502976362625838398724451944380873820834789869050103990362972892088936280439500745662457592805426109<99>

81143272388834334896650363044075567399043782163<47>
6198620635061424030493749864953890386771151005333743<52>

Number: n
N=502976362625838398724451944380873820834789869050103990362972892088936280439500745662457592805426109
  ( 99 digits)
SNFS difficulty: 105 digits.
Divisors found:
 r1=81143272388834334896650363044075567399043782163 (pp47)
 r2=6198620635061424030493749864953890386771151005333743 (pp52)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.86 hours.
Scaled time: 1.25 units (timescale=1.449).
Factorization parameters were as follows:
name: KA_1_9_103_7
n: 502976362625838398724451944380873820834789869050103990362972892088936280439500745662457592805426109
skew: 1.72
deg: 5
c5: 1
c0: -15
m: 1000000000000000000000
type: snfs
rlim: 1500000
alim: 1500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 200001)
Primes: RFBsize:114155, AFBsize:114187, largePrimes:4382413 encountered
Relations: rels:4136356, finalFF:487915
Max relations in full relation-set: 28
Initial matrix: 228406 x 487915 with sparse part having weight 13647573.
Pruned matrix : 114742 x 115948 with weight 3325133.
Total sieving time: 0.71 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.05 hours.
Total square root time: 0.04 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,105,5,0,0,0,0,0,0,0,0,1500000,1500000,28,28,48,48,2.5,2.5,20000
total time: 0.86 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

8751732788893266688487625777268063114486632739211302698544914987497525049574361686915585756517<94>

5159197730271147217349752990276548876845323<43>
1696335989904637732334935062814384104990952215712079<52>

Number: n
N=8751732788893266688487625777268063114486632739211302698544914987497525049574361686915585756517
  ( 94 digits)
SNFS difficulty: 106 digits.
Divisors found:
 r1=5159197730271147217349752990276548876845323 (pp43)
 r2=1696335989904637732334935062814384104990952215712079 (pp52)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 1.03 hours.
Scaled time: 1.49 units (timescale=1.449).
Factorization parameters were as follows:
name: KA_1_9_105_7
n: 8751732788893266688487625777268063114486632739211302698544914987497525049574361686915585756517
skew: 0.68
deg: 5
c5: 20
c0: -3
m: 1000000000000000000000
type: snfs
rlim: 1500000
alim: 1500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 200001)
Primes: RFBsize:114155, AFBsize:113992, largePrimes:4623427 encountered
Relations: rels:4344731, finalFF:480702
Max relations in full relation-set: 28
Initial matrix: 228213 x 480702 with sparse part having weight 15679088.
Pruned matrix : 114549 x 115754 with weight 4184415.
Total sieving time: 0.87 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.07 hours.
Total square root time: 0.01 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,106,5,0,0,0,0,0,0,0,0,1500000,1500000,28,28,48,48,2.5,2.5,50000
total time: 1.03 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

156934498334296931342888700420223926738874127226828735072542912178143222401314959597796961<90>

9795426399848232136433658361416964220351<40>
16021201316639818235833142024355288672757596038111<50>

Number: 19997_108
N=156934498334296931342888700420223926738874127226828735072542912178143222401314959597796961
  ( 90 digits)
SNFS difficulty: 110 digits.
Divisors found:
 r1=9795426399848232136433658361416964220351 (pp40)
 r2=16021201316639818235833142024355288672757596038111 (pp50)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.51 hours.
Scaled time: 0.46 units (timescale=0.909).
Factorization parameters were as follows:
n: 156934498334296931342888700420223926738874127226828735072542912178143222401314959597796961
m: 10000000000000000000000
c5: 1
c0: -150
skew: 2.72
type: snfs
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [250000, 325001)
Primes: RFBsize:41538, AFBsize:41357, largePrimes:1146010 encountered
Relations: rels:1115866, finalFF:136839
Max relations in full relation-set: 28
Initial matrix: 82959 x 136839 with sparse part having weight 5203852.
Pruned matrix : 58367 x 58845 with weight 1641515.
Total sieving time: 0.48 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,110,5,0,0,0,0,0,0,0,0,500000,500000,25,25,44,44,2.2,2.2,25000
total time: 0.51 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676)
Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148)
Total of 4 processors activated (19246.21 BogoMIPS).

Core 2 Quad Q6600

498877525567473185333000748316288351209777999501122474432526814666999251683711648790222000498877525567473185333<111>

66720394280058370841709380872145894939733576500903<50>
7477136952660057610131641830487159799848955980602003638351811<61>

Number: 19997_114
N=498877525567473185333000748316288351209777999501122474432526814666999251683711648790222000498877525567473185333
  ( 111 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=66720394280058370841709380872145894939733576500903 (pp50)
 r2=7477136952660057610131641830487159799848955980602003638351811 (pp61)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.65 hours.
Scaled time: 0.60 units (timescale=0.929).
Factorization parameters were as follows:
n: 498877525567473185333000748316288351209777999501122474432526814666999251683711648790222000498877525567473185333
m: 100000000000000000000000
c5: 1
c0: -15
skew: 1.72
type: snfs
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [250000, 375001)
Primes: RFBsize:41538, AFBsize:41382, largePrimes:1141363 encountered
Relations: rels:1093722, finalFF:121200
Max relations in full relation-set: 28
Initial matrix: 82984 x 121200 with sparse part having weight 5257052.
Pruned matrix : 66846 x 67324 with weight 2100764.
Total sieving time: 0.62 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,115,5,0,0,0,0,0,0,0,0,500000,500000,25,25,44,44,2.2,2.2,25000
total time: 0.65 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676)
Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148)
Total of 4 processors activated (19246.21 BogoMIPS).

Core 2 Quad Q6600

12693985850175186430016911327810157663880441074803615518059787935833747232907048068371437696826716606008698583<110>

22950984299621533137884728246439<32>
553091130404568883549143340580413178416536717655739844547962308344784263446097<78>

Number: 19997_118
N=12693985850175186430016911327810157663880441074803615518059787935833747232907048068371437696826716606008698583
  ( 110 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=22950984299621533137884728246439 (pp32)
 r2=553091130404568883549143340580413178416536717655739844547962308344784263446097 (pp78)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 1.06 hours.
Scaled time: 0.98 units (timescale=0.927).
Factorization parameters were as follows:
n: 12693985850175186430016911327810157663880441074803615518059787935833747232907048068371437696826716606008698583
m: 1000000000000000000000000
c5: 1
c0: -150
skew: 2.72
type: snfs
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [350000, 490001)
Primes: RFBsize:56543, AFBsize:56408, largePrimes:2190525 encountered
Relations: rels:2411404, finalFF:354493
Max relations in full relation-set: 28
Initial matrix: 113015 x 354493 with sparse part having weight 29047533.
Pruned matrix : 69719 x 70348 with weight 4777254.
Total sieving time: 1.00 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,120,5,0,0,0,0,0,0,0,0,700000,700000,25,25,46,46,2.4,2.4,35000
total time: 1.06 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676)
Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148)
Total of 4 processors activated (19246.21 BogoMIPS).

Core 2 Quad Q6600

20313954193455270551906774388857227334172367354703680858028922804841099679659099346307111031706121274915953553768853<116>

171991496996710309484092016279706178541733683213<48>
118110223750443992209744996157769492200408400398154132891719193722281<69>

Number: 19997_122
N=20313954193455270551906774388857227334172367354703680858028922804841099679659099346307111031706121274915953553768853
  ( 116 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=171991496996710309484092016279706178541733683213 (pp48)
 r2=118110223750443992209744996157769492200408400398154132891719193722281 (pp69)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 1.36 hours.
Scaled time: 1.27 units (timescale=0.929).
Factorization parameters were as follows:
n: 20313954193455270551906774388857227334172367354703680858028922804841099679659099346307111031706121274915953553768853
m: 2000000000000000000000000
c5: 25
c0: -12
skew: 1
type: snfs
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [350000, 560001)
Primes: RFBsize:56543, AFBsize:56628, largePrimes:2122377 encountered
Relations: rels:2193156, finalFF:202049
Max relations in full relation-set: 28
Initial matrix: 113235 x 202049 with sparse part having weight 18248550.
Pruned matrix : 93995 x 94625 with weight 5931908.
Total sieving time: 1.29 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,122,5,0,0,0,0,0,0,0,0,700000,700000,25,25,46,46,2.4,2.4,35000
total time: 1.36 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676)
Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148)
Total of 4 processors activated (19246.21 BogoMIPS).

Core 2 Quad Q6600

634177542056498147727386792391213558521105928315688960325495387938387321694086180962789993154640998992817840816729<114>

9336975976397637344374611852234644275771<40>
67921085334223439767801410472062272050391919676586092874931678368742117499<74>

Number: 19997_124
N=634177542056498147727386792391213558521105928315688960325495387938387321694086180962789993154640998992817840816729
  ( 114 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=9336975976397637344374611852234644275771 (pp40)
 r2=67921085334223439767801410472062272050391919676586092874931678368742117499 (pp74)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 1.37 hours.
Scaled time: 1.28 units (timescale=0.933).
Factorization parameters were as follows:
n: 634177542056498147727386792391213558521105928315688960325495387938387321694086180962789993154640998992817840816729
m: 10000000000000000000000000
c5: 1
c0: -15
skew: 1.72
type: snfs
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [350000, 560001)
Primes: RFBsize:56543, AFBsize:56578, largePrimes:2126235 encountered
Relations: rels:2218039, finalFF:221963
Max relations in full relation-set: 28
Initial matrix: 113185 x 221963 with sparse part having weight 20278707.
Pruned matrix : 90696 x 91325 with weight 5816729.
Total sieving time: 1.30 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,125,5,0,0,0,0,0,0,0,0,700000,700000,25,25,46,46,2.4,2.4,35000
total time: 1.37 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676)
Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148)
Total of 4 processors activated (19246.21 BogoMIPS).

Core 2 Quad Q6600

78395421725029230328818426014800087569324238426422046695751860537037254334678996299996708647592753825499027<107>

70950032524214449038440162186879<32>
1104938488904480115616998648501886905041655534575552950019302930656654642413<76>

Number: 19997_125
N=78395421725029230328818426014800087569324238426422046695751860537037254334678996299996708647592753825499027
  ( 107 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=70950032524214449038440162186879 (pp32)
 r2=1104938488904480115616998648501886905041655534575552950019302930656654642413 (pp76)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 1.41 hours.
Scaled time: 1.31 units (timescale=0.929).
Factorization parameters were as follows:
n: 78395421725029230328818426014800087569324238426422046695751860537037254334678996299996708647592753825499027
m: 10000000000000000000000000
c5: 2
c0: -3
skew: 1.08
type: snfs
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [500000, 750001)
Primes: RFBsize:78498, AFBsize:78591, largePrimes:1530358 encountered
Relations: rels:1610360, finalFF:249014
Max relations in full relation-set: 28
Initial matrix: 157154 x 249014 with sparse part having weight 10838770.
Pruned matrix : 105018 x 105867 with weight 4177813.
Total sieving time: 1.36 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,125,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,44,44,2.2,2.2,50000
total time: 1.41 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676)
Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148)
Total of 4 processors activated (19246.21 BogoMIPS).

Core 2 Quad Q6600

187733125505103299807786248565954705912786141137724869511999365125813198339801086514367050241684111925629253<108>

224921079033736342221790746096952105532091294451<48>
834662212681919642405556463667806222934803506974724243740903<60>

Number: 19997_132
N=187733125505103299807786248565954705912786141137724869511999365125813198339801086514367050241684111925629253
  ( 108 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=224921079033736342221790746096952105532091294451 (pp48)
 r2=834662212681919642405556463667806222934803506974724243740903 (pp60)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 3.24 hours.
Scaled time: 3.02 units (timescale=0.930).
Factorization parameters were as follows:
n: 187733125505103299807786248565954705912786141137724869511999365125813198339801086514367050241684111925629253
m: 200000000000000000000000000
c5: 25
c0: -12
skew: 1
type: snfs
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [500000, 1150001)
Primes: RFBsize:78498, AFBsize:78531, largePrimes:1574002 encountered
Relations: rels:1587278, finalFF:187947
Max relations in full relation-set: 28
Initial matrix: 157093 x 187947 with sparse part having weight 12103751.
Pruned matrix : 146454 x 147303 with weight 7639030.
Total sieving time: 3.14 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:
snfs,132,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,44,44,2.2,2.2,50000
total time: 3.24 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676)
Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148)
Total of 4 processors activated (19246.21 BogoMIPS).

Core 2 Quad Q6600

504573578000679980011194383314501795810950700707844710097611496380308437105732388873064306717211277180237947940579<114>

5387015255111323942626049346281287077863<40>
93664776152606764401059753977917406656658975593547100495177002729005709733<74>

Number: n
N=504573578000679980011194383314501795810950700707844710097611496380308437105732388873064306717211277180237947940579
  ( 114 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=5387015255111323942626049346281287077863 (pp40)
 r2=93664776152606764401059753977917406656658975593547100495177002729005709733 (pp74)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 3.51 hours.
Scaled time: 5.09 units (timescale=1.448).
Factorization parameters were as follows:
name: KA_1_9_132_7
n: 504573578000679980011194383314501795810950700707844710097611496380308437105732388873064306717211277180237947940579
skew: 0.54
deg: 5
c5: 125
c0: -6
m: 200000000000000000000000000
type: snfs
rlim: 1500000
alim: 1500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 400001)
Primes: RFBsize:114155, AFBsize:113572, largePrimes:5040741 encountered
Relations: rels:4461042, finalFF:289507
Max relations in full relation-set: 28
Initial matrix: 227792 x 289507 with sparse part having weight 14730733.
Pruned matrix : 176541 x 177743 with weight 6872155.
Total sieving time: 3.03 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.36 hours.
Total square root time: 0.02 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,133,5,0,0,0,0,0,0,0,0,1500000,1500000,28,28,48,48,2.5,2.5,75000
total time: 3.51 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

4035816282671613171343262279759201422385931092225366246725375548600017972927485571480526777015219311635458678522796387<118>

7000751848412477959806057766604418499857831431396426422451<58>
576483264949148720398224057113036271804100390023761971950737<60>

Number: n
N=4035816282671613171343262279759201422385931092225366246725375548600017972927485571480526777015219311635458678522796387
  ( 118 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=7000751848412477959806057766604418499857831431396426422451 (pp58)
 r2=576483264949148720398224057113036271804100390023761971950737 (pp60)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 5.31 hours.
Scaled time: 7.68 units (timescale=1.447).
Factorization parameters were as follows:
name: KA_1_9_136_7
n: 4035816282671613171343262279759201422385931092225366246725375548600017972927485571480526777015219311635458678522796387
skew: 0.43
deg: 5
c5: 200
c0: -3
m: 1000000000000000000000000000
type: snfs
rlim: 1500000
alim: 1500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 700001)
Primes: RFBsize:114155, AFBsize:114342, largePrimes:6384288 encountered
Relations: rels:5895003, finalFF:424935
Max relations in full relation-set: 28
Initial matrix: 228562 x 424935 with sparse part having weight 33701210.
Pruned matrix : 150857 x 152063 with weight 10360660.
Total sieving time: 4.55 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.44 hours.
Total square root time: 0.17 hours, sqrts: 6.
Prototype def-par.txt line would be:
snfs,137,5,0,0,0,0,0,0,0,0,1500000,1500000,28,28,48,48,2.5,2.5,75000
total time: 5.31 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

1999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<139>

2792516776165070836944026656509845283656971<43>
716199815546524866079650590503056034131183398218468977769146136824078266907549975600350599517207<96>

Number: 19997_138
N=1999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997
  ( 139 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=2792516776165070836944026656509845283656971 (pp43)
 r2=716199815546524866079650590503056034131183398218468977769146136824078266907549975600350599517207 (pp96)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 8.55 hours.
Scaled time: 7.97 units (timescale=0.932).
Factorization parameters were as follows:
n: 1999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997
m: 10000000000000000000000000000
c5: 1
c0: -150
skew: 1
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [650000, 1200001)
Primes: RFBsize:100021, AFBsize:99568, largePrimes:1619547 encountered
Relations: rels:1694434, finalFF:263039
Max relations in full relation-set: 28
Initial matrix: 199653 x 263039 with sparse part having weight 10868421.
Pruned matrix : 161528 x 162590 with weight 6105713.
Total sieving time: 8.45 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:
snfs,140,5,0,0,0,0,0,0,0,0,1300000,1300000,25,25,43,43,2.3,2.3,50000
total time: 8.55 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676)
Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148)
Total of 4 processors activated (19246.21 BogoMIPS).

