31287175826790387818225077325719724006661908160837497025933856768974541993813942422079467047347133<98>

408794100855801311336115838629932423819<39>
76535291877479113974458233122920315983585615658254178331607<59>

02/17/22 00:46:31, nfs: commencing lattice sieving with 8 threads
02/17/22 00:46:56, nfs: commencing lattice sieving with 8 threads
02/17/22 00:47:22, nfs: commencing lattice sieving with 8 threads
02/17/22 00:47:50, nfs: commencing lattice sieving with 8 threads
02/17/22 00:48:18, nfs: commencing lattice sieving with 8 threads
02/17/22 00:48:47, nfs: commencing lattice sieving with 8 threads
02/17/22 00:49:15, nfs: commencing lattice sieving with 8 threads
02/17/22 00:49:43, nfs: commencing lattice sieving with 8 threads
02/17/22 00:50:11, nfs: commencing lattice sieving with 8 threads
02/17/22 00:50:38, nfs: commencing lattice sieving with 8 threads
02/17/22 00:51:07, nfs: commencing msieve filtering
02/17/22 00:51:31, nfs: commencing msieve linear algebra
02/17/22 00:51:41, nfs: commencing msieve sqrt
02/17/22 00:52:01, prp59 = 76535291877479113974458233122920315983585615658254178331607
02/17/22 00:52:01, C4 = 8406
02/17/22 00:52:01, prp39 = 408794100855801311336115838629932423819

38980810649530320111701489958140164023189020221275653359027137396889<68>

2373587881502771001040910423366809<34>
16422737474060032054922787569157121<35>

02/17/22 00:20:31, starting SIQS on c68: 38980810649530320111701489958140164023189020221275653359027137396889
02/17/22 00:20:31, random seed: 1727721894288488783
02/17/22 00:20:31, ==== sieve params ====
02/17/22 00:20:31, n = 68 digits, 225 bits
02/17/22 00:20:31, factor base: 9776 primes (max prime = 218651)
02/17/22 00:20:31, single large prime cutoff: 17492080 (80 * pmax)
02/17/22 00:20:31, allocating 4 large prime slices of factor base
02/17/22 00:20:31, buckets hold 2048 elements
02/17/22 00:20:31, large prime hashtables have 196608 bytes
02/17/22 00:20:31, using AVX2 enabled 32k sieve core
02/17/22 00:20:31, sieve interval: 3 blocks of size 32768
02/17/22 00:20:31, polynomial A has ~ 8 factors
02/17/22 00:20:31, using multiplier of 1
02/17/22 00:20:31, using multiplier of 1
02/17/22 00:20:31, using Q2(x) polynomials for kN mod 8 = 1
02/17/22 00:20:31, using SPV correction of 19 bits, starting at offset 26
02/17/22 00:20:31, trial factoring cutoff at 77 bits
02/17/22 00:20:31, ==== sieving started (64 threads) ====
02/17/22 00:20:33, trial division touched 807489 sieve locations out of 8433106944
02/17/22 00:20:33, total reports = 807489, total surviving reports = 171001
02/17/22 00:20:33, total blocks sieved = 257394, avg surviving reports per block = 0.66
02/17/22 00:20:33, 10808 relations found: 5222 full + 5586 from 54358 partial, using 42893 polys (514 A polys)
02/17/22 00:20:33, on average, sieving found 1.39 rels/poly and 39319.73 rels/sec
02/17/22 00:20:33, trial division touched 807489 sieve locations out of 8433106944
02/17/22 00:20:33, ==== post processing stage (msieve-1.38) ====
02/17/22 00:20:33, QS elapsed time = 1.5153 seconds.
02/17/22 00:20:33, begin singleton removal with 59580 relations
02/17/22 00:20:33, reduce to 15653 relations in 2 passes
02/17/22 00:20:33, recovered 15653 relations
02/17/22 00:20:33, recovered 13072 polynomials
02/17/22 00:20:33, attempting to build 10808 cycles
02/17/22 00:20:33, found 10808 cycles from 15653 relations in 1 passes
02/17/22 00:20:33, distribution of cycle lengths:
02/17/22 00:20:33,    length 1 : 5222
02/17/22 00:20:33,    length 2 : 5586
02/17/22 00:20:33, largest cycle: 2 relations
02/17/22 00:20:33, matrix is 9776 x 10808 (1.4 MB) with weight 276471 (25.58/col)
02/17/22 00:20:33, sparse part has weight 276471 (25.58/col)
02/17/22 00:20:33, filtering completed in 4 passes
02/17/22 00:20:33, matrix is 8849 x 8913 (1.1 MB) with weight 217382 (24.39/col)
02/17/22 00:20:33, sparse part has weight 217382 (24.39/col)
02/17/22 00:20:33, commencing Lanczos iteration
02/17/22 00:20:33, memory use: 1.5 MB
02/17/22 00:20:33, lanczos halted after 141 iterations (dim = 8845)
02/17/22 00:20:33, recovered 62 nontrivial dependencies
02/17/22 00:20:33, prp34 = 2373587881502771001040910423366809
02/17/22 00:20:33, prp35 = 16422737474060032054922787569157121
02/17/22 00:20:33, Lanczos elapsed time = 0.2150 seconds.
02/17/22 00:20:33, Sqrt elapsed time = 0.0030 seconds.
02/17/22 00:20:33, SIQS elapsed time = 1.7340 seconds.

64314412014844348422376597484234453542650620159461678154189983326243436128054918719373671<89>

608416279829128782881677687302009661<36>
105707907804351959957313467845325801951080153099223411<54>

02/17/22 00:41:40, starting SIQS on c89: 64314412014844348422376597484234453542650620159461678154189983326243436128054918719373671
02/17/22 00:41:40, random seed: 513178349493818063
02/17/22 00:41:41, ==== sieve params ====
02/17/22 00:41:41, n = 91 digits, 302 bits
02/17/22 00:41:41, factor base: 70480 primes (max prime = 1883389)
02/17/22 00:41:41, single large prime cutoff: 207172790 (110 * pmax)
02/17/22 00:41:41, double large prime range from 3547154125321 to 2427814619460251
02/17/22 00:41:41, DLP MFB = 1.85
02/17/22 00:41:41, allocating 8 large prime slices of factor base
02/17/22 00:41:41, buckets hold 2048 elements
02/17/22 00:41:41, large prime hashtables have 1048576 bytes
02/17/22 00:41:41, using AVX2 enabled 32k sieve core
02/17/22 00:41:41, sieve interval: 8 blocks of size 32768
02/17/22 00:41:41, polynomial A has ~ 12 factors
02/17/22 00:41:41, using multiplier of 71
02/17/22 00:41:41, using multiplier of 71
02/17/22 00:41:41, using Q2(x) polynomials for kN mod 8 = 1
02/17/22 00:41:41, using SPV correction of 20 bits, starting at offset 31
02/17/22 00:41:41, trial factoring cutoff at 92 bits
02/17/22 00:41:41, ==== sieving started (128 threads) ====
02/17/22 00:43:18, trial division touched 45200655 sieve locations out of 346323681280
02/17/22 00:43:18, total reports = 45200655, total surviving reports = 11768410
02/17/22 00:43:18, total blocks sieved = 10570784, avg surviving reports per block = 1.11
02/17/22 00:43:18, dlp-ecm: 10 failures, 882619 attempts, 6664965 outside range, 3938310 prp, 720440 useful
02/17/22 00:43:18, 74374 relations found: 20827 full + 53547 from 982129 partial, using 660560 polys (1289 A polys)
02/17/22 00:43:18, on average, sieving found 1.52 rels/poly and 10242.20 rels/sec
02/17/22 00:43:18, trial division touched 45200655 sieve locations out of 346323681280
02/17/22 00:43:18, ==== post processing stage (msieve-1.38) ====
02/17/22 00:43:18, QS elapsed time = 97.9239 seconds.
02/17/22 00:43:19, begin singleton removal with 1002956 relations
02/17/22 00:43:19, reduce to 178354 relations in 9 passes
02/17/22 00:43:20, recovered 178354 relations
02/17/22 00:43:20, recovered 156289 polynomials
02/17/22 00:43:20, attempting to build 74374 cycles
02/17/22 00:43:20, found 74374 cycles from 178354 relations in 6 passes
02/17/22 00:43:20, distribution of cycle lengths:
02/17/22 00:43:20,    length 1 : 20827
02/17/22 00:43:20,    length 2 : 15201
02/17/22 00:43:20,    length 3 : 13528
02/17/22 00:43:20,    length 4 : 9610
02/17/22 00:43:20,    length 5 : 6272
02/17/22 00:43:20,    length 6 : 3948
02/17/22 00:43:20,    length 7 : 2328
02/17/22 00:43:20,    length 9+: 2660
02/17/22 00:43:20, largest cycle: 20 relations
02/17/22 00:43:20, matrix is 70480 x 74374 (18.7 MB) with weight 4311271 (57.97/col)
02/17/22 00:43:20, sparse part has weight 4311271 (57.97/col)
02/17/22 00:43:20, filtering completed in 4 passes
02/17/22 00:43:20, matrix is 63643 x 63707 (15.3 MB) with weight 3503388 (54.99/col)
02/17/22 00:43:20, sparse part has weight 3503388 (54.99/col)
02/17/22 00:43:20, saving the first 48 matrix rows for later
02/17/22 00:43:20, matrix is 63595 x 63707 (13.3 MB) with weight 3064324 (48.10/col)
02/17/22 00:43:20, sparse part has weight 2854463 (44.81/col)
02/17/22 00:43:20, matrix includes 64 packed rows
02/17/22 00:43:20, using block size 25482 for processor cache size 12288 kB
02/17/22 00:43:21, commencing Lanczos iteration
02/17/22 00:43:21, memory use: 10.7 MB
02/17/22 00:43:26, lanczos halted after 1007 iterations (dim = 63594)
02/17/22 00:43:26, recovered 16 nontrivial dependencies
02/17/22 00:43:26, prp36 = 608416279829128782881677687302009661
02/17/22 00:43:26, prp54 = 105707907804351959957313467845325801951080153099223411
02/17/22 00:43:26, Lanczos elapsed time = 8.0480 seconds.
02/17/22 00:43:26, Sqrt elapsed time = 0.1160 seconds.
02/17/22 00:43:26, SIQS elapsed time = 106.0802 seconds.

272216763533718615774095323202615740018822360157587599469406310946351892844093667<81>

5090457244822967194307523471937093357<37>
53475896258742784848927724793068033870402831<44>

02/17/22 00:22:30, starting SIQS on c81: 272216763533718615774095323202615740018822360157587599469406310946351892844093667
02/17/22 00:22:30, random seed: 18135292465519693655
02/17/22 00:22:30, ==== sieve params ====
02/17/22 00:22:30, n = 82 digits, 271 bits
02/17/22 00:22:30, factor base: 49712 primes (max prime = 1292983)
02/17/22 00:22:30, single large prime cutoff: 122833385 (95 * pmax)
02/17/22 00:22:30, double large prime range from 1671805038289 to 363721988100064
02/17/22 00:22:30, DLP MFB = 1.80
02/17/22 00:22:30, allocating 7 large prime slices of factor base
02/17/22 00:22:30, buckets hold 2048 elements
02/17/22 00:22:30, large prime hashtables have 802816 bytes
02/17/22 00:22:30, using AVX2 enabled 32k sieve core
02/17/22 00:22:30, sieve interval: 7 blocks of size 32768
02/17/22 00:22:30, polynomial A has ~ 10 factors
02/17/22 00:22:30, using multiplier of 7
02/17/22 00:22:30, using multiplier of 7 (kn mod 8 == 5)
02/17/22 00:22:30, using SPV correction of 20 bits, starting at offset 32
02/17/22 00:22:30, trial factoring cutoff at 85 bits
02/17/22 00:22:30, ==== sieving started (64 threads) ====
02/17/22 00:22:50, trial division touched 17886152 sieve locations out of 69425233920
02/17/22 00:22:50, total reports = 17886152, total surviving reports = 3921640
02/17/22 00:22:50, total blocks sieved = 2119572, avg surviving reports per block = 1.85
02/17/22 00:22:50, dlp-ecm: 0 failures, 296130 attempts, 1728524 outside range, 1682585 prp, 282132 useful
02/17/22 00:22:50, 52587 relations found: 17567 full + 35020 from 478966 partial, using 151335 polys (617 A polys)
02/17/22 00:22:50, on average, sieving found 3.28 rels/poly and 25025.94 rels/sec
02/17/22 00:22:50, trial division touched 17886152 sieve locations out of 69425233920
02/17/22 00:22:50, ==== post processing stage (msieve-1.38) ====
02/17/22 00:22:50, QS elapsed time = 19.8407 seconds.
02/17/22 00:22:50, begin singleton removal with 496533 relations
02/17/22 00:22:50, reduce to 110102 relations in 9 passes
02/17/22 00:22:51, recovered 110102 relations
02/17/22 00:22:51, recovered 78282 polynomials
02/17/22 00:22:51, attempting to build 52587 cycles
02/17/22 00:22:51, found 52587 cycles from 110102 relations in 4 passes
02/17/22 00:22:51, distribution of cycle lengths:
02/17/22 00:22:51,    length 1 : 17567
02/17/22 00:22:51,    length 2 : 13302
02/17/22 00:22:51,    length 3 : 9612
02/17/22 00:22:51,    length 4 : 5813
02/17/22 00:22:51,    length 5 : 3242
02/17/22 00:22:51,    length 6 : 1603
02/17/22 00:22:51,    length 7 : 798
02/17/22 00:22:51,    length 9+: 650
02/17/22 00:22:51, largest cycle: 16 relations
02/17/22 00:22:51, matrix is 49712 x 52587 (10.6 MB) with weight 2364736 (44.97/col)
02/17/22 00:22:51, sparse part has weight 2364736 (44.97/col)
02/17/22 00:22:51, filtering completed in 4 passes
02/17/22 00:22:51, matrix is 41831 x 41895 (8.2 MB) with weight 1820977 (43.47/col)
02/17/22 00:22:51, sparse part has weight 1820977 (43.47/col)
02/17/22 00:22:51, saving the first 48 matrix rows for later
02/17/22 00:22:51, matrix is 41783 x 41895 (7.2 MB) with weight 1576631 (37.63/col)
02/17/22 00:22:51, sparse part has weight 1455455 (34.74/col)
02/17/22 00:22:51, matrix includes 64 packed rows
02/17/22 00:22:51, using block size 16758 for processor cache size 12288 kB
02/17/22 00:22:51, commencing Lanczos iteration
02/17/22 00:22:51, memory use: 6.0 MB
02/17/22 00:22:53, lanczos halted after 662 iterations (dim = 41783)
02/17/22 00:22:53, recovered 17 nontrivial dependencies
02/17/22 00:22:53, prp37 = 5090457244822967194307523471937093357
02/17/22 00:22:53, prp44 = 53475896258742784848927724793068033870402831
02/17/22 00:22:53, Lanczos elapsed time = 3.0650 seconds.
02/17/22 00:22:53, Sqrt elapsed time = 0.0330 seconds.
02/17/22 00:22:53, SIQS elapsed time = 22.9338 seconds.
02/17/22 00:22:53, 

