28571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571429<110>

26184862097599361168293556342151923<35>
1091142984253028074855253881145711454222019861072878061773867745555021996423<76>

Number: 20003_110
N=28571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571429
  ( 110 digits)
SNFS difficulty: 110 digits.
Divisors found:
 r1=26184862097599361168293556342151923 (pp35)
 r2=1091142984253028074855253881145711454222019861072878061773867745555021996423 (pp76)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.48 hours.
Scaled time: 0.44 units (timescale=0.935).
Factorization parameters were as follows:
n: 28571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571429
m: 10000000000000000000000
c5: 2
c0: 3
skew: 1.08
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:41512, largePrimes:1111312 encountered
Relations: rels:1064225, finalFF:121436
Max relations in full relation-set: 28
Initial matrix: 83115 x 121436 with sparse part having weight 4674144.
Pruned matrix : 63518 x 63997 with weight 1815360.
Total sieving time: 0.45 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: 0.48 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

70410348793875085321768849152758164549236425820919737153313863018456745454803368293180589836398051310527<104>

141642068744903728734080380860557<33>
497100539534504959831516767690043182490203130774494939527873200330969211<72>

Number: 20003_114
N=70410348793875085321768849152758164549236425820919737153313863018456745454803368293180589836398051310527
  ( 104 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=141642068744903728734080380860557 (pp33)
 r2=497100539534504959831516767690043182490203130774494939527873200330969211 (pp72)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.64 hours.
Scaled time: 0.60 units (timescale=0.930).
Factorization parameters were as follows:
n: 70410348793875085321768849152758164549236425820919737153313863018456745454803368293180589836398051310527
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:1149521 encountered
Relations: rels:1106102, finalFF:125588
Max relations in full relation-set: 28
Initial matrix: 82983 x 125588 with sparse part having weight 5422596.
Pruned matrix : 65702 x 66180 with weight 2045419.
Total sieving time: 0.61 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: 0.64 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

27972107281389871588317961432884759576381723602570236734004002563659504714454632356237779796988253285243<104>

991811671612623385550841555017839892819<39>
28203043059484251487882072762043305121719614244673667495654922297<65>

Number: 20003_118
N=27972107281389871588317961432884759576381723602570236734004002563659504714454632356237779796988253285243
  ( 104 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=991811671612623385550841555017839892819 (pp39)
 r2=28203043059484251487882072762043305121719614244673667495654922297 (pp65)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.96 hours.
Scaled time: 0.82 units (timescale=0.853).
Factorization parameters were as follows:
n: 27972107281389871588317961432884759576381723602570236734004002563659504714454632356237779796988253285243
m: 200000000000000000000000
c5: 125
c0: 6
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, 455001)
Primes: RFBsize:56543, AFBsize:56408, largePrimes:1928404 encountered
Relations: rels:1883991, finalFF:137232
Max relations in full relation-set: 28
Initial matrix: 113016 x 137232 with sparse part having weight 10203633.
Pruned matrix : 104024 x 104653 with weight 5985437.
Total sieving time: 0.89 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,118,5,0,0,0,0,0,0,0,0,700000,700000,25,25,46,46,2.4,2.4,35000
total time: 0.96 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

200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003<120>

5228659514109126391498531522208323958331928046131<49>
38250721711810786837816564744277352704880578237524903785562032046531313<71>

Number: 20003_119
N=200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003
  ( 120 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=5228659514109126391498531522208323958331928046131 (pp49)
 r2=38250721711810786837816564744277352704880578237524903785562032046531313 (pp71)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 1.03 hours.
Scaled time: 0.96 units (timescale=0.933).
Factorization parameters were as follows:
n: 200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003
m: 1000000000000000000000000
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, 490001)
Primes: RFBsize:56543, AFBsize:56578, largePrimes:2095809 encountered
Relations: rels:2212502, finalFF:259212
Max relations in full relation-set: 28
Initial matrix: 113185 x 259212 with sparse part having weight 21628126.
Pruned matrix : 80815 x 81444 with weight 4666548.
Total sieving time: 0.97 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: 1.03 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

2885343962202653372378528009811363064619245247881531993159016967031147098713516972051692235147<94>

1363935016086710284190348118562849<34>
2115455595883918282267614450587132366299796154935856176143403<61>

Number: 20003_126
N=2885343962202653372378528009811363064619245247881531993159016967031147098713516972051692235147
  ( 94 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=1363935016086710284190348118562849 (pp34)
 r2=2115455595883918282267614450587132366299796154935856176143403 (pp61)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.12 hours.
Scaled time: 1.97 units (timescale=0.932).
Factorization parameters were as follows:
n: 2885343962202653372378528009811363064619245247881531993159016967031147098713516972051692235147
m: 10000000000000000000000000
c5: 20
c0: 3
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, 900001)
Primes: RFBsize:78498, AFBsize:78241, largePrimes:1570656 encountered
Relations: rels:1629783, finalFF:230731
Max relations in full relation-set: 28
Initial matrix: 156805 x 230731 with sparse part having weight 11797616.
Pruned matrix : 123689 x 124537 with weight 5161895.
Total sieving time: 2.04 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,126,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,44,44,2.2,2.2,50000
total time: 2.12 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

20253887863507244220879021005238400509953820135797606636390564270556960616638635630755061363<92>

8927757006598681262632931194240133629<37>
2268642375519091333458799446695979155571481664083795247<55>

Sat May 19 19:31:19 2007  
Sat May 19 19:31:19 2007  
Sat May 19 19:31:19 2007  Msieve v. 1.21
Sat May 19 19:31:19 2007  random seeds: d716045e 858ea74d
Sat May 19 19:31:19 2007  factoring 20253887863507244220879021005238400509953820135797606636390564270556960616638635630755061363 (92 digits)
Sat May 19 19:31:20 2007  commencing quadratic sieve (92-digit input)
Sat May 19 19:31:20 2007  using multiplier of 17
Sat May 19 19:31:20 2007  using 32kb Intel Core sieve core
Sat May 19 19:31:20 2007  sieve interval: 36 blocks of size 32768
Sat May 19 19:31:20 2007  processing polynomials in batches of 6
Sat May 19 19:31:20 2007  using a sieve bound of 1783751 (67059 primes)
Sat May 19 19:31:20 2007  using large prime bound of 187293855 (27 bits)
Sat May 19 19:31:20 2007  using double large prime bound of 777217055970600 (42-50 bits)
Sat May 19 19:31:20 2007  using trial factoring cutoff of 50 bits
Sat May 19 19:31:20 2007  polynomial 'A' values have 12 factors
Sat May 19 21:02:32 2007  67423 relations (17378 full + 50045 combined from 830306 partial), need 67155
Sat May 19 21:02:33 2007  begin with 847684 relations
Sat May 19 21:02:33 2007  reduce to 169734 relations in 10 passes
Sat May 19 21:02:33 2007  attempting to read 169734 relations
Sat May 19 21:02:35 2007  recovered 169734 relations
Sat May 19 21:02:35 2007  recovered 151296 polynomials
Sat May 19 21:02:35 2007  attempting to build 67423 cycles
Sat May 19 21:02:35 2007  found 67422 cycles in 5 passes
Sat May 19 21:02:35 2007  distribution of cycle lengths:
Sat May 19 21:02:35 2007     length 1 : 17378
Sat May 19 21:02:35 2007     length 2 : 12280
Sat May 19 21:02:35 2007     length 3 : 11630
Sat May 19 21:02:35 2007     length 4 : 8996
Sat May 19 21:02:35 2007     length 5 : 6589
Sat May 19 21:02:35 2007     length 6 : 4405
Sat May 19 21:02:35 2007     length 7 : 2691
Sat May 19 21:02:35 2007     length 9+: 3453
Sat May 19 21:02:35 2007  largest cycle: 19 relations
Sat May 19 21:02:35 2007  matrix is 67059 x 67422 with weight 4070500 (avg 60.37/col)
Sat May 19 21:02:35 2007  filtering completed in 3 passes
Sat May 19 21:02:35 2007  matrix is 65530 x 65594 with weight 3893561 (avg 59.36/col)
Sat May 19 21:02:36 2007  saving the first 48 matrix rows for later
Sat May 19 21:02:36 2007  matrix is 65482 x 65594 with weight 2931664 (avg 44.69/col)
Sat May 19 21:02:36 2007  matrix includes 32 packed rows
Sat May 19 21:02:36 2007  using block size 26237 for processor cache size 4096 kB
Sat May 19 21:02:56 2007  lanczos halted after 1037 iterations
Sat May 19 21:02:57 2007  recovered 16 nontrivial dependencies
Sat May 19 21:02:57 2007  prp37 factor: 8927757006598681262632931194240133629
Sat May 19 21:02:57 2007  prp55 factor: 2268642375519091333458799446695979155571481664083795247
Sat May 19 21:02:57 2007  elapsed time 01:31:38

