5384345292286213594087692347743989048433192312203933512311314883898242787688119<79>

1259342256869937172101006069515329<34>
4275521815387077932493117289719552495497995511<46>

03/10/22 01:51:50, starting SIQS on c79: 5384345292286213594087692347743989048433192312203933512311314883898242787688119
03/10/22 01:51:50, random seed: 2062626049618002403
03/10/22 01:51:50, ==== sieve params ====
03/10/22 01:51:50, n = 82 digits, 270 bits
03/10/22 01:51:50, factor base: 43520 primes (max prime = 1114759)
03/10/22 01:51:50, single large prime cutoff: 100328310 (90 * pmax)
03/10/22 01:51:50, double large prime range from 1242687628081 to 252675011505407
03/10/22 01:51:50, DLP MFB = 1.80
03/10/22 01:51:50, allocating 7 large prime slices of factor base
03/10/22 01:51:50, buckets hold 2048 elements
03/10/22 01:51:50, large prime hashtables have 688128 bytes
03/10/22 01:51:50, using AVX2 enabled 32k sieve core
03/10/22 01:51:50, sieve interval: 6 blocks of size 32768
03/10/22 01:51:50, polynomial A has ~ 10 factors
03/10/22 01:51:50, using multiplier of 191
03/10/22 01:51:50, using multiplier of 191
03/10/22 01:51:50, using Q2(x) polynomials for kN mod 8 = 1
03/10/22 01:51:50, using SPV correction of 21 bits, starting at offset 33
03/10/22 01:51:50, trial factoring cutoff at 85 bits
03/10/22 01:51:50, ==== sieving started ( 8 threads) ====
03/10/22 01:52:15, trial division touched 9837040 sieve locations out of 46626373632
03/10/22 01:52:15, total reports = 9837040, total surviving reports = 2491196
03/10/22 01:52:15, total blocks sieved = 1422924, avg surviving reports per block = 1.75
03/10/22 01:52:15, dlp-ecm: 0 failures, 135254 attempts, 1225622 outside range, 923072 prp, 131590 useful
03/10/22 01:52:15, 44457 relations found: 17621 full + 26836 from 321217 partial, using 118577 polys (462 A polys)
03/10/22 01:52:15, on average, sieving found 2.86 rels/poly and 13623.96 rels/sec
03/10/22 01:52:15, trial division touched 9837040 sieve locations out of 46626373632
03/10/22 01:52:15, ==== post processing stage (msieve-1.38) ====
03/10/22 01:52:15, QS elapsed time = 24.8707 seconds.
03/10/22 01:52:16, begin singleton removal with 338838 relations
03/10/22 01:52:16, reduce to 80664 relations in 7 passes
03/10/22 01:52:18, recovered 80664 relations
03/10/22 01:52:18, recovered 58532 polynomials
03/10/22 01:52:18, attempting to build 44457 cycles
03/10/22 01:52:18, found 44457 cycles from 80664 relations in 3 passes
03/10/22 01:52:18, distribution of cycle lengths:
03/10/22 01:52:18,    length 1 : 17621
03/10/22 01:52:18,    length 2 : 14480
03/10/22 01:52:19,    length 3 : 7224
03/10/22 01:52:19,    length 4 : 3126
03/10/22 01:52:19,    length 5 : 1320
03/10/22 01:52:19,    length 6 : 422
03/10/22 01:52:19,    length 7 : 173
03/10/22 01:52:19,    length 9+: 91
03/10/22 01:52:19, largest cycle: 11 relations
03/10/22 01:52:19, matrix is 43520 x 44457 (7.8 MB) with weight 1698009 (38.19/col)
03/10/22 01:52:19, sparse part has weight 1698009 (38.19/col)
03/10/22 01:52:20, filtering completed in 4 passes
03/10/22 01:52:20, matrix is 34532 x 34596 (6.2 MB) with weight 1357964 (39.25/col)
03/10/22 01:52:20, sparse part has weight 1357964 (39.25/col)
03/10/22 01:52:20, saving the first 48 matrix rows for later
03/10/22 01:52:20, matrix is 34484 x 34596 (5.3 MB) with weight 1142171 (33.01/col)
03/10/22 01:52:20, sparse part has weight 1050480 (30.36/col)
03/10/22 01:52:20, matrix includes 64 packed rows
03/10/22 01:52:21, using block size 13838 for processor cache size 12288 kB
03/10/22 01:52:21, commencing Lanczos iteration
03/10/22 01:52:21, memory use: 4.6 MB
03/10/22 01:52:26, lanczos halted after 547 iterations (dim = 34480)
03/10/22 01:52:26, recovered 15 nontrivial dependencies
03/10/22 01:52:26, prp46 = 4275521815387077932493117289719552495497995511
03/10/22 01:52:26, prp34 = 1259342256869937172101006069515329
03/10/22 01:52:26, Lanczos elapsed time = 10.6940 seconds.
03/10/22 01:52:26, Sqrt elapsed time = 0.1090 seconds.
03/10/22 01:52:26, SIQS elapsed time = 35.6844 seconds.

388225121523072729998208454606846498626308836366977845324742076767613642776075541190433071<90>

160892613090906744420809793811605106824059<42>
2412945591875742000512110271715158131242903247069<49>

prp49 = 2412945591875742000512110271715158131242903247069
prp42 = 160892613090906744420809793811605106824059

Yafu

114969737643400724378794773971810920001360252544340156637313180559748911686545478460933<87>

156953844977340798668563821409882651<36>
732506665637906101581029070026785883250625966565983<51>

prp36 = 156953844977340798668563821409882651
prp51 = 732506665637906101581029070026785883250625966565983

Yafu

20576936728990807251396016462854846780522570618458608745242323663127334870203161683497626422624398769<101>

47365719874871581506319151364728135156722579540607<50>
434426770739470275662289078748161307549347428028367<51>

N=20576936728990807251396016462854846780522570618458608745242323663127334870203161683497626422624398769
  ( 101 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=47365719874871581506319151364728135156722579540607 (pp50)
 r2=434426770739470275662289078748161307549347428028367 (pp51)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.76 hours.
Scaled time: 5.97 units (timescale=7.819).
Factorization parameters were as follows:
n: 20576936728990807251396016462854846780522570618458608745242323663127334870203161683497626422624398769
m: 100000000000000000000000000000
deg: 4
c4: 982
c0: -1
skew: 0.18
# Murphy_E = 5.507e-08
type: snfs
lss: 1
rlim: 670000
alim: 670000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 670000/670000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [335000, 535001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 56821 x 57050
Total sieving time: 0.76 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,118.000,4,0,0,0,0,0,0,0,0,670000,670000,25,25,45,45,2.2,2.2,50000
total time: 0.76 hours.

GNFS, Msieve

104915916388453056820565515305176741219893668234345407196234609616072395697399862947699524431793311873895684972342947597<120>

151108449128311119293537158069014227022449276621821<51>
694308736498020211333272220736453951823116510622701010744937199307857<69>

p51 factor: 151108449128311119293537158069014227022449276621821
p69 factor: 694308736498020211333272220736453951823116510622701010744937199307857

GNFS, Msieve

315339603434123562416000129115224198699023305766564544823502378389967642106110030467900463551623927152151739587<111>

857538576140835089795798582339014089970212878179<48>
367726434947382211911008735033296008678156440805180573026865953<63>

N=315339603434123562416000129115224198699023305766564544823502378389967642106110030467900463551623927152151739587
  ( 111 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=857538576140835089795798582339014089970212878179 (pp48)
 r2=367726434947382211911008735033296008678156440805180573026865953 (pp63)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.70 hours.
Scaled time: 21.15 units (timescale=7.837).
Factorization parameters were as follows:
n: 315339603434123562416000129115224198699023305766564544823502378389967642106110030467900463551623927152151739587
m: 1000000000000000000000000000000000
deg: 4
c4: 491
c0: -5
skew: 0.32
# Murphy_E = 7.712e-09
type: snfs
lss: 1
rlim: 1230000
alim: 1230000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1230000/1230000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [615000, 1315001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 190458 x 190684
Total sieving time: 2.67 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,134.000,4,0,0,0,0,0,0,0,0,1230000,1230000,26,26,47,47,2.3,2.3,100000
total time: 2.70 hours.

GNFS, Msieve

29137219284550615175964514533463821719847606413970668440166152540751241204623179111127732381704357783200387998269183<116>

125226941482247449026678125058467421930634507948501<51>
232675324811643632931156767951207249188428526463393888373133943683<66>

Thu Mar 10 19:50:27 2022  Msieve v. 1.53 (SVN unknown)
Thu Mar 10 19:50:27 2022  random seeds: 975fd630 acde06c6
Thu Mar 10 19:50:27 2022  factoring 29137219284550615175964514533463821719847606413970668440166152540751241204623179111127732381704357783200387998269183 (116 digits)
Thu Mar 10 19:50:28 2022  searching for 15-digit factors
Thu Mar 10 19:50:29 2022  commencing number field sieve (116-digit input)
Thu Mar 10 19:50:29 2022  R0: -1000000000000000000000000000000000
Thu Mar 10 19:50:29 2022  R1: 1
Thu Mar 10 19:50:29 2022  A0: -1
Thu Mar 10 19:50:29 2022  A1: 0
Thu Mar 10 19:50:29 2022  A2: 0
Thu Mar 10 19:50:29 2022  A3: 0
Thu Mar 10 19:50:29 2022  A4: 98200
Thu Mar 10 19:50:29 2022  skew 0.06, size 1.840e-14, alpha -0.110, combined = 5.361e-09 rroots = 2
Thu Mar 10 19:50:29 2022  
Thu Mar 10 19:50:29 2022  commencing square root phase
Thu Mar 10 19:50:29 2022  reading relations for dependency 1
Thu Mar 10 19:50:29 2022  read 103753 cycles
Thu Mar 10 19:50:29 2022  cycles contain 330190 unique relations
Thu Mar 10 19:50:33 2022  read 330190 relations
Thu Mar 10 19:50:35 2022  multiplying 330190 relations
Thu Mar 10 19:50:42 2022  multiply complete, coefficients have about 11.47 million bits
Thu Mar 10 19:50:42 2022  initial square root is modulo 3906953
Thu Mar 10 19:50:53 2022  GCD is 1, no factor found
Thu Mar 10 19:50:53 2022  reading relations for dependency 2
Thu Mar 10 19:50:53 2022  read 103977 cycles
Thu Mar 10 19:50:53 2022  cycles contain 329796 unique relations
Thu Mar 10 19:50:57 2022  read 329796 relations
Thu Mar 10 19:50:58 2022  multiplying 329796 relations
Thu Mar 10 19:51:05 2022  multiply complete, coefficients have about 11.46 million bits
Thu Mar 10 19:51:06 2022  initial square root is modulo 3840689
Thu Mar 10 19:51:16 2022  sqrtTime: 47
Thu Mar 10 19:51:17 2022  p51 factor: 125226941482247449026678125058467421930634507948501
Thu Mar 10 19:51:17 2022  p66 factor: 232675324811643632931156767951207249188428526463393888373133943683
Thu Mar 10 19:51:17 2022  elapsed time 00:00:50
Thu Mar 10 19:51:17 2022 -> Computing 1.64691e+09 scale for this machine...
Thu Mar 10 19:51:17 2022 -> procrels -speedtest> PIPE
Thu Mar 10 19:51:20 2022 -> Factorization summary written to s137-54555_135.txt

47619052810624989358494046713879311158990054906681848641565223702088426761205673101347371792523<95>

2098973404813061493248961728778156441437<40>
22686830000528773484725287608981046841126192917546787079<56>

03/10/22 02:12:13, starting SIQS on c95: 47619052810624989358494046713879311158990054906681848641565223702088426761205673101347371792523
03/10/22 02:12:13, random seed: 6100669583624593055
03/10/22 02:12:16, ==== sieve params ====
03/10/22 02:12:16, n = 96 digits, 317 bits
03/10/22 02:12:16, factor base: 92928 primes (max prime = 2535437)
03/10/22 02:12:16, single large prime cutoff: 329606810 (130 * pmax)
03/10/22 02:12:16, double large prime range from 6428440780969 to 5731825044445082
03/10/22 02:12:16, DLP MFB = 1.85
03/10/22 02:12:16, allocating 8 large prime slices of factor base
03/10/22 02:12:16, buckets hold 2048 elements
03/10/22 02:12:16, large prime hashtables have 1310720 bytes
03/10/22 02:12:16, using AVX2 enabled 32k sieve core
03/10/22 02:12:16, sieve interval: 10 blocks of size 32768
03/10/22 02:12:16, polynomial A has ~ 12 factors
03/10/22 02:12:16, using multiplier of 3
03/10/22 02:12:16, using multiplier of 3
03/10/22 02:12:16, using Q2(x) polynomials for kN mod 8 = 1
03/10/22 02:12:16, using SPV correction of 19 bits, starting at offset 30
03/10/22 02:12:16, trial factoring cutoff at 95 bits
03/10/22 02:12:16, ==== sieving started ( 8 threads) ====
03/10/22 02:23:11, trial division touched 141137721 sieve locations out of 1152475463680
03/10/22 02:23:11, total reports = 141137721, total surviving reports = 54873758
03/10/22 02:23:11, total blocks sieved = 35170760, avg surviving reports per block = 1.56
03/10/22 02:23:11, dlp-ecm: 63 failures, 1466127 attempts, 46800338 outside range, 6256662 prp, 1175786 useful
03/10/22 02:23:11, 93813 relations found: 23888 full + 69925 from 1502529 partial, using 1758538 polys (1717 A polys)
03/10/22 02:23:11, on average, sieving found 0.87 rels/poly and 2322.24 rels/sec
03/10/22 02:23:11, trial division touched 141137721 sieve locations out of 1152475463680
03/10/22 02:23:11, ==== post processing stage (msieve-1.38) ====
03/10/22 02:23:11, QS elapsed time = 657.3048 seconds.
03/10/22 02:23:13, begin singleton removal with 1526417 relations
03/10/22 02:23:13, reduce to 244041 relations in 11 passes
03/10/22 02:23:14, failed to read relation 60849
03/10/22 02:23:16, failed to read relation 203648
03/10/22 02:23:17, recovered 244039 relations
03/10/22 02:23:17, recovered 227851 polynomials
03/10/22 02:23:17, attempting to build 93811 cycles
03/10/22 02:23:17, found 93811 cycles from 244039 relations in 6 passes
03/10/22 02:23:18, distribution of cycle lengths:
03/10/22 02:23:18,    length 1 : 23887
03/10/22 02:23:18,    length 2 : 16504
03/10/22 02:23:18,    length 3 : 15685
03/10/22 02:23:18,    length 4 : 12429
03/10/22 02:23:18,    length 5 : 9397
03/10/22 02:23:18,    length 6 : 6281
03/10/22 02:23:18,    length 7 : 3979
03/10/22 02:23:18,    length 9+: 5649
03/10/22 02:23:18, largest cycle: 23 relations
03/10/22 02:23:18, matrix is 92928 x 93811 (26.9 MB) with weight 6301633 (67.17/col)
03/10/22 02:23:18, sparse part has weight 6301633 (67.17/col)
03/10/22 02:23:19, filtering completed in 3 passes
03/10/22 02:23:19, matrix is 87678 x 87741 (25.1 MB) with weight 5879778 (67.01/col)
03/10/22 02:23:19, sparse part has weight 5879778 (67.01/col)
03/10/22 02:23:20, saving the first 48 matrix rows for later
03/10/22 02:23:20, matrix is 87630 x 87741 (21.9 MB) with weight 5248830 (59.82/col)
03/10/22 02:23:20, sparse part has weight 4867776 (55.48/col)
03/10/22 02:23:20, matrix includes 64 packed rows
03/10/22 02:23:20, using block size 35096 for processor cache size 12288 kB
03/10/22 02:23:21, commencing Lanczos iteration
03/10/22 02:23:21, memory use: 17.1 MB
03/10/22 02:23:41, lanczos halted after 1387 iterations (dim = 87630)
03/10/22 02:23:41, recovered 17 nontrivial dependencies
03/10/22 02:23:42, prp56 = 22686830000528773484725287608981046841126192917546787079
03/10/22 02:23:42, prp40 = 2098973404813061493248961728778156441437
03/10/22 02:23:42, Lanczos elapsed time = 30.0260 seconds.
03/10/22 02:23:42, Sqrt elapsed time = 0.3630 seconds.
03/10/22 02:23:42, SIQS elapsed time = 687.6906 seconds.
03/10/22 02:23:42, 