14611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<122>

37481085083358662228847507269023545287<38>
389826257127180705022562620496308557612284021157976636460320121080973625881806730753<84>

N=14611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
  ( 122 digits)
SNFS difficulty: 122 digits.
Divisors found:
p38 factor: 37481085083358662228847507269023545287
p84 factor: 389826257127180705022562620496308557612284021157976636460320121080973625881806730753
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.24 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 14611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
m: 1000000000000000000000000000000
deg: 4
c4: 263
c0: -2
skew: 0.30
# Murphy_E = 3.644e-08
type: snfs
lss: 1
rlim: 770000
alim: 770000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 770000/770000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [385000, 685001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 65520 x 65746
Total sieving time: 1.22 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,122.000,4,0,0,0,0,0,0,0,0,770000,770000,25,25,46,46,2.2,2.2,75000
total time: 1.24 hours.
 --------- CPU info (if available) ----------

17587814494294934728909909085525759691779643279187876103619643707252902252056429<80>

231002014629512115550592640419238031<36>
76137061066340886297350623770876102972974659<44>

02/17/22 00:21:28, starting SIQS on c80: 17587814494294934728909909085525759691779643279187876103619643707252902252056429
02/17/22 00:21:28, random seed: 16944264182582733615
02/17/22 00:21:28, ==== sieve params ====
02/17/22 00:21:28, n = 81 digits, 267 bits
02/17/22 00:21:28, factor base: 45952 primes (max prime = 1184993)
02/17/22 00:21:28, single large prime cutoff: 106649370 (90 * pmax)
02/17/22 00:21:28, double large prime range from 1404208410049 to 111924977324445
02/17/22 00:21:28, DLP MFB = 1.75
02/17/22 00:21:28, allocating 7 large prime slices of factor base
02/17/22 00:21:28, buckets hold 2048 elements
02/17/22 00:21:28, large prime hashtables have 688128 bytes
02/17/22 00:21:28, using AVX2 enabled 32k sieve core
02/17/22 00:21:28, sieve interval: 6 blocks of size 32768
02/17/22 00:21:28, polynomial A has ~ 10 factors
02/17/22 00:21:28, using multiplier of 13
02/17/22 00:21:28, using multiplier of 13
02/17/22 00:21:28, using Q2(x) polynomials for kN mod 8 = 1
02/17/22 00:21:28, using SPV correction of 20 bits, starting at offset 32
02/17/22 00:21:28, trial factoring cutoff at 86 bits
02/17/22 00:21:28, ==== sieving started (64 threads) ====
02/17/22 00:21:42, trial division touched 9462284 sieve locations out of 49882202112
02/17/22 00:21:42, total reports = 9462284, total surviving reports = 2374957
02/17/22 00:21:42, total blocks sieved = 1523004, avg surviving reports per block = 1.56
02/17/22 00:21:42, dlp-ecm: 0 failures, 84371 attempts, 1337880 outside range, 720045 prp, 82864 useful
02/17/22 00:21:42, 47458 relations found: 20087 full + 27371 from 295438 partial, using 126857 polys (527 A polys)
02/17/22 00:21:42, on average, sieving found 2.49 rels/poly and 22687.70 rels/sec
02/17/22 00:21:42, trial division touched 9462284 sieve locations out of 49882202112
02/17/22 00:21:42, ==== post processing stage (msieve-1.38) ====
02/17/22 00:21:42, QS elapsed time = 13.9073 seconds.
02/17/22 00:21:42, begin singleton removal with 315525 relations
02/17/22 00:21:42, reduce to 80642 relations in 6 passes
02/17/22 00:21:43, recovered 80642 relations
02/17/22 00:21:43, recovered 59787 polynomials
02/17/22 00:21:43, attempting to build 47458 cycles
02/17/22 00:21:43, found 47458 cycles from 80642 relations in 3 passes
02/17/22 00:21:43, distribution of cycle lengths:
02/17/22 00:21:43,    length 1 : 20087
02/17/22 00:21:43,    length 2 : 17232
02/17/22 00:21:43,    length 3 : 6680
02/17/22 00:21:43,    length 4 : 2294
02/17/22 00:21:43,    length 5 : 794
02/17/22 00:21:43,    length 6 : 255
02/17/22 00:21:43,    length 7 : 74
02/17/22 00:21:43,    length 9+: 42
02/17/22 00:21:43, largest cycle: 13 relations
02/17/22 00:21:43, matrix is 45952 x 47458 (7.8 MB) with weight 1676412 (35.32/col)
02/17/22 00:21:43, sparse part has weight 1676412 (35.32/col)
02/17/22 00:21:43, filtering completed in 4 passes
02/17/22 00:21:43, matrix is 34572 x 34636 (5.9 MB) with weight 1272671 (36.74/col)
02/17/22 00:21:43, sparse part has weight 1272671 (36.74/col)
02/17/22 00:21:43, saving the first 48 matrix rows for later
02/17/22 00:21:43, matrix is 34524 x 34636 (5.1 MB) with weight 1073469 (30.99/col)
02/17/22 00:21:43, sparse part has weight 986939 (28.49/col)
02/17/22 00:21:43, matrix includes 64 packed rows
02/17/22 00:21:43, using block size 13854 for processor cache size 12288 kB
02/17/22 00:21:43, commencing Lanczos iteration
02/17/22 00:21:43, memory use: 4.5 MB
02/17/22 00:21:44, lanczos halted after 547 iterations (dim = 34518)
02/17/22 00:21:44, recovered 13 nontrivial dependencies
02/17/22 00:21:44, prp36 = 231002014629512115550592640419238031
02/17/22 00:21:44, prp44 = 76137061066340886297350623770876102972974659
02/17/22 00:21:44, Lanczos elapsed time = 1.9860 seconds.
02/17/22 00:21:44, Sqrt elapsed time = 0.1070 seconds.
02/17/22 00:21:44, SIQS elapsed time = 15.9917 seconds.

1013875758137065026272640384760772878396160398041295935198889535614299725422155950257236699613897760431932391<109>

194220638118014771268823967501002502340767<42>
5220226686316421058793953044770841576243143570970087303769278009273<67>

N=1013875758137065026272640384760772878396160398041295935198889535614299725422155950257236699613897760431932391
  ( 109 digits)
SNFS difficulty: 127 digits.
Divisors found:
p42 factor: 194220638118014771268823967501002502340767
p67 factor: 5220226686316421058793953044770841576243143570970087303769278009273
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.01 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1013875758137065026272640384760772878396160398041295935198889535614299725422155950257236699613897760431932391
m: 10000000000000000000000000000000
deg: 4
c4: 1315
c0: -1
skew: 0.17
# Murphy_E = 1.887e-08
type: snfs
lss: 1
rlim: 920000
alim: 920000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 920000/920000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [460000, 835001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 104540 x 104768
Total sieving time: 1.97 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,127.000,4,0,0,0,0,0,0,0,0,920000,920000,26,26,46,46,2.3,2.3,75000
total time: 2.01 hours.
 --------- CPU info (if available) ----------

3811925674696350407281792619648085340754268487114821578688001855233788445372061338667130475113778009682001333449285445111169087167<130>

998487947967591316043267115968800065302756249<45>
3817698233068785105415710470057010206841547944976155019165894107911065702166250306583<85>

N=3811925674696350407281792619648085340754268487114821578688001855233788445372061338667130475113778009682001333449285445111169087167
  ( 130 digits)
SNFS difficulty: 134 digits.
Divisors found:
p45 factor: 998487947967591316043267115968800065302756249
p85 factor: 3817698233068785105415710470057010206841547944976155019165894107911065702166250306583
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 4.24 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 3811925674696350407281792619648085340754268487114821578688001855233788445372061338667130475113778009682001333449285445111169087167
m: 1000000000000000000000000000000000
deg: 4
c4: 263
c0: -2
skew: 0.30
# Murphy_E = 9.548e-09
type: snfs
lss: 1
rlim: 1220000
alim: 1220000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1220000/1220000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [610000, 1310001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 141579 x 141804
Total sieving time: 4.18 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,134.000,4,0,0,0,0,0,0,0,0,1220000,1220000,26,26,47,47,2.3,2.3,100000
total time: 4.24 hours.
 --------- CPU info (if available) ----------

4039129549906129956288560882901745608026857983833953747856880941692390736380832567103945267204231369555599440597<112>

52945251124275622963759722499114040913108293735063<50>
76288797656758527829789339814097868691305808268021306519848819<62>

N=4039129549906129956288560882901745608026857983833953747856880941692390736380832567103945267204231369555599440597
  ( 112 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=52945251124275622963759722499114040913108293735063 (pp50)
 r2=76288797656758527829789339814097868691305808268021306519848819 (pp62)
Version: Msieve v. 1.52 (SVN 927)
Total time: 4.16 hours.
Scaled time: 32.55 units (timescale=7.825).
Factorization parameters were as follows:
n: 4039129549906129956288560882901745608026857983833953747856880941692390736380832567103945267204231369555599440597
m: 1000000000000000000000000000000000
deg: 4
c4: 13150
c0: -1
skew: 0.09
# Murphy_E = 5.505e-09
type: snfs
lss: 1
rlim: 1300000
alim: 1300000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [650000, 1750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 213105 x 213330
Total sieving time: 4.13 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,136.000,4,0,0,0,0,0,0,0,0,1300000,1300000,26,26,48,48,2.3,2.3,100000
total time: 4.16 hours.

GNFS, Msieve

104027915780736856703700382279297613614607717954156288687592148011315159734474986483714063543<93>

1105603688849126709246957845289145845590119771<46>
94091505690456095971951921792358818047625554133<47>