Core 2 Quad Q6600

181110667584365268571506917891704517125360677457662669626156617049442655401350747509071891750331736847898624761361<114>

245627325886145161242134796623575019<36>
737339247296593171731659164098751163305183427019906464474193591876106604044019<78>

Number: n
N=181110667584365268571506917891704517125360677457662669626156617049442655401350747509071891750331736847898624761361
  ( 114 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=245627325886145161242134796623575019 (pp36)
 r2=737339247296593171731659164098751163305183427019906464474193591876106604044019 (pp78)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 3.54 hours.
Scaled time: 5.12 units (timescale=1.448).
Factorization parameters were as follows:
name: KA_2_0_133_3
n: 181110667584365268571506917891704517125360677457662669626156617049442655401350747509071891750331736847898624761361
skew: 1.72
deg: 5
c5: 1
c0: 15
m: 1000000000000000000000000000
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, 500001)
Primes: RFBsize:148933, AFBsize:148925, largePrimes:5017314 encountered
Relations: rels:4491776, finalFF:346937
Max relations in full relation-set: 28
Initial matrix: 297922 x 346937 with sparse part having weight 14433488.
Pruned matrix : 245580 x 247133 with weight 7586313.
Total sieving time: 2.78 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.61 hours.
Total square root time: 0.05 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,135,5,0,0,0,0,0,0,0,0,2000000,2000000,28,28,48,48,2.5,2.5,75000
total time: 3.54 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

75460587151129379230670063280857121792718817008604043048671091197504696349160888652369718619579296555750824669583497388155573<125>

7020006299581572894488170104402102406297674139<46>
10749361742827382298904906120880763303050229911440763032084434365062835850279407<80>

Number: 20003_135
N=75460587151129379230670063280857121792718817008604043048671091197504696349160888652369718619579296555750824669583497388155573
  ( 125 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=7020006299581572894488170104402102406297674139 (pp46)
 r2=10749361742827382298904906120880763303050229911440763032084434365062835850279407 (pp80)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 3.55 hours.
Scaled time: 3.32 units (timescale=0.934).
Factorization parameters were as follows:
n: 75460587151129379230670063280857121792718817008604043048671091197504696349160888652369718619579296555750824669583497388155573
m: 1000000000000000000000000000
c5: 2
c0: 3
skew: 1.08
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, 1300001)
Primes: RFBsize:100021, AFBsize:100078, largePrimes:1574128 encountered
Relations: rels:1626678, finalFF:245535
Max relations in full relation-set: 28
Initial matrix: 200164 x 245535 with sparse part having weight 8965702.
Pruned matrix : 173620 x 174684 with weight 5510812.
Total sieving time: 3.45 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,135,5,0,0,0,0,0,0,0,0,1300000,1300000,25,25,43,43,2.3,2.3,50000
total time: 3.55 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

11764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647059<137>

1328613771450100770246781828785320550322299965818189662049<58>
8854872751704570530521108482218419399537655969341394293738394189902236177869491<79>

Number: 20003_137
N=11764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647059
  ( 137 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=1328613771450100770246781828785320550322299965818189662049 (pp58)
 r2=8854872751704570530521108482218419399537655969341394293738394189902236177869491 (pp79)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 6.22 hours.
Scaled time: 5.78 units (timescale=0.928).
Factorization parameters were as follows:
n: 11764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647059
m: 2000000000000000000000000000
c5: 25
c0: 12
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, 1850001)
Primes: RFBsize:100021, AFBsize:100128, largePrimes:1640721 encountered
Relations: rels:1668665, finalFF:226443
Max relations in full relation-set: 28
Initial matrix: 200213 x 226443 with sparse part having weight 12812781.
Pruned matrix : 188889 x 189954 with weight 9261748.
Total sieving time: 6.07 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,137,5,0,0,0,0,0,0,0,0,1300000,1300000,25,25,43,43,2.3,2.3,50000
total time: 6.22 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

2285122679533943884995836369403375958380690166981928865619552380550189111322270262039694582417662871<100>

40059260051938443901187811141767299<35>
57043556884754993123007599776067037686087494765852279033731828829<65>

Number: 20003_141
N=2285122679533943884995836369403375958380690166981928865619552380550189111322270262039694582417662871
  ( 100 digits)
Divisors found:
 r1=40059260051938443901187811141767299 (pp35)
 r2=57043556884754993123007599776067037686087494765852279033731828829 (pp65)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 3.69 hours.
Scaled time: 3.44 units (timescale=0.933).
Factorization parameters were as follows:
name: 20003_141
n: 2285122679533943884995836369403375958380690166981928865619552380550189111322270262039694582417662871
skew: 31367.47
# norm 6.42e+13
c5: 1440
c4: 75236316
c3: -4337450867666
c2: -75939829829144874
c1: 1832361831257217421219
c0: 16270129288624735982981380
# alpha -6.20
Y1: 10815828199
Y0: -17382273622225387341
# Murphy_E 3.72e-09
# M 1528662353311578042268050061954235525428090049383327581993882190980449819514204253607283249127063063
type: gnfs
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [750000, 1200001)
Primes: RFBsize:114155, AFBsize:113995, largePrimes:3892638 encountered
Relations: rels:3880924, finalFF:363769
Max relations in full relation-set: 28
Initial matrix: 228229 x 363769 with sparse part having weight 27334851.
Pruned matrix : 151504 x 152709 with weight 10165771.
Polynomial selection time: 0.25 hours.
Total sieving time: 3.25 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,99,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,26,26,48,48,2.5,2.5,50000
total time: 3.69 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

4836573211491198755748211680523749919543813705587359988916604311081614199708621860609493949<91>

1628892178337141932454034590460430447783<40>
2969240859409506695099012352547967144102089819518203<52>