155873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873<138>

11875116242918125662597348504220899247304789<44>
55772354474386527652303153742619374970542316691<47>
235349938868416645636592980854721301973140780527<48>

N=155873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873
  ( 138 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=11875116242918125662597348504220899247304789 (pp44)
 r2=55772354474386527652303153742619374970542316691 (pp47)
 r3=235349938868416645636592980854721301973140780527 (pp48)
Version: Msieve v. 1.52 (SVN 927)
Total time: 4.21 hours.
Scaled time: 33.27 units (timescale=7.899).
Factorization parameters were as follows:
n: 155873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873
m: 10000000000000000000000000000000000
deg: 4
c4: 982
c0: -1
skew: 0.18
# Murphy_E = 5.896e-09
type: snfs
lss: 1
rlim: 1450000
alim: 1450000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1450000/1450000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [725000, 1125001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 182607 x 182834
Total sieving time: 4.18 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,138.000,4,0,0,0,0,0,0,0,0,1450000,1450000,26,26,48,48,2.3,2.3,100000
total time: 4.21 hours.

GNFS, Msieve

3637037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037<139>

798192654706404511635784363910221884253<39>
4556590461703548799151274138779995574948437113918115800922882098429057902338939013091084158401022929<100>

N=3637037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037
  ( 139 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=798192654706404511635784363910221884253 (pp39)
 r2=4556590461703548799151274138779995574948437113918115800922882098429057902338939013091084158401022929 (pp100)
Version: Msieve v. 1.52 (SVN 927)
Total time: 7.51 hours.
Scaled time: 59.12 units (timescale=7.868).
Factorization parameters were as follows:
n: 3637037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037
m: 10000000000000000000000000000000000
deg: 4
c4: 9820
c0: -1
skew: 0.10
# Murphy_E = 3.077e-09
type: snfs
lss: 1
rlim: 1510000
alim: 1510000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1510000/1510000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [755000, 1555001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 238412 x 238637
Total sieving time: 7.48 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,139.000,4,0,0,0,0,0,0,0,0,1510000,1510000,26,26,48,48,2.3,2.3,100000
total time: 7.51 hours.

GNFS, Msieve

19463821942751232166117801059604797873890697400032000386409588339953830470515615137858444275696279495608817773110012361713145011885237<134>

2687378230001301730416260771450847697<37>
345366481604906919365907367123438982384849<42>
20971000084608481196909671470589404607734298091173831829<56>

N=19463821942751232166117801059604797873890697400032000386409588339953830470515615137858444275696279495608817773110012361713145011885237
  ( 134 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=2687378230001301730416260771450847697 (pp37)
 r2=345366481604906919365907367123438982384849 (pp42)
 r3=20971000084608481196909671470589404607734298091173831829 (pp56)
Version: Msieve v. 1.52 (SVN 927)
Total time: 6.19 hours.
Scaled time: 48.27 units (timescale=7.794).
Factorization parameters were as follows:
n: 19463821942751232166117801059604797873890697400032000386409588339953830470515615137858444275696279495608817773110012361713145011885237
m: 100000000000000000000000000000000000
deg: 4
c4: 982
c0: -1
skew: 0.18
# Murphy_E = 3.717e-09
type: snfs
lss: 1
rlim: 1690000
alim: 1690000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1690000/1690000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [845000, 1445001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 219507 x 219735
Total sieving time: 6.15 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,142.000,4,0,0,0,0,0,0,0,0,1690000,1690000,26,26,48,48,2.3,2.3,100000
total time: 6.19 hours.

GNFS, Msieve

515391081350477675948151510261454799023903875091706941304403287789923950057176657320715950849598317469601097747314281067518525199708402013<138>

238647215139624010238208722533889014528028146489175026598755225196789<69>
2159635850135274605647760567290226598288350173568142953122967296169417<70>

N=515391081350477675948151510261454799023903875091706941304403287789923950057176657320715950849598317469601097747314281067518525199708402013
  ( 138 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=238647215139624010238208722533889014528028146489175026598755225196789 (pp69)
 r2=2159635850135274605647760567290226598288350173568142953122967296169417 (pp70)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.69 hours.
Scaled time: 68.34 units (timescale=7.868).
Factorization parameters were as follows:
n: 515391081350477675948151510261454799023903875091706941304403287789923950057176657320715950849598317469601097747314281067518525199708402013
m: 1000000000000000000000000000000000000
deg: 4
c4: 491
c0: -5
skew: 0.32
# Murphy_E = 1.937e-09
type: snfs
lss: 1
rlim: 1950000
alim: 1950000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1950000/1950000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [975000, 1875001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 323453 x 323678
Total sieving time: 8.63 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,146.000,4,0,0,0,0,0,0,0,0,1950000,1950000,26,26,49,49,2.3,2.3,100000
total time: 8.69 hours.

GNFS, Msieve

100935347928872443211018604173090759584746633775310926097235070408058382156439510741083359029705005653201767910371055606948298900195292424709631<144>

913305453390607507886981926453717854387481<42>
224469026018692236579360147780789907199374694033<48>
492346450632531454777826401028092251818253677283478247<54>

Number: n
N=100935347928872443211018604173090759584746633775310926097235070408058382156439510741083359029705005653201767910371055606948298900195292424709631  ( 144 digits)
SNFS difficulty: 146 digits.
Divisors found:

Sat Mar 12 00:58:27 2022  found factor: 913305453390607507886981926453717854387481
Sat Mar 12 00:58:36 2022  found factor: 913305453390607507886981926453717854387481
Sat Mar 12 00:58:44 2022  p42 factor: 913305453390607507886981926453717854387481
Sat Mar 12 00:58:44 2022  p48 factor: 224469026018692236579360147780789907199374694033
Sat Mar 12 00:58:44 2022  p54 factor: 492346450632531454777826401028092251818253677283478247
Sat Mar 12 00:58:44 2022  elapsed time 00:04:09 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.323).
Factorization parameters were as follows:
#
# N = 491x10^145-5 = 545(145)
#
n: 100935347928872443211018604173090759584746633775310926097235070408058382156439510741083359029705005653201767910371055606948298900195292424709631
m: 1000000000000000000000000000000000000
deg: 4
c4: 982
c0: -1
skew: 0.18
# Murphy_E = 2.333e-09
type: snfs
lss: 1
rlim: 1970000
alim: 1970000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1970000/1970000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6631129)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1128552 hash collisions in 10984605 relations (10627175 unique)
Msieve: matrix is 454495 x 454743 (48.6 MB)

Sieving start time : 2022/03/12 00:15:56
Sieving end time  : 2022/03/12 00:36:43

Total sieving time: 0hrs 20min 47secs.

Total relation processing time: 0hrs 1min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 25sec.

Prototype def-par.txt line would be:
snfs,146,4,0,0,0,0,0,0,0,0,1970000,1970000,26,26,49,49,2.3,2.3,100000
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)

201668426138906392342069131511895473180083281762805602972404256939183561460459786897014819311307748308845275785516232673728271<126>

941348967374994453144261737668892160640626612045379<51>
214233438531589785251977451483827657102850020656478746007666460324304129349<75>

N=201668426138906392342069131511895473180083281762805602972404256939183561460459786897014819311307748308845275785516232673728271
  ( 126 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=941348967374994453144261737668892160640626612045379 (pp51)
 r2=214233438531589785251977451483827657102850020656478746007666460324304129349 (pp75)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.74 hours.
Scaled time: 44.98 units (timescale=7.837).
Factorization parameters were as follows:
n: 201668426138906392342069131511895473180083281762805602972404256939183561460459786897014819311307748308845275785516232673728271
m: 100000000000000000000000000000
deg: 5
c5: 982
c0: -1
skew: 0.25
# Murphy_E = 1.681e-09
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 2300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 320775 x 321000
Total sieving time: 5.69 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,147.000,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 5.74 hours.

GNFS, Msieve

115346988013327390601045583170931222266455765942295824329781810370909209144499944946525152293929239423785648868017113<117>

352291750107696923152420252790916677112433509265804379111<57>
327418930412265910892855557838096888471470467652729021841983<60>

N=115346988013327390601045583170931222266455765942295824329781810370909209144499944946525152293929239423785648868017113
  ( 117 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=352291750107696923152420252790916677112433509265804379111 (pp57)
 r2=327418930412265910892855557838096888471470467652729021841983 (pp60)
Version: Msieve v. 1.52 (SVN 927)
Total time: 11.92 hours.
Scaled time: 93.46 units (timescale=7.843).
Factorization parameters were as follows:
n: 115346988013327390601045583170931222266455765942295824329781810370909209144499944946525152293929239423785648868017113
m: 1000000000000000000000000000000
deg: 5
c5: 9820
c0: -1
skew: 0.16
# Murphy_E = 8.079e-10
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 485833 x 486061
Total sieving time: 11.83 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,153.000,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 11.92 hours.

GNFS, Msieve

9451438746365191649505377976395008439219974381059104855262322964880677209029934337797267198854525970611847084588496790630046207182198178470428141<145>

49521791059372818649484674764922488696802193963593<50>
190854138030541817918384704895498177902761108187348256402852986492359511960457467130816018466437<96>

N=9451438746365191649505377976395008439219974381059104855262322964880677209029934337797267198854525970611847084588496790630046207182198178470428141
  ( 145 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=49521791059372818649484674764922488696802193963593 (pp50)
 r2=190854138030541817918384704895498177902761108187348256402852986492359511960457467130816018466437 (pp96)
Version: Msieve v. 1.52 (SVN 927)
Total time: 16.75 hours.
Scaled time: 131.15 units (timescale=7.831).
Factorization parameters were as follows:
n: 9451438746365191649505377976395008439219974381059104855262322964880677209029934337797267198854525970611847084588496790630046207182198178470428141
m: 100000000000000000000000000000000000000
deg: 4
c4: 982
c0: -1
skew: 0.18
# Murphy_E = 9.075e-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, 2850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 478366 x 478599
Total sieving time: 16.66 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,154.000,4,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 16.75 hours.

GNFS, Msieve

494430956285059861997869440417178789171049751801868586494215202906804765125052635403170603011764586201184952999<111>

29453593379547750449526322517617989795165815846615561<53>
16786778778184235092954363643897621910811677189977965830959<59>

N=494430956285059861997869440417178789171049751801868586494215202906804765125052635403170603011764586201184952999
  ( 111 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=29453593379547750449526322517617989795165815846615561 (pp53)
 r2=16786778778184235092954363643897621910811677189977965830959 (pp59)
Version: Msieve v. 1.52 (SVN 927)
Total time: 14.36 hours.
Scaled time: 112.46 units (timescale=7.831).
Factorization parameters were as follows:
n: 494430956285059861997869440417178789171049751801868586494215202906804765125052635403170603011764586201184952999
m: 2000000000000000000000000000000
deg: 5
c5: 61375
c0: -2
skew: 0.13
# Murphy_E = 6.607e-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, 2600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 460165 x 460390
Total sieving time: 14.25 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 14.36 hours.

GNFS, Msieve

57522547893916262238204037682393467260362548484239255748916996022933610497251343908417414023278626076898889036231349466915014849939521663937<140>

2038991524338530313653980809811060984960092452427888122716851200719<67>
28211273665091454747892487431284741014499551438102866248508562095110464623<74>

N=57522547893916262238204037682393467260362548484239255748916996022933610497251343908417414023278626076898889036231349466915014849939521663937
  ( 140 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=2038991524338530313653980809811060984960092452427888122716851200719 (pp67)
 r2=28211273665091454747892487431284741014499551438102866248508562095110464623 (pp74)
Version: Msieve v. 1.52 (SVN 927)
Total time: 18.80 hours.
Scaled time: 148.40 units (timescale=7.893).
Factorization parameters were as follows:
n: 57522547893916262238204037682393467260362548484239255748916996022933610497251343908417414023278626076898889036231349466915014849939521663937
m: 100000000000000000000000000000000
deg: 5
c5: 491
c0: -5
skew: 0.40
# Murphy_E = 4.554e-10
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1800000, 3300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 636955 x 637183
Total sieving time: 18.68 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,162.000,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 18.80 hours.

