57382067380675432813932087137355619458933771524799307680083423847570082150658194677901984048504274751332116408746591264695233303<128>

1203829898530831982368976018578666612940790262374639019<55>
47666258705407778643846255032921079760125039476078784971539438996875578437<74>

Number: trial
N=57382067380675432813932087137355619458933771524799307680083423847570082150658194677901984048504274751332116408746591264695233303
  ( 128 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=1203829898530831982368976018578666612940790262374639019 (pp55)
 r2=47666258705407778643846255032921079760125039476078784971539438996875578437 (pp74)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 54.26 hours.
Scaled time: 27.83 units (timescale=0.513).
Factorization parameters were as follows:
n: 57382067380675432813932087137355619458933771524799307680083423847570082150658194677901984048504274751332116408746591264695233303
m: 2000000000000000000000000000000
c5: 20
c0: 53
skew: 1.22
type: snfsFactor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2200001)
Primes: RFBsize:176302, AFBsize:175293, largePrimes:5554678 encountered
Relations: rels:5471328, finalFF:394558
Max relations in full relation-set: 0
Initial matrix: 351661 x 394558 with sparse part having weight 26795082.
Pruned matrix : 329629 x 331451 with weight 20952925.
Total sieving time: 45.59 hours.
Total relation processing time: 0.51 hours.
Matrix solve time: 7.79 hours.
Time per square root: 0.37 hours.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 54.26 hours.
 --------- CPU info (if available) ----------

GGNFS-0.77.1-20060722-pentium4

Pentium 4 3.20 GHz, 1 Gig RAM, Windows XP and Cygwin

383164922013861954685718096101603237579244787814536099238125074662505933186233933720729459506399443843513551211786375411<120>

49077828529847726066736868936370114562389265709103<50>
7807291673078649995782734630227484536649932164015296032914517722906237<70>

Number: n
N=383164922013861954685718096101603237579244787814536099238125074662505933186233933720729459506399443843513551211786375411
  ( 120 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=49077828529847726066736868936370114562389265709103 (pp50)
 r2=7807291673078649995782734630227484536649932164015296032914517722906237 (pp70)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 30.78 hours.
Scaled time: 44.47 units (timescale=1.445).
Factorization parameters were as follows:
name: KA_7_1_155_7
n: 383164922013861954685718096101603237579244787814536099238125074662505933186233933720729459506399443843513551211786375411
skew: 1.22
deg: 5
c5: 20
c0: 53
m: 20000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1400001)
Primes: RFBsize:216816, AFBsize:215751, largePrimes:7121172 encountered
Relations: rels:6653609, finalFF:535901
Max relations in full relation-set: 28
Initial matrix: 432633 x 535901 with sparse part having weight 37968592.
Pruned matrix : 347961 x 350188 with weight 22254553.
Total sieving time: 27.34 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 3.18 hours.
Total square root time: 0.06 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 30.78 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

188514703189773269056083345014625106760612761414432617373683190484568696824418797686302626998621689259459609264199987578100566480410173<135>

2272678914182122391159400004256881975433059<43>
82948234356112188698160244749473598135682577177508948629769483777144299322248884566566919647<92>

Number: n
N=188514703189773269056083345014625106760612761414432617373683190484568696824418797686302626998621689259459609264199987578100566480410173
  ( 135 digits)
SNFS difficulty: 161 digits.
Divisors found:

Tue Oct 23 03:14:29 2007  prp43 factor: 2272678914182122391159400004256881975433059
Tue Oct 23 03:14:29 2007  prp92 factor: 82948234356112188698160244749473598135682577177508948629769483777144299322248884566566919647
Tue Oct 23 03:14:29 2007  elapsed time 01:10:32 (Msieve 1.28)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 38.03 hours.
Scaled time: 49.78 units (timescale=1.309).
Factorization parameters were as follows:
name: KA_7_1_159_7
n: 188514703189773269056083345014625106760612761414432617373683190484568696824418797686302626998621689259459609264199987578100566480410173
skew: 1.93
deg: 5
c5: 2
c0: 53
m: 200000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 1700000)
Primes: RFBsize:216816, AFBsize:216946, largePrimes:7083358 encountered
Relations: rels:6573818, finalFF:499435
Max relations in full relation-set: 28
Initial matrix: 433827 x 499435 with sparse part having weight 36087703.
Pruned matrix : 381360 x 383593 with weight 23854377.
Total sieving time: 37.83 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 38.03 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

320957224151492255429082127231488936975920891075446305694396741711567954921815157690547768799927437761891217541762696415656265015932173323<138>

189017252553419561480806004528870537398168187166973127563<57>
1698031369177711247850014025611530461767387472590376241897452371528925800729051521<82>

Number: n
N=320957224151492255429082127231488936975920891075446305694396741711567954921815157690547768799927437761891217541762696415656265015932173323
  ( 138 digits)
SNFS difficulty: 167 digits.
Divisors found:

Tue May 06 11:05:04 2008  prp57 factor: 189017252553419561480806004528870537398168187166973127563
Tue May 06 11:05:04 2008  prp82 factor: 1698031369177711247850014025611530461767387472590376241897452371528925800729051521
Tue May 06 11:05:04 2008  elapsed time 02:14:27 (Msieve 1.34)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 95.69 hours.
Scaled time: 123.35 units (timescale=1.289).
Factorization parameters were as follows:
name: KA_7_1_165_7
n: 320957224151492255429082127231488936975920891075446305694396741711567954921815157690547768799927437761891217541762696415656265015932173323
skew: 0.61
deg: 5
c5: 640
c0: 53
m: 1000000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 4100293)
Primes: RFBsize:216816, AFBsize:215751, largePrimes:7744522 encountered
Relations: rels:7160434, finalFF:475852
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 95.27 hours.
Total relation processing time: 0.42 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 95.69 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

53237380205309160401938268502777912648314709782189098631100825123672071173417036027520915538137652984326635588082815651085876674764067883749576740330280312067467<161>

439231572111653323454876092277539599135182889732971<51>
66354886809665594141565452524880020064086534990625821<53>
1826628432327857002931189663671146473104422650646339516437<58>

Number: 71117_173
N=53237380205309160401938268502777912648314709782189098631100825123672071173417036027520915538137652984326635588082815651085876674764067883749576740330280312067467
  ( 161 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=439231572111653323454876092277539599135182889732971 (pp51)
 r2=66354886809665594141565452524880020064086534990625821 (pp53)
 r3=1826628432327857002931189663671146473104422650646339516437 (pp58)
Version: Msieve-1.40
Total time: 61.30 hours.
Scaled time: 106.61 units (timescale=1.739).
Factorization parameters were as follows:
n: 53237380205309160401938268502777912648314709782189098631100825123672071173417036027520915538137652984326635588082815651085876674764067883749576740330280312067467
m: 40000000000000000000000000000000000
deg: 5
c5: 125
c0: 106
skew: 0.97
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [2900000, 5900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1057736 x 1057961
Total sieving time: 59.41 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.46 hours.
Time per square root: 0.28 hours.
Prototype def-par.txt line would be:
snfs,175.000,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,52,52,2.5,2.5,100000
total time: 61.30 hours.

GGNFS, Msieve

2704872997760027048729977600270487299776002704872997760027048729977600270487299776002704872997760027048729977600270487299776002704872997760027048729977600270487299776002704873<175>

2746163758092184047690455322356302856116462038401676834020608038326185212384119<79>
984964203168698675125288342788491918288490272600571711870157920520614551405691698408931673803167<96>

Number: n
N=2704872997760027048729977600270487299776002704872997760027048729977600270487299776002704872997760027048729977600270487299776002704872997760027048729977600270487299776002704873
  ( 175 digits)
SNFS difficulty: 178 digits.
Divisors found:

Tue Sep 09 18:31:04 2008  prp79 factor: 2746163758092184047690455322356302856116462038401676834020608038326185212384119
Tue Sep 09 18:31:04 2008  prp96 factor: 984964203168698675125288342788491918288490272600571711870157920520614551405691698408931673803167
Tue Sep 09 18:31:05 2008  elapsed time 04:42:39 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 24.10 hours.
Scaled time: 49.11 units (timescale=2.038).
Factorization parameters were as follows:
name: KA_7_1_176_7
n: 2704872997760027048729977600270487299776002704872997760027048729977600270487299776002704872997760027048729977600270487299776002704872997760027048729977600270487299776002704873
type: snfs
skew: 0.77
deg: 5
c5: 200
c0: 53
m: 200000000000000000000000000000000000
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 6100001)
Primes: RFBsize:539777, AFBsize:539400, largePrimes:13853455 encountered
Relations: rels:13478199, finalFF:1170101
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 23.78 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,52,52,2.5,2.5,100000
total time: 24.10 hours.
 --------- CPU info (if available) ----------

5791034738323929813406604956878415208227115470924973837771128422455008320705718345503886724037362054519354263032730236718632902456299630098791584792283590453552746353789<169>

146974737088339433561279242176821604545787659776164373478234158626207361<72>
39401565555060104178618017989675846091548586581454206895140220312845793915768794040811392953137149<98>

N=5791034738323929813406604956878415208227115470924973837771128422455008320705718345503886724037362054519354263032730236718632902456299630098791584792283590453552746353789
  ( 169 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=146974737088339433561279242176821604545787659776164373478234158626207361 (pp72)
 r2=39401565555060104178618017989675846091548586581454206895140220312845793915768794040811392953137149 (pp98)
Version: Msieve v. 1.47
Total time:
Scaled time: 26.01 units (timescale=1.843).
Factorization parameters were as follows:
n: 5791034738323929813406604956878415208227115470924973837771128422455008320705718345503886724037362054519354263032730236718632902456299630098791584792283590453552746353789
m: 400000000000000000000000000000000000
deg: 5
c5: 625
c0: 53
skew: 0.61
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3600000, 8080001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1393944 x 1394176
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,180.000,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,53,53,2.5,2.5,100000
total time:

119530007905085426418760470345448597797423346700063074593310791617557456447848386674113870080535814971606409307558647698729811952647017450491839799568059<153>

42296939944253623466989536133456289333598831169780076180464680061591<68>
2825972944204076659882750346115195633328196521185379699053145209532059806564496801149<85>

N=119530007905085426418760470345448597797423346700063074593310791617557456447848386674113870080535814971606409307558647698729811952647017450491839799568059
  ( 153 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=42296939944253623466989536133456289333598831169780076180464680061591 (pp68)
 r2=2825972944204076659882750346115195633328196521185379699053145209532059806564496801149 (pp85)
Version: Msieve-1.40
Total time: 140.86 hours.
Scaled time: 269.18 units (timescale=1.911).
Factorization parameters were as follows:
n: 119530007905085426418760470345448597797423346700063074593310791617557456447848386674113870080535814971606409307558647698729811952647017450491839799568059
m: 2000000000000000000000000000000000000
deg: 5
c5: 200
c0: 53
skew: 0.77
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 200000Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4050000, 6250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1297681 x 1297912
Total sieving time: 138.64 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 1.89 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,8100000,8100000,28,28,53,53,2.5,2.5,100000
total time: 140.86 hours.
 --------- CPU info (if available) ----------

11310531568099952768527423881587168584125646675718590355682460008964503787160561749423649074649087840618231666043988597952636433980894093569425924974084311684936733<164>

6408857844198902795079491084505047743261<40>
1764827968268619245848314702240512687857444858790408730674667676478953242420913659802142902523798197322058590130173904669953<124>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1091727664
Step 1 took 115976ms
Step 2 took 35178ms
********** Factor found in step 2: 6408857844198902795079491084505047743261
Found probable prime factor of 40 digits: 6408857844198902795079491084505047743261
Probable prime cofactor 1764827968268619245848314702240512687857444858790408730674667676478953242420913659802142902523798197322058590130173904669953 has 124 digits

GMP-ECM 6.2.1

Turion 64 X2 Mobile 1.8GHz, Gentoo Linux

1713438700845580994207656410870044151331615445801711629702200675561139716902261140319186974567488312380772364127418787313026215482881770726906287567967477793515063419<166>

1873538798734469718445677944980689815106320731<46>
189394534526467474801444331999615242589754468279553298323<57>
4828791332432692548190911468799626058608726432780074273001631163<64>

Number: 717
N=1713438700845580994207656410870044151331615445801711629702200675561139716902261140319186974567488312380772364127418787313026215482881770726906287567967477793515063419
  ( 166 digits)
SNFS difficulty: 188 digits.
Divisors found:
 r1=1873538798734469718445677944980689815106320731 (pp46)
 r2=189394534526467474801444331999615242589754468279553298323 (pp57)
 r3=4828791332432692548190911468799626058608726432780074273001631163 (pp64)
Version: Msieve-1.40
Total time: 226.74 hours.
Scaled time: 421.96 units (timescale=1.861).
Factorization parameters were as follows:
n: 1713438700845580994207656410870044151331615445801711629702200675561139716902261140319186974567488312380772364127418787313026215482881770726906287567967477793515063419
m: 20000000000000000000000000000000000000
deg: 5
c5: 200
c0: 53
skew: 0.77
type: snfs
lss: 1
rlim: 9800000
alim: 9800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 300000Factor base limits: 9800000/9800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4900000, 8200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1404840 x 1405065
Total sieving time: 223.39 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 2.21 hours.
Time per square root: 0.91 hours.
Prototype def-par.txt line would be:
snfs,188.000,5,0,0,0,0,0,0,0,0,9800000,9800000,28,28,54,54,2.5,2.5,100000
total time: 226.74 hours.
 --------- CPU info (if available) ----------

25901714110909876804715850135941684628603027036115173478515066221887569421918358560115735689479971793794180867040299746142797364941540882256297205760664296004248337<164>

55735199523946987844674740233939247433<38>

464728113151923647963045458501825684838442675997986008702221322885107790756178191689854775944642973610888379261439868289399689<126>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2402679890
Step 1 took 85470ms
Step 2 took 39851ms
********** Factor found in step 2: 55735199523946987844674740233939247433
Found probable prime factor of 38 digits: 55735199523946987844674740233939247433
Composite cofactor 464728113151923647963045458501825684838442675997986008702221322885107790756178191689854775944642973610888379261439868289399689 has 126 digits

464728113151923647963045458501825684838442675997986008702221322885107790756178191689854775944642973610888379261439868289399689<126>

166728075692544407904326411506937329008598389078741594007<57>
2787341671290607539204396406254935337428987754632044745157851176194527<70>

Number: g126-3
N=464728113151923647963045458501825684838442675997986008702221322885107790756178191689854775944642973610888379261439868289399689
  ( 126 digits)
Divisors found:
 r1=166728075692544407904326411506937329008598389078741594007 (pp57)
 r2=2787341671290607539204396406254935337428987754632044745157851176194527 (pp70)
Version: Msieve-1.40
Total time: 76.57 hours.
Scaled time: 136.15 units (timescale=1.778).
Factorization parameters were as follows:
name: g126
n: 464728113151923647963045458501825684838442675997986008702221322885107790756178191689854775944642973610888379261439868289399689
skew: 88374.20
# norm 1.82e+017
c5: 134640
c4: -25220463342
c3: 156068511001173
c2: 474070058704003579954
c1: -10090957296513985975370424
c0: -94077319965886557739909628928
# alpha -6.22
Y1: 62560840758563
Y0: -1281167056931475382809673
# Murphy_E 1.35e-010
# M 441592681732842019555433421355307693712551135331096118027016763259951477160266663377476237580649576263829389332493658548950682
type: gnfs
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 300000
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved algebraic special-q in [2900000, 6500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1043368 x 1043593
Total sieving time: 74.89 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 1.26 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
gnfs,125,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5800000,5800000,28,28,55,55,2.5,2.5,100000
total time: 76.57 hours.
 --------- CPU info (if available) ----------

662778810442043101561071402367069781834227662640943986624576683022003380908854085745851956661362736034006609162291879091592918912912932119779901958933846114762992995597245612769<177>

155458578002656748034550932164537161602931<42>

4263378830280541857479086941034216447988549165477823408476630739449177823123890019205033803071557608682968839009771264516944935070244699<136>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1117146843
Step 1 took 252866ms
Step 2 took 142208ms
********** Factor found in step 2: 155458578002656748034550932164537161602931
Found probable prime factor of 42 digits: 155458578002656748034550932164537161602931
Composite cofactor 4263378830280541857479086941034216447988549165477823408476630739449177823123890019205033803071557608682968839009771264516944935070244699 has 136 digits

4263378830280541857479086941034216447988549165477823408476630739449177823123890019205033803071557608682968839009771264516944935070244699<136>

172012860425626698443491173473060911789891<42>
24785233032758626021295588213996919399182704179559226558459676874857927619955247622022096468489<95>

N=4263378830280541857479086941034216447988549165477823408476630739449177823123890019205033803071557608682968839009771264516944935070244699
  ( 136 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=172012860425626698443491173473060911789891 (pp42)
 r2=24785233032758626021295588213996919399182704179559226558459676874857927619955247622022096468489 (pp95)
Version: Msieve-1.40
Total time: 287.09 hours.
Scaled time: 560.41 units (timescale=1.952).
Factorization parameters were as follows:
n: 4263378830280541857479086941034216447988549165477823408476630739449177823123890019205033803071557608682968839009771264516944935070244699
m: 40000000000000000000000000000000000000
deg: 5
c5: 625
c0: 53
skew: 0.61
type: snfs
lss: 1
rlim: 10600000
alim: 10600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 300000Factor base limits: 10600000/10600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5300000, 9500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1689713 x 1689938
Total sieving time: 282.49 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 4.16 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,190.000,5,0,0,0,0,0,0,0,0,10600000,10600000,28,28,54,54,2.5,2.5,100000
total time: 287.09 hours.
 --------- CPU info (if available) ----------

22974359218765960755171204686538306662789194146280548162127765163047532548016000616661254950358900063176191795791276527540459533882933923462473934469572406930734560660373068929<176>

1215130975899590906278442010355229<34>

18906899481973526282026704495069056756649983846456749409752956664140620093099092451844621769773689315721058796527997944133334364541384120005301<143>

Input number is 22974359218765960755171204686538306662789194146280548162127765163047532548016000616661254950358900063176191795791276527540459533882933923462473934469572406930734560660373068929 (176 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1184252696
Step 1 took 88234ms
Step 2 took 34040ms
********** Factor found in step 2: 1215130975899590906278442010355229
Found probable prime factor of 34 digits: 1215130975899590906278442010355229
Composite cofactor 18906899481973526282026704495069056756649983846456749409752956664140620093099092451844621769773689315721058796527997944133334364541384120005301 has 143 digits

GMP-ECM 6.1.2

Sempron 3400+ 1.80GHz, Windows Vista

18906899481973526282026704495069056756649983846456749409752956664140620093099092451844621769773689315721058796527997944133334364541384120005301<143>

5400673797208837420682150131690484688732336061073893<52>
3500840856514041317747379375966189527417529520879497008744730188121849336240209372406003857<91>