Thu May 17 23:56:51 2007  
Thu May 17 23:56:51 2007  
Thu May 17 23:56:51 2007  Msieve v. 1.21
Thu May 17 23:56:51 2007  random seeds: ac10f82d 2d0dace6
Thu May 17 23:56:51 2007  factoring 4836573211491198755748211680523749919543813705587359988916604311081614199708621860609493949 (91 digits)
Thu May 17 23:56:52 2007  commencing quadratic sieve (91-digit input)
Thu May 17 23:56:52 2007  using multiplier of 29
Thu May 17 23:56:52 2007  using 32kb Intel Core sieve core
Thu May 17 23:56:52 2007  sieve interval: 36 blocks of size 32768
Thu May 17 23:56:52 2007  processing polynomials in batches of 6
Thu May 17 23:56:52 2007  using a sieve bound of 1719869 (64560 primes)
Thu May 17 23:56:52 2007  using large prime bound of 165107424 (27 bits)
Thu May 17 23:56:52 2007  using double large prime bound of 619412223763104 (42-50 bits)
Thu May 17 23:56:52 2007  using trial factoring cutoff of 50 bits
Thu May 17 23:56:52 2007  polynomial 'A' values have 12 factors
Fri May 18 01:24:55 2007  64901 relations (16394 full + 48507 combined from 770121 partial), need 64656
Fri May 18 01:24:55 2007  begin with 786515 relations
Fri May 18 01:24:55 2007  reduce to 162698 relations in 10 passes
Fri May 18 01:24:56 2007  attempting to read 162698 relations
Fri May 18 01:24:57 2007  recovered 162698 relations
Fri May 18 01:24:57 2007  recovered 145537 polynomials
Fri May 18 01:24:57 2007  attempting to build 64901 cycles
Fri May 18 01:24:57 2007  found 64901 cycles in 5 passes
Fri May 18 01:24:57 2007  distribution of cycle lengths:
Fri May 18 01:24:57 2007     length 1 : 16394
Fri May 18 01:24:57 2007     length 2 : 12017
Fri May 18 01:24:57 2007     length 3 : 11335
Fri May 18 01:24:57 2007     length 4 : 8916
Fri May 18 01:24:57 2007     length 5 : 6442
Fri May 18 01:24:57 2007     length 6 : 4126
Fri May 18 01:24:57 2007     length 7 : 2645
Fri May 18 01:24:57 2007     length 9+: 3026
Fri May 18 01:24:57 2007  largest cycle: 17 relations
Fri May 18 01:24:57 2007  matrix is 64560 x 64901 with weight 3877029 (avg 59.74/col)
Fri May 18 01:24:57 2007  filtering completed in 4 passes
Fri May 18 01:24:57 2007  matrix is 63178 x 63242 with weight 3716626 (avg 58.77/col)
Fri May 18 01:24:58 2007  saving the first 48 matrix rows for later
Fri May 18 01:24:59 2007  matrix is 63130 x 63242 with weight 2795295 (avg 44.20/col)
Fri May 18 01:24:59 2007  matrix includes 32 packed rows
Fri May 18 01:24:59 2007  using block size 25296 for processor cache size 4096 kB
Fri May 18 01:25:17 2007  lanczos halted after 1000 iterations
Fri May 18 01:25:17 2007  recovered 17 nontrivial dependencies
Fri May 18 01:25:17 2007  prp40 factor: 1628892178337141932454034590460430447783
Fri May 18 01:25:17 2007  prp52 factor: 2969240859409506695099012352547967144102089819518203
Fri May 18 01:25:17 2007  elapsed time 01:28:26

Core 2 Quad Q6600

352782624717439820453701966298868758723803154243973650848982107895441604203274505013730356962554225349<102>

213191226127907995641964733297<30>
1654770841768982551074895703714451566312262310294250115213002864298336917<73>

Number: 20003_143
N=352782624717439820453701966298868758723803154243973650848982107895441604203274505013730356962554225349
  ( 102 digits)
Divisors found:
 r1=213191226127907995641964733297 (pp30)
 r2=1654770841768982551074895703714451566312262310294250115213002864298336917 (pp73)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 5.26 hours.
Scaled time: 4.92 units (timescale=0.935).
Factorization parameters were as follows:
name: 20003_143
n: 352782624717439820453701966298868758723803154243973650848982107895441604203274505013730356962554225349
skew: 4896.42
# norm 1.65e+14
c5: 414540
c4: -1516615299
c3: -29953559408092
c2: 22157126830643012
c1: 319304041463428098440
c0: -322389009793145912969625
# alpha -6.51
Y1: 29065820179
Y0: -15345772329994469954
# Murphy_E 2.97e-09
# M 71309661546094854819531043168860349419349509853588268376742292160086044115824039856088598435052274054
type: gnfs
rlim: 1700000
alim: 1700000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 1700000/1700000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [850000, 1450001)
Primes: RFBsize:128141, AFBsize:128124, largePrimes:4351260 encountered
Relations: rels:4289278, finalFF:336862
Max relations in full relation-set: 28
Initial matrix: 256353 x 336862 with sparse part having weight 27590776.
Pruned matrix : 202920 x 204265 with weight 14425353.
Polynomial selection time: 0.31 hours.
Total sieving time: 4.63 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,101,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1700000,1700000,26,26,49,49,2.6,2.6,50000
total time: 5.26 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

1665278934221482098251457119067443796835970024979184013322231473771856786011656952539550374687760199833472106577851790174854288093255620316403<142>

1168960033824751568738318599288806794044795142960334049<55>
1424581581949223240674405227318668880791852510435284297667922774714016704281163739428947<88>

Number: n
N=1665278934221482098251457119067443796835970024979184013322231473771856786011656952539550374687760199833472106577851790174854288093255620316403
  ( 142 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=1168960033824751568738318599288806794044795142960334049 (pp55)
 r2=1424581581949223240674405227318668880791852510435284297667922774714016704281163739428947 (pp88)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 9.47 hours.
Scaled time: 12.92 units (timescale=1.364).
Factorization parameters were as follows:
name: KA_2_0_143_3
n: 1665278934221482098251457119067443796835970024979184013322231473771856786011656952539550374687760199833472106577851790174854288093255620316403
skew: 1.72
deg: 5
c5: 1
c0: 15
m: 100000000000000000000000000000
type: snfs
rlim: 4000000
alim: 4000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4000000/4000000
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:283146, AFBsize:282687, largePrimes:6448372 encountered
Relations: rels:6058655, finalFF:650499
Max relations in full relation-set: 28
Initial matrix: 565897 x 650499 with sparse part having weight 22096768.
Pruned matrix : 435350 x 438243 with weight 11275494.
Total sieving time: 7.48 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.61 hours.
Total square root time: 0.22 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,4000000,4000000,28,28,48,48,2.5,2.5,100000
total time: 9.47 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

1183999652926768495616698876252051229605874742718666658960661269213398956494208102909274279905772503661905475316163992277361<124>

37217298101001103011342694765763<32>
31813154456124267948681707302764451170058560372489661494512147777300060017072412206709935547<92>

Number: 20003_147
N=1183999652926768495616698876252051229605874742718666658960661269213398956494208102909274279905772503661905475316163992277361
  ( 124 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=37217298101001103011342694765763 (pp32)
 r2=31813154456124267948681707302764451170058560372489661494512147777300060017072412206709935547 (pp92)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 16.66 hours.
Scaled time: 15.51 units (timescale=0.931).
Factorization parameters were as follows:
n: 1183999652926768495616698876252051229605874742718666658960661269213398956494208102909274279905772503661905475316163992277361
m: 200000000000000000000000000000
c5: 25
c0: 12
skew: 1
type: snfs
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [900000, 1950001)
Primes: RFBsize:135072, AFBsize:135133, largePrimes:2850480 encountered
Relations: rels:2879930, finalFF:356257
Max relations in full relation-set: 28
Initial matrix: 270269 x 356257 with sparse part having weight 24048209.
Pruned matrix : 233955 x 235370 with weight 13959048.
Total sieving time: 16.36 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,45,45,2.3,2.3,75000
total time: 16.66 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

84215921162653090923161345791936118708491721223162198728702917790987256948208915116143433713706768557404516474631407<116>

22142194087798266515774322687941954125664442651683<50>
3803413556430766247732445539023188610808389140958333384583058412229<67>

Number: n
N=84215921162653090923161345791936118708491721223162198728702917790987256948208915116143433713706768557404516474631407
  ( 116 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=22142194087798266515774322687941954125664442651683 (pp50)
 r2=3803413556430766247732445539023188610808389140958333384583058412229 (pp67)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 12.42 hours.
Scaled time: 16.92 units (timescale=1.363).
Factorization parameters were as follows:
name: KA_2_0_147_3
n: 84215921162653090923161345791936118708491721223162198728702917790987256948208915116143433713706768557404516474631407
skew: 0.54
deg: 5
c5: 125
c0: 6
m: 200000000000000000000000000000
type: snfs
rlim: 4500000
alim: 4500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1100001)
Primes: RFBsize:315948, AFBsize:315516, largePrimes:7024094 encountered
Relations: rels:6715776, finalFF:774140
Max relations in full relation-set: 28
Initial matrix: 631529 x 774140 with sparse part having weight 27775308.
Pruned matrix : 477072 x 480293 with weight 12291778.
Total sieving time: 10.14 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 2.01 hours.
Total square root time: 0.08 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,4500000,4500000,28,28,48,48,2.5,2.5,100000
total time: 12.42 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