GNFS, Msieve

80858850608648834660257874113923704801669387281835999132296852098144272517155413880942518854318757<98>

36896031079275523110512223346651087<35>
2191532483125731075160516347316322867644101536792709664906606411<64>

80858850608648834660257874113923704801669387281835999132296852098144272517155413880942518854318757=36896031079275523110512223346651087*219153248312573107516051634731632286764410153679270966490660641

cado polynomial
n: 80858850608648834660257874113923704801669387281835999132296852098144272517155413880942518854318757
skew: 395843.157
c0: 446590289407641727485527670
c1: 149534243093065797499
c2: 3480907164212509
c3: -27520622028
c4: -21600
Y0: -386964090461839458623684
Y1: 519716041736821
# MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=2.206e+12) = 3.181e-06
# f(x) = -21600*x^4-27520622028*x^3+3480907164212509*x^2+149534243093065797499*x+446590289407641727485527670
# g(x) = 519716041736821*x-386964090461839458623684

cado parameters (extracts)
tasks.lim0 = 919082
tasks.lim1 = 1051872
tasks.lpb0 = 24
tasks.lpb1 = 25
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 50
tasks.I = 11
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 36896031079275523110512223346651087 2191532483125731075160516347316322867644101536792709664906606411
Info:Square Root: Total cpu/real time for sqrt: 33.64/10.5043
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 19.21/18.2144
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 13.600000000000001s
Info:Square Root: Total cpu/real time for sqrt: 33.64/10.5043
Info:Filtering - Singleton removal: Total cpu/real time for purge: 10.76/10.6316
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2392753
Info:Lattice Sieving: Average J: 1019.43 for 71076 special-q, max bucket fill -bkmult 1.0,1s:1.306770
Info:Lattice Sieving: Total time: 2885.07s
Info:Generate Factor Base: Total cpu/real time for makefb: 0.78/0.216645
Info:Linear Algebra: Total cpu/real time for bwc: 367.9/96.61
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 213.85, WCT time 55.14, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (5248 iterations)
Info:Linear Algebra: Lingen CPU time 22.05, WCT time 5.63
Info:Linear Algebra: Mksol: CPU time 118.2,  WCT time 30.54, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2688 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 24.29/6.65667
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 8.85/8.429
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 8.4s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 45.6
Info:Polynomial Selection (root optimized): Rootsieve time: 45.22
Info:Filtering - Merging: Merged matrix has 165929 rows and total weight 28265105 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 33.54/9.41113
Info:Filtering - Merging: Total cpu/real time for replay: 5.57/4.53981
Info:Quadratic Characters: Total cpu/real time for characters: 5.41/2.1152
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 5781.44
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 5842/32.020/37.374/38.200/0.691
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 3358/31.960/35.901/38.170/1.014
Info:Polynomial Selection (size optimized): Total time: 104.01
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 5829.07/710.093
Info:root: Cleaning up computation data in /tmp/cado.e7k3_usv
36896031079275523110512223346651087 219153248312573107516051634731632286764410153679270966490660641

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)

404115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893<162>

1761190484073760628833134925874939746651<40>
229455717590922301197215215422382057732798937187407534073694799052109680040475058022374639301615364277145163244221726190943<123>

Number: n
N=404115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893  ( 162 digits)
SNFS difficulty: 163 digits.
Divisors found:

Sat Mar 12 03:55:54 2022  p40 factor: 1761190484073760628833134925874939746651
Sat Mar 12 03:55:54 2022  p123 factor: 229455717590922301197215215422382057732798937187407534073694799052109680040475058022374639301615364277145163244221726190943
Sat Mar 12 03:55:54 2022  elapsed time 00:10:09 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
#
# N = 91x10^162-5 = 545(162)
#
n: 404115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893
m: 100000000000000000000000000000000
deg: 5
c5: 9820
c0: -1
skew: 0.16
# Murphy_E = 3.32e-10
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2805773 hash collisions in 20500829 relations (18399543 unique)
Msieve: matrix is 673224 x 673471 (127.4 MB)

Sieving start time : 2022/03/12 02:48:55
Sieving end time  : 2022/03/12 03:45:21

Total sieving time: 0hrs 56min 26secs.

Total relation processing time: 0hrs 4min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 33sec.

Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
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)

379359197910532608486322245903540051163675771668640616540616846599017192728543547424928206751854606177606749088014215666389994600667<132>

18631157123785494527265847275775085752817<41>
20361547884013233011945565059231034453305533547533006553541148364719996889596488700593671051<92>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:347858400
Step 1 took 4797ms
Step 2 took 2985ms
********** Factor found in step 2: 18631157123785494527265847275775085752817
Found prime factor of 41 digits: 18631157123785494527265847275775085752817
Prime cofactor 20361547884013233011945565059231034453305533547533006553541148364719996889596488700593671051 has 92 digits

GMP-ECM

263375016475192212096546342155923315197373009067757999145850737136410103582394390559350088521253606167301816958307801339538282663902586530042690579131<150>

4186391706687454805185565240077175414024893<43>
10391789998809083840202807838701694007647864741<47>
6054026987706434275484355217809441133798817289438688840483787<61>

Number: n
N=263375016475192212096546342155923315197373009067757999145850737136410103582394390559350088521253606167301816958307801339538282663902586530042690579131  ( 150 digits)
SNFS difficulty: 167 digits.
Divisors found:

Sun Mar 13 10:43:43 2022  found factor: 6054026987706434275484355217809441133798817289438688840483787
Sun Mar 13 10:44:14 2022  p43 factor: 4186391706687454805185565240077175414024893
Sun Mar 13 10:44:14 2022  p47 factor: 10391789998809083840202807838701694007647864741
Sun Mar 13 10:44:14 2022  p61 factor: 6054026987706434275484355217809441133798817289438688840483787
Sun Mar 13 10:44:14 2022  elapsed time 00:10:01 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.322).
Factorization parameters were as follows:
#
# N = 491x10^165-5 = 545(165)
#
n: 263375016475192212096546342155923315197373009067757999145850737136410103582394390559350088521253606167301816958307801339538282663902586530042690579131
m: 1000000000000000000000000000000000
deg: 5
c5: 491
c0: -5
skew: 0.40
# Murphy_E = 2.901e-10
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 22200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2070161 hash collisions in 16637312 relations (15558387 unique)
Msieve: matrix is 580151 x 580380 (193.9 MB)

Sieving start time : 2022/03/13 08:25:24
Sieving end time  : 2022/03/13 10:33:25

Total sieving time: 2hrs 8min 1secs.

Total relation processing time: 0hrs 4min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 2sec.

Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
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)

4423108977260941262636483236702214915344156038480733662212028564870411691017884240209988183044107641061651914209429440943345572732301<133>

18015145812137572512272867509172571262574483<44>
245521686218098994948395074757350323892805249679711642354229053319180084683708800869745247<90>

N=4423108977260941262636483236702214915344156038480733662212028564870411691017884240209988183044107641061651914209429440943345572732301
  ( 133 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=18015145812137572512272867509172571262574483 (pp44)
 r2=245521686218098994948395074757350323892805249679711642354229053319180084683708800869745247 (pp90)
Version: Msieve v. 1.52 (SVN 927)
Total time: 27.83 hours.
Scaled time: 217.75 units (timescale=7.825).
Factorization parameters were as follows:
n: 4423108977260941262636483236702214915344156038480733662212028564870411691017884240209988183044107641061651914209429440943345572732301
m: 1000000000000000000000000000000000
deg: 5
c5: 982
c0: -1
skew: 0.25
# Murphy_E = 2.845e-10
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2200000, 4400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 795582 x 795807
Total sieving time: 27.64 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,167.000,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 27.83 hours.

GNFS, Msieve

607685565541287105858046658186867517839263951705560066192673787525991979723806292768374150865406165071107519106720778966416800476048730351127276141<147>

16528303900923601771519421389671603037243991839945805756134593168288841<71>
36766359644883443301022081596984318124605298352108725031772435194557966935301<77>

N=607685565541287105858046658186867517839263951705560066192673787525991979723806292768374150865406165071107519106720778966416800476048730351127276141
  ( 147 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=16528303900923601771519421389671603037243991839945805756134593168288841 (pp71)
 r2=36766359644883443301022081596984318124605298352108725031772435194557966935301 (pp77)
Version: Msieve v. 1.52 (SVN 927)
Total time: 46.31 hours.
Scaled time: 363.80 units (timescale=7.855).
Factorization parameters were as follows:
n: 607685565541287105858046658186867517839263951705560066192673787525991979723806292768374150865406165071107519106720778966416800476048730351127276141
m: 1000000000000000000000000000000000
deg: 5
c5: 98200
c0: -1
skew: 0.10
# Murphy_E = 1.67e-10
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2400000, 6100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1021353 x 1021578
Total sieving time: 45.88 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,169.000,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,52,52,2.4,2.4,100000
total time: 46.31 hours.

GNFS, Msieve

737327079889287642439869338291629130921141220520163701021088786407464831290592881796994555649476323291545188023854568030372356946912443112717480999013250712169381<162>

108293115595516169639643898480314168943<39>
6808623760011355295860101455792472710513207232847388895137067131154558259512552090039200265121023513619678702984239378311467<124>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3292006203
Step 1 took 7078ms
Step 2 took 3828ms
********** Factor found in step 2: 108293115595516169639643898480314168943
Found prime factor of 39 digits: 108293115595516169639643898480314168943
Prime cofactor 6808623760011355295860101455792472710513207232847388895137067131154558259512552090039200265121023513619678702984239378311467 has 124 digits

GMP-ECM

1171357956296746239724096182420323087010888280572459794526758537000807311106730928950545074588298364097604949244219587446628840215876415420259237<145>

243520785460566981830349533305265531<36>
4810094358398916949767205306707110691483202062313743049422233545364208304187108956824431214352012003286552927<109>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2349921408
Step 1 took 5781ms
Step 2 took 3282ms
********** Factor found in step 2: 243520785460566981830349533305265531
Found prime factor of 36 digits: 243520785460566981830349533305265531
Prime cofactor 4810094358398916949767205306707110691483202062313743049422233545364208304187108956824431214352012003286552927 has 109 digits

GMP-ECM

23221179879620015567101817929700397430225523060272867878343144450711305752280249048463103521177011220064944861695841137775858949<128>

20182567996968739223177873850429900951486518437935115846340213<62>
1150556256424239552604401763249144347775403241855612162339917281873<67>

Number: n
N=23221179879620015567101817929700397430225523060272867878343144450711305752280249048463103521177011220064944861695841137775858949  ( 128 digits)
SNFS difficulty: 175 digits.
Divisors found:

Thu May 12 22:14:09 2022  p62 factor: 20182567996968739223177873850429900951486518437935115846340213
Thu May 12 22:14:09 2022  p67 factor: 1150556256424239552604401763249144347775403241855612162339917281873
Thu May 12 22:14:09 2022  elapsed time 00:20:17 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 491x10^174-5 = 545(174)
#
n: 23221179879620015567101817929700397430225523060272867878343144450711305752280249048463103521177011220064944861695841137775858949
m: 10000000000000000000000000000000000
deg: 5
c5: 982000
c0: -1
skew: 0.06
# Murphy_E = 1.088e-10
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 30200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4136004 hash collisions in 28949711 relations (26251034 unique)
Msieve: matrix is 902910 x 903136 (306.2 MB)

Sieving start time : 2022/05/12 18:16:52
Sieving end time  : 2022/05/12 21:52:49

Total sieving time: 3hrs 35min 57secs.

Total relation processing time: 0hrs 12min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 6sec.

Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] 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)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

379355907849920427357462729500763572496766170229754804452050950701547915930909601620476196874192871413755926413450676832318385743515529033968152149106226507984851753197<168>

95816603059504580972740242142709778668518878271946084452271<59>
3959187611924946113122009796199067244095900781821335579522407094798273291018361166442675293528624391877686307<109>

Number: n
N=379355907849920427357462729500763572496766170229754804452050950701547915930909601620476196874192871413755926413450676832318385743515529033968152149106226507984851753197  ( 168 digits)
SNFS difficulty: 177 digits.
Divisors found:

Tue Mar 15 01:13:58 2022  p59 factor: 95816603059504580972740242142709778668518878271946084452271
Tue Mar 15 01:13:58 2022  p109 factor: 3959187611924946113122009796199067244095900781821335579522407094798273291018361166442675293528624391877686307
Tue Mar 15 01:13:58 2022  elapsed time 00:21:20 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.288).
Factorization parameters were as follows:
#
# N = 91x10^176-5 = 545(176)
#
n: 379355907849920427357462729500763572496766170229754804452050950701547915930909601620476196874192871413755926413450676832318385743515529033968152149106226507984851753197
m: 100000000000000000000000000000000000
deg: 5
c5: 982
c0: -1
skew: 0.25
# Murphy_E = 1.137e-10
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 30450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4463948 hash collisions in 34944255 relations (31697971 unique)
Msieve: matrix is 878004 x 878230 (294.7 MB)

Sieving start time : 2022/03/14 21:48:41
Sieving end time  : 2022/03/15 00:51:37

Total sieving time: 3hrs 2min 56secs.

Total relation processing time: 0hrs 12min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 53sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,53,53,2.5,2.5,100000
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)

74864890134812537831755805546942711184000869877122452550558646259952223942542673166759257092454900295865103525176502677717270325907685724055644053923139221<155>

200587472923772513634555225647671371773953<42>
373228143530492460284031220787095693522030002252792788178261791775944703317793297742298782028325657965178966046357<114>

Number: n
N=74864890134812537831755805546942711184000869877122452550558646259952223942542673166759257092454900295865103525176502677717270325907685724055644053923139221  ( 155 digits)
SNFS difficulty: 178 digits.
Divisors found:

Mon Mar 28 12:16:43 2022  p42 factor: 200587472923772513634555225647671371773953
Mon Mar 28 12:16:43 2022  p114 factor: 373228143530492460284031220787095693522030002252792788178261791775944703317793297742298782028325657965178966046357
Mon Mar 28 12:16:43 2022  elapsed time 00:29:39 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 491x10^177-5 = 545(177)
#
n: 74864890134812537831755805546942711184000869877122452550558646259952223942542673166759257092454900295865103525176502677717270325907685724055644053923139221
m: 100000000000000000000000000000000000
deg: 5
c5: 9820
c0: -1
skew: 0.16
# Murphy_E = 8.437e-11
type: snfs
lss: 1
rlim: 6700000
alim: 6700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 30550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5753508 hash collisions in 36477887 relations (31730340 unique)
Msieve: matrix is 999279 x 999506 (335.6 MB)

Sieving start time : 2022/03/28 08:45:04
Sieving end time  : 2022/03/28 11:46:28

Total sieving time: 3hrs 1min 24secs.

