43041334850208570345089116420174440652256351915054986727341676147136897990140310959423587409935532802427<104>

206316409923239779810768896018148290008760769552549<51>
208618087461982014296037472126404172998031950828216223<54>

N=43041334850208570345089116420174440652256351915054986727341676147136897990140310959423587409935532802427
  ( 104 digits)
SNFS difficulty: 107 digits.
Divisors found:
p51 factor: 206316409923239779810768896018148290008760769552549
p54 factor: 208618087461982014296037472126404172998031950828216223
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.21 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 43041334850208570345089116420174440652256351915054986727341676147136897990140310959423587409935532802427
m: 100000000000000000000000000
deg: 4
c4: 1135
c0: -1
skew: 0.17
# Murphy_E = 1.72e-07
type: snfs
lss: 1
rlim: 430000
alim: 430000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 430000/430000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [215000, 375001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 35698 x 35923
Total sieving time: 0.21 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,107.000,4,0,0,0,0,0,0,0,0,430000,430000,25,25,44,44,2.2,2.2,20000
total time: 0.21 hours.
 --------- CPU info (if available) ----------

3537038620498071150468684090469810401987253268834252998121782319544784114303311526979159254564616977<100>

319621728279488009317506070407728314712787531899<48>
11066327184756242213748874874830823863370727058346723<53>

N=3537038620498071150468684090469810401987253268834252998121782319544784114303311526979159254564616977
  ( 100 digits)
SNFS difficulty: 109 digits.
Divisors found:
p48 factor: 319621728279488009317506070407728314712787531899
p53 factor: 11066327184756242213748874874830823863370727058346723
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.30 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 3537038620498071150468684090469810401987253268834252998121782319544784114303311526979159254564616977
m: 500000000000000000000000000
deg: 4
c4: 908
c0: -5
skew: 0.27
# Murphy_E = 1.165e-07
type: snfs
lss: 1
rlim: 470000
alim: 470000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 470000/470000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [235000, 435001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 46272 x 46497
Total sieving time: 0.28 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,109.000,4,0,0,0,0,0,0,0,0,470000,470000,25,25,44,44,2.2,2.2,20000
total time: 0.30 hours.
 --------- CPU info (if available) ----------

226380925590785753014233601966513458239318182617359975603835167328982459485308824341045166108141043231<102>

140411541200746705234029359667576295587419<42>
1612267222871148604985625890743169470307783538032526877086349<61>

N=226380925590785753014233601966513458239318182617359975603835167328982459485308824341045166108141043231
  ( 102 digits)
SNFS difficulty: 110 digits.
Divisors found:
p42 factor: 140411541200746705234029359667576295587419
p61 factor: 1612267222871148604985625890743169470307783538032526877086349
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.26 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 226380925590785753014233601966513458239318182617359975603835167328982459485308824341045166108141043231
m: 1000000000000000000000000000
deg: 4
c4: 227
c0: -2
skew: 0.31
# Murphy_E = 1.521e-07
type: snfs
lss: 1
rlim: 480000
alim: 480000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 480000/480000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [240000, 400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 40538 x 40763
Total sieving time: 0.25 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,110.000,4,0,0,0,0,0,0,0,0,480000,480000,25,25,44,44,2.2,2.2,20000
total time: 0.26 hours.
 --------- CPU info (if available) ----------

87033202975231960739207116018710221608772333410014569434859289931753699869641898627405873782685376888275439<107>

62168955999368396855881680454034118372540953<44>
1399946349044628821736377010983222671343089158068130542164161863<64>

N=87033202975231960739207116018710221608772333410014569434859289931753699869641898627405873782685376888275439
  ( 107 digits)
SNFS difficulty: 111 digits.
Divisors found:
p44 factor: 62168955999368396855881680454034118372540953
p64 factor: 1399946349044628821736377010983222671343089158068130542164161863
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.35 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 87033202975231960739207116018710221608772333410014569434859289931753699869641898627405873782685376888275439
m: 1000000000000000000000000000
deg: 4
c4: 1135
c0: -1
skew: 0.17
# Murphy_E = 1.129e-07
type: snfs
lss: 1
rlim: 500000
alim: 500000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [250000, 450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 46244 x 46469
Total sieving time: 0.34 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,111.000,4,0,0,0,0,0,0,0,0,500000,500000,25,25,44,44,2.2,2.2,20000
total time: 0.35 hours.
 --------- CPU info (if available) ----------

652541168523652040684515506466649962848217388239823687267212269363978027242740633<81>

3264388572207672978679389312007433261<37>
199896903842652851694496229035624016921629853<45>

02/17/22 00:23:43, starting SIQS on c81: 652541168523652040684515506466649962848217388239823687267212269363978027242740633
02/17/22 00:23:43, random seed: 11273400532807812599
02/17/22 00:23:43, ==== sieve params ====
02/17/22 00:23:43, n = 81 digits, 269 bits
02/17/22 00:23:43, factor base: 50560 primes (max prime = 1315481)
02/17/22 00:23:43, single large prime cutoff: 124970695 (95 * pmax)
02/17/22 00:23:43, double large prime range from 1730490261361 to 147711505266525
02/17/22 00:23:43, DLP MFB = 1.75
02/17/22 00:23:43, allocating 7 large prime slices of factor base
02/17/22 00:23:43, buckets hold 2048 elements
02/17/22 00:23:43, large prime hashtables have 802816 bytes
02/17/22 00:23:43, using AVX2 enabled 32k sieve core
02/17/22 00:23:43, sieve interval: 7 blocks of size 32768
02/17/22 00:23:43, polynomial A has ~ 10 factors
02/17/22 00:23:43, using multiplier of 1
02/17/22 00:23:43, using multiplier of 1
02/17/22 00:23:43, using Q2(x) polynomials for kN mod 8 = 1
02/17/22 00:23:43, using SPV correction of 19 bits, starting at offset 32
02/17/22 00:23:43, trial factoring cutoff at 86 bits
02/17/22 00:23:43, ==== sieving started (64 threads) ====
02/17/22 00:24:01, trial division touched 14754308 sieve locations out of 65175355392
02/17/22 00:24:01, total reports = 14754308, total surviving reports = 2354090
02/17/22 00:24:01, total blocks sieved = 1989848, avg surviving reports per block = 1.18
02/17/22 00:24:01, dlp-ecm: 0 failures, 39473 attempts, 1612482 outside range, 421898 prp, 37753 useful
02/17/22 00:24:01, 50789 relations found: 23862 full + 26927 from 294128 partial, using 142071 polys (589 A polys)
02/17/22 00:24:01, on average, sieving found 2.24 rels/poly and 18011.15 rels/sec
02/17/22 00:24:01, trial division touched 14754308 sieve locations out of 65175355392
02/17/22 00:24:01, ==== post processing stage (msieve-1.38) ====
02/17/22 00:24:01, QS elapsed time = 17.6552 seconds.
02/17/22 00:24:01, begin singleton removal with 317990 relations
02/17/22 00:24:01, reduce to 78266 relations in 5 passes
02/17/22 00:24:01, recovered 78266 relations
02/17/22 00:24:01, recovered 60008 polynomials
02/17/22 00:24:01, attempting to build 50789 cycles
02/17/22 00:24:01, found 50789 cycles from 78266 relations in 2 passes
02/17/22 00:24:01, distribution of cycle lengths:
02/17/22 00:24:01,    length 1 : 23862
02/17/22 00:24:01,    length 2 : 21792
02/17/22 00:24:01,    length 3 : 4096
02/17/22 00:24:01,    length 4 : 846
02/17/22 00:24:01,    length 5 : 165
02/17/22 00:24:01,    length 6 : 25
02/17/22 00:24:01,    length 7 : 2
02/17/22 00:24:01,    length 9+: 1
02/17/22 00:24:01, largest cycle: 8 relations
02/17/22 00:24:01, matrix is 50560 x 50789 (7.6 MB) with weight 1590078 (31.31/col)
02/17/22 00:24:01, sparse part has weight 1590078 (31.31/col)
02/17/22 00:24:01, filtering completed in 4 passes
02/17/22 00:24:01, matrix is 36489 x 36553 (5.9 MB) with weight 1258085 (34.42/col)
02/17/22 00:24:01, sparse part has weight 1258085 (34.42/col)
02/17/22 00:24:01, saving the first 48 matrix rows for later
02/17/22 00:24:01, matrix is 36441 x 36553 (5.2 MB) with weight 1074346 (29.39/col)
02/17/22 00:24:01, sparse part has weight 990609 (27.10/col)
02/17/22 00:24:01, matrix includes 64 packed rows
02/17/22 00:24:01, using block size 14621 for processor cache size 12288 kB
02/17/22 00:24:02, commencing Lanczos iteration
02/17/22 00:24:02, memory use: 4.6 MB
02/17/22 00:24:03, lanczos halted after 578 iterations (dim = 36437)
02/17/22 00:24:03, recovered 15 nontrivial dependencies
02/17/22 00:24:03, prp45 = 199896903842652851694496229035624016921629853
02/17/22 00:24:03, prp37 = 3264388572207672978679389312007433261
02/17/22 00:24:03, Lanczos elapsed time = 2.1570 seconds.
02/17/22 00:24:03, Sqrt elapsed time = 0.0420 seconds.
02/17/22 00:24:03, SIQS elapsed time = 19.8578 seconds.

956540148414429479570575081472706584754933675018795443815402157488226415227305543716425031067977068034694723<108>

1110772292489455581741661118689627641420978287<46>
861148729475991850919172130797517379830018247415128531560741229<63>

N=956540148414429479570575081472706584754933675018795443815402157488226415227305543716425031067977068034694723
  ( 108 digits)
SNFS difficulty: 131 digits.
Divisors found:
p46 factor: 1110772292489455581741661118689627641420978287
p63 factor: 861148729475991850919172130797517379830018247415128531560741229
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 3.62 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 956540148414429479570575081472706584754933675018795443815402157488226415227305543716425031067977068034694723
m: 100000000000000000000000000000000
deg: 4
c4: 1135
c0: -1
skew: 0.17
# Murphy_E = 1.271e-08
type: snfs
lss: 1
rlim: 1070000
alim: 1070000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1070000/1070000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [535000, 1135001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 118793 x 119018
Total sieving time: 3.52 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,131.000,4,0,0,0,0,0,0,0,0,1070000,1070000,26,26,47,47,2.3,2.3,100000
total time: 3.62 hours.
 --------- CPU info (if available) ----------

12611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<137>

329160757280912558354327878035904690042117468455052616737702681<63>
38312924102153919835406937899201458896093210062423846274198546931814488031<74>

N=12611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
  ( 137 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=329160757280912558354327878035904690042117468455052616737702681 (pp63)
 r2=38312924102153919835406937899201458896093210062423846274198546931814488031 (pp74)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.74 hours.
Scaled time: 29.34 units (timescale=7.849).
Factorization parameters were as follows:
n: 12611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
m: 5000000000000000000000000000000000
deg: 4
c4: 908
c0: -5
skew: 0.27
# Murphy_E = 5.361e-09
type: snfs
lss: 1
rlim: 1380000
alim: 1380000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1380000/1380000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [690000, 1690001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 243804 x 244029
Total sieving time: 3.69 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,137.000,4,0,0,0,0,0,0,0,0,1380000,1380000,26,26,48,48,2.3,2.3,100000
total time: 3.74 hours.