4106776180698151950718685831622176591375770020533880903490759753593429158110882956878850102669404517453798767967145790554414784394250513347022587269<148>

1824453361909318934020125483109157972584403451163125882265065433<64>
2250962543871412830161298255938234659251521136933600855735504876723568950774217694093<85>

Number: n
N=4106776180698151950718685831622176591375770020533880903490759753593429158110882956878850102669404517453798767967145790554414784394250513347022587269
  ( 148 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=1824453361909318934020125483109157972584403451163125882265065433 (pp64)
 r2=2250962543871412830161298255938234659251521136933600855735504876723568950774217694093 (pp85)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 16.18 hours.
Scaled time: 22.14 units (timescale=1.368).
Factorization parameters were as follows:
name: KA_2_0_149_3
n: 4106776180698151950718685831622176591375770020533880903490759753593429158110882956878850102669404517453798767967145790554414784394250513347022587269
skew: 1.08
deg: 5
c5: 2
c0: 3
m: 1000000000000000000000000000000
type: snfs
rlim: 4500000
alim: 4500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4500000/4500000
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:315948, AFBsize:315821, largePrimes:6583994 encountered
Relations: rels:6446442, finalFF:849439
Max relations in full relation-set: 28
Initial matrix: 631834 x 849439 with sparse part having weight 29055982.
Pruned matrix : 406919 x 410142 with weight 10416091.
Total sieving time: 14.39 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 1.56 hours.
Total square root time: 0.07 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,4500000,4500000,28,28,48,48,2.5,2.5,100000
total time: 16.18 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

13715250572478845705802125321480208820321833385402835338596419671437335621017472336038044329692466760525852970011068555409269090654363<134>

764892666772199274490037661811796227973<39>
17930947920257063532703516829435538148362253000748922501535367754063948223945638948206096726431<95>

Number: 20003_152
N=13715250572478845705802125321480208820321833385402835338596419671437335621017472336038044329692466760525852970011068555409269090654363
  ( 134 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=764892666772199274490037661811796227973 (pp39)
 r2=17930947920257063532703516829435538148362253000748922501535367754063948223945638948206096726431 (pp95)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 17.03 hours.
Scaled time: 15.86 units (timescale=0.931).
Factorization parameters were as follows:
n: 13715250572478845705802125321480208820321833385402835338596419671437335621017472336038044329692466760525852970011068555409269090654363
m: 2000000000000000000000000000000
c5: 25
c0: 12
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, 2200001)
Primes: RFBsize:176302, AFBsize:176368, largePrimes:5425155 encountered
Relations: rels:5251337, finalFF:405163
Max relations in full relation-set: 28
Initial matrix: 352734 x 405163 with sparse part having weight 35624313.
Pruned matrix : 330434 x 332261 with weight 25625210.
Total sieving time: 16.28 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.64 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 17.03 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

584803038968501293129681695754773285044568217236351897459123080525426305698095361365508658479597554195571988051288752034745016639946342805365163<144>

32826981394635607932036482961957538515492937504121287<53>
17814706504328977485410892424619338104938573843248529336228689546358190125162267028033028349<92>

Number: n
N=584803038968501293129681695754773285044568217236351897459123080525426305698095361365508658479597554195571988051288752034745016639946342805365163
  ( 144 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=32826981394635607932036482961957538515492937504121287 (pp53)
 r2=17814706504328977485410892424619338104938573843248529336228689546358190125162267028033028349 (pp92)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 20.71 hours.
Scaled time: 30.05 units (timescale=1.451).
Factorization parameters were as follows:
name: KA_2_0_153_3
n: 584803038968501293129681695754773285044568217236351897459123080525426305698095361365508658479597554195571988051288752034745016639946342805365163
skew: 1.72
deg: 5
c5: 1
c0: 15
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, 1000001)
Primes: RFBsize:183072, AFBsize:182886, largePrimes:6936703 encountered
Relations: rels:6500743, finalFF:530318
Max relations in full relation-set: 28
Initial matrix: 366022 x 530318 with sparse part having weight 39481451.
Pruned matrix : 243009 x 244903 with weight 21177995.
Total sieving time: 18.57 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.83 hours.
Total square root time: 0.15 hours, sqrts: 3. [2 more had ODD EXPONENTS!]
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000
total time: 20.71 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

8695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478261<154>

1111621257288759311574554337362336029819886569891919818320899807496833211589<76>
7822495402005635711932598925376137473625943127630073484216479297850123896513649<79>

Number: n
N=8695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478261
  ( 154 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=1111621257288759311574554337362336029819886569891919818320899807496833211589 (pp76)
 r2=7822495402005635711932598925376137473625943127630073484216479297850123896513649 (pp79)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 18.69 hours.
Scaled time: 27.04 units (timescale=1.447).
Factorization parameters were as follows:
name: KA_2_0_154_3
n: 8695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478261
skew: 1.08
deg: 5
c5: 2
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, 900001)
Primes: RFBsize:183072, AFBsize:183201, largePrimes:6621471 encountered
Relations: rels:6096384, finalFF:453480
Max relations in full relation-set: 28
Initial matrix: 366338 x 453480 with sparse part having weight 31199933.
Pruned matrix : 295381 x 297276 with weight 17548748.
Total sieving time: 16.52 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.97 hours.
Total square root time: 0.05 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000
total time: 18.69 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

1688106197842152549573406988119016396060333411604709131217781845306485449637067043642538969869271948234073395843618772306114342900897<133>

43135946585687043827750397163601212657<38>
39134557867852232577558454632800142255822036800416522850859882961102818904957125240913476934321<95>

GMP-ECM 5.0 [powered by GMP 4.1.2] [ECM]
Input number is 1688106197842152549573406988119016396060333411604709131217781845306485449637067043642538969869271948234073395843618772306114342900897 (133 digits)
Using B1=1358500, B2=1299073298, polynomial Dickson(6), sigma=3378444485
Step 1 took 22570ms
Step 2 took 16890ms
********** Factor found in step 2: 43135946585687043827750397163601212657
Found probable prime factor of 38 digits: 43135946585687043827750397163601212657
Probable prime cofactor 39134557867852232577558454632800142255822036800416522850859882961102818904957125240913476934321 has 95 digits

2304580664188079575933828712914557890427023054102125976725828086702081005763818534064969056410847081186110800103490795263920600961553242811379557<145>

59573402681404398007654718102866364909302643<44>
38684724398115424654512004896712075071304442379362845270019006771965113736013768988351468162809875399<101>

Number: n
N=2304580664188079575933828712914557890427023054102125976725828086702081005763818534064969056410847081186110800103490795263920600961553242811379557
  ( 145 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=59573402681404398007654718102866364909302643 (pp44)
 r2=38684724398115424654512004896712075071304442379362845270019006771965113736013768988351468162809875399 (pp101)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 44.23 hours.
Scaled time: 60.55 units (timescale=1.369).
Factorization parameters were as follows:
name: KA_2_0_156_3
n: 2304580664188079575933828712914557890427023054102125976725828086702081005763818534064969056410847081186110800103490795263920600961553242811379557
skew: 0.43
deg: 5
c5: 200
c0: 3
m: 10000000000000000000000000000000
type: snfs
rlim: 4500000
alim: 4500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4500000/4500000
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:315948, AFBsize:316266, largePrimes:7406177 encountered
Relations: rels:7093105, finalFF:765139
Max relations in full relation-set: 28
Initial matrix: 632279 x 765139 with sparse part having weight 36970198.
Pruned matrix : 503294 x 506519 with weight 19243383.
Total sieving time: 39.27 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 4.31 hours.
Total square root time: 0.43 hours, sqrts: 4.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,4500000,4500000,28,28,48,48,2.5,2.5,100000
total time: 44.23 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