Total relation processing time: 0hrs 15min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 35sec.

Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6700000,6700000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116282] 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, 9500K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153500] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.152037] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

1212345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679<181>

447614980271136924290660095596119852702065908302501051<54>
2708456446828439764111721095435024583355905359536064443203678233272597673591394832333319934794318547926547421525452308791855229<127>

Number: n
N=1212345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679  ( 181 digits)
SNFS difficulty: 182 digits.
Divisors found:

Sun Mar 13 15:48:39 2022  p54 factor: 447614980271136924290660095596119852702065908302501051
Sun Mar 13 15:48:39 2022  p127 factor: 2708456446828439764111721095435024583355905359536064443203678233272597673591394832333319934794318547926547421525452308791855229
Sun Mar 13 15:48:39 2022  elapsed time 00:21:57 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.298).
Factorization parameters were as follows:
#
# N = 491x10^180-5 = 545(180)
#
n: 1212345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679
m: 1000000000000000000000000000000000000
deg: 5
c5: 491
c0: -5
skew: 0.40
# Murphy_E = 7.289e-11
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4337386 hash collisions in 34432393 relations (32141604 unique)
Msieve: matrix is 868968 x 869194 (293.4 MB)

Sieving start time : 2022/03/13 11:40:02
Sieving end time  : 2022/03/13 15:25:25

Total sieving time: 3hrs 45min 23secs.

Total relation processing time: 0hrs 11min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 44sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000
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)

4655278985532556244016253946351360383052695830702398784149745140042796923686866202722236905038509883332177603507535763534133322905242680352384270533120673<154>

11139168376721110632684445932279219708821778179<47>
417919796890876069370667277893823699791189051109694399427265787724575604604592116044354598042284889332302987<108>

Number: n
N=4655278985532556244016253946351360383052695830702398784149745140042796923686866202722236905038509883332177603507535763534133322905242680352384270533120673  ( 154 digits)
SNFS difficulty: 184 digits.
Divisors found:

Tue Mar 29 19:14:11 2022  p47 factor: 11139168376721110632684445932279219708821778179
Tue Mar 29 19:14:11 2022  p108 factor: 417919796890876069370667277893823699791189051109694399427265787724575604604592116044354598042284889332302987
Tue Mar 29 19:14:11 2022  elapsed time 00:30:33 (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 = 491x10^183-5 = 545(183)
#
n: 4655278985532556244016253946351360383052695830702398784149745140042796923686866202722236905038509883332177603507535763534133322905242680352384270533120673
m: 1000000000000000000000000000000000000
deg: 5
c5: 98200
c0: -1
skew: 0.10
# Murphy_E = 4.18e-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 3878033 hash collisions in 30606863 relations (28443490 unique)
Msieve: matrix is 1126282 x 1126509 (388.9 MB)

Sieving start time : 2022/03/29 14:06:45
Sieving end time  : 2022/03/29 18:43:05

Total sieving time: 4hrs 36min 20secs.

Total relation processing time: 0hrs 21min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 32sec.

Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,8500000,8500000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116282] 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, 9500K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153500] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.152037] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

81291949274154781030366351027080732425562195501839954695052954420133846946133818634681016434136095471516898667432897096892304806398918138262042694498645975796025750839182090406747<179>

227130089979647479205061635468403901157<39>

357909202085197674638816610166166463997740121177654121171684655917776289207886371095698879618237397291366106379870991960722800991731629207871<141>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3063689679
Step 1 took 8484ms
Step 2 took 4079ms
********** Factor found in step 2: 227130089979647479205061635468403901157
Found prime factor of 39 digits: 227130089979647479205061635468403901157
Composite cofactor 357909202085197674638816610166166463997740121177654121171684655917776289207886371095698879618237397291366106379870991960722800991731629207871 has 141 digits
 

GMP-ECM

357909202085197674638816610166166463997740121177654121171684655917776289207886371095698879618237397291366106379870991960722800991731629207871<141>

13295643844303506614553329674288530717199613953136905797468429261191<68>
26919283208578364061507926244230969134623707618495036472513763608192825481<74>

357909202085197674638816610166166463997740121177654121171684655917776289207886371095698879618237397291366106379870991960722800991731629207871=13295643844303506614553329674288530717199613953136905797468429261191*26919283208578364061507926244230969134623707618495036472513763608192825481

cado polynomial
n: 357909202085197674638816610166166463997740121177654121171684655917776289207886371095698879618237397291366106379870991960722800991731629207871
skew: 0.06
type: snfs
c0: -1
c5: 982000
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 982000*x^5-1
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 8800000
tasks.lim1 = 8800000
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: 26919283208578364061507926244230969134623707618495036472513763608192825481 13295643844303506614553329674288530717199613953136905797468429261191
Info:Square Root: Total cpu/real time for sqrt: 612.11/191.69
Info:Square Root: Total cpu/real time for sqrt: 612.11/191.69
Info:Generate Free Relations: Total cpu/real time for freerel: 119.14/32.5471
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 103.2/119.048
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 118.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 400.12/394.723
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 320.0s
Info:Linear Algebra: Total cpu/real time for bwc: 56877/14698.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 36381.02, WCT time 9337.22, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (57600 iterations)
Info:Linear Algebra: Lingen CPU time 371.42, WCT time 94.59
Info:Linear Algebra: Mksol: CPU time 19779.91,  WCT time 5111.42, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (28928 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 3.82/2.12516
Info:Filtering - Merging: Merged matrix has 1838375 rows and total weight 314924370 (171.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 486.21/135.284
Info:Filtering - Merging: Total cpu/real time for replay: 71.24/61.1349
Info:Filtering - Singleton removal: Total cpu/real time for purge: 279.83/331.239
Info:Quadratic Characters: Total cpu/real time for characters: 65.88/27.783
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24500907
Info:Lattice Sieving: Average J: 1902.12 for 1793760 special-q, max bucket fill -bkmult 1.0,1s:1.144250
Info:Lattice Sieving: Total time: 317995s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 650263/136420
26919283208578364061507926244230969134623707618495036472513763608192825481 13295643844303506614553329674288530717199613953136905797468429261191

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)

89367290014906205178631626662692409376344403547852964936303562557815372026598720143356786681981726846274303614986622507632891309118887919420975566584647<152>

3533695200617423217930934594691742337092123984420653880603449<61>
25290039163335747751194134818642919811149711348129536813045519586970894496693511958455640703<92>

Number: n
N=89367290014906205178631626662692409376344403547852964936303562557815372026598720143356786681981726846274303614986622507632891309118887919420975566584647  ( 152 digits)
SNFS difficulty: 187 digits.
Divisors found:

Thu Mar 31 17:35:22 2022  p61 factor: 3533695200617423217930934594691742337092123984420653880603449
Thu Mar 31 17:35:22 2022  p92 factor: 25290039163335747751194134818642919811149711348129536813045519586970894496693511958455640703
Thu Mar 31 17:35:22 2022  elapsed time 00:30:28 (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 = 491x10^186-5 = 545(186)
#
n: 89367290014906205178631626662692409376344403547852964936303562557815372026598720143356786681981726846274303614986622507632891309118887919420975566584647
m: 10000000000000000000000000000000000000
deg: 5
c5: 982
c0: -1
skew: 0.25
# Murphy_E = 4.464e-11
type: snfs
lss: 1
rlim: 9500000
alim: 9500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9500000/9500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3860991 hash collisions in 32397596 relations (30474002 unique)
Msieve: matrix is 1123904 x 1124129 (382.1 MB)

Sieving start time : 2022/03/31 12:58:19
Sieving end time  : 2022/03/31 17:04:19

Total relation processing time: 0hrs 20min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 21sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9500000,9500000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116282] 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, 9500K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153500] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.152037] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)
Total sieving time: 4hrs 6min 0secs.

29386656888089750705425001933119465116742538744325297244072672171968111301565505314078624001770545815974755870632762728262602140508860608822007098846131637372803813<164>

148194157449738045154221632512708955407<39>
198298349906652786999551876845989331684349272444746242025162793987109740975760125137065973546039085599296355664345750457696459<126>

Number: n
N=29386656888089750705425001933119465116742538744325297244072672171968111301565505314078624001770545815974755870632762728262602140508860608822007098846131637372803813  ( 164 digits)
SNFS difficulty: 188 digits.
Divisors found:

Tue Mar 29 00:29:27 2022  p39 factor: 148194157449738045154221632512708955407
Tue Mar 29 00:29:27 2022  p126 factor: 198298349906652786999551876845989331684349272444746242025162793987109740975760125137065973546039085599296355664345750457696459
Tue Mar 29 00:29:27 2022  elapsed time 00:39:16 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 491x10^187-5 = 545(187)
#
n: 29386656888089750705425001933119465116742538744325297244072672171968111301565505314078624001770545815974755870632762728262602140508860608822007098846131637372803813
m: 10000000000000000000000000000000000000
deg: 5
c5: 9820
c0: -1
skew: 0.16
# Murphy_E = 3.309e-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 3972480 hash collisions in 30679708 relations (28402102 unique)
Msieve: matrix is 1241167 x 1241392 (430.7 MB)

Sieving start time : 2022/03/28 18:32:48
Sieving end time  : 2022/03/28 23:49:38

Total sieving time: 5hrs 16min 50secs.
Total relation processing time: 0hrs 26min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 33sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9900000,9900000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116282] 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, 9500K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153500] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.152037] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

1354922475716433441424058300659129251357270255117364396366451024526267995543457044477315728397479048518602787259092683215825450090286135010750026669<148>

5599300922306732222021575990713466839707713900666747991328217282072870939<73>
241980649819808019780259939186236742026460223839875691625254980410661210071<75>

Number: n
N=1354922475716433441424058300659129251357270255117364396366451024526267995543457044477315728397479048518602787259092683215825450090286135010750026669  ( 148 digits)
SNFS difficulty: 190 digits.
Divisors found:

Tue May  3 09:37:02 2022  p73 factor: 5599300922306732222021575990713466839707713900666747991328217282072870939
Tue May  3 09:37:02 2022  p75 factor: 241980649819808019780259939186236742026460223839875691625254980410661210071
Tue May  3 09:37:02 2022  elapsed time 00:43:07 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
#
# N = 491x10^189-5 = 545(189)
#
n: 1354922475716433441424058300659129251357270255117364396366451024526267995543457044477315728397479048518602787259092683215825450090286135010750026669
m: 10000000000000000000000000000000000000
deg: 5
c5: 982000
c0: -1
skew: 0.06
# Murphy_E = 2.683e-11
type: snfs
lss: 1
rlim: 10700000
alim: 10700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10700000/10700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 18150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3884016 hash collisions in 30011322 relations (27772251 unique)
Msieve: matrix is 1328767 x 1328993 (461.9 MB)

Sieving start time : 2022/05/03 03:12:39
Sieving end time  : 2022/05/03 08:53:25

Total sieving time: 5hrs 40min 46secs.

Total relation processing time: 0hrs 31min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 9sec.

Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,10700000,10700000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] 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)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

1966769735500282052736286649235544697669839348780860708319697188489179289761422992694135233447868531803662350656676534699462833861102061382078680507478997970049741935494243<172>

702588162648013815486396330886398761<36>
2799320910969580823150894209067983100242566136202442246086977925810953863056711785438185768275614223454794855130903197187891469245704363<136>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1324344688
Step 1 took 7188ms
Step 2 took 3828ms
********** Factor found in step 2: 702588162648013815486396330886398761
Found prime factor of 36 digits: 702588162648013815486396330886398761
Prime cofactor 2799320910969580823150894209067983100242566136202442246086977925810953863056711785438185768275614223454794855130903197187891469245704363 has 136 digits

GMP-ECM

653175773499017109842740737619376458841941461790274803078450970588459584129794802961023003422868467388372378539154166814119268375844603758418883564048994627768744599609468985345439936717<186>

397490126321302604810561718275371169<36>

1643250310502144409802615816244445520175569884668023719871218974297075879082692972869124438514286052563896072740464328684877028647002104179999706322093<151>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1260476889
Step 1 took 21392ms
Step 2 took 9736ms
********** Factor found in step 2: 397490126321302604810561718275371169
Found prime factor of 36 digits: 397490126321302604810561718275371169
Composite cofactor 1643250310502144409802615816244445520175569884668023719871218974297075879082692972869124438514286052563896072740464328684877028647002104179999706322093 has 151 digits

1643250310502144409802615816244445520175569884668023719871218974297075879082692972869124438514286052563896072740464328684877028647002104179999706322093<151>

413028544665179800748404561474375409790741529<45>
3978539332757835761513538859258211039600068074169454611309989890017291046311017079655855328590590517460917<106>

Number: n
N=1643250310502144409802615816244445520175569884668023719871218974297075879082692972869124438514286052563896072740464328684877028647002104179999706322093  ( 151 digits)
SNFS difficulty: 195 digits.
Divisors found:

Thu May  5 12:15:42 2022  p45 factor: 413028544665179800748404561474375409790741529
Thu May  5 12:15:42 2022  p106 factor: 3978539332757835761513538859258211039600068074169454611309989890017291046311017079655855328590590517460917
Thu May  5 12:15:42 2022  elapsed time 01:15:35 (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 = 91x10^194-5 = 545(194)
#
n: 1643250310502144409802615816244445520175569884668023719871218974297075879082692972869124438514286052563896072740464328684877028647002104179999706322093
m: 100000000000000000000000000000000000000
deg: 5
c5: 982000
c0: -1
skew: 0.06
# Murphy_E = 1.668e-11
type: snfs
lss: 1
rlim: 12900000
alim: 12900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12900000/12900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3838698 hash collisions in 28984524 relations (26685618 unique)
Msieve: matrix is 1752946 x 1753172 (614.3 MB)

Sieving start time : 2022/05/05 03:18:09
Sieving end time  : 2022/05/05 10:59:38

Total sieving time: 7hrs 41min 29secs.

Total relation processing time: 1hrs 1min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 10sec.

Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12900000,12900000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] 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)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

2660597686201197539895418461621826654745455038066596223143406757159500392858110487956866888834701563304343114145601343845674496735213633531117071716925411146332872741065864694248015389200466011<193>

173867467836483409766786569534655402803329778538970239<54>
15302446853964661587414869527096419383544940118367754205105156507692922296117812194925777745994949009293567500633967452275317710373085363749<140>

Number: n
N=2660597686201197539895418461621826654745455038066596223143406757159500392858110487956866888834701563304343114145601343845674496735213633531117071716925411146332872741065864694248015389200466011  ( 193 digits)
SNFS difficulty: 197 digits.
Divisors found:

Fri Apr  8 23:20:08 2022  p54 factor: 173867467836483409766786569534655402803329778538970239
Fri Apr  8 23:20:08 2022  p140 factor: 15302446853964661587414869527096419383544940118367754205105156507692922296117812194925777745994949009293567500633967452275317710373085363749
Fri Apr  8 23:20:08 2022  elapsed time 01:09:48 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.334).
Factorization parameters were as follows:
#
# N = 491x10^195-5 = 545(195)
#
n: 2660597686201197539895418461621826654745455038066596223143406757159500392858110487956866888834701563304343114145601343845674496735213633531117071716925411146332872741065864694248015389200466011
m: 1000000000000000000000000000000000000000
deg: 5
c5: 491
c0: -5
skew: 0.40
# Murphy_E = 1.761e-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 3933983 hash collisions in 30150547 relations (27856677 unique)
Msieve: matrix is 1692787 x 1693012 (589.4 MB)

Sieving start time : 2022/04/08 14:50:41
Sieving end time  : 2022/04/08 22:09:48

Total sieving time: 7hrs 19min 7secs.
Total relation processing time: 0hrs 56min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 21sec.

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) ----------
[    0.118659] 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)
[    0.154096] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.11 BogoMIPS (lpj=12798228)
[    0.152007] smpboot: Total of 16 processors activated (102385.82 BogoMIPS)

24119084368371898538133904062239380530971802617707327959345805106073607382524448406880062177315064488331223527364806647913<122>

93572047946158117619876485541551134677143851327169950001<56>
257759500810008510908147848367147227878953230479504630783492297913<66>

24119084368371898538133904062239380530971802617707327959345805106073607382524448406880062177315064488331223527364806647913=93572047946158117619876485541551134677143851327169950001*257759500810008510908147848367147227878953230479504630783492297913

cado polynomial
n: 24119084368371898538133904062239380530971802617707327959345805106073607382524448406880062177315064488331223527364806647913
skew: 22805.937
c0: -413241040118765168232475560
c1: -26334372757179567378198
c2: 38340719779533324143
c3: -144883691541427
c4: -3297476418
c5: 471960
Y0: -199144350232512111302769
Y1: 582542110384339163
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.241e-06
# f(x) = 471960*x^5-3297476418*x^4-144883691541427*x^3+38340719779533324143*x^2-26334372757179567378198*x-413241040118765168232475560
# g(x) = 582542110384339163*x-199144350232512111302769

cado parameters (extracts)
tasks.lim0 = 3000000
tasks.lim1 = 5500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 93572047946158117619876485541551134677143851327169950001 257759500810008510908147848367147227878953230479504630783492297913
Info:Square Root: Total cpu/real time for sqrt: 237.75/71.3158
Info:Filtering - Singleton removal: Total cpu/real time for purge: 108.61/127.086
Info:Linear Algebra: Total cpu/real time for bwc: 5800.16/1506.69
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3541.15, WCT time 917.08, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (24320 iterations)
Info:Linear Algebra: Lingen CPU time 131.85, WCT time 33.54
Info:Linear Algebra: Mksol: CPU time 2048.39,  WCT time 528.34, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12288 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13836666
Info:Lattice Sieving: Average J: 1886.27 for 318287 special-q, max bucket fill -bkmult 1.0,1s:1.268240
Info:Lattice Sieving: Total time: 38128.4s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.15/1.38199
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2272.47
Info:Polynomial Selection (root optimized): Rootsieve time: 2270.02
Info:Generate Free Relations: Total cpu/real time for freerel: 126.96/32.9552
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 56.94/61.8296
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 61.400000000000006s
Info:Filtering - Merging: Merged matrix has 777554 rows and total weight 77960738 (100.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 57.67/19.3
Info:Filtering - Merging: Total cpu/real time for replay: 19.26/15.1669
Info:Quadratic Characters: Total cpu/real time for characters: 24.36/9.4008
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20359/35.830/43.423/51.670/1.032
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16480/35.220/38.472/43.920/0.867
Info:Polynomial Selection (size optimized): Total time: 2246.19
Info:Square Root: Total cpu/real time for sqrt: 237.75/71.3158
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 188.54/177.085
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 149.9s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 81574/22300.7
Info:root: Cleaning up computation data in /tmp/cado.cc82ae95
93572047946158117619876485541551134677143851327169950001 257759500810008510908147848367147227878953230479504630783492297913

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)

241208155690091101211221375045574518541762861530477847582043217985549422912105734995155397510130957088108675563218708377346224445277691215926807715344034087524812949<165>

354899069948731464423076162959897594681174759103718923<54>
679652825590486631255370859557151402177289393081297006043693050197542416344216864269198554677852525899964829663<111>

241208155690091101211221375045574518541762861530477847582043217985549422912105734995155397510130957088108675563218708377346224445277691215926807715344034087524812949=354899069948731464423076162959897594681174759103718923*679652825590486631255370859557151402177289393081297006043693050197542416344216864269198554677852525899964829663

cado polynomial
n: 241208155690091101211221375045574518541762861530477847582043217985549422912105734995155397510130957088108675563218708377346224445277691215926807715344034087524812949
skew: 0.40
type: snfs
c0: -5
c5: 491
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 491*x^5-5
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 16700000
tasks.lim1 = 16700000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 679652825590486631255370859557151402177289393081297006043693050197542416344216864269198554677852525899964829663 354899069948731464423076162959897594681174759103718923
Info:Square Root: Total cpu/real time for sqrt: 839.01/270.997
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 190.61/187.691
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 187.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 204.51/203.996
Info:Filtering - Merging: Merged matrix has 2727960 rows and total weight 464048187 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 753.67/209.411
Info:Filtering - Merging: Total cpu/real time for replay: 107.88/108.014
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 43291854
Info:Lattice Sieving: Average J: 3790.06 for 1598784 special-q, max bucket fill -bkmult 1.0,1s:1.075200
Info:Lattice Sieving: Total time: 742172s
Info:Linear Algebra: Total cpu/real time for bwc: 132480/34826.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 85057.35, WCT time 22223.25, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (85504 iterations)
Info:Linear Algebra: Lingen CPU time 595.07, WCT time 153.78
Info:Linear Algebra: Mksol: CPU time 45843.71,  WCT time 12055.43, iteration CPU time 0.26, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (43008 iterations)
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 520.51/513.668
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 488.0s
Info:Quadratic Characters: Total cpu/real time for characters: 100.3/43.1011
Info:Generate Factor Base: Total cpu/real time for makefb: 7.04/3.11385
Info:Generate Free Relations: Total cpu/real time for freerel: 236.55/61.3056
Info:Square Root: Total cpu/real time for sqrt: 839.01/270.997
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.54479e+06/219721
Info:root: Cleaning up computation data in /tmp/cado.8zhxmt84
679652825590486631255370859557151402177289393081297006043693050197542416344216864269198554677852525899964829663 354899069948731464423076162959897594681174759103718923

cado-nfs-3.0.0

Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

57965772802790342095604787042214893802333008710788486507678346116694330922366112447885241824227550331119350532486550837939617578040340248763174580874235643430518506304994941570716543441<185>

69400862147158437081357468804296905275707529558497126252977692767<65>
835231307067612623401068924070691564295049035878430997972526360290939336450693988095463045488127104584250072833512809423<120>

Number: n
N=57965772802790342095604787042214893802333008710788486507678346116694330922366112447885241824227550331119350532486550837939617578040340248763174580874235643430518506304994941570716543441  ( 185 digits)
SNFS difficulty: 203 digits.
Divisors found:

Fri Aug  4 05:09:33 2023  prp65 factor: 69400862147158437081357468804296905275707529558497126252977692767
Fri Aug  4 05:09:33 2023  prp120 factor: 835231307067612623401068924070691564295049035878430997972526360290939336450693988095463045488127104584250072833512809423
Fri Aug  4 05:09:33 2023  elapsed time 04:15:50 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.092).
Factorization parameters were as follows:
#
# N = 491x10^202-5 = 545(202)
#
n: 57965772802790342095604787042214893802333008710788486507678346116694330922366112447885241824227550331119350532486550837939617578040340248763174580874235643430518506304994941570716543441
m: 10000000000000000000000000000000000000000
deg: 5
c5: 9820
c0: -1
skew: 0.16
# Murphy_E = 7.873e-12
type: snfs
lss: 1
rlim: 17600000
alim: 17600000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17600000/17600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 48800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3082161 hash collisions in 16376026 relations (13855351 unique)
Msieve: matrix is 2805619 x 2805845 (795.5 MB)

Sieving start time: 2023/08/03 04:45:20
Sieving end time  : 2023/08/04 00:53:21

Total sieving time: 20hrs 8min 1secs.

Total relation processing time: 4hrs 7min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 35sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17600000,17600000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1427521718014592711355015385325181648727850037405176854344597313177504979351277478524135797729530619984807792890074419758478521677603448159476848341913975358490765497895048558423<178>

24648303502933766776768125614605894706863<41>
49790751391647887256310369642451996557296841<44>
1163180227131207494251478641519505857297971438627968221344394820614214238247433910302237032081<94>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1427521718014592711355015385325181648727850037405176854344597313177504979351277478524135797729530619984807792890074419758478521677603448159476848341913975358490765497895048558423 (178 digits)
Using B1=18310000, B2=58560741340, polynomial Dickson(12), sigma=1:1172140375
Step 1 took 46704ms
Step 2 took 16846ms
********** Factor found in step 2: 49790751391647887256310369642451996557296841
Found prime factor of 44 digits: 49790751391647887256310369642451996557296841
Composite cofactor 28670419266941436145536089746200263525901449619805754785616844909045945858533211140265239937457728968465420498641295565019860621871903 has 134 digits


GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 28670419266941436145536089746200263525901449619805754785616844909045945858533211140265239937457728968465420498641295565019860621871903 (134 digits)
Using B1=19070000, B2=70271330230, polynomial Dickson(12), sigma=1:321528364
Step 1 took 26761ms
Step 2 took 13378ms
********** Factor found in step 2: 24648303502933766776768125614605894706863
Found prime factor of 41 digits: 24648303502933766776768125614605894706863
Prime cofactor 1163180227131207494251478641519505857297971438627968221344394820614214238247433910302237032081 has 94 digits

4472675528178495442018742976741267754675958592650200091663234152883996791350581141858132468845380109539100482672736853499785712558595802831646101988607231297993071093356589782161<178>

35104922931100297235267985167066875701426554524813474239193936347806147500199905611065827692698889436233429242640724110040480486310688046427433229296688481794908655370975519711<176>

23458419688065593191633855169067126647<38>
1496474331941457705735194779940830138600245315564501843632936541143593882651048851541606896691458682965591914543857258695622663128797853913<139>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=524417650
Step 1 took 11252ms
Step 2 took 4296ms
********** Factor found in step 2: 23458419688065593191633855169067126647
Found probable prime factor of 38 digits: 23458419688065593191633855169067126647
Probable prime cofactor 1496474331941457705735194779940830138600245315564501843632936541143593882651048851541606896691458682965591914543857258695622663128797853913 has 139 digits

4018151066966079460823815310345663125946343520880765246978796414847012341928634771498423065678523605308740371428383350122945122893514653287905619252835678280659541735922583<172>

980629374750595279865172161223325629174886411775414104084107932921840601946589073089989233698543905101192780587473638832392847555589066368091069215318812795766700552401519674366175936747676203<192>

1745828065795950548123538559652125112196939368708778790705207848966101142026958593832830497650742179346955373935295566704808349189792600227344736951246157350434261153418590722343171536427<187>

578966119891895413806884723688863270773660745130389661258524707483324259684919572029094374168414516004921398816825590331059811966665144179520594267950670384776176176450297000448671445734930238191629622341<204>

472824882589979078484699764329853873238287<42>

1224483188618394136385144266402092513267859996753356443581826997988450595931781294173817066983520020193705199163641743085578748506510415771363805754385027899848043<163>

GPU: factor 472824882589979078484699764329853873238287 found in Step 1 with curve 166 (-sigma 3:1904721878)
Computing 1792 Step 1 took 3534ms of CPU time / 2511842ms of GPU time
Throughput: 0.713 curves per second (on average 1401.70ms per Step 1)
********** Factor found in step 1: 472824882589979078484699764329853873238287
Found prime factor of 42 digits: 472824882589979078484699764329853873238287
Composite cofactor 1224483188618394136385144266402092513267859996753356443581826997988450595931781294173817066983520020193705199163641743085578748506510415771363805754385027899848043 has 163 digits
Peak memory usage: 9460MB

198781654688047718609062010301545494977149927338422750969278173812776061312359318204834859711264181082233318772880765399247386744911336398335926300345274827479486876939196517669290361840707596295187680347034713127<213>

605263038855518034708204397540130011<36>
328421928859096853484798047301247718894811353810080358859899493556616929419906871299232770828485479861211344617765528424428545790223713848321090118163410370704270567052152027557<177>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3001861310
Step 1 took 12403ms
Step 2 took 5470ms
********** Factor found in step 2: 605263038855518034708204397540130011
Found prime factor of 36 digits: 605263038855518034708204397540130011
Prime cofactor 328421928859096853484798047301247718894811353810080358859899493556616929419906871299232770828485479861211344617765528424428545790223713848321090118163410370704270567052152027557 has 177 digits

2114584273250411371451773131435838473913160267002947920756776411169244382357841403813682055199554365652079988428159814047462880753371067213283519067614463732172054824379414094064160247097388805244535829<202>

6549520341791488555894621250246505669807845530296612671191947205333<67>
322860936816635597775600475418114382585117880713091229712536161155634844032894866831771543543625435862595365721010960933037277415400513<135>

Number: 54555_219
N = 2114584273250411371451773131435838473913160267002947920756776411169244382357841403813682055199554365652079988428159814047462880753371067213283519067614463732172054824379414094064160247097388805244535829 (202 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=6549520341791488555894621250246505669807845530296612671191947205333 (pp67)
r2=322860936816635597775600475418114382585117880713091229712536161155634844032894866831771543543625435862595365721010960933037277415400513 (pp135)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 43.10 hours.
Factorization parameters were as follows:
n: 2114584273250411371451773131435838473913160267002947920756776411169244382357841403813682055199554365652079988428159814047462880753371067213283519067614463732172054824379414094064160247097388805244535829
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 491
c0: -50
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: 31564957
Relations: 8875082 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 10.76 hours.
Total relation processing time: 0.26 hours.
Pruned matrix : 7538891 x 7539116
Matrix solve time: 31.13 hours.
time per square root: 0.95 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: 43.10 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