Core 2 Quad Q6600

13856662525834015196601792082164466113185376509769986330402418264744008552332110944754179342626073111908485058014381830035563124372553<134>

41803841074986331004467759752042705661<38>
331468644256359068076837242793801952073119679096103445167011822018914725489819506339762119501373<96>

Number: n
N=13856662525834015196601792082164466113185376509769986330402418264744008552332110944754179342626073111908485058014381830035563124372553
  ( 134 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=41803841074986331004467759752042705661 (pp38)
 r2=331468644256359068076837242793801952073119679096103445167011822018914725489819506339762119501373 (pp96)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 4.88 hours.
Scaled time: 7.08 units (timescale=1.451).
Factorization parameters were as follows:
name: KA_1_9_138_7
n: 13856662525834015196601792082164466113185376509769986330402418264744008552332110944754179342626073111908485058014381830035563124372553
skew: 1.72
deg: 5
c5: 1
c0: -15
m: 10000000000000000000000000000
type: snfs
rlim: 2000000
alim: 2000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 600001)
Primes: RFBsize:148933, AFBsize:148925, largePrimes:5871911 encountered
Relations: rels:5357002, finalFF:416257
Max relations in full relation-set: 28
Initial matrix: 297922 x 416257 with sparse part having weight 22774580.
Pruned matrix : 197183 x 198736 with weight 9498448.
Total sieving time: 4.11 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.59 hours.
Total square root time: 0.06 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,2000000,2000000,28,28,48,48,2.5,2.5,75000
total time: 4.88 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

77851304009342156481121058777734527053328143246399377189567925262748151031529778123783573374854028804982483456597898014791747761775009731413<140>

300364480242690431385063688008727003<36>
259189448587394079995709224242217573207735348894143323496982198581906017312796640460823662146191460771471<105>

Number: n
N=77851304009342156481121058777734527053328143246399377189567925262748151031529778123783573374854028804982483456597898014791747761775009731413
  ( 140 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=300364480242690431385063688008727003 (pp36)
 r2=259189448587394079995709224242217573207735348894143323496982198581906017312796640460823662146191460771471 (pp105)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 6.88 hours.
Scaled time: 9.96 units (timescale=1.448).
Factorization parameters were as follows:
name: KA_1_9_142_7
n: 77851304009342156481121058777734527053328143246399377189567925262748151031529778123783573374854028804982483456597898014791747761775009731413
skew: 0.54
deg: 5
c5: 125
c0: -6
m: 20000000000000000000000000000
type: snfs
rlim: 2500000
alim: 2500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 800001)
Primes: RFBsize:183072, AFBsize:182636, largePrimes:6536042 encountered
Relations: rels:6097591, finalFF:542478
Max relations in full relation-set: 28
Initial matrix: 365773 x 542478 with sparse part having weight 28309689.
Pruned matrix : 211117 x 213009 with weight 11522988.
Total sieving time: 5.77 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.85 hours.
Total square root time: 0.11 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,143,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000
total time: 6.88 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

424941792099091652796628671010700958506423837145816971878241180930695799833275848461352158847044391932985716517<111>

4448748130740857754356733813222510745804262837<46>
95519408968726075748994090904376099816839216393188114257850974641<65>

Number: n
N=424941792099091652796628671010700958506423837145816971878241180930695799833275848461352158847044391932985716517
  ( 111 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=4448748130740857754356733813222510745804262837 (pp46)
 r2=95519408968726075748994090904376099816839216393188114257850974641 (pp65)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 11.06 hours.
Scaled time: 16.04 units (timescale=1.450).
Factorization parameters were as follows:
name: KA_1_9_145_7
n: 424941792099091652796628671010700958506423837145816971878241180930695799833275848461352158847044391932985716517
skew: 0.68
deg: 5
c5: 20
c0: -3
m: 100000000000000000000000000000
type: snfs
rlim: 2500000
alim: 2500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1300001)
Primes: RFBsize:183072, AFBsize:182801, largePrimes:6838353 encountered
Relations: rels:6284624, finalFF:453514
Max relations in full relation-set: 28
Initial matrix: 365939 x 453514 with sparse part having weight 30588863.
Pruned matrix : 295556 x 297449 with weight 17145080.
Total sieving time: 8.83 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 1.91 hours.
Total square root time: 0.16 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000
total time: 11.06 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

12085247709510427120634598202262732105264237067773714462472119550932718546531305768674719902899358701907707<107>

19847917526656775016866295121378364453<38>
608892479187265731705994468981721335175199066679255978067665568322719<69>

Number: n
N=12085247709510427120634598202262732105264237067773714462472119550932718546531305768674719902899358701907707
  ( 107 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=19847917526656775016866295121378364453 (pp38)
 r2=608892479187265731705994468981721335175199066679255978067665568322719 (pp69)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 12.22 hours.
Scaled time: 17.76 units (timescale=1.454).
Factorization parameters were as follows:
name: KA_1_9_146_7
n: 12085247709510427120634598202262732105264237067773714462472119550932718546531305768674719902899358701907707
skew: 0.43
deg: 5
c5: 200
c0: -3
m: 100000000000000000000000000000
type: snfs
rlim: 2500000
alim: 2500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2500000/2500000
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:183072, AFBsize:183041, largePrimes:6840115 encountered
Relations: rels:6269711, finalFF:436586
Max relations in full relation-set: 28
Initial matrix: 366178 x 436586 with sparse part having weight 29446300.
Pruned matrix : 310612 x 312506 with weight 17873574.
Total sieving time: 9.61 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 2.38 hours.
Total square root time: 0.05 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000
total time: 12.22 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

822996566812300756270915694973657445507528537129099442009025996149706730952409519399555793857628590326355578315591<114>

232357967917576122963811199234684498812206335392391<51>
3541933914244940727356281485918685455317930382157304642870395201<64>

Number: n
N=822996566812300756270915694973657445507528537129099442009025996149706730952409519399555793857628590326355578315591
  ( 114 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=232357967917576122963811199234684498812206335392391 (pp51)
 r2=3541933914244940727356281485918685455317930382157304642870395201 (pp64)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 19.36 hours.
Scaled time: 28.14 units (timescale=1.454).
Factorization parameters were as follows:
name: KA_1_9_150_7
n: 822996566812300756270915694973657445507528537129099442009025996149706730952409519399555793857628590326355578315591
skew: 0.68
deg: 5
c5: 20
c0: -3
m: 1000000000000000000000000000000
type: snfs
rlim: 2500000
alim: 2500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 900001)
Primes: RFBsize:183072, AFBsize:182801, largePrimes:6608095 encountered
Relations: rels:6045586, finalFF:420551
Max relations in full relation-set: 28
Initial matrix: 365939 x 420551 with sparse part having weight 29835712.
Pruned matrix : 321725 x 323618 with weight 19335173.
Total sieving time: 16.77 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.32 hours.
Total square root time: 0.11 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000
total time: 19.36 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

241432395029142644418795685506626823600720952779925262840558341180193330344056600225360186277355101442030529906274731229391<123>

18536972846671778888746448349596139528250921<44>
13024370107576147632519746158741250510023486439810098022457117528012765562134071<80>

Number: 19997_153
N=241432395029142644418795685506626823600720952779925262840558341180193330344056600225360186277355101442030529906274731229391
  ( 123 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=18536972846671778888746448349596139528250921 (pp44)
 r2=13024370107576147632519746158741250510023486439810098022457117528012765562134071 (pp80)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 15.54 hours.
Scaled time: 14.53 units (timescale=0.935).
Factorization parameters were as follows:
n: 241432395029142644418795685506626823600720952779925262840558341180193330344056600225360186277355101442030529906274731229391
m: 2000000000000000000000000000000
c5: 125
c0: -6
skew: 1
type: snfs
Factor 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, 2100001)
Primes: RFBsize:176302, AFBsize:175758, largePrimes:5489347 encountered
Relations: rels:5372513, finalFF:457707
Max relations in full relation-set: 28
Initial matrix: 352125 x 457707 with sparse part having weight 40251711.
Pruned matrix : 304309 x 306133 with weight 23581787.
Total sieving time: 14.88 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.54 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,153,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 15.54 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676)
Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148)
Total of 4 processors activated (19246.21 BogoMIPS).

Core 2 Quad Q6600

123505768100840596625987030865138293794962628917724309346543529336914398804253330201481289125453373065851731567631<114>

1176075110392218874344361392155876226533549449<46>
105015204394259862679542119957655122688478278199700532417643933576919<69>

r1=1176075110392218874344361392155876226533549449 (pp46)
r2=105015204394259862679542119957655122688478278199700532417643933576919 (pp69)

GGNFS-0.77.1-20060513-pentium4

Pentium 4 2.4GHz, Windows XP, MinGW, msys

950455378847699300374424598634237722308057180347692882733859893445386580027802421982455311802165614024833261186121222088656230782253<132>

496078180985187011253921599029146472448633<42>
1915938687245105985797755896058272648806048756431283226141003881366035015771171783110925141<91>

Number: n
N=950455378847699300374424598634237722308057180347692882733859893445386580027802421982455311802165614024833261186121222088656230782253
  ( 132 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=496078180985187011253921599029146472448633 (pp42)
 r2=1915938687245105985797755896058272648806048756431283226141003881366035015771171783110925141 (pp91)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 33.62 hours.
Scaled time: 48.78 units (timescale=1.451).
Factorization parameters were as follows:
name: KA_1_9_156_7
n: 950455378847699300374424598634237722308057180347692882733859893445386580027802421982455311802165614024833261186121222088656230782253
skew: 0.43
deg: 5
c5: 200
c0: -3
m: 10000000000000000000000000000000
type: snfs
rlim: 2500000
alim: 2500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1600001)
Primes: RFBsize:183072, AFBsize:183041, largePrimes:7276973 encountered
Relations: rels:6812530, finalFF:487659
Max relations in full relation-set: 28
Initial matrix: 366178 x 487659 with sparse part having weight 43287182.
Pruned matrix : 296199 x 298093 with weight 25524280.
Total sieving time: 30.36 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 3.00 hours.
Total square root time: 0.06 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000
total time: 33.62 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

3434689538847075156669170246694359027751302650612112051029535669072282263120505215768659729098715953969223080215754614814847743<127>

765613002593259893435771444351052001550447832917<48>
4486195411014709158764439342476979691484480174887014872203008588690204116766979<79>

Number: 19997_158
N=3434689538847075156669170246694359027751302650612112051029535669072282263120505215768659729098715953969223080215754614814847743
  ( 127 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=765613002593259893435771444351052001550447832917 (pp48)
 r2=4486195411014709158764439342476979691484480174887014872203008588690204116766979 (pp79)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 24.75 hours.
Scaled time: 53.09 units (timescale=2.145).
Factorization parameters were as follows:
n: 3434689538847075156669170246694359027751302650612112051029535669072282263120505215768659729098715953969223080215754614814847743
m: 20000000000000000000000000000000
c5: 125
c0: -6
skew: 0.54
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3400001)
Primes: RFBsize:283146, AFBsize:282582, largePrimes:5753873 encountered
Relations: rels:5897488, finalFF:751668
Max relations in full relation-set: 28
Initial matrix: 565793 x 751668 with sparse part having weight 45568672.
Pruned matrix : 412610 x 415502 with weight 27462155.
Total sieving time: 23.64 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.98 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 24.75 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Total of 4 processors activated (19246.12 BogoMIPS).

Core 2 Quad Q6600

38030276619683218658414314715214644031792681245567543321908819741944435634470898723335504446772965016634924096504255821580686819719214228737<140>

3896040234710280092225221728653869867<37>
5874207548035032880370430336726048734418437859121<49>
1661715856862486631625209578684315662965911900561608691<55>

GMP-ECM 5.0 [powered by GMP 4.1.2] [ECM]
Input number is 38030276619683218658414314715214644031792681245567543321908819741944435634470898723335504446772965016634924096504255821580686819719214228737 (140 digits)
Using B1=1035500, B2=882333471, polynomial Dickson(6), sigma=66633404
Step 1 took 18900ms
Step 2 took 13130ms
********** Factor found in step 2: 3896040234710280092225221728653869867
Found probable prime factor of 37 digits: 3896040234710280092225221728653869867
Composite cofactor 9761263829071121262365012249257222672340375008383646695682227981460573838578364015976442972225787220611 has 103 digits


Number: n
N=9761263829071121262365012249257222672340375008383646695682227981460573838578364015976442972225787220611
  ( 103 digits)
Divisors found:
 r1=5874207548035032880370430336726048734418437859121 (pp49)
 r2=1661715856862486631625209578684315662965911900561608691 (pp55)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 8.26 hours.
Scaled time: 11.92 units (timescale=1.443).
Factorization parameters were as follows:
name: KA_1_9_158_7
n: 9761263829071121262365012249257222672340375008383646695682227981460573838578364015976442972225787220611
skew: 17806.85
# norm 3.92e+14
c5: 24840
c4: 1198081196
c3: -24357592265018
c2: -210683013743336014
c1: 4490637563116177810311
c0: -6227635109584928607029385
# alpha -6.39
Y1: 15093872179
Y0: -52344334656327314746
# Murphy_E 2.17e-09
# M 5247268042512921953463320309399432360648469461756698860444742486375840947181248944205613969233916838496
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [100000, 1000001)
Primes: RFBsize:169511, AFBsize:168934, largePrimes:4068833 encountered
Relations: rels:4045535, finalFF:435835
Max relations in full relation-set: 28
Initial matrix: 338529 x 435835 with sparse part having weight 25375260.
Pruned matrix : 245530 x 247286 with weight 10481944.
Total sieving time: 7.28 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 0.75 hours.
Total square root time: 0.08 hours, sqrts: 1.
Prototype def-par.txt line would be:
gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 8.26 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

11010124718413221462280367876462346322453582439931705506709272261862462870251427913507922600641649990825847478334158897252623567869<131>

1244702530203678363132386159041482385491409469399<49>
8845587159376599603050287573778844195307606321990000300773593282138846596884883531<82>

Number: 19997_160
N=11010124718413221462280367876462346322453582439931705506709272261862462870251427913507922600641649990825847478334158897252623567869
  ( 131 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=1244702530203678363132386159041482385491409469399 (pp49)
 r2=8845587159376599603050287573778844195307606321990000300773593282138846596884883531 (pp82)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 25.76 hours.
Scaled time: 54.81 units (timescale=2.128).
Factorization parameters were as follows:
n: 11010124718413221462280367876462346322453582439931705506709272261862462870251427913507922600641649990825847478334158897252623567869
m: 100000000000000000000000000000000
c5: 2
c0: -3
skew: 1.08
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3500001)
Primes: RFBsize:283146, AFBsize:283187, largePrimes:5679964 encountered
Relations: rels:5762216, finalFF:699117
Max relations in full relation-set: 28
Initial matrix: 566398 x 699117 with sparse part having weight 43937665.
Pruned matrix : 457329 x 460224 with weight 27759676.
Total sieving time: 24.56 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 1.07 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 25.76 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Total of 4 processors activated (19246.09 BogoMIPS).

Core 2 Quad Q6600

2203509238366825706525812526599680526701910802200803073114340690666302293483820086875402887164912644433439868869938295310478545778407059899977047<145>

1403781958927021896724841424949479359<37>
2551589809127749396488652666886417210600862321179209<52>
615183048749711493044799857844699363803138896771654939937<57>

GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM]
Input number is 2203509238366825706525812526599680526701910802200803073114340690666302293483820086875402887164912644433439868869938295310478545778407059899977047 (145 digits)
Using B1=1158000, B2=1426247560, polynomial Dickson(6), sigma=307207771
Step 1 took 12752ms
Step 2 took 5897ms
********** Factor found in step 2: 1403781958927021896724841424949479359
Found probable prime factor of 37 digits: 1403781958927021896724841424949479359
Composite cofactor 1569694797937903300551110733526778314018254369305286389639105161479391032809561453871065828543212923908169833 has 109 digits


Number: n
N=1569694797937903300551110733526778314018254369305286389639105161479391032809561453871065828543212923908169833
  ( 109 digits)
Divisors found:

Tue Jan 15 14:40:26 2008  prp52 factor: 2551589809127749396488652666886417210600862321179209
Tue Jan 15 14:40:26 2008  prp57 factor: 615183048749711493044799857844699363803138896771654939937
Tue Jan 15 14:40:26 2008  elapsed time 00:47:23 (Msieve 1.32)

Version: GGNFS-0.77.1-20050930-k8
Total time: 11.42 hours.
Scaled time: 9.56 units (timescale=0.837).
Factorization parameters were as follows:
name: KA_1_9_164_7
n: 1569694797937903300551110733526778314018254369305286389639105161479391032809561453871065828543212923908169833
skew: 8306.36
# norm 2.76e+14
c5: 66240
c4: -3742036824
c3: -9666955114689
c2: 233645416862500981
c1: 389670328960034369953
c0: -1807187513145699342603261
# alpha -5.10
Y1: 357931261909
Y0: -473088827202633755566
# Murphy_E 1.24e-09
# M 794377935712316731005078895413010160819638922615293091642026246376800976490609919453234209027858723238419702
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 2800001)
Primes: RFBsize:230209, AFBsize:230661, largePrimes:7168024 encountered
Relations: rels:6884920, finalFF:517695
Max relations in full relation-set: 28
Initial matrix: 460952 x 517695 with sparse part having weight 37788957.
Pruned matrix : 413293 x 415661 with weight 25450233.
Total sieving time: 11.25 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 11.42 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6045.69 BogoMIPS (lpj=3022848)
Total of 2 processors activated (12009.47 BogoMIPS).