74145198542305396658275901698295772611505110457809528399464671666524555036127247989738304521744933102494615204955865070567692712639161269514089441353001583<155>

300244161062830630302818080353294695395582491459143920704439<60>
246949676822489123478546797860086337445136656832298441810501694114885422418729064737492466489097<96>

Number: n
N=74145198542305396658275901698295772611505110457809528399464671666524555036127247989738304521744933102494615204955865070567692712639161269514089441353001583
  ( 155 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=300244161062830630302818080353294695395582491459143920704439 (pp60)
 r2=246949676822489123478546797860086337445136656832298441810501694114885422418729064737492466489097 (pp96)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 32.43 hours.
Scaled time: 44.17 units (timescale=1.362).
Factorization parameters were as follows:
name: KA_2_0_159_3
n: 74145198542305396658275901698295772611505110457809528399464671666524555036127247989738304521744933102494615204955865070567692712639161269514089441353001583
skew: 1.08
deg: 5
c5: 2
c0: 3
m: 100000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
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:250150, AFBsize:250246, largePrimes:6994412 encountered
Relations: rels:6520555, finalFF:565351
Max relations in full relation-set: 28
Initial matrix: 500461 x 565351 with sparse part having weight 33244971.
Pruned matrix : 440405 x 442971 with weight 21278744.
Total sieving time: 28.78 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 3.24 hours.
Total square root time: 0.22 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 32.43 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

121525289333712574060203929849274253650679147008067862136662858454750139437642287196603579159652285468795971038414619211834083134495020362083<141>

23143371269685496536153160328427093498540901<44>
5250976096680145607463471043357442149484478476541758912748098433643075952275139383190561991897383<97>

Number: n
N=121525289333712574060203929849274253650679147008067862136662858454750139437642287196603579159652285468795971038414619211834083134495020362083
  ( 141 digits)
SNFS difficulty: 161 digits.
Divisors found:

Sat Oct 06 11:57:55 2007  prp44 factor: 23143371269685496536153160328427093498540901
Sat Oct 06 11:57:55 2007  prp97 factor: 5250976096680145607463471043357442149484478476541758912748098433643075952275139383190561991897383
Sat Oct 06 11:57:55 2007  elapsed time 01:40:44 (Msieve 1.26)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 43.82 hours.
Scaled time: 63.63 units (timescale=1.452).
Factorization parameters were as follows:
name: KA_2_0_160_3
n: 121525289333712574060203929849274253650679147008067862136662858454750139437642287196603579159652285468795971038414619211834083134495020362083
skew: 0.68
deg: 5
c5: 20
c0: 3
m: 100000000000000000000000000000000
type: snfs
rlim: 2800000
alim: 2800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2300000)
Primes: RFBsize:203362, AFBsize:203062, largePrimes:7438144 encountered
Relations: rels:6924431, finalFF:458969
Max relations in full relation-set: 28
Initial matrix: 406490 x 458969 with sparse part having weight 41917861.
Pruned matrix : 379962 x 382058 with weight 31649775.
Total sieving time: 43.56 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.5,2.5,100000
total time: 43.82 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

120380230025401109257480262956150585157601674612682704743329887274111098957392244601223977762344541983386102918213236693211619244817649899801309<144>

190635692847477990579123632346869310511<39>
631467424737264651495425260061946168071504561817690296672097889180937084893277408137330615731353547645619<105>

GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM]
Input number is 120380230025401109257480262956150585157601674612682704743329887274111098957392244601223977762344541983386102918213236693211619244817649899801309 (144 digits)
Using B1=4880000, B2=11416155670, polynomial Dickson(12), sigma=2651749020
Step 1 took 53025ms
Step 2 took 24046ms
********** Factor found in step 2: 190635692847477990579123632346869310511
Found probable prime factor of 39 digits: 190635692847477990579123632346869310511
Probable prime cofactor 631467424737264651495425260061946168071504561817690296672097889180937084893277408137330615731353547645619 has 105 digits

21245765563375598826627209676421511706991898631475774382088970749811624501271795003718048113424883666488605358151387167431213789800864519791523879097<149>

838305023383274289860418539450587157<36>
25343717347214324824522098723663613215893017202640604427624247481323908812513490062007103784101162836271292998421<113>

GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 21245765563375598826627209676421511706991898631475774382088970749811624501271795003718048113424883666488605358151387167431213789800864519791523879097 (149 digits)
Using B1=1495500, B2=1489660026, polynomial Dickson(6), sigma=1080719165
Step 1 took 24031ms
Step 2 took 12750ms
********** Factor found in step 2: 838305023383274289860418539450587157
Found probable prime factor of 36 digits: 838305023383274289860418539450587157
Probable prime cofactor 25343717347214324824522098723663613215893017202640604427624247481323908812513490062007103784101162836271292998421 has 113 digits

96735931896521673246753209867323320086123873399038844839615081198086925909914926262118324884197380820104433849572081<116>

29139773847805639821445881025078673003<38>
245334893549794309989767836564265608087<39>
13531387192579406360450949532177073435621<41>

Number: 20003_166
N=96735931896521673246753209867323320086123873399038844839615081198086925909914926262118324884197380820104433849572081
  ( 116 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=29139773847805639821445881025078673003 (pp38)
 r2=245334893549794309989767836564265608087 (pp39)
 r3=13531387192579406360450949532177073435621 (pp41)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 149.93 hours.
Scaled time: 223.25 units (timescale=1.489).
Factorization parameters were as follows:
n: 96735931896521673246753209867323320086123873399038844839615081198086925909914926262118324884197380820104433849572081
m: 1000000000000000000000000000000000
c5: 20
c0: 3
skew: 1
type: snfsFactor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2500000, 6300001)
Primes: RFBsize:348513, AFBsize:348151, largePrimes:6025351 encountered
Relations: rels:6221740, finalFF:823022
Max relations in full relation-set: 28
Initial matrix: 696730 x 823022 with sparse part having weight 62738206.
Pruned matrix : 600136 x 603683 with weight 46382057.
Total sieving time: 130.43 hours.
Total relation processing time: 0.54 hours.
Matrix solve time: 18.63 hours.
Time per square root: 0.33 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,48,48,2.5,2.5,100000
total time: 149.93 hours.
 --------- CPU info (if available) ----------

ggnfs-0.77.1-20060513

DualCore Intel Core 2 Duo E6400, 1600 MHz
Windows XP and Cygwin

200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003<168>

337473788641314954387395638036113417304047480856561<51>
4690700023174550771994364525354487199388452766958125990189<58>
126343321023855007144178242728859599541361819987460022346207<60>

Number: 20003_167
N=200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003
  ( 168 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=337473788641314954387395638036113417304047480856561 (pp51)
 r2=4690700023174550771994364525354487199388452766958125990189 (pp58)
 r3=126343321023855007144178242728859599541361819987460022346207 (pp60)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 86.06 hours.
Scaled time: 79.78 units (timescale=0.927).
Factorization parameters were as follows:
n: 200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003
m: 2000000000000000000000000000000000
c5: 25
c0: 12
skew: 1
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3000000, 7200001)
Primes: RFBsize:412849, AFBsize:413001, largePrimes:6107027 encountered
Relations: rels:6383488, finalFF:940116
Max relations in full relation-set: 28
Initial matrix: 825914 x 940116 with sparse part having weight 55379558.
Pruned matrix : 732130 x 736323 with weight 40746913.
Total sieving time: 81.90 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 3.96 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.5,2.5,100000
total time: 86.06 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

770229599827497444400355684610278206306037865057800223119720684057433430688643333095830971437546971351065322021077376612518187060474132687<138>