3198297651954912067181927353981237119320252198544077023539793626160065028226005434648430240925253049018452754277834821594456758783364483522363705275944893588151710079590425286808472662789614184163570973892987<208>

45743552568436096565659551433559225935915562623<47>
69917998764306667088660660833278265132364060632450281439287355240467673036551114122325000258569369526041696411484704647676550422657913518804221900369785441464069<161>

Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:3048094005
Step 1 took 0ms
Step 2 took 47660ms
********** Factor found in step 2: 45743552568436096565659551433559225935915562623
Found prime factor of 47 digits: 45743552568436096565659551433559225935915562623
Prime cofactor 69917998764306667088660660833278265132364060632450281439287355240467673036551114122325000258569369526041696411484704647676550422657913518804221900369785441464069 has 161 digits

731762003509641222765085614102074066854441907418286710060706632286105598972221988220798128701769267298631010018886606746348458489589839367376944913660879162017850349357564150440715758911<186>

155873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873<228>

2236815055497032524683144410419770965657633072741277477855722586029660543016394705660243748511359373917062796343994977630448495346822231031661090065218988509320759<163>

405027346929084824353953661361707767120706129793551495790902767329684101730448965214305364700423554980018552271965903661440725127617757572260567308247878653222116815758497135780978154387396253759053043<201>

27885931312740567365339924832967642932391836334795203410584783236498482478664982380773792668482577353363577320065755069247590467463498781139666566444317871390719054283875028339167558652446861888096160097<203>

41556338696567048069028101135159359260822867685589380705044370809548965838199454795843642657780118428508868304158209414715505202434522541352473834085859609646706723294691435961594449732098742789829<197>

4841708295917866523858710145306304516563628057563808358782450428761646982988132254120688098605076347313353185875394907295226597012612631642731868369487774801066464553102086983<175>

484764027730099926909524332970670301820223417409597254240605720588385342408239810297686647524388764803512012910260571231962415946833757780981903637395653399246872395604722471184853494796063752569820121674478285151119<216>

2028327797256007823140624272292496003430057722613458026575258565937563420683294030010631553867811517481234158872250896613493448064216394525209865666318711509420454229531052145080418931259885174573530386959<205>

5653425446171560161197466896948762233736327000575705238917674150834772596430627518710420264824409902130109383995394358088658606793321819228554979850316637881404720782959124928036845135290731145653425446171560161197466896948762233736327<235>

614079273679634722157933500978784391258232238617729638619162978060749422525502963662637740500839852484837437629368577<117>

353423362700747702170865081288752040562612182480291<51>
1737517488903501897894098407944891654127691685426356443692744263947<67>

353423362700747702170865081288752040562612182480291 1737517488903501897894098407944891654127691685426356443692744263947

n: 614079273679634722157933500978784391258232238617729638619162978060749422525502963662637740500839852484837437629368577
skew: 35420.113
c0: 149422874679377796896447352
c1: -18538559276303529911275
c2: -57189573005631876
c3: -227790154088999
c4: -480515610
c5: 24840
Y0: -43187976934750561269934
Y1: 22830988514939737
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 9.109e-07
# f(x) = 24840*x^5-480515610*x^4-227790154088999*x^3-57189573005631876*x^2-18538559276303529911275*x+149422874679377796896447352
# g(x) = 22830988514939737*x-43187976934750561269934

cado-nfs 3.0.0

10677256765703007275463188803615445267321704408975293338873764043650669776597103686459897783859247486731959070356261241767788823519504570067045670139156296000479019576445836750028315932721061157532713858902052467757049438601908256291<233>

12037289118602421156583352171527025721938443056266869741474197340988282048649178340286927749272898086042485250546394986651145518911604558900085499362056351588018459817760456539396186072305883975329<197>

1865951190234101346716618166500004193605495237550437008542065407525606820097875605140173314296823190132560699447249454801349942940874757013999774230910739726847<160>

45134823675029159291444285409629691764278706069235967629432435730076919539<74>
41341718839292570948282884362021924349556372833615384873066008456924022008453253829573<86>

Sieving by NFS@home, postprocessing by Dmitry Domanov.
---
Sat Sep 24 18:39:52 2022  
Sat Sep 24 18:39:52 2022  
Sat Sep 24 18:39:52 2022  Msieve v. 1.54 (SVN unknown)
Sat Sep 24 18:39:52 2022  random seeds: db0c1f21 0216d807
Sat Sep 24 18:39:52 2022  factoring 1865951190234101346716618166500004193605495237550437008542065407525606820097875605140173314296823190132560699447249454801349942940874757013999774230910739726847 (160 digits)
Sat Sep 24 18:39:54 2022  searching for 15-digit factors
Sat Sep 24 18:39:54 2022  commencing number field sieve (160-digit input)
Sat Sep 24 18:39:54 2022  R0: -12118262452157495003856237080925
Sat Sep 24 18:39:54 2022  R1: 42422726344153103
Sat Sep 24 18:39:54 2022  A0: 9962293804152057582413276452073620907804
Sat Sep 24 18:39:54 2022  A1: 3510125274219292810434479014980562
Sat Sep 24 18:39:54 2022  A2: -933969711025153525115068341
Sat Sep 24 18:39:54 2022  A3: -21189335291983725202
Sat Sep 24 18:39:54 2022  A4: 1396318679062
Sat Sep 24 18:39:54 2022  A5: 7140
Sat Sep 24 18:39:54 2022  skew 25210756.36, size 1.632e-15, alpha -7.905, combined = 1.504e-12 rroots = 5
Sat Sep 24 18:39:54 2022  
Sat Sep 24 18:39:54 2022  commencing relation filtering
Sat Sep 24 18:39:54 2022  setting target matrix density to 130.0
Sat Sep 24 18:39:54 2022  estimated available RAM is 31302.7 MB
Sat Sep 24 18:39:54 2022  commencing duplicate removal, pass 1
Sat Sep 24 18:40:17 2022  error -1 reading relation 6130991
Sat Sep 24 18:40:24 2022  error -15 reading relation 8190840
Sat Sep 24 18:41:32 2022  error -15 reading relation 26230737
Sat Sep 24 18:43:38 2022  error -15 reading relation 60448095
Sat Sep 24 18:45:47 2022  error -15 reading relation 94360797
Sat Sep 24 18:46:23 2022  error -5 reading relation 104081063
Sat Sep 24 18:46:23 2022  error -15 reading relation 104188898
Sat Sep 24 18:48:27 2022  skipped 1 relations with composite factors
Sat Sep 24 18:48:27 2022  found 26929013 hash collisions in 137386667 relations
Sat Sep 24 18:49:06 2022  added 121408 free relations
Sat Sep 24 18:49:06 2022  commencing duplicate removal, pass 2
Sat Sep 24 18:52:18 2022  found 25414996 duplicates and 112093079 unique relations
Sat Sep 24 18:52:18 2022  memory use: 660.8 MB
Sat Sep 24 18:52:18 2022  reading ideals above 720000
Sat Sep 24 18:52:19 2022  commencing singleton removal, initial pass
Sat Sep 24 19:04:36 2022  memory use: 2756.0 MB
Sat Sep 24 19:04:36 2022  reading all ideals from disk
Sat Sep 24 19:05:08 2022  memory use: 5011.3 MB
Sat Sep 24 19:05:22 2022  keeping 92609548 ideals with weight <= 200, target excess is 584921
Sat Sep 24 19:05:39 2022  commencing in-memory singleton removal
Sat Sep 24 19:05:43 2022  begin with 112093079 relations and 92609548 unique ideals
Sat Sep 24 19:06:00 2022  reduce to 81159187 relations and 59114381 ideals in 12 passes
Sat Sep 24 19:06:00 2022  max relations containing the same ideal: 171
Sat Sep 24 19:06:32 2022  removing 7856521 relations and 5856521 ideals in 2000000 cliques
Sat Sep 24 19:06:36 2022  commencing in-memory singleton removal
Sat Sep 24 19:06:39 2022  begin with 73302666 relations and 59114381 unique ideals
Sat Sep 24 19:06:47 2022  reduce to 72703280 relations and 52640299 ideals in 7 passes
Sat Sep 24 19:06:47 2022  max relations containing the same ideal: 160
Sat Sep 24 19:07:18 2022  removing 6253633 relations and 4253633 ideals in 2000000 cliques
Sat Sep 24 19:07:22 2022  commencing in-memory singleton removal
Sat Sep 24 19:07:24 2022  begin with 66449647 relations and 52640299 unique ideals
Sat Sep 24 19:07:32 2022  reduce to 66039137 relations and 47964900 ideals in 7 passes
Sat Sep 24 19:07:32 2022  max relations containing the same ideal: 149
Sat Sep 24 19:07:59 2022  removing 5831265 relations and 3831265 ideals in 2000000 cliques
Sat Sep 24 19:08:02 2022  commencing in-memory singleton removal
Sat Sep 24 19:08:05 2022  begin with 60207872 relations and 47964900 unique ideals
Sat Sep 24 19:08:11 2022  reduce to 59849120 relations and 43764891 ideals in 6 passes
Sat Sep 24 19:08:11 2022  max relations containing the same ideal: 142
Sat Sep 24 19:08:35 2022  removing 5615051 relations and 3615051 ideals in 2000000 cliques
Sat Sep 24 19:08:39 2022  commencing in-memory singleton removal
Sat Sep 24 19:08:41 2022  begin with 54234069 relations and 43764891 unique ideals
Sat Sep 24 19:08:46 2022  reduce to 53891636 relations and 39797245 ideals in 6 passes
Sat Sep 24 19:08:46 2022  max relations containing the same ideal: 134
Sat Sep 24 19:09:09 2022  removing 5477658 relations and 3477658 ideals in 2000000 cliques
Sat Sep 24 19:09:12 2022  commencing in-memory singleton removal