368425181583729075054661841466814056230938894648221005080473079592659957588484134223977797250984191407671585695678752701412091729194256683177<141>

1416288347210403639057173330195587867<37>
260134302671767920102022631505867541342722247157905131978577734973578865145671722044817281277952599937931<105>

GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 368425181583729075054661841466814056230938894648221005080473079592659957588484134223977797250984191407671585695678752701412091729194256683177 (141 digits)
Using B1=2542000, B2=3172139063, polynomial Dickson(6), sigma=3477227582
Step 1 took 36640ms
Step 2 took 21438ms
********** Factor found in step 2: 1416288347210403639057173330195587867
Found probable prime factor of 37 digits: 1416288347210403639057173330195587867
Probable prime cofactor 260134302671767920102022631505867541342722247157905131978577734973578865145671722044817281277952599937931 has 105 digits

153943937781353108536756537324699851367617756522642950041274675994347000906411323427239445922131938694315897997353834148496170889890726793061473567573373<153>

56976208855415157152685472638791<32>
1494197448543319671819667216019537347<37>
1808260737095189373997972911343245292873628525108905125242459880129553110340203951049<85>

Run 84 out of 400:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2750456873
Step 1 took 68329ms
Step 2 took 24757ms
********** Factor found in step 2: 56976208855415157152685472638791
Found probable prime factor of 32 digits: 56976208855415157152685472638791
Composite cofactor 2701898579668694525947436511877732384172518262028772318730134458336102332613252695903423946797208054379179962226415327003 has 121 digits

Run 292 out of 400:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3160208993
Step 1 took 48142ms
Step 2 took 18548ms
********** Factor found in step 2: 1494197448543319671819667216019537347
Found probable prime factor of 37 digits: 1494197448543319671819667216019537347
Probable prime cofactor 1808260737095189373997972911343245292873628525108905125242459880129553110340203951049 has 85 digits

GMP-ECM 6.2.1

Sempron, Windows Vista

359801591086145602805821706247375266506307297671130929620628218204021960118114055049867142055393088726215346465144223757091842812534639291<138>

2488278116031430102776096707299610662488043<43>
144598623750304627603800978611367204972835492142676576929116325082869033718437561821680337101937<96>

Number: 19997_172
N=359801591086145602805821706247375266506307297671130929620628218204021960118114055049867142055393088726215346465144223757091842812534639291
  ( 138 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=2488278116031430102776096707299610662488043 (pp43)
 r2=144598623750304627603800978611367204972835492142676576929116325082869033718437561821680337101937 (pp96)
Version: Msieve-1.40
Total time: 81.72 hours.
Scaled time: 237.06 units (timescale=2.901).
Factorization parameters were as follows:
name: 19997_172
n: 359801591086145602805821706247375266506307297671130929620628218204021960118114055049867142055393088726215346465144223757091842812534639291
m: 10000000000000000000000000000000000
deg: 5
c5: 200
c0: -3
skew: 0.43
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2600000, 5900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 971581 x 971829
Total sieving time: 79.42 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 2.06 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000
total time: 81.72 hours.
 --------- CPU info (if available) ----------

Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

1780086024255834511785528806050820868162880530141247972482382949652032091348860373709205535930849612893512085611277442761021281021377901910723915952373886951<157>

314129679887073807583524645188651<33>

5666723452861111419953301719983874645151689206796263127100108210064996380732130563446722510620008860655369666194925533653301<124>

Input number is 1780086024255834511785528806050820868162880530141247972482382949652032091348860373709205535930849612893512085611277442761021281021377901910723915952373886951 (157 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1809889519
Step 1 took 77968ms
Step 2 took 46797ms
********** Factor found in step 2: 314129679887073807583524645188651
Found probable prime factor of 33 digits: 314129679887073807583524645188651
Composite cofactor 5666723452861111419953301719983874645151689206796263127100108210064996380732130563446722510620008860655369666194925533653301 has 124 digits

GMP-ECM 6.1.2

Pentium 4 2.26GHz, Windows XP

5666723452861111419953301719983874645151689206796263127100108210064996380732130563446722510620008860655369666194925533653301<124>

129436443535881527128893364288064480493161761142268211249<57>
43779968748061432046513482796553162771143586000974553425324771322949<68>

Number: 1
N=5666723452861111419953301719983874645151689206796263127100108210064996380732130563446722510620008860655369666194925533653301
  ( 124 digits)
Divisors found:
r1=129436443535881527128893364288064480493161761142268211249 (pp57)
r2=43779968748061432046513482796553162771143586000974553425324771322949 (pp68)
Version: Msieve v. 1.41
Total time: 64.89 hours.
Scaled time: 129.00 units (timescale=1.988).
Factorization parameters were as follows:
n: 5666723452861111419953301719983874645151689206796263127100108210064996380732130563446722510620008860655369666194925533653301
Y0: -790479467134143134043274
Y1: 32457700167143
c0: -16608921037930062398718064421235
c1: 204502172404307051875471623
c2: -475301048895667076195
c3: -3826111044588199
c4: 6563015646
c5: 18360
skew: 335696.21
type: gnfs
# selected mechanically
rlim: 6600000
alim: 6600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [3300000, 6200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 853192 x 853440
Total sieving time: 63.48 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.94 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
gnfs,123,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6600000,6600000,27,27,52,52,2.5,2.5,100000
total time: 64.89 hours.
 --------- CPU info (if available) ----------

Msieve v. 1.41

471102099623677356870547589145734939744740388010571109109458543966504649089159552991614402558331952181630628043006725855151139635783414264769329301<147>

11599818465140965879994476653062655563497677557<47>
198710711995103149990233169293141838129420782191<48>
204381963777669164792577925160889405410315156951866223<54>

N = 471102099623677356870547589145734939744740388010571109109458543966504649089159552991614402558331952181630628043006725855151139635783414264769329301 (147 digits)
SNFS difficulty: 179 digits.
Divisors found:
r1=11599818465140965879994476653062655563497677557 (pp47)
r2=198710711995103149990233169293141838129420782191 (pp48)
r3=204381963777669164792577925160889405410315156951866223 (pp54)
Version: Msieve v. 1.48
Total time: 32.30 hours.
Factorization parameters were as follows:
name: 2*10^178-3
n: 471102099623677356870547589145734939744740388010571109109458543966504649089159552991614402558331952181630628043006725855151139635783414264769329301
Y0: 200000000000000000000000000000000000
Y1: -1
c0: -6
c1: 0
c2: 0
c3: 0
c4: 0
c5: 125
skew: 0.54
type: snfs
Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20454264
Relations: 2327180 relations
Pruned matrix : 1335014 x 1335239
Polynomial selection time: 0.00 hours.
Total sieving time: 29.76 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 2.17 hours.
time per square root: 0.26 hours.
Prototype def-par.txt line would be: snfs,179,5,0,0,0,0,0,0,0,0,6700000,6700000,28,28,55,55,2.5,2.5,100000
total time: 32.30 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

455046553926964512105036094622354360817454845884983885513196835126109015968017485727090758919686051293496237807079087462451507308355934285854940252361425136245321<162>

5888327336151621339092064391533621133226986428026063636851455387805005773<73>
77279425539607484572840555647164294919712911147901487533613444201950695923489405913069677<89>

Number: 19997_179
N = 455046553926964512105036094622354360817454845884983885513196835126109015968017485727090758919686051293496237807079087462451507308355934285854940252361425136245321 (162 digits)
SNFS difficulty: 180 digits.
Divisors found:
r1=5888327336151621339092064391533621133226986428026063636851455387805005773 (pp73)
r2=77279425539607484572840555647164294919712911147901487533613444201950695923489405913069677 (pp89)
Version: Msieve v. 1.52 (SVN 945M)
Total time: 47.91 hours.
Factorization parameters were as follows:
n: 455046553926964512105036094622354360817454845884983885513196835126109015968017485727090758919686051293496237807079087462451507308355934285854940252361425136245321
m: 1000000000000000000000000000000000000
deg: 5
c5: 1
c0: -15
skew: 1.72
# Murphy_E = 1.357e-10
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 200000
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 18416048
Relations: 2151458 relations
Pruned matrix : 1271312 x 1271537
Polynomial selection time: 0.00 hours.
Total sieving time: 45.40 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 2.01 hours.
time per square root: 0.36 hours.
Prototype def-par.txt line would be: snfs,180,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,53,53,2.5,2.5,200000
total time: 47.91 hours.
x86 Family 16 Model 4 Stepping 3, AuthenticAMD
Windows-XP-5.1.2600-SP3
processors: 4, speed: 3.20GHz

MSieve 1.52 SVN 945

7407069044120835492998207693625097135254315476954038721169573279033888279230074415862344956840980787432938527143601213001054788162974713161223071<145>

112032125257256292325042410655727<33>

66115580929239593359723808855458909629091457719484972084609617544199525101235044807799431332453896293536909365073<113>

Input number is 7407069044120835492998207693625097135254315476954038721169573279033888279230074415862344956840980787432938527143601213001054788162974713161223071 (145 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3566521925
Step 1 took 66144ms
Step 2 took 27613ms
********** Factor found in step 2: 112032125257256292325042410655727
Found probable prime factor of 33 digits: 112032125257256292325042410655727
Composite cofactor 66115580929239593359723808855458909629091457719484972084609617544199525101235044807799431332453896293536909365073 has 113 digits

GMP-ECM 6.1.3

Sempron 3400+ 1.80GHz, Windows Vista

66115580929239593359723808855458909629091457719484972084609617544199525101235044807799431332453896293536909365073<113>

905172686450661562749851540460137766673<39>
73041953120006531682243304867114152425466458123310047541535943923877620801<74>

Number: 19997_180
N=66115580929239593359723808855458909629091457719484972084609617544199525101235044807799431332453896293536909365073
  ( 113 digits)
Divisors found:
 r1=905172686450661562749851540460137766673 (pp39)
 r2=73041953120006531682243304867114152425466458123310047541535943923877620801 (pp74)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 19.07 hours.
Scaled time: 40.84 units (timescale=2.142).
Factorization parameters were as follows:
name: 19997_180
n: 66115580929239593359723808855458909629091457719484972084609617544199525101235044807799431332453896293536909365073
skew: 50900.26
# norm 4.78e+15
c5: 35640
c4: 2092026780
c3: -257421258914871
c2: -3597313150952401664
c1: 336073469633725578681108
c0: 880253753751683250101584592
# alpha -6.29
Y1: 891128745329
Y0: -4504765787799004324305
# Murphy_E 6.77e-10
# M 31447131488392542736505992818019557460517464114991795498415980855609373894140662627343843911601067913431897504545
type: gnfs
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 70000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1400000, 2310001)
Primes: RFBsize:203362, AFBsize:203921, largePrimes:7460034 encountered
Relations: rels:7203107, finalFF:459537
Max relations in full relation-set: 28
Initial matrix: 407366 x 459537 with sparse part having weight 41639635.
Pruned matrix : 368891 x 370991 with weight 29954447.
Polynomial selection time: 1.04 hours.
Total sieving time: 17.05 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.71 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2800000,2800000,27,27,50,50,2.6,2.6,70000
total time: 19.07 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600

7064751842768502977659281894777172164219840072412649121313361502805200153508812975706062860389517603066341772805289776004432861208956005774618961337<148>

949144353624325440376001410577375375978814883<45>
7443284907919028465924707807548173511764945050016169910818198185461325048000226757691114048862859652339<103>

Sieving took ~1 day with 8 threads on a quad core I7

Msieve v. 1.52 (SVN 956M)
Wed Apr 30 12:02:36 2014
random seeds: cd07d72d e7b89718
factoring 7064751842768502977659281894777172164219840072412649121313361502805200153508812975706062860389517603066341772805289776004432861208956005774618961337 (148 digits)
searching for 15-digit factors
commencing number field sieve (148-digit input)
R0: -1000000000000000000000000000000000000
R1: 1
A0: -3
A1: 0
A2: 0
A3: 0
A4: 0
A5: 2000
skew 0.27, size 1.039e-12, alpha -0.748, combined = 8.348e-11 rroots = 1

commencing relation filtering
estimated available RAM is 32004.3 MB
commencing duplicate removal, pass 1
error -11 reading relation 1448985
read 10M relations
error -9 reading relation 13072536
error -1 reading relation 14257200
error -9 reading relation 14820362
error -15 reading relation 15372257
error -15 reading relation 15914527
error -11 reading relation 16660569
found 3085592 hash collisions in 17394048 relations
added 505463 free relations
commencing duplicate removal, pass 2
found 3069152 duplicates and 14830359 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 376.5 MB
reading all ideals from disk
memory use: 440.7 MB
keeping 15017016 ideals with weight <= 200, target excess is 115927
commencing in-memory singleton removal
begin with 14830359 relations and 15017016 unique ideals
reduce to 4489661 relations and 3307454 ideals in 8 passes
max relations containing the same ideal: 78
removing 916396 relations and 516396 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 3573265 relations and 3307454 unique ideals
reduce to 3481648 relations and 2687847 ideals in 6 passes
max relations containing the same ideal: 65
removing 898660 relations and 498660 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 2582988 relations and 2687847 unique ideals
reduce to 2507276 relations and 2105651 ideals in 6 passes
max relations containing the same ideal: 52
removing 613663 relations and 346514 ideals in 267149 cliques
commencing in-memory singleton removal
begin with 1893613 relations and 2105651 unique ideals
reduce to 1833894 relations and 1694388 ideals in 7 passes
max relations containing the same ideal: 43
relations with 0 large ideals: 2864
relations with 1 large ideals: 2353
relations with 2 large ideals: 30053
relations with 3 large ideals: 145794
relations with 4 large ideals: 353544
relations with 5 large ideals: 497981
relations with 6 large ideals: 452906
relations with 7+ large ideals: 348399
commencing 2-way merge
reduce to 1369322 relation sets and 1229816 unique ideals
commencing full merge
memory use: 151.0 MB
found 720897 cycles, need 698016
weight of 698016 cycles is about 48938182 (70.11/cycle)
distribution of cycle lengths:
1 relations: 38795
2 relations: 72009
3 relations: 95490
4 relations: 97687
5 relations: 91957
6 relations: 78205
7 relations: 62404
8 relations: 48093
9 relations: 35745
10+ relations: 77631
heaviest cycle: 17 relations
commencing cycle optimization
start with 3818702 relations
pruned 163504 relations
memory use: 115.2 MB
distribution of cycle lengths:
1 relations: 38795
2 relations: 74292
3 relations: 100791
4 relations: 102923
5 relations: 97360
6 relations: 80985
7 relations: 63548
8 relations: 46784
9 relations: 33308
10+ relations: 59230
heaviest cycle: 17 relations
RelProcTime: 189

commencing linear algebra
read 698016 cycles
cycles contain 1762490 unique relations
read 1762490 relations
using 20 quadratic characters above 1073618142
building initial matrix
memory use: 238.5 MB
read 698016 cycles
matrix is 697833 x 698016 (206.0 MB) with weight 61834407 (88.59/col)
sparse part has weight 46322719 (66.36/col)
filtering completed in 2 passes
matrix is 697538 x 697721 (206.0 MB) with weight 61820404 (88.60/col)
sparse part has weight 46315287 (66.38/col)
matrix starts at (0, 0)
matrix is 697538 x 697721 (206.0 MB) with weight 61820404 (88.60/col)
sparse part has weight 46315287 (66.38/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 697490 x 697721 (196.0 MB) with weight 49120220 (70.40/col)
sparse part has weight 44398091 (63.63/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (4 threads)
memory use: 154.5 MB
linear algebra at 0.4%, ETA 0h 7m697721 dimensions (0.4%, ETA 0h 7m)    
linear algebra completed 697011 of 697721 dimensions (99.9%, ETA 0h 0m)    
lanczos halted after 11031 iterations (dim = 697487)
recovered 38 nontrivial dependencies
BLanczosTime: 497

commencing square root phase
reading relations for dependency 1
read 349614 cycles
cycles contain 882536 unique relations
read 882536 relations
multiplying 882536 relations
multiply complete, coefficients have about 29.18 million bits
initial square root is modulo 240019211
Newton iteration failed to converge
algebraic square root failed
reading relations for dependency 2
read 348786 cycles
cycles contain 881654 unique relations
read 881654 relations
multiplying 881654 relations
multiply complete, coefficients have about 29.15 million bits
initial square root is modulo 235400041
GCD is 1, no factor found
reading relations for dependency 3
read 348717 cycles
cycles contain 880514 unique relations
read 880514 relations
multiplying 880514 relations
multiply complete, coefficients have about 29.12 million bits
initial square root is modulo 229821601
GCD is 1, no factor found
reading relations for dependency 4
read 348482 cycles
cycles contain 880532 unique relations
read 880532 relations
multiplying 880532 relations
multiply complete, coefficients have about 29.12 million bits
initial square root is modulo 230118011
sqrtTime: 158
prp45 factor: 949144353624325440376001410577375375978814883
prp103 factor: 7443284907919028465924707807548173511764945050016169910818198185461325048000226757691114048862859652339
elapsed time 00:14:05

ggnfs, msieve

I7 4770K, Ubuntu 12.04

25035136271240386105346793719749891127416081109087696089877134896913985932583725587551829380751788269437388704372077043547341623423152468190380732887100280823247373761<167>

89177151216694919128342839012937<32>
280734873559781758253348251445739908956056985830730029555749391702366572037148720479831472201011105110825184173089405824194320945511353<135>

Input number is 25035136271240386105346793719749891127416081109087696089877134896913985932583725587551829380751788269437388704372077043547341623423152468190380732887100280823247373761 (167 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3668427895
Step 1 took 95844ms
Step 2 took 52172ms
********** Factor found in step 2: 89177151216694919128342839012937
Found probable prime factor of 32 digits: 89177151216694919128342839012937
Probable prime cofactor 280734873559781758253348251445739908956056985830730029555749391702366572037148720479831472201011105110825184173089405824194320945511353 has 135 digits

GMP-ECM 6.1.2

Pentium 4 2.26GHz, Windows XP

2817973031998083778338241303030729995913939103602778521409550110605441505924788299775971143956152339622109816409056965324841841263579107547940766206867400278979330167810294055485889<181>

1629098585915315381840811732409037<34>

1729774401844928654956193898363519632991312797796196776125859358920365912442809486382638218734874672877056576604898068320294799461787530626132748997<148>

Input number is 2817973031998083778338241303030729995913939103602778521409550110605441505924788299775971143956152339622109816409056965324841841263579107547940766206867400278979330167810294055485889 (181 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3484509631
Step 1 took 94671ms
Step 2 took 56094ms
********** Factor found in step 2: 1629098585915315381840811732409037
Found probable prime factor of 34 digits: 1629098585915315381840811732409037
Composite cofactor 1729774401844928654956193898363519632991312797796196776125859358920365912442809486382638218734874672877056576604898068320294799461787530626132748997 has 148 digits

GMP-ECM 6.1.2

Pentium 4 2.26GHz, Windows XP

1729774401844928654956193898363519632991312797796196776125859358920365912442809486382638218734874672877056576604898068320294799461787530626132748997<148>

139703661574531915433064323942224155484964759896391<51>
12381739908242089010679916203955564903195102834643116757540557250087725658757062968789736160958867<98>

m: 10^37
c5: 2
c0: -3
skew: 1.1
lpbr = lpba = 900000
lpbr = lpba = 27
mfbr = mfba = 48
rlambda = alambda = 2.5
qintsize: 100000

Relations found : 170756, 419697, 777621, 1242560, 1803069
Initial matrix : 1205114 x 1803069
Pruned matrix : 681641 x 687730
Total time : 36 days 9 hours or so (using severals computers)

Factors :
p51 = 139703661574531915433064323942224155484964759896391
p98 = 12381739908242089010679916203955564903195102834643116757540557250087725658757062968789736160958867

GGNFS 0.77.1

Windows 7, CPU AMD Athlon 2.7 GHz and Intel I5 for matrix step

105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263<186>

536702269647034089326974744111747439562722018687<48>
196129518818625224605331844109132005572907239230106882174824783188659356706656419547350123734666037979415918599396117880712943463613520849<138>

N=105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263
  ( 186 digits)

SNFS difficulty: 186 digits.