N=18906899481973526282026704495069056756649983846456749409752956664140620093099092451844621769773689315721058796527997944133334364541384120005301
  ( 143 digits)
SNFS difficulty: 192 digits.
Divisors found:
 r1=5400673797208837420682150131690484688732336061073893 (pp52)
 r2=3500840856514041317747379375966189527417529520879497008744730188121849336240209372406003857 (pp91)
Version: Msieve-1.40
Total time: 358.32 hours.
Scaled time: 644.26 units (timescale=1.798).
Factorization parameters were as follows:
n: 18906899481973526282026704495069056756649983846456749409752956664140620093099092451844621769773689315721058796527997944133334364541384120005301
m: 200000000000000000000000000000000000000
deg: 5
c5: 20
c0: 53
skew: 1.22
type: snfs
lss: 1
rlim: 11400000
alim: 11400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 360000Factor base limits: 11400000/11400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5700000, 11100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1973238 x 1973463
Total sieving time: 352.44 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 5.14 hours.
Time per square root: 0.48 hours.
Prototype def-par.txt line would be:
snfs,192.000,5,0,0,0,0,0,0,0,0,11400000,11400000,28,28,55,55,2.5,2.5,100000
total time: 358.32 hours.
 --------- CPU info (if available) ----------

29599818153792813772947416319235260462701575200637016509240048897366106534078001315224153863304853025840164950437252239201483329133825148266598437507671449567<158>

12202158801716445697948649688471672047350014924079402363685893<62>
2425785357721216095920666816914701803827850158423812134284002796199262243824112915438249365923219<97>

29599818153792813772947416319235260462701575200637016509240048897366106534078001315224153863304853025840164950437252239201483329133825148266598437507671449567=12202158801716445697948649688471672047350014924079402363685893*2425785357721216095920666816914701803827850158423812134284002796199262243824112915438249365923219

cado polynomial
n: 29599818153792813772947416319235260462701575200637016509240048897366106534078001315224153863304853025840164950437252239201483329133825148266598437507671449567
skew: 0.96
type: snfs
c0: 53
c5: 64
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 64*x^5+53
# g(x) = -x+1000000000000000000000000000000000000000

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

cado log (extracts)
Info:Square Root: Factors: 2425785357721216095920666816914701803827850158423812134284002796199262243824112915438249365923219 12202158801716445697948649688471672047350014924079402363685893
Info:Square Root: Total cpu/real time for sqrt: 642.33/203.768
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28161499
Info:Lattice Sieving: Average J: 1893.98 for 2762857 special-q, max bucket fill -bkmult 1.0,1s:1.124670
Info:Lattice Sieving: Total time: 658326s
Info:Square Root: Total cpu/real time for sqrt: 642.33/203.768
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 119.9/140.28
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 139.29999999999998s
Info:Filtering - Merging: Merged matrix has 2399569 rows and total weight 410929979 (171.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 672.53/185.71
Info:Filtering - Merging: Total cpu/real time for replay: 93.54/80.9196
Info:Linear Algebra: Total cpu/real time for bwc: 100383/25681.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 64298.17, WCT time 16400.47, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (75264 iterations)
Info:Linear Algebra: Lingen CPU time 514.49, WCT time 130.39
Info:Linear Algebra: Mksol: CPU time 34720.62,  WCT time 8865.15, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (37888 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.78/2.67997
Info:Quadratic Characters: Total cpu/real time for characters: 82.84/35.9648
Info:Filtering - Singleton removal: Total cpu/real time for purge: 413.54/467.922
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 519.66/511.829
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 410.9s
Info:Generate Free Relations: Total cpu/real time for freerel: 119.42/33.1076
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.37349e+06/121490
Info:root: Cleaning up computation data in /tmp/cado.4sgt10c4
2425785357721216095920666816914701803827850158423812134284002796199262243824112915438249365923219 12202158801716445697948649688471672047350014924079402363685893

cado-nfs-3.0.0

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

662921833968803687694854350420856291420963295905122148710198829148610643275829631608166208050841098224668538764041837385589103435828957632356481696318022079528405296369598402687411<180>

681111105455762610679714619601323124660810774868571<51>
6225958343867861457875933497932794181096851891346007<52>
156328496508260403694169124192147823539399427781729081961197100796968846936863<78>

Number: n
N=662921833968803687694854350420856291420963295905122148710198829148610643275829631608166208050841098224668538764041837385589103435828957632356481696318022079528405296369598402687411  ( 180 digits)
SNFS difficulty: 198 digits.
Divisors found:

Sat Mar 13 18:10:36 2021  found factor: 156328496508260403694169124192147823539399427781729081961197100796968846936863
Sat Mar 13 18:12:39 2021  p51 factor: 681111105455762610679714619601323124660810774868571
Sat Mar 13 18:12:39 2021  p52 factor: 6225958343867861457875933497932794181096851891346007
Sat Mar 13 18:12:39 2021  p78 factor: 156328496508260403694169124192147823539399427781729081961197100796968846936863
Sat Mar 13 18:12:39 2021  elapsed time 00:58:11 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 64x10^197+53 = 71(196)7
#
n: 662921833968803687694854350420856291420963295905122148710198829148610643275829631608166208050841098224668538764041837385589103435828957632356481696318022079528405296369598402687411
m: 2000000000000000000000000000000000000000
deg: 5
c5: 200
c0: 53
skew: 0.77
# Murphy_E = 2.29e-11
type: snfs
lss: 1
rlim: 14400000
alim: 14400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14400000/14400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 20000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3887964 hash collisions in 30797600 relations (28639988 unique)
Msieve: matrix is 1541706 x 1541931 (541.0 MB)

Sieving start time : 2021/03/13 11:54:39
Sieving end time  : 2021/03/13 17:13:53

Total sieving time: 5hrs 19min 14secs.

Total relation processing time: 0hrs 45min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 6sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14400000,14400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116745] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.152613] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.17 BogoMIPS (lpj=12798352)
[    0.150217] smpboot: Total of 16 processors activated (102386.81 BogoMIPS)

11902545288058245926925168883164537509907892989804458096024644005745813348615996796338909907003214835206083275075560742990484852752773182681371964163363832943801353102771337123<176>

1053947316666084614295602974773924601<37>
11293301951476245566388760055470099805134724921150625162401162556882527928893529688436385162911773878376001344332111171233605201210655091323<140>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=984203742
Step 1 took 35694ms
Step 2 took 11809ms
********** Factor found in step 2: 1053947316666084614295602974773924601
Found probable prime factor of 37 digits: 1053947316666084614295602974773924601
Probable prime cofactor 11293301951476245566388760055470099805134724921150625162401162556882527928893529688436385162911773878376001344332111171233605201210655091323 has 140 digits

GMP-ECM 6.2.1

Turion 64 X2 Mobile 1.8GHz, Gentoo Linux

421770346394040881599223239317298450802946294340995839267974962730470930298837048241962065571728944449656378052921086055949471332412531<135>

24923908119877633821282674692609491077901564818468648131567<59>
16922319901254378449400730792729507471431563877370107450807669061708355650493<77>