02/17/22 00:31:01, starting SIQS on c93: 104027915780736856703700382279297613614607717954156288687592148011315159734474986483714063543
02/17/22 00:31:01, random seed: 3499235134527664039
02/17/22 00:31:01, ==== sieve params ====
02/17/22 00:31:01, n = 93 digits, 309 bits
02/17/22 00:31:01, factor base: 81328 primes (max prime = 2206469)
02/17/22 00:31:01, single large prime cutoff: 264776280 (120 * pmax)
02/17/22 00:31:01, double large prime range from 4868505447961 to 3822313382739881
02/17/22 00:31:01, DLP MFB = 1.85
02/17/22 00:31:01, allocating 8 large prime slices of factor base
02/17/22 00:31:01, buckets hold 2048 elements
02/17/22 00:31:01, large prime hashtables have 1179648 bytes
02/17/22 00:31:01, using AVX2 enabled 32k sieve core
02/17/22 00:31:01, sieve interval: 9 blocks of size 32768
02/17/22 00:31:01, polynomial A has ~ 12 factors
02/17/22 00:31:01, using multiplier of 7
02/17/22 00:31:01, using multiplier of 7
02/17/22 00:31:01, using Q2(x) polynomials for kN mod 8 = 1
02/17/22 00:31:01, using SPV correction of 21 bits, starting at offset 38
02/17/22 00:31:01, trial factoring cutoff at 94 bits
02/17/22 00:31:01, ==== sieving started (96 threads) ====
02/17/22 00:33:40, trial division touched 60491102 sieve locations out of 578637987840
02/17/22 00:33:40, total reports = 60491102, total surviving reports = 14642879
02/17/22 00:33:40, total blocks sieved = 17660142, avg surviving reports per block = 0.83
02/17/22 00:33:40, dlp-ecm: 34 failures, 1086248 attempts, 8406144 outside range, 4814469 prp, 884448 useful
02/17/22 00:33:40, 87290 relations found: 23786 full + 63504 from 1196680 partial, using 981035 polys (1251 A polys)
02/17/22 00:33:40, on average, sieving found 1.24 rels/poly and 7672.46 rels/sec
02/17/22 00:33:40, trial division touched 60491102 sieve locations out of 578637987840
02/17/22 00:33:40, ==== post processing stage (msieve-1.38) ====
02/17/22 00:33:40, QS elapsed time = 159.0711 seconds.
02/17/22 00:33:41, begin singleton removal with 1220466 relations
02/17/22 00:33:41, reduce to 210659 relations in 10 passes
02/17/22 00:33:42, recovered 210659 relations
02/17/22 00:33:42, recovered 189549 polynomials
02/17/22 00:33:42, attempting to build 87290 cycles
02/17/22 00:33:42, found 87290 cycles from 210659 relations in 6 passes
02/17/22 00:33:42, distribution of cycle lengths:
02/17/22 00:33:42,    length 1 : 23786
02/17/22 00:33:42,    length 2 : 17982
02/17/22 00:33:42,    length 3 : 15775
02/17/22 00:33:42,    length 4 : 11443
02/17/22 00:33:42,    length 5 : 7642
02/17/22 00:33:42,    length 6 : 4771
02/17/22 00:33:42,    length 7 : 2707
02/17/22 00:33:42,    length 9+: 3184
02/17/22 00:33:42, largest cycle: 21 relations
02/17/22 00:33:43, matrix is 81328 x 87290 (22.8 MB) with weight 5289565 (60.60/col)
02/17/22 00:33:43, sparse part has weight 5289565 (60.60/col)
02/17/22 00:33:43, filtering completed in 4 passes
02/17/22 00:33:43, matrix is 73580 x 73644 (18.1 MB) with weight 4154110 (56.41/col)
02/17/22 00:33:43, sparse part has weight 4154110 (56.41/col)
02/17/22 00:33:43, saving the first 48 matrix rows for later
02/17/22 00:33:43, matrix is 73532 x 73644 (15.4 MB) with weight 3607035 (48.98/col)
02/17/22 00:33:43, sparse part has weight 3292670 (44.71/col)
02/17/22 00:33:43, matrix includes 64 packed rows
02/17/22 00:33:43, using block size 29457 for processor cache size 12288 kB
02/17/22 00:33:43, commencing Lanczos iteration
02/17/22 00:33:43, memory use: 12.4 MB
02/17/22 00:33:51, lanczos halted after 1165 iterations (dim = 73531)
02/17/22 00:33:51, recovered 16 nontrivial dependencies
02/17/22 00:33:51, prp47 = 94091505690456095971951921792358818047625554133
02/17/22 00:33:51, prp46 = 1105603688849126709246957845289145845590119771
02/17/22 00:33:51, Lanczos elapsed time = 10.8060 seconds.
02/17/22 00:33:51, Sqrt elapsed time = 0.0690 seconds.
02/17/22 00:33:51, SIQS elapsed time = 169.9546 seconds.

42331331728600131605660288794242638601357730028405209511292977443681092825225163366604207375723<95>

8410521637246825294212049437689181159373<40>
5033139863897579243329324822194628044377002630918844951<55>

02/17/22 00:34:43, starting SIQS on c95: 42331331728600131605660288794242638601357730028405209511292977443681092825225163366604207375723
02/17/22 00:34:43, random seed: 15391280699002372567
02/17/22 00:34:44, ==== sieve params ====
02/17/22 00:34:44, n = 96 digits, 316 bits
02/17/22 00:34:44, factor base: 92928 primes (max prime = 2552513)
02/17/22 00:34:44, single large prime cutoff: 331826690 (130 * pmax)
02/17/22 00:34:44, double large prime range from 6515322615169 to 5803445797916684
02/17/22 00:34:44, DLP MFB = 1.85
02/17/22 00:34:44, allocating 8 large prime slices of factor base
02/17/22 00:34:44, buckets hold 2048 elements
02/17/22 00:34:44, large prime hashtables have 1310720 bytes
02/17/22 00:34:44, using AVX2 enabled 32k sieve core
02/17/22 00:34:44, sieve interval: 10 blocks of size 32768
02/17/22 00:34:44, polynomial A has ~ 12 factors
02/17/22 00:34:44, using multiplier of 3
02/17/22 00:34:44, using multiplier of 3
02/17/22 00:34:44, using Q2(x) polynomials for kN mod 8 = 1
02/17/22 00:34:44, using SPV correction of 20 bits, starting at offset 32
02/17/22 00:34:44, trial factoring cutoff at 95 bits
02/17/22 00:34:44, ==== sieving started (128 threads) ====
02/17/22 00:40:13, trial division touched 123910008 sieve locations out of 1170779668480
02/17/22 00:40:13, total reports = 123910008, total surviving reports = 27492026
02/17/22 00:40:13, total blocks sieved = 35731240, avg surviving reports per block = 0.77
02/17/22 00:40:13, dlp-ecm: 58 failures, 1467250 attempts, 19362588 outside range, 6297227 prp, 1180564 useful
02/17/22 00:40:13, 99612 relations found: 24759 full + 74853 from 1520766 partial, using 1786468 polys (1793 A polys)
02/17/22 00:40:13, on average, sieving found 0.87 rels/poly and 4683.54 rels/sec
02/17/22 00:40:13, trial division touched 123910008 sieve locations out of 1170779668480
02/17/22 00:40:13, ==== post processing stage (msieve-1.38) ====
02/17/22 00:40:13, QS elapsed time = 329.9904 seconds.
02/17/22 00:40:14, begin singleton removal with 1545525 relations
02/17/22 00:40:14, reduce to 257838 relations in 12 passes
02/17/22 00:40:16, failed to read relation 197361
02/17/22 00:40:16, recovered 257837 relations
02/17/22 00:40:16, recovered 240108 polynomials
02/17/22 00:40:16, attempting to build 99611 cycles
02/17/22 00:40:16, found 99611 cycles from 257837 relations in 5 passes
02/17/22 00:40:16, distribution of cycle lengths:
02/17/22 00:40:16,    length 1 : 24758
02/17/22 00:40:16,    length 2 : 17527
02/17/22 00:40:16,    length 3 : 17121
02/17/22 00:40:16,    length 4 : 13393
02/17/22 00:40:16,    length 5 : 9843
02/17/22 00:40:16,    length 6 : 6798
02/17/22 00:40:16,    length 7 : 4308
02/17/22 00:40:16,    length 9+: 5863
02/17/22 00:40:16, largest cycle: 19 relations
02/17/22 00:40:16, matrix is 92928 x 99611 (28.7 MB) with weight 6730384 (67.57/col)
02/17/22 00:40:16, sparse part has weight 6730384 (67.57/col)
02/17/22 00:40:17, filtering completed in 4 passes
02/17/22 00:40:17, matrix is 86541 x 86605 (23.3 MB) with weight 5406280 (62.42/col)
02/17/22 00:40:17, sparse part has weight 5406280 (62.42/col)
02/17/22 00:40:17, saving the first 48 matrix rows for later
02/17/22 00:40:17, matrix is 86493 x 86605 (20.1 MB) with weight 4765462 (55.03/col)
02/17/22 00:40:17, sparse part has weight 4407250 (50.89/col)
02/17/22 00:40:17, matrix includes 64 packed rows
02/17/22 00:40:17, using block size 34642 for processor cache size 12288 kB
02/17/22 00:40:17, commencing Lanczos iteration
02/17/22 00:40:17, memory use: 15.9 MB
02/17/22 00:40:30, lanczos halted after 1368 iterations (dim = 86493)
02/17/22 00:40:30, recovered 17 nontrivial dependencies
02/17/22 00:40:31, prp40 = 8410521637246825294212049437689181159373
02/17/22 00:40:31, prp55 = 5033139863897579243329324822194628044377002630918844951
02/17/22 00:40:31, Lanczos elapsed time = 16.9680 seconds.
02/17/22 00:40:31, Sqrt elapsed time = 0.1770 seconds.
02/17/22 00:40:31, SIQS elapsed time = 347.1360 seconds.

308396638751432856736821662356415062997356652471142226055235300476814999783963500972574266329901824196581990298174519191993<123>

293092156332023057184291824254922154551120472460226284078949<60>
1052217304655783590546834748129551224972351733717422370740553157<64>

Number: 29222_145
N = 308396638751432856736821662356415062997356652471142226055235300476814999783963500972574266329901824196581990298174519191993 (123 digits)
SNFS difficulty: 148 digits.
Divisors found:
r1=293092156332023057184291824254922154551120472460226284078949 (pp60)
r2=1052217304655783590546834748129551224972351733717422370740553157 (pp64)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 7.34 hours.
Factorization parameters were as follows:
n: 308396638751432856736821662356415062997356652471142226055235300476814999783963500972574266329901824196581990298174519191993
m: 1000000000000000000000000000000000000
deg: 4
c4: 1315
c0: -1
skew: 0.17
# Murphy_E = 1.925e-09
type: snfs
lss: 1
rlim: 1980000
alim: 1980000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1980000/1980000
Large primes per side: 3
Large prime bits: 26/26
Sieved rational special-q in [0, 0)
Total raw relations: 6318848
Relations: 340604 relations
Pruned matrix : 254577 x 254812
Polynomial selection time: 0.00 hours.
Total sieving time: 7.29 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.01 hours.
time per square root: 0.01 hours.
Prototype def-par.txt line would be: snfs,148,4,0,0,0,0,0,0,0,0,1980000,1980000,26,26,49,49,2.3,2.3,100000
total time: 7.34 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz

GGNFS, Msieve

910996389656311314471625382422368614025878687486073682544732711528174878136814363224639504226185513802386047029137470957640415824969<132>

148333456308014829497751745872706288288573905055273<51>
6141543602709727256877105015045364050128746034293318354792693858964739151686283553<82>

Number: 29222_150
N = 910996389656311314471625382422368614025878687486073682544732711528174878136814363224639504226185513802386047029137470957640415824969 (132 digits)
SNFS difficulty: 153 digits.
Divisors found:
r1=148333456308014829497751745872706288288573905055273 (pp51)
r2=6141543602709727256877105015045364050128746034293318354792693858964739151686283553 (pp82)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 4.81 hours.
Factorization parameters were as follows:
n: 910996389656311314471625382422368614025878687486073682544732711528174878136814363224639504226185513802386047029137470957640415824969
m: 1000000000000000000000000000000
deg: 5
c5: 263
c0: -2
skew: 0.38
# Murphy_E = 1.199e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 7952089
Relations: 669590 relations
Pruned matrix : 391562 x 391787
Polynomial selection time: 0.00 hours.
Total sieving time: 4.73 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.03 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: snfs,153,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
total time: 4.81 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz

GGNFS, Msieve

8299634764947116778518288232581542317909500365963401059552202073927882687370234973768452068318528773038105668134894146868455970724745629921987157<145>

1790861680098624230861295786799841384740631689<46>
4634436515772702803979088948005129103630842190244363825969541897883625244281574029117008717612616813<100>

Number: 29222_151
N = 8299634764947116778518288232581542317909500365963401059552202073927882687370234973768452068318528773038105668134894146868455970724745629921987157 (145 digits)
SNFS difficulty: 154 digits.
Divisors found:
r1=1790861680098624230861295786799841384740631689 (pp46)
r2=4634436515772702803979088948005129103630842190244363825969541897883625244281574029117008717612616813 (pp100)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 6.71 hours.
Factorization parameters were as follows:
n: 8299634764947116778518288232581542317909500365963401059552202073927882687370234973768452068318528773038105668134894146868455970724745629921987157
m: 1000000000000000000000000000000
deg: 5
c5: 1315
c0: -1
skew: 0.24
# Murphy_E = 1.168e-09
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 7703377
Relations: 765678 relations
Pruned matrix : 437330 x 437559
Polynomial selection time: 0.00 hours.
Total sieving time: 6.55 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.09 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: snfs,154,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 6.71 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 8, speed: 3.50GHz

GGNFS, Msieve

3074460843960728325375506089768050585532099325709955691391254993507476075424163316082841452115938066710402185722170341823591313<127>

5377988952045820342540739824437947770298363058427929720131309<61>
571674815879118598362269470381474307535828086730811165726738546357<66>

Number: 29222_153
N = 3074460843960728325375506089768050585532099325709955691391254993507476075424163316082841452115938066710402185722170341823591313 (127 digits)
SNFS difficulty: 156 digits.
Divisors found:
r1=5377988952045820342540739824437947770298363058427929720131309 (pp61)
r2=571674815879118598362269470381474307535828086730811165726738546357 (pp66)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 22.49 hours.
Factorization parameters were as follows:
n: 3074460843960728325375506089768050585532099325709955691391254993507476075424163316082841452115938066710402185722170341823591313
m: 100000000000000000000000000000000000000
deg: 4
c4: 1315
c0: -1
skew: 0.17
# Murphy_E = 7.484e-10
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 8486519
Relations: 926974 relations
Pruned matrix : 541062 x 541287
Polynomial selection time: 0.00 hours.
Total sieving time: 22.30 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.09 hours.
time per square root: 0.04 hours.
Prototype def-par.txt line would be: snfs,156,4,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 22.49 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz

GGNFS, Msieve

2942007320121256258202214230136822844711976076189940074779706532268865001423871133449513941749035706041404462874144358206742920726927877298097<142>

2167144120541171511619439096249028193<37>
115396924500340979573269559455235398769000568723479<51>
11764181618568038126309430429943332563447554200276340951<56>

N=2942007320121256258202214230136822844711976076189940074779706532268865001423871133449513941749035706041404462874144358206742920726927877298097
  ( 142 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=2167144120541171511619439096249028193 (pp37)
 r2=115396924500340979573269559455235398769000568723479 (pp51)
 r3=11764181618568038126309430429943332563447554200276340951 (pp56)
Version: Msieve v. 1.52 (SVN 927)
Total time: 15.00 hours.
Scaled time: 118.58 units (timescale=7.905).
Factorization parameters were as follows:
n: 2942007320121256258202214230136822844711976076189940074779706532268865001423871133449513941749035706041404462874144358206742920726927877298097
m: 5000000000000000000000000000000
deg: 5
c5: 2104
c0: -5
skew: 0.30
# Murphy_E = 6.231e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 540046 x 540273
Total sieving time: 14.85 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 15.00 hours.