Divisors found:

 r1=536702269647034089326974744111747439562722018687 (pp48)

 r2=196129518818625224605331844109132005572907239230106882174824783188659356706656419547350123734666037979415918599396117880712943463613520849 (pp138)

Version: GGNFS-0.77.1-20060513-prescott

Total time: 867.04 hours.

Scaled time: 1474.84 units (timescale=1.701).

Factorization parameters were as follows:

n: 105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263
m: 10000000000000000000000000000000000000
c5: 20
c0: -3
skew: 0.68
type: snfs



Factor base limits: 7400000/7400000

Large primes per side: 3

Large prime bits: 27/27

Max factor residue bits: 48/48

Sieved algebraic special-q in [3700000, 15800001)

Primes: RFBsize:501962, AFBsize:502546, largePrimes:6966429 encountered

Relations: rels:7485469, finalFF:1145980

Max relations in full relation-set: 28

Initial matrix: 1004574 x 1145980 with sparse part having weight 110867418.

Pruned matrix : 897006 x 902092 with weight 92492864.

Total sieving time: 843.59 hours.

Total relation processing time: 0.23 hours.

Matrix solve time: 22.90 hours.

Time per square root: 0.32 hours.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000

total time: 867.04 hours.

1887485920677451569385931886749143379544007181999442316048681549517248111959606739775420747416378434975475223959521590755572777950199669061827441903726249685975546308661154520293<178>

30188495243559431954129076808724172422794849359392479901419669<62>
62523352205841974641767247686152369037786705686420794585068971430543609011985992247691266480187863785691927767719697<116>

Number: n
N=1887485920677451569385931886749143379544007181999442316048681549517248111959606739775420747416378434975475223959521590755572777950199669061827441903726249685975546308661154520293
  ( 178 digits)
SNFS difficulty: 187 digits.
Divisors found:

Sun Feb  5 12:31:43 2012  prp62 factor: 30188495243559431954129076808724172422794849359392479901419669
Sun Feb  5 12:31:43 2012  prp116 factor: 62523352205841974641767247686152369037786705686420794585068971430543609011985992247691266480187863785691927767719697
Sun Feb  5 12:31:43 2012  elapsed time 02:42:36 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.658).
Factorization parameters were as follows:
name: KA_19997_187
n: 1887485920677451569385931886749143379544007181999442316048681549517248111959606739775420747416378434975475223959521590755572777950199669061827441903726249685975546308661154520293
m: 10000000000000000000000000000000000000
#  c178, diff: 187.3
skew: 0.43
deg: 5
c5: 200
c0: -3
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7161811 hash collisions in 78476112 relations (73985314 unique)
Msieve: matrix is 1201487 x 1201735 (335.4 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

1999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<190>

26515433818872756128486451063540368813<38>

75427768357931602931753276660580155235389614555331854484100658108640121572138298453489837951680283043601403057326275895068893330216499198205413743316369<152>

GMP-ECM 6.1.2 [powered by GMP 4.2.1] [ECM]
Input number is 1999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997 (190 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1799138545
Step 1 took 106653ms
Step 2 took 53427ms
********** Factor found in step 2: 26515433818872756128486451063540368813
Found probable prime factor of 38 digits: 26515433818872756128486451063540368813
Composite cofactor 75427768357931602931753276660580155235389614555331854484100658108640121572138298453489837951680283043601403057326275895068893330216499198205413743316369 has 152 digits

Pentium 4 2.4GHz

75427768357931602931753276660580155235389614555331854484100658108640121572138298453489837951680283043601403057326275895068893330216499198205413743316369<152>

31618164809434211754592287712179187<35>

2385583376282025837302025573831625807718996619292106854661488654167073439506823897959332181406320971559780911666433387<118>

Input number is 75427768357931602931753276660580155235389614555331854484100658108640121572138298453489837951680283043601403057326275895068893330216499198205413743316369 (152 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2083112402
Step 1 took 65661ms
Step 2 took 28751ms
********** Factor found in step 2: 31618164809434211754592287712179187
Found probable prime factor of 35 digits: 31618164809434211754592287712179187
Composite cofactor 2385583376282025837302025573831625807718996619292106854661488654167073439506823897959332181406320971559780911666433387 has 118 digits

GMP-ECM 6.1.3

Sempron 3400+ 1.80GHz, Windows Vista

2385583376282025837302025573831625807718996619292106854661488654167073439506823897959332181406320971559780911666433387<118>

484578537409999154675042390540664390207331844965054363441<57>
4923006679232260879844150105623901082760825132994000095977307<61>

Number: 19997_189
N=2385583376282025837302025573831625807718996619292106854661488654167073439506823897959332181406320971559780911666433387
  ( 118 digits)
Divisors found:
 r1=484578537409999154675042390540664390207331844965054363441 (pp57)
 r2=4923006679232260879844150105623901082760825132994000095977307 (pp61)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 89.74 hours.
Scaled time: 60.75 units (timescale=0.677).
Factorization parameters were as follows:
name: 19997_189
n: 2385583376282025837302025573831625807718996619292106854661488654167073439506823897959332181406320971559780911666433387
skew: 144660.76
# norm 2.74e+16
c5: 9120
c4: -1709436956
c3: -853334330700080
c2: 38221101292867669503
c1: 5419411001140512770228250
c0: -113915253989648848942977150816
# alpha -6.21
Y1: 86650737107
Y0: -48252518012964347678477
# Murphy_E 3.65e-10
# M 654987332633075895838719954518597211946085969700968706963931960289336573203282116904651285610709249461397952456672945
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2250000, 4110001)
Primes: RFBsize:315948, AFBsize:315530, largePrimes:7677981 encountered
Relations: rels:7786564, finalFF:780897
Max relations in full relation-set: 28
Initial matrix: 631557 x 780897 with sparse part having weight 63899163.
Pruned matrix : 505956 x 509177 with weight 39093412.
Total sieving time: 75.32 hours.
Total relation processing time: 0.76 hours.
Matrix solve time: 13.18 hours.
Time per square root: 0.48 hours.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000
total time: 89.74 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

18725011712219814562530479034837840702529034807249997949068275863786847663649064207303543066082563170428265771787<113>

49371617551587041843675930397116659530937545163<47>
379266725313477244975216442892897216971059794842475211319820147649<66>

Number: 19997_191
N=18725011712219814562530479034837840702529034807249997949068275863786847663649064207303543066082563170428265771787
  ( 113 digits)
Divisors found:
 r1=49371617551587041843675930397116659530937545163 (pp47)
 r2=379266725313477244975216442892897216971059794842475211319820147649 (pp66)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 56.52 hours.
Scaled time: 38.15 units (timescale=0.675).
Factorization parameters were as follows:
name: 19997_191
n: 18725011712219814562530479034837840702529034807249997949068275863786847663649064207303543066082563170428265771787
skew: 59546.05
# norm 6.66e+15
c5: 10560
c4: -2374857106
c3: -195238124648465
c2: 1713791335976812382
c1: 286960883326780791878154
c0: -869102931125208602582566965
# alpha -6.63
Y1: 1066141682921
Y0: -4464330115947638126804
# Murphy_E 7.39e-10
# M 15931944624871609380286614016751846664857168747787310376807033596899975510455931096032109076919995223638073753024
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2750001)
Primes: RFBsize:250150, AFBsize:249696, largePrimes:7656920 encountered
Relations: rels:7706870, finalFF:571600
Max relations in full relation-set: 0
Initial matrix: 499929 x 571600 with sparse part having weight 34433582.
Pruned matrix : 435540 x 438103 with weight 23881885.
Polynomial selection time: 2.15 hours.
Total sieving time: 46.66 hours.
Total relation processing time: 0.59 hours.
Matrix solve time: 6.79 hours.
Time per square root: 0.33 hours.
Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 56.52 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin

319335249453774412030453768451900321122872125129744012335039633714538880913523513879850867231854992025457259100307287333054414635105522672220090535899<150>

20109277369861359866129287899115275654274037323316659944356086841136043<71>
15879996261445769537267415871328221599257192124173107438617771634920532105397393<80>

type : snfs
poly : x^5 - 150, m = 10^39
skew = 4.5

rlim = alim = 13000000
lpbr = lpba = 28
mfbr = mfba = 48
rlambda = alambda = 2.5

initiale matrix : 1698714 x 2020317
pruned matrix : 1403518 x 1412075

factors found
p71 = 20109277369861359866129287899115275654274037323316659944356086841136043
p80 = 15879996261445769537267415871328221599257192124173107438617771634920532105397393

time : 35 d 17 h or so

ggnfs-0.77.1

AMD Athlon II 2.76 GHz and Intel core I5 3.2 GHz for matrix step

28653899071291502788707083019206896873843843068015878413618962917713759131869582256565628826725265097975622464840884985405096220178881163844240063242952528237607837727985173491<176>

743736208082687143669590291734775986453<39>

38526965286737549928306431598141581666471437481574464268549811694224826110208656442084608802198170894731790856082985088238586915854793447<137>

GMP-ECM 6.4.4 [configured with MPIR 2.6.0] [ECM]
Input number is (2*10^195-3)/(244507*13390259*21318959) (176 digits)
Using B1=31000000, B2=144289975846, polynomial Dickson(12), sigma=3221168759
Step 1 took 172329ms
Step 2 took 57390ms
********** Factor found in step 2: 743736208082687143669590291734775986453
Found probable prime factor of 39 digits: 743736208082687143669590291734775986453
Composite cofactor ((2*10^195-3)/(244507*13390259*21318959))/743736208082687143669590291734775986453 has 137 digits

38526965286737549928306431598141581666471437481574464268549811694224826110208656442084608802198170894731790856082985088238586915854793447<137>

104315733950970586524012852330913828153019542073<48>
369330338075803596253764802097004029292538219506122378093453932829357363544017147256606239<90>

GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 38526965286737549928306431598141581666471437481574464268549811694224826110208656442084608802198170894731790856082985088238586915854793447 (137 digits)
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2038085867
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
55      246     1286    7557    49831   361851  2844041 2.4e+007        2.2e+008        2.2e+009
Step 1 took 238058ms
Using 18 small primes for NTT
Estimated memory usage: 209M
Initializing tables of differences for F took 78ms
Computing roots of F took 4321ms
Building F from its roots took 4290ms
Computing 1/F took 1747ms
Initializing table of differences for G took 62ms
Computing roots of G took 3651ms
Building G from its roots took 4695ms
Computing roots of G took 3104ms
Building G from its roots took 4384ms
Computing G * H took 1030ms
Reducing  G * H mod F took 1107ms
Computing roots of G took 3651ms
Building G from its roots took 4992ms
Computing G * H took 1014ms
Reducing  G * H mod F took 1154ms
Computing roots of G took 3464ms
Building G from its roots took 4805ms
Computing G * H took 998ms
Reducing  G * H mod F took 1170ms
Computing roots of G took 3432ms
Building G from its roots took 4977ms
Computing G * H took 889ms
Reducing  G * H mod F took 1154ms
Computing polyeval(F,G) took 8767ms
Computing product of all F(g_i) took 47ms
Step 2 took 69373ms
********** Factor found in step 2: 104315733950970586524012852330913828153019542073
Found probable prime factor of 48 digits: 104315733950970586524012852330913828153019542073
Probable prime cofactor 369330338075803596253764802097004029292538219506122378093453932829357363544017147256606239 has 90 digits

18357727236410160891208283652640137365440641424685222037060969828800623678702889344332756346452051414713297588937163937352473192811334240301262000486561476130665161<164>

31938754629629412334116767753621039<35>
574779056018038826079818762673364437285959587892423580463959074733449809079414441607465440021641387381279266470818308397711345799<129>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2184269901
Step 1 took 11493ms
********** Factor found in step 1: 31938754629629412334116767753621039
Found probable prime factor of 35 digits: 31938754629629412334116767753621039
Probable prime cofactor has 129 digits

124766063630692451653150343106674984404242046163443543356207111665626949469744229569557080474111041796631316281971303805364940736119775421085464753587024329382407985028072364316905801621958827199<195>

45003138917615480291651707486311828111477830485732830843961796036510537<71>
2772385807556537886278044630282889688258769602192237958344592362510261040148261536809278151720138041797820440202530552797127<124>

Number: 19997_197
N=124766063630692451653150343106674984404242046163443543356207111665626949469744229569557080474111041796631316281971303805364940736119775421085464753587024329382407985028072364316905801621958827199
  ( 195 digits)
SNFS difficulty: 197 digits.
Divisors found:
 r1=45003138917615480291651707486311828111477830485732830843961796036510537
 r2=2772385807556537886278044630282889688258769602192237958344592362510261040148261536809278151720138041797820440202530552797127
Version: 
Total time: 744.51 hours.
Scaled time: 1495.72 units (timescale=2.009).
Factorization parameters were as follows:
n: 124766063630692451653150343106674984404242046163443543356207111665626949469744229569557080474111041796631316281971303805364940736119775421085464753587024329382407985028072364316905801621958827199
m: 2000000000000000000000000000000000000000
deg: 5
c5: 25
c0: -12
skew: 0.86
type: snfs
lss: 1
rlim: 13900000
alim: 13900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13900000/13900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6950000, 14750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2364522 x 2364770
Total sieving time: 744.51 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13900000,13900000,28,28,55,55,2.5,2.5,100000
total time: 744.51 hours.
 --------- CPU info (if available) ----------

51059484299208577993362267041102884860862905284656624968087822312994638754148583099310696961960684197089609394945111054378350778657135562930814398774572376818994128159305591013530763339290273168241<197>

1353143889460780219324261867805948229627354629623799<52>
107421636386525513520653234479254640339061189356540018700131<60>
351269691736020689086731151005390507435230742784114223916529804772069637453814458555389<87>

N=51059484299208577993362267041102884860862905284656624968087822312994638754148583099310696961960684197089609394945111054378350778657135562930814398774572376818994128159305591013530763339290273168241
  ( 197 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=1353143889460780219324261867805948229627354629623799 (pp52)
 r2=107421636386525513520653234479254640339061189356540018700131 (pp60)
 r3=351269691736020689086731151005390507435230742784114223916529804772069637453814458555389 (pp87)
Version: GGNFS-0.77.1-20060722-nocona

2199248562019295866068409196439760505625449553378514703696699513774931359663039532788708224684486753353328267437847<115>

528126000972790728968470866043825834467716739660461803<54>
4164249739585538917398930980470076259326101657554702883036549<61>

Divisors found:
 r1=528126000972790728968470866043825834467716739660461803 (pp54)
 r2=4164249739585538917398930980470076259326101657554702883036549 (pp61)
Version: Msieve v. 1.50 (SVN 692M)
Total time: 12.02 hours.
Scaled time: 28.85 units (timescale=2.400).
Factorization parameters were as follows:
n: 2199248562019295866068409196439760505625449553378514703696699513774931359663039532788708224684486753353328267437847
type: gnfs
skew: 95950.23
Y0: -17552527330157451749743
Y1: 268522083851
c0: 6231895418697847964628390000
c1: -148496579823757754121630
c2: -5297157556102791908
c3: 45384315594221
c4: 416398422
c5: 1320
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [1750000, 2750001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 440428 x 440653
Total sieving time: 11.59 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,52,52,2.6,2.6,100000
total time: 12.02 hours.