Fri May 21 23:47:48 2010  Msieve v. 1.44
Fri May 21 23:47:48 2010  random seeds: a4e80558 507d5ba3
Fri May 21 23:47:48 2010  factoring 421770346394040881599223239317298450802946294340995839267974962730470930298837048241962065571728944449656378052921086055949471332412531 (135 digits)
Fri May 21 23:47:48 2010  searching for 15-digit factors
Fri May 21 23:47:49 2010  commencing number field sieve (135-digit input)
Fri May 21 23:47:49 2010  R0: -88607725630466487821451549
Fri May 21 23:47:49 2010  R1:  1149062854130369
Fri May 21 23:47:49 2010  A0: -4538820565643969854431820522556672
Fri May 21 23:47:49 2010  A1:  17264980110916028980866942606
Fri May 21 23:47:49 2010  A2:  65934022131965234670651
Fri May 21 23:47:49 2010  A3: -77993894973175184
Fri May 21 23:47:49 2010  A4: -160436753562
Fri May 21 23:47:49 2010  A5:  77220
Fri May 21 23:47:49 2010  skew 678963.50, size 5.321274e-13, alpha -7.168285, combined = 4.161365e-11
Fri May 21 23:47:49 2010
Fri May 21 23:47:49 2010  commencing linear algebra
Fri May 21 23:47:49 2010  read 2332300 cycles
Fri May 21 23:47:54 2010  cycles contain 8419987 unique relations
Fri May 21 23:49:56 2010  read 8419987 relations
Fri May 21 23:50:08 2010  using 20 quadratic characters above 4294909374
Fri May 21 23:50:53 2010  building initial matrix
Fri May 21 23:52:29 2010  memory use: 1063.5 MB
Fri May 21 23:52:30 2010  read 2332300 cycles
Fri May 21 23:52:31 2010  matrix is 2332121 x 2332300 (715.7 MB) with weight 224674329 (96.33/col)
Fri May 21 23:52:31 2010  sparse part has weight 159621523 (68.44/col)
Fri May 21 23:52:50 2010  filtering completed in 1 passes
Fri May 21 23:52:50 2010  matrix is 2332121 x 2332300 (715.7 MB) with weight 224674329 (96.33/col)
Fri May 21 23:52:50 2010  sparse part has weight 159621523 (68.44/col)
Fri May 21 23:52:54 2010  read 2332300 cycles
Fri May 21 23:52:56 2010  matrix is 2332121 x 2332300 (715.7 MB) with weight 224674329 (96.33/col)
Fri May 21 23:52:56 2010  sparse part has weight 159621523 (68.44/col)
Fri May 21 23:52:56 2010  saving the first 48 matrix rows for later
Fri May 21 23:52:57 2010  matrix is 2332073 x 2332300 (686.6 MB) with weight 178976379 (76.74/col)
Fri May 21 23:52:57 2010  sparse part has weight 156655333 (67.17/col)
Fri May 21 23:52:57 2010  matrix includes 64 packed rows
Fri May 21 23:52:57 2010  using block size 65536 for processor cache size 4096 kB
Fri May 21 23:53:06 2010  commencing Lanczos iteration (2 threads)
Fri May 21 23:53:06 2010  memory use: 685.6 MB
Fri May 21 23:53:16 2010  linear algebra at 0.0%, ETA 7h43m
Sat May 22 09:43:26 2010  lanczos halted after 36883 iterations (dim = 2332072)
Sat May 22 09:43:29 2010  recovered 28 nontrivial dependencies
Sat May 22 09:43:29 2010  BLanczosTime: 35740
Sat May 22 09:43:29 2010  elapsed time 09:55:41
Mon May 24 22:19:49 2010
Mon May 24 22:19:49 2010
Mon May 24 22:19:49 2010  Msieve v. 1.44
Mon May 24 22:19:49 2010  random seeds: 21024c7d 2e545fd3
Mon May 24 22:19:49 2010  factoring 421770346394040881599223239317298450802946294340995839267974962730470930298837048241962065571728944449656378052921086055949471332412531 (135 digits)
Mon May 24 22:19:49 2010  searching for 15-digit factors
Mon May 24 22:19:50 2010  commencing number field sieve (135-digit input)
Mon May 24 22:19:50 2010  R0: -88607725630466487821451549
Mon May 24 22:19:50 2010  R1:  1149062854130369
Mon May 24 22:19:50 2010  A0: -4538820565643969854431820522556672
Mon May 24 22:19:50 2010  A1:  17264980110916028980866942606
Mon May 24 22:19:50 2010  A2:  65934022131965234670651
Mon May 24 22:19:50 2010  A3: -77993894973175184
Mon May 24 22:19:50 2010  A4: -160436753562
Mon May 24 22:19:50 2010  A5:  77220
Mon May 24 22:19:50 2010  skew 678963.50, size 5.321274e-13, alpha -7.168285, combined = 4.161365e-11
Mon May 24 22:19:50 2010
Mon May 24 22:19:50 2010  commencing square root phase
Mon May 24 22:19:50 2010  reading relations for dependency 1
Mon May 24 22:19:53 2010
Mon May 24 22:19:53 2010
Mon May 24 22:19:53 2010  Msieve v. 1.44
Mon May 24 22:19:53 2010  random seeds: 0f75c530 142262ae
Mon May 24 22:19:53 2010  factoring 421770346394040881599223239317298450802946294340995839267974962730470930298837048241962065571728944449656378052921086055949471332412531 (135 digits)
Mon May 24 22:19:53 2010  searching for 15-digit factors
Mon May 24 22:19:54 2010  commencing number field sieve (135-digit input)
Mon May 24 22:19:54 2010  R0: -88607725630466487821451549
Mon May 24 22:19:54 2010  R1:  1149062854130369
Mon May 24 22:19:54 2010  A0: -4538820565643969854431820522556672
Mon May 24 22:19:54 2010  A1:  17264980110916028980866942606
Mon May 24 22:19:54 2010  A2:  65934022131965234670651
Mon May 24 22:19:54 2010  A3: -77993894973175184
Mon May 24 22:19:54 2010  A4: -160436753562
Mon May 24 22:19:54 2010  A5:  77220
Mon May 24 22:19:54 2010  skew 678963.50, size 5.321274e-13, alpha -7.168285, combined = 4.161365e-11
Mon May 24 22:19:54 2010
Mon May 24 22:19:54 2010  commencing square root phase
Mon May 24 22:19:54 2010  reading relations for dependency 1
Mon May 24 22:19:54 2010  read 1164922 cycles
Mon May 24 22:19:56 2010  cycles contain 4206590 unique relations
Mon May 24 22:21:37 2010  read 4206590 relations
Mon May 24 22:22:00 2010  multiplying 4206590 relations
Mon May 24 22:27:45 2010  multiply complete, coefficients have about 206.86 million bits
Mon May 24 22:27:47 2010  initial square root is modulo 26515301
Mon May 24 22:35:08 2010  reading relations for dependency 2
Mon May 24 22:35:09 2010  read 1165621 cycles
Mon May 24 22:35:11 2010  cycles contain 4209350 unique relations
Mon May 24 22:36:57 2010  read 4209350 relations
Mon May 24 22:37:21 2010  multiplying 4209350 relations
Mon May 24 22:43:06 2010  multiply complete, coefficients have about 206.99 million bits
Mon May 24 22:43:08 2010  initial square root is modulo 26808637
Mon May 24 22:50:35 2010  reading relations for dependency 3
Mon May 24 22:50:36 2010  read 1165733 cycles
Mon May 24 22:50:38 2010  cycles contain 4208334 unique relations
Mon May 24 22:52:21 2010  read 4208334 relations
Mon May 24 22:52:44 2010  multiplying 4208334 relations
Mon May 24 22:58:31 2010  multiply complete, coefficients have about 206.94 million bits
Mon May 24 22:58:33 2010  initial square root is modulo 26709689
Mon May 24 23:06:11 2010  sqrtTime: 2777
Mon May 24 23:06:11 2010  prp59 factor: 24923908119877633821282674692609491077901564818468648131567
Mon May 24 23:06:11 2010  prp77 factor: 16922319901254378449400730792729507471431563877370107450807669061708355650493
Mon May 24 23:06:11 2010  elapsed time 00:46:18

520154482654345358375728880702618367571392355570734885724379333354393669978866246599357916747789025409241441668484733587811876709688982388267942431571356964631099366471<168>

3980843238588010489892024931548862143<37>
130664397334782295209650590742356899679167397610942074331579761558024231657405938067573861191185006433921905590657151181446661170297<132>

Run 52 out of 4480:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=194726714
Step 1 took 63016ms
Step 2 took 25201ms
********** Factor found in step 2: 3980843238588010489892024931548862143
Found probable prime factor of 37 digits: 3980843238588010489892024931548862143
Probable prime cofactor 130664397334782295209650590742356899679167397610942074331579761558024231657405938067573861191185006433921905590657151181446661170297 has 132 digits

gmp-ecm 6.2

Athlon 64x2 3600+, 1 GB RAM, Debian Linux 5.0

532302449219587307189018818827717404159796967473574770241050381228350705732435285535959777674836442452385003413794986373699823876005733295736958536182736777<156>

12333535363353537089457353485129433399037999723677105675901403138263018983891065106428177990986238954278775503887853906207103230574974058092152978679983309075917<161>

6792360722740653194989864506125393681527657<43>
1815795106708801594507912771850228677646491129523164275329155811015085729329124219820438570716764628453647583068010181<118>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3942374233
Step 1 took 114319ms
Step 2 took 35026ms
********** Factor found in step 2: 6792360722740653194989864506125393681527657
Found probable prime factor of 43 digits: 6792360722740653194989864506125393681527657
Probable prime cofactor 1815795106708801594507912771850228677646491129523164275329155811015085729329124219820438570716764628453647583068010181 has 118 digits

GMP-ECM 6.2.1

Turion 64 X2 Mobile 1.8GHz, Gentoo Linux

206389778177715545219298324496022900744957760270371205556269157427604750644067656924772975096968813332721197609019179145189122305632147686305921623794594315435290690338740396032292579<183>

353274635308222617211387817622523303749065158599636534827612604991921059521968715417<84>
584219067971426861892723948628254686393626387889791300835587986361873758595348899723270481010528987<99>