GNFS, Msieve

14836708588910349253400502519781381377832314761879686639120786628127239138329432956465523054769528450370139<107>

5762334478761092044928150822950966143428327210594333<52>
2574773929489122116555125828771582262127454935952378583<55>

14836708588910349253400502519781381377832314761879686639120786628127239138329432956465523054769528450370139=5762334478761092044928150822950966143428327210594333*2574773929489122116555125828771582262127454935952378583

cado polynomial
n: 14836708588910349253400502519781381377832314761879686639120786628127239138329432956465523054769528450370139
skew: 3775.672
c0: 75545788836200021808440
c1: 38239413359480171746
c2: -16229305566558901
c3: -6727178580341
c4: 1562801376
c5: 80640
Y0: -307757507568474520228
Y1: 1068341879664809
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 2.945e-06
# f(x) = 80640*x^5+1562801376*x^4-6727178580341*x^3-16229305566558901*x^2+38239413359480171746*x+75545788836200021808440
# g(x) = 1068341879664809*x-307757507568474520228

cado parameters (extracts)
tasks.lim0 = 1000000
tasks.lim1 = 1600000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2574773929489122116555125828771582262127454935952378583 5762334478761092044928150822950966143428327210594333
Info:Square Root: Total cpu/real time for sqrt: 64.6/19.5243
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 58.73/60.8463
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 44.2s
Info:Square Root: Total cpu/real time for sqrt: 64.6/19.5243
Info:Filtering - Singleton removal: Total cpu/real time for purge: 37.18/42.1558
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4960161
Info:Lattice Sieving: Average J: 1891.59 for 55451 special-q, max bucket fill -bkmult 1.0,1s:1.307120
Info:Lattice Sieving: Total time: 5151.51s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.53/0.416448
Info:Linear Algebra: Total cpu/real time for bwc: 566.57/147.99
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 333.79, WCT time 85.88, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7040 iterations)
Info:Linear Algebra: Lingen CPU time 29.92, WCT time 7.64
Info:Linear Algebra: Mksol: CPU time 186.88,  WCT time 48.17, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3584 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.9/16.4607
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 18.86/19.48
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.099999999999998s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 140.31
Info:Polynomial Selection (root optimized): Rootsieve time: 139.68
Info:Filtering - Merging: Merged matrix has 221970 rows and total weight 32302855 (145.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 28.32/8.70094
Info:Filtering - Merging: Total cpu/real time for replay: 6.94/5.52509
Info:Quadratic Characters: Total cpu/real time for characters: 8.14/3.12536
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 9731/30.350/37.632/44.350/1.101
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7509/30.010/33.356/38.070/0.880
Info:Polynomial Selection (size optimized): Total time: 486.32
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 10670.7/3085.36
Info:root: Cleaning up computation data in /tmp/cado.389gpehj
2574773929489122116555125828771582262127454935952378583 5762334478761092044928150822950966143428327210594333

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)

283283279923814539250110162604664047821620769808492360850563992232847176339097562168663696076627556353190796212367758014200315683226321<135>

14166351962464432425504719421748894113697649258191828987584221359<65>
19996911037817636099348978026436561132753947791012938718465532154299519<71>

N=283283279923814539250110162604664047821620769808492360850563992232847176339097562168663696076627556353190796212367758014200315683226321
  ( 135 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=14166351962464432425504719421748894113697649258191828987584221359 (pp65)
 r2=19996911037817636099348978026436561132753947791012938718465532154299519 (pp71)
Version: Msieve v. 1.52 (SVN 927)
Total time: 17.49 hours.
Scaled time: 138.19 units (timescale=7.899).
Factorization parameters were as follows:
n: 283283279923814539250110162604664047821620769808492360850563992232847176339097562168663696076627556353190796212367758014200315683226321
m: 10000000000000000000000000000000
deg: 5
c5: 13150
c0: -1
skew: 0.15
# Murphy_E = 5.257e-10
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1550000, 3050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 532479 x 532704
Total sieving time: 17.37 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,159.000,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 17.49 hours.

GNFS, Msieve

6764257151904559386111751666320289016882313266273577140319871849469224946084065518818501647092326139560604071706657499548558664178755116426266813<145>

1154911351344180921290155901519909442579079<43>
5856949231671989345271588398381236198969800972284907847407303355547026981003432369398450429474771201947<103>

Run 473 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1074637061
Step 1 took 11301ms
Step 2 took 5252ms
********** Factor found in step 2: 1154911351344180921290155901519909442579079
Found prime factor of 43 digits: 1154911351344180921290155901519909442579079
Prime cofactor 5856949231671989345271588398381236198969800972284907847407303355547026981003432369398450429474771201947 has 103 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

536477501230165481807256934198686034073240594145231061438025551264135579237048486225958542972836900510877441405294400517421109735728880853119151323887153<153>

1107748409974514780251211915041369<34>
484295437844508264709727517216580310515012971109049168568961933990131542801524286881080590802230282943615659035819888537<120>

Run 184 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2308488418
Step 1 took 5618ms
Step 2 took 2985ms
********** Factor found in step 2: 1107748409974514780251211915041369
Found prime factor of 34 digits: 1107748409974514780251211915041369
Prime cofactor 484295437844508264709727517216580310515012971109049168568961933990131542801524286881080590802230282943615659035819888537 has 120 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

656369862682971376366254383058384843139331012687015536340983569981191677919957406861641385568046075982841621672152249737896667355844072561<138>

78325643107767187991045383524722417930378431054920906171287<59>
8380012428112221200132221745539384435451083797142332144326082328933591049890103<79>

Number: n
N=656369862682971376366254383058384843139331012687015536340983569981191677919957406861641385568046075982841621672152249737896667355844072561  ( 138 digits)
SNFS difficulty: 175 digits.
Divisors found:

Sat Jun 11 01:15:00 2022  p59 factor: 78325643107767187991045383524722417930378431054920906171287
Sat Jun 11 01:15:00 2022  p79 factor: 8380012428112221200132221745539384435451083797142332144326082328933591049890103
Sat Jun 11 01:15:00 2022  elapsed time 00:20:56 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 263x10^173-2 = 292(173)
#
n: 656369862682971376366254383058384843139331012687015536340983569981191677919957406861641385568046075982841621672152249737896667355844072561
m: 10000000000000000000000000000000000
deg: 5
c5: 131500
c0: -1
skew: 0.09
# Murphy_E = 1.072e-10
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 22900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4825702 hash collisions in 29726642 relations (26215588 unique)
Msieve: matrix is 863004 x 863230 (289.2 MB)

Sieving start time : 2022/06/10 22:35:10
Sieving end time  : 2022/06/11 00:53:36

Total sieving time: 2hrs 18min 26secs.

Total relation processing time: 0hrs 11min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 2sec.

Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

8519952710151846883581314652297354396561216895750073167035102993610888792148944583428456216770231333038741016162415634214706976214710470490287<142>

17036278539039545408405972885823191387311<41>
500106445819603065479963792792430977731436317346569736346323708098225836447199529324362505429074646017<102>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1660734855
Step 1 took 5875ms
Step 2 took 3312ms
********** Factor found in step 2: 17036278539039545408405972885823191387311
Found prime factor of 41 digits: 17036278539039545408405972885823191387311
Prime cofactor 500106445819603065479963792792430977731436317346569736346323708098225836447199529324362505429074646017 has 102 digits
 

GMP-ECM

17113993074302468896926551882130828408402675595475155592578576670902239266529498491321904513451811685779479249781440749626634557693212784473965983<146>

23893512141658584857825801790526736140260628851356409658247<59>
716261090995661766163078549098141097441232602557947230205558021581248990075917236706089<87>

Thu Feb 24 20:09:52 2022  Msieve v. 1.53 (SVN unknown)
Thu Feb 24 20:09:52 2022  random seeds: 9eedd420 6503fc6e
Thu Feb 24 20:09:52 2022  factoring 17113993074302468896926551882130828408402675595475155592578576670902239266529498491321904513451811685779479249781440749626634557693212784473965983 (146 digits)
Thu Feb 24 20:09:53 2022  searching for 15-digit factors
Thu Feb 24 20:09:53 2022  commencing number field sieve (146-digit input)
Thu Feb 24 20:09:53 2022  R0: -100000000000000000000000000000000000
Thu Feb 24 20:09:53 2022  R1: 1
Thu Feb 24 20:09:53 2022  A0: -1
Thu Feb 24 20:09:53 2022  A1: 0
Thu Feb 24 20:09:53 2022  A2: 0
Thu Feb 24 20:09:53 2022  A3: 0
Thu Feb 24 20:09:53 2022  A4: 0
Thu Feb 24 20:09:53 2022  A5: 13150
Thu Feb 24 20:09:53 2022  skew 0.15, size 1.021e-12, alpha 0.918, combined = 8.540e-11 rroots = 1
Thu Feb 24 20:09:53 2022  
Thu Feb 24 20:09:53 2022  commencing square root phase
Thu Feb 24 20:09:53 2022  reading relations for dependency 1
Thu Feb 24 20:09:53 2022  read 731928 cycles
Thu Feb 24 20:09:54 2022  cycles contain 2489652 unique relations
Thu Feb 24 20:10:13 2022  read 2489652 relations
Thu Feb 24 20:10:21 2022  multiplying 2489652 relations
Thu Feb 24 20:11:16 2022  multiply complete, coefficients have about 85.92 million bits
Thu Feb 24 20:11:17 2022  initial square root is modulo 1468781
Thu Feb 24 20:12:21 2022  GCD is N, no factor found
Thu Feb 24 20:12:21 2022  reading relations for dependency 2
Thu Feb 24 20:12:21 2022  read 732695 cycles
Thu Feb 24 20:12:22 2022  cycles contain 2497342 unique relations
Thu Feb 24 20:12:40 2022  read 2497342 relations
Thu Feb 24 20:12:48 2022  multiplying 2497342 relations
Thu Feb 24 20:13:44 2022  multiply complete, coefficients have about 86.17 million bits
Thu Feb 24 20:13:45 2022  initial square root is modulo 1533101
Thu Feb 24 20:14:49 2022  GCD is 1, no factor found
Thu Feb 24 20:14:49 2022  reading relations for dependency 3
Thu Feb 24 20:14:49 2022  read 733126 cycles
Thu Feb 24 20:14:50 2022  cycles contain 2493318 unique relations
Thu Feb 24 20:15:09 2022  read 2493318 relations
Thu Feb 24 20:15:17 2022  multiplying 2493318 relations
Thu Feb 24 20:16:12 2022  multiply complete, coefficients have about 86.04 million bits
Thu Feb 24 20:16:13 2022  initial square root is modulo 1499831
Thu Feb 24 20:17:05 2022  GCD is 1, no factor found
Thu Feb 24 20:17:05 2022  reading relations for dependency 4
Thu Feb 24 20:17:05 2022  read 732618 cycles
Thu Feb 24 20:17:06 2022  cycles contain 2490632 unique relations
Thu Feb 24 20:17:26 2022  read 2490632 relations
Thu Feb 24 20:17:34 2022  multiplying 2490632 relations
Thu Feb 24 20:18:30 2022  multiply complete, coefficients have about 85.94 million bits
Thu Feb 24 20:18:30 2022  initial square root is modulo 1475911
Thu Feb 24 20:19:35 2022  sqrtTime: 582
Thu Feb 24 20:19:35 2022  p59 factor: 23893512141658584857825801790526736140260628851356409658247
Thu Feb 24 20:19:35 2022  p87 factor: 716261090995661766163078549098141097441232602557947230205558021581248990075917236706089
Thu Feb 24 20:19:35 2022  elapsed time 00:09:43

54880896881364577305279228898138726435660541419207971866906693915304584193883423913918049793898911117641772349926668768993277034053<131>

657062232616438070620132342233428328359261<42>
83524655895724652723165896753586712419935952419469610228630474353053822945239225397528073<89>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1680310598
Step 1 took 4797ms
Step 2 took 2968ms
********** Factor found in step 2: 657062232616438070620132342233428328359261
Found prime factor of 42 digits: 657062232616438070620132342233428328359261
Prime cofactor 83524655895724652723165896753586712419935952419469610228630474353053822945239225397528073 has 89 digits

GMP-ECM

261490041359393414941895959656437331676502394515399082367807581113982438515915365940096269245215015217373362325438248114528640526212570580654687082572107<153>

1085112925134852338347408157634826087710739664286336363890145565197287<70>
240979565630827553752192337248850910766997922078281694727458828292986172083258884861<84>

Number: n
N=261490041359393414941895959656437331676502394515399082367807581113982438515915365940096269245215015217373362325438248114528640526212570580654687082572107  ( 153 digits)
SNFS difficulty: 182 digits.
Divisors found:

Thu Mar 10 09:55:22 2022  p70 factor: 1085112925134852338347408157634826087710739664286336363890145565197287
Thu Mar 10 09:55:22 2022  p84 factor: 240979565630827553752192337248850910766997922078281694727458828292986172083258884861
Thu Mar 10 09:55:22 2022  elapsed time 00:25:26 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 263x10^180-2 = 292(180)
#
n: 261490041359393414941895959656437331676502394515399082367807581113982438515915365940096269245215015217373362325438248114528640526212570580654687082572107
m: 1000000000000000000000000000000000000
deg: 5
c5: 263
c0: -2
skew: 0.38
# Murphy_E = 7.898e-11
type: snfs
lss: 1
rlim: 7700000
alim: 7700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7700000/7700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4083083 hash collisions in 37974294 relations (35404536 unique)
Msieve: matrix is 1180595 x 1180837 (198.2 MB)

Sieving start time : 2022/03/10 03:36:29
Sieving end time  : 2022/03/10 09:28:26

Total sieving time: 5hrs 51min 57secs.