7443245254931149981391886862672125046520282843319687383699292891700781540751767770748046148120580573129884629698548567175288425753628582061778935615928544845552660960178637886118347599553405284704131<199>

1286118856404691291274116008107231186761<40>

5787369664836833617381021192131594268015645587222814679138135749400770833415800209223647836488648381886886971547561522539348164267061956558592870137249628888171<160>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2794283874
Step 1 took 96370ms
********** Factor found in step 1: 1286118856404691291274116008107231186761
Found probable prime factor of 40 digits: 1286118856404691291274116008107231186761

5787369664836833617381021192131594268015645587222814679138135749400770833415800209223647836488648381886886971547561522539348164267061956558592870137249628888171<160>

2780515859109026832236584143859145667662527218403<49>
2081401422645115369456090784167537704003577106194759621453099527001888374779759963817274474701825040622177226457<112>

GMP-ECM 6.4.4 [configured with MPIR 2.6.0] [ECM]
Input number is (2*10^202-3)/(2687*1286118856404691291274116008107231186761) (160 digits)
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1813913304
Step 1 took 183125ms
Step 2 took 69328ms
********** Factor found in step 2: 2780515859109026832236584143859145667662527218403
Found probable prime factor of 49 digits: 2780515859109026832236584143859145667662527218403
Probable prime cofactor ((2*10^202-3)/(2687*1286118856404691291274116008107231186761))/2780515859109026832236584143859145667662527218403 has 112 digits

886516578222201642593123222841515918462785517545864277908653457329916675169105359613354765118136262127983482641153718072414020845231804751507732822048539397659887923538695461663523794543<186>

140685106870842532685031908357284198649941034518366709<54>
6301424492900145219867609089078641919645710375423409614206430063970870521976381947923549474467373257873420784859492299362299971052627<133>

Poly : X^5 - 15 ; m = 10^41
skew = 1.4

rlim = alim = 15000000
lpbr = lpba = 28
mfbr = mfba = 48
rlambda = alambda = 2.5

Initial matrix : 1939983 x 2212779
Pruned matrix : 1705928 x 1715691

p54 = 140685106870842532685031908357284198649941034518366709
p133 = 6301424492900145219867609089078641919645710375423409614206430063970870521976381947923549474467373257873420784859492299362299971052627

total time : 131 days or so (15.5 hours for solving matrix)

ggnfs

AMD Athlon (2.7 GHz) and Intel Core I5 (3.2 GHz) for matrix step

68604592099895047044801733223187433847904967591331262786205279739605876771349738020633636055951237948192435804922757779575463199483479929112860233872334030062104651903224742801478117704924803<191>

12136140534072956083241771398008840211<38>
5652916749545167419191251118000517475760547648759017048454178097764885983706691057325413197766325009297748082762047461602479973525568694287834799702955473<154>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3889039905
Step 1 took 10592ms
Step 2 took 3307ms
********** Factor found in step 2: 12136140534072956083241771398008840211
Found probable prime factor of 38 digits: 12136140534072956083241771398008840211
Probable prime cofactor 5652916749545167419191251118000517475760547648759017048454178097764885983706691057325413197766325009297748082762047461602479973525568694287834799702955473 has 154 digits

GMP-ECM 6.3

10282784304857430973822753646772128897086659634381222734038169915063194088398900853278800342057513166400274832210155189925733138517974320283924229816451077992824911134876738214821435262236997842821<197>

291799702173136020939069491735220962421077563709<48>
35239187114578541741201968120745137644946294002797513127468597678667398934978928558682450344377180113264624660722314565435358660213840007905705864169<149>

GMP-ECM 6.4.4 [configured with MPIR 2.6.0] [ECM]
Input number is (2*10^208-3)/(1944998495257) (197 digits)
Using B1=31000000, B2=144289975846, polynomial Dickson(12), sigma=2691666871
Step 1 took 183218ms
Step 2 took 61860ms
********** Factor found in step 2: 291799702173136020939069491735220962421077563709
Found probable prime factor of 48 digits: 291799702173136020939069491735220962421077563709
Probable prime cofactor ((2*10^208-3)/(1944998495257))/291799702173136020939069491735220962421077563709 has 149 digits

322224084569415050950929742839037723964890981010576575391091770701965416182295835059837788505848148216039617805904472858216007663276852832991078924361475360671952644115280525321839623<183>

216476718990863191268366351763019768602286901740821957203797639939457538751528412813<84>
1488493017039006060259013100406322855927900571033623141732446133972774266134567864230312704147622371<100>

Polynomial : 2 X^5 - 3 ; m = 10^42
skew = 1.5
rlim = alim = 24000000
lpbr = lpba = 28
mfbr = mfba = 49
rlambda = alambda = 2.5

Initial matrix : 3013611 x 3767715
Pruned matrice : 2305377 x 2320509

total time : 212 days or so

p84 = 216476718990863191268366351763019768602286901740821957203797639939457538751528412813
p100 = 1488493017039006060259013100406322855927900571033623141732446133972774266134567864230312704147622371

GGNFS-0.77.1

AMD Athlon 2,7 GHz and Intel Core I5 3.2 GHz for matrix step
Windows 7

70312468869244633892327201257422001207086583313676787125518980487013024939289337014054964010096893043881193328441807836998164691446598052567285517801281863062892057846581271305699733824207<188>

4137850287714964002255483317<28>

16992511565243974670480334321911960841060790584193909195079455673835062295569930264417304175706717361703953684447927586606038645255464558519167307744888067581171<161>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2670884894
Step 1 took 10530ms
Step 2 took 6521ms
********** Factor found in step 2: 4137850287714964002255483317
Found probable prime factor of 28 digits: 4137850287714964002255483317
Composite cofactor 16992511565243974670480334321911960841060790584193909195079455673835062295569930264417304175706717361703953684447927586606038645255464558519167307744888067581171 has 161 digits

GMP-ECM 6.3

22442039344660275273563805108920025990253604606334175908611698386449455175337805663849157230340519558755968552863210634261303249363838515929959616037195723522774375728572087<173>

16573557450808921394702445866682490435373<41>
1354087039627387015629520934236415639652525807350845254173139862336319489419098973215358639972444189828145528755691094778191501100019<133>

Run 56 out of 144:
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3773457760
Step 1 took 196339ms
Step 2 took 52763ms
********** Factor found in step 2: 16573557450808921394702445866682490435373
Found probable prime factor of 41 digits: 16573557450808921394702445866682490435373
Probable prime cofactor 1354087039627387015629520934236415639652525807350845254173139862336319489419098973215358639972444189828145528755691094778191501100019 has 133 digits

GMP-ECM 6.4.4

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

117968050144727205983652496171207877713770432606505006383586517513725502858445100044424921484519500792669885896511807343719724412339493600708779366669934572370690010914730181048811268332073744912066235859919<207>

2910507616008323182620422640409<31>
40531778544705190212735174877324153539405441771687422624638654660072981567240113163074487282968284172984079615158535343400813277330934513509844537498117133436197724550511940391<176>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1064297704
Step 1 took 12044ms
Step 2 took 7285ms
********** Factor found in step 2: 2910507616008323182620422640409
Found probable prime factor of 31 digits: 2910507616008323182620422640409
Probable prime cofactor 40531778544705190212735174877324153539405441771687422624638654660072981567240113163074487282968284172984079615158535343400813277330934513509844537498117133436197724550511940391 has 176 digits

GMP-ECM 6.3

3363383282512695799222078560219175047739862587224282285698409131202304331408178502023710002317497563659120661737160294018519485940952040765134019074051428591850884004824217066679587380706599415989157<199>

25884187118886627570188936282803752437<38>
129939691251056257585854080456075821226542331569765499285669669469695179299614825855139930860630285430925582622277057328763775322370571875539673558067526851256561<162>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1838680297
Step 1 took 37960ms
Step 2 took 12601ms
********** Factor found in step 2: 25884187118886627570188936282803752437
Found probable prime factor of 38 digits: 25884187118886627570188936282803752437

612178017516837488934098762729224315230193379397184356602810229276805444938461475203343182230619125485835287156825104070834618123361292173871411839995512813190287625915339487994089397<183>

7568036488199757464802538542254077648254997719898712673517278307888025141491921<79>
80889940009057620123601600289426273447568190930562694678500558208324044969147987945245851337681806401957<104>

Number: 19997_219
N = 612178017516837488934098762729224315230193379397184356602810229276805444938461475203343182230619125485835287156825104070834618123361292173871411839995512813190287625915339487994089397 (183 digits)
SNFS difficulty: 220 digits.
Divisors found:
r1=7568036488199757464802538542254077648254997719898712673517278307888025141491921 (pp79)
r2=80889940009057620123601600289426273447568190930562694678500558208324044969147987945245851337681806401957 (pp104)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 54.88 hours.
Factorization parameters were as follows:
n: 612178017516837488934098762729224315230193379397184356602810229276805444938461475203343182230619125485835287156825104070834618123361292173871411839995512813190287625915339487994089397
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1
c0: -15
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
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 6874980 relations
Pruned matrix : 6076085 x 6076310
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 28.68 hours.
Total relation processing time: 0.34 hours.
Matrix solve time: 25.69 hours.
time per square root: 0.16 hours.
Prototype def-par.txt line would be: snfs,220,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 54.88 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

155691944878389481926438487960262742328830709442378048940391333327790770759478042385081965854284201197540901833495027881411219920231317447571676212249272483767941360300162316757941312101638946311<195>

1093195252192820855480896364896883590792054610547108231481<58>
142419155741931541502352074328560316872819280063009868719458268747322875607841683008468892966156486946868449245166237025278822501902938431<138>

Number: 19997_220
N = 155691944878389481926438487960262742328830709442378048940391333327790770759478042385081965854284201197540901833495027881411219920231317447571676212249272483767941360300162316757941312101638946311 (195 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=1093195252192820855480896364896883590792054610547108231481 (pp58)
r2=142419155741931541502352074328560316872819280063009868719458268747322875607841683008468892966156486946868449245166237025278822501902938431 (pp138)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 67.50 hours.
Factorization parameters were as follows:
n: 155691944878389481926438487960262742328830709442378048940391333327790770759478042385081965854284201197540901833495027881411219920231317447571676212249272483767941360300162316757941312101638946311
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 2
c0: -3
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Relations: 7153650 relations
Pruned matrix : 6334946 x 6335171
Total pre-computation time approximately 300 CPU-days.
Pre-computation saved approximately 8 G relations.
Total batch smoothness checking time: 31.06 hours.
Total relation processing time: 0.38 hours.
Matrix solve time: 35.69 hours.
time per square root: 0.37 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 67.50 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

864851799418422793265401590039160697459491160602164273919471728602881673909382122547006246368162669697834126875889169699431587969529990783687049118541876764041560320347<168>

241619328035925606722501134108501<33>

3579398247849736340256448033734328363473633919311696558065797117428601192231744021657761466391971589336032904332131539242168355400420847<136>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=94495171
Step 1 took 7616ms
Step 2 took 232ms
********** Factor found in step 2: 241619328035925606722501134108501
Found probable prime factor of 33 digits: 241619328035925606722501134108501
Composite cofactor 357939824784... has 136 digits

3579398247849736340256448033734328363473633919311696558065797117428601192231744021657761466391971589336032904332131539242168355400420847<136>

37413757886714725965227431884969469<35>
95670642299226163546762340341664550405770980540443502690029188500915750910687455763134951331378364763<101>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4282848356
Step 1 took 49863ms
Step 2 took 19179ms
********** Factor found in step 2: 37413757886714725965227431884969469
Found probable prime factor of 35 digits: 37413757886714725965227431884969469

6119860626704276240280315056280079478876747737165981069634647109723774017041370621718945576595057413029933364479280884900887432144468430548231377545327070845491937580346912898808747881998231975428641<199>

978728356313958430829615646832739683<36>
6252869437391814122052799169952806939273207108486827795864632042891471294059259078651259804184060010774901420080747252835190709632657674182572598925826731107648427<163>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1149006562
Step 1 took 10499ms
Step 2 took 6240ms
********** Factor found in step 2: 978728356313958430829615646832739683
Found probable prime factor of 36 digits: 978728356313958430829615646832739683
Probable prime cofactor 6252869437391814122052799169952806939273207108486827795864632042891471294059259078651259804184060010774901420080747252835190709632657674182572598925826731107648427 has 163 digits

GMP-ECM 6.3

248745660147542203124038710979969252637555449343690409218566008688413908621833015944826060242523617255926304484773469590156376512644745698960082147252970755876693641739387747885243428840951923218982867<201>

5392953854619515252846337782534535819626207840668845943518683751642135746615590117389104368425644531782713944698708495265541068476045237250138791822499337258823554260273223435819552120099293337047<196>

154999085402938384453964464757<30>

34793455978142685883877262829658856324548496048339907554240034583128720613558147933217131407027831278617757814592851778124447573028936138214214072456457467575433794971<167>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=4282495943
Step 1 took 9972ms
********** Factor found in step 1: 154999085402938384453964464757
Found probable prime factor of 30 digits: 154999085402938384453964464757
Composite cofactor 347934559781... has 167 digits

67611338002552546127392179575493977635760462579287718135284965268891051471050761131857949696508399018805155441596831603429104143720932434163896544616618758342504113741551637646626818579095988054978068867<203>

566288857423373850757043983660903074101<39>

119393728335368540733632704330396233070108167002003889351867876714313638374393159864734343691768137335849709877113582025770971167156737717665422789546866086479294167<165>

GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is (2*10^226-3)/(715302283*413543171389277) (203 digits)
Using B1=31000000, B2=144289975846, polynomial Dickson(12), sigma=3901615186
Step 1 took 207469ms
Step 2 took 54656ms
********** Factor found in step 2: 566288857423373850757043983660903074101
Found probable prime factor of 39 digits: 566288857423373850757043983660903074101
Composite cofactor ((2*10^226-3)/(715302283*413543171389277))/566288857423373850757043983660903074101 has 165 digits

4423799068577132352114676799351884203052082265184296881671819624603069622625585256024654395540758856990182934726373579308770430506501708368961630934003088480449831386363317953183983422672595530888746557<202>

1999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<229>

30024793619132174850277464564778651507316792514085739591903<59>
66611615232738017233459031912125913300592791455653574653177420920604728345450464912272323878517748044003059617270700190371105657873121766992882166994527173620303402907299<170>

N=1999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997
  ( 229 digits)
SNFS difficulty: 228 digits.
Divisors found:
 r1=30024793619132174850277464564778651507316792514085739591903 (pp59)
 r2=66611615232738017233459031912125913300592791455653574653177420920604728345450464912272323878517748044003059617270700190371105657873121766992882166994527173620303402907299 (pp170)
Version: Msieve v. 1.51 (SVN Unversioned directory)
Total time:
Scaled time: 2023.20 units (timescale=1.820).
Factorization parameters were as follows:
n: 1999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997
m: 100000000000000000000000000000000000000
deg: 6
c6: 2
c0: -3
skew: 1.07
# Murphy_E = 1.682e-12
type: snfs
lss: 1
rlim: 45000000
alim: 45000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
qintsize: 3200000
Factor base limits: 45000000/45000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved rational special-q in [22500000, 51300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 5266609 x 5266835
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,228.000,6,0,0,0,0,0,0,0,0,45000000,45000000,30,30,59,59,2.7,2.7,100000
total time:

1489327975265776240478200292438342736960169402801434410909470092078096644853145382390004295680394413603095422313816514520970901813550041708064537982499265470460270955518590038475585210060876249751571<199>

15723168553375221829200343382865377<35>

94721873025145997493042479361746970174133102569682382554451002077964813297091675620200571259203696498970994990409586320526309850706021536012408231522622691124292723<164>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=507080934
Step 1 took 11778ms
********** Factor found in step 1: 15723168553375221829200343382865377
Found probable prime factor of 35 digits: 15723168553375221829200343382865377
Composite cofactor 94721873025145997493042479361746970174133102569682382554451002077964813297091675620200571259203696498970994990409586320526309850706021536012408231522622691124292723 has 164 digits

GMP-ECM 6.3

94721873025145997493042479361746970174133102569682382554451002077964813297091675620200571259203696498970994990409586320526309850706021536012408231522622691124292723<164>

1199770395300629225319403708129984293752952776407<49>
78950000263518187640272860705998846544103922010977238346908628322137751449139022317516133268444792474103845968027589<116>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 94721873025145997493042479361746970174133102569682382554451002077964813297091675620200571259203696498970994990409586320526309850706021536012408231522622691124292723 (164 digits)
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1:3574338020
Step 1 took 261336ms
Step 2 took 90623ms
********** Factor found in step 2: 1199770395300629225319403708129984293752952776407
Found prime factor of 49 digits: 1199770395300629225319403708129984293752952776407
Prime cofactor 78950000263518187640272860705998846544103922010977238346908628322137751449139022317516133268444792474103845968027589 has 116 digits

Core i7-6700HQ @ 2.6 GHz, Debian sid amd64

6514657980456026058631921824104234527687296416938110749185667752442996742671009771986970684039087947882736156351791530944625407166123778501628664495114006514657980456026058631921824104234527687296416938110749185667752442996742671<229>

4048566612295796164682454096118141<34>

1609127032928278383432185469093756034263834801772365852277454313836512034679460200494397483469372453441502984450377178394409495339556229218063951321653338420095892340503658136546377936843101118331<196>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3858830021
Step 1 took 42272ms
Step 2 took 14481ms
********** Factor found in step 2: 4048566612295796164682454096118141
Found probable prime factor of 34 digits: 4048566612295796164682454096118141

141867226474763641505409835376894520295247888866573734174793648745902438605154980565659719430193349029001981308085104629963539533638635267326808921287428168916841025323053660748126869215165489715473244124017<207>

66570544503627181374950291779027855817276209770518170892290192839378550524509839917137718749854923853303324977429466637177650118531135416633390393308956737613506043938408034291698747126368641823348070324668454363<212>

167245780442492686356138013925837013628138863341525327375940688386873677419208573931051766930427829205987966739589147554365614283471381992468097877870642756694045130091847941<174>

22175968306220208960748769000321207326501581819751681990560904505475029455055996021539134958356112736546987477720710867843383803391181963962875312761484606555595847771443887942023738360489683260050558128274560829991811879839<224>

12009433880612342732232668072083<32>

1846545684557238274338585831874252851162872011326900147337546617864258830237046956226636320724307725615775812161224970918547192001893303849077963458482385885620137330679903272652743150571121733<193>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=1425505102
Step 1 took 11324ms
Step 2 took 7809ms
********** Factor found in step 2: 12009433880612342732232668072083
Found probable prime factor of 32 digits: 12009433880612342732232668072083
Composite cofactor 184654568455... has 193 digits