09/30/24 06:28:32 v1.34.5 @ TRIGKEY,
09/30/24 06:28:32 v1.34.5 @ TRIGKEY, ****************************
09/30/24 06:28:32 v1.34.5 @ TRIGKEY, Starting factorization of 64000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000053
09/30/24 06:28:32 v1.34.5 @ TRIGKEY, using pretesting plan: normal
09/30/24 06:28:32 v1.34.5 @ TRIGKEY, no tune info: using qs/gnfs crossover of 100 digits
09/30/24 06:28:32 v1.34.5 @ TRIGKEY, ****************************
09/30/24 06:28:32 v1.34.5 @ TRIGKEY, div: found prime factor = 3
09/30/24 06:28:32 v1.34.5 @ TRIGKEY, div: found prime factor = 3
09/30/24 06:28:32 v1.34.5 @ TRIGKEY, div: found prime factor = 11
09/30/24 06:28:32 v1.34.5 @ TRIGKEY, div: found prime factor = 89
09/30/24 06:28:32 v1.34.5 @ TRIGKEY, rho: x^2 + 3, starting 1000 iterations on C205
09/30/24 06:28:32 v1.34.5 @ TRIGKEY, rho: x^2 + 2, starting 1000 iterations on C205
09/30/24 06:28:32 v1.34.5 @ TRIGKEY, rho: x^2 + 1, starting 1000 iterations on C205
09/30/24 06:28:32 v1.34.5 @ TRIGKEY, pm1: starting B1 = 150K, B2 = gmp-ecm default on C205
09/30/24 06:28:32 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 0.00
09/30/24 06:28:32 v1.34.5 @ TRIGKEY, scheduled 30 curves at B1=2000 toward target pretesting depth of 63.08
09/30/24 06:28:32 v1.34.5 @ TRIGKEY, Finished 30 curves using Lenstra ECM method on C205 input, B1=2K, B2=gmp-ecm default
09/30/24 06:28:32 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 15.18
09/30/24 06:28:32 v1.34.5 @ TRIGKEY, scheduled 74 curves at B1=11000 toward target pretesting depth of 63.08
09/30/24 06:28:35 v1.34.5 @ TRIGKEY, Finished 74 curves using Lenstra ECM method on C205 input, B1=11K, B2=gmp-ecm default
09/30/24 06:28:35 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 20.24
09/30/24 06:28:35 v1.34.5 @ TRIGKEY, scheduled 214 curves at B1=50000 toward target pretesting depth of 63.08
09/30/24 06:28:36 v1.34.5 @ TRIGKEY, prp23 = 35193834584343725742037 (curve 7 stg1 B1=50000 sigma=1827720041 thread=0)
09/30/24 06:28:36 v1.34.5 @ TRIGKEY, Finished 7 curves using Lenstra ECM method on C205 input, B1=50K, B2=gmp-ecm default
09/30/24 06:28:36 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 20.41
09/30/24 06:28:36 v1.34.5 @ TRIGKEY, scheduled 207 curves at B1=50000 toward target pretesting depth of 56.31
09/30/24 06:29:09 v1.34.5 @ TRIGKEY, nfs: commencing nfs on c209: 64000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000053
09/30/24 06:29:09 v1.34.5 @ TRIGKEY, nfs: input divides 64*10^207 + 53
09/30/24 06:29:09 v1.34.5 @ TRIGKEY, nfs: using supplied cofactor: 206389778177715545219298324496022900744957760270371205556269157427604750644067656924772975096968813332721197609019179145189122305632147686305921623794594315435290690338740396032292579
09/30/24 06:29:09 v1.34.5 @ TRIGKEY, nfs: commencing snfs on c183: 206389778177715545219298324496022900744957760270371205556269157427604750644067656924772975096968813332721197609019179145189122305632147686305921623794594315435290690338740396032292579
09/30/24 06:29:09 v1.34.5 @ TRIGKEY, gen: best 3 polynomials:
n: 206389778177715545219298324496022900744957760270371205556269157427604750644067656924772975096968813332721197609019179145189122305632147686305921623794594315435290690338740396032292579
# 64*10^207+53, difficulty: 209.71, anorm: 2.06e+032, rnorm: 2.28e+047
# scaled difficulty: 212.22, suggest sieving rational side
# size = 2.290e-014, alpha = -1.277, combined = 7.713e-012, rroots = 1
type: snfs
size: 209
skew: 0.7667
c5: 200
c0: 53
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
n: 206389778177715545219298324496022900744957760270371205556269157427604750644067656924772975096968813332721197609019179145189122305632147686305921623794594315435290690338740396032292579
# 64*10^207+53, difficulty: 210.81, anorm: 1.16e+033, rnorm: 1.62e+047
# scaled difficulty: 213.16, suggest sieving rational side
# size = 1.889e-014, alpha = -2.085, combined = 6.993e-012, rroots = 1
type: snfs
size: 210
skew: 0.3834
c5: 6400
c0: 53
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 206389778177715545219298324496022900744957760270371205556269157427604750644067656924772975096968813332721197609019179145189122305632147686305921623794594315435290690338740396032292579
# 64*10^207+53, difficulty: 209.71, anorm: 4.60e+038, rnorm: 2.55e+040
# scaled difficulty: 209.71, suggest sieving algebraic side
# size = 1.879e-010, alpha = -1.457, combined = 5.248e-012, rroots = 0
type: snfs
size: 209
skew: 0.6129
c6: 1000
c0: 53
Y1: -1
Y0: 20000000000000000000000000000000000
m: 20000000000000000000000000000000000
09/30/24 06:29:11 v1.34.5 @ TRIGKEY, test: fb generation took 1.5877 seconds
09/30/24 06:29:11 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 0 on the rational side over range 21400000-21402000
skew: 0.7667
c5: 200
c0: 53
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
09/30/24 06:32:07 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
09/30/24 06:32:09 v1.34.5 @ TRIGKEY, test: fb generation took 1.7367 seconds
09/30/24 06:32:09 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 1 on the rational side over range 22600000-22602000
skew: 0.3834
c5: 6400
c0: 53
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
09/30/24 06:35:13 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
09/30/24 06:35:16 v1.34.5 @ TRIGKEY, test: fb generation took 2.3405 seconds
09/30/24 06:35:16 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 2 on the algebraic side over range 21400000-21402000
skew: 0.6129
c6: 1000
c0: 53
Y1: -1
Y0: 20000000000000000000000000000000000
m: 20000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
09/30/24 06:38:09 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
09/30/24 06:38:09 v1.34.5 @ TRIGKEY, gen: selected polynomial:
n: 206389778177715545219298324496022900744957760270371205556269157427604750644067656924772975096968813332721197609019179145189122305632147686305921623794594315435290690338740396032292579
# 64*10^207+53, difficulty: 209.71, anorm: 2.06e+032, rnorm: 2.28e+047
# scaled difficulty: 212.22, suggest sieving rational side
# size = 2.290e-014, alpha = -1.277, combined = 7.713e-012, rroots = 1
type: snfs
size: 209
skew: 0.7667
c5: 200
c0: 53
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
10/01/24 11:52:32 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
10/01/24 11:54:27 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 22124925
10/01/24 13:37:01 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
10/01/24 13:39:03 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 23316742
10/01/24 15:21:20 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
10/01/24 15:23:27 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 24494901
10/01/24 17:21:54 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
10/01/24 17:24:06 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 25857787
10/01/24 19:25:28 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
10/01/24 19:29:26 v1.34.5 @ TRIGKEY, nfs: commencing msieve linear algebra
10/01/24 21:40:35 v1.34.5 @ TRIGKEY, nfs: commencing msieve sqrt
10/01/24 21:46:42 v1.34.5 @ TRIGKEY, prp84 = 353274635308222617211387817622523303749065158599636534827612604991921059521968715417
10/01/24 21:46:42 v1.34.5 @ TRIGKEY, prp99 = 584219067971426861892723948628254686393626387889791300835587986361873758595348899723270481010528987
10/01/24 21:46:42 v1.34.5 @ TRIGKEY, NFS elapsed time = 141453.2760 seconds.
10/01/24 21:46:42 v1.34.5 @ TRIGKEY,
10/01/24 21:46:42 v1.34.5 @ TRIGKEY,
09/30/24 06:38:09 v1.34.5 @ TRIGKEY, test: test sieving took 540.21 seconds

YAFU

1012772492402837503531050635848929041734621316645111079673949366662040238184922166560527639247805740172875384013011761170708310088543614311573035021247877694032376920511728281807610325289629<190>

24829246561316044665889922705007019730091251<44>
40789497575038648406860521563341946095635208212023641360793322582301108863200184723552274490892859299592016996095464189119937255132035329025080879<146>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1281060961
Step 1 took 404886ms
********** Factor found in step 1: 24829246561316044665889922705007019730091251
Found probable prime factor of 44 digits: 24829246561316044665889922705007019730091251
Probable prime cofactor 40789497575038648406860521563341946095635208212023641360793322582301108863200184723552274490892859299592016996095464189119937255132035329025080879 has 146 digits

1332861952501142653082994824381443002724712112749654034012780486612286422478510010543864206098085534828823252981228597901623986781786346483824755735904515921954135434593989681770016930297671029509<196>

120353750687524054661558403071957407<36>

11074536064618948013173809104218434495785079170068678862536218619877065401976868698025916479343294712320399742216591613798301642308351142097007338459987719559387<161>

Input number is 1332861952501142653082994824381443002724712112749654034012780486612286422478510010543864206098085534828823252981228597901623986781786346483824755735904515921954135434593989681770016930297671029509 (196 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=868435486
Step 1 took 111042ms
Step 2 took 38735ms
********** Factor found in step 2: 120353750687524054661558403071957407
Found probable prime factor of 36 digits: 120353750687524054661558403071957407
Composite cofactor 11074536064618948013173809104218434495785079170068678862536218619877065401976868698025916479343294712320399742216591613798301642308351142097007338459987719559387 has 161 digits

GMP-ECM 6.1.2

Sempron 3400+ 1.80GHz, Windows Vista

64265835491045736960072278010454722698450882502010690144263974659116792275108799238312632212437706878940811504701629222452158624703328639692104075334253854786574645906321896465667859<182>

9784080786611975920477881921096783081235369208052524612706845914326379<70>
6568408100123594928677928989540436329825130482661987323169640857108283985789595980947588719553012752688758544121<112>

Number: 71117_211
N = 64265835491045736960072278010454722698450882502010690144263974659116792275108799238312632212437706878940811504701629222452158624703328639692104075334253854786574645906321896465667859 (182 digits)
SNFS difficulty: 213 digits.
Divisors found:
r1=9784080786611975920477881921096783081235369208052524612706845914326379 (pp70)
r2=6568408100123594928677928989540436329825130482661987323169640857108283985789595980947588719553012752688758544121 (pp112)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 109.17 hours.
Factorization parameters were as follows:
n: 64265835491045736960072278010454722698450882502010690144263974659116792275108799238312632212437706878940811504701629222452158624703328639692104075334253854786574645906321896465667859
m: 200000000000000000000000000000000000
deg: 6
c6: 10
c0: 53
skew: 1.32
# Murphy_E = 6.119e-12
type: snfs
lss: 1
rlim: 25000000
alim: 25000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 25000000/25000000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 44069650
Relations: 5977704 relations
Pruned matrix : 3842771 x 3842995
Total sieving time: 101.50 hours.
Total relation processing time: 0.34 hours.
Matrix solve time: 7.06 hours.
time per square root: 0.27 hours.
Prototype def-par.txt line would be: snfs,213,6,0,0,0,0,0,0,0,0,25000000,25000000,29,29,57,57,2.6,2.6,100000
total time: 109.17 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 3.19GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