Total relation processing time: 0hrs 13min 27sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 54sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7700000,7700000,28,28,53,53,2.5,2.5,100000
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)

2113317849006163799351292754320716513642195589783125717137667515571379894945801210573491821744475887103977466023181500667260285303<130>

2724800822797168388757183564908459933583961016201<49>
775586175446291397782184886229560978963467297016302664339921475472134557390696703<81>

2113317849006163799351292754320716513642195589783125717137667515571379894945801210573491821744475887103977466023181500667260285303=2724800822797168388757183564908459933583961016201*775586175446291397782184886229560978963467297016302664339921475472134557390696703

cado polynomial
n: 2113317849006163799351292754320716513642195589783125717137667515571379894945801210573491821744475887103977466023181500667260285303
skew: 91880.909
c0: 1241719795820633979209595853926
c1: 1302261851533577850248871
c2: -373198269024735886464
c3: -11884424206704019
c4: 17228293150
c5: 288000
Y0: -9392877774381776168070448
Y1: 598250856422744201
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.688e-07
# f(x) = 288000*x^5+17228293150*x^4-11884424206704019*x^3-373198269024735886464*x^2+1302261851533577850248871*x+1241719795820633979209595853926
# g(x) = 598250856422744201*x-9392877774381776168070448

cado parameters (extracts)
tasks.lim0 = 13124945
tasks.lim1 = 44217255
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.I = 14
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2724800822797168388757183564908459933583961016201 775586175446291397782184886229560978963467297016302664339921475472134557390696703
Info:Square Root: Total cpu/real time for sqrt: 647.81/193.341
Info:Filtering - Singleton removal: Total cpu/real time for purge: 222.6/244.435
Info:Linear Algebra: Total cpu/real time for bwc: 40608.7/10405.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 25925.48, WCT time 6614.14, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (49920 iterations)
Info:Linear Algebra: Lingen CPU time 322.89, WCT time 82.0
Info:Linear Algebra: Mksol: CPU time 14072.97,  WCT time 3604.09, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (25088 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24200116
Info:Lattice Sieving: Average J: 7771.85 for 61675 special-q, max bucket fill -bkmult 1.0,1s:1.078380
Info:Lattice Sieving: Total time: 86982.7s
Info:Generate Factor Base: Total cpu/real time for makefb: 40.53/10.7214
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5230.9
Info:Polynomial Selection (root optimized): Rootsieve time: 5228.4
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 103.64/121.942
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 121.7s
Info:Filtering - Merging: Merged matrix has 1596382 rows and total weight 271905878 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 389.94/111.351
Info:Filtering - Merging: Total cpu/real time for replay: 62.35/52.0284
Info:Generate Free Relations: Total cpu/real time for freerel: 256.31/65.4835
Info:Quadratic Characters: Total cpu/real time for characters: 60.67/24.8832
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38567/38.270/46.158/49.200/0.854
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30589/37.290/41.424/46.970/0.962
Info:Polynomial Selection (size optimized): Total time: 4829.51
Info:Square Root: Total cpu/real time for sqrt: 647.81/193.341
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 347.92/323.819
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 281.0s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 217320/50555.9
Info:root: Cleaning up computation data in /tmp/cado.5raqi156
2724800822797168388757183564908459933583961016201 775586175446291397782184886229560978963467297016302664339921475472134557390696703

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)

17573624873081106927922194161153689189377807227386258050834576269277438602090365147213602631123484419574409107571916903642032230254623394606910259054296115901367<161>

10289495140558890430092162074967644539326325404094330107089531<62>
1707919060460974891879734979992706153662624656205120102126616311724989408438961818743633694435495157<100>

Number: n
N=17573624873081106927922194161153689189377807227386258050834576269277438602090365147213602631123484419574409107571916903642032230254623394606910259054296115901367  ( 161 digits)
SNFS difficulty: 188 digits.
Divisors found:

Wed Mar  9 04:57:23 2022  p62 factor: 10289495140558890430092162074967644539326325404094330107089531
Wed Mar  9 04:57:23 2022  p100 factor: 1707919060460974891879734979992706153662624656205120102126616311724989408438961818743633694435495157
Wed Mar  9 04:57:23 2022  elapsed time 00:31:34 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 263x10^186-2 = 292(186)
#
n: 17573624873081106927922194161153689189377807227386258050834576269277438602090365147213602631123484419574409107571916903642032230254623394606910259054296115901367
m: 10000000000000000000000000000000000000
deg: 5
c5: 1315
c0: -1
skew: 0.24
# Murphy_E = 4.798e-11
type: snfs
lss: 1
rlim: 9600000
alim: 9600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9600000/9600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 24800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4473510 hash collisions in 35685071 relations (33372810 unique)
Msieve: matrix is 1131581 x 1131806 (386.0 MB)

Sieving start time : 2022/03/08 21:25:04
Sieving end time  : 2022/03/09 04:24:34

Total sieving time: 6hrs 59min 30secs.

Total relation processing time: 0hrs 21min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 11sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9600000,9600000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116350] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798496)
[    0.152039] smpboot: Total of 16 processors activated (102387.96 BogoMIPS)

123987702767040594426835878444593550265981578426781591857972249700258008413194692295920934748223038608224502377565233368920313704639290106453554535642979227583539<162>

1173301302358417190639682933067903234381112933<46>
105674222399495075742595399799459537718315240198970731044140747748864249320870242465645871457438563225297154336729783<117>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:150774553
Step 1 took 7125ms
Step 2 took 3734ms
********** Factor found in step 2: 1173301302358417190639682933067903234381112933
Found prime factor of 46 digits: 1173301302358417190639682933067903234381112933
Prime cofactor 105674222399495075742595399799459537718315240198970731044140747748864249320870242465645871457438563225297154336729783 has 117 digits
 

GMP-ECM

18339700699786186578053335845929677378396423651514074504785417697126237540613271191873715738921095476261754126603480606678123501040331820952072655274017571932007894602081723941031<179>

637105367365709060185956230977696263368539<42>
3108421808457546891296647856654891953889340793312417<52>
9260640660570617342935879532903234018867826556638342355296091493935761503762315733637<85>

Number: n
N=18339700699786186578053335845929677378396423651514074504785417697126237540613271191873715738921095476261754126603480606678123501040331820952072655274017571932007894602081723941031  ( 179 digits)
SNFS difficulty: 190 digits.
Divisors found:

Tue Feb 22 11:19:21 2022  found factor: 9260640660570617342935879532903234018867826556638342355296091493935761503762315733637
Tue Feb 22 11:21:14 2022  p42 factor: 637105367365709060185956230977696263368539
Tue Feb 22 11:21:14 2022  p52 factor: 3108421808457546891296647856654891953889340793312417
Tue Feb 22 11:21:14 2022  p85 factor: 9260640660570617342935879532903234018867826556638342355296091493935761503762315733637
Tue Feb 22 11:21:14 2022  elapsed time 00:45:59 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.311).
Factorization parameters were as follows:
#
# N = 63x10^188-2 = 292(188)
#
n: 18339700699786186578053335845929677378396423651514074504785417697126237540613271191873715738921095476261754126603480606678123501040331820952072655274017571932007894602081723941031
m: 10000000000000000000000000000000000000
deg: 5
c5: 131500
c0: -1
skew: 0.09
# Murphy_E = 2.646e-11
type: snfs
lss: 1
rlim: 10300000
alim: 10300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10300000/10300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 25150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5264855 hash collisions in 35853312 relations (32492773 unique)
Msieve: matrix is 1331402 x 1331639 (452.6 MB)

Sieving start time : 2022/02/22 03:46:51
Sieving end time  : 2022/02/22 10:34:33

Total sieving time: 6hrs 47min 42secs.

Total relation processing time: 0hrs 32min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 46sec.

Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,10300000,10300000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118211] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197528K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529708K reserved, 0K cma-reserved)
[    0.153519] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.18 BogoMIPS (lpj=12798376)
[    0.152049] smpboot: Total of 16 processors activated (102387.00 BogoMIPS)

29356388852888919405251088452772590780443290466785007709533605692521659785674730587017845528294121153937314938040800587122238754309497<134>

114528129647781365964918902781943957271<39>
256324703312376236959283922342246660739478368280807298301123651460125463054996141015292699226607<96>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2831679773
Step 1 took 4813ms
Step 2 took 3234ms
********** Factor found in step 2: 114528129647781365964918902781943957271
Found prime factor of 39 digits: 114528129647781365964918902781943957271
Prime cofactor 256324703312376236959283922342246660739478368280807298301123651460125463054996141015292699226607 has 96 digits
 

GMP-ECM

3369110731011830070110753642092934042145698421523900796141936862359609472352859189642314207550302804866233690561<112>

367889597008783085754448511015128116559725756204743<51>
9157939660173090191352674578742276750441795204854755048137527<61>

Info:Polynomial Selection (root optimized): Best polynomial is:
n: 3369110731011830070110753642092934042145698421523900796141936862359609472352859189642314207550302804866233690561
skew: 18312.48
c0: -34810238261135360125517514
c1: 8162283689907501708641
c2: -68983959546333586
c3: -19917313710033
c4: -1217981004
c5: -22680
Y0: -3888166150140602066516
Y1: 216752088917401
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.364e-06
# f(x) = -22680*x^5-1217981004*x^4-19917313710033*x^3-68983959546333586*x^2+8162283689907501708641*x-34810238261135360125517514
# g(x) = 216752088917401*x-3888166150140602066516

367889597008783085754448511015128116559725756204743 9157939660173090191352674578742276750441795204854755048137527

cado-nfs 3.0.0

19290923137742888640773858068233824280553515486863363575839046845492292945870772830379482335655701632628844399333605588342733469599258029771606781455261540293802455485642626469<176>

10998574556684338295002629885863337072960733769663832840207189974088489703951<77>
1753947571871384889479799230426215614988756524297294274458632995574094421345659174625160765308721419<100>

Number: n
N=19290923137742888640773858068233824280553515486863363575839046845492292945870772830379482335655701632628844399333605588342733469599258029771606781455261540293802455485642626469  ( 176 digits)
SNFS difficulty: 193 digits.
Divisors found:

Tue Feb 22 20:16:38 2022  p77 factor: 10998574556684338295002629885863337072960733769663832840207189974088489703951
Tue Feb 22 20:16:38 2022  p100 factor: 1753947571871384889479799230426215614988756524297294274458632995574094421345659174625160765308721419
Tue Feb 22 20:16:38 2022  elapsed time 00:46:55 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.299).
Factorization parameters were as follows:
#
# N = 263x10^191-2 = 292(191)
#
n: 19290923137742888640773858068233824280553515486863363575839046845492292945870772830379482335655701632628844399333605588342733469599258029771606781455261540293802455485642626469
m: 100000000000000000000000000000000000000
deg: 5
c5: 1315
c0: -1
skew: 0.24
# Murphy_E = 2.987e-11
type: snfs
lss: 1
rlim: 11600000
alim: 11600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11600000/11600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 25800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4521000 hash collisions in 38920718 relations (35868465 unique)
Msieve: matrix is 1355007 x 1355234 (461.7 MB)

Sieving start time : 2022/02/22 11:23:24
Sieving end time  : 2022/02/22 19:28:33

Total sieving time: 8hrs 5min 9secs.

Total relation processing time: 0hrs 33min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 11sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11600000,11600000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118211] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197528K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529708K reserved, 0K cma-reserved)
[    0.153519] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.18 BogoMIPS (lpj=12798376)
[    0.152049] smpboot: Total of 16 processors activated (102387.00 BogoMIPS)

14526675034435249816241619289478020993132691702836016161041847401648117696158854954798294083628387329649628847392960244324850253511907616323030731731<149>

38498342154329102122611849939737020752031641401852189<53>
377332482946976431383434622779985834581805394790233952456507572074404643932744199496737327439279<96>

Number: n
N=14526675034435249816241619289478020993132691702836016161041847401648117696158854954798294083628387329649628847392960244324850253511907616323030731731  ( 149 digits)
SNFS difficulty: 194 digits.
Divisors found:

Sat Apr 23 16:34:07 2022  p53 factor: 38498342154329102122611849939737020752031641401852189
Sat Apr 23 16:34:07 2022  p96 factor: 377332482946976431383434622779985834581805394790233952456507572074404643932744199496737327439279
Sat Apr 23 16:34:07 2022  elapsed time 01:01:11 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.323).
Factorization parameters were as follows:
#
# N = 263x10^192-2 = 292(192)
#
n: 14526675034435249816241619289478020993132691702836016161041847401648117696158854954798294083628387329649628847392960244324850253511907616323030731731
m: 100000000000000000000000000000000000000
deg: 5
c5: 13150
c0: -1
skew: 0.15
# Murphy_E = 2.084e-11
type: snfs
lss: 1
rlim: 12000000
alim: 12000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3863685 hash collisions in 29673888 relations (27417887 unique)
Msieve: matrix is 1601862 x 1602087 (559.7 MB)

Sieving start time : 2022/04/23 08:39:18
Sieving end time  : 2022/04/23 15:32:09

Total sieving time: 6hrs 52min 51secs.

