim: 8500000
alim: 8500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8500000/8500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3745270 hash collisions in 35441462 relations (33099486 unique)
Msieve: matrix is 1050371 x 1050598 (359.9 MB)

Sieving start time : 2022/03/01 14:53:37
Sieving end time  : 2022/03/01 20:23:29

Total sieving time: 5hrs 29min 52secs.

Total relation processing time: 0hrs 17min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 41sec.

Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,8500000,8500000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117462] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154119] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798724)
[    0.152036] smpboot: Total of 16 processors activated (102389.79 BogoMIPS)

139888157063015761623491256404782077228964891537707488665131010998497014505501491605527851889044421688980263677695833853449367631371071703327372537316978071312701519840153<171>

6587295464909687452296599252168194102901182535124327796224577256068436831556157<79>
21236053219139099857102995967633107629446622542884430050576529072694464322421680126525298829<92>

Number: n
N=139888157063015761623491256404782077228964891537707488665131010998497014505501491605527851889044421688980263677695833853449367631371071703327372537316978071312701519840153  ( 171 digits)
SNFS difficulty: 187 digits.
Divisors found:

Sun Mar  6 11:05:36 2022  p79 factor: 6587295464909687452296599252168194102901182535124327796224577256068436831556157
Sun Mar  6 11:05:36 2022  p92 factor: 21236053219139099857102995967633107629446622542884430050576529072694464322421680126525298829
Sun Mar  6 11:05:36 2022  elapsed time 00:36:31 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.302).
Factorization parameters were as follows:
#
# N = 427x10^185-4 = 474(185)
#
n: 139888157063015761623491256404782077228964891537707488665131010998497014505501491605527851889044421688980263677695833853449367631371071703327372537316978071312701519840153
m: 10000000000000000000000000000000000000
deg: 5
c5: 427
c0: -4
skew: 0.39
# Murphy_E = 4.634e-11
type: snfs
lss: 1
rlim: 9400000
alim: 9400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9400000/9400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3778059 hash collisions in 35606216 relations (33233708 unique)
Msieve: matrix is 1186299 x 1186525 (403.9 MB)

Sieving start time : 2022/03/06 04:42:14
Sieving end time  : 2022/03/06 10:27:43

Total sieving time: 5hrs 45min 29secs.

Total relation processing time: 0hrs 23min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 44sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9400000,9400000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119529] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.153528] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.06 BogoMIPS (lpj=12798128)
[    0.152048] smpboot: Total of 16 processors activated (102385.02 BogoMIPS)

7423027615920882847107613215843506165186540942182674448437355788676298841349956019197063571548454730902565634735762588224282998284251029<136>

229567348335903820741883590064902846118075979785054114557<57>
32334858026322979054143899597468682461693085658167328806756238773537434475327097<80>

7423027615920882847107613215843506165186540942182674448437355788676298841349956019197063571548454730902565634735762588224282998284251029=229567348335903820741883590064902846118075979785054114557*32334858026322979054143899597468682461693085658167328806756238773537434475327097

cado polynomial
n: 7423027615920882847107613215843506165186540942182674448437355788676298841349956019197063571548454730902565634735762588224282998284251029
skew: 0.25
type: snfs
c0: -2
c5: 2135
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 2135*x^5-2
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 9600000
tasks.lim1 = 9600000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
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: 32334858026322979054143899597468682461693085658167328806756238773537434475327097 229567348335903820741883590064902846118075979785054114557
Info:Square Root: Total cpu/real time for sqrt: 609.53/190.119
Info:Filtering - Singleton removal: Total cpu/real time for purge: 332.75/392.425
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 26112190
Info:Lattice Sieving: Average J: 1894.18 for 2489452 special-q, max bucket fill -bkmult 1.0,1s:1.152930
Info:Lattice Sieving: Total time: 453110s
Info:Linear Algebra: Total cpu/real time for bwc: 73765.1/18910
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 47358.3, WCT time 12081.27, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (65280 iterations)
Info:Linear Algebra: Lingen CPU time 435.04, WCT time 110.57
Info:Linear Algebra: Mksol: CPU time 25568.65,  WCT time 6546.79, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (32512 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 119.11/32.4366
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 109.5/129.019
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 128.4s
Info:Filtering - Merging: Merged matrix has 2080759 rows and total weight 355074298 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 557.31/154.371
Info:Filtering - Merging: Total cpu/real time for replay: 81.29/71.0345
Info:Generate Factor Base: Total cpu/real time for makefb: 4.15/2.10024
Info:Quadratic Characters: Total cpu/real time for characters: 73.13/31.0008
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 449.33/453.208
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 364.0s
Info:Square Root: Total cpu/real time for sqrt: 609.53/190.119
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 922769/246866
Info:root: Cleaning up computation data in /tmp/cado.5cuc2zrz
32334858026322979054143899597468682461693085658167328806756238773537434475327097 229567348335903820741883590064902846118075979785054114557

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-122-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.9)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

142085139546921167684479594888313738501861236870029135865939561623197939267747093958373990685079606822371834843494023487352609194532886090035849511304391517547<159>

11769366205400481250906359094957263310260243190663766321140393901485864253<74>
12072454630711049062175236012896123778810383606886982786556516610194039837699847110599<86>

Number: n
N=142085139546921167684479594888313738501861236870029135865939561623197939267747093958373990685079606822371834843494023487352609194532886090035849511304391517547  ( 159 digits)
SNFS difficulty: 189 digits.
Divisors found:

Wed Mar  9 16:57:47 2022  p74 factor: 11769366205400481250906359094957263310260243190663766321140393901485864253
Wed Mar  9 16:57:47 2022  p86 factor: 12072454630711049062175236012896123778810383606886982786556516610194039837699847110599
Wed Mar  9 16:57:47 2022  elapsed time 00:38:45 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.338).
Factorization parameters were as follows:
#
# N = 427x10^187-4 = 474(187)
#
n: 142085139546921167684479594888313738501861236870029135865939561623197939267747093958373990685079606822371834843494023487352609194532886090035849511304391517547
m: 10000000000000000000000000000000000000
deg: 5
c5: 10675
c0: -1
skew: 0.16
# Murphy_E = 3.499e-11
type: snfs
lss: 1
rlim: 9900000
alim: 9900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9900000/9900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5311287 hash collisions in 36181777 relations (32773028 unique)
Msieve: matrix is 1271325 x 1271551 (432.9 MB)

Sieving start time : 2022/03/09 10:08:03
Sieving end time  : 2022/03/09 16:18:27

Total sieving time: 6hrs 10min 24secs.

Total relation processing time: 0hrs 27min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 32sec.

Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,9900000,9900000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116350] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798496)
[    0.152039] smpboot: Total of 16 processors activated (102387.96 BogoMIPS)

1248328271851253165450903681349164716499678867039412156186602958114050620987124052088253339485785572132942596245901427676544158320895995829667710521159<151>

55024805608688909738524290511915334449969418817712352624383<59>
22686645741718548630933005207837697462799504422188130739931173468545932444855941783945836473<92>

Number: n
N=1248328271851253165450903681349164716499678867039412156186602958114050620987124052088253339485785572132942596245901427676544158320895995829667710521159  ( 151 digits)
SNFS difficulty: 191 digits.
Divisors found:

Fri Apr 22 16:59:10 2022  p59 factor: 55024805608688909738524290511915334449969418817712352624383
Fri Apr 22 16:59:10 2022  p92 factor: 22686645741718548630933005207837697462799504422188130739931173468545932444855941783945836473
Fri Apr 22 16:59:10 2022  elapsed time 00:45:38 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.335).
Factorization parameters were as follows:
#
# N = 427x10^189-4 = 474(189)
#
n: 1248328271851253165450903681349164716499678867039412156186602958114050620987124052088253339485785572132942596245901427676544158320895995829667710521159
m: 50000000000000000000000000000000000000
deg: 5
c5: 1708
c0: -5
skew: 0.31
# Murphy_E = 2.663e-11
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 25500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4153884 hash collisions in 30860253 relations (28362356 unique)
Msieve: matrix is 1375944 x 1376170 (475.9 MB)

Sieving start time : 2022/04/22 09:27:14
Sieving end time  : 2022/04/22 16:12:34

Total sieving time: 6hrs 45min 20secs.

Total relation processing time: 0hrs 33min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 39sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,11000000,11000000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

82447343253648313115923511645599325597413642860847582005487553964278404909801958860150267440302480144175919338912120570804426127590312133225300688902627175509<158>

2991011884671973650449277265732886378591<40>

27565033651710270780129935885641460857808475739228493197656651226193300118448053162645345710728034952729613231780145099<119>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3141648818
Step 1 took 7047ms
Step 2 took 3750ms
********** Factor found in step 2: 2991011884671973650449277265732886378591
Found prime factor of 40 digits: 2991011884671973650449277265732886378591
Composite cofactor 27565033651710270780129935885641460857808475739228493197656651226193300118448053162645345710728034952729613231780145099 has 119 digits
 

GMP-ECM

27565033651710270780129935885641460857808475739228493197656651226193300118448053162645345710728034952729613231780145099<119>

631842196437362923135580005117702590147117663828064901<54>
43626452628734656291284854530376637171910050972710783354879209999<65>

631842196437362923135580005117702590147117663828064901 43626452628734656291284854530376637171910050972710783354879209999

n: 27565033651710270780129935885641460857808475739228493197656651226193300118448053162645345710728034952729613231780145099
skew: 29170.353
c0: 1777975674426189376291055000
c1: 260602375374234889495590
c2: -28932204533048562213
c3: -580718031494255
c4: 12365933268
c5: 168480
Y0: -84259487046015743427057
Y1: 1825814329174289
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.746e-06
# f(x) = 168480*x^5+12365933268*x^4-580718031494255*x^3-28932204533048562213*x^2+260602375374234889495590*x+1777975674426189376291055000
# g(x) = 1825814329174289*x-84259487046015743427057

cado-nfs 3.0.0

14561247472648471401949419090873991917445447956923177888866699258429230338864794655344668895449228904620514195926225118069<122>

4228750504781700800557697779062113<34>
3443392429083531664298089980653931597496157537696566754512262943392327384786516481176213<88>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3067371294
Step 1 took 4813ms
Step 2 took 2875ms
********** Factor found in step 2: 4228750504781700800557697779062113
Found prime factor of 34 digits: 4228750504781700800557697779062113
Prime cofactor 3443392429083531664298089980653931597496157537696566754512262943392327384786516481176213 has 88 digits

GMP-ECM

8947055224493558958370001592450110214310259569367964932572309806978284009286498537460293513699261606027842732979641782538365475681610553753572536102520261832323384710802678668711707860836623<190>

63836059117613913931466248977827467836289245050161006255046477<62>
140156760115927172715693203621212543429156218380407137128839330699139016050727891412072499506389841607613432079717506711701220299<129>

Number: n
N=8947055224493558958370001592450110214310259569367964932572309806978284009286498537460293513699261606027842732979641782538365475681610553753572536102520261832323384710802678668711707860836623  ( 190 digits)
SNFS difficulty: 195 digits.
Divisors found:

Wed Mar  2 19:37:26 2022  p62 factor: 63836059117613913931466248977827467836289245050161006255046477
Wed Mar  2 19:37:26 2022  p129 factor: 140156760115927172715693203621212543429156218380407137128839330699139016050727891412072499506389841607613432079717506711701220299
Wed Mar  2 19:37:26 2022  elapsed time 01:03:38 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.321).
Factorization parameters were as follows:
#
# N = 427x10^193-4 = 474(193)
#
n: 8947055224493558958370001592450110214310259569367964932572309806978284009286498537460293513699261606027842732979641782538365475681610553753572536102520261832323384710802678668711707860836623
m: 100000000000000000000000000000000000000
deg: 5
c5: 106750
c0: -1
skew: 0.10
# Murphy_E = 1.9e-11
type: snfs
lss: 1
rlim: 12500000
alim: 12500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12500000/12500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4511574 hash collisions in 32857556 relations (30118625 unique)
Msieve: matrix is 1542062 x 1542288 (538.9 MB)

Sieving start time : 2022/03/02 10:37:59
Sieving end time  : 2022/03/02 18:33:16

Total sieving time: 7hrs 55min 17secs.

Total relation processing time: 0hrs 48min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 50sec.

Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12500000,12500000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119529] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.153528] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.06 BogoMIPS (lpj=12798128)
[    0.152048] smpboot: Total of 16 processors activated (102385.02 BogoMIPS)

3546705842521476846928107120120896958716203006544380561572108668024217291776506119436955826954172950064732949687505443480164469456689700056507220029162131503<157>

63076641551744340481542544221502721<35>
56228514316380802509436230270671180539169836019434091201366467406800833884245412559231655625543790692825050146264948874543<122>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2694303645
Step 1 took 7094ms
Step 2 took 3812ms
********** Factor found in step 2: 63076641551744340481542544221502721
Found prime factor of 35 digits: 63076641551744340481542544221502721
Prime cofactor 56228514316380802509436230270671180539169836019434091201366467406800833884245412559231655625543790692825050146264948874543 has 122 digits

GMP-ECM

18007984902651249865265146181692792071560202300441604644522933710965948736409924649160021476965738162013355232182726047434685172937814609530945864737049531351388004893503089542190226113<185>

49543488187004536431402969512264063587708879<44>
363478341183389251265678197737334105724460725866847144343823593593944430621318136948969808121574394434005565751550890968874062998335921627247<141>

Number: n
N=18007984902651249865265146181692792071560202300441604644522933710965948736409924649160021476965738162013355232182726047434685172937814609530945864737049531351388004893503089542190226113  ( 185 digits)
SNFS difficulty: 197 digits.
Divisors found:

Thu Mar  3 18:17:44 2022  p44 factor: 49543488187004536431402969512264063587708879
Thu Mar  3 18:17:44 2022  p141 factor: 363478341183389251265678197737334105724460725866847144343823593593944430621318136948969808121574394434005565751550890968874062998335921627247
Thu Mar  3 18:17:44 2022  elapsed time 01:11:45 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 27x10^195-4 = 474(195)
#
n: 18007984902651249865265146181692792071560202300441604644522933710965948736409924649160021476965738162013355232182726047434685172937814609530945864737049531351388004893503089542190226113
m: 1000000000000000000000000000000000000000
deg: 5
c5: 427
c0: -4
skew: 0.39
# Murphy_E = 1.79e-11
type: snfs
lss: 1
rlim: 13800000
alim: 13800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13800000/13800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4917426 hash collisions in 34038713 relations (30901741 unique)
Msieve: matrix is 1702720 x 1702946 (589.7 MB)

Sieving start time : 2022/03/03 08:17:18
Sieving end time  : 2022/03/03 17:05:24

Total sieving time: 8hrs 48min 6secs.
Total relation processing time: 1hrs 0min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 9sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13800000,13800000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119529] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.153528] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.06 BogoMIPS (lpj=12798128)
[    0.152048] smpboot: Total of 16 processors activated (102385.02 BogoMIPS)

387389114301570623578485448149247493013053204701422783186485332393289223562218160290790351979245995775768362010132860710638066483645812575815015309624877818280084393454965001348358489373<186>

33499473022011419538737364027272401028227<41>
11564036068478742161529193393290774013040878852291236549102067282064844798262412141809349053736836085896917427441675196541161920350231740352568799<146>

Number: n
N=387389114301570623578485448149247493013053204701422783186485332393289223562218160290790351979245995775768362010132860710638066483645812575815015309624877818280084393454965001348358489373  ( 186 digits)
SNFS difficulty: 200 digits.
Divisors found:

Thu Mar  3 08:09:59 2022  p41 factor: 33499473022011419538737364027272401028227
Thu Mar  3 08:09:59 2022  p146 factor: 11564036068478742161529193393290774013040878852291236549102067282064844798262412141809349053736836085896917427441675196541161920350231740352568799
Thu Mar  3 08:09:59 2022  elapsed time 01:22:38 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 27x10^198-4 = 474(198)
#
n: 387389114301570623578485448149247493013053204701422783186485332393289223562218160290790351979245995775768362010132860710638066483645812575815015309624877818280084393454965001348358489373
m: 1000000000000000000000000000000000
deg: 6
c6: 427
c0: -4
skew: 0.46
# Murphy_E = 1.241e-11
type: snfs
lss: 1
rlim: 15500000
alim: 15500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15500000/15500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 34950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4748499 hash collisions in 32940669 relations (30382043 unique)
Msieve: matrix is 1817721 x 1817947 (633.7 MB)

Sieving start time : 2022/03/02 19:39:27
Sieving end time  : 2022/03/03 06:46:44

Total sieving time: 11hrs 7min 17secs.

Total relation processing time: 1hrs 4min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 47sec.

Prototype def-par.txt line would be:
snfs,200,6,0,0,0,0,0,0,0,0,15500000,15500000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119529] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.153528] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.06 BogoMIPS (lpj=12798128)
[    0.152048] smpboot: Total of 16 processors activated (102385.02 BogoMIPS)

1186111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<202>

17094752699582768617562290696534321508669<41>
69384514181363998783250632127724340708863052580584333599464629934858002744754855019635195190913921250165599112622559684038597979921985968107899593549360723105619<161>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1611565647
Step 1 took 9968ms
Step 2 took 4641ms
********** Factor found in step 2: 17094752699582768617562290696534321508669
Found prime factor of 41 digits: 17094752699582768617562290696534321508669
Prime cofactor 69384514181363998783250632127724340708863052580584333599464629934858002744754855019635195190913921250165599112622559684038597979921985968107899593549360723105619 has 161 digits

GMP-ECM

296208021396281524112864419483806708117877158343945660597039866327053348788353877283295403769255962518173257742577682543892383606990803926073745842299208196817709563<165>

2314083238656623652351407261160370368408491<43>
128002319211402616694820261625802073181740051039796434391110492727913193660673592722024866063959460939076885003142811658993<123>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:278788564
Step 1 took 26000ms
Step 2 took 12000ms
********** Factor found in step 2: 2314083238656623652351407261160370368408491
Found prime factor of 43 digits: 2314083238656623652351407261160370368408491
Prime cofactor 128002319211402616694820261625802073181740051039796434391110492727913193660673592722024866063959460939076885003142811658993 has 123 digits
 

GMP-ECM

83132766019338134510472931910136525102792273525683156119660936799283335926105186846861562079397574908828260556605923884412404620058216235188008459417874742626859095924610099400675624901<185>

518363101042208319048933340857214337528373043<45>
513913170314462659606992348759357240124510499169574486511<57>
312067400766831994026544280115152295729925395743740102211432208126186011498476171337<84>

Number: n
N=160375547279876605729381587549892104992420222380145726516799681347019565812051338587396058163033456676592606453611310105504605576441031335207  ( 141 digits)
SNFS difficulty: 204 digits.
Divisors found:

Fri May 20 13:27:20 2022  p57 factor: 513913170314462659606992348759357240124510499169574486511
Fri May 20 13:27:20 2022  p84 factor: 312067400766831994026544280115152295729925395743740102211432208126186011498476171337
Fri May 20 13:27:20 2022  elapsed time 02:16:49 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 427x10^202-4 = 474(202)
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 83132766019338134510472931910136525102792273525683156119660936799283335926105186846861562079397574908828260556605923884412404620058216235188008459417874742626859095924610099400675624901 (185 digits)
# Using B1=21630000, B2=96186870796, polynomial Dickson(12), sigma=1:101112401
# Step 1 took 53400ms
# Step 2 took 20284ms
# ********** Factor found in step 2: 518363101042208319048933340857214337528373043
# Found prime factor of 45 digits: 518363101042208319048933340857214337528373043
# Composite cofactor 160375547279876605729381587549892104992420222380145726516799681347019565812051338587396058163033456676592606453611310105504605576441031335207 has 141 digits
#
n: 160375547279876605729381587549892104992420222380145726516799681347019565812051338587396058163033456676592606453611310105504605576441031335207
m: 10000000000000000000000000000000000000000
deg: 5
c5: 10675
c0: -1
skew: 0.16
# Murphy_E = 8.326e-12
type: snfs
lss: 1
rlim: 17600000
alim: 17600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 17600000/17600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 43200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4180238 hash collisions in 26976555 relations (24019398 unique)
Msieve: matrix is 2418543 x 2418768 (842.6 MB)

Sieving start time : 2022/05/19 20:32:29
Sieving end time  : 2022/05/20 11:09:58

Total sieving time: 14hrs 37min 29secs.