GNFS, Msieve

47850540648137927882089849741671760074552654299468445424623719153631800119367246857305066113896864786132028163970015228973<122>

1081620707779764417448660025286107218050101125737623689<55>
44239667661652310803790123758536408348316736664288371690737518548357<68>

N=47850540648137927882089849741671760074552654299468445424623719153631800119367246857305066113896864786132028163970015228973
  ( 122 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=1081620707779764417448660025286107218050101125737623689 (pp55)
 r2=44239667661652310803790123758536408348316736664288371690737518548357 (pp68)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.90 hours.
Scaled time: 45.68 units (timescale=7.746).
Factorization parameters were as follows:
n: 47850540648137927882089849741671760074552654299468445424623719153631800119367246857305066113896864786132028163970015228973
m: 10000000000000000000000000000000000
deg: 4
c4: 11350
c0: -1
skew: 0.10
# Murphy_E = 3.751e-09
type: snfs
lss: 1
rlim: 1510000
alim: 1510000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1510000/1510000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [755000, 1355001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 242155 x 242380
Total sieving time: 5.86 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,140.000,4,0,0,0,0,0,0,0,0,1510000,1510000,26,26,48,48,2.3,2.3,100000
total time: 5.90 hours.

GNFS, Msieve

20123200594489257387763397365741733512942440930381328073485122204517858070024774307888767269932676604397110496203509342757171581<128>

669690175436538785925844174359933496103021061945334717<54>
30048522932820257767414843007208738579043231819967573289682670237637273793<74>

N=20123200594489257387763397365741733512942440930381328073485122204517858070024774307888767269932676604397110496203509342757171581
  ( 128 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=669690175436538785925844174359933496103021061945334717 (pp54)
 r2=30048522932820257767414843007208738579043231819967573289682670237637273793 (pp74)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.16 hours.
Scaled time: 40.21 units (timescale=7.794).
Factorization parameters were as follows:
n: 20123200594489257387763397365741733512942440930381328073485122204517858070024774307888767269932676604397110496203509342757171581
m: 100000000000000000000000000000000000
deg: 4
c4: 227
c0: -2
skew: 0.31
# Murphy_E = 4.372e-09
type: snfs
lss: 1
rlim: 1650000
alim: 1650000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1650000/1650000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [825000, 1325001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 204840 x 205066
Total sieving time: 5.12 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,142.000,4,0,0,0,0,0,0,0,0,1650000,1650000,26,26,48,48,2.3,2.3,100000
total time: 5.16 hours.

GNFS, Msieve

104986149087025860939416700457492424525100815300749313868852379228133235627798862742253754138154182467687162103455661320131151150877943<135>

7176708205745929275881974318610359930652851109823943218013932169<64>
14628733129064686646178452281907527348465396091100144187342504555314047<71>

N=104986149087025860939416700457492424525100815300749313868852379228133235627798862742253754138154182467687162103455661320131151150877943
  ( 135 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=7176708205745929275881974318610359930652851109823943218013932169 (pp64)
 r2=14628733129064686646178452281907527348465396091100144187342504555314047 (pp71)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.90 hours.
Scaled time: 70.25 units (timescale=7.893).
Factorization parameters were as follows:
n: 104986149087025860939416700457492424525100815300749313868852379228133235627798862742253754138154182467687162103455661320131151150877943
m: 500000000000000000000000000000000000
deg: 4
c4: 908
c0: -5
skew: 0.27
# Murphy_E = 2.129e-09
type: snfs
lss: 1
rlim: 1880000
alim: 1880000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1880000/1880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [940000, 1840001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 303276 x 303502
Total sieving time: 8.85 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,145.000,4,0,0,0,0,0,0,0,0,1880000,1880000,26,26,49,49,2.3,2.3,100000
total time: 8.90 hours.

GNFS, Msieve

17980356412311328752172343240653297783498372921551284224346474770676244755025481127653806859<92>

5503002665315380217979619372550874202723<40>
3267371925083533333563997087333134722861513730079033<52>

02/17/22 00:27:00, starting SIQS on c92: 17980356412311328752172343240653297783498372921551284224346474770676244755025481127653806859
02/17/22 00:27:00, random seed: 15747520169764243887
02/17/22 00:27:00, ==== sieve params ====
02/17/22 00:27:00, n = 92 digits, 304 bits
02/17/22 00:27:00, factor base: 78944 primes (max prime = 2135101)
02/17/22 00:27:00, single large prime cutoff: 256212120 (120 * pmax)
02/17/22 00:27:00, double large prime range from 4558656280201 to 3596742854662082
02/17/22 00:27:00, DLP MFB = 1.85
02/17/22 00:27:00, allocating 8 large prime slices of factor base
02/17/22 00:27:00, buckets hold 2048 elements
02/17/22 00:27:00, large prime hashtables have 1179648 bytes
02/17/22 00:27:00, using AVX2 enabled 32k sieve core
02/17/22 00:27:00, sieve interval: 9 blocks of size 32768
02/17/22 00:27:00, polynomial A has ~ 12 factors
02/17/22 00:27:00, using multiplier of 1
02/17/22 00:27:00, using multiplier of 1 (kn mod 8 == 3)
02/17/22 00:27:00, using SPV correction of 20 bits, starting at offset 35
02/17/22 00:27:00, trial factoring cutoff at 93 bits
02/17/22 00:27:00, ==== sieving started (96 threads) ====
02/17/22 00:29:27, trial division touched 76118055 sieve locations out of 516720033792
02/17/22 00:29:27, total reports = 76118055, total surviving reports = 17427815
02/17/22 00:29:27, total blocks sieved = 15770394, avg surviving reports per block = 1.11
02/17/22 00:29:27, dlp-ecm: 26 failures, 1120882 attempts, 11130747 outside range, 4862456 prp, 905994 useful
02/17/22 00:29:27, 84317 relations found: 22423 full + 61894 from 1197301 partial, using 876058 polys (1290 A polys)
02/17/22 00:29:27, on average, sieving found 1.39 rels/poly and 8313.26 rels/sec
02/17/22 00:29:27, trial division touched 76118055 sieve locations out of 516720033792
02/17/22 00:29:27, ==== post processing stage (msieve-1.38) ====
02/17/22 00:29:27, QS elapsed time = 146.7213 seconds.
02/17/22 00:29:27, begin singleton removal with 1219724 relations
02/17/22 00:29:28, reduce to 209218 relations in 10 passes
02/17/22 00:29:29, recovered 209218 relations
02/17/22 00:29:29, recovered 186306 polynomials
02/17/22 00:29:29, attempting to build 84317 cycles
02/17/22 00:29:29, found 84317 cycles from 209218 relations in 6 passes
02/17/22 00:29:29, distribution of cycle lengths:
02/17/22 00:29:29,    length 1 : 22423
02/17/22 00:29:29,    length 2 : 16165
02/17/22 00:29:29,    length 3 : 14708
02/17/22 00:29:29,    length 4 : 11121
02/17/22 00:29:29,    length 5 : 8065
02/17/22 00:29:29,    length 6 : 5056
02/17/22 00:29:29,    length 7 : 3030
02/17/22 00:29:29,    length 9+: 3749
02/17/22 00:29:29, largest cycle: 20 relations
02/17/22 00:29:29, matrix is 78944 x 84317 (22.6 MB) with weight 5244454 (62.20/col)
02/17/22 00:29:29, sparse part has weight 5244454 (62.20/col)
02/17/22 00:29:29, filtering completed in 4 passes
02/17/22 00:29:29, matrix is 71816 x 71880 (18.1 MB) with weight 4173165 (58.06/col)
02/17/22 00:29:29, sparse part has weight 4173165 (58.06/col)
02/17/22 00:29:29, saving the first 48 matrix rows for later
02/17/22 00:29:29, matrix is 71768 x 71880 (15.7 MB) with weight 3669880 (51.06/col)
02/17/22 00:29:29, sparse part has weight 3384141 (47.08/col)
02/17/22 00:29:29, matrix includes 64 packed rows
02/17/22 00:29:29, using block size 28752 for processor cache size 12288 kB
02/17/22 00:29:30, commencing Lanczos iteration
02/17/22 00:29:30, memory use: 12.5 MB
02/17/22 00:29:37, lanczos halted after 1137 iterations (dim = 71766)
02/17/22 00:29:37, recovered 15 nontrivial dependencies
02/17/22 00:29:38, prp52 = 3267371925083533333563997087333134722861513730079033
02/17/22 00:29:38, prp40 = 5503002665315380217979619372550874202723
02/17/22 00:29:38, Lanczos elapsed time = 10.5660 seconds.
02/17/22 00:29:38, Sqrt elapsed time = 0.2020 seconds.
02/17/22 00:29:38, SIQS elapsed time = 157.4896 seconds.

232261440244418302335357524579127128749637130066909081788247372403995971536014274474866567124650562319753770708333<114>

55591380303737273111211842285419577588025881939870139349<56>
4178011752458751799594484323026048074974070280690804770617<58>

N=232261440244418302335357524579127128749637130066909081788247372403995971536014274474866567124650562319753770708333
  ( 114 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=55591380303737273111211842285419577588025881939870139349 (pp56)
 r2=4178011752458751799594484323026048074974070280690804770617 (pp58)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.77 hours.
Scaled time: 77.18 units (timescale=7.899).
Factorization parameters were as follows:
n: 232261440244418302335357524579127128749637130066909081788247372403995971536014274474866567124650562319753770708333
m: 1000000000000000000000000000000000000
deg: 4
c4: 1135
c0: -1
skew: 0.17
# Murphy_E = 2.027e-09
type: snfs
lss: 1
rlim: 1980000
alim: 1980000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1980000/1980000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [990000, 1990001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 261235 x 261460
Total sieving time: 9.73 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,147.000,4,0,0,0,0,0,0,0,0,1980000,1980000,26,26,49,49,2.3,2.3,100000
total time: 9.77 hours.