Total relation processing time: 0hrs 50min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 19sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12000000,12000000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

8654245875629333132436015685383641338213172500921970193019938376981344753899547834993049233977869092992795054887939109732783265298006649436027524063423010997496922521453<169>

46180815015304921667697574228551370057<38>
187399158563165325038857224382624296739912251478424959720913173013496274957764699616858300899259294996359065265337803536702209031429<132>

Number: n
N=8654245875629333132436015685383641338213172500921970193019938376981344753899547834993049233977869092992795054887939109732783265298006649436027524063423010997496922521453  ( 169 digits)
SNFS difficulty: 195 digits.
Divisors found:

Thu Feb 24 11:19:43 2022  p38 factor: 46180815015304921667697574228551370057
Thu Feb 24 11:19:43 2022  p132 factor: 187399158563165325038857224382624296739912251478424959720913173013496274957764699616858300899259294996359065265337803536702209031429
Thu Feb 24 11:19:43 2022  elapsed time 01:09:36 (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 = 263x10^193-2 = 292(193)
#
n: 8654245875629333132436015685383641338213172500921970193019938376981344753899547834993049233977869092992795054887939109732783265298006649436027524063423010997496922521453
m: 100000000000000000000000000000000000000
deg: 5
c5: 131500
c0: -1
skew: 0.09
# Murphy_E = 1.645e-11
type: snfs
lss: 1
rlim: 12500000
alim: 12500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12500000/12500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4561638 hash collisions in 32287877 relations (29409326 unique)
Msieve: matrix is 1643485 x 1643712 (569.6 MB)

Sieving start time : 2022/02/24 02:15:22
Sieving end time  : 2022/02/24 10:09:34

Total sieving time: 7hrs 54min 12secs.

Total relation processing time: 0hrs 58min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 33sec.

Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12500000,12500000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117462] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154119] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798724)
[    0.152036] smpboot: Total of 16 processors activated (102389.79 BogoMIPS)

271101739631926681849881279875182410298027166115474829695541240641651922989910291830470521560679684813924423375797894648005330738130302413767189145988552666228947111<165>

94885372627151131622790624273523522820603861<44>
5417948274312131306302592017187572790155002870629108551<55>
527349067608510352416293571774809376289559726401425751902309804701<66>

Number: n
N=271101739631926681849881279875182410298027166115474829695541240641651922989910291830470521560679684813924423375797894648005330738130302413767189145988552666228947111  ( 165 digits)
SNFS difficulty: 196 digits.
Divisors found:

Sun Feb 27 19:44:40 2022  found factor: 527349067608510352416293571774809376289559726401425751902309804701
Sun Feb 27 19:46:59 2022  found factor: 527349067608510352416293571774809376289559726401425751902309804701
Sun Feb 27 19:49:18 2022  p44 factor: 94885372627151131622790624273523522820603861
Sun Feb 27 19:49:18 2022  p55 factor: 5417948274312131306302592017187572790155002870629108551
Sun Feb 27 19:49:18 2022  p66 factor: 527349067608510352416293571774809376289559726401425751902309804701
Sun Feb 27 19:49:18 2022  elapsed time 01:15:59 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 263x10^194-2 = 292(194)
#
n: 271101739631926681849881279875182410298027166115474829695541240641651922989910291830470521560679684813924423375797894648005330738130302413767189145988552666228947111
m: 500000000000000000000000000000000000000
deg: 5
c5: 2104
c0: -5
skew: 0.30
# Murphy_E = 1.556e-11
type: snfs
lss: 1
rlim: 13300000
alim: 13300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13300000/13300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 33850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5436320 hash collisions in 35043146 relations (31327236 unique)
Msieve: matrix is 1754871 x 1755097 (605.6 MB)

Sieving start time : 2022/02/27 08:44:49
Sieving end time  : 2022/02/27 18:32:43

Total sieving time: 9hrs 47min 54secs.

Total relation processing time: 0hrs 59min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 57sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13300000,13300000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117462] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154119] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798724)
[    0.152036] smpboot: Total of 16 processors activated (102389.79 BogoMIPS)

126464134756088670616939575129994406103956519508240323240220476010344202684094076957733677985641606725629837429482669655276396950240877558174071864122204919<156>

37016796629509867578061841947982097078385487170312956109<56>
3416398669550762755214477654879306265630364914014828400195277251337854584089319044598932166414011091<100>

Number: n
N=126464134756088670616939575129994406103956519508240323240220476010344202684094076957733677985641606725629837429482669655276396950240877558174071864122204919  ( 156 digits)
SNFS difficulty: 197 digits.
Divisors found:

Sat May  7 00:47:49 2022  p56 factor: 37016796629509867578061841947982097078385487170312956109
Sat May  7 00:47:49 2022  p100 factor: 3416398669550762755214477654879306265630364914014828400195277251337854584089319044598932166414011091
Sat May  7 00:47:49 2022  elapsed time 01:16:13 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 263x10^195-2 = 292(195)
#
n: 126464134756088670616939575129994406103956519508240323240220476010344202684094076957733677985641606725629837429482669655276396950240877558174071864122204919
m: 1000000000000000000000000000000000000000
deg: 5
c5: 263
c0: -2
skew: 0.38
# Murphy_E = 1.908e-11
type: snfs
lss: 1
rlim: 13700000
alim: 13700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13700000/13700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3571897 hash collisions in 28736701 relations (26761647 unique)
Msieve: matrix is 1707526 x 1707751 (595.9 MB)

Sieving start time : 2022/05/06 17:00:40
Sieving end time  : 2022/05/06 23:30:52

Total sieving time: 6hrs 30min 12secs.

Total relation processing time: 0hrs 57min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 41sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13700000,13700000,28,28,55,55,2.5,2.5,100000
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)

104158077807569255987297574293983606587485500239350260190015949898515960821891292995986723959657943852912066731873615213172053384418529508153978391225519665300701092667<168>

67832801444704888696989135422332015591262261249<47>
1396470238297986111092953040349091825652488138507699642393<58>
1099566547532555160829131184471352839162210032767643776440713331<64>

Number: n
N=104158077807569255987297574293983606587485500239350260190015949898515960821891292995986723959657943852912066731873615213172053384418529508153978391225519665300701092667  ( 168 digits)
SNFS difficulty: 198 digits.
Divisors found:

Fri Feb 25 03:04:03 2022  found factor: 1099566547532555160829131184471352839162210032767643776440713331
Fri Feb 25 03:07:56 2022  found factor: 1099566547532555160829131184471352839162210032767643776440713331
Fri Feb 25 03:09:52 2022  found factor: 1099566547532555160829131184471352839162210032767643776440713331
Fri Feb 25 03:13:44 2022  found factor: 1099566547532555160829131184471352839162210032767643776440713331
Fri Feb 25 03:15:40 2022  p47 factor: 67832801444704888696989135422332015591262261249
Fri Feb 25 03:15:40 2022  p58 factor: 1396470238297986111092953040349091825652488138507699642393
Fri Feb 25 03:15:40 2022  p64 factor: 1099566547532555160829131184471352839162210032767643776440713331
Fri Feb 25 03:15:40 2022  elapsed time 01:16:03 (Msieve 1.54 - dependency 8)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.325).
Factorization parameters were as follows:
#
# N = 263x10^196-2 = 292(196)
#
n: 104158077807569255987297574293983606587485500239350260190015949898515960821891292995986723959657943852912066731873615213172053384418529508153978391225519665300701092667
m: 1000000000000000000000000000000000000000
deg: 5
c5: 1315
c0: -1
skew: 0.24
# Murphy_E = 1.851e-11
type: snfs
lss: 1
rlim: 14000000
alim: 14000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14000000/14000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4923923 hash collisions in 38614149 relations (35041596 unique)
Msieve: matrix is 1597059 x 1597284 (550.2 MB)

Sieving start time : 2022/02/24 16:40:26
Sieving end time  : 2022/02/25 01:58:10

Total sieving time: 9hrs 17min 44secs.

Total relation processing time: 0hrs 49min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 15min 30sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14000000,14000000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117462] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154119] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798724)
[    0.152036] smpboot: Total of 16 processors activated (102389.79 BogoMIPS)

16484267928647062798040891765048914401270705149346840655294151419345610916371109383710258968475937293594088127278103890500335765107580845305738042042529912678508012043669395533803843228720283033<194>

12694432094671334699877383649150042738710905561949917747362639391109236001352443<80>
1298543157008698692358582855274719989770288183661960496250223166943219878560195350104413857422859785576047535691131<115>

Number: n
N=16484267928647062798040891765048914401270705149346840655294151419345610916371109383710258968475937293594088127278103890500335765107580845305738042042529912678508012043669395533803843228720283033  ( 194 digits)
SNFS difficulty: 200 digits.
Divisors found:

Mon Feb 21 01:58:22 2022  p80 factor: 12694432094671334699877383649150042738710905561949917747362639391109236001352443
Mon Feb 21 01:58:22 2022  p115 factor: 1298543157008698692358582855274719989770288183661960496250223166943219878560195350104413857422859785576047535691131
Mon Feb 21 01:58:22 2022  elapsed time 01:45:00 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.292).
Factorization parameters were as follows:
#
# N = 263x10^198-2 = 292(198)
#
n: 16484267928647062798040891765048914401270705149346840655294151419345610916371109383710258968475937293594088127278103890500335765107580845305738042042529912678508012043669395533803843228720283033
m: 1000000000000000000000000000000000000000
deg: 5
c5: 131500
c0: -1
skew: 0.09
# Murphy_E = 1.019e-11
type: snfs
lss: 1
rlim: 15200000
alim: 15200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15200000/15200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 34800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4926452 hash collisions in 32406254 relations (29046211 unique)
Msieve: matrix is 2087707 x 2087932 (725.5 MB)

Sieving start time : 2022/02/20 11:50:55
Sieving end time  : 2022/02/21 00:12:45

Total sieving time: 12hrs 21min 50secs.

Total relation processing time: 1hrs 29min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 52sec.

Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,15200000,15200000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118211] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197528K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529708K reserved, 0K cma-reserved)
[    0.153519] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.18 BogoMIPS (lpj=12798376)
[    0.152049] smpboot: Total of 16 processors activated (102387.00 BogoMIPS)

42093580458712068084703969831254098572969875531827086316029233320921588543813221758417688483509907799875987749418902890295180685845041868971469656983621541600079103<164>

8473201075808310466568838919372258750638636564471658823263<58>
4967848642102064600297836921266142480700764466487626043408559015650793744761724417425166267071071756899681<106>

Number: n
N=42093580458712068084703969831254098572969875531827086316029233320921588543813221758417688483509907799875987749418902890295180685845041868971469656983621541600079103  ( 164 digits)
SNFS difficulty: 202 digits.
Divisors found:

Fri Mar 11 23:09:27 2022  p58 factor: 8473201075808310466568838919372258750638636564471658823263
Fri Mar 11 23:09:27 2022  p106 factor: 4967848642102064600297836921266142480700764466487626043408559015650793744761724417425166267071071756899681
Fri Mar 11 23:09:27 2022  elapsed time 01:28:07 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 263x10^200-2 = 292(200)
#
n: 42093580458712068084703969831254098572969875531827086316029233320921588543813221758417688483509907799875987749418902890295180685845041868971469656983621541600079103
m: 10000000000000000000000000000000000000000
deg: 5
c5: 263
c0: -2
skew: 0.38
# Murphy_E = 1.178e-11
type: snfs
lss: 1
rlim: 16500000
alim: 16500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16500000/16500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5407667 hash collisions in 38581328 relations (34394321 unique)
Msieve: matrix is 1931862 x 1932088 (667.5 MB)

Sieving start time : 2022/03/11 07:53:58
Sieving end time  : 2022/03/11 21:40:17

Total sieving time: 13hrs 46min 19secs.

Total relation processing time: 1hrs 12min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 29sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16500000,16500000,28,28,56,56,2.6,2.6,100000
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)

3661208108425842822731837164710681523679330906421150321457239305679064972583058100430799234864695729438466231360860450053898013864461158919258544752784330324264220675672937342646623898983269<190>

11509844503093991865598041149830685428312483027847<50>
142201065284803826340276508872549850371071455456515131319612203<63>
2236928533410853608266161650573099538529452651646188699605113931827387874758809<79>

Number: n
N=3661208108425842822731837164710681523679330906421150321457239305679064972583058100430799234864695729438466231360860450053898013864461158919258544752784330324264220675672937342646623898983269  ( 190 digits)
SNFS difficulty: 204 digits.
Divisors found:

Sun Feb 27 08:27:58 2022  found factor: 2236928533410853608266161650573099538529452651646188699605113931827387874758809
Sun Feb 27 08:41:39 2022  p50 factor: 11509844503093991865598041149830685428312483027847
Sun Feb 27 08:41:39 2022  p63 factor: 142201065284803826340276508872549850371071455456515131319612203
Sun Feb 27 08:41:39 2022  p79 factor: 2236928533410853608266161650573099538529452651646188699605113931827387874758809
Sun Feb 27 08:41:39 2022  elapsed time 02:29:12 (Msieve 1.54 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 263x10^202-2 = 292(202)
#
n: 3661208108425842822731837164710681523679330906421150321457239305679064972583058100430799234864695729438466231360860450053898013864461158919258544752784330324264220675672937342646623898983269
m: 10000000000000000000000000000000000000000
deg: 5
c5: 13150
c0: -1
skew: 0.15
# Murphy_E = 7.967e-12
type: snfs
lss: 1
rlim: 17700000
alim: 17700000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17700000/17700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 43250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4946417 hash collisions in 31707207 relations (28234518 unique)
Msieve: matrix is 2412047 x 2412272 (840.9 MB)

Sieving start time : 2022/02/26 15:59:16
Sieving end time  : 2022/02/27 06:11:52

Total sieving time: 14hrs 12min 36secs.