Total relation processing time: 1hrs 52min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 16min 48sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,17600000,17600000,28,28,54,54,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

56852670886563513898289332528641945344753444007200178567171719455105566225902415018188901335853112231854090344252231181970598109693347<134>

8470202051609224181221159553534440126292384629107913<52>
6712079657623075592034978405501064753996514014461474920427022954487142105099211019<82>

6712079657623075592034978405501064753996514014461474920427022954487142105099211019 8470202051609224181221159553534440126292384629107913

Best polynomial is:
n: 56852670886563513898289332528641945344753444007200178567171719455105566225902415018188901335853112231854090344252231181970598109693347
skew: 262356.833
c0: -8366392682341062031141685348778
c1: -368774582368124370311174877
c2: -1672456917037566927332
c3: 15273924223856633
c4: 10220093826
c5: 6600
Y0: -110739334564646725980780772
Y1: 2389809375180123527
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.322e-07
# f(x) = 6600*x^5+10220093826*x^4+15273924223856633*x^3-1672456917037566927332*x^2-368774582368124370311174877*x-8366392682341062031141685348778
# g(x) = 2389809375180123527*x-110739334564646725980780772

cado-nfs 3.0.0

1116183718988410661284447885961194514922250577458146527373815676047015957821221361372053464496193118647455584186248571847851466466980476634001<142>

1079208337252411047045623141595047522841634010491<49>
1034261579029435919936345394563307577403782303463201153863778362329688854495945956426552864611<94>

1079208337252411047045623141595047522841634010491 1034261579029435919936345394563307577403782303463201153863778362329688854495945956426552864611

n: 1116183718988410661284447885961194514922250577458146527373815676047015957821221361372053464496193118647455584186248571847851466466980476634001
skew: 223728.576
c0: 36650424513087647639841013770000
c1: -3693022204060990856131272010
c2: -2412391872479182721901
c3: 52152469702724707
c4: 368070130758
c5: 117000
Y0: -2069958698963205151601994691
Y1: 325891419893579057227
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.023e+14) = 2.420e-07
# f(x) = 117000*x^5+368070130758*x^4+52152469702724707*x^3-2412391872479182721901*x^2-3693022204060990856131272010*x+36650424513087647639841013770000
# g(x) = 325891419893579057227*x-2069958698963205151601994691

cado-nfs 3.0.0

2254260653099416981190246174286696227476087202634852156621064257579970926659927624658902039747173249687123984109755300770548546738203693101780350170675184407543745443660123706057737475770058252965103<199>

1995553630329124129805389113854959489466400698924497769114494963<64>
1129641728910901096740051321595324446718539861073707932496572734934232831092132606207686790623766229529643256942950964748734503102773781<136>