GNFS, Msieve

582204703989884223506297924223527073238911437778996147201138455904043727813663371855927380536980684547920594789563119558449013159785095733<138>

8829326412075924527341998536527930636137841<43>
65939877723129505868038366713246794153050946131720011879029222668512782009296144336905301591813<95>

Number: 25222_149
N = 582204703989884223506297924223527073238911437778996147201138455904043727813663371855927380536980684547920594789563119558449013159785095733 (138 digits)
SNFS difficulty: 152 digits.
Divisors found:
r1=8829326412075924527341998536527930636137841 (pp43)
r2=65939877723129505868038366713246794153050946131720011879029222668512782009296144336905301591813 (pp95)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 8.01 hours.
Factorization parameters were as follows:
n: 582204703989884223506297924223527073238911437778996147201138455904043727813663371855927380536980684547920594789563119558449013159785095733
m: 10000000000000000000000000000000000000
deg: 4
c4: 1135
c0: -1
skew: 0.17
# Murphy_E = 1.267e-09
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 7446291
Relations: 673608 relations
Pruned matrix : 397574 x 397801
Polynomial selection time: 0.00 hours.
Total sieving time: 7.85 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.07 hours.
time per square root: 0.04 hours.
Prototype def-par.txt line would be: snfs,152,4,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 8.01 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 8, speed: 3.50GHz

GGNFS, Msieve

8125566010304090063182607842783158519067149672172590755011467918962947182674395586497199216154135997834437892414548854344399141<127>

4128906593601556301605329449706291325940160039366929281<55>
1967970412044689493522840790940779625341498454224385334396172429428273061<73>

Number: 25222_152
N = 8125566010304090063182607842783158519067149672172590755011467918962947182674395586497199216154135997834437892414548854344399141 (127 digits)
SNFS difficulty: 155 digits.
Divisors found:
r1=4128906593601556301605329449706291325940160039366929281 (pp55)
r2=1967970412044689493522840790940779625341498454224385334396172429428273061 (pp73)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 15.01 hours.
Factorization parameters were as follows:
n: 8125566010304090063182607842783158519067149672172590755011467918962947182674395586497199216154135997834437892414548854344399141
m: 100000000000000000000000000000000000000
deg: 4
c4: 227
c0: -2
skew: 0.31
# Murphy_E = 1.069e-09
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 8455299
Relations: 738314 relations
Pruned matrix : 431838 x 432069
Polynomial selection time: 0.00 hours.
Total sieving time: 14.89 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.05 hours.
time per square root: 0.01 hours.
Prototype def-par.txt line would be: snfs,155,4,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 15.01 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz

GGNFS, Msieve

8653316297167018246511469562412449499230379001572689928188657467817754742021774265249303889416343<97>

6550839781951446566983047862279650526481<40>
1320947631936933057612310413246598670762539241703271684903<58>

N=8653316297167018246511469562412449499230379001572689928188657467817754742021774265249303889416343
  ( 97 digits)
Divisors found:
p40 factor: 6550839781951446566983047862279650526481
p58 factor: 1320947631936933057612310413246598670762539241703271684903
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.15 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 8653316297167018246511469562412449499230379001572689928188657467817754742021774265249303889416343
skew: 1045206.73
type: gnfs
c0: -1229719223424424011966200985
c1: -12436224283889459752
c2: -9475424183460377
c3: -505631130
c4: 8400
Y0: -179153750333186740976224
Y1: 2216096349437
rlim: 1620000
alim: 1620000
lpbr: 25
lpba: 25
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
Factor base limits: 1620000/1620000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 50/50
Sieved algebraic special-q in [810000, 1050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 178118 x 178345
Total sieving time: 2.06 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,96,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1620000,1620000,25,25,50,50,2.5,2.5,60000
total time: 2.15 hours.
 --------- CPU info (if available) ----------

61582228562259971213479352064644931564235409319265421041236694953660596078864796942493286932007960618465576133576354570825093919159766783<137>

769455306891318930314056302309820470517012307<45>
80033535425285073060451583399678767031416023019003528348528627003795890292131975640107896869<92>

N=61582228562259971213479352064644931564235409319265421041236694953660596078864796942493286932007960618465576133576354570825093919159766783
  ( 137 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=769455306891318930314056302309820470517012307 (pp45)
 r2=80033535425285073060451583399678767031416023019003528348528627003795890292131975640107896869 (pp92)
Version: Msieve v. 1.52 (SVN 927)
Total time: 13.46 hours.
Scaled time: 105.91 units (timescale=7.868).
Factorization parameters were as follows:
n: 61582228562259971213479352064644931564235409319265421041236694953660596078864796942493286932007960618465576133576354570825093919159766783
m: 10000000000000000000000000000000
deg: 5
c5: 227
c0: -2
skew: 0.39
# Murphy_E = 7.994e-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, 2550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 420799 x 421024
Total sieving time: 13.37 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,157.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 13.46 hours.

GNFS, Msieve

260888971952546290222045635508400268087500120974289053174665885582760788221080745978047296259507417334406803398664686193<120>

85524785193302605527675275238651319<35>
3050448725043700532454109217068551955082057134329260248673008279039280415496920301847<85>

Run 89 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3802238981
Step 1 took 9297ms
Step 2 took 4609ms
********** Factor found in step 2: 85524785193302605527675275238651319
Found prime factor of 35 digits: 85524785193302605527675275238651319
Prime cofactor 3050448725043700532454109217068551955082057134329260248673008279039280415496920301847 has 85 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

2375392116027683328447932180754047161986463177000439829318486266049013238914596462656525640536059406889046673<109>

531290691483727087789603750559006030601533<42>
4470983877759957434874081479003938684745818929276426828713518532581<67>

2375392116027683328447932180754047161986463177000439829318486266049013238914596462656525640536059406889046673=531290691483727087789603750559006030601533*4470983877759957434874081479003938684745818929276426828713518532581

cado polynomial
n: 2375392116027683328447932180754047161986463177000439829318486266049013238914596462656525640536059406889046673
skew: 4440.002
c0: 636271818362165709635640
c1: -381347282510555424347
c2: -72876722863944458
c3: 15116401593085
c4: 2921232846
c5: 370440
Y0: -534977012339767062757
Y1: 68614295652508727
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.743e-06
# f(x) = 370440*x^5+2921232846*x^4+15116401593085*x^3-72876722863944458*x^2-381347282510555424347*x+636271818362165709635640
# g(x) = 68614295652508727*x-534977012339767062757

cado parameters (extracts)
tasks.lim0 = 1400000
tasks.lim1 = 2500000
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: 4470983877759957434874081479003938684745818929276426828713518532581 531290691483727087789603750559006030601533
Info:Square Root: Total cpu/real time for sqrt: 177.46/51.5736
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 86.6/92.8758
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 67.19999999999999s
Info:Square Root: Total cpu/real time for sqrt: 177.46/51.5736
Info:Filtering - Singleton removal: Total cpu/real time for purge: 62.92/72.6919
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5218880
Info:Lattice Sieving: Average J: 1896.65 for 85204 special-q, max bucket fill -bkmult 1.0,1s:1.286220
Info:Lattice Sieving: Total time: 8257.09s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.37/0.646093
Info:Linear Algebra: Total cpu/real time for bwc: 1155.58/299.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 698.59, WCT time 178.94, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9344 iterations)
Info:Linear Algebra: Lingen CPU time 44.75, WCT time 11.39
Info:Linear Algebra: Mksol: CPU time 387.9,  WCT time 99.24, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4736 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.55/16.4558
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 20.29/21.0326
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 20.199999999999996s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 235.8
Info:Polynomial Selection (root optimized): Rootsieve time: 234.85
Info:Filtering - Merging: Merged matrix has 297812 rows and total weight 46244644 (155.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 46.14/13.9243
Info:Filtering - Merging: Total cpu/real time for replay: 10.16/8.19553
Info:Quadratic Characters: Total cpu/real time for characters: 11.24/4.3641
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11587/31.150/38.419/45.230/1.038
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 8873/30.820/34.054/38.920/0.858
Info:Polynomial Selection (size optimized): Total time: 705.83
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 17434.2/4922.41
Info:root: Cleaning up computation data in /tmp/cado.guyg2a_f
4470983877759957434874081479003938684745818929276426828713518532581 531290691483727087789603750559006030601533

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)

1151578505293297637208617200530367621384946644424515680402130974595998431426720480701671661385418529683276231827171098855271588641695719<136>

189315185425824179243918807960528298918140079743<48>
6082863890200181848654420986317744651357054032816409173991326320918710696073013134369433<88>

N=1151578505293297637208617200530367621384946644424515680402130974595998431426720480701671661385418529683276231827171098855271588641695719
  ( 136 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=189315185425824179243918807960528298918140079743 (pp48)
 r2=6082863890200181848654420986317744651357054032816409173991326320918710696073013134369433 (pp88)
Version: Msieve v. 1.52 (SVN 927)
Total time: 18.45 hours.
Scaled time: 145.15 units (timescale=7.868).
Factorization parameters were as follows:
n: 1151578505293297637208617200530367621384946644424515680402130974595998431426720480701671661385418529683276231827171098855271588641695719
m: 10000000000000000000000000000000
deg: 5
c5: 113500
c0: -1
skew: 0.10
# Murphy_E = 4.485e-10
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1650000, 3150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 639792 x 640017
Total sieving time: 18.32 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,160.000,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,100000
total time: 18.45 hours.

GNFS, Msieve

575284091486384182595549450629683157843547246754031612001297602480695575759788689228896971634314481150542747422484582847501328387390358760467549<144>

966952250939642495860923133595860886672402063<45>
594945707947158624097867779630607276673376290444546372723890184331530115438059958554156391725552723<99>

N=575284091486384182595549450629683157843547246754031612001297602480695575759788689228896971634314481150542747422484582847501328387390358760467549
  ( 144 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=966952250939642495860923133595860886672402063 (pp45)
 r2=594945707947158624097867779630607276673376290444546372723890184331530115438059958554156391725552723 (pp99)
Version: Msieve v. 1.52 (SVN 927)
Total time: 20.04 hours.
Scaled time: 155.23 units (timescale=7.746).
Factorization parameters were as follows:
n: 575284091486384182595549450629683157843547246754031612001297602480695575759788689228896971634314481150542747422484582847501328387390358760467549
m: 100000000000000000000000000000000
deg: 5
c5: 1135
c0: -1
skew: 0.24
# Murphy_E = 4.368e-10
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1850000, 3450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 647336 x 647565
Total sieving time: 19.86 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,163.000,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,51,51,2.4,2.4,100000
total time: 20.04 hours.