35941309491910758486662005234170872074893268643464833137800626414965143974644419293674986363592824138844110998188385283669370273713419521<137>

3481116880063138874087711073472142381970753800098797934413563637353<67>
10324648878568786171040089670135525627727056848581601683490855935536857<71>

N=35941309491910758486662005234170872074893268643464833137800626414965143974644419293674986363592824138844110998188385283669370273713419521
  ( 137 digits)
Divisors found:
 r1=3481116880063138874087711073472142381970753800098797934413563637353 (pp67)
 r2=10324648878568786171040089670135525627727056848581601683490855935536857 (pp71)
Version: Msieve-1.40
Total time: 392.25 hours.
Scaled time: 695.46 units (timescale=1.773).
Factorization parameters were as follows:
# Murphy_E = 3.007195e-11, selected by Jeff Gilchrist
n: 35941309491910758486662005234170872074893268643464833137800626414965143974644419293674986363592824138844110998188385283669370273713419521
Y0: -211663160984019246134837064
Y1: 1616096447972347
c0: -44806407060763673224817170609302133
c1: 426582626917578881784687144441
c2: -6592438073149852871477
c3: -1939352288454424881
c4: -72821073750
c5: 84600
skew: 1300325.84
type: gnfs
# selected mechanically
rlim: 14700000
alim: 14700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
qintsize: 600000Factor base limits: 14700000/14700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved algebraic special-q in [7350000, 12750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1777600 x 1777825
Total sieving time: 386.33 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 5.23 hours.
Time per square root: 0.44 hours.
Prototype def-par.txt line would be:
gnfs,136,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,14700000,14700000,28,28,55,55,2.6,2.6,100000
total time: 392.25 hours.
 --------- CPU info (if available) ----------

2602206471563440882440004486737566501340514305371809291687024275531494316828281216447112759433977179040092939738441173995565940110257907919262109684551607<154>

6998642919396410789720305796954059376923943341611415661431900470549382533793056690101185067083085920370753108655024861585433199593641295492545898521864744664354927427353539727687178158110278928726476631640645931<211>

125676554603285221667793460094390282916482437<45>
81213719868582797366318791991053471705206424789<47>
685693711441738179761734159616977676586319021004974435893926620849586278615885854977785958434104586204829762960643199667<120>

# I have now already sieved 38 MILLION relations (30-bit LPs!), with 320 CPU-hours on Opteron (on 8 CPUs)
#
# ...in parallel I ran a lot of ECMs, full 1M, 3M, then 11M...
# ...and when I cracked off the P47 I was disappointed, but GNFS was still unfeasible
# ...and another day later, I checked the B1=43000000 ECM processes (far from complete)
# and the number was cracked completely.
#
# What a pity!
#
# P.S. Maybe you could leave this story in a text box
#      (you usually don't for ECMs, but this may be a lesson how to avoid
#      trivial painful factorizations by two months of GGNFS)
#      Nobody likes an ECM miss!
#      The P45 and P47 are not really a miss (for home computing), but nobody wants a 30-39-digit factor, that's for sure.
#
#        --Serge

C211 = P45 . P47 . P120

GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 6998642919396410789720305796954059376923943341611415661431900470549382533793056690101185067083085920370753108655024861585433199593641295492545898521864744664354927427353539727687178158110278928726476631640645931 (211 digits)
Run 3861 out of 4600:
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1048397889
Step 1 took 122874ms
Step 2 took 55826ms
********** Factor found in step 2: 81213719868582797366318791991053471705206424789
Found probable prime factor of 47 digits: 81213719868582797366318791991053471705206424789
Composite cofactor 86175623167136908906028312775085985010301678182392368154328956428185102943358698524469334462125149952396328912164009032468557009157053703824006666253050812289748479 has 164 digits

GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Run 33 out of 1000:
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1801021090
Step 1 took 361683ms
Step 2 took 92881ms
********** Factor found in step 2: 125676554603285221667793460094390282916482437
Found probable prime factor of 45 digits: 125676554603285221667793460094390282916482437
Probable prime cofactor 685693711441738179761734159616977676586319021004974435893926620849586278615885854977785958434104586204829762960643199667 has 120 digits

all three factors prime by APRT-CLE.

Msieve (stopped); GMP-ECM 6.2.1-twice!!

Opteron-2.8GHz; Linux x86_64

533169960464990195630348434690126408943292142060170848818468824737595293451225802982231235761722728776693684923107502910546867347344546008924311867118774718111116668130146561556954264713<186>

7688285434550631639880344359068462293004721<43>
69348356665968808810533948156008462911763905263274240659543824955605442328663271325469184593795391613089318224967895927119670219696276917374553<143>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3796071648
Step 1 took 410603ms
Step 2 took 188441ms
********** Factor found in step 2: 7688285434550631639880344359068462293004721
Found probable prime factor of 43 digits: 7688285434550631639880344359068462293004721
Probable prime cofactor 69348356665968808810533948156008462911763905263274240659543824955605442328663271325469184593795391613089318224967895927119670219696276917374553 has 143 digits

3103806413962440287812221212283203085698350392832377237909417957870334221892408006347408911746215400810391597189896198939669612838438924060553263406050338934770675270389046808405005098596152777897656677<202>

3991754463468780740644858371012052469641424167915186636743527717661865905596875585188165465063636359994730876353714137403174422162206230903458524142496857946247848087787<169>

38068287072532520234581880952761336179<38>

104857737776937132831500531794436978547677820037074899064862334390039119428558654617425288051798995857403608343118733866481109955753<132>

Input number is 3991754463468780740644858371012052469641424167915186636743527717661865905596875585188165465063636359994730876353714137403174422162206230903458524142496857946247848087787 (169 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1641278650
Step 1 took 79747ms
Step 2 took 32043ms
********** Factor found in step 2: 38068287072532520234581880952761336179
Found probable prime factor of 38 digits: 38068287072532520234581880952761336179
Composite cofactor 104857737776937132831500531794436978547677820037074899064862334390039119428558654617425288051798995857403608343118733866481109955753 has 132 digits

GMP-ECM 6.1.2

Sempron 3400+ 1.80GHz, Windows Vista

104857737776937132831500531794436978547677820037074899064862334390039119428558654617425288051798995857403608343118733866481109955753<132>

363210988727484372496492328545443062110799<42>
288696490555827973898065260140780868120540968915440564796920084345573963153343559060691847<90>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3349363715
Step 1 took 141507ms
Step 2 took 59822ms
********** Factor found in step 2: 363210988727484372496492328545443062110799
Found probable prime factor of 42 digits: 363210988727484372496492328545443062110799
Probable prime cofactor has 90 digits

GMP-ECM 6.2.1

19362488808251570928408592638883352854542686275616458245323596532144869362459816277922928623970254458332657237249177487701925662754754556973546573906513628028715141<164>

158036429608474339790297154126039355866573575984230290107491<60>
122519148630609799805897949303518578015925418148772806031578138984986916600557041980496038091666789724151<105>

Number: 71117_222
N = 19362488808251570928408592638883352854542686275616458245323596532144869362459816277922928623970254458332657237249177487701925662754754556973546573906513628028715141 (164 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=158036429608474339790297154126039355866573575984230290107491 (pp60)
r2=122519148630609799805897949303518578015925418148772806031578138984986916600557041980496038091666789724151 (pp105)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 61.67 hours.
Factorization parameters were as follows:
n: 19362488808251570928408592638883352854542686275616458245323596532144869362459816277922928623970254458332657237249177487701925662754754556973546573906513628028715141
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 6400
c0: 53
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 33071269
Relations: 8750706 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 25.75 hours.
Total relation processing time: 0.37 hours.
Pruned matrix : 7446946 x 7447171
Matrix solve time: 35.37 hours.
time per square root: 0.18 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 61.67 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

133391692198670251568394505929677567269013526751287021405198107505366931365805873402947122699514370870589216115383813751849767606661247629171095687696700639863273515496362992142395631422080493549261135079930803059671939807<222>

99666309668989396665600950146576917166454241065739191163823331200578020384662329552118417643363797052567293<107>
1338382976571413230165608293458944642172164297784485136634643668600259889557905086686641021522741867230099192114699<115>

PRP115 = 1338382976571413230165608293458944642172164297784485136634643668600259889557905086686641021522741867230099192114699
PRP107 = 99666309668989396665600950146576917166454241065739191163823331200578020384662329552118417643363797052567293

ggnfs-lasieve4I14e on the RSALS grid + yafu

1371519812316343610113739358242661055804792875849467049289172677165454706030646676285926293535779670004593913941684893200985336423007148321401541745723378450813370321279<169>

516420559993544743000080690712498991366093762607923827967400952150407488098119906398773501170015331235374808359557814895505527313806180908577422738642782215766965222302912934721213588315984830146050189623174372629710320342128621<228>

3232206055590841780396196269472673101807<40>

159773402781755490907447637584752460118703047764753337154560922740787663830010334120610537832830875279251407218065664853653746287567720114801810544062706842945696047019376975588206911877603<189>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=951095515
Step 1 took 81562ms
Step 2 took 33204ms
********** Factor found in step 2: 3232206055590841780396196269472673101807
Found probable prime factor of 40 digits: 3232206055590841780396196269472673101807
Composite cofactor 159773402781755490907447637584752460118703047764753337154560922740787663830010334120610537832830875279251407218065664853653746287567720114801810544062706842945696047019376975588206911877603 has 189 digits

GMP-ECM 6.2.1

290486886160546662575736888638159419711628715262487993599985616807119052358680638822667518392690983430395882050214545156707237800517912375805653307714809994015746549468855563305265784333613<189>

122334784589234392683295194652612149338189319179115868523072772347572950426690801931827228533310815015647306731512386262336087369965447853346893<144>