08/21/24 04:58:57 v1.34.5 @ GEEKOM,
08/21/24 04:58:57 v1.34.5 @ GEEKOM, ****************************
08/21/24 04:58:57 v1.34.5 @ GEEKOM, Starting factorization of 42699999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999996
08/21/24 04:58:57 v1.34.5 @ GEEKOM, using pretesting plan: normal
08/21/24 04:58:57 v1.34.5 @ GEEKOM, no tune info: using qs/gnfs crossover of 100 digits
08/21/24 04:58:57 v1.34.5 @ GEEKOM, ****************************
08/21/24 04:58:57 v1.34.5 @ GEEKOM, div: found prime factor = 2
08/21/24 04:58:57 v1.34.5 @ GEEKOM, div: found prime factor = 2
08/21/24 04:58:57 v1.34.5 @ GEEKOM, div: found prime factor = 3
08/21/24 04:58:57 v1.34.5 @ GEEKOM, div: found prime factor = 3
08/21/24 04:58:57 v1.34.5 @ GEEKOM, rho: x^2 + 3, starting 1000 iterations on C208
08/21/24 04:58:57 v1.34.5 @ GEEKOM, rho: x^2 + 2, starting 1000 iterations on C208
08/21/24 04:58:57 v1.34.5 @ GEEKOM, rho: x^2 + 1, starting 1000 iterations on C208
08/21/24 04:58:57 v1.34.5 @ GEEKOM, pm1: starting B1 = 150K, B2 = gmp-ecm default on C208
08/21/24 04:58:57 v1.34.5 @ GEEKOM, current ECM pretesting depth: 0.00
08/21/24 04:58:57 v1.34.5 @ GEEKOM, scheduled 30 curves at B1=2000 toward target pretesting depth of 64.00
08/21/24 04:58:57 v1.34.5 @ GEEKOM, prp9 = 526164137 (curve 1 stg1 B1=2000 sigma=1525108430 thread=0)
08/21/24 04:58:57 v1.34.5 @ GEEKOM, Finished 1 curves using Lenstra ECM method on C208 input, B1=2K, B2=gmp-ecm default
08/21/24 04:58:57 v1.34.5 @ GEEKOM, current ECM pretesting depth: 0.00
08/21/24 04:58:57 v1.34.5 @ GEEKOM, scheduled 29 curves at B1=2000 toward target pretesting depth of 61.23
08/21/24 04:58:57 v1.34.5 @ GEEKOM, Finished 29 curves using Lenstra ECM method on C199 input, B1=2K, B2=gmp-ecm default
08/21/24 04:58:57 v1.34.5 @ GEEKOM, current ECM pretesting depth: 15.18
08/21/24 04:58:57 v1.34.5 @ GEEKOM, scheduled 74 curves at B1=11000 toward target pretesting depth of 61.23
08/21/24 04:58:59 v1.34.5 @ GEEKOM, Finished 74 curves using Lenstra ECM method on C199 input, B1=11K, B2=gmp-ecm default
08/21/24 04:58:59 v1.34.5 @ GEEKOM, current ECM pretesting depth: 20.24
08/21/24 04:58:59 v1.34.5 @ GEEKOM, scheduled 214 curves at B1=50000 toward target pretesting depth of 61.23
08/21/24 04:59:34 v1.34.5 @ GEEKOM, nfs: commencing nfs on c209: 42699999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999996
08/21/24 04:59:34 v1.34.5 @ GEEKOM, nfs: input divides 427*10^206 - 4
08/21/24 04:59:34 v1.34.5 @ GEEKOM, nfs: using supplied cofactor: 2254260653099416981190246174286696227476087202634852156621064257579970926659927624658902039747173249687123984109755300770548546738203693101780350170675184407543745443660123706057737475770058252965103
08/21/24 04:59:34 v1.34.5 @ GEEKOM, nfs: commencing snfs on c199: 2254260653099416981190246174286696227476087202634852156621064257579970926659927624658902039747173249687123984109755300770548546738203693101780350170675184407543745443660123706057737475770058252965103
08/21/24 04:59:34 v1.34.5 @ GEEKOM, gen: best 3 polynomials:
n: 2254260653099416981190246174286696227476087202634852156621064257579970926659927624658902039747173249687123984109755300770548546738203693101780350170675184407543745443660123706057737475770058252965103
# 427*10^206-4, difficulty: 210.63, anorm: -1.32e+031, rnorm: 2.17e+040
# scaled difficulty: 212.17, suggest sieving rational side
# size = 2.561e-010, alpha = -1.219, combined = 6.468e-012, rroots = 2
type: snfs
size: 210
skew: 0.2131
c6: 10675
c0: -1
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
n: 2254260653099416981190246174286696227476087202634852156621064257579970926659927624658902039747173249687123984109755300770548546738203693101780350170675184407543745443660123706057737475770058252965103
# 427*10^206-4, difficulty: 209.63, anorm: 3.55e+025, rnorm: 2.01e+047
# scaled difficulty: 213.26, suggest sieving rational side
# size = 1.018e-014, alpha = 1.740, combined = 4.919e-012, rroots = 1
type: snfs
size: 209
skew: 0.2479
c5: 2135
c0: -2
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 2254260653099416981190246174286696227476087202634852156621064257579970926659927624658902039747173249687123984109755300770548546738203693101780350170675184407543745443660123706057737475770058252965103
# 427*10^206-4, difficulty: 209.83, anorm: 1.56e+026, rnorm: 2.84e+047
# scaled difficulty: 213.38, suggest sieving rational side
# size = 7.195e-015, alpha = 0.701, combined = 4.014e-012, rroots = 1
type: snfs
size: 209
skew: 0.4959
c5: 2135
c0: -64
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
08/21/24 04:59:37 v1.34.5 @ GEEKOM, test: fb generation took 2.9503 seconds
08/21/24 04:59:37 v1.34.5 @ GEEKOM, test: commencing test sieving of polynomial 0 on the rational side over range 21400000-21402000
skew: 0.2131
c6: 10675
c0: -1
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
08/21/24 05:02:48 v1.34.5 @ GEEKOM, nfs: parsing special-q from .dat file
08/21/24 05:02:50 v1.34.5 @ GEEKOM, test: fb generation took 2.0212 seconds
08/21/24 05:02:50 v1.34.5 @ GEEKOM, test: commencing test sieving of polynomial 1 on the rational side over range 21400000-21402000
skew: 0.2479
c5: 2135
c0: -2
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
08/21/24 05:05:58 v1.34.5 @ GEEKOM, nfs: parsing special-q from .dat file
08/21/24 05:06:00 v1.34.5 @ GEEKOM, test: fb generation took 2.0140 seconds
08/21/24 05:06:00 v1.34.5 @ GEEKOM, test: commencing test sieving of polynomial 2 on the rational side over range 21400000-21402000
skew: 0.4959
c5: 2135
c0: -64
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
08/21/24 05:09:12 v1.34.5 @ GEEKOM, nfs: parsing special-q from .dat file
08/21/24 05:09:12 v1.34.5 @ GEEKOM, gen: selected polynomial:
n: 2254260653099416981190246174286696227476087202634852156621064257579970926659927624658902039747173249687123984109755300770548546738203693101780350170675184407543745443660123706057737475770058252965103
# 427*10^206-4, difficulty: 210.63, anorm: -1.32e+031, rnorm: 2.17e+040
# scaled difficulty: 212.17, suggest sieving rational side
# size = 2.561e-010, alpha = -1.219, combined = 6.468e-012, rroots = 2
type: snfs
size: 210
skew: 0.2131
c6: 10675
c0: -1
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
08/23/24 06:17:02 v1.34.5 @ GEEKOM, nfs: commencing msieve filtering
08/23/24 06:18:51 v1.34.5 @ GEEKOM, nfs: raising min_rels by 5.00 percent to 22145491
08/23/24 09:41:33 v1.34.5 @ GEEKOM, nfs: commencing msieve filtering
08/23/24 09:43:32 v1.34.5 @ GEEKOM, nfs: raising min_rels by 5.00 percent to 23406215
08/23/24 12:59:46 v1.34.5 @ GEEKOM, nfs: commencing msieve filtering
08/23/24 13:01:52 v1.34.5 @ GEEKOM, nfs: raising min_rels by 5.00 percent to 24645520
08/23/24 16:43:23 v1.34.5 @ GEEKOM, nfs: commencing msieve filtering
08/23/24 16:45:35 v1.34.5 @ GEEKOM, nfs: raising min_rels by 5.00 percent to 26017885
08/23/24 20:27:14 v1.34.5 @ GEEKOM, nfs: commencing msieve filtering
08/23/24 20:31:08 v1.34.5 @ GEEKOM, nfs: commencing msieve linear algebra
08/23/24 23:37:55 v1.34.5 @ GEEKOM, nfs: commencing msieve sqrt
08/23/24 23:41:48 v1.34.5 @ GEEKOM, prp136 = 1129641728910901096740051321595324446718539861073707932496572734934232831092132606207686790623766229529643256942950964748734503102773781
08/23/24 23:41:48 v1.34.5 @ GEEKOM, prp64 = 1995553630329124129805389113854959489466400698924497769114494963
08/23/24 23:41:48 v1.34.5 @ GEEKOM, NFS elapsed time = 240134.5275 seconds.
08/23/24 23:41:48 v1.34.5 @ GEEKOM,
08/23/24 23:41:48 v1.34.5 @ GEEKOM,
08/21/24 05:09:12 v1.34.5 @ GEEKOM, test: test sieving took 577.61 seconds

YAFU

162012690867644358240033753276298795414775253870471802203372595799963272064459044557663617640943452638416509965867302879500500076643005984225199916830955882464535535795319161206801042344881385462718868901<204>

40942320763501154286910157120227707529009535082991703<53>

3957095930235439708380986449872126040215612280317136184286876411845504060020879128376416200284394794707194183517007121158453763078979379410854913901667<151>

Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Tue Nov 21 10:28:18 2023
Input number is 162012690867644358240033753276298795414775253870471802203372595799963272064459044557663617640943452638416509965867302879500500076643005984225199916830955882464535535795319161206801042344881385462718868901 (204 digits)
Using mpz_mod
Using lmax = 33554432 with NTT which takes about 9984MB of memory
Using B1=4000000000-4000000000, B2=8344907294582686, polynomial x^1
P = 240705465, l = 33554432, s_1 = 16220160, k = s_2 = 5, m_1 = 3
Probability of finding a factor of n digits (assuming one exists):
20        25      30      35      40      45      50      55      60      65
0.81    0.53    0.28    0.12    0.045   0.015   0.0045  0.0012  0.00031 7.3e-05
Step 1 took 0ms
Computing F from factored S_1 took 173533ms
Computing h took 20397ms
Computing DCT-I of h took 54003ms
Multi-point evaluation 1 of 5:
Computing g_i took 67473ms
Computing g*h took 111160ms
Computing gcd of coefficients and N took 24139ms
Multi-point evaluation 2 of 5:
Computing g_i took 67682ms
Computing g*h took 111105ms
Computing gcd of coefficients and N took 24040ms
Multi-point evaluation 3 of 5:
Computing g_i took 67316ms
Computing g*h took 111125ms
Computing gcd of coefficients and N took 24017ms
Multi-point evaluation 4 of 5:
Computing g_i took 67482ms
Computing g*h took 111161ms
Computing gcd of coefficients and N took 24029ms
Step 2 took 1059998ms
********** Factor found in step 2: 40942320763501154286910157120227707529009535082991703
Found prime factor of 53 digits: 40942320763501154286910157120227707529009535082991703
Composite cofactor 3957095930235439708380986449872126040215612280317136184286876411845504060020879128376416200284394794707194183517007121158453763078979379410854913901667 has 151 digits

GMP-ECM 7.0.6, ecm-db 0.1

1080 Ti for PM1 stage1

11591829035509583117237114809098408423100034354470090018270554289066819972497352877344274813750369303103572589086720207544297710211633258326043643280122030462638520987<167>

6743098983008022234855662939801654980734002905691365043269534457709557197902848840881814162087044406544122291706146168909102394037015981302507737982439517402564588465668624849977891478744235992672604383803929<208>

96583781776581651435904009504794329837<38>

69816058752039869224527891921700895766608525920007135201602274540171296907888260094232408240387397762020136229967454846491280571968889590280062331644062232758199059649117<170>

Run 316 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2663964501
Step 1 took 18969ms
Step 2 took 7698ms
********** Factor found in step 2: 96583781776581651435904009504794329837
Found prime factor of 38 digits: 96583781776581651435904009504794329837
Composite cofactor 69816058752039869224527891921700895766608525920007135201602274540171296907888260094232408240387397762020136229967454846491280571968889590280062331644062232758199059649117 has 170 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

69816058752039869224527891921700895766608525920007135201602274540171296907888260094232408240387397762020136229967454846491280571968889590280062331644062232758199059649117<170>

177321465317079388304236785450850533610771<42>
393725929498707290398039100070696282700301519530768434197804667903733855589915311070176278074300872106757514193452458210722437327<129>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3282572387
Step 1 took 21189ms
Step 2 took 11751ms
********** Factor found in step 2: 177321465317079388304236785450850533610771
Found prime factor of 42 digits: 177321465317079388304236785450850533610771
Prime cofactor 393725929498707290398039100070696282700301519530768434197804667903733855589915311070176278074300872106757514193452458210722437327 has 129 digits

284288005442355884331234953030732558023895211577892738463312362759048202347473415878144551600470569656450106127587367810476678715453478346311527445578267185223573028209<168>

3875192171705871184147589671386317011109795035089427225216784659739266308640019839723546181884288213829109381939527862092632298716589375996081995171363512065505920077033853067209156227<184>

47553649379062763119823144518659015757<38>

81490952267736291872656354262585524476979554494751921335876598240796984884940890403195059183656073286342464612798960214198158258925755572456029711<146>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:838215910
Step 1 took 56514ms
Step 2 took 25419ms
********** Factor found in step 2: 47553649379062763119823144518659015757
Found prime factor of 38 digits: 47553649379062763119823144518659015757
Composite cofactor 81490952267736291872656354262585524476979554494751921335876598240796984884940890403195059183656073286342464612798960214198158258925755572456029711 has 146 digits

81490952267736291872656354262585524476979554494751921335876598240796984884940890403195059183656073286342464612798960214198158258925755572456029711<146>

108239795455675190877801844362390133926466601057843<51>
752874226384761584755428643698032774363624113906300168731542662615403187758240925917442138090677<96>

752874226384761584755428643698032774363624113906300168731542662615403187758240925917442138090677
108239795455675190877801844362390133926466601057843

cado-nfs

2x Xeon E5-2698v4, 256GB DDR4, Ubuntu Server 22.04

27293231979404691386261189370622792125088301990581472423551752442596192440160955595474722794679821488969054257644870666602483345192093663640147329632650065836341091258555371367<176>

4678469893674246858271887581126426942155881046456057207328073950036534889440418628800175013647364318379727187679397015230548665548015393426577553402969040759801413306718426553817297<181>

1571022200811852269434439311778034251677<40>
2977978217784935492214470769623123490935623317022036709965093450787667469299081869158377471763296013069724091782740523378254855983064207045061<142>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3012008408
Step 1 took 41148ms
Step 2 took 14076ms
********** Factor found in step 2: 1571022200811852269434439311778034251677
Found probable prime factor of 40 digits: 1571022200811852269434439311778034251677
Probable prime cofactor 2977978217784935492214470769623123490935623317022036709965093450787667469299081869158377471763296013069724091782740523378254855983064207045061 has 142 digits

8954542380804711403671822643726694946111497113356078174820798042911969803419535741485418984968541402865157868869955221083811109659279090152869360788359232925843235308557053356612191791364661893711099829<202>

436990670306048922863000570849447754726959570637124447146211822484015092407078932129757590493076068207197421181877178446514396506600251227274962687011262114917653822153718672342553002735434326420879699173795183<210>

1991582217623265104554112049226791503<37>

219418845197136450114258473927532672931801779016282318258440563638020721461170883773648021842715560711256730976238485015215638186887111891145028587235434347227066055634254561<174>

Run 240 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2423313517
Step 1 took 18861ms
Step 2 took 7757ms
********** Factor found in step 2: 1991582217623265104554112049226791503
Found prime factor of 37 digits: 1991582217623265104554112049226791503
Composite cofactor 219418845197136450114258473927532672931801779016282318258440563638020721461170883773648021842715560711256730976238485015215638186887111891145028587235434347227066055634254561 has 174 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