GNFS, Msieve

7526643493902965743611271468097261119766347945086200228594113083219658866107781220721539606909120438116749344759<112>

1551255685850104461255167375795871230069<40>
4851968352192234384329601897025484930810553214282597222290182433576606011<73>

Run 539 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3907015796
Step 1 took 7767ms
Step 2 took 4189ms
********** Factor found in step 2: 1551255685850104461255167375795871230069
Found prime factor of 40 digits: 1551255685850104461255167375795871230069
Prime cofactor 4851968352192234384329601897025484930810553214282597222290182433576606011 has 73 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

1709898763932599617042529467656007952959299787845570935467960527857672019289870886212223081945806995019665761385218680227986216000390179718494157629<148>

100220709349091380357602623083394282595413<42>
17061331685217231783015459018692143520699288558723721936606192107380090932810379703307146035589151862793033<107>

N=1709898763932599617042529467656007952959299787845570935467960527857672019289870886212223081945806995019665761385218680227986216000390179718494157629
  ( 148 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=100220709349091380357602623083394282595413 (pp42)
 r2=17061331685217231783015459018692143520699288558723721936606192107380090932810379703307146035589151862793033 (pp107)
Version: Msieve v. 1.52 (SVN 927)
Total time: 39.14 hours.
Scaled time: 307.71 units (timescale=7.862).
Factorization parameters were as follows:
n: 1709898763932599617042529467656007952959299787845570935467960527857672019289870886212223081945806995019665761385218680227986216000390179718494157629
m: 1000000000000000000000000000000000
deg: 5
c5: 11350
c0: -1
skew: 0.15
# Murphy_E = 2.096e-10
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2300000, 5400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 944647 x 944874
Total sieving time: 38.90 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,169.000,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 39.14 hours.

GNFS, Msieve

6005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291<169>

848923957865689352901089261744506766524809144773<48>
7074003448305459735566943746805233059458229264350626700802147385591604864118426127663382644435508299824536218856929203567<121>

Number: n
N=6005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291  ( 169 digits)
SNFS difficulty: 171 digits.
Divisors found:

Thu Feb 24 16:38:10 2022  p48 factor: 848923957865689352901089261744506766524809144773
Thu Feb 24 16:38:10 2022  p121 factor: 7074003448305459735566943746805233059458229264350626700802147385591604864118426127663382644435508299824536218856929203567
Thu Feb 24 16:38:10 2022  elapsed time 00:17:02 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.301).
Factorization parameters were as follows:
#
# N = 227x10^169-2 = 252(169)
#
n: 6005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291
m: 5000000000000000000000000000000000
deg: 5
c5: 1816
c0: -5
skew: 0.31
# Murphy_E = 1.805e-10
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 29750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3018856 hash collisions in 22770545 relations (20572753 unique)
Msieve: matrix is 931765 x 932013 (188.0 MB)

Sieving start time : 2022/02/24 11:21:59
Sieving end time  : 2022/02/24 14:07:37

Total sieving time: 2hrs 45min 38secs.

Total relation processing time: 0hrs 9min 27sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 50sec.

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

17511591875129443283246921815514336429465247436464105356374859242655973903776676912021512014949322465484190793809<113>

1264030009631212598142482440756552576676289630791<49>
13853778582550063263620522740040012028955280674773509779106450599<65>

13853778582550063263620522740040012028955280674773509779106450599 1264030009631212598142482440756552576676289630791

n: 17511591875129443283246921815514336429465247436464105356374859242655973903776676912021512014949322465484190793809
skew: 22773.966
c0: 14683806599631928714948960
c1: 7826740671696870348248
c2: -313760550058909745
c3: -36857578643133
c4: 358148390
c5: 7200
Y0: -7536724124619271964589
Y1: 27936242126399
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.462e-06
# f(x) = 7200*x^5+358148390*x^4-36857578643133*x^3-313760550058909745*x^2+7826740671696870348248*x+14683806599631928714948960
# g(x) = 27936242126399*x-7536724124619271964589

cado-nfs 3.0.0

7781240631448914902969125856023674689951422988304256205313254159619962436134213803004140759536261711705987882055987034863518619099791844786027<142>

7357915686963773917191493044256263461927016923233<49>
1057533269270149111828828891830211927071718676402325993576078905802150204782385999682482406219<94>

Number: n
N=7781240631448914902969125856023674689951422988304256205313254159619962436134213803004140759536261711705987882055987034863518619099791844786027  ( 142 digits)
SNFS difficulty: 176 digits.
Divisors found:

Wed May 25 13:13:25 2022  p49 factor: 7357915686963773917191493044256263461927016923233
Wed May 25 13:13:25 2022  p94 factor: 1057533269270149111828828891830211927071718676402325993576078905802150204782385999682482406219
Wed May 25 13:13:25 2022  elapsed time 00:23:59 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 227x10^174-2 = 252(174)
#
n: 7781240631448914902969125856023674689951422988304256205313254159619962436134213803004140759536261711705987882055987034863518619099791844786027
m: 50000000000000000000000000000000000
deg: 5
c5: 1816
c0: -5
skew: 0.31
# Murphy_E = 1.14e-10
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 30300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3768364 hash collisions in 28993346 relations (26788696 unique)
Msieve: matrix is 980026 x 980252 (336.1 MB)

Sieving start time : 2022/05/25 08:58:50
Sieving end time  : 2022/05/25 12:48:15

Total sieving time: 3hrs 49min 25secs.

Total relation processing time: 0hrs 15min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 12sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

272433381532028061763005373687410159389359661636059892698013540223266373440170568600892573218202845632588737496355023753979076716283745175516587<144>

428851171302452170000200114490176407540254298273507<51>
635263232940761442945271725603598218553548243527795438148821984522031372078238214171026700441<93>

Sat Apr  9 19:16:28 2022  Msieve v. 1.53 (SVN unknown)
Sat Apr  9 19:16:28 2022  random seeds: b581ed50 9651a30a
Sat Apr  9 19:16:28 2022  factoring 272433381532028061763005373687410159389359661636059892698013540223266373440170568600892573218202845632588737496355023753979076716283745175516587 (144 digits)
Sat Apr  9 19:16:28 2022  searching for 15-digit factors
Sat Apr  9 19:16:29 2022  commencing number field sieve (144-digit input)
Sat Apr  9 19:16:29 2022  R0: -100000000000000000000000000000000000
Sat Apr  9 19:16:29 2022  R1: 1
Sat Apr  9 19:16:29 2022  A0: -2
Sat Apr  9 19:16:29 2022  A1: 0
Sat Apr  9 19:16:29 2022  A2: 0
Sat Apr  9 19:16:29 2022  A3: 0
Sat Apr  9 19:16:29 2022  A4: 0
Sat Apr  9 19:16:29 2022  A5: 227
Sat Apr  9 19:16:29 2022  skew 0.39, size 2.148e-12, alpha 0.844, combined = 1.304e-10 rroots = 1
Sat Apr  9 19:16:29 2022  
Sat Apr  9 19:16:29 2022  commencing square root phase
Sat Apr  9 19:16:29 2022  reading relations for dependency 1
Sat Apr  9 19:16:29 2022  read 681820 cycles
Sat Apr  9 19:16:30 2022  cycles contain 2422452 unique relations
Sat Apr  9 19:16:48 2022  read 2422452 relations
Sat Apr  9 19:16:56 2022  multiplying 2422452 relations
Sat Apr  9 19:17:44 2022  multiply complete, coefficients have about 70.69 million bits
Sat Apr  9 19:17:44 2022  initial square root is modulo 118751
Sat Apr  9 19:18:37 2022  GCD is 1, no factor found
Sat Apr  9 19:18:37 2022  reading relations for dependency 2
Sat Apr  9 19:18:37 2022  read 681484 cycles
Sat Apr  9 19:18:38 2022  cycles contain 2422148 unique relations
Sat Apr  9 19:18:56 2022  read 2422148 relations
Sat Apr  9 19:19:04 2022  multiplying 2422148 relations
Sat Apr  9 19:19:56 2022  multiply complete, coefficients have about 70.69 million bits
Sat Apr  9 19:19:56 2022  initial square root is modulo 118571
Sat Apr  9 19:21:36 2022  GCD is N, no factor found
Sat Apr  9 19:21:36 2022  reading relations for dependency 3
Sat Apr  9 19:21:36 2022  read 680875 cycles
Sat Apr  9 19:21:37 2022  cycles contain 2419880 unique relations
Sat Apr  9 19:22:05 2022  read 2419880 relations
Sat Apr  9 19:22:17 2022  multiplying 2419880 relations
Sat Apr  9 19:23:40 2022  multiply complete, coefficients have about 70.62 million bits
Sat Apr  9 19:23:40 2022  initial square root is modulo 117241
Sat Apr  9 19:25:23 2022  GCD is N, no factor found
Sat Apr  9 19:25:23 2022  reading relations for dependency 4
Sat Apr  9 19:25:24 2022  read 681808 cycles
Sat Apr  9 19:25:25 2022  cycles contain 2422032 unique relations
Sat Apr  9 19:25:53 2022  read 2422032 relations
Sat Apr  9 19:26:08 2022  multiplying 2422032 relations
Sat Apr  9 19:27:31 2022  multiply complete, coefficients have about 70.68 million bits
Sat Apr  9 19:27:32 2022  initial square root is modulo 118571
Sat Apr  9 19:29:11 2022  sqrtTime: 762
Sat Apr  9 19:29:11 2022  p51 factor: 428851171302452170000200114490176407540254298273507
Sat Apr  9 19:29:11 2022  p93 factor: 635263232940761442945271725603598218553548243527795438148821984522031372078238214171026700441
Sat Apr  9 19:29:11 2022  elapsed time 00:12:43
Sat Apr 09 19:29:12 2022 -> Computing time scale for this machine...
Sat Apr 09 19:29:12 2022 -> procrels -speedtest> PIPE
Sat Apr 09 19:29:14 2022 -> Factorization summary written to s178-25222_175.txt

244354022691554177700273418157549139916898103296088182738056793472410600874076944605911860319920773321277099614631100777196495080626062993821180219165105814979870395487523951<174>

42897486709547086418750511461947302189897174306110668010399541980575186815151254859<83>
5696231677768006898441396096485922590338154126088004910306336847230238708752795902652068589<91>

Number: n
N=244354022691554177700273418157549139916898103296088182738056793472410600874076944605911860319920773321277099614631100777196495080626062993821180219165105814979870395487523951  ( 174 digits)
SNFS difficulty: 178 digits.
Divisors found:

Sat Feb 19 08:46:55 2022  p83 factor: 42897486709547086418750511461947302189897174306110668010399541980575186815151254859
Sat Feb 19 08:46:55 2022  p91 factor: 5696231677768006898441396096485922590338154126088004910306336847230238708752795902652068589
Sat Feb 19 08:46:55 2022  elapsed time 00:35:30 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.297).
Factorization parameters were as follows:
#
# N = 227x10^176-2 = 252(176)
#
n: 244354022691554177700273418157549139916898103296088182738056793472410600874076944605911860319920773321277099614631100777196495080626062993821180219165105814979870395487523951
m: 100000000000000000000000000000000000
deg: 5
c5: 1135
c0: -1
skew: 0.24
# Murphy_E = 1.111e-10
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6020987 hash collisions in 40807812 relations (36039927 unique)
Msieve: matrix is 1334085 x 1334321 (208.5 MB)

Sieving start time : 2022/02/19 05:38:55
Sieving end time  : 2022/02/19 07:33:52

Total sieving time: 1hrs 54min 57secs.

Total relation processing time: 0hrs 18min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 55sec.

Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118211] 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)

3530072645707275272848781610462015853961742023056546785333525886549372897042310304343544939605344949430057179136220581689401070563525824311685543<145>

187551345079887601562352403408331618970829675616375526125607024941<66>
18821899913347136123842942167788419044716777428985333730323081619458821696565923<80>

Number: n
N=3530072645707275272848781610462015853961742023056546785333525886549372897042310304343544939605344949430057179136220581689401070563525824311685543  ( 145 digits)
SNFS difficulty: 179 digits.
Divisors found:

Sun May  1 01:47:49 2022  p66 factor: 187551345079887601562352403408331618970829675616375526125607024941
Sun May  1 01:47:49 2022  p80 factor: 18821899913347136123842942167788419044716777428985333730323081619458821696565923
Sun May  1 01:47:49 2022  elapsed time 00:28:00 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.312).
Factorization parameters were as follows:
#
# N = 227x10^177-2 = 252(177)
#
n: 3530072645707275272848781610462015853961742023056546785333525886549372897042310304343544939605344949430057179136220581689401070563525824311685543
m: 100000000000000000000000000000000000
deg: 5
c5: 11350
c0: -1
skew: 0.15
# Murphy_E = 8.369e-11
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 23400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4987623 hash collisions in 31023640 relations (27436613 unique)
Msieve: matrix is 1067835 x 1068060 (363.2 MB)

Sieving start time : 2022/04/30 22:47:47
Sieving end time  : 2022/05/01 01:19:20

Total sieving time: 2hrs 31min 33secs.

Total relation processing time: 0hrs 18min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 40sec.

Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

112961988737380010496978415397211674834082039834599853352646145504748374270202247636398391077109873373547752457617483724181355036617035720246381<144>

2274367146417138657791071713528912971863777140328391766401<58>
49667437781684260296998274853876979715202385514127782972547731502961288075852392607981<86>

Number: 25222_179
N = 112961988737380010496978415397211674834082039834599853352646145504748374270202247636398391077109873373547752457617483724181355036617035720246381 (144 digits)
SNFS difficulty: 183 digits.
Divisors found:
r1=2274367146417138657791071713528912971863777140328391766401 (pp58)
r2=49667437781684260296998274853876979715202385514127782972547731502961288075852392607981 (pp86)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 7.71 hours.
Factorization parameters were as follows:
n: 112961988737380010496978415397211674834082039834599853352646145504748374270202247636398391077109873373547752457617483724181355036617035720246381
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 3
c3: 227
c0: -20
skew: 1.00
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 8
Number of threads per core: 1
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 29/26
Total raw relations: 0
Relations: 4668842 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 1.64 hours.
Total relation processing time: 0.30 hours.
Pruned matrix : 4238957 x 4239204
Matrix solve time: 5.55 hours.
time per square root: 0.23 hours.
Prototype def-par.txt line would be: snfs,183,3,0,0,0,0,0,0,0,0,10000000,10000000,29,26,58,52,2.8,2.8,100000
total time: 7.71 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz

GGNFS, NFS_factory, Msieve

12611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<182>

3157263795747647863932135488619023226761<40>

3994316575034481354104862733850984593265782870468934614818686026876100529083806014730710660419038737519452351691882391428270723789244685638351<142>

Run 294 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2045877158
Step 1 took 16584ms
Step 2 took 6708ms
********** Factor found in step 2: 3157263795747647863932135488619023226761
Found prime factor of 40 digits: 3157263795747647863932135488619023226761
Composite cofactor 3994316575034481354104862733850984593265782870468934614818686026876100529083806014730710660419038737519452351691882391428270723789244685638351 has 142 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

3994316575034481354104862733850984593265782870468934614818686026876100529083806014730710660419038737519452351691882391428270723789244685638351<142>

16253229732824407315708722741500011041872861<44>
245755252383328517771436566534157512771455083624592714091269892175197316456219413720720080409128091<99>

Number: 25222_180
N = 3994316575034481354104862733850984593265782870468934614818686026876100529083806014730710660419038737519452351691882391428270723789244685638351 (142 digits)
SNFS difficulty: 183 digits.
Divisors found:
r1=16253229732824407315708722741500011041872861 (pp44)
r2=245755252383328517771436566534157512771455083624592714091269892175197316456219413720720080409128091 (pp99)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 10.16 hours.
Factorization parameters were as follows:
n: 3994316575034481354104862733850984593265782870468934614818686026876100529083806014730710660419038737519452351691882391428270723789244685638351
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 3
c3: 227
c0: -2
skew: 1.00
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 8
Number of threads per core: 1
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 29/26
Total raw relations: 23133834
Relations: 5095686 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 2.65 hours.
Total relation processing time: 0.38 hours.
Pruned matrix : 4525222 x 4525470
Matrix solve time: 6.93 hours.
time per square root: 0.20 hours.
Prototype def-par.txt line would be: snfs,183,3,0,0,0,0,0,0,0,0,10000000,10000000,29,26,58,52,2.8,2.8,100000
total time: 10.16 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz

GGNFS, NFS_factory, Msieve

302524675765945376839592447547788864916746332791576713254466062866966389811910473614819942944703125898770470748054860522923478148706036287378422507637953437<156>

2342524997059780460726449516807842600811952921446633<52>
129144694782620946129912596300621748502223319293394111527941598607209251651227564712974347097839118320789<105>

Number: n
N=302524675765945376839592447547788864916746332791576713254466062866966389811910473614819942944703125898770470748054860522923478148706036287378422507637953437  ( 156 digits)
SNFS difficulty: 184 digits.
Divisors found:

Thu Mar 10 00:52:49 2022  p52 factor: 2342524997059780460726449516807842600811952921446633
Thu Mar 10 00:52:49 2022  p105 factor: 129144694782620946129912596300621748502223319293394111527941598607209251651227564712974347097839118320789
Thu Mar 10 00:52:49 2022  elapsed time 00:27:07 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 227x10^182-2 = 252(182)
#
n: 302524675765945376839592447547788864916746332791576713254466062866966389811910473614819942944703125898770470748054860522923478148706036287378422507637953437
m: 1000000000000000000000000000000000000
deg: 5
c5: 11350
c0: -1
skew: 0.15
# Murphy_E = 5.253e-11
type: snfs
lss: 1
rlim: 8200000
alim: 8200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8200000/8200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 16900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4124213 hash collisions in 36529118 relations (33801246 unique)
Msieve: matrix is 1042761 x 1042987 (352.7 MB)

Sieving start time : 2022/03/09 19:49:42
Sieving end time  : 2022/03/10 00:25:05

Total sieving time: 4hrs 35min 23secs.

Total relation processing time: 0hrs 16min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 9sec.

Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,8200000,8200000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116350] 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)

215501527816773759657606621711383599796214007611922407627183961898716854797651778244273495636471953704687131628421499534327533864486760712518058909059804996309<159>

631195019136148658127421428724911681563083098531417499895447<60>
341418295904344132364072512845486456552569432689287069668206073760832006426101283153524619698264947<99>

Number: n
N=215501527816773759657606621711383599796214007611922407627183961898716854797651778244273495636471953704687131628421499534327533864486760712518058909059804996309  ( 159 digits)
SNFS difficulty: 187 digits.
Divisors found:

Wed Mar  9 10:06:08 2022  p60 factor: 631195019136148658127421428724911681563083098531417499895447
Wed Mar  9 10:06:08 2022  p99 factor: 341418295904344132364072512845486456552569432689287069668206073760832006426101283153524619698264947
Wed Mar  9 10:06:08 2022  elapsed time 00:29:50 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.321).
Factorization parameters were as follows:
#
# N = 227x10^185-2 = 252(185)
#
n: 215501527816773759657606621711383599796214007611922407627183961898716854797651778244273495636471953704687131628421499534327533864486760712518058909059804996309
m: 10000000000000000000000000000000000000
deg: 5
c5: 227
c0: -2
skew: 0.39
# Murphy_E = 5.122e-11
type: snfs
lss: 1
rlim: 9300000
alim: 9300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9300000/9300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4094316 hash collisions in 37237288 relations (34595923 unique)
Msieve: matrix is 1061103 x 1061329 (359.6 MB)

Sieving start time : 2022/03/09 04:59:53
Sieving end time  : 2022/03/09 09:35:40

Total sieving time: 4hrs 35min 47secs.

Total relation processing time: 0hrs 19min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 3sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9300000,9300000,28,28,54,54,2.5,2.5,100000
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)

19036435351502411664776189300459975626318430387370326444005449150268035525577614507219563914009855372233844511100480897255796372333018469015400509743744925049864139392863839153895357<182>

12789129317788093230204603304072941262049<41>
35138288910642943311606226304924012189041016044693<50>
42360788963568885223365637301808941615909670787779802846772450554864616196331639346981164201<92>

Number: n
N=19036435351502411664776189300459975626318430387370326444005449150268035525577614507219563914009855372233844511100480897255796372333018469015400509743744925049864139392863839153895357  ( 182 digits)
SNFS difficulty: 189 digits.
Divisors found:

Mon Feb 21 16:35:38 2022  found factor: 12789129317788093230204603304072941262049
Mon Feb 21 16:41:20 2022  p41 factor: 12789129317788093230204603304072941262049
Mon Feb 21 16:41:20 2022  p50 factor: 35138288910642943311606226304924012189041016044693
Mon Feb 21 16:41:20 2022  p92 factor: 42360788963568885223365637301808941615909670787779802846772450554864616196331639346981164201
Mon Feb 21 16:41:20 2022  elapsed time 00:44:12 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.275).
Factorization parameters were as follows:
#
# N = 227x10^187-2 = 252(187)
#
n: 19036435351502411664776189300459975626318430387370326444005449150268035525577614507219563914009855372233844511100480897255796372333018469015400509743744925049864139392863839153895357
m: 10000000000000000000000000000000000000
deg: 5
c5: 11350
c0: -1
skew: 0.15
# Murphy_E = 3.282e-11
type: snfs
lss: 1
rlim: 9900000
alim: 9900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9900000/9900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 24950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5554883 hash collisions in 40980971 relations (36808994 unique)
Msieve: matrix is 1232489 x 1232717 (414.9 MB)

Sieving start time : 2022/02/21 08:25:53
Sieving end time  : 2022/02/21 15:56:25
Total sieving time: 7hrs 30min 32secs.

Total relation processing time: 0hrs 26min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 10sec.

Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,9900000,9900000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118211] 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)

4470722116467290697959089785257166808534827015817351962622340322217238026218200808993141143700294658270995992876899489191189123074616247699<139>

2825299725923887380575423657294221106614521793<46>
1582388613655969483604469637060977723388567424845314977533390452354952747033758115905303964243<94>

GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is 4470722116467290697959089785257166808534827015817351962622340322217238026218200808993141143700294658270995992876899489191189123074616247699 (139 digits)
Using B1=48380000, B2=240496185946, polynomial Dickson(12), sigma=1:1466781686
Step 1 took 80668ms
Step 2 took 24378ms
********** Factor found in step 2: 2825299725923887380575423657294221106614521793
Found prime factor of 46 digits: 2825299725923887380575423657294221106614521793
Prime cofactor 1582388613655969483604469637060977723388567424845314977533390452354952747033758115905303964243 has 94 digits

22809392651790688122523538220429058957315461402870358523262091408179669785971244546827379231093064936229864602110097385940225769231150168500563249<146>

285731947482613514211580289754127288363<39>
79827939622252480046126650424573755852374357705291388003616554467031419876907571278198582940535618588194323<107>

Run 443 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4115109632
Step 1 took 11341ms
Step 2 took 5233ms
********** Factor found in step 2: 285731947482613514211580289754127288363
Found prime factor of 39 digits: 285731947482613514211580289754127288363
Prime cofactor 79827939622252480046126650424573755852374357705291388003616554467031419876907571278198582940535618588194323 has 107 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

9176010848315736121985060887330575938747499706446045116914870605224784429813014732209907844233668942760650294657749648482622009539339<133>

2042768300564523083716869399906736087002176767183062111901<58>
4491948913530686406980212420420590719798671009253753164321088859954554295239<76>

9176010848315736121985060887330575938747499706446045116914870605224784429813014732209907844233668942760650294657749648482622009539339=2042768300564523083716869399906736087002176767183062111901*4491948913530686406980212420420590719798671009253753164321088859954554295239

cado polynomial
n: 9176010848315736121985060887330575938747499706446045116914870605224784429813014732209907844233668942760650294657749648482622009539339
skew: 78938.43
c0: -239732421670767539539290366045
c1: 30622737062721819248892029
c2: 217769453412727041587
c3: -976665077169687
c4: 32686651500
c5: -231300
Y0: -34613930847298149775844614
Y1: 50725600768413104929
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.483e-07
# f(x) = -231300*x^5+32686651500*x^4-976665077169687*x^3+217769453412727041587*x^2+30622737062721819248892029*x-239732421670767539539290366045
# g(x) = 50725600768413104929*x-34613930847298149775844614

cado parameters (extracts)
tasks.lim0 = 3341873
tasks.lim1 = 16407032
tasks.lpb0 = 27
tasks.lpb1 = 28
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 62
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2042768300564523083716869399906736087002176767183062111901 4491948913530686406980212420420590719798671009253753164321088859954554295239
Info:Square Root: Total cpu/real time for sqrt: 759.55/221.558
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 195.92/164.133
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 152.2s
Info:Square Root: Total cpu/real time for sqrt: 759.55/221.558
Info:Filtering - Singleton removal: Total cpu/real time for purge: 96.82/104.055
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17017217
Info:Lattice Sieving: Average J: 3783.47 for 533899 special-q, max bucket fill -bkmult 1.0,1s:1.171380
Info:Lattice Sieving: Total time: 184432s
Info:Generate Factor Base: Total cpu/real time for makefb: 15.17/4.03034
Info:Linear Algebra: Total cpu/real time for bwc: 23014.1/5910.63
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 14628.28, WCT time 3745.4, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (38144 iterations)
Info:Linear Algebra: Lingen CPU time 232.3, WCT time 58.91
Info:Linear Algebra: Mksol: CPU time 7946.32,  WCT time 2029.14, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (19200 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 247.3/62.693
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 74.43/87.3265
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 87.2s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6183.74
Info:Polynomial Selection (root optimized): Rootsieve time: 6181.29
Info:Filtering - Merging: Merged matrix has 1214382 rows and total weight 207177379 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 309.83/86.5008
Info:Filtering - Merging: Total cpu/real time for replay: 44.73/39.7759
Info:Quadratic Characters: Total cpu/real time for characters: 40.53/16.7589
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 53395.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 54184/37.980/47.773/53.030/0.989
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44251/37.250/42.575/48.370/0.997
Info:Polynomial Selection (size optimized): Total time: 11147.9
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 392067/71710.7
Info:root: Cleaning up computation data in /tmp/cado.4n850p2p
2042768300564523083716869399906736087002176767183062111901 4491948913530686406980212420420590719798671009253753164321088859954554295239

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)

121071887066313984923063062536330477783674561987757582615605160529219510324074324694640659015060709404937060850861805747472700906042736921352001403219798056286523767<165>

45841115935425876639108339568678518942997133<44>
2641119977028089633127393121688497949353381827705149469085262340614683703632548432637103095731009236700906740571558657299<121>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:309661897
Step 1 took 25907ms
Step 2 took 11937ms
********** Factor found in step 2: 45841115935425876639108339568678518942997133
Found prime factor of 44 digits: 45841115935425876639108339568678518942997133
Prime cofactor 2641119977028089633127393121688497949353381827705149469085262340614683703632548432637103095731009236700906740571558657299 has 121 digits
 

GMP-ECM

17454505515327173642832356041648193988579589585436722542870930555154501517925867497494224158003785415680716729483426923059316103363468313563777476352783343493389126051<167>

60866624729888027753485262575410691206937<41>

286766443724885737158589334586103794463627646353196654426811452996046391888148897504919558995519822196246462531892220310954523<126>

Run 360 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1221111556
Step 1 took 14086ms
Step 2 took 6221ms
********** Factor found in step 2: 60866624729888027753485262575410691206937
Found prime factor of 41 digits: 60866624729888027753485262575410691206937
Composite cofactor 286766443724885737158589334586103794463627646353196654426811452996046391888148897504919558995519822196246462531892220310954523 has 126 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

286766443724885737158589334586103794463627646353196654426811452996046391888148897504919558995519822196246462531892220310954523<126>

1893780970097051430429153652684893509<37>
151425348682318679369630031471627372963033656904554943917014733708471942492677873323284447<90>

286766443724885737158589334586103794463627646353196654426811452996046391888148897504919558995519822196246462531892220310954523=1893780970097051430429153652684893509*151425348682318679369630031471627372963033656904554943917014733708471942492677873323284447

cado polynomial
n: 286766443724885737158589334586103794463627646353196654426811452996046391888148897504919558995519822196246462531892220310954523
skew: 92412.847
c0: 159885134876557659867782463732
c1: -13126156185551193767850147
c2: -35335272675154760022
c3: 1620232127088083
c4: 5935609826
c5: 40320
Y0: -1700459213712094425942458
Y1: 5494240400303213
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.407e-07
# f(x) = 40320*x^5+5935609826*x^4+1620232127088083*x^3-35335272675154760022*x^2-13126156185551193767850147*x+159885134876557659867782463732
# g(x) = 5494240400303213*x-1700459213712094425942458

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

cado log (extracts)
Info:Square Root: Factors: 1893780970097051430429153652684893509 151425348682318679369630031471627372963033656904554943917014733708471942492677873323284447
Info:Square Root: Total cpu/real time for sqrt: 288.03/87.9708
Info:Filtering - Singleton removal: Total cpu/real time for purge: 117.52/134.625
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12063622
Info:Lattice Sieving: Average J: 3800.8 for 230449 special-q, max bucket fill -bkmult 1.0,1s:1.210320
Info:Lattice Sieving: Total time: 67888.6s
Info:Generate Factor Base: Total cpu/real time for makefb: 8.23/2.20313
Info:Linear Algebra: Total cpu/real time for bwc: 9810.66/2525.08
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6175.14, WCT time 1582.62, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25344 iterations)
Info:Linear Algebra: Lingen CPU time 144.53, WCT time 36.74
Info:Linear Algebra: Mksol: CPU time 3364.4,  WCT time 859.1, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12800 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 127.95/33.3542
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 51.41/57.897
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 57.50000000000001s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2597.3
Info:Polynomial Selection (root optimized): Rootsieve time: 2594.83
Info:Filtering - Merging: Merged matrix has 807459 rows and total weight 137686390 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 163.05/47.1824
Info:Filtering - Merging: Total cpu/real time for replay: 30.39/25.0842
Info:Quadratic Characters: Total cpu/real time for characters: 30.33/12.0721
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20173/37.540/44.709/49.240/0.862
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16025/36.620/40.083/45.490/0.985
Info:Polynomial Selection (size optimized): Total time: 1984.12
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 182.17/175.487
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 143.29999999999998s
Info:Square Root: Total cpu/real time for sqrt: 288.03/87.9708
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 141755/38331.9
Info:root: Cleaning up computation data in /tmp/cado.awwbiut7
1893780970097051430429153652684893509 151425348682318679369630031471627372963033656904554943917014733708471942492677873323284447

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)

1264776207355239890848129265194596219671109708628593165405786641810113164996330430617440307812347525481167494860012459941061703281715698566541376961755237355792389119743112378444997720968629<190>

91741317339560590672141591775741568969207653611341562813<56>
13786331437491191070776818565353834574347293853373003426835145017501848833880590497513010046235993499868292286087619183410872075916633<134>

Number: n
N=1264776207355239890848129265194596219671109708628593165405786641810113164996330430617440307812347525481167494860012459941061703281715698566541376961755237355792389119743112378444997720968629  ( 190 digits)
SNFS difficulty: 202 digits.
Divisors found:

Wed Feb 23 13:16:35 2022  p56 factor: 91741317339560590672141591775741568969207653611341562813
Wed Feb 23 13:16:35 2022  p134 factor: 13786331437491191070776818565353834574347293853373003426835145017501848833880590497513010046235993499868292286087619183410872075916633
Wed Feb 23 13:16:35 2022  elapsed time 01:26:49 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 227x10^200-2 = 252(200)
#
n: 1264776207355239890848129265194596219671109708628593165405786641810113164996330430617440307812347525481167494860012459941061703281715698566541376961755237355792389119743112378444997720968629
m: 10000000000000000000000000000000000000000
deg: 5
c5: 227
c0: -2
skew: 0.39
# Murphy_E = 1.222e-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 4857592 hash collisions in 33529452 relations (30405659 unique)
Msieve: matrix is 1956651 x 1956876 (679.4 MB)

Sieving start time : 2022/02/23 00:19:53
Sieving end time  : 2022/02/23 11:48:53

Total sieving time: 11hrs 29min 0secs.

Total relation processing time: 1hrs 15min 7sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 30sec.