17170380743133123257952990693559<32>
44858038464611919885751480065824250801088011690093127023208432690399488635724167714133938508092027766196393<107>

GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 770229599827497444400355684610278206306037865057800223119720684057433430688643333095830971437546971351065322021077376612518187060474132687 (138 digits)
Using B1=598000, B2=403537481, polynomial Dickson(3), sigma=3172473091
Step 1 took 6071ms
Step 2 took 2777ms
********** Factor found in step 2: 17170380743133123257952990693559
Found probable prime factor of 32 digits: 17170380743133123257952990693559
Probable prime cofactor 44858038464611919885751480065824250801088011690093127023208432690399488635724167714133938508092027766196393 has 107 digits

231830300220238785209226845948765503651327228468760867045322823693056682508403848382983655963834473165642749507360612031992581430392952358873304740929639503883157528689<168>

41713247973026961742658321646485423054431<41>
5557713951456074967962531890753686473889384220379793822875068616831334165905093911472798378503095080109303609626110094430409519<127>

Number: 20003_171
N=231830300220238785209226845948765503651327228468760867045322823693056682508403848382983655963834473165642749507360612031992581430392952358873304740929639503883157528689
  ( 168 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=41713247973026961742658321646485423054431 (pp41)
 r2=5557713951456074967962531890753686473889384220379793822875068616831334165905093911472798378503095080109303609626110094430409519 (pp127)
Version: GGNFS-0.77.1-20060513-k8
Total time: 206.25 hours.
Scaled time: 413.12 units (timescale=2.003).
Factorization parameters were as follows:
name: 20003_171
n: 231830300220238785209226845948765503651327228468760867045322823693056682508403848382983655963834473165642749507360612031992581430392952358873304740929639503883157528689
m: 10000000000000000000000000000000000
c5: 20
c0: 3
skew: 1
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3000000, 9300001)
Primes: RFBsize:412849, AFBsize:412656, largePrimes:6353030 encountered
Relations: rels:6686637, finalFF:976860
Max relations in full relation-set: 28
Initial matrix: 825571 x 976860 with sparse part having weight 78469523.
Pruned matrix : 705516 x 709707 with weight 60130180.
Total sieving time: 198.00 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 7.61 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000
total time: 206.25 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista and Cygwin)

2038688044369829222997970682507770867298513631385825556065597947801529626727648928520417987398152430160280145186894637182533396599837130564806850470800751410551<160>

1377280097548571230432695973091803101076339<43>

1480227622542794165404399819785920618847153787232185974759390499635827513314206276438905310385107334421379192165686509<118>

Input number is 2038688044369829222997970682507770867298513631385825556065597947801529626727648928520417987398152430160280145186894637182533396599837130564806850470800751410551 (160 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1577510330
Step 1 took 74813ms
Step 2 took 42421ms
********** Factor found in step 2: 1377280097548571230432695973091803101076339
Found probable prime factor of 43 digits: 1377280097548571230432695973091803101076339
Composite cofactor 1480227622542794165404399819785920618847153787232185974759390499635827513314206276438905310385107334421379192165686509 has 118 digits

GMP-ECM 6.1.2

Pentium 4 2.4GHz, Windows 2000

1480227622542794165404399819785920618847153787232185974759390499635827513314206276438905310385107334421379192165686509<118>

10704249832674713026912742559336870309487534796404441<53>
138284106376553420246923079942434034576006381033927871198757392949<66>

r1=10704249832674713026912742559336870309487534796404441 (pp53)
 r2=138284106376553420246923079942434034576006381033927871198757392949 (pp66)

Number: N
N=1480227622542794165404399819785920618847153787232185974759390499635827513314206276438905310385107334421379192165686509
  ( 118 digits)
Divisors found:
 r1=10704249832674713026912742559336870309487534796404441 (pp53)
 r2=138284106376553420246923079942434034576006381033927871198757392949 (pp66)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 52.15 hours.
Scaled time: 98.15 units (timescale=1.882).
Factorization parameters were as follows:
name: N
n: 1480227622542794165404399819785920618847153787232185974759390499635827513314206276438905310385107334421379192165686509
skew: 33365.99
# norm 5.52e+15
c5: 8400
c4: 2858359922
c3: 69125290698979
c2: 2226394878652247136
c1: -27649659782574825693836
c0: -71117271795651997618937776
# alpha -4.79
Y1: 2892399891821
Y0: -44586966544883642201365
# Murphy_E 3.86e-10
# M 1116241208575494244563539100262926120008752083455990065001830398269407723172354643387959025093684663593340304927476381
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 10000
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, 2430001)
Primes: RFBsize:315948, AFBsize:315227, largePrimes:7757737 encountered
Relations: rels:7926431, finalFF:820826
Max relations in full relation-set: 28
Initial matrix: 631253 x 820826 with sparse part having weight 71065693.
Pruned matrix : 476037 x 479257 with weight 42894052.
Total sieving time: 46.30 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 5.31 hours.
Time per square root: 0.27 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: 52.15 hours.
 --------- CPU info (if available) ----------

19359086524678614176841514966981189422537787061982436423401729115724001590287995352658700834596309663793681380537664325920102415519942231731784189<146>

76852616085817677774513791387885482895603<41>
251898861882089203262483987189502786622824705946228241740108420753071099837412827838656218659332309040463<105>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1680173255
Step 1 took 84329ms
Step 2 took 29206ms
********** Factor found in step 2: 76852616085817677774513791387885482895603
Found probable prime factor of 41 digits: 76852616085817677774513791387885482895603
Probable prime cofactor 251898861882089203262483987189502786622824705946228241740108420753071099837412827838656218659332309040463 has 105 digits

GMP-ECM 6.2.1

Turion 64 X2 Mobile 1.8GHz, Gentoo Linux

1229141914860863274461436799929257454860175783121907829014044972676433004517910237519123211909602126913591106821382147424820716601392607077300869844532951<154>

3214888775730183633684484492940316319<37>
382327974808924344375250235945475131233497457127498460037175594820337444676213458154174274593752449576287105681456329<117>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3437713636
Step 1 took 86457ms
Step 2 took 30218ms
********** Factor found in step 2: 3214888775730183633684484492940316319
Found probable prime factor of 37 digits: 3214888775730183633684484492940316319
Probable prime cofactor 382327974808924344375250235945475131233497457127498460037175594820337444676213458154174274593752449576287105681456329 has 117 digits

GMP-ECM 6.2.1

Turion 64 X2 Mobile 1.8GHz, Gentoo Linux

42772514382257961034239397762997497807908637909279496995230864646378237344682307149425778994418186873115336085031758591928826536067922752839025642122372163647640026518958917<173>

221303620588838744540899263379<30>

193275258075082552732257542798544930147975742565477273667881259410088142299640908729176984976444019569373369657540183408799360677960504958362823<144>

GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]

Input number is 42772514382257961034239397762997497807908637909279496995230864646378237344682307149425778994418186873115336085031758591928826536067922752839025642122372163647640026518958917 (173 digits)

Using B1=5764801, B2=11416947370, polynomial Dickson(12), sigma=1348195423
Step 1 took 147022ms

Step 2 took 51451ms

********** Factor found in step 2: 221303620588838744540899263379

Found probable prime factor of 30 digits: 221303620588838744540899263379

Composite cofactor 193275258075082552732257542798544930147975742565477273667881259410088142299640908729176984976444019569373369657540183408799360677960504958362823 has 144 digits

193275258075082552732257542798544930147975742565477273667881259410088142299640908729176984976444019569373369657540183408799360677960504958362823<144>

207379590086116170683595680783934802558717377003150627710449<60>
931987848923914489652952527655347978675348054328016114007617991049256542266907254327<84>