Total relation processing time: 1hrs 55min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 23min 58sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,17700000,17700000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117462] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154119] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798724)
[    0.152036] smpboot: Total of 16 processors activated (102389.79 BogoMIPS)

635249405277438009314101398270681635639117068946751574278026622809616980410089352583011863099125489878146260058598941791381248616923<132>

96131376929349909905566228814923223<35>
6608138004143054714209076386652948132357682053408198300718995573116047800382154936779031486591901<97>

Run 71 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3454598076
Step 1 took 9297ms
Step 2 took 4814ms
********** Factor found in step 2: 96131376929349909905566228814923223
Found prime factor of 35 digits: 96131376929349909905566228814923223
Prime cofactor 6608138004143054714209076386652948132357682053408198300718995573116047800382154936779031486591901 has 97 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

276661202873809828173447107314129956699598688898248420159358731041692108798959009213865237821672503361448765258675890987465847242158411399664174079704146050422720533868940202012335580714907<189>

32320157149572595771879079627589449800669<41>

8560020348708868114624448623258708344056037762275627975143387712399092940273834560014974161715298857239409319520788572626022335249736093347726534103<148>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1269594049
Step 1 took 27293ms
Step 2 took 12328ms
********** Factor found in step 2: 32320157149572595771879079627589449800669
Found prime factor of 41 digits: 32320157149572595771879079627589449800669
Composite cofactor 8560020348708868114624448623258708344056037762275627975143387712399092940273834560014974161715298857239409319520788572626022335249736093347726534103 has 148 digits

8560020348708868114624448623258708344056037762275627975143387712399092940273834560014974161715298857239409319520788572626022335249736093347726534103<148>

129213695595194361970595845499491154482010859915786642649511<60>
66247005081613246897790759546001749421556165194321601181494772241512094044163488004001873<89>

CADO-NFS

STA:Wed Dec 18 06:13:45 AEDT 2024 (8560020348708868114624448623258708344056037762275627975143387712399092940273834560014974161715298857239409319520788572626022335249736093347726534103 - C148)

./cado-nfs.py -t 16 --no-colors 8560020348708868114624448623258708344056037762275627975143387712399092940273834560014974161715298857239409319520788572626022335249736093347726534103 2>&1 | tee -a log-31

Info:root: Using default parameter file ./parameters/factor/params.c148
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.emkc_w8k
Info:Database: Opened connection to database /tmp/cado.emkc_w8k/c148.db
Info:root: Set tasks.threads=16 based on --server-threads 16
Info:root: tasks.threads = 16 [via tasks.threads]
Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]
Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]
Info:root: tasks.linalg.bwc.threads = 16 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/bob/Math/cado-nfs/build/TrigKey-2
Info:root: Command line parameters: ./cado-nfs.py -t 16 --no-colors 8560020348708868114624448623258708344056037762275627975143387712399092940273834560014974161715298857239409319520788572626022335249736093347726534103
Info:root: If this computation gets interrupted, it can be resumed with ./cado-nfs.py /tmp/cado.emkc_w8k/c148.parameters_snapshot.0
Info:Server Launcher: Adding TrigKey-2 to whitelist to allow clients on localhost to connect
Info:HTTP server: Using non-threaded HTTPS server
Info:HTTP server: Using whitelist: localhost,TrigKey-2
Info:Lattice Sieving: param rels_wanted is 119000000
Info:Complete Factorization / Discrete logarithm: Factoring 8560020348708868114624448623258708344056037762275627975143387712399092940273834560014974161715298857239409319520788572626022335249736093347726534103
===
Info:Polynomial Selection (root optimized): Finished, best polynomial has Murphy_E = 6.322e-07
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 8560020348708868114624448623258708344056037762275627975143387712399092940273834560014974161715298857239409319520788572626022335249736093347726534103
skew: 468279.658
c0: 1792925612721239919745151547745407
c1: 24658355453734675487049234542
c2: -13694565385729672008693
c3: -351677915296459238
c4: 62693285430
c5: 158760
Y0: -43929866922300880933324603748
Y1: 8895797994437134661203
# MurphyE (Bf=2.147e+09,Bg=1.074e+09,area=3.087e+14) = 6.322e-07
# f(x) = 158760*x^5+62693285430*x^4-351677915296459238*x^3-13694565385729672008693*x^2+24658355453734675487049234542*x+1792925612721239919745151547745407
# g(x) = 8895797994437134661203*x-43929866922300880933324603748
===
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 70862.93, WCT time 4947.17, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (84000 iterations)
Info:Linear Algebra: Lingen CPU time 147.28, WCT time 66.95
Info:Linear Algebra: Mksol: CPU time 35177.75,  WCT time 2499.52, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (44000 iterations)
Info:Quadratic Characters: Starting
Info:Complete Factorization / Discrete logarithm: Quadratic Characters
Info:Quadratic Characters: Total cpu/real time for characters: 59.95/12.8837
Info:Square Root: Starting
Info:Square Root: Creating file of (a,b) values
Info:Square Root: finished
Info:Square Root: Factors: 66247005081613246897790759546001749421556165194321601181494772241512094044163488004001873 129213695595194361970595845499491154482010859915786642649511
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 3192.36/254.534
Info:HTTP server: Got notification to stop serving Workunits
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 3282.28
Info:Polynomial Selection (root optimized): Rootsieve time: 3329
Info:Generate Free Relations: Total cpu/real time for freerel: 716.26/53.7412
Info:Generate Factor Base: Total cpu/real time for makefb: 2.19/0.882039
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 117089
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 111211/45.380/55.501/68.690/2.559
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 94357/42.290/48.236/60.890/1.460
Info:Polynomial Selection (size optimized): Total time: 46000.7                                                                                                                                                                              Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 119082367
Info:Lattice Sieving: Average J: 7712.67 for 683861 special-q, max bucket fill -bkmult 1.0,1s:1.079390
Info:Lattice Sieving: Total time: 582545s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 486.3/140.731
Info:Linear Algebra: Total cpu/real time for bwc: 112250/7961.15
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 70862.93, WCT time 4947.17, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (84000 iterations)
Info:Linear Algebra: Lingen CPU time 147.28, WCT time 66.95
Info:Linear Algebra: Mksol: CPU time 35177.75,  WCT time 2499.52, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (44000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 59.95/12.8837
Info:Filtering - Merging: Total cpu/real time for merge: 313.99/30.5762
Info:Filtering - Merging: Total cpu/real time for replay: 55.13/48.4225
Info:Square Root: Total cpu/real time for sqrt: 3192.36/254.534
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 479.69/315.685
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 315.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 2007.13/1002.51
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 932.5s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.25212e+06/87077 [1d 00:11:17]
Info:root: Cleaning up computation data in /tmp/cado.emkc_w8k
66247005081613246897790759546001749421556165194321601181494772241512094044163488004001873 129213695595194361970595845499491154482010859915786642649511

END:Thu Dec 19 06:25:03 AEDT 2024 (8560020348708868114624448623258708344056037762275627975143387712399092940273834560014974161715298857239409319520788572626022335249736093347726534103 - C148)

CADO-NFS

1752773881183945821941708727104996502330864258051930417640381220297326569704108410251129243738029661698164887329651517692389331735322745035687655610179136077603749635816031513149590141503384993421<196>

487037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037<213>

37224995763448370703160667017957941265756223117305597365581498290425237645831085146241841088980188141123174221156943765305342598325254944022757659<146>

142533745094569398076960998343616366457220407297638517721<57>
261166194284378347819573216256246248270787741187216343585567625743339117334662625461493779<90>

37224995763448370703160667017957941265756223117305597365581498290425237645831085146241841088980188141123174221156943765305342598325254944022757659=142533745094569398076960998343616366457220407297638517721*261166194284378347819573216256246248270787741187216343585567625743339117334662625461493779

cado polynomial
n: 37224995763448370703160667017957941265756223117305597365581498290425237645831085146241841088980188141123174221156943765305342598325254944022757659
skew: 643160.366
c0: -7917026668492301443622623274767200
c1: 41624648712303336434726386735
c2: -41905372715733483508076
c3: -298898856446119937
c4: 25724191834
c5: 142560
Y0: -13917866924501458138266689618
Y1: 633942089577051983
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.645e-07
# f(x) = 142560*x^5+25724191834*x^4-298898856446119937*x^3-41905372715733483508076*x^2+41624648712303336434726386735*x-7917026668492301443622623274767200
# g(x) = 633942089577051983*x-13917866924501458138266689618

cado parameters (extracts)
tasks.lim0 = 10000000
tasks.lim1 = 20000000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 87
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 142533745094569398076960998343616366457220407297638517721 261166194284378347819573216256246248270787741187216343585567625743339117334662625461493779
Info:Square Root: Total cpu/real time for sqrt: 1722.45/513.869
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1052.17/1022.84
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 852.9000000000001s
Info:Square Root: Total cpu/real time for sqrt: 1722.45/513.869
Info:Filtering - Singleton removal: Total cpu/real time for purge: 839.9/899.697
Info:Generate Factor Base: Total cpu/real time for makefb: 18.51/4.91413
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 50090014
Info:Lattice Sieving: Average J: 3827.97 for 1332677 special-q, max bucket fill -bkmult 1.0,1s:1.083520
Info:Lattice Sieving: Total time: 1.49043e+06s
Info:Linear Algebra: Total cpu/real time for bwc: 249977/63952.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 161383.76, WCT time 41161.14, iteration CPU time 0.34, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (115200 iterations)
Info:Linear Algebra: Lingen CPU time 825.12, WCT time 209.48
Info:Linear Algebra: Mksol: CPU time 86297.74,  WCT time 22034.57, iteration CPU time 0.36, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (57856 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 498.3/126.11
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 226.18/286.246
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 285.2s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 7597.76
Info:Polynomial Selection (root optimized): Rootsieve time: 7594.55
Info:Filtering - Merging: Merged matrix has 3685147 rows and total weight 627118822 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 974.09/274.329
Info:Filtering - Merging: Total cpu/real time for replay: 158.96/138.263
Info:Quadratic Characters: Total cpu/real time for characters: 144.86/61.6172
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 77228.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78432/44.320/52.472/57.540/0.898
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 63962/42.650/47.069/53.220/1.239
Info:Polynomial Selection (size optimized): Total time: 54324.2
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.21565e+06/295982
Info:root: Cleaning up computation data in /tmp/cado.lndl6udq
142533745094569398076960998343616366457220407297638517721 261166194284378347819573216256246248270787741187216343585567625743339117334662625461493779

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)

446328954581885648822731370602536210894643842210376190165049979867119099772161694873864065360509860103592651674440425586530883433497985170802282707384857363888065921088165821523444587606747668746568759186903<207>

191990312728730742284969499316722489819366067112223087821827912600822817400889649468707439719925112264031595850878559443563530620774307934744192796926093878724468237<165>

16702137761345947429671932869055657427820945282904258170480088607048825025369018541361621348836854752749860752295622073269440593611493981683640185321365447<155>

996416060696247963973678062510821681434513200378489109<54>
16762212513591251324662426372383250800578286935621312975883352731546406484443959662960211639304856683<101>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:2411026915
Step 1 took 95208ms
Step 2 took 32561ms
********** Factor found in step 2: 996416060696247963973678062510821681434513200378489109
Found prime factor of 54 digits: 996416060696247963973678062510821681434513200378489109
Prime cofactor 16762212513591251324662426372383250800578286935621312975883352731546406484443959662960211639304856683 has 101 digits

115767225667795257691574610540557578372294246194482468090747670664178910993383545957234916889566643193835327884863450794538975823829<132>

44002052670001639714600768607721176068518911578289<50>
2630950572601797298914664810899972341954306309118010800148365757060640901478453861<82>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3631222979
Step 1 took 17563ms
Step 2 took 9469ms
********** Factor found in step 2: 44002052670001639714600768607721176068518911578289
Found prime factor of 50 digits: 44002052670001639714600768607721176068518911578289
Prime cofactor 2630950572601797298914664810899972341954306309118010800148365757060640901478453861 has 82 digits

GMP-ECM

13033997422935870750322133016156209733372980473783328377440777083952819902864505897512141936762810982257904648627217761918921597779760134800277529983149965308752106254336405986718207949251660224006343542471999207057191<218>

12979722974872264439751352361543760406658058100832029945939499097182056157384931004589947<89>
1004181479694803766350973662274850344252670738791207997812995743313624665913753045918789385582201192596433622235452000323402570053<130>

Number: 29222_219
N = 13033997422935870750322133016156209733372980473783328377440777083952819902864505897512141936762810982257904648627217761918921597779760134800277529983149965308752106254336405986718207949251660224006343542471999207057191 (218 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=12979722974872264439751352361543760406658058100832029945939499097182056157384931004589947 (pp89)
r2=1004181479694803766350973662274850344252670738791207997812995743313624665913753045918789385582201192596433622235452000323402570053 (pp130)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 40.62 hours.
Factorization parameters were as follows:
n: 13033997422935870750322133016156209733372980473783328377440777083952819902864505897512141936762810982257904648627217761918921597779760134800277529983149965308752106254336405986718207949251660224006343542471999207057191
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 263
c0: -20
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: 30927557
Relations: 9919424 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 11.89 hours.
Total relation processing time: 0.30 hours.
Pruned matrix : 8366501 x 8366726
Matrix solve time: 28.25 hours.
time per square root: 0.18 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: 40.62 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