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) ----------
[    0.117462] 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)

4124119742016762425930491241771942844145377684325336511781462247107443322907315701703241056805186443739639129487797444077994956901567182502944532348336109916991045298089774897079791<181>

68475447589366309319522502804673745291426923<44>
60227715001562185007886794725017603525282608646582200215212418119257348467466539861638434861494762714570825329444275476610609215328312717<137>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1811306082
Step 1 took 31047ms
Step 2 took 13218ms
********** Factor found in step 2: 68475447589366309319522502804673745291426923
Found prime factor of 44 digits: 68475447589366309319522502804673745291426923
Prime cofactor 60227715001562185007886794725017603525282608646582200215212418119257348467466539861638434861494762714570825329444275476610609215328312717 has 137 digits
 

GMP-ECM

7677099990594000096726779141106844310295926120916046186090819874803306975713614474017399225506254015788516006692529412159621854073673297671662512919<148>

729711108548466653089064816313373806164972446639193020443957408126971952851538451761765666464300523589892630189182526041622363641088266879732828320461864759225173082819<168>

49186752513384273179332572443338703470747<41>
14835521177168669244753773973095695229137257851531575107969250316692011345515054384633243267897196182794224641797138164131529977<128>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 729711108548466653089064816313373806164972446639193020443957408126971952851538451761765666464300523589892630189182526041622363641088266879732828320461864759225173082819 (168 digits)
Using B1=22230000, B2=96187561486, polynomial Dickson(12), sigma=1:2978496359
Step 1 took 47573ms
Step 2 took 18541ms
********** Factor found in step 2: 49186752513384273179332572443338703470747
Found prime factor of 41 digits: 49186752513384273179332572443338703470747
Prime cofactor 14835521177168669244753773973095695229137257851531575107969250316692011345515054384633243267897196182794224641797138164131529977 has 128 digits

314773274911413509774985919095946749125616695618874626470202660463719551266984618180988198941923609712311370728342926152886239357647308553992865712257457138349288455705395954411844194495050835051898347701<204>

5159378257840284646621549718702799775085708490481950917461664470192835796778588591817398465630838906210907134778601379906175090426276371456146893171051058314561702836696388047035165238509627<190>

1122668669881836253096429094066841541005102424911583948806000323777459574496595644583470481950534320310536433094256419816169727474290908221513997452145663<154>

101979308531440763210253419628537577233349855189840366038799089796004901491033108209279546940648930831870632387223412527085790586429854456301364768629540454138661432548488049561919655167<186>

314718064705423206556530998345863166778457657952871311053476099819149245870339963744057972397065306438999805215868306540353526810454879217137981525861120331479040003502876057465927700142536485029473103705813<207>

42388254064371357574837812979413116754584389<44>
7424652693349630139612245279886095535275091283187610099026308234154555442924183757805406247985024939994189624616427320280372643670117764126349145746838915244340817<163>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3973585361
Step 1 took 36422ms
Step 2 took 14765ms
********** Factor found in step 2: 42388254064371357574837812979413116754584389
Found prime factor of 44 digits: 42388254064371357574837812979413116754584389
Prime cofactor 7424652693349630139612245279886095535275091283187610099026308234154555442924183757805406247985024939994189624616427320280372643670117764126349145746838915244340817 has 163 digits

GMP-ECM

495175138155146803049579404369750212342758167249066120944726649631204669851776204210372436147418623011894422910620222884445053209443065294329557773064037356511892039882367081<174>

6005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291<223>

612883072169546677120777924113735978612270729082462742379055490487352739317340055067679030705171923151482556051801849232924186633965169882007858942935996107787502909169648734301958579904023050883334602298284521381519442433<222>

354148757150565598005374954238155212273309033226143<51>
1730580892336664985582407536537320171964729354496828106271974465060198138825188381074796945644887246393466168839861460573999711086178738653159674088621364518985006434024031<172>

GMP-ECM 7.0.6-dev [configured with GMP 6.3.0, --enable-asm-redc, --enable-assert] [ECM]
Tuned for x86_64/params.h
Running on sethtroisi-linux.sea.corp.google.com
Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Fri Nov 24 02:53:40 2023
Input number is 612883072169546677120777924113735978612270729082462742379055490487352739317340055067679030705171923151482556051801849232924186633965169882007858942935996107787502909169648734301958579904023050883334602298284521381519442433 (222 digits)
Using mpz_mod
Using lmax = 67108864 with NTT which takes about 21504MB of memory
Using B1=10000000000-10000000000, B2=13494038602573560, polynomial x^1
P = 198843645, l = 67108864, s_1 = 33177600, k = s_2 = 2, m_1 = 20
Probability of finding a factor of n digits (assuming one exists):
20       25      30      35      40      45      50      55      60      65
0.82    0.56    0.31    0.14    0.057   0.02    0.0066  0.002   0.00053 0.00014
Step 1 took 0ms
Computing F from factored S_1 took 201996ms
Computing h took 25213ms
Computing DCT-I of h took 61585ms
Multi-point evaluation 1 of 2:
Computing g_i took 81147ms
Computing g*h took 123025ms
Computing gcd of coefficients and N took 27244ms
Multi-point evaluation 2 of 2:
Computing g_i took 81496ms
Computing g*h took 122945ms
Computing gcd of coefficients and N took 27176ms
Step 2 took 754030ms
********** Factor found in step 2: 354148757150565598005374954238155212273309033226143
Found prime factor of 51 digits: 354148757150565598005374954238155212273309033226143
Prime cofactor 1730580892336664985582407536537320171964729354496828106271974465060198138825188381074796945644887246393466168839861460573999711086178738653159674088621364518985006434024031 has 172 digits
Peak memory usage: 21503MB

GMP-ECM 7.0.6, ecm-db 0.1

1080 Ti for PM1 stage1

455839187345298034060946149822465570007538974928494501423084982863345680179691226869346239820941782345740241824525421758740421313569462144756087710556915056161740720657520112762242661<183>

663999975014422200787583568148507735242396209011333243733709785592562801086565211198311736804450536688521567215096232156720453954823753561483750331190232429706060100093118641861930402433<186>

4961804587445307337427411246275524882673543534194042359500283921839141030728505214346023235462680839676892819950087654600292111781654251200085816582157422013936964935175706938956023991358034584809<196>

163731742992249498867531267290207616088788230686897207101798806438186694067816755524819761667219864586043662224924878620415032021273833216324260676037261155546845836427291608559137385065255977808725423<201>

1533917515712503331106772613110350297889046920904964509895856536715288081387324995328167668844935503671237260745483022697029274401914254822913874582386333247098511422820693573927089117659<187>

5964826647576473180688228214826260274103912745267450900563811291731072086235912043652287454820351786930991225595820255925197639898675188900141257244732102277798361204463679302413890768017381750524116485656373137783415179818610419<229>

331739888051812211672396672687551350191608212655090879237608445608552076944076499173877637881827594342442885131498592705544100956150843002167224042895189626546779314082148547413564642929711<189>

5105713000449842555105713000449842555105713000449842555105713000449842555105713000449842555105713000449842555105713000449842555105713000449842555105713000449842555105713000449842555105713000449842555105713000449842555105713000449842555105713<241>

136261269393814284805996417176589452568309755431806182079681042116556193386782104451008500834663235070014004676537773988770160141127340564065891483431389494945114348598742856381<177>

5335960385019107099183570492605929861759184353016424223705129153715516504432022258346273761253400608119290061400719396139450797028157989077394826624156764209226706490746157054851727271071201027711338271865957009583986803771058031165471243<238>

399934293968566479255053476479442427<36>

13342092602437579518457823718978667439465706472451745125007286093328247880084590923901556098518572686367943935895624385759854469530926115323815403843684073401441982637699465104379238211084959696555452209<203>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2117981476
Step 1 took 13891ms
Step 2 took 5422ms
********** Factor found in step 2: 399934293968566479255053476479442427
Found prime factor of 36 digits: 399934293968566479255053476479442427
Composite cofactor 13342092602437579518457823718978667439465706472451745125007286093328247880084590923901556098518572686367943935895624385759854469530926115323815403843684073401441982637699465104379238211084959696555452209 has 203 digits
 

GMP-ECM

2416903871853156733189254589851960385344691245410255523974267117522327004274327389489335398617878845554465701553316057875966599188700814086710230912705235648860550332808860270694879529143299746604763515815464350705325174080562973<229>

8132472028106802276139994692606696172882999532981564291841211801591797115508953219924896674757482295823799936365205856674277151916261975451486585524171810817477246670617534872559051993759649<190>

400419777402236270623086217543445269879<39>
20309866013279952238981689071745762305449732310432110231100060562882093985050449816678320433814055464290491115681795831175523237069206153235959145054631<152>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2448719189
Step 1 took 8562ms
Step 2 took 4344ms
********** Factor found in step 2: 400419777402236270623086217543445269879
Found prime factor of 39 digits: 400419777402236270623086217543445269879
Prime cofactor 20309866013279952238981689071745762305449732310432110231100060562882093985050449816678320433814055464290491115681795831175523237069206153235959145054631 has 152 digits
 

GMP-ECM

9996968431464757425854745924643487379523289753820716842822953119877505826776368107620325315698211476377293760131111900218722627683656756624067914429234774119712908215805856981834887171602660916825017975575571059521219231457370981<229>

264328465963343347539532825636367870700295768415659423833810754791681222198933370595495936095391136263070867975500128088683946994573697570972775332448356971517734460513752066885581871957893756258878874682689396585854351521926453806562798388411467430541<252>

3955104922497360490370310035370458246591071975419434992510606753459060526842682342412260493583904266016105661189406118074016506597141123495661395587948012484384797818550298250639913723689467805237852679549434331857122000415771937707713894293473<244>

19639404895062247236120360451108787908270224165631906729756200917304716004356524380267587919927866327717883432077328289038882913250072570864119699572671381830521834959686312623100672744052985062532420462682602313415445587<221>

156947800194863332636567910713469910815093316615476510367693201413870051238176121831419389015730950664355248702451744534835751145968712654794746415418066214741804651597327407360861398756268072609383482026538183662614781493080707310713875279093<243>

147841588943632873014961839196105140836481853314373175708880790980972604066803856376038320786634107531642072775971911594711221380293549505416759757572413840977143881352141300444730475704990248394443348756256939644829006879667361433427<234>

695923605104432170746304768868411047624444377341950857139666610657471062303688217096628117300437056108609995748055371576333249020801059532773934591777483092973385217076483401738946043896708918531739788301196255330012014960637179470001<234>

195659059557469245972277738577913666648463744052724854749820341028000344427635166476240115446532067466687606601248925922248458531235073088496395002435501927883649852718141034832649126739<186>

14545902195350248862261743947291170287512751404787995446016181391002654689736782694761364971691549925378459955883174072630827133536833321699772905935783029276026434712176157576056712698950587743619922092225592310957630507905011<227>

74085869642801389765818399541258285371599<41>
196338414673163151341788523094769764973651019966112647020301385784325752653388892427686316234886964089855981766457302639333507880140671040245198356591954297510381803318345313925846847389<186>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:439621454
Step 1 took 11625ms
Step 2 took 4437ms
********** Factor found in step 2: 74085869642801389765818399541258285371599
Found prime factor of 41 digits: 74085869642801389765818399541258285371599
Prime cofactor 196338414673163151341788523094769764973651019966112647020301385784325752653388892427686316234886964089855981766457302639333507880140671040245198356591954297510381803318345313925846847389 has 186 digits

GMP-ECM

43912888605847826646569766793871586980376523504703538185476048699997738432159698491059784260474639743222261093073392761310401171032627656062774786035201168143145063530818461564316347067212374424388026069848068689903574489904006540543489688971<242>