19999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<239>

182625022220087371143591593339304445360223017057<48>
109514018160651324327565047578203270952101063830848128477945755505097846999465106685854013654831490985344114585966360642253466266709908477967918221633463160416022624941797865806219713631067421<192>

GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 19999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997 (239 digits)
[Mon May 13 04:09:17 2013]
Using MODMULN
Using B1=260000000, B2=3178559884516, polynomial Dickson(30), sigma=2603045715
dF=262144, k=4, d=2852850, d2=17, i0=75
Expected number of curves to find a factor of n digits:
35   40      45      50      55      60      65      70      75      80
23      82      335     1521    7650    42057   250476  1603736 1.1e+007        7.9e+007
Step 1 took 2480571ms
Using 29 small primes for NTT
Estimated memory usage: 1524M
Initializing tables of differences for F took 749ms
Computing roots of F took 62384ms
Building F from its roots took 35132ms
Computing 1/F took 12574ms
Initializing table of differences for G took 921ms
Computing roots of G took 49046ms
Building G from its roots took 34695ms
Computing roots of G took 49062ms
Building G from its roots took 35209ms
Computing G * H took 7004ms
Reducing  G * H mod F took 6740ms
Computing roots of G took 49577ms
Building G from its roots took 35287ms
Computing G * H took 6723ms
Reducing  G * H mod F took 6381ms
Computing roots of G took 49904ms
Building G from its roots took 34804ms
Computing G * H took 6770ms
Reducing  G * H mod F took 6693ms
Computing polyeval(F,G) took 67486ms
Computing product of all F(g_i) took 234ms
Step 2 took 558734ms
********** Factor found in step 2: 182625022220087371143591593339304445360223017057
Found probable prime factor of 48 digits: 182625022220087371143591593339304445360223017057
Probable prime cofactor 109514018160651324327565047578203270952101063830848128477945755505097846999465106685854013654831490985344114585966360642253466266709908477967918221633463160416022624941797865806219713631067421 has 192 digits

GMP-ECM

38935125387474994516780892353916825324690722632526208333302290682321277749163391567700325064475501792601108791814260861158074264594573270931335594995469219716607407636193088267572510372790951685863703891240070686696779885620060219<230>

14429574209012955218314609277056076791822880398835975645935756998727414508856727628916392359154349199683133555330245242317140875628468346921022182213578852573595920398802544796599234335246731137350614446075228089583104817631<224>

3912235847573107784415740105626526759909539897<46>
3688319102224910120409783003352132108600535902817319617469615271955651778420527962675271095599373118666764611003201088080320885760512904480526182701847376772008225391540998200023<178>

GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is (2*10^240-3)/(19*29*331*759970766927) (224 digits)
Using B1=31000000, B2=144289975846, polynomial Dickson(12), sigma=302713406
Step 1 took 199984ms
Step 2 took 51454ms
********** Factor found in step 2: 3912235847573107784415740105626526759909539897
Found probable prime factor of 46 digits: 3912235847573107784415740105626526759909539897
Probable prime cofactor ((2*10^240-3)/(19*29*331*759970766927))/3912235847573107784415740105626526759909539897 has 178 digits

198664620301761653106889842554469564608374229369191465354772533910052847148282809367746791418778008361066654407325188163532385488799022931502978436012562951902758343695792301867452024324355129045157470628268758899519<216>

73901441137072418332779512185321135773494373183427742489862620482447194943213792591841128586442720653822869715660886512620598111797901342247230273277951785600185628873408747796734582661424743817514497628914074411948773933<221>

29100796087104314172844303552039698411532943713922247039666721107119090308958127596933310191889520326400257811351464117285064124808016412157244890170657513055447889544503124377121478076455075481412789<200>

4018188147321608814166257058786846795651439<43>
7242268161709137831838562067578609584103765069244908239810867011869962772676684716241524723306379828578647812941180366336085743532283673780680749391500634651<157>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3869965053
Step 1 took 18666ms
Step 2 took 7240ms
********** Factor found in step 2: 4018188147321608814166257058786846795651439
Found probable prime factor of 43 digits: 4018188147321608814166257058786846795651439
Probable prime cofactor 

12067808702612887022085261287633302370294826862255827464134105825297549121258219837276447398507997231324403977636371112074917782346648409459093093588910066738004508138834629686176174301649868309032887662377848649997600699392411735374821297<239>

4714527478402038919967199707683966951516549715539<49>
2559706939432920451995953701921284123256065456017641462484593896869629642577358901907104349447523520566726806546964070472689316311495977821302524090699929187176128955830178935560243756790123<190>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=164522686
Step 1 took 715282ms
Step 2 took 159493ms
********** Factor found in step 2: 4714527478402038919967199707683966951516549715539
Found probable prime factor of 49 digits: 4714527478402038919967199707683966951516549715539

1636565331371973564705917390408958697248027460638929089683945534329693009475525617882358461293048933545123590974727455131353530037591659298288753927370492934568330151249993287037678914526683776734097866995750400961561<217>

114846824168515562082170992662117996584593<42>
14249983342775152511283974632504836471334466454461808407299643250350840001958502583079040166988647971950379495892735145673749228064136974691976078574148176892933556437766490377<176>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4069030243
Step 1 took 37901ms
Step 2 took 10418ms
********** Factor found in step 2: 114846824168515562082170992662117996584593
Found probable prime factor of 42 digits: 114846824168515562082170992662117996584593

1248992522419333499123698581448695344737478828512412668818384402522923885388667382015999632616504741999480776022576982484191250418094646922972356561479677<154>

35398075784179622916521906696479733393670830014750263436422121<62>
35284192565561508024030390211343094414091795183686072262274701000110461833906003225419797237<92>

Mon Dec  2 18:28:05 2024  
Mon Dec  2 18:28:05 2024  
Mon Dec  2 18:28:05 2024  Msieve v. 1.54 (SVN Unversioned directory)
Mon Dec  2 18:28:05 2024  random seeds: 9152a330 9a043510
Mon Dec  2 18:28:05 2024  MPI process 0 of 1
Mon Dec  2 18:28:05 2024  factoring 1248992522419333499123698581448695344737478828512412668818384402522923885388667382015999632616504741999480776022576982484191250418094646922972356561479677 (154 digits)
Mon Dec  2 18:28:05 2024  searching for 15-digit factors
Mon Dec  2 18:28:05 2024  commencing number field sieve (154-digit input)
Mon Dec  2 18:28:05 2024  R0: -600714680334192851855003084592
Mon Dec  2 18:28:05 2024  R1: 8069863913882154106853
Mon Dec  2 18:28:05 2024  A0: -210188426954025287234608185151910110
Mon Dec  2 18:28:05 2024  A1: 409533985532877202330182471857
Mon Dec  2 18:28:05 2024  A2: 2199555159078683059733690
Mon Dec  2 18:28:05 2024  A3: -861276578560079337
Mon Dec  2 18:28:05 2024  A4: -988275016332
Mon Dec  2 18:28:05 2024  A5: 45360
Mon Dec  2 18:28:05 2024  skew 1570425.19, size 7.771e-15, alpha -6.326, combined = 3.851e-12 rroots = 5
Mon Dec  2 18:28:05 2024  
Mon Dec  2 18:28:05 2024  commencing relation filtering
Mon Dec  2 18:28:05 2024  setting target matrix density to 130.0
Mon Dec  2 18:28:05 2024  estimated available RAM is 64046.8 MB
Mon Dec  2 18:28:05 2024  commencing duplicate removal, pass 1
Mon Dec  2 18:31:17 2024  found 2017348 hash collisions in 47929172 relations
Mon Dec  2 18:31:32 2024  commencing duplicate removal, pass 2
Mon Dec  2 18:31:41 2024  found 0 duplicates and 47929172 unique relations
Mon Dec  2 18:31:41 2024  memory use: 130.6 MB
Mon Dec  2 18:31:41 2024  reading ideals above 720000
Mon Dec  2 18:31:41 2024  commencing singleton removal, initial pass
Mon Dec  2 18:34:44 2024  memory use: 1378.0 MB
Mon Dec  2 18:34:45 2024  reading all ideals from disk
Mon Dec  2 18:34:45 2024  memory use: 1722.8 MB
Mon Dec  2 18:34:47 2024  keeping 45717364 ideals with weight <= 200, target excess is 250492
Mon Dec  2 18:34:50 2024  commencing in-memory singleton removal
Mon Dec  2 18:34:52 2024  begin with 47929172 relations and 45717364 unique ideals
Mon Dec  2 18:35:09 2024  reduce to 28966530 relations and 24640446 ideals in 14 passes
Mon Dec  2 18:35:09 2024  max relations containing the same ideal: 148
Mon Dec  2 18:35:18 2024  removing 4678620 relations and 3678620 ideals in 1000000 cliques
Mon Dec  2 18:35:19 2024  commencing in-memory singleton removal
Mon Dec  2 18:35:19 2024  begin with 24287910 relations and 24640446 unique ideals
Mon Dec  2 18:35:27 2024  reduce to 23706580 relations and 20356094 ideals in 8 passes
Mon Dec  2 18:35:27 2024  max relations containing the same ideal: 132
Mon Dec  2 18:35:34 2024  removing 3689292 relations and 2689292 ideals in 1000000 cliques
Mon Dec  2 18:35:34 2024  commencing in-memory singleton removal
Mon Dec  2 18:35:35 2024  begin with 20017288 relations and 20356094 unique ideals
Mon Dec  2 18:35:41 2024  reduce to 19585174 relations and 17217112 ideals in 8 passes
Mon Dec  2 18:35:41 2024  max relations containing the same ideal: 115
Mon Dec  2 18:35:47 2024  removing 3416244 relations and 2416244 ideals in 1000000 cliques
Mon Dec  2 18:35:48 2024  commencing in-memory singleton removal
Mon Dec  2 18:35:48 2024  begin with 16168930 relations and 17217112 unique ideals
Mon Dec  2 18:35:53 2024  reduce to 15744079 relations and 14356064 ideals in 8 passes
Mon Dec  2 18:35:53 2024  max relations containing the same ideal: 99
Mon Dec  2 18:35:58 2024  removing 3282333 relations and 2282333 ideals in 1000000 cliques
Mon Dec  2 18:35:59 2024  commencing in-memory singleton removal
Mon Dec  2 18:35:59 2024  begin with 12461746 relations and 14356064 unique ideals
Mon Dec  2 18:36:03 2024  reduce to 11994805 relations and 11579959 ideals in 9 passes
Mon Dec  2 18:36:03 2024  max relations containing the same ideal: 84
Mon Dec  2 18:36:07 2024  removing 626686 relations and 502411 ideals in 124275 cliques
Mon Dec  2 18:36:07 2024  commencing in-memory singleton removal
Mon Dec  2 18:36:07 2024  begin with 11368119 relations and 11579959 unique ideals
Mon Dec  2 18:36:11 2024  reduce to 11348502 relations and 11057719 ideals in 8 passes
Mon Dec  2 18:36:11 2024  max relations containing the same ideal: 83
Mon Dec  2 18:36:15 2024  relations with 0 large ideals: 855
Mon Dec  2 18:36:15 2024  relations with 1 large ideals: 2328
Mon Dec  2 18:36:15 2024  relations with 2 large ideals: 35034
Mon Dec  2 18:36:15 2024  relations with 3 large ideals: 252843
Mon Dec  2 18:36:15 2024  relations with 4 large ideals: 972924
Mon Dec  2 18:36:15 2024  relations with 5 large ideals: 2218634
Mon Dec  2 18:36:15 2024  relations with 6 large ideals: 3127884
Mon Dec  2 18:36:15 2024  relations with 7+ large ideals: 4738000
Mon Dec  2 18:36:15 2024  commencing 2-way merge
Mon Dec  2 18:36:20 2024  reduce to 7426336 relation sets and 7135553 unique ideals
Mon Dec  2 18:36:20 2024  commencing full merge
Mon Dec  2 18:39:46 2024  memory use: 331.1 MB
Mon Dec  2 18:39:46 2024  found 3379 cycles, need 1588810
Mon Dec  2 18:39:46 2024  too few cycles, matrix probably cannot build
Mon Dec  2 18:39:46 2024  filtering wants 1000000 more relations
Mon Dec  2 18:39:46 2024  elapsed time 00:11:41
Mon Dec  2 18:39:47 2024  
Mon Dec  2 18:39:47 2024  
Mon Dec  2 18:39:47 2024  Msieve v. 1.54 (SVN Unversioned directory)
Mon Dec  2 18:39:47 2024  random seeds: a004dc23 89f47f12
Mon Dec  2 18:39:47 2024  MPI process 0 of 1
Mon Dec  2 18:39:47 2024  factoring 1248992522419333499123698581448695344737478828512412668818384402522923885388667382015999632616504741999480776022576982484191250418094646922972356561479677 (154 digits)
Mon Dec  2 18:39:47 2024  searching for 15-digit factors
Mon Dec  2 18:39:47 2024  commencing number field sieve (154-digit input)
Mon Dec  2 18:39:47 2024  R0: -600714680334192851855003084592
Mon Dec  2 18:39:47 2024  R1: 8069863913882154106853
Mon Dec  2 18:39:47 2024  A0: -210188426954025287234608185151910110
Mon Dec  2 18:39:47 2024  A1: 409533985532877202330182471857
Mon Dec  2 18:39:47 2024  A2: 2199555159078683059733690
Mon Dec  2 18:39:47 2024  A3: -861276578560079337
Mon Dec  2 18:39:47 2024  A4: -988275016332
Mon Dec  2 18:39:47 2024  A5: 45360
Mon Dec  2 18:39:47 2024  skew 1570425.19, size 7.771e-15, alpha -6.326, combined = 3.851e-12 rroots = 5
Mon Dec  2 18:39:47 2024  
Mon Dec  2 18:39:47 2024  commencing relation filtering
Mon Dec  2 18:39:47 2024  setting target matrix density to 120.0
Mon Dec  2 18:39:47 2024  estimated available RAM is 64046.8 MB
Mon Dec  2 18:39:47 2024  commencing duplicate removal, pass 1
Mon Dec  2 18:42:59 2024  found 2017348 hash collisions in 47929172 relations
Mon Dec  2 18:43:14 2024  commencing duplicate removal, pass 2
Mon Dec  2 18:43:23 2024  found 0 duplicates and 47929172 unique relations
Mon Dec  2 18:43:23 2024  memory use: 130.6 MB
Mon Dec  2 18:43:23 2024  reading ideals above 720000
Mon Dec  2 18:43:23 2024  commencing singleton removal, initial pass
Mon Dec  2 18:46:25 2024  memory use: 1378.0 MB
Mon Dec  2 18:46:26 2024  reading all ideals from disk
Mon Dec  2 18:46:27 2024  memory use: 1722.8 MB
Mon Dec  2 18:46:29 2024  keeping 45717364 ideals with weight <= 200, target excess is 250492
Mon Dec  2 18:46:31 2024  commencing in-memory singleton removal
Mon Dec  2 18:46:33 2024  begin with 47929172 relations and 45717364 unique ideals
Mon Dec  2 18:46:50 2024  reduce to 28966530 relations and 24640446 ideals in 14 passes
Mon Dec  2 18:46:50 2024  max relations containing the same ideal: 148
Mon Dec  2 18:46:59 2024  removing 4678620 relations and 3678620 ideals in 1000000 cliques
Mon Dec  2 18:47:00 2024  commencing in-memory singleton removal
Mon Dec  2 18:47:01 2024  begin with 24287910 relations and 24640446 unique ideals
Mon Dec  2 18:47:08 2024  reduce to 23706580 relations and 20356094 ideals in 8 passes
Mon Dec  2 18:47:08 2024  max relations containing the same ideal: 132
Mon Dec  2 18:47:15 2024  removing 3689292 relations and 2689292 ideals in 1000000 cliques
Mon Dec  2 18:47:16 2024  commencing in-memory singleton removal
Mon Dec  2 18:47:17 2024  begin with 20017288 relations and 20356094 unique ideals
Mon Dec  2 18:47:23 2024  reduce to 19585174 relations and 17217112 ideals in 8 passes
Mon Dec  2 18:47:23 2024  max relations containing the same ideal: 115
Mon Dec  2 18:47:29 2024  removing 3416244 relations and 2416244 ideals in 1000000 cliques
Mon Dec  2 18:47:29 2024  commencing in-memory singleton removal
Mon Dec  2 18:47:30 2024  begin with 16168930 relations and 17217112 unique ideals
Mon Dec  2 18:47:35 2024  reduce to 15744079 relations and 14356064 ideals in 8 passes
Mon Dec  2 18:47:35 2024  max relations containing the same ideal: 99
Mon Dec  2 18:47:40 2024  removing 3282333 relations and 2282333 ideals in 1000000 cliques
Mon Dec  2 18:47:40 2024  commencing in-memory singleton removal
Mon Dec  2 18:47:41 2024  begin with 12461746 relations and 14356064 unique ideals
Mon Dec  2 18:47:44 2024  reduce to 11994805 relations and 11579959 ideals in 9 passes
Mon Dec  2 18:47:44 2024  max relations containing the same ideal: 84
Mon Dec  2 18:47:48 2024  removing 626686 relations and 502411 ideals in 124275 cliques
Mon Dec  2 18:47:48 2024  commencing in-memory singleton removal
Mon Dec  2 18:47:49 2024  begin with 11368119 relations and 11579959 unique ideals
Mon Dec  2 18:47:52 2024  reduce to 11348502 relations and 11057719 ideals in 8 passes
Mon Dec  2 18:47:52 2024  max relations containing the same ideal: 83
Mon Dec  2 18:47:57 2024  relations with 0 large ideals: 855
Mon Dec  2 18:47:57 2024  relations with 1 large ideals: 2328
Mon Dec  2 18:47:57 2024  relations with 2 large ideals: 35034
Mon Dec  2 18:47:57 2024  relations with 3 large ideals: 252843
Mon Dec  2 18:47:57 2024  relations with 4 large ideals: 972924
Mon Dec  2 18:47:57 2024  relations with 5 large ideals: 2218634
Mon Dec  2 18:47:57 2024  relations with 6 large ideals: 3127884
Mon Dec  2 18:47:57 2024  relations with 7+ large ideals: 4738000
Mon Dec  2 18:47:57 2024  commencing 2-way merge
Mon Dec  2 18:48:01 2024  reduce to 7426336 relation sets and 7135553 unique ideals
Mon Dec  2 18:48:01 2024  commencing full merge
Mon Dec  2 18:49:44 2024  memory use: 968.4 MB
Mon Dec  2 18:49:45 2024  found 3380413 cycles, need 3363753
Mon Dec  2 18:49:45 2024  weight of 3363753 cycles is about 404222369 (120.17/cycle)
Mon Dec  2 18:49:45 2024  distribution of cycle lengths:
Mon Dec  2 18:49:45 2024  1 relations: 103498
Mon Dec  2 18:49:45 2024  2 relations: 200652
Mon Dec  2 18:49:45 2024  3 relations: 244582
Mon Dec  2 18:49:45 2024  4 relations: 252252
Mon Dec  2 18:49:45 2024  5 relations: 259165
Mon Dec  2 18:49:45 2024  6 relations: 252434
Mon Dec  2 18:49:45 2024  7 relations: 244538
Mon Dec  2 18:49:45 2024  8 relations: 233422
Mon Dec  2 18:49:45 2024  9 relations: 218313
Mon Dec  2 18:49:45 2024  10+ relations: 1354897
Mon Dec  2 18:49:45 2024  heaviest cycle: 28 relations
Mon Dec  2 18:49:46 2024  commencing cycle optimization
Mon Dec  2 18:49:50 2024  start with 30090132 relations
Mon Dec  2 18:50:30 2024  pruned 1458986 relations
Mon Dec  2 18:50:30 2024  memory use: 782.3 MB
Mon Dec  2 18:50:30 2024  distribution of cycle lengths:
Mon Dec  2 18:50:30 2024  1 relations: 103498
Mon Dec  2 18:50:30 2024  2 relations: 206670
Mon Dec  2 18:50:30 2024  3 relations: 256434
Mon Dec  2 18:50:30 2024  4 relations: 264236
Mon Dec  2 18:50:30 2024  5 relations: 273297
Mon Dec  2 18:50:30 2024  6 relations: 264781
Mon Dec  2 18:50:30 2024  7 relations: 258079
Mon Dec  2 18:50:30 2024  8 relations: 244672
Mon Dec  2 18:50:30 2024  9 relations: 228926
Mon Dec  2 18:50:30 2024  10+ relations: 1263160
Mon Dec  2 18:50:30 2024  heaviest cycle: 28 relations
Mon Dec  2 18:50:33 2024  RelProcTime: 646
Mon Dec  2 18:50:33 2024  
Mon Dec  2 18:50:33 2024  commencing linear algebra
Mon Dec  2 18:50:33 2024  initialized process (0,0) of 1 x 1 grid
Mon Dec  2 18:50:33 2024  read 3363753 cycles
Mon Dec  2 18:50:36 2024  cycles contain 11193589 unique relations
Mon Dec  2 18:51:06 2024  read 11193589 relations
Mon Dec  2 18:51:21 2024  using 20 quadratic characters above 4294917295
Mon Dec  2 18:51:55 2024  building initial matrix
Mon Dec  2 18:53:27 2024  memory use: 1515.4 MB
Mon Dec  2 18:53:29 2024  read 3363753 cycles
Mon Dec  2 18:53:29 2024  matrix is 3363574 x 3363753 (1575.6 MB) with weight 476420670 (141.63/col)
Mon Dec  2 18:53:29 2024  sparse part has weight 376043589 (111.79/col)
Mon Dec  2 18:53:51 2024  filtering completed in 2 passes
Mon Dec  2 18:53:51 2024  matrix is 3363530 x 3363709 (1575.6 MB) with weight 476418336 (141.63/col)
Mon Dec  2 18:53:51 2024  sparse part has weight 376042665 (111.79/col)
Mon Dec  2 18:54:06 2024  matrix starts at (0, 0)
Mon Dec  2 18:54:06 2024  matrix is 3363530 x 3363709 (1575.6 MB) with weight 476418336 (141.63/col)
Mon Dec  2 18:54:06 2024  sparse part has weight 376042665 (111.79/col)
Mon Dec  2 18:54:06 2024  saving the first 240 matrix rows for later
Mon Dec  2 18:54:06 2024  matrix includes 256 packed rows
Mon Dec  2 18:54:07 2024  matrix is 3363290 x 3363709 (1414.5 MB) with weight 340186250 (101.13/col)
Mon Dec  2 18:54:07 2024  sparse part has weight 316992170 (94.24/col)
Mon Dec  2 18:54:07 2024  using block size 8192 and superblock size 294912 for processor cache size 12288 kB
Mon Dec  2 18:54:12 2024  commencing Lanczos iteration (8 threads)
Mon Dec  2 18:54:12 2024  memory use: 2037.8 MB
Mon Dec  2 18:54:18 2024  linear algebra at 0.0%, ETA 3h 3m
Mon Dec  2 18:54:19 2024  checkpointing every 1230000 dimensions
Mon Dec  2 21:40:01 2024  lanczos halted after 13179 iterations (dim = 3363290)
Mon Dec  2 21:40:09 2024  recovered 28 nontrivial dependencies
Mon Dec  2 21:40:09 2024  BLanczosTime: 10176
Mon Dec  2 21:40:09 2024  
Mon Dec  2 21:40:09 2024  commencing square root phase
Mon Dec  2 21:40:09 2024  handling dependencies 1 to 64
Mon Dec  2 21:40:09 2024  reading relations for dependency 1
Mon Dec  2 21:40:09 2024  read 1682878 cycles
Mon Dec  2 21:40:11 2024  cycles contain 5600720 unique relations
Mon Dec  2 21:40:28 2024  read 5600720 relations
Mon Dec  2 21:40:42 2024  multiplying 5600720 relations
Mon Dec  2 21:43:02 2024  multiply complete, coefficients have about 296.11 million bits
Mon Dec  2 21:43:03 2024  initial square root is modulo 205703
Mon Dec  2 21:45:49 2024  GCD is 1, no factor found
Mon Dec  2 21:45:49 2024  reading relations for dependency 2
Mon Dec  2 21:45:49 2024  read 1681580 cycles
Mon Dec  2 21:45:51 2024  cycles contain 5597332 unique relations
Mon Dec  2 21:46:07 2024  read 5597332 relations
Mon Dec  2 21:46:20 2024  multiplying 5597332 relations
Mon Dec  2 21:48:40 2024  multiply complete, coefficients have about 295.94 million bits
Mon Dec  2 21:48:41 2024  initial square root is modulo 204299
Mon Dec  2 21:51:31 2024  sqrtTime: 682
Mon Dec  2 21:51:31 2024  p62 factor: 35398075784179622916521906696479733393670830014750263436422121
Mon Dec  2 21:51:31 2024  p92 factor: 35284192565561508024030390211343094414091795183686072262274701000110461833906003225419797237
Mon Dec  2 21:51:31 2024  elapsed time 03:11:44