2020922773916220166291382110197815079372994525448254587017208631832244611305254142261326279912106314521543890356682341350986537173778942280905399444746543699944466963137089811786429097231913173326113597<202>

1857471973194583257910430435710739348858135645953<49>
1087996375224184492718330330623368299148899273147912765325716915420708785522853587224622697808398130780238661796988810198634778401279576578329054286092349<154>

Number: 47444_220
N = 2020922773916220166291382110197815079372994525448254587017208631832244611305254142261326279912106314521543890356682341350986537173778942280905399444746543699944466963137089811786429097231913173326113597 (202 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=1857471973194583257910430435710739348858135645953 (pp49)
r2=1087996375224184492718330330623368299148899273147912765325716915420708785522853587224622697808398130780238661796988810198634778401279576578329054286092349 (pp154)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 38.97 hours.
Factorization parameters were as follows:
n: 2020922773916220166291382110197815079372994525448254587017208631832244611305254142261326279912106314521543890356682341350986537173778942280905399444746543699944466963137089811786429097231913173326113597
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 427
c0: -4
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
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: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30514328
Relations: 8763976 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 13.64 hours.
Total relation processing time: 0.34 hours.
Pruned matrix : 7429061 x 7429286
Matrix solve time: 24.80 hours.
time per square root: 0.19 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 38.97 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

1930394028217777852037572727764551298242453083953060576850095237185834673805308673143116683503636405323471298025073867580331623515167113417147879877412080181213179<163>

109058937194011076616690489211973535252901<42>
17700466168890783833641848982473089015321187024450569579432262718961852207339646990368418358570903869673595892325257634079<122>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3308027922
Step 1 took 36900ms
Step 2 took 12712ms
********** Factor found in step 2: 109058937194011076616690489211973535252901
Found probable prime factor of 42 digits: 109058937194011076616690489211973535252901
Probable prime cofactor 17700466168890783833641848982473089015321187024450569579432262718961852207339646990368418358570903869673595892325257634079 has 122 digits

202527394494604599803712790476831645705673201304233103239031414408562634080916192930340324598138464108473441318726709005728113910499759956969949<144>

5793359195314401823489596516793406511732789359767733474916353<61>
34958542646277876828451028078469727954136648916375964285062253887481299346012615133<83>

Number: 47444_223
N = 202527394494604599803712790476831645705673201304233103239031414408562634080916192930340324598138464108473441318726709005728113910499759956969949 (144 digits)
SNFS difficulty: 226 digits.
Divisors found:
r1=5793359195314401823489596516793406511732789359767733474916353 (pp61)
r2=34958542646277876828451028078469727954136648916375964285062253887481299346012615133 (pp83)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 147.37 hours.
Factorization parameters were as follows:
n: 202527394494604599803712790476831645705673201304233103239031414408562634080916192930340324598138464108473441318726709005728113910499759956969949
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 106750
c0: -1
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
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: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 34757124
Relations: 13509038 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 40.11 hours.
Total relation processing time: 0.45 hours.
Pruned matrix : 11282579 x 11282804
Matrix solve time: 106.31 hours.
time per square root: 0.49 hours.
Prototype def-par.txt line would be: snfs,226,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 147.37 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

189403195829005244655929867057734872419380640726726737057636644384729870239945601178205699768658726955952216022549706195529735321987348520452353071287067431066132838817372628902054717635650289913<195>

59841849022142117350308182189796791993<38>

3165062559462760885667798243698477260835178474449888973040320117632268111536459410760057846350356952791602020728531522400485713527676433384203433368336997441<157>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=843178376
Step 1 took 46619ms
Step 2 took 12882ms
********** Factor found in step 2: 59841849022142117350308182189796791993
Found probable prime factor of 38 digits: 59841849022142117350308182189796791993
Composite cofactor 3165062559462760885667798243698477260835178474449888973040320117632268111536459410760057846350356952791602020728531522400485713527676433384203433368336997441 has 157 digits

57008950004619460585854410623584455755447358709926179417712987840404846321494163191390393551339830484487958161038134314688335942126970547066962952994184820078685702048530504194096382775446685817401534728997876116213879423<221>

23590319962909926235025237503439589157454883056984251546582987531022457749366165934233680243269779316145052853537932805097102151189544264795125322539<149>

2046308873851589100831470625534236617856747776722069946688282866079<67>
11528230300105144957547463239065494450136498530941646009548558771176696911698602741<83>

11528230300105144957547463239065494450136498530941646009548558771176696911698602741
2046308873851589100831470625534236617856747776722069946688282866079

cado-nfs

2x Xeon E5-2698v4, 256GB DDR4, Ubuntu Server 22.04

2756594260347100039543783215327111047333032613064311119249559341888195838054526262581942491070793931738319470140699176699810806850703178547961321985403005874184173241190640577996382926406892921635906363<202>

1793063695801645584033586006341898562746033259<46>

1537365497277930094728359645297501414389348827140050961969896067170996133279770488812676306952148616658060506635547475707101411570467157735022095524041273457<157>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1530072863
Step 1 took 39010ms
Step 2 took 16566ms
********** Factor found in step 2: 1793063695801645584033586006341898562746033259
Found prime factor of 46 digits: 1793063695801645584033586006341898562746033259
Composite cofactor 1537365497277930094728359645297501414389348827140050961969896067170996133279770488812676306952148616658060506635547475707101411570467157735022095524041273457 has 157 digits

1537365497277930094728359645297501414389348827140050961969896067170996133279770488812676306952148616658060506635547475707101411570467157735022095524041273457<157>

8869969730573033196439291522154631853649<40>
22349361459298556116433973421062510297797908462214981<53>
7755144115831518739986804586813955900891818445667707210415947053<64>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), 3 threads
GMP-ECM 7.0.5-dev [configured with GMP 6.2.1, --enable-asm-redc, --enable-assert] [ECM]

Run 2666 out of 3013:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2444543865
Step 1 took 16297ms
Step 2 took 7375ms
********** Factor found in step 2: 8869969730573033196439291522154631853649
Found prime factor of 40 digits: 8869969730573033196439291522154631853649

---

n: 173322519013670922374505771369276120698771399221911153770450765063957150156738934602472995501416692798135093199400993
skew: 16510.708
c0: -325902073444821375592073760
c1: 70316059683606585922166
c2: 6829561364899806123
c3: -305304542192168
c4: -8924229780
c5: -277200
Y0: -23756138135637548261893
Y1: 149435966580260029
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 8.742e-07
# f(x) = -277200*x^5-8924229780*x^4-305304542192168*x^3+6829561364899806123*x^2+70316059683606585922166*x-325902073444821375592073760
# g(x) = 149435966580260029*x-23756138135637548261893