3744467758602262127286791194273622689917831828475450514777547005438087197113518928564135756848755993077940520458021323756729693319020835017368620115612472015012280391886475557623718470400329042910191257648702853812087693834887809<229>

40873192482084301732391336182453999555357<41>
91611825042625479829974732400860176686915523207698672342293531445531043977120324774323185896021374665690633368451918002251829727371521959036949019756038870619534264193295750402253075622837<188>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3768665386
Step 1 took 11688ms
Step 2 took 5234ms
********** Factor found in step 2: 40873192482084301732391336182453999555357
Found prime factor of 41 digits: 40873192482084301732391336182453999555357
Prime cofactor 91611825042625479829974732400860176686915523207698672342293531445531043977120324774323185896021374665690633368451918002251829727371521959036949019756038870619534264193295750402253075622837 has 188 digits

GMP-ECM

383570737241010364399936666581657546326792837555486717139680919589602383267787387487988790927867911215577576293588682782021852006691700415128200706885180432286028821760034981730744636914486591136495250737255007333404740694822853510388341<237>

34878046597231887519667209058728059118074032755440258433242775898614755309873979059870109462272673082142905598549228925406860792791767972715405199270004170995620874271703451566030189909428851717634888332877591016694923020276859533832001306398266157841447<254>

227937122363900168867875825719616436894461<42>
153016087224042898722466020811057738681061239606085245651600300737578334743274505911637565992365629351391507377803296500767768945776373849632296577570486496401098219542649339988911079320405843751271894868709431027<213>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1887547064
Step 1 took 15422ms
Step 2 took 5938ms
********** Factor found in step 2: 227937122363900168867875825719616436894461
Found prime factor of 42 digits: 227937122363900168867875825719616436894461
Prime cofactor 153016087224042898722466020811057738681061239606085245651600300737578334743274505911637565992365629351391507377803296500767768945776373849632296577570486496401098219542649339988911079320405843751271894868709431027 has 213 digits
 

GMP-ECM

5106699399365955566030107155422468053989491376055631205605005685181674448549197187800267556954333696512625298477656104896327349681256879784093389025442277705165936787215628491622503738100767311940049912513843047829237025959544884673474341082577979<247>

64762004864746853599113463493790647958922485042370213231683849144963781411281716873801180852436347958139227227228521537284746430042697519504903336318460309491730788307495798751270574029874955470788274785081169343969215850235223907<230>

74108575397858014573073990138203042363040363774597230906783041851674165040275973006863126529970643009985820107646149068850730924711379236961920135568566641919408338593712786105317074492078584591718348965691332458227301<218>

1304788672683133967662861698356816431<37>

56797377958120252913796093630267665647306692517084257262446659680318541823258854928722709546778279116005492573393683325842725046715950848959283930890317743976984346679768449578489771<182>

Run 428 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1941905397
Step 1 took 20613ms
Step 2 took 8100ms
********** Factor found in step 2: 1304788672683133967662861698356816431
Found prime factor of 37 digits: 1304788672683133967662861698356816431
Composite cofactor 56797377958120252913796093630267665647306692517084257262446659680318541823258854928722709546778279116005492573393683325842725046715950848959283930890317743976984346679768449578489771 has 182 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

157344543129637420786697908303250628600708448590729405651869011499864837289159652026905762019980614083858533979434266343418055413066528744703716743730678722353411915510106307735768225091716959<192>

28670406322978086466255051771354679044633014045540167999453022998563720521522030095898235980889639738702896669281942227122399690150152404159199169203979078093144173783266863034129128648558937944518743210337688389279607024665515572878258119<239>

1635691309743270520485511451942485742288498474926273681684893976695009045743341149736087907765237024167682304124435106596514148340031845407000025140683258999789213956365231747189370747422049733711973755049994455769664821816105344416381401998448632559016087837<259>

221319744652003365854076112035681656721220326262742728042551265598922720780533705836888050174804574177983856684331102215812334428212834872129543847916559297341204984417042525116719840929017220021601977050253953194754413959063335061577295316334065989436047846325865069171<270>

716338002179888764743377472047309737<36>

308959937876400621663933113314393935493303864294296762246306198089605572849902195742786644713548717943029542387646676210223164388296751066686913580877270037695518543056888388186704426807794637848611258776670839848681201778646807953083<234>

Run 3 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:726734001
Step 1 took 14152ms
Step 2 took 5893ms
********** Factor found in step 2: 716338002179888764743377472047309737
Found prime factor of 36 digits: 716338002179888764743377472047309737
Composite cofactor 308959937876400621663933113314393935493303864294296762246306198089605572849902195742786644713548717943029542387646676210223164388296751066686913580877270037695518543056888388186704426807794637848611258776670839848681201778646807953083 has 234 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

10802991826104249888864356831495008803271928942867280814658641360894871673064136073775979371775898194739920668235596861903569436995181430418038100591451829496367352854372985895748013596037<188>

612222551258130827913680396094505585789100928258844458253164543306249902233182893800693780304342033366398745132561015933429023448393414750841603731806606717402924967406565938526383016137323406158149760963503444898082475817209225303832297409624354267029361330513333775643899<273>

758542919195410719914421693056577563754683480786446436500266403797529000421753614137589875667061323257428759910646122290545994717265298774036046032725263707760287273867828626285582996885599469014651<198>

24144778540751550891722904671924319994666408709735007490140714955887668193059881039579492144842283578922962937603685873982937346515227354398421719867045331390547102025050049960477193493032691576710252319617185454453788603553432599689645929888433<245>

37699493615405405545545711270345054306561457108835428191124258529387932998115996183888496824321249255621536114479596471712400212884827661388480318108593697102799828572509383548363036689013793640723216037937412181164758763905832925558648820525067975557143917852731689351<269>

9393457235596056912481657321000774195982729092305604582098779832027405238603917757138645999685856162099226756475312349965275926570476274146542627918802471107157367825300696604343197174174565247288022182199780570944325969978525359705678884051<241>

210709951179923906273050305474912313<36>

44580036125465392334480801916268198075526567305180657307001497138742998406955603534303802818261060750189991234085583534892723151754002007107802518024011059202899964785642882106292659959256862643939692453227<206>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3349567801
Step 1 took 9968ms
********** Factor found in step 2: 210709951179923906273050305474912313
Found prime factor of 36 digits: 210709951179923906273050305474912313
Composite cofactor 44580036125465392334480801916268198075526567305180657307001497138742998406955603534303802818261060750189991234085583534892723151754002007107802518024011059202899964785642882106292659959256862643939692453227 has 206 digits
 

GMP-ECM

247861497213948909120419856884752321100957790776558080538045410681386291378302857759300662219848130637334747026608064830846251120360274677671491919674275711048465677879521944292002810329391944793782417066614309789991700956322933149698521708960596539585346226635907<264>

26429021004952948053497539667897564402775082700376437796344946426704771343826347235795842936899139043741085464441861767149714100523282647735400647091161037774960246825825314762713012381924586867089398480318962701082441211778222244529611069475627571316383<254>

42598288148516686150362172690043711<35>

620424485434944227574497378242120964786394465544082050692156886815036466249376291481820219219456054992550667046244013799188425556626458639557586740249901026578723369344136746742650377406020021936267386509587016083182753<219>

Run 40 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3063544070
Step 1 took 26348ms
Step 2 took 9933ms
********** Factor found in step 2: 42598288148516686150362172690043711
Found prime factor of 35 digits: 42598288148516686150362172690043711
Composite cofactor 620424485434944227574497378242120964786394465544082050692156886815036466249376291481820219219456054992550667046244013799188425556626458639557586740249901026578723369344136746742650377406020021936267386509587016083182753 has 219 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

620424485434944227574497378242120964786394465544082050692156886815036466249376291481820219219456054992550667046244013799188425556626458639557586740249901026578723369344136746742650377406020021936267386509587016083182753<219>

146541582196412566731787369495596050350079<42>
4233777717804200305744791614654454793062901017127450379500501147151464228280791067658314088936893833753130148352011764712997267845199074410759027178828302553760464572668096211807<178>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4023238646
Step 1 took 11671ms
Step 2 took 5188ms
********** Factor found in step 2: 146541582196412566731787369495596050350079
Found prime factor of 42 digits: 146541582196412566731787369495596050350079
Prime cofactor 4233777717804200305744791614654454793062901017127450379500501147151464228280791067658314088936893833753130148352011764712997267845199074410759027178828302553760464572668096211807 has 178 digits
 

GMP-ECM

6598880167527294636799868904332312728630703469858181933354876613817445485405902667114853949590067763760922662975003524824901349841828532646649077675435618341762405949699744147371217361236317527120925989093444652593925054097<223>

31069687037227405696359356377348157936672854491949090459791155612702374241125334573764563239138839816299658760086988998306200330787263532107013740344877245063236677049532597883407808916628512083872902318598093074738862738426686729103908897<239>

231992317379285044847794649398222920643<39>

133925499724335554298340990793512547457212626691159982060856805255463380328951575015540775953068531144157446399127648048316383418507548538696861086559803547914274067290914019896953988249347070969096779<201>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:920957389
Step 1 took 13969ms
Step 2 took 5515ms
********** Factor found in step 2: 231992317379285044847794649398222920643
Found prime factor of 39 digits: 231992317379285044847794649398222920643
Composite cofactor 133925499724335554298340990793512547457212626691159982060856805255463380328951575015540775953068531144157446399127648048316383418507548538696861086559803547914274067290914019896953988249347070969096779 has 201 digits

GMP-ECM

8549576903833253686176447199543687954215539196099219671120651739246761666198723084275275170494227580194349030001919201820751555100403606162303329716595391722803933327633955789772120760374861055846122110461082408491870693030642631370602507159365818966846817<256>

710460418562496810315556627323158387306622488316999037983257879812161316346664314405674030688621279523937726533850478388180708665483334131462455139946621548546665212559103077263055504481736582458955530738385668173322388658032251382710685318335288973053009712698972264371891<273>

760864885170351087775747525617680577683346623<45>

933753722125618726689962025529302011945350010824058263108854823146946103674077699597734921601498853335296540674822839963374633667318530947545654400264278416668460435786885425320485680804852367413802528741607372597752688635279117<228>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3598393909
Step 1 took 11610ms
********** Factor found in step 2: 760864885170351087775747525617680577683346623
Found prime factor of 45 digits: 760864885170351087775747525617680577683346623
Composite cofactor 933753722125618726689962025529302011945350010824058263108854823146946103674077699597734921601498853335296540674822839963374633667318530947545654400264278416668460435786885425320485680804852367413802528741607372597752688635279117 has 228 digits

GMP-ECM

82260006581741483985726205727477973261522186285940899632606473901201495571780747105795583988540482182113862024309510598559191684696835151960357614492634794059291251471508615765470710145658152616597966848961090724680549665084666642092293479464121024402231163597<260>

797988012096890940705721662170572549<36>