304820843615669059455860071736793995658687347817998130265082836792066853440998479542846801054372902688897967219159580083293924400087426633013838646521485588220296915829817836682323725300205363124715713<201>

92038338554670983140121171944737097150822387667269710835891<59>
34545294756963723596223291066258608251296710524453605463150879752043271<71>
95870940471491726809775501599009068633654427163847301681842431321903533<71>

Number: 29222_220
N = 304820843615669059455860071736793995658687347817998130265082836792066853440998479542846801054372902688897967219159580083293924400087426633013838646521485588220296915829817836682323725300205363124715713 (201 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=92038338554670983140121171944737097150822387667269710835891 (pp59)
r2=34545294756963723596223291066258608251296710524453605463150879752043271 (pp71)
r3=95870940471491726809775501599009068633654427163847301681842431321903533 (pp71)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 33.78 hours.
Factorization parameters were as follows:
n: 304820843615669059455860071736793995658687347817998130265082836792066853440998479542846801054372902688897967219159580083293924400087426633013838646521485588220296915829817836682323725300205363124715713
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 263
c0: -2
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: 30672158
Relations: 7608728 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 12.61 hours.
Total relation processing time: 0.34 hours.
Pruned matrix : 6527846 x 6528071
Matrix solve time: 20.32 hours.
time per square root: 0.52 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: 33.78 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

13334284002060981204480774483484640169645792904548521970592013587990800045409288771570688073780943768137968526289351919593986568774761219994265372089217939712260204379608617785821692228730042791<194>

20888669670794386258659233895035848850807<41>
638350082231631396703587898612020641378621221070393214857666594514438996613021366198118375321542583145811164879791268536724699197482008374417246800408913<153>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1888382823
Step 1 took 9932ms
Step 2 took 4715ms
********** Factor found in step 2: 20888669670794386258659233895035848850807
Found prime factor of 41 digits: 20888669670794386258659233895035848850807
Prime cofactor 638350082231631396703587898612020641378621221070393214857666594514438996613021366198118375321542583145811164879791268536724699197482008374417246800408913 has 153 digits

19998426048240574088099324613740439765692956963850382745662422875276092454331358349905623073676425763589693108687637081719742243129061092921471224230708383665291<161>

10173954506253345703005169529416306690493062330132676877293830227724049240082966858207801047894103601494789890818381295211719219590378796828913775232664413232454125716499778996950212070859310766032237432090787882642235559<221>

2452366327828180774594115836853450297597311408223708370353304618840752891821374224584478154047141109976908485112610446109636426488880079391517437834664591321696704105852374204539687968437016007<193>

80480214567700873822714871490151264893804554149067787550259768375310056161832858733939673319707289115497562154748524697496643776427529631949187383331013124737267480889143583807628398526807411576240761479910901<209>

361918564979629972389342604713484727924508968743572984927765138605557598608778496278515855824342267341673174937004402472774735170560706340304417867649139568434093706865998333200757586680661049963751<198>

1720945231698832827038140708075109473<37>
210302198067257314583107825052513857271781773320178230479273509927906283031442076244043419212075417188063984959007668757066178558411102211229071952270601678665287<162>

Run 590 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1548297685
Step 1 took 18961ms
Step 2 took 7483ms
********** Factor found in step 2: 1720945231698832827038140708075109473
Found prime factor of 37 digits: 1720945231698832827038140708075109473
Prime cofactor 210302198067257314583107825052513857271781773320178230479273509927906283031442076244043419212075417188063984959007668757066178558411102211229071952270601678665287 has 162 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

30357376258773975597944835915819577667350206201381402851734026824795798132079611934146820278110680442380895655732560974935923155606892387413255058247865325853768457031780987<173>

4042539082337910345269143629043407152279640510617999427090746416229925653955783273165442043240787194074821877197198766964711237636743457294212880274081321542239788422542502602649681780392252270645784305442399045709923952953711<226>

1214135579765069543697229059170168547606315466207678038397817910907583795160504341996057981977767026821778071746123915323165579356184325796282539205356341727792855471187320898028751810029059389051293948475558423541<214>

18380176613260888645748923988364629210433244452935275355175104936771737488596412532444675527572579494299145087904977460165083162246141731201531904947022592611602214544370983407173121050115158788153728382813433397827052834043129<227>

6145616540171409830926750739711165393877302139146846318923860948672203745255795768027206099658708049904810644714409634800946373946714255756184324536238864581331771149<166>

49493252734323511021490744239549833383461<41>
124170795020498464419846135368394719362633427491099670614257959859099079303668349989020347169989577001430618454376573056120009<126>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=886407595
Step 1 took 36788ms
Step 2 took 13312ms
********** Factor found in step 2: 49493252734323511021490744239549833383461
Found probable prime factor of 41 digits: 49493252734323511021490744239549833383461
Probable prime cofactor 124170795020498464419846135368394719362633427491099670614257959859099079303668349989020347169989577001430618454376573056120009 has 126 digits

3271370151141995418701353266152446084860709485496852911251396720986034258184318254789484960218680377633529730801607459734669920534711507563970510211710265891346057923374569400391362383157345462641619603<202>

18440410677132606040442045618813437325298129285283210872037020341086239881654558604294369175968050778371734114563812710949968016123996468606071197678759714119791958954576441548531910983909493980053383490661<206>

5787317067754100303057148543207240714001<40>

3186348779796304783995667799827914082971406077898176992219704979334430000991657867552529520239494832794462836370479181216503268193815129665089607482275270206567536661<166>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3489481527
Step 1 took 77756ms
Step 2 took 30832ms
********** Factor found in step 2: 5787317067754100303057148543207240714001
Found prime factor of 40 digits: 5787317067754100303057148543207240714001
Composite cofactor 3186348779796304783995667799827914082971406077898176992219704979334430000991657867552529520239494832794462836370479181216503268193815129665089607482275270206567536661 has 166 digits

61693206352028699242711208084227732953941792575752843670119296018517687504656845912318596068801660324515904138071494290263507113698164319281992946402227744837045710824244543661135062776483757400216544993661923559487091<218>

526023619885473540071237450620518453154820125819445389143874214931900925651497061257912799057791833815917714159144912719985274520722207302669875687687765757139145751799343532953386855362336018852283743763<204>

2328125568507842897237678072280943632574299331<46>
225942976186896979447622295994546485034276468234786348205979145438085390957536903282461999523045100356846953085982024766113899150287722009709595408356215874673<159>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2684473410
Step 1 took 87315ms
Step 2 took 33934ms
********** Factor found in step 2: 2328125568507842897237678072280943632574299331
Found prime factor of 46 digits: 2328125568507842897237678072280943632574299331
Prime cofactor 225942976186896979447622295994546485034276468234786348205979145438085390957536903282461999523045100356846953085982024766113899150287722009709595408356215874673 has 159 digits

29874869361452025934080907775887683092293782605756344552214208567679595836857007431741645621882661861927640476978181266069403221039330325548583396378386587000577447777201660798070353218058873810534136051841737<209>

889704349258311307434875634138376056872891116067303351218879653653745676826791312848700242819035019981494289036344003349326284821783011927395110971322554820365712076477432804017791216917716196080688650907747000146223085373212203<228>

189439402513859873298689223568762148462841024589965638720332436008408730427522588116624567559356324845552897226525538810650700950659898806827300232795659792791353801987049914065954346983877<189>

1206858575505719127270695636444405819744414248301041352271178982321747308561251997646019629431201596656911027852600964554638541488235006503610827580683061121<157>

221670458129563049832078593108464743578095581320909306500014916483508078563031849973078976920212033162660148549044682205342307056196971957542904348811174571317799337745640601385846366446732732075798228069811213<210>

3773204107637241012899269879647556908043690929879310862264323171982444968904154611651187918179667670766675928054241426451029943422967315193937586059368677139832335499751244386319251471078242285217<196>

3886925943529348119666557719681397921469670298994278365547220269180661848265027832640699631745979110837256708205183102514831442859542738746416515772853787071470835221525378472878579842437776875625987297262628669279209<217>

6519453534132691376335612961556154373247649953339979681138320178733209682729660688357418064988681747405553390975463089365542279467089692895260496012008151855691621191556823861264081673284135118683266191818553538515793946527027705980337<235>

35396814606369038118640963078688270571476653<44>
184181927290136148597393212059681209421860777997075299399477016239607054163137282445443485299565153786999681280381017515040917642473448439672174798598642700423821347265556246207063939926695829<192>

GPU: factor 35396814606369038118640963078688270571476653 found in Step 1 with curve 1480 (-sigma 3:392266626)
Computing 1792 Step 1 took 1455ms of CPU time / 981159ms of GPU time
Throughput: 1.826 curves per second (on average 547.52ms per Step 1)
********** Factor found in step 1: 35396814606369038118640963078688270571476653
Found prime factor of 44 digits: 35396814606369038118640963078688270571476653
Prime cofactor 184181927290136148597393212059681209421860777997075299399477016239607054163137282445443485299565153786999681280381017515040917642473448439672174798598642700423821347265556246207063939926695829 has 192 digits
Peak memory usage: 9430MB

769005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269<255>

382110646737648967472978340047220770463171219726691361625086656006932327748365969143451533540589741173640594792385712118579469284341881021325702715929207657977193736106024868192449120950164050599331997<201>

93474741231854514694137045940670513287241549<44>

4087849206127917205391098140261035644940907356812853143078329948310323254923122409139894608022064971281453116552319328611282585816831484446019227129904875153<157>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2435761252
Step 1 took 51672ms
Step 2 took 16340ms
********** Factor found in step 2: 93474741231854514694137045940670513287241549
Found probable prime factor of 44 digits: 93474741231854514694137045940670513287241549
Composite cofactor 4087849206127917205391098140261035644940907356812853143078329948310323254923122409139894608022064971281453116552319328611282585816831484446019227129904875153 has 157 digits

17035958308929161117025114889077774266945304987053319440282618127529240635437358392645026206226817655782179143919128038764772540159842631792570171630478534239102201110589020525673966477638782495118841679203966022914724211154160912982268223196186743640697<254>

214658836076239151458354868860097279721139257149<48>

79362949228321526958365610129603496548266899160895248083829465794557769280004213515362601573887711386982304810688068029269556153230772645310614752966304660706350021180574149512340252460237279364012632118253<206>

Resuming ECM residue saved by @4e2ae8f37ca3 with GMP-ECM 7.0.5-dev on Tue Apr 12 12:55:49 2022 
Input number is 17035958308929161117025114889077774266945304987053319440282618127529240635437358392645026206226817655782179143919128038764772540159842631792570171630478534239102201110589020525673966477638782495118841679203966022914724211154160912982268223196186743640697 (254 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2071441229
Step 1 took 0ms
Step 2 took 33629ms
********** Factor found in step 2: 214658836076239151458354868860097279721139257149
Found prime factor of 48 digits: 214658836076239151458354868860097279721139257149
Composite cofactor 79362949228321526958365610129603496548266899160895248083829465794557769280004213515362601573887711386982304810688068029269556153230772645310614752966304660706350021180574149512340252460237279364012632118253 has 206 digits

20114030687714600843905625989330625650842996352573690491721716964639521224886077457568463286297745636809208083112558425745713745507839945761221929252924164830636636164084788456617907262243725689805412015250194504602249150104148751874091077002780037<248>

2249072050283786677406634151004057981231688131015048805968646077206986803182236807384533277715277370009896111427690626831570625612322675847328265859444410090821413700068398817548265580579859143512660653280005662409<214>

167751499245516380729599563653756720414439332125206425524115186921368509439038750198262664048686276953329592290305229385642349957498998150017975600580784346661448261306271056542561231802085482590322883125668601477<213>

40348641448113381255717003474930432235720335276581075954500092112555594640708543754923279324366928928266562131002092618472628098739381622258519539957180840748637859282996694026112567340576979653594037599323847490372059259619<224>

61065666236289266910487765113928242482784881<44>
660741852745652086286415258147183158344417900686077763069058309018159678364116844842047090906483274721811852638328985092297917694569647116719715648248029465784123365964306611684499<180>

Resuming ECM residue saved by @9598ef913322 with GMP-ECM 7.0.5-dev on Wed Jun 22 08:51:08 2022 
Input number is 40348641448113381255717003474930432235720335276581075954500092112555594640708543754923279324366928928266562131002092618472628098739381622258519539957180840748637859282996694026112567340576979653594037599323847490372059259619 (224 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3438942649
Step 1 took 0ms
Step 2 took 39489ms
********** Factor found in step 2: 61065666236289266910487765113928242482784881
Found prime factor of 44 digits: 61065666236289266910487765113928242482784881
Prime cofactor 660741852745652086286415258147183158344417900686077763069058309018159678364116844842047090906483274721811852638328985092297917694569647116719715648248029465784123365964306611684499 has 180 digits

1341234721078739301411885978627915519722671809455467196368664864662639582999913473633304546264622018407663632910715892647896453111338388077367069277475090220813033920496305461713008444206855984056804271548591658037782091088685631896362410008891261195506908603<259>

35138125873551988093110719690628653741722912695532256667588213129716530840911101681533032021001641810558627240165857863650244304785305726046922497819313463329436904464643718929849373689955857682107332765382190987997132973120753158197482707949209319<248>