Sat Sep 24 19:09:14 2022  begin with 48413978 relations and 39797245 unique ideals
Sat Sep 24 19:09:19 2022  reduce to 48070718 relations and 35965482 ideals in 7 passes
Sat Sep 24 19:09:19 2022  max relations containing the same ideal: 123
Sat Sep 24 19:09:40 2022  removing 5389611 relations and 3389611 ideals in 2000000 cliques
Sat Sep 24 19:09:43 2022  commencing in-memory singleton removal
Sat Sep 24 19:09:45 2022  begin with 42681107 relations and 35965482 unique ideals
Sat Sep 24 19:09:49 2022  reduce to 42326617 relations and 32208619 ideals in 7 passes
Sat Sep 24 19:09:49 2022  max relations containing the same ideal: 113
Sat Sep 24 19:10:07 2022  removing 5328800 relations and 3328800 ideals in 2000000 cliques
Sat Sep 24 19:10:10 2022  commencing in-memory singleton removal
Sat Sep 24 19:10:11 2022  begin with 36997817 relations and 32208619 unique ideals
Sat Sep 24 19:10:15 2022  reduce to 36619095 relations and 28486147 ideals in 7 passes
Sat Sep 24 19:10:15 2022  max relations containing the same ideal: 104
Sat Sep 24 19:10:31 2022  removing 5292411 relations and 3292411 ideals in 2000000 cliques
Sat Sep 24 19:10:34 2022  commencing in-memory singleton removal
Sat Sep 24 19:10:35 2022  begin with 31326684 relations and 28486147 unique ideals
Sat Sep 24 19:10:38 2022  reduce to 30909225 relations and 24757601 ideals in 8 passes
Sat Sep 24 19:10:38 2022  max relations containing the same ideal: 89
Sat Sep 24 19:10:52 2022  removing 5271160 relations and 3271160 ideals in 2000000 cliques
Sat Sep 24 19:10:55 2022  commencing in-memory singleton removal
Sat Sep 24 19:10:56 2022  begin with 25638065 relations and 24757601 unique ideals
Sat Sep 24 19:10:59 2022  reduce to 25158520 relations and 20981969 ideals in 8 passes
Sat Sep 24 19:10:59 2022  max relations containing the same ideal: 79
Sat Sep 24 19:11:10 2022  removing 5264211 relations and 3264211 ideals in 2000000 cliques
Sat Sep 24 19:11:12 2022  commencing in-memory singleton removal
Sat Sep 24 19:11:13 2022  begin with 19894309 relations and 20981969 unique ideals
Sat Sep 24 19:11:15 2022  reduce to 19315699 relations and 17101946 ideals in 7 passes
Sat Sep 24 19:11:15 2022  max relations containing the same ideal: 67
Sat Sep 24 19:11:24 2022  removing 4191256 relations and 2656012 ideals in 1535244 cliques
Sat Sep 24 19:11:25 2022  commencing in-memory singleton removal
Sat Sep 24 19:11:26 2022  begin with 15124443 relations and 17101946 unique ideals
Sat Sep 24 19:11:28 2022  reduce to 14582613 relations and 13867401 ideals in 8 passes
Sat Sep 24 19:11:28 2022  max relations containing the same ideal: 56
Sat Sep 24 19:11:35 2022  removing 196639 relations and 159936 ideals in 36703 cliques
Sat Sep 24 19:11:36 2022  commencing in-memory singleton removal
Sat Sep 24 19:11:36 2022  begin with 14385974 relations and 13867401 unique ideals
Sat Sep 24 19:11:37 2022  reduce to 14383678 relations and 13705160 ideals in 5 passes
Sat Sep 24 19:11:37 2022  max relations containing the same ideal: 55
Sat Sep 24 19:11:39 2022  relations with 0 large ideals: 1880
Sat Sep 24 19:11:39 2022  relations with 1 large ideals: 17786
Sat Sep 24 19:11:39 2022  relations with 2 large ideals: 213099
Sat Sep 24 19:11:39 2022  relations with 3 large ideals: 1053201
Sat Sep 24 19:11:39 2022  relations with 4 large ideals: 2681513
Sat Sep 24 19:11:39 2022  relations with 5 large ideals: 3942571
Sat Sep 24 19:11:39 2022  relations with 6 large ideals: 3587219
Sat Sep 24 19:11:39 2022  relations with 7+ large ideals: 2886409
Sat Sep 24 19:11:39 2022  commencing 2-way merge
Sat Sep 24 19:11:47 2022  reduce to 9838998 relation sets and 9160480 unique ideals
Sat Sep 24 19:11:47 2022  commencing full merge
Sat Sep 24 19:15:36 2022  memory use: 1146.6 MB
Sat Sep 24 19:15:37 2022  found 4313792 cycles, need 4272680
Sat Sep 24 19:15:39 2022  weight of 4272680 cycles is about 556226208 (130.18/cycle)
Sat Sep 24 19:15:39 2022  distribution of cycle lengths:
Sat Sep 24 19:15:39 2022  1 relations: 73466
Sat Sep 24 19:15:39 2022  2 relations: 195966
Sat Sep 24 19:15:39 2022  3 relations: 262347
Sat Sep 24 19:15:39 2022  4 relations: 295247
Sat Sep 24 19:15:39 2022  5 relations: 320816
Sat Sep 24 19:15:39 2022  6 relations: 328209
Sat Sep 24 19:15:39 2022  7 relations: 329735
Sat Sep 24 19:15:39 2022  8 relations: 316682
Sat Sep 24 19:15:39 2022  9 relations: 298364
Sat Sep 24 19:15:39 2022  10+ relations: 1851848
Sat Sep 24 19:15:39 2022  heaviest cycle: 28 relations
Sat Sep 24 19:15:41 2022  commencing cycle optimization
Sat Sep 24 19:15:53 2022  start with 40304329 relations
Sat Sep 24 19:17:49 2022  pruned 2311314 relations
Sat Sep 24 19:17:49 2022  memory use: 1008.4 MB
Sat Sep 24 19:17:49 2022  distribution of cycle lengths:
Sat Sep 24 19:17:49 2022  1 relations: 73466
Sat Sep 24 19:17:49 2022  2 relations: 202411
Sat Sep 24 19:17:49 2022  3 relations: 276108
Sat Sep 24 19:17:49 2022  4 relations: 311900
Sat Sep 24 19:17:49 2022  5 relations: 342705
Sat Sep 24 19:17:49 2022  6 relations: 351050
Sat Sep 24 19:17:49 2022  7 relations: 353892
Sat Sep 24 19:17:49 2022  8 relations: 338165
Sat Sep 24 19:17:49 2022  9 relations: 317511
Sat Sep 24 19:17:49 2022  10+ relations: 1705472
Sat Sep 24 19:17:49 2022  heaviest cycle: 28 relations
Sat Sep 24 19:17:58 2022  RelProcTime: 2284
Sat Sep 24 19:17:58 2022  
Sat Sep 24 19:17:58 2022  commencing linear algebra
Sat Sep 24 19:17:58 2022  using VBITS=256
Sat Sep 24 19:17:58 2022  read 4272680 cycles
Sat Sep 24 19:18:11 2022  cycles contain 14071522 unique relations
Sat Sep 24 19:21:18 2022  read 14071522 relations
Sat Sep 24 19:21:21 2022  using 20 quadratic characters above 4294917295
Sat Sep 24 19:21:31 2022  building initial matrix
Sat Sep 24 19:26:36 2022  memory use: 1959.6 MB
Sat Sep 24 19:26:40 2022  read 4272680 cycles
Sat Sep 24 19:26:41 2022  matrix is 4272500 x 4272680 (2131.3 MB) with weight 656290343 (153.60/col)
Sat Sep 24 19:26:41 2022  sparse part has weight 507428943 (118.76/col)
Sat Sep 24 19:27:36 2022  filtering completed in 2 passes
Sat Sep 24 19:27:36 2022  matrix is 4272382 x 4272561 (2131.3 MB) with weight 656282544 (153.60/col)
Sat Sep 24 19:27:36 2022  sparse part has weight 507425485 (118.76/col)
Sat Sep 24 19:27:59 2022  matrix starts at (0, 0)
Sat Sep 24 19:28:00 2022  matrix is 4272382 x 4272561 (2131.3 MB) with weight 656282544 (153.60/col)
Sat Sep 24 19:28:00 2022  sparse part has weight 507425485 (118.76/col)
Sat Sep 24 19:28:00 2022  saving the first 240 matrix rows for later
Sat Sep 24 19:28:01 2022  matrix includes 256 packed rows
Sat Sep 24 19:28:02 2022  matrix is 4272142 x 4272561 (1898.5 MB) with weight 461364607 (107.98/col)
Sat Sep 24 19:28:02 2022  sparse part has weight 429313446 (100.48/col)
Sat Sep 24 19:28:02 2022  using block size 8192 and superblock size 878592 for processor cache size 36608 kB
Sat Sep 24 19:28:12 2022  commencing Lanczos iteration (16 threads)
Sat Sep 24 19:28:12 2022  memory use: 2556.0 MB
Sat Sep 24 19:29:52 2022  linear algebra at 0.7%, ETA 3h46m
Sat Sep 24 19:32:20 2022  checking every 10000 dimensions, checkpointing every 1130000 dimensions
Sat Sep 24 23:16:14 2022  lanczos halted after 16739 iterations (dim = 4272138)
Sat Sep 24 23:16:38 2022  recovered 27 nontrivial dependencies
Sat Sep 24 23:16:38 2022  BLanczosTime: 14320
Sat Sep 24 23:16:38 2022  
Sat Sep 24 23:16:38 2022  commencing square root phase
Sat Sep 24 23:16:38 2022  handling dependencies 1 to 64
Sat Sep 24 23:16:38 2022  reading relations for dependency 1
Sat Sep 24 23:16:39 2022  read 2135016 cycles
Sat Sep 24 23:16:43 2022  cycles contain 7031426 unique relations
Sat Sep 24 23:18:54 2022  read 7031426 relations
Sat Sep 24 23:19:35 2022  multiplying 7031426 relations
Sat Sep 24 23:24:59 2022  multiply complete, coefficients have about 362.01 million bits
Sat Sep 24 23:25:01 2022  initial square root is modulo 3131263
Sat Sep 24 23:29:21 2022  GCD is N, no factor found
Sat Sep 24 23:29:21 2022  reading relations for dependency 2
Sat Sep 24 23:29:22 2022  read 2137231 cycles
Sat Sep 24 23:29:28 2022  cycles contain 7035908 unique relations
Sat Sep 24 23:31:50 2022  read 7035908 relations
Sat Sep 24 23:32:30 2022  multiplying 7035908 relations
Sat Sep 24 23:37:54 2022  multiply complete, coefficients have about 362.25 million bits
Sat Sep 24 23:37:56 2022  initial square root is modulo 3161891
Sat Sep 24 23:42:16 2022  GCD is 1, no factor found
Sat Sep 24 23:42:16 2022  reading relations for dependency 3
Sat Sep 24 23:42:17 2022  read 2135894 cycles
Sat Sep 24 23:42:23 2022  cycles contain 7032624 unique relations
Sat Sep 24 23:44:44 2022  read 7032624 relations
Sat Sep 24 23:45:22 2022  multiplying 7032624 relations
Sat Sep 24 23:50:44 2022  multiply complete, coefficients have about 362.08 million bits
Sat Sep 24 23:50:46 2022  initial square root is modulo 3139321
Sat Sep 24 23:55:06 2022  sqrtTime: 2308
Sat Sep 24 23:55:06 2022  p74 factor: 45134823675029159291444285409629691764278706069235967629432435730076919539
Sat Sep 24 23:55:06 2022  p86 factor: 41341718839292570948282884362021924349556372833615384873066008456924022008453253829573
Sat Sep 24 23:55:06 2022  elapsed time 05:15:14