5629056896456130761115640768115712949562588093167473845957065096607951<70>
21732731937076769089333819026656467057955775638915262225760919560406955043<74>

Number: 71117_232
N=122334784589234392683295194652612149338189319179115868523072772347572950426690801931827228533310815015647306731512386262336087369965447853346893
  ( 144 digits)
Divisors found:
 r1=5629056896456130761115640768115712949562588093167473845957065096607951
 r2=21732731937076769089333819026656467057955775638915262225760919560406955043
Version: 
Total time: 22 CPU-days.
Scaled time: ? units (timescale=2.739).
Factorization parameters were as follows:
name: 71117_232
n: 122334784589234392683295194652612149338189319179115868523072772347572950426690801931827228533310815015647306731512386262336087369965447853346893
skew: 690006.04
# norm 1.16e+20
c5: 366240
c4: -200755493198
c3: -1264280431194248789
c2: 30690227552865176460280
c1: 116115356677156443273022507812
c0: 1643772806174680731101452821850125
# alpha -6.86
Y1: 12549580773819617
Y0: -3197105916158047746993222154
# Murphy_E 1.41e-11
# M 5734946885270096719071646003056964635381291967622973864385956607094834583149950289638574241818695561052754902888430269917445698295408593930669
type: gnfs
rlim: 20000000
alim: 20000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [10000000, 11400001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: 24,475,000 relations (22,067,313 unique) vs. 19,071,047 large primes
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2595393 x 2595641
Total sieving time: 20 CPU-days. (with 8cpus * a 2.5-day weekend)
Total relation processing time: 0.50 hours.
Top memory use in filtering: 1.5 Gb
Matrix solve time: 37.35 hours.
Time per square root: 1.90 hours.
Prototype def-par.txt line would be:
gnfs,144,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,20000000,20000000,28,28,56,56,2.6,2.6,100000
#use this line, sieve algebraic (or better yet, always do test runs)

total time: 22 CPU-days.

# Note: my estimate of a general case GNFS:SNFS break-even ratio is 72:100
# this is GNFS-144 ~= complexity of SNFS-200
# GNFS is absolutely better for this particular number

pol51(K.F.); Franke/Childers-64bit-assembly-sievers; Msieve 1.36

Opteron-2.6GHz; Linux x86_64

145256333316273501660526120793789689827397007045706819791173472892357251002657644019967016144220190377399661796108278194511802202042361779920200585291576226834049920651628759195880220156184339046459<198>

29715307959206781017070661563422697824394594582188424563086860755287331564614507842203345567959606646537831164151131964303407357129656070626968335366532611<155>

26652891282185821045577962549160542412294508503<47>
1114899980065870331232905973592925067977812491581216317251152807767466063464285258166500582274270472922906037<109>

GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 29715307959206781017070661563422697824394594582188424563086860755287331564614507842203345567959606646537831164151131964303407357129656070626968335366532611 (155 digits)
Using B1=10757000, B2=24775914181, polynomial Dickson(12), sigma=1312137675
Step 1 took 171578ms
Step 2 took 79234ms
********** Factor found in step 2: 26652891282185821045577962549160542412294508503
Found probable prime factor of 47 digits: 26652891282185821045577962549160542412294508503
Probable prime cofactor 1114899980065870331232905973592925067977812491581216317251152807767466063464285258166500582274270472922906037 has 109 digits

4785082505289759175769538463838981973696999603735355030691818256585095963334305303217220315665911520833800626546740536377842077323942608916702180950885614098049331209952971611002699085600640004785082505289759175769538463838981973697<232>

28107359195838759279509711482249<32>

170243048162211606139168092899412373887432262726392638811930752489088113456154186085588507167609348929816413787030872916649323684810730559987175370389656582406055523330513546443606392638754557740210553<201>

Input number is 4785082505289759175769538463838981973696999603735355030691818256585095963334305303217220315665911520833800626546740536377842077323942608916702180950885614098049331209952971611002699085600640004785082505289759175769538463838981973697 (232 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=984891023
Step 1 took 571228ms
Step 2 took 165081ms
********** Factor found in step 2: 28107359195838759279509711482249
Found probable prime factor of 32 digits: 28107359195838759279509711482249
Composite cofactor 170243048162211606139168092899412373887432262726392638811930752489088113456154186085588507167609348929816413787030872916649323684810730559987175370389656582406055523330513546443606392638754557740210553 has 201 digits

GMP-ECM 6.1.2

Sempron 3400+ 1.80GHz, Windows Vista

100109645024877310018350124596184186928049588615010199360558022500445037291054673636795349533172610255630425710942515280026344669050562365551154776950711531268975185150453356026602689772822202946843932726216545842128698281<222>

6439440434086891745591132827876208899<37>

15546326742142275797343802733855931211964187662623718039519045945410959794410303852402574597376122760199834255719754439546665593662708368862695746542115188846097476249599680897257390819<185>

Input number is 100109645024877310018350124596184186928049588615010199360558022500445037291054673636795349533172610255630425710942515280026344669050562365551154776950711531268975185150453356026602689772822202946843932726216545842128698281 (222 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=108129834
Step 1 took 135456ms
Step 2 took 45723ms
********** Factor found in step 2: 6439440434086891745591132827876208899
Found probable prime factor of 37 digits: 6439440434086891745591132827876208899
Composite cofactor 15546326742142275797343802733855931211964187662623718039519045945410959794410303852402574597376122760199834255719754439546665593662708368862695746542115188846097476249599680897257390819 has 185 digits

GMP-ECM 6.1.2

Sempron 3400+ 1.80GHz, Windows Vista

15546326742142275797343802733855931211964187662623718039519045945410959794410303852402574597376122760199834255719754439546665593662708368862695746542115188846097476249599680897257390819<185>

233202059516789671139626067582843105351628643063<48>

66664620262596774993261800511192008466724264296712752482301588355036183040068713728860275034482934670903811997193523231902425311945937013<137>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2062378286
Step 1 took 28283ms
Step 2 took 15412ms
********** Factor found in step 2: 233202059516789671139626067582843105351628643063
Found probable prime factor of 48 digits: 233202059516789671139626067582843105351628643063
Composite cofactor 66664620262596774993261800511192008466724264296712752482301588355036183040068713728860275034482934670903811997193523231902425311945937013 has 137 digits

GMP-ECM 6.3

66664620262596774993261800511192008466724264296712752482301588355036183040068713728860275034482934670903811997193523231902425311945937013<137>

13815792641049025206069442704067845093103757588366510495338809580439<68>
4825247598500071917474087034061928321286873003856952387705497157248467<70>

Number: 71117_236
N = 66664620262596774993261800511192008466724264296712752482301588355036183040068713728860275034482934670903811997193523231902425311945937013 (137 digits)
Divisors found:
r1=13815792641049025206069442704067845093103757588366510495338809580439 (pp68)
r2=4825247598500071917474087034061928321286873003856952387705497157248467 (pp70)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 233.36 hours.
Factorization parameters were as follows:
# Murphy_E = 3.669e-11, selected by Erik Branger
n: 66664620262596774993261800511192008466724264296712752482301588355036183040068713728860275034482934670903811997193523231902425311945937013
Y0: -413422636580266497512508130
Y1: 1080389047508077
c0: -54571479242573899677884546040376251
c1: 241322444069219590302574461244
c2: 314519720686914598561647
c3: -691758148999544004
c4: -72611488076
c5: 5520
skew: 2143419.38
type: gnfs
# selected mechanically
rlim: 15000000
alim: 15000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [7500000, 17500000)
Relations: 23178012
Relations in full relation-set: 3118552 relations
Pruned matrix : 1971029 x 1971257
Polynomial selection time: 0.00 hours.
Total sieving time: 229.29 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 3.62 hours.
time per square root: 0.29 hours.
Prototype def-par.txt line would be: gnfs,136,5,65,2000,1e-05,0.28,250,20,50000,3600,15000000,15000000,28,28,55,55,2.6,2.6,100000
total time: 233.36 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

13302058464722362133263819094487088075252740550069285318771625339927231480355975189008691046292666895777521794121672268091110793414905458908594395277648524518928693755425680809804741643460813000100060245469629260676026469<221>

28663088996309171528140485054027154277033677855462679486325734293197606844008758852822578666097812052206553900399642591762004425576947643905586985914761699503385497196569271955978608657621588112226339555759862487<212>

88535617617913709618208984739081043580467747067315043437761675886096793169240102007542777950207130512948230488725631860687831121797985105606811766297578494586016100617450953087187889103440008699793328167<203>

4021485084904547213379505656504007525365478144861693108832202638507231688834923158525645184083074430753713816884830775943372616998669756867101742436799418685493709622522853294168461587504220129339877<199>

13204002242197848930315183174455896399123863272721288111669514384453274002934204395172435003635295634003276950358389406412221185621402228781604501137579947465059661163132141162784956054698538177395993680749307693<212>

27725657306557552386455161608309477613103940626742752360181766087057576019370286862272802743543161021061049922131335879461514482904534094612330793659159716880092419011022962437095847549285764936665219951559394149015835918912100784029237<236>

3653540712889564696115226712823703119009<40>
7588709004594473714701606971400814241433489374368336268700131770235266770437697694816355315610746815222410425117554914203426930343872298340279245942146302647290762688407537944247691411211636284693<196>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3995167275
Step 1 took 187352ms
Step 2 took 52507ms
********** Factor found in step 2: 3653540712889564696115226712823703119009
Found probable prime factor of 40 digits: 3653540712889564696115226712823703119009
Probable prime cofactor 7588709004594473714701606971400814241433489374368336268700131770235266770437697694816355315610746815222410425117554914203426930343872298340279245942146302647290762688407537944247691411211636284693 has 196 digits