Number: example
N = 193275258075082552732257542798544930147975742565477273667881259410088142299640908729176984976444019569373369657540183408799360677960504958362823 (144 digits)
Divisors found:
r1=207379590086116170683595680783934802558717377003150627710449 (pp60)
r2=931987848923914489652952527655347978675348054328016114007617991049256542266907254327 (pp84)
Version: Msieve v. 1.44
Total time: 411.51 hours.
Factorization parameters were as follows:
n: 193275258075082552732257542798544930147975742565477273667881259410088142299640908729176984976444019569373369657540183408799360677960504958362823
Y0: -5278616681732114164606461624
Y1: 12322655283556849
c0: -6467195995025504703971561987863948825
c1: 19578639065890971664526523764750
c2: -2314487309296226819312156
c3: -2177475343610852534
c4: 85404494757
c5: 47160
skew: 4270354.30
type: gnfs
Factor base limits: 15100000/15100000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [7550000, 16850000)
Total raw relations: 40101460
Relations: 5422748 relations
Pruned matrix : 3155218 x 3155443
Polynomial selection time: 0.00 hours.
Total sieving time: 378.09 hours.
Total relation processing time: 0.40 hours.
Matrix solve time: 27.30 hours.
time per square root: 5.72 hours.
Prototype def-par.txt line would be: gnfs,143,5,65,2000,1e-05,0.28,250,20,50000,3600,15100000,15100000,29,29,58,58,2.6,2.6,100000
total time: 411.51 hours.
 --------- CPU info (if available) ----------

Intel core i3, Windows 7

217396677973103088696307064618726149413513880278211938748556249954941159094940367789320784791815107241946281840724845499241828364088651729900197748199165699<156>

86895751811064544336849740319641090775480253420015628669829<59>
2501810197186437126229627022814289861260018713367709797946573918927451225309193178017466201869031<97>

Number: 20003_179
N = 217396677973103088696307064618726149413513880278211938748556249954941159094940367789320784791815107241946281840724845499241828364088651729900197748199165699 (156 digits)
SNFS difficulty: 180 digits.
Divisors found:
r1=86895751811064544336849740319641090775480253420015628669829 (pp59)
r2=2501810197186437126229627022814289861260018713367709797946573918927451225309193178017466201869031 (pp97)
Version: Msieve v. 1.44
Total time: 55.76 hours.
Factorization parameters were as follows:
n: 217396677973103088696307064618726149413513880278211938748556249954941159094940367789320784791815107241946281840724845499241828364088651729900197748199165699
m: 200000000000000000000000000000000000
deg: 5
c5: 625
c0: 3
skew: 0.34
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [3400000, 7700000)
Total raw relations: 18165715
Relations: 2384076 relations
Pruned matrix : 1388306 x 1388532
Polynomial selection time: 0.00 hours.
Total sieving time: 50.91 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 4.38 hours.
time per square root: 0.30 hours.
Prototype def-par.txt line would be: snfs,180,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000
total time: 55.76 hours.

Intel Core i3, Windows 7 home premium

424452330333802442304872510104661401162841809351689152461037449522245685174777998532399690839006129089109036231723574038187792028891235957665685899677650269563100536129<168>

360880371169402630105325305389368378564231281<45>
1176157985424367085220614176274745306343457486221056269990067414713580079192985994419522536405812661021796259633723616006609<124>

Number: 20003_180
N = 424452330333802442304872510104661401162841809351689152461037449522245685174777998532399690839006129089109036231723574038187792028891235957665685899677650269563100536129 (168 digits)
SNFS difficulty: 181 digits.
Divisors found:
r1=360880371169402630105325305389368378564231281 (pp45)
r2=1176157985424367085220614176274745306343457486221056269990067414713580079192985994419522536405812661021796259633723616006609 (pp124)
Version: Msieve v. 1.44
Total time: 68.33 hours.
Factorization parameters were as follows:
n: 424452330333802442304872510104661401162841809351689152461037449522245685174777998532399690839006129089109036231723574038187792028891235957665685899677650269563100536129
m: 1000000000000000000000000000000000000
deg: 5
c5: 2
c0: 3
skew: 1.08
type: snfs
lss: 1
rlim: 7100000
alim: 7100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5

Factor base limits: 7100000/7100000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [3550000, 7350000)
Total raw relations: 17999460
Relations: 2348892 relations
Pruned matrix : 1364054 x 1364279
Polynomial selection time: 0.00 hours.
Total sieving time: 63.35 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 3.93 hours.
time per square root: 0.88 hours.
Prototype def-par.txt line would be: snfs,181,5,0,0,0,0,0,0,0,0,7100000,7100000,28,28,53,53,2.5,2.5,100000
total time: 68.33 hours.

20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003<182>

5511837461824511266624821670808689<34>

3628554023684809875041241575766798527068771437488933383862974033044444603054287454851457985502624509381866036022786923582580265165248809496728968627<148>

GMP-ECM 6.1.2 [powered by GMP 4.2.1] [ECM]
Input number is 20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003 (182 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2741714901
Step 1 took 29858ms
Step 2 took 12367ms
********** Factor found in step 2: 5511837461824511266624821670808689
Found probable prime factor of 34 digits: 5511837461824511266624821670808689
Composite cofactor 3628554023684809875041241575766798527068771437488933383862974033044444603054287454851457985502624509381866036022786923582580265165248809496728968627 has 148 digits

Core 2 Quad Q6600

3628554023684809875041241575766798527068771437488933383862974033044444603054287454851457985502624509381866036022786923582580265165248809496728968627<148>

1147137242371709631910079611455202628254248681165795782894651629<64>
3163138541455391797066485435516955368132165099527456308975977784797173528030758604063<85>

Number: 20003_181
N = 3628554023684809875041241575766798527068771437488933383862974033044444603054287454851457985502624509381866036022786923582580265165248809496728968627 (148 digits)
SNFS difficulty: 182 digits.
Divisors found:
r1=1147137242371709631910079611455202628254248681165795782894651629 (pp64)
r2=3163138541455391797066485435516955368132165099527456308975977784797173528030758604063 (pp85)
Version: Msieve v. 1.44
Total time: 74.50 hours.
Factorization parameters were as follows:
n: 3628554023684809875041241575766798527068771437488933383862974033044444603054287454851457985502624509381866036022786923582580265165248809496728968627
m: 1000000000000000000000000000000000000
deg: 5
c5: 20
c0: 3
skew: 0.68
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [3700000, 9700000)
Total raw relations: 19153062
Relations: 2593520 relations
Pruned matrix : 1543830 x 1544055
Polynomial selection time: 0.00 hours.
Total sieving time: 68.80 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 5.18 hours.
time per square root: 0.34 hours.
Prototype def-par.txt line would be: snfs,182,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 74.50 hours.
 --------- CPU info (if available) ----------

162119952559451128664297370730249211723742928665713458673949989856777959575832263109193734714140858353475737780596207284346400169562377754705897646013791039736405137649<168>

325612568869149323675616094472872656162481<42>
497892182486974750287792449089666784458187470962260411347366511635973641176575824646685926038156271581256219799204240731569729<126>

Number: 20003_182
N = 162119952559451128664297370730249211723742928665713458673949989856777959575832263109193734714140858353475737780596207284346400169562377754705897646013791039736405137649 (168 digits)
SNFS difficulty: 183 digits.
Divisors found:
r1=325612568869149323675616094472872656162481 (pp42)
r2=497892182486974750287792449089666784458187470962260411347366511635973641176575824646685926038156271581256219799204240731569729 (pp126)
Version: Msieve v. 1.44
Total time: 78.90 hours.
Factorization parameters were as follows:
n: 162119952559451128664297370730249211723742928665713458673949989856777959575832263109193734714140858353475737780596207284346400169562377754705897646013791039736405137649
m: 1000000000000000000000000000000000000
deg: 5
c5: 200
c0: 3
skew: 0.43
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [3800000, 10100000)
Total raw relations: 19133196
Relations: 2683432 relations
Pruned matrix : 1595529 x 1595753
Polynomial selection time: 0.00 hours.
Total sieving time: 72.66 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 5.72 hours.
time per square root: 0.33 hours.
Prototype def-par.txt line would be: snfs,183,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,100000
total time: 78.90 hours.
 --------- CPU info (if available) ----------