NFS@Home, msieve 1.54

Ubuntu 24.04, i3-12100, 64GB RAM

35193313983241878772909409654237143350040682587614049500989571971638119517366251352910676429922988072935590034354914243910755640008946909667597599924496619894131924525597886102724933976165928840511149851<203>

11736170513172554239730672421677952353407316798741736691072102022537019356557552953779771544570356998077072514807031318753397041237922831189980638719595656613076705645203209309129004738897974536210701254689961139169046842121334188556829833<239>

113182034486072785934551399346770447939203727435277828244753944298496331325973722200132642951490870973864151740379961439735938226445472094629378403671864971729761090937464790705025767964222644094233<198>

35547584487423924491573126413371448425043576076826775752631877769831617706118750656935842890222841594924418151744196261533190151577101693535438605427354755816940181788070975780156382417597322305288010471287228863804771<218>

2824680601962440414576045073909804756643262686767237331063342676745955836836354682016278281094785670968214735949593329244556997186753636402111859094520085717611280857587162149613469293354952028510007805898279398252342797806252914491540313577833<244>

18978338468521512203578701766063936632730172297538979425935188732416509430948207720736933191209133413085367365043785830590694265825373885908351499061471134061678136637233551226569049289067012150432587892228320556048609422911644298086421180097305367<248>

432625622601315170583639528453896207309581970772818920410795776152865073313444680099265532393948647276248665938322747795413242825411627659006215525454095152640854166914811908632728009<183>

6864943625449705610845840921566348705671<40>
63019544836098333972537912468863875867713048495086105773965488269379693351251866099681175137493722036103368012897354648924629311338912830380079<143>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1113409781
Step 1 took 72681ms
********** Factor found in step 1: 6864943625449705610845840921566348705671
Found probable prime factor of 40 digits: 6864943625449705610845840921566348705671
Probable prime cofactor 63019544836098333972537912468863875867713048495086105773965488269379693351251866099681175137493722036103368012897354648924629311338912830380079 has 143 digits

116536457125961869786611677598746478021346871725474280716078931444244712627576457870390747682958280217927728141461257583062269720293845316940875237189418972512905977734324898740973982974638199<192>

16878969535844604049295101533771923766718061<44>

6904240029492447371752248696230162793906516116226862911435323219472925609229595753556636001448981923695829000546703544061622796356797404100126876659<148>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1913695776
Step 1 took 95946ms
Step 2 took 29373ms
********** Factor found in step 2: 16878969535844604049295101533771923766718061
Found probable prime factor of 44 digits: 16878969535844604049295101533771923766718061
Composite cofactor 6904240029492447371752248696230162793906516116226862911435323219472925609229595753556636001448981923695829000546703544061622796356797404100126876659 has 148 digits

6904240029492447371752248696230162793906516116226862911435323219472925609229595753556636001448981923695829000546703544061622796356797404100126876659<148>

890885621780999274963724859124947105502669735045729996276167<60>
7749861329774241908130602956274709772115959631986700831277385206804773861338332561935477<88>

Fri May  6 02:17:15 2022  Msieve v. 1.53 (SVN unknown)
Fri May  6 02:17:15 2022  random seeds: 23612cf8 a4c926ef
Fri May  6 02:17:15 2022  factoring 6904240029492447371752248696230162793906516116226862911435323219472925609229595753556636001448981923695829000546703544061622796356797404100126876659 (148 digits)
Fri May  6 02:17:16 2022  searching for 15-digit factors
Fri May  6 02:17:17 2022  commencing number field sieve (148-digit input)
Fri May  6 02:17:17 2022  R0: -23026694530312218943222345393
Fri May  6 02:17:17 2022  R1: 83122847875044019
Fri May  6 02:17:17 2022  A0: -7784752134834286436574282806242564
Fri May  6 02:17:17 2022  A1: 15545398875395341761142589390
Fri May  6 02:17:17 2022  A2: 284379943298428584946608
Fri May  6 02:17:17 2022  A3: -583576690716089614
Fri May  6 02:17:17 2022  A4: -2025069921575
Fri May  6 02:17:17 2022  A5: 1066500
Fri May  6 02:17:17 2022  skew 437512.84, size 1.660e-14, alpha -5.062, combined = 5.840e-12 rroots = 3
Fri May  6 02:17:17 2022  
Fri May  6 02:17:17 2022  commencing square root phase
Fri May  6 02:17:17 2022  reading relations for dependency 1
Fri May  6 02:17:17 2022  read 1959773 cycles
Fri May  6 02:17:21 2022  cycles contain 6555626 unique relations
Fri May  6 02:19:24 2022  read 6555626 relations
Fri May  6 02:20:04 2022  multiplying 6555626 relations
Fri May  6 02:27:42 2022  multiply complete, coefficients have about 357.26 million bits
Fri May  6 02:27:45 2022  initial square root is modulo 2573353
Fri May  6 02:37:19 2022  sqrtTime: 1202
Fri May  6 02:37:19 2022  p60 factor: 890885621780999274963724859124947105502669735045729996276167
Fri May  6 02:37:19 2022  p88 factor: 7749861329774241908130602956274709772115959631986700831277385206804773861338332561935477
Fri May  6 02:37:19 2022  elapsed time 00:20:04

52226956656640227436481225086180179017844533783837361177827595935040316182025371909668607577427029567893167979705185230190952594150028818425033674360564885095828169741091220519686606877619329181647405997640586440732079837306344953<230>

8922241360530682115920773931816301<34>

5853569136526233020602902197752917849970024606486250964935850734665388341399114562245309615688054597565784462056841633579552210135193113879245829399435681725260383076259571157201396310939689781053<196>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2315887405
Step 1 took 35839ms
Step 2 took 11543ms
********** Factor found in step 2: 8922241360530682115920773931816301
Found probable prime factor of 34 digits: 8922241360530682115920773931816301

77565667822779798069057352768307209095156106966723727879139359014796877486519590331361057153100313834813892431115027395461282875459374100093867023277069282585551270810917917781215055094537522208486606739992105933207987<218>

5220733010885475613403945388155486638334923<43>

14857237031859646274993790493270465265529784729778615557113294435570671141405131519749449223135661323769534351732242840459642424589125318132882834853062468250267940378478122169<176>

Resuming ECM residue saved by @3961bd9d3caf with GMP-ECM 7.0.5-dev on Mon Oct  2 06:03:54 2023 
Input number is 77565667822779798069057352768307209095156106966723727879139359014796877486519590331361057153100313834813892431115027395461282875459374100093867023277069282585551270810917917781215055094537522208486606739992105933207987 (218 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:590513737
Step 1 took 0ms
Step 2 took 5007ms
********** Factor found in step 2: 5220733010885475613403945388155486638334923
Found prime factor of 43 digits: 5220733010885475613403945388155486638334923
Composite cofactor 14857237031859646274993790493270465265529784729778615557113294435570671141405131519749449223135661323769534351732242840459642424589125318132882834853062468250267940378478122169 has 176 digits

702485548604556757378246615192121884684886682922681204323019636544269062356854664242620769562216589091116286391952323407137301249654880903350433505583280767373625121125028189027249419628505375371518317394071690290132595417966111157317003890233090047227<252>

1999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<271>

5152604875961372678895383823209638258802141<43>

388153186232204566535905139077048605377165892219615482022014363144899325290935194004995434756784670559447169364901912720428674174193584194367669961617417406909063280773176714540907253122510598914742964563820086398259464342419617<228>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3095916732
Step 1 took 134970ms
Step 2 took 36179ms
********** Factor found in step 2: 5152604875961372678895383823209638258802141
Found probable prime factor of 43 digits: 5152604875961372678895383823209638258802141

2567306332047037763707872314264237094211179600021832374807197049959342763970740374433433224025719747633438746296989721126225940367683150143258250687910750806187557587870257590278540195798972191087862216084597831190630401<220>

1701345227251848675367280753450934473925697070318313734231722200726816499820037686343136305497364646310010415010151797541173617861528585689958407226074530521184753586443354693470493761860941065042505780808334132516364112323253878630185032996762255024825452332157<262>

117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941<273>

19999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<275>

23151997583283040136317951790507280779013013918472645547552967538277581<71>
863856344492755641909382749464614739336644766445655371441464906375616809563278474363989057250317497333092685343069122237222702608903495640064156398261016644749459230033580407417669547366307549778208919537<204>