2210387394757216724333649172019364377042544152994800970151684915905653859050511458573354032224770097955517919630782299239417088821782627728171644790844123173<157>

20599439321755986199891677180050288460317959128381983<53>
107303279484055085745728380107853028100562789641728750608924101953777366242567314046979848225052424559931<105>

Sieving done by NFS@home, postprocessing done by Dmitry Domanov.

Fri Sep 16 06:18:06 2022  
Fri Sep 16 06:18:06 2022  
Fri Sep 16 06:18:06 2022  Msieve v. 1.54 (SVN unknown)
Fri Sep 16 06:18:06 2022  random seeds: e076cb97 92dbce00
Fri Sep 16 06:18:06 2022  factoring 2210387394757216724333649172019364377042544152994800970151684915905653859050511458573354032224770097955517919630782299239417088821782627728171644790844123173 (157 digits)
Fri Sep 16 06:18:06 2022  searching for 15-digit factors
Fri Sep 16 06:18:07 2022  commencing number field sieve (157-digit input)
Fri Sep 16 06:18:07 2022  R0: -3376038956961646299003897221137
Fri Sep 16 06:18:07 2022  R1: 49627681316021237
Fri Sep 16 06:18:07 2022  A0: 107536016215061267496346786236642968436
Fri Sep 16 06:18:07 2022  A1: -159735616350923384606847944000484
Fri Sep 16 06:18:07 2022  A2: 8212627412148559808954201
Fri Sep 16 06:18:07 2022  A3: 2628287799684584396
Fri Sep 16 06:18:07 2022  A4: 482934173300
Fri Sep 16 06:18:07 2022  A5: 5040
Fri Sep 16 06:18:07 2022  skew 10581129.83, size 3.608e-15, alpha -7.302, combined = 2.417e-12 rroots = 3
Fri Sep 16 06:18:07 2022  
Fri Sep 16 06:18:07 2022  commencing relation filtering
Fri Sep 16 06:18:07 2022  setting target matrix density to 130.0
Fri Sep 16 06:18:07 2022  estimated available RAM is 31304.4 MB
Fri Sep 16 06:18:07 2022  commencing duplicate removal, pass 1
Fri Sep 16 06:19:12 2022  error -9 reading relation 37764032
Fri Sep 16 06:19:12 2022  error -9 reading relation 37785576
Fri Sep 16 06:19:12 2022  error -15 reading relation 37830947
Fri Sep 16 06:19:12 2022  error -9 reading relation 37853697
Fri Sep 16 06:19:13 2022  error -15 reading relation 38030968
Fri Sep 16 06:19:39 2022  error -9 reading relation 53307279
Fri Sep 16 06:19:48 2022  error -9 reading relation 58251112
Fri Sep 16 06:19:48 2022  error -9 reading relation 58404921
Fri Sep 16 06:19:48 2022  error -9 reading relation 58552765
Fri Sep 16 06:19:57 2022  skipped 4 relations with composite factors
Fri Sep 16 06:19:57 2022  found 13701967 hash collisions in 63778941 relations
Fri Sep 16 06:20:21 2022  commencing duplicate removal, pass 2
Fri Sep 16 06:21:25 2022  found 13750369 duplicates and 50028572 unique relations
Fri Sep 16 06:21:25 2022  memory use: 362.4 MB
Fri Sep 16 06:21:25 2022  reading ideals above 720000
Fri Sep 16 06:21:25 2022  commencing singleton removal, initial pass
Fri Sep 16 06:24:04 2022  memory use: 1378.0 MB
Fri Sep 16 06:24:05 2022  reading all ideals from disk
Fri Sep 16 06:24:06 2022  memory use: 2184.3 MB
Fri Sep 16 06:24:11 2022  keeping 46868697 ideals with weight <= 200, target excess is 272352
Fri Sep 16 06:24:15 2022  commencing in-memory singleton removal
Fri Sep 16 06:24:17 2022  begin with 50028572 relations and 46868697 unique ideals
Fri Sep 16 06:24:21 2022  reduce to 31880522 relations and 26846990 ideals in 14 passes
Fri Sep 16 06:24:21 2022  max relations containing the same ideal: 157
Fri Sep 16 06:24:30 2022  removing 4649939 relations and 3649939 ideals in 1000000 cliques
Fri Sep 16 06:24:32 2022  commencing in-memory singleton removal
Fri Sep 16 06:24:33 2022  begin with 27230583 relations and 26846990 unique ideals
Fri Sep 16 06:24:35 2022  reduce to 26710615 relations and 22657566 ideals in 9 passes
Fri Sep 16 06:24:35 2022  max relations containing the same ideal: 139
Fri Sep 16 06:24:43 2022  removing 3660686 relations and 2660686 ideals in 1000000 cliques
Fri Sep 16 06:24:44 2022  commencing in-memory singleton removal
Fri Sep 16 06:24:45 2022  begin with 23049929 relations and 22657566 unique ideals
Fri Sep 16 06:24:46 2022  reduce to 22672262 relations and 19605660 ideals in 8 passes
Fri Sep 16 06:24:46 2022  max relations containing the same ideal: 125
Fri Sep 16 06:24:53 2022  removing 3393521 relations and 2393521 ideals in 1000000 cliques
Fri Sep 16 06:24:54 2022  commencing in-memory singleton removal
Fri Sep 16 06:24:55 2022  begin with 19278741 relations and 19605660 unique ideals
Fri Sep 16 06:24:56 2022  reduce to 18915952 relations and 16835018 ideals in 8 passes
Fri Sep 16 06:24:56 2022  max relations containing the same ideal: 114
Fri Sep 16 06:25:02 2022  removing 3264891 relations and 2264891 ideals in 1000000 cliques
Fri Sep 16 06:25:03 2022  commencing in-memory singleton removal
Fri Sep 16 06:25:03 2022  begin with 15651061 relations and 16835018 unique ideals
Fri Sep 16 06:25:04 2022  reduce to 15264615 relations and 14165910 ideals in 8 passes
Fri Sep 16 06:25:04 2022  max relations containing the same ideal: 95
Fri Sep 16 06:25:09 2022  removing 2628796 relations and 1846020 ideals in 782776 cliques
Fri Sep 16 06:25:10 2022  commencing in-memory singleton removal
Fri Sep 16 06:25:10 2022  begin with 12635819 relations and 14165910 unique ideals
Fri Sep 16 06:25:11 2022  reduce to 12330934 relations and 12001375 ideals in 8 passes
Fri Sep 16 06:25:11 2022  max relations containing the same ideal: 83
Fri Sep 16 06:25:15 2022  removing 94217 relations and 80587 ideals in 13630 cliques
Fri Sep 16 06:25:15 2022  commencing in-memory singleton removal
Fri Sep 16 06:25:16 2022  begin with 12236717 relations and 12001375 unique ideals
Fri Sep 16 06:25:16 2022  reduce to 12236330 relations and 11920401 ideals in 5 passes
Fri Sep 16 06:25:16 2022  max relations containing the same ideal: 82
Fri Sep 16 06:25:17 2022  relations with 0 large ideals: 865
Fri Sep 16 06:25:17 2022  relations with 1 large ideals: 3154
Fri Sep 16 06:25:17 2022  relations with 2 large ideals: 45605
Fri Sep 16 06:25:17 2022  relations with 3 large ideals: 318504
Fri Sep 16 06:25:17 2022  relations with 4 large ideals: 1170318
Fri Sep 16 06:25:17 2022  relations with 5 large ideals: 2525024
Fri Sep 16 06:25:17 2022  relations with 6 large ideals: 3385547
Fri Sep 16 06:25:17 2022  relations with 7+ large ideals: 4787313
Fri Sep 16 06:25:17 2022  commencing 2-way merge
Fri Sep 16 06:25:23 2022  reduce to 8058033 relation sets and 7742104 unique ideals
Fri Sep 16 06:25:23 2022  commencing full merge
Fri Sep 16 06:28:13 2022  memory use: 998.3 MB
Fri Sep 16 06:28:14 2022  found 3524148 cycles, need 3520304
Fri Sep 16 06:28:15 2022  weight of 3520304 cycles is about 457976629 (130.10/cycle)
Fri Sep 16 06:28:15 2022  distribution of cycle lengths:
Fri Sep 16 06:28:15 2022  1 relations: 100178
Fri Sep 16 06:28:15 2022  2 relations: 183420
Fri Sep 16 06:28:15 2022  3 relations: 229365
Fri Sep 16 06:28:15 2022  4 relations: 242913
Fri Sep 16 06:28:15 2022  5 relations: 256687
Fri Sep 16 06:28:15 2022  6 relations: 255907
Fri Sep 16 06:28:15 2022  7 relations: 251207
Fri Sep 16 06:28:15 2022  8 relations: 243123
Fri Sep 16 06:28:15 2022  9 relations: 228843
Fri Sep 16 06:28:15 2022  10+ relations: 1528661
Fri Sep 16 06:28:15 2022  heaviest cycle: 28 relations
Fri Sep 16 06:28:16 2022  commencing cycle optimization
Fri Sep 16 06:28:23 2022  start with 33295559 relations
Fri Sep 16 06:29:35 2022  pruned 1721084 relations
Fri Sep 16 06:29:35 2022  memory use: 849.4 MB
Fri Sep 16 06:29:35 2022  distribution of cycle lengths:
Fri Sep 16 06:29:35 2022  1 relations: 100178
Fri Sep 16 06:29:35 2022  2 relations: 189047
Fri Sep 16 06:29:35 2022  3 relations: 240938
Fri Sep 16 06:29:35 2022  4 relations: 255116
Fri Sep 16 06:29:35 2022  5 relations: 271532
Fri Sep 16 06:29:35 2022  6 relations: 270444
Fri Sep 16 06:29:35 2022  7 relations: 266453
Fri Sep 16 06:29:35 2022  8 relations: 256214
Fri Sep 16 06:29:35 2022  9 relations: 240984
Fri Sep 16 06:29:35 2022  10+ relations: 1429398
Fri Sep 16 06:29:35 2022  heaviest cycle: 28 relations
Fri Sep 16 06:29:42 2022  RelProcTime: 695
Fri Sep 16 06:29:42 2022  
Fri Sep 16 06:29:42 2022  commencing linear algebra
Fri Sep 16 06:29:42 2022  using VBITS=256
Fri Sep 16 06:29:43 2022  read 3520304 cycles
Fri Sep 16 06:29:52 2022  cycles contain 12062716 unique relations
Fri Sep 16 06:30:43 2022  read 12062716 relations
Fri Sep 16 06:30:44 2022  using 20 quadratic characters above 4294917295
Fri Sep 16 06:30:49 2022  building initial matrix
Fri Sep 16 06:33:21 2022  memory use: 1658.8 MB
Fri Sep 16 06:33:23 2022  read 3520304 cycles
Fri Sep 16 06:33:23 2022  matrix is 3520125 x 3520304 (1764.7 MB) with weight 534750457 (151.90/col)
Fri Sep 16 06:33:23 2022  sparse part has weight 420355104 (119.41/col)
Fri Sep 16 06:34:01 2022  filtering completed in 2 passes
Fri Sep 16 06:34:02 2022  matrix is 3520107 x 3520285 (1764.7 MB) with weight 534749599 (151.91/col)
Fri Sep 16 06:34:02 2022  sparse part has weight 420354916 (119.41/col)
Fri Sep 16 06:34:22 2022  matrix starts at (0, 0)
Fri Sep 16 06:34:22 2022  matrix is 3520107 x 3520285 (1764.7 MB) with weight 534749599 (151.91/col)
Fri Sep 16 06:34:22 2022  sparse part has weight 420354916 (119.41/col)
Fri Sep 16 06:34:22 2022  saving the first 240 matrix rows for later
Fri Sep 16 06:34:24 2022  matrix includes 256 packed rows
Fri Sep 16 06:34:25 2022  matrix is 3519867 x 3520285 (1561.7 MB) with weight 380857658 (108.19/col)
Fri Sep 16 06:34:25 2022  sparse part has weight 353062681 (100.29/col)
Fri Sep 16 06:34:25 2022  using block size 8192 and superblock size 878592 for processor cache size 36608 kB
Fri Sep 16 06:34:33 2022  commencing Lanczos iteration (16 threads)
Fri Sep 16 06:34:33 2022  memory use: 2099.4 MB
Fri Sep 16 06:35:53 2022  linear algebra at 0.9%, ETA 2h30m
Fri Sep 16 06:37:53 2022  checking every 20000 dimensions, checkpointing every 1400000 dimensions
Fri Sep 16 09:09:55 2022  lanczos halted after 13793 iterations (dim = 3519865)
Fri Sep 16 09:10:22 2022  recovered 29 nontrivial dependencies
Fri Sep 16 09:10:22 2022  BLanczosTime: 9640
Fri Sep 16 09:10:22 2022  
Fri Sep 16 09:10:22 2022  commencing square root phase
Fri Sep 16 09:10:22 2022  handling dependencies 1 to 64
Fri Sep 16 09:10:22 2022  reading relations for dependency 1
Fri Sep 16 09:10:23 2022  read 1760143 cycles
Fri Sep 16 09:10:30 2022  cycles contain 6032342 unique relations
Fri Sep 16 09:11:59 2022  read 6032342 relations
Fri Sep 16 09:12:59 2022  multiplying 6032342 relations
Fri Sep 16 09:18:49 2022  multiply complete, coefficients have about 302.02 million bits
Fri Sep 16 09:18:51 2022  initial square root is modulo 262693
Fri Sep 16 09:22:46 2022  sqrtTime: 744
Fri Sep 16 09:22:46 2022  p53 factor: 20599439321755986199891677180050288460317959128381983
Fri Sep 16 09:22:46 2022  p105 factor: 107303279484055085745728380107853028100562789641728750608924101953777366242567314046979848225052424559931
Fri Sep 16 09:22:46 2022  elapsed time 03:04:40

170972048381098901682871812844068201345808536675528317097610738115978710258786089495305066811569988747158960585356155338710846998513755617027310915355097561622013436645471762307<177>

64837309369712378395601120481525937744590076505189<50>
2636939287628205019567453337102158019860214354762023103739764583576564069192408554123597102609242598235111176028256000072798663<127>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:557338963
Step 1 took 60659ms
Step 2 took 24347ms
********** Factor found in step 2: 64837309369712378395601120481525937744590076505189
Found prime factor of 50 digits: 64837309369712378395601120481525937744590076505189
Prime cofactor 2636939287628205019567453337102158019860214354762023103739764583576564069192408554123597102609242598235111176028256000072798663 has 127 digits

186349921753458010495752519251044336945092618132973730702779976567234351545533062258065107067393779863185093312468683244871568740536733856480701401874775341248825750536265718169971847406780977988911607584181349791401298724257786001381<234>

111574929579318767103098965341508074246834654760294651575079155823477059987980737339547684236976271577858527710353741632691369174724982412067039552891655346436695973111859546239100697154159653557146031221<204>

9947816890879709246091153879910306460103049554732674131176376026991710902044498595495587957193198581545121219805000241841801843869172337234032053783101187367258836428519410795895409005506210702528965882845053599004547634538209577<229>

40179100501945506296646308885718965816140279<44>

247586849048500413101594375820716733576456470718864539968529483161626346360605808979517240754626281713889833196856675958130802526388307327912439689747968287845149680225594009081385668063<186>

Resuming ECM residue saved by @f07e214d3901 with GMP-ECM 7.0.5-dev on Thu Jun 23 18:04:56 2022 
Input number is 9947816890879709246091153879910306460103049554732674131176376026991710902044498595495587957193198581545121219805000241841801843869172337234032053783101187367258836428519410795895409005506210702528965882845053599004547634538209577 (229 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2691815518
Step 1 took 0ms
Step 2 took 13178ms
********** Factor found in step 2: 40179100501945506296646308885718965816140279
Found prime factor of 44 digits: 40179100501945506296646308885718965816140279
Composite cofactor 247586849048500413101594375820716733576456470718864539968529483161626346360605808979517240754626281713889833196856675958130802526388307327912439689747968287845149680225594009081385668063 has 186 digits

247586849048500413101594375820716733576456470718864539968529483161626346360605808979517240754626281713889833196856675958130802526388307327912439689747968287845149680225594009081385668063<186>

794079257783209849422181277397576247557991091<45>

311791104756565312087014141832797248913469407672175600276525386013752248018337566813467970334059408810219507702212848831294626709126352262693<141>

Resuming ECM residue saved by @f07e214d3901 with GMP-ECM 7.0.5-dev on Thu Jun 23 18:04:56 2022 
Input number is 247586849048500413101594375820716733576456470718864539968529483161626346360605808979517240754626281713889833196856675958130802526388307327912439689747968287845149680225594009081385668063 (186 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2691815596
Step 1 took 0ms
Step 2 took 10840ms
********** Factor found in step 2: 794079257783209849422181277397576247557991091
Found prime factor of 45 digits: 794079257783209849422181277397576247557991091
Composite cofactor 311791104756565312087014141832797248913469407672175600276525386013752248018337566813467970334059408810219507702212848831294626709126352262693 has 141 digits

311791104756565312087014141832797248913469407672175600276525386013752248018337566813467970334059408810219507702212848831294626709126352262693<141>

13375930709473596338283543084932438392499059<44>
23309862433403388124015227211114061065561006153306996274931247268918596954928739013558977445265927<98>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:3625907900
Step 1 took 86204ms
Step 2 took 31968ms
********** Factor found in step 2: 13375930709473596338283543084932438392499059
Found prime factor of 44 digits: 13375930709473596338283543084932438392499059
Prime cofactor 23309862433403388124015227211114061065561006153306996274931247268918596954928739013558977445265927 has 98 digits
 

GMP-ECM

83069616906951032068086632643652491538657402120390038074984286984378344038486102757623667565882580842725190988215449764452802161501885138913209168787818035242834822580385926890277894092159903091086427084417171894046480073020054291323962200786539<245>

17838173732669379565440785008706345107641416596507106768075227794964255357895865702060711011776897235636922726257102096948438107840875620218801163011707470035605169515681052967862478204177408104734179823005741<209>

84975537309098084233368653494965778553333384494016801821565992209356075570849541231687197363788975569971949083583010821507272702068636059534158075175563248603388844285950941230342543197502470120685745134575913308899<215>

636038400111087312789771030420542527150360933<45>

133601268876622352185907336672336159248510971009313011821832315818790844740115344703364159042128152910458968806661780125809658996124572694782015443771365299875548478081703<171>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3975760482
Step 1 took 45161ms
Step 2 took 17500ms
********** Factor found in step 2: 636038400111087312789771030420542527150360933
Found prime factor of 45 digits: 636038400111087312789771030420542527150360933
Composite cofactor 133601268876622352185907336672336159248510971009313011821832315818790844740115344703364159042128152910458968806661780125809658996124572694782015443771365299875548478081703 has 171 digits

2707479564666209593399544549289874956701994959449790801649427020813789357816328117672006876874231087465837649678330069135109367237425727893198073703764664492239403930167508751296572335302380566075951751344070093172056251251047987230385577457<241>

14012772428023758298911072020898494687197176246558469513008925665139003349123958426130492901553295846170466974784986350318197669790102225172610029980055486868712294565371673876894483666651098505038383652100361188484589011163884467802109344631338013<248>

153818169079321062531993725743245628165606067<45>

91099591887598414164946729263474992312258334402781302006092253859713035638263241808541727818991029013817701968523158311147717566138238778965163006637123561647852625630178807189103776400205279096069664239<203>

Resuming ECM residue saved by @e5086d64701f with GMP-ECM 7.0.5-dev on Sat Jun 25 10:11:58 2022 
Input number is 14012772428023758298911072020898494687197176246558469513008925665139003349123958426130492901553295846170466974784986350318197669790102225172610029980055486868712294565371673876894483666651098505038383652100361188484589011163884467802109344631338013 (248 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:199400790
Step 1 took 0ms
Step 2 took 44270ms
********** Factor found in step 2: 153818169079321062531993725743245628165606067
Found prime factor of 45 digits: 153818169079321062531993725743245628165606067
Composite cofactor 91099591887598414164946729263474992312258334402781302006092253859713035638263241808541727818991029013817701968523158311147717566138238778965163006637123561647852625630178807189103776400205279096069664239 has 203 digits

93774621414394517282525539725047097970105697380460155813954737243824951746345560996222753928710898090493412157293887023112463357779833946016763056778646471506649715056979838433246930627402910608791833709<203>

155873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873<258>

1698304677345426867167620601620855325759181207351687864766166697846430667242009425418184181856792981935597150681347102829760047222537803839942520983706843900269883696155239393858297637488668165843721273819396451<211>

1348340431146322635673461239473540178148236255308860994387070438163167786014856626793934424702983421429718483309199546172153866737061040075401555674912303383480415021178170405690208113543572903509443306924797808555753059183931<226>

394660442485972647360207270588890925822379257490219845479506310092292271855899813865776572673206858076268096792297621838650834116431220776101826391090661939866453309811393399844771447912128648340792330351169<207>

951425651268782300149990025532505282979857388852023567065286886321977360913825929604384231408420969615127009026820417827003882146071353242157302438934120361933169033168422783330828816725869176260127911524777807715713240308707589014734793006304502907709870983<258>