GMP-ECM 6.2.1

Turion 64 X2 Mobile 1.8GHz, Genoo Linux

201706760763723681688414343623659115570000346301131532609207264679026281558386955312032517357328255392460627105731623712812820596340816684369873409379154521627220139814084217518297808150587809495452707435615702607490869675335752844087201<237>

83729072948579601959889709889291259658522671276175304083564110659296047473083859207266052536867101618043636004937438527426785420703435614159755667235827575805371556502695170587268901424096848177016350304445166405409479603<221>

1115409808826481487721767396696401745727<40>

75065749185647424301639973766450991088912379509114416801234054773803073644854905012027429069765331464723207178998756891472876524389458263589608376114581569780896727097603078911963789<182>

Run 16 out of 50:
Using B1=1000000, B2=5704990210, polynomial Dickson(6), sigma=3290980444
Step 1 took 13086ms
Step 2 took 13113ms
********** Factor found in step 2: 1115409808826481487721767396696401745727
Found probable prime factor of 40 digits: 1115409808826481487721767396696401745727
Composite cofactor 750657491856474243016399737664509910889123795091144168012340547738030736448549050120274290697653314647232
07178998756891472876524389458263589608376114581569780896727097603078911963789 has 182 digits

GMP-ECM 6.2.1

Opteron-2.8GHz; Linux x86_64

3324347207288631251980324019966860413777341457206821144925955360250157127348469501711519382502506246136744944654813291155678140858824323832972330003791833533313595021790057085274700159464780099626530368431167832785335473381848025389701795666921187<247>

804295630920569876325805545847353747309446012924301799252338005239662430601770631691936640042538696367988778941477041908278611428232067692740403270754579965132986480015852588648457187895213829453158319803<204>

284448186977083197461253244863136747892692139242363383306204070743953123048213428187784826265543787884373015938918797234889392567616121739892370795402113582283118587607791912324546741500447<189>

49435191894892183495909556299764713098562875244826746600715938346587548159487698271184552295557736746112347400253006017891412958392992056211855491270815844872854417678241819644330552513458815423127873757528670796184951<218>

3747800431979793573555752953133059725833067332010382102509601546519939540594717551047171394018131196732597653191755651605805598664246021257307580750000901312478645088660192957637282162290989523952238378521532407816517961355366357844842501368611<244>

1326774010573372911496046235239892901<37>
2824746642693249897769735813248150946581713746564176095268963900767601935997866473898770694445257287401245868411620084238727091916170904045849437665968751207807672279608715503367009632750199830650332461116711<208>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2738599458
Step 1 took 13609ms
Step 2 took 5313ms
********** Factor found in step 2: 1326774010573372911496046235239892901
Found prime factor of 37 digits: 1326774010573372911496046235239892901
Prime cofactor 2824746642693249897769735813248150946581713746564176095268963900767601935997866473898770694445257287401245868411620084238727091916170904045849437665968751207807672279608715503367009632750199830650332461116711 has 208 digits

GMP-ECM

168945788605918999904435726098212181135694498506556175354348681631841862094113608736116808364129561406820182010622811824186436749199884487528885843912231083340671170764299989173540103633750584007623102201624893119856721380376063<228>

1408516935690290957192984922962497808638008780719773292984804771557592321626867010360106395520695949393635984278367881401771351122234047525886383607202209343019772228157714160719602170285248480995695658957<205>

1422119560257553341493955840269356018052163<43>
990434964156741591151428747337951315030529013653402340386216299527227417808983585236970033999794738323180968671755608140648823958399885565103746646836210386584239<162>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1859658282
Step 1 took 9860ms
Step 2 took 4562ms
********** Factor found in step 2: 1422119560257553341493955840269356018052163
Found prime factor of 43 digits: 1422119560257553341493955840269356018052163
Prime cofactor 990434964156741591151428747337951315030529013653402340386216299527227417808983585236970033999794738323180968671755608140648823958399885565103746646836210386584239 has 162 digits

GMP-ECM

355841423114380575731276893752897054827996943782111970692771279488581104105765960604576364659383649613222914610778280161566984415583916294042083735645419093120063656714605853510168693819<186>

16023636525087896423634531215743222734301016547267107282789768321145005444734611031804210879586683792626093087731116360332659795202053224517493069960862424661916123809063166353564898081203584082504304354034909<209>

4067279812098927581120253308784946342852156273837584961877945578993141757027580331483330744476131259076390320195035956514354148136358464316550336639080230155002324072368873174621635897904578912912238234152605010766759088301181972595394317870603317<247>

5815491136562249480908549258063024847<37>
699387156920893553776603129624203252420735049202061679661028009591648760298184848714061044355103608149999799205801504921052664496726958069319123194890970038148363026702985339640035311728283478882793419121390011<210>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1192364601
Step 1 took 13704ms
Step 2 took 5359ms
********** Factor found in step 2: 5815491136562249480908549258063024847
Found prime factor of 37 digits: 5815491136562249480908549258063024847
Prime cofactor 699387156920893553776603129624203252420735049202061679661028009591648760298184848714061044355103608149999799205801504921052664496726958069319123194890970038148363026702985339640035311728283478882793419121390011 has 210 digits
 

GMP-ECM

882278848087711455398403906067434506795889477645459583744906650052698860151672556434805407643743295333855161006673001702239792686320756348850117450243499624516065726749951268113202245331088997248351792311131104482857260205049140403608410014237547163<249>

7461210229052427187305151454595898089840675034128210614236536294382129864676952835003146833750748580819257978374356230329730384693411116609947846438641682917829954429427165287417765361875990435194360346270494759764431<217>

365719294602115186575678235091816500999460787373310930298322913872633557277642744886896358617984358165130267139422274470665237864965202457126652423161348433466405819754672462924521130433625185517831841598109278794377017019155411121326905107610019906259<252>

13984331538957097550272045664674438164119821391280273077061875027188544198104182471095753061030450008100578156639912112255531321442226814718498883622174262203797361489831228047951138273131536208571918289438385359360943486659582147134554027634917<245>

7805838387100693701736553531721537563368179335328903329687707788897593479027962854726558355218613231343783013491970177398722247421404836400567126488270185232341767129205911807046778792842244281571923108587072703554727<217>

746881975137282292092233291862201382881735127020878895596806768611020208887479871686989368046445299145998078561680227899767346392801095156747818002957908092531942891276767567192933025338890234604555656414667<207>

101219040025336585549946512780056706252428763942828845268738025419786016136744056702844769583879842605534448111195250682810054959410329584358057590443252218973544198214206258754214570955946789769923093621987207049401161034958780595295209476015526577005354136156497<264>

2874484897589164366466291560650807722624450413239693956548543955965104643192261466995137939595124755231406080699620801665202522084281699200348824440481665404048970934849795860468504583526788125731682880707212898526514353469429010531190189477671693041<250>

914605324780668318184415256015100653801858218081645601640632300565470962516744875839080931758862829777080585237937032344762052608247963156312689694464412195330170923639408259472532575097151223520273208987628277694682118603620444514134685837782796506140771<255>

79430034120997021522848651217077924533382264174550893643307606119184761828639079433318796676225966122180889554901331994563106881007717386138856086472172396922473372879225490936872064786164431303669369474357499778881315241205282269620318865405814716914379888019<260>

170006192800126799073292989941944031<36>

467218474884508905096826163335032410834902503347877004164961078356135606571614800009858877866433804052987310280023104124697620412798779675972573279202327415799854906488323247829583237414218264373668812767265614295752112665549<225>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:53387452
Step 1 took 15297ms
Step 2 took 5859ms
********** Factor found in step 2: 170006192800126799073292989941944031
Found prime factor of 36 digits: 170006192800126799073292989941944031
Composite cofactor 467218474884508905096826163335032410834902503347877004164961078356135606571614800009858877866433804052987310280023104124697620412798779675972573279202327415799854906488323247829583237414218264373668812767265614295752112665549 has 225 digits

GMP-ECM

210543833020196629566447896020146127450955947993133588364347829290986563572520743816037074661733776690595735610830021642757061178111562827532185773615398110768276036549214804698863176347718905811103746165643791420875884128038996967510200414039<243>

93937503798368195030100492396719577764546178682796394347646540793257619019146449730870377824418199607240518147459426204176591131596905829650673377815886321421433236285341406946283954384901791437683565105109904207942210304920473587650150753933158292506956914962819357053<269>

596323855558573606493898955194296786970820941059738658852722117258508449633699359804318861174840194966854656923551085116869734180246262986779361290618800913612498302491934060636183092455253462828636511010943425122454847506046404768925610101941535155057428721994221988951511<273>

11077461957608905129542957342163418945450390661495349220908662093891724013474316709115386233117565680698225150570776859056061560031582499649859190061473325224074176463431495417071345394461923685834707464469760226900721873932914077548840704547687927599659947704711769931<269>

14446040506200996745194214261460738020671697093978061926880147093195944265099108753788163758599710984387735158121054975377739694403493305400108259530431001907170782016313778112023039990003339969708910252325603731069169289695185610967181146598938211508406568551416742378590679049<278>

9205679328790905939533070683794983767798246030410386307702708339626278186998991690436018371083810518351665580684183348364481612374734437727175309217330266691406929862792226379161794129365685542624452873394579868617695329412289294226456834713466038954407434736767914755409415396211<280>

2815854327410772015268338821074365891742269590959756488646530376247191687072145011974936471242981226118737489405630091578344159889125352894972688215288152387946329846200943177939543755261019285519331762846869124084885323510183998020506141057912254896168820614083908989643303<274>