Sieving by NFS@home and Dmitry Domanov (there were not enough relations to build a metrix); postprocessing, linear algebra and square root by Dmitry Domanov
------------------------------------
Tue May 21 11:35:23 2024  
Tue May 21 11:35:23 2024  
Tue May 21 11:35:23 2024  Msieve v. 1.54 (SVN Unversioned directory)
Tue May 21 11:35:23 2024  random seeds: 4e5f5d8f f1c75666
Tue May 21 11:35:23 2024  Using 64 OpenMP threads
Tue May 21 11:35:23 2024  factoring 19999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997 (275 digits)
Tue May 21 11:35:26 2024  searching for 15-digit factors
Tue May 21 11:35:27 2024  commencing number field sieve (275-digit input)
Tue May 21 11:35:27 2024  R0: -10000000000000000000000000000000000000000000000
Tue May 21 11:35:27 2024  R1: 1
Tue May 21 11:35:27 2024  A0: -150
Tue May 21 11:35:27 2024  A1: 0
Tue May 21 11:35:27 2024  A2: 0
Tue May 21 11:35:27 2024  A3: 0
Tue May 21 11:35:27 2024  A4: 0
Tue May 21 11:35:27 2024  A5: 0
Tue May 21 11:35:27 2024  A6: 1
Tue May 21 11:35:27 2024  skew 1.00, size 1.219e-13, alpha 1.248, combined = 2.211e-14 rroots = 2
Tue May 21 11:35:27 2024  
Tue May 21 11:35:27 2024  commencing relation filtering
Tue May 21 11:35:27 2024  setting target matrix density to 110.0
Tue May 21 11:35:27 2024  estimated available RAM is 515996.3 MB
Tue May 21 11:35:27 2024  commencing duplicate removal, pass 1
Tue May 21 11:35:55 2024  error -1 reading relation 19463444
Tue May 21 11:36:12 2024  error -1 reading relation 33119892
Tue May 21 11:36:28 2024  error -1 reading relation 46232467
Tue May 21 11:36:33 2024  error -1 reading relation 49845234
Tue May 21 11:36:38 2024  error -1 reading relation 53921026
Tue May 21 11:37:00 2024  error -1 reading relation 71096830
Tue May 21 11:37:02 2024  error -1 reading relation 72518556
Tue May 21 11:37:12 2024  error -1 reading relation 80622077
Tue May 21 11:37:13 2024  error -1 reading relation 80997585
Tue May 21 11:37:24 2024  error -1 reading relation 90563814
Tue May 21 11:37:26 2024  error -5 reading relation 91911139
Tue May 21 11:37:26 2024  error -5 reading relation 91911390
Tue May 21 11:37:26 2024  error -5 reading relation 91911893
Tue May 21 11:37:26 2024  error -5 reading relation 91928115
Tue May 21 11:37:26 2024  error -11 reading relation 91935758
Tue May 21 11:37:26 2024  error -11 reading relation 92078985
Tue May 21 11:37:26 2024  error -11 reading relation 92178595
Tue May 21 11:37:26 2024  error -11 reading relation 92186243
Tue May 21 11:37:26 2024  error -11 reading relation 92457610
Tue May 21 11:37:26 2024  error -5 reading relation 92458326
Tue May 21 11:37:26 2024  error -11 reading relation 92473231
Tue May 21 11:37:30 2024  error -1 reading relation 95643398
Tue May 21 11:37:32 2024  error -1 reading relation 97130553
Tue May 21 11:37:35 2024  error -1 reading relation 99847531
Tue May 21 11:37:39 2024  error -1 reading relation 103363416
Tue May 21 11:37:48 2024  error -1 reading relation 110999194
Tue May 21 11:38:12 2024  error -1 reading relation 132623335
Tue May 21 11:38:16 2024  error -11 reading relation 136114890
Tue May 21 11:38:17 2024  error -5 reading relation 137413038
Tue May 21 11:38:17 2024  error -11 reading relation 137415490
Tue May 21 11:38:17 2024  error -11 reading relation 137442006
Tue May 21 11:38:19 2024  error -1 reading relation 138824465
Tue May 21 11:38:30 2024  error -5 reading relation 149576713
Tue May 21 11:38:30 2024  error -1 reading relation 149577931
Tue May 21 11:38:32 2024  error -15 reading relation 151089901
Tue May 21 11:38:35 2024  error -1 reading relation 153919390
Tue May 21 11:38:36 2024  error -1 reading relation 155287103
Tue May 21 11:38:38 2024  error -1 reading relation 157172860
Tue May 21 11:38:43 2024  error -5 reading relation 161214037
Tue May 21 11:38:51 2024  error -1 reading relation 168688849
Tue May 21 11:38:52 2024  error -1 reading relation 169371721
Tue May 21 11:39:03 2024  error -1 reading relation 179881870
Tue May 21 11:39:03 2024  error -5 reading relation 179887236
Tue May 21 11:39:03 2024  error -1 reading relation 179897376
Tue May 21 11:39:03 2024  error -1 reading relation 179914513
Tue May 21 11:39:03 2024  error -5 reading relation 179922048
Tue May 21 11:39:03 2024  error -5 reading relation 179939120
Tue May 21 11:39:03 2024  error -1 reading relation 179962124
Tue May 21 11:39:06 2024  error -1 reading relation 182319761
Tue May 21 11:39:06 2024  error -1 reading relation 183021052
Tue May 21 11:39:12 2024  error -1 reading relation 187982419
Tue May 21 11:39:15 2024  error -15 reading relation 191100009
Tue May 21 11:39:19 2024  error -1 reading relation 194403911
Tue May 21 11:39:19 2024  error -1 reading relation 195025008
Tue May 21 11:39:22 2024  error -1 reading relation 197269027
Tue May 21 11:39:33 2024  error -1 reading relation 207379695
Tue May 21 11:39:35 2024  error -15 reading relation 209754896
Tue May 21 11:39:35 2024  error -6 reading relation 209758382
Tue May 21 11:39:36 2024  error -5 reading relation 209949255
Tue May 21 11:39:36 2024  error -5 reading relation 209967034
Tue May 21 11:39:50 2024  error -1 reading relation 223602520
Tue May 21 11:39:51 2024  error -1 reading relation 223690151
Tue May 21 11:39:59 2024  error -1 reading relation 232002686
Tue May 21 11:39:59 2024  error -1 reading relation 232351083
Tue May 21 11:40:07 2024  error -5 reading relation 239489257
Tue May 21 11:40:13 2024  error -1 reading relation 245265217
Tue May 21 11:40:34 2024  error -1 reading relation 264460167
Tue May 21 11:40:34 2024  error -1 reading relation 264577453
Tue May 21 11:41:02 2024  error -1 reading relation 290254134
Tue May 21 11:41:24 2024  error -1 reading relation 310851109
Tue May 21 11:41:37 2024  error -1 reading relation 323623910
Tue May 21 11:41:37 2024  error -5 reading relation 323624778
Tue May 21 11:41:37 2024  error -5 reading relation 323636738
Tue May 21 11:41:37 2024  error -11 reading relation 323704551
Tue May 21 11:42:10 2024  error -1 reading relation 351565775
Tue May 21 11:42:31 2024  error -1 reading relation 370592264
Tue May 21 11:42:31 2024  error -1 reading relation 370622485
Tue May 21 11:42:31 2024  error -1 reading relation 370641707
Tue May 21 11:42:34 2024  error -1 reading relation 373857947
Tue May 21 11:42:36 2024  error -1 reading relation 374860032
Tue May 21 11:42:36 2024  error -1 reading relation 374889433
Tue May 21 11:42:36 2024  error -1 reading relation 375267224
Tue May 21 11:44:05 2024  skipped 646 relations with b > 2^32
Tue May 21 11:44:05 2024  skipped 2 relations with composite factors
Tue May 21 11:44:05 2024  skipped 696 malformed relations
Tue May 21 11:44:05 2024  found 116703674 hash collisions in 453801341 relations
Tue May 21 11:44:13 2024  commencing duplicate removal, pass 2
Tue May 21 11:47:23 2024  found 137751802 duplicates and 316049539 unique relations
Tue May 21 11:47:23 2024  memory use: 2899.0 MB
Tue May 21 11:47:23 2024  reading ideals above 720000
Tue May 21 11:47:23 2024  commencing singleton removal, initial pass
Tue May 21 12:02:22 2024  memory use: 11024.0 MB
Tue May 21 12:02:22 2024  reading all ideals from disk
Tue May 21 12:02:28 2024  memory use: 15858.2 MB
Tue May 21 12:03:13 2024  keeping 328302886 ideals with weight <= 200, target excess is 1662977
Tue May 21 12:04:09 2024  commencing in-memory singleton removal
Tue May 21 12:04:15 2024  begin with 316049539 relations and 328302886 unique ideals
Tue May 21 12:04:47 2024  reduce to 161693735 relations and 153851116 ideals in 22 passes
Tue May 21 12:04:47 2024  max relations containing the same ideal: 138
Tue May 21 12:05:55 2024  removing 11155863 relations and 10155863 ideals in 1000000 cliques
Tue May 21 12:06:02 2024  commencing in-memory singleton removal
Tue May 21 12:06:05 2024  begin with 150537872 relations and 153851116 unique ideals
Tue May 21 12:06:18 2024  reduce to 149809860 relations and 142960074 ideals in 11 passes
Tue May 21 12:06:18 2024  max relations containing the same ideal: 129
Tue May 21 12:07:21 2024  removing 8224807 relations and 7224807 ideals in 1000000 cliques
Tue May 21 12:07:26 2024  commencing in-memory singleton removal
Tue May 21 12:07:29 2024  begin with 141585053 relations and 142960074 unique ideals
Tue May 21 12:07:39 2024  reduce to 141152475 relations and 135299282 ideals in 10 passes
Tue May 21 12:07:39 2024  max relations containing the same ideal: 125
Tue May 21 12:08:36 2024  removing 7303238 relations and 6303238 ideals in 1000000 cliques
Tue May 21 12:08:42 2024  commencing in-memory singleton removal
Tue May 21 12:08:44 2024  begin with 133849237 relations and 135299282 unique ideals
Tue May 21 12:08:54 2024  reduce to 133487357 relations and 128631408 ideals in 10 passes
Tue May 21 12:08:54 2024  max relations containing the same ideal: 118
Tue May 21 12:09:51 2024  removing 6813363 relations and 5813363 ideals in 1000000 cliques
Tue May 21 12:09:55 2024  commencing in-memory singleton removal
Tue May 21 12:09:57 2024  begin with 126673994 relations and 128631408 unique ideals
Tue May 21 12:10:06 2024  reduce to 126343341 relations and 122484771 ideals in 9 passes
Tue May 21 12:10:06 2024  max relations containing the same ideal: 115
Tue May 21 12:10:59 2024  removing 6501786 relations and 5501786 ideals in 1000000 cliques
Tue May 21 12:11:04 2024  commencing in-memory singleton removal
Tue May 21 12:11:06 2024  begin with 119841555 relations and 122484771 unique ideals
Tue May 21 12:11:14 2024  reduce to 119523889 relations and 116662817 ideals in 9 passes
Tue May 21 12:11:14 2024  max relations containing the same ideal: 110
Tue May 21 12:12:03 2024  removing 5928303 relations and 4996285 ideals in 932018 cliques
Tue May 21 12:12:07 2024  commencing in-memory singleton removal
Tue May 21 12:12:09 2024  begin with 113595586 relations and 116662817 unique ideals
Tue May 21 12:12:18 2024  reduce to 113320189 relations and 111389070 ideals in 10 passes
Tue May 21 12:12:18 2024  max relations containing the same ideal: 105
Tue May 21 12:13:30 2024  relations with 0 large ideals: 63446
Tue May 21 12:13:30 2024  relations with 1 large ideals: 28191
Tue May 21 12:13:30 2024  relations with 2 large ideals: 369164
Tue May 21 12:13:30 2024  relations with 3 large ideals: 2466007
Tue May 21 12:13:30 2024  relations with 4 large ideals: 9179135
Tue May 21 12:13:30 2024  relations with 5 large ideals: 20786001
Tue May 21 12:13:30 2024  relations with 6 large ideals: 29722858
Tue May 21 12:13:30 2024  relations with 7+ large ideals: 50705387
Tue May 21 12:13:30 2024  commencing 2-way merge
Tue May 21 12:14:47 2024  reduce to 69076881 relation sets and 67145762 unique ideals
Tue May 21 12:14:47 2024  commencing full merge
Tue May 21 12:40:05 2024  memory use: 8167.6 MB
Tue May 21 12:40:11 2024  found 31247626 cycles, need 31225962
Tue May 21 12:40:24 2024  weight of 31225962 cycles is about 3435061203 (110.01/cycle)
Tue May 21 12:40:24 2024  distribution of cycle lengths:
Tue May 21 12:40:24 2024  1 relations: 3176751
Tue May 21 12:40:24 2024  2 relations: 2911063
Tue May 21 12:40:24 2024  3 relations: 2812557
Tue May 21 12:40:24 2024  4 relations: 2577742
Tue May 21 12:40:24 2024  5 relations: 2392071
Tue May 21 12:40:24 2024  6 relations: 2133881
Tue May 21 12:40:24 2024  7 relations: 1950990
Tue May 21 12:40:24 2024  8 relations: 1730838
Tue May 21 12:40:24 2024  9 relations: 1542131
Tue May 21 12:40:24 2024  10+ relations: 9997938
Tue May 21 12:40:24 2024  heaviest cycle: 28 relations
Tue May 21 12:40:30 2024  commencing cycle optimization
Tue May 21 12:41:40 2024  start with 242542812 relations
Tue May 21 12:50:46 2024  pruned 7660018 relations
Tue May 21 12:50:47 2024  memory use: 7091.8 MB
Tue May 21 12:50:47 2024  distribution of cycle lengths:
Tue May 21 12:50:47 2024  1 relations: 3176751
Tue May 21 12:50:47 2024  2 relations: 2979547
Tue May 21 12:50:47 2024  3 relations: 2920168
Tue May 21 12:50:47 2024  4 relations: 2656444
Tue May 21 12:50:47 2024  5 relations: 2469041
Tue May 21 12:50:47 2024  6 relations: 2186521
Tue May 21 12:50:47 2024  7 relations: 1993054
Tue May 21 12:50:47 2024  8 relations: 1755095
Tue May 21 12:50:47 2024  9 relations: 1561202
Tue May 21 12:50:47 2024  10+ relations: 9528139
Tue May 21 12:50:47 2024  heaviest cycle: 28 relations
Tue May 21 12:51:45 2024  RelProcTime: 4578
Tue May 21 12:51:45 2024  elapsed time 01:16:22
Tue May 21 13:34:26 2024  
Tue May 21 13:34:26 2024  
Tue May 21 13:34:26 2024  Msieve v. 1.54 (SVN Unversioned directory)
Tue May 21 13:34:26 2024  random seeds: 4dd5ffc3 b33ef599
Tue May 21 13:34:26 2024  Using 64 OpenMP threads
Tue May 21 13:34:26 2024  factoring 19999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997 (275 digits)
Tue May 21 13:34:29 2024  searching for 15-digit factors
Tue May 21 13:34:30 2024  commencing number field sieve (275-digit input)
Tue May 21 13:34:30 2024  R0: -10000000000000000000000000000000000000000000000
Tue May 21 13:34:30 2024  R1: 1
Tue May 21 13:34:30 2024  A0: -150
Tue May 21 13:34:30 2024  A1: 0
Tue May 21 13:34:30 2024  A2: 0
Tue May 21 13:34:30 2024  A3: 0
Tue May 21 13:34:30 2024  A4: 0
Tue May 21 13:34:30 2024  A5: 0
Tue May 21 13:34:30 2024  A6: 1
Tue May 21 13:34:30 2024  skew 1.00, size 1.219e-13, alpha 1.248, combined = 2.211e-14 rroots = 2
Tue May 21 13:34:30 2024  
Tue May 21 13:34:30 2024  commencing linear algebra
Tue May 21 13:34:30 2024  using VBITS=256
Tue May 21 13:34:37 2024  read 31225962 cycles
Tue May 21 13:36:09 2024  cycles contain 111546872 unique relations
Tue May 21 13:37:28 2024  read 111546872 relations
Tue May 21 13:37:40 2024  using 20 quadratic characters above 4294917295
Tue May 21 13:37:53 2024  building initial matrix
Tue May 21 13:55:18 2024  memory use: 14491.2 MB
Tue May 21 13:55:33 2024  read 31225962 cycles
Tue May 21 13:55:36 2024  matrix is 31225785 x 31225962 (13740.4 MB) with weight 3913456660 (125.33/col)
Tue May 21 13:55:36 2024  sparse part has weight 3258490892 (104.35/col)
Tue May 21 14:02:22 2024  filtering completed in 2 passes
Tue May 21 14:02:27 2024  matrix is 31223337 x 31223505 (13740.3 MB) with weight 3913376159 (125.33/col)
Tue May 21 14:02:27 2024  sparse part has weight 3258465614 (104.36/col)
Tue May 21 14:04:15 2024  matrix starts at (0, 0)
Tue May 21 14:04:19 2024  matrix is 31223337 x 31223505 (13740.3 MB) with weight 3913376159 (125.33/col)
Tue May 21 14:04:19 2024  sparse part has weight 3258465614 (104.36/col)
Tue May 21 14:04:19 2024  saving the first 240 matrix rows for later
Tue May 21 14:04:25 2024  matrix includes 256 packed rows
Tue May 21 14:04:35 2024  matrix is 31223097 x 31223505 (12672.0 MB) with weight 2980437306 (95.45/col)
Tue May 21 14:04:35 2024  sparse part has weight 2822300503 (90.39/col)
Tue May 21 14:04:35 2024  using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
Tue May 21 14:05:49 2024  commencing Lanczos iteration (64 threads)
Tue May 21 14:05:49 2024  memory use: 17960.9 MB
Tue May 21 14:11:51 2024  linear algebra at 0.1%, ETA 100h42m
Tue May 21 14:20:07 2024  checking every 10000 dimensions, checkpointing every 330000 dimensions
Sat May 25 10:37:03 2024  lanczos halted after 122331 iterations (dim = 31223096)
Sat May 25 10:39:07 2024  recovered 36 nontrivial dependencies
Sat May 25 10:39:12 2024  BLanczosTime: 335082
Sat May 25 10:39:12 2024  
Sat May 25 10:39:12 2024  commencing square root phase
Sat May 25 10:39:12 2024  reading relations for dependency 1
Sat May 25 10:39:15 2024  read 15610139 cycles
Sat May 25 10:39:42 2024  cycles contain 55766368 unique relations
Sat May 25 10:40:12 2024  read 55766368 relations
Sat May 25 10:43:56 2024  multiplying 55766368 relations
Sat May 25 11:02:23 2024  multiply complete, coefficients have about 1502.51 million bits
Sat May 25 11:02:26 2024  initial square root is modulo 5493559
Sat May 25 11:18:55 2024  sqrtTime: 2383
Sat May 25 11:18:55 2024  p71 factor: 23151997583283040136317951790507280779013013918472645547552967538277581
Sat May 25 11:18:55 2024  p204 factor: 863856344492755641909382749464614739336644766445655371441464906375616809563278474363989057250317497333092685343069122237222702608903495640064156398261016644749459230033580407417669547366307549778208919537
Sat May 25 11:18:55 2024  elapsed time 93:44:29