2349361459298556116433973421062510297797908462214981 7755144115831518739986804586813955900891818445667707210415947053

cado-nfs 3.0.0

1318263113331805003223333937114992157527785632306607039169733207814368482267173334162761945271173351097333076714116633024077190658619839367253927057292586477667916053143812700151<178>

13535679986134185683956236858972341046106544597198299465167291704166130978215270372287998183187912891158693476370472322934881412784556695733439579096720397932752794313458023384481376829386664446122160649<203>

1021178066037448597802089021769795783140388924358146499301420376331071405488990978022536785348814866745013297499327902733684990772011874299419830373120151040703679210949460330365842518707313763281<196>

1787814630150251472457214499235758601261111327407773849800046844357828763189141076695910108140547528955990483929050280407306935203565965839777847639177991590454135281594677272577416449<184>

7328438626582813884131212433675382784222767093387768823313469078283804725450979247936999852025890512987584364556898998964729824357518251477692479410333758437992789058614062154537994036570897408420019432175683<208>

1800580146712875277888560580961785630217827686795408993743881151233299403375677471379250581278414400423323436022826863080699152381818512944186084676259654455567761161<166>

469495276098078373889618118793103425335975904570408491334818702803<66>
3835140071434352357665395188674428237351670019615430818107573766548011030467842556504768578436379187<100>

Number: 47444_239
N = 1800580146712875277888560580961785630217827686795408993743881151233299403375677471379250581278414400423323436022826863080699152381818512944186084676259654455567761161 (166 digits)
SNFS difficulty: 243 digits.
Divisors found:
r1=469495276098078373889618118793103425335975904570408491334818702803 (pp66)
r2=3835140071434352357665395188674428237351670019615430818107573766548011030467842556504768578436379187 (pp100)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 50.42 hours.
Factorization parameters were as follows:
# Murphy_E = 1.561e-11, selected by Dmitry Domanov
n: 1800580146712875277888560580961785630217827686795408993743881151233299403375677471379250581278414400423323436022826863080699152381818512944186084676259654455567761161 
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 4
c4: 427
c0: -40
skew: 1.00
type: snfs
lss: 1
rlim: 500000000
alim: 150000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 8
Number of threads per core: 1
Factor base limits: 500000000/150000000
Large primes per side: 3
Large prime bits: 29/29
Total raw relations: 0
Relations: 16746958 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 26.64 hours.
Total relation processing time: 0.65 hours.
Pruned matrix : 12571788 x 12572013
Matrix solve time: 22.47 hours.
time per square root: 0.66 hours.
Prototype def-par.txt line would be: snfs,243,4,0,0,0,0,0,0,0,0,500000000,150000000,29,29,58,58,2.8,2.8,100000
total time: 50.42 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22631-SP0
processors: 16, speed: 3.79GHz

GGNFS, NFS_factory, Msieve

20774775954015174519113562593057130205728276167085558156148820881127237980984472942182543275901732799249360151496477658630788716169250416308022027451156458311524683868726068747402058316148652736804762392124664847399588696412292525426331<236>

1059084277538013987167453418015625852400278276849692979910736339370435240931344403537159883241637660867501836581521757220798211151139706532756899059252984127132354803<166>

29095676333450795490671221647297935956512593<44>

36400057018795027080465882646764785605744520581983082590550741394443657124271949105492512797451680404562061667168447539971<122>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2495656189
Step 1 took 4953ms
Step 2 took 2625ms
********** Factor found in step 2: 29095676333450795490671221647297935956512593
Found prime factor of 44 digits: 29095676333450795490671221647297935956512593
Composite cofactor 36400057018795027080465882646764785605744520581983082590550741394443657124271949105492512797451680404562061667168447539971 has 122 digits
 

GMP-ECM

36400057018795027080465882646764785605744520581983082590550741394443657124271949105492512797451680404562061667168447539971<122>

181113308710248266467227389453438218850233<42>
200979471238246645232724788559030061019311125160484575343604847754086848516920987<81>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4036755751
Step 1 took 4766ms
Step 2 took 2984ms
********** Factor found in step 2: 181113308710248266467227389453438218850233
Found prime factor of 42 digits: 181113308710248266467227389453438218850233
Prime cofactor 200979471238246645232724788559030061019311125160484575343604847754086848516920987 has 81 digits
 

GMP-ECM

43241392927381307034083177794272199706565506650725597069747894290108909929218573105690782913248413123883061573057023707723735005672127849359413808055237877409353148678786285055126009<182>

1030195967972831536625301187876867214715719098809602521869294924240691956864750870900006788819476968714295116778453969079518149402777684331646750814947111809960278668089114374345031675110718654545765991016057558560053665137<223>

43299130072297828148128490204114264388769<41>

23792532696446397341676181373438147802015568254023215642261981828903481249471059763086896841762916586878155148331375925152189657283577127469529904411202140067076492965464257505765073<182>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:853208303
Step 1 took 35993ms
Step 2 took 14719ms
********** Factor found in step 2: 43299130072297828148128490204114264388769
Found prime factor of 41 digits: 43299130072297828148128490204114264388769
Composite cofactor 23792532696446397341676181373438147802015568254023215642261981828903481249471059763086896841762916586878155148331375925152189657283577127469529904411202140067076492965464257505765073 has 182 digits

21539070707142443950425842198701990276046808668356162398072576836709295626418593890969625504519348602711091907958074014850752671813705005950827366002812718925990997167957598452673927195234225168977327669303359814593673697745673591243533<236>

2326761526037811251276287344078291554663503604367928521269426183083625151699466922433599552745046843983866601036358593425478349504256865070627451817067222124517825507315635033<175>

698708936893814743641109059032684569238344848772464483904646747489153639114318501665448485549043608858739701696554118668127029607108859541218882317924864657356022510212002744652262300450901565297361<198>

96817264398470652287045620804418091051375250250242633221515479071667589482633349112172369165631232187654141649308117765670991935935955556549373598735460683751684377108601811052304177886848725235573504554498856372225028171<221>

8543897573342492755853024477522557474469<40>

11331744507395162786332419693465086338236077952262190485145917000564188737332475045327427216692600295032448291642295421265460387241759534807180798109765696591608311370586418187200559<182>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2439650156
Step 1 took 36023ms
Step 2 took 14781ms
********** Factor found in step 2: 8543897573342492755853024477522557474469
Found prime factor of 40 digits: 8543897573342492755853024477522557474469
Composite cofactor 11331744507395162786332419693465086338236077952262190485145917000564188737332475045327427216692600295032448291642295421265460387241759534807180798109765696591608311370586418187200559 has 182 digits