10383794684335241331660343852477825071837476098475179349568126011183110301835025930451375125360045787211915217861679900132139459136771037<137>

16450357456538149478222257267964459<35>
56831071349735800699564104034197250430260949<44>
11106952378085416134328784349105056515147150726616078638907<59>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1916602259
Step 1 took 59187ms
Step 2 took 21512ms
********** Factor found in step 2: 56831071349735800699564104034197250430260949
Found probable prime factor of 44 digits: 56831071349735800699564104034197250430260949
Composite cofactor 182713336872251556937124341395782902015287266671894633925232526091403812179727966275170606313 has 93 digits


Tue Jun 24 18:53:10 2008  
Tue Jun 24 18:53:10 2008  
Tue Jun 24 18:53:10 2008  Msieve v. 1.36
Tue Jun 24 18:53:10 2008  random seeds: 93ee3b85 0329cb0a
Tue Jun 24 18:53:10 2008  factoring 182713336872251556937124341395782902015287266671894633925232526091403812179727966275170606313 (93 digits)
Tue Jun 24 18:53:11 2008  no P-1/P+1/ECM available, skipping
Tue Jun 24 18:53:11 2008  commencing quadratic sieve (93-digit input)
Tue Jun 24 18:53:11 2008  using multiplier of 10
Tue Jun 24 18:53:11 2008  using 64kb Opteron sieve core
Tue Jun 24 18:53:11 2008  sieve interval: 18 blocks of size 65536
Tue Jun 24 18:53:11 2008  processing polynomials in batches of 6
Tue Jun 24 18:53:11 2008  using a sieve bound of 1884611 (70588 primes)
Tue Jun 24 18:53:11 2008  using large prime bound of 220499487 (27 bits)
Tue Jun 24 18:53:11 2008  using double large prime bound of 1042638218764623 (42-50 bits)
Tue Jun 24 18:53:11 2008  using trial factoring cutoff of 50 bits
Tue Jun 24 18:53:11 2008  polynomial 'A' values have 12 factors
Tue Jun 24 21:54:01 2008  70947 relations (18129 full + 52818 combined from 924198 partial), need 70684
Tue Jun 24 21:54:01 2008  begin with 942327 relations
Tue Jun 24 21:54:02 2008  reduce to 180003 relations in 11 passes
Tue Jun 24 21:54:02 2008  attempting to read 180003 relations
Tue Jun 24 21:54:04 2008  recovered 180003 relations
Tue Jun 24 21:54:04 2008  recovered 162383 polynomials
Tue Jun 24 21:54:04 2008  attempting to build 70947 cycles
Tue Jun 24 21:54:04 2008  found 70947 cycles in 6 passes
Tue Jun 24 21:54:05 2008  distribution of cycle lengths:
Tue Jun 24 21:54:05 2008     length 1 : 18129
Tue Jun 24 21:54:05 2008     length 2 : 12833
Tue Jun 24 21:54:05 2008     length 3 : 12206
Tue Jun 24 21:54:05 2008     length 4 : 9619
Tue Jun 24 21:54:05 2008     length 5 : 6914
Tue Jun 24 21:54:05 2008     length 6 : 4575
Tue Jun 24 21:54:05 2008     length 7 : 2879
Tue Jun 24 21:54:05 2008     length 9+: 3792
Tue Jun 24 21:54:05 2008  largest cycle: 20 relations
Tue Jun 24 21:54:05 2008  matrix is 70588 x 70947 (18.9 MB) with weight 4387637 (61.84/col)
Tue Jun 24 21:54:05 2008  sparse part has weight 4387637 (61.84/col)
Tue Jun 24 21:54:06 2008  filtering completed in 4 passes
Tue Jun 24 21:54:06 2008  matrix is 66689 x 66753 (17.8 MB) with weight 4139213 (62.01/col)
Tue Jun 24 21:54:06 2008  sparse part has weight 4139213 (62.01/col)
Tue Jun 24 21:54:07 2008  saving the first 48 matrix rows for later
Tue Jun 24 21:54:07 2008  matrix is 66641 x 66753 (10.8 MB) with weight 3149445 (47.18/col)
Tue Jun 24 21:54:07 2008  sparse part has weight 2163279 (32.41/col)
Tue Jun 24 21:54:07 2008  matrix includes 64 packed rows
Tue Jun 24 21:54:07 2008  using block size 21845 for processor cache size 512 kB
Tue Jun 24 21:54:07 2008  commencing Lanczos iteration
Tue Jun 24 21:54:07 2008  memory use: 10.0 MB
Tue Jun 24 21:54:45 2008  lanczos halted after 1055 iterations (dim = 66638)
Tue Jun 24 21:54:45 2008  recovered 16 nontrivial dependencies
Tue Jun 24 21:54:46 2008  prp35 factor: 16450357456538149478222257267964459
Tue Jun 24 21:54:46 2008  prp59 factor: 11106952378085416134328784349105056515147150726616078638907
Tue Jun 24 21:54:46 2008  elapsed time 03:01:36

GMP-ECM 6.2.1, Msieve 1.36

Turion 64 X2 Mobile 1.8GHz, Gentoo Linux

42174822000091876424093964203336048165117324365766001011922853285145707203506291332644631820534815664160562903177049555670641530296985671049<140>

20134967641613105163416519618269991614702019<44>
2094605899089145833509298930888551259266468064190461646178542207742096721296987095217288855538371<97>

Number: 20003_186
N = 42174822000091876424093964203336048165117324365766001011922853285145707203506291332644631820534815664160562903177049555670641530296985671049 (140 digits)
SNFS difficulty: 187 digits.
Divisors found:
r1=20134967641613105163416519618269991614702019 (pp44)
r2=2094605899089145833509298930888551259266468064190461646178542207742096721296987095217288855538371 (pp97)
Version: Msieve v. 1.44
Total time: 79.43 hours.
Factorization parameters were as follows:
n: 42174822000091876424093964203336048165117324365766001011922853285145707203506291332644631820534815664160562903177049555670641530296985671049
m: 10000000000000000000000000000000000000
deg: 5
c5: 20
c0: 3
skew: 0.68
type: snfs
lss: 1
rlim: 8900000
alim: 8900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8900000/8900000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [4450000, 13050000)
Total raw relations: 21666965
Relations: 3304322 relations
Pruned matrix : 1966078 x 1966303
Polynomial selection time: 0.00 hours.
Total sieving time: 69.51 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 9.32 hours.
time per square root: 0.38 hours.
Prototype def-par.txt line would be: snfs,187,5,0,0,0,0,0,0,0,0,8900000,8900000,28,28,54,54,2.5,2.5,100000
total time: 79.43 hours.
 --------- CPU info (if available) ----------

347894663913844952782778683854301671742830576560259319032831336588373394539580250663498676745407975198296473997289357808912083503463159002002591154893<150>

4899431565604784118723228083483<31>
389595763391679786994327160166767<33>
182258522814260407226204545556975019230375927589496525253684233311399812906067616297913<87>

Run 36 out of 400:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2035307540
Step 1 took 65505ms
Step 2 took 23306ms
********** Factor found in step 2: 389595763391679786994327160166767
Found probable prime factor of 33 digits: 389595763391679786994327160166767
Composite cofactor 892963159776687131393840486008345043606346819740723588402257539086480818900933172950722429418960789782883834562670979 has 117 digits

Run 94 out of 400:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1333517547
Step 1 took 48173ms
Step 2 took 18751ms
********** Factor found in step 2: 4899431565604784118723228083483
Found probable prime factor of 31 digits: 4899431565604784118723228083483
Probable prime cofactor 182258522814260407226204545556975019230375927589496525253684233311399812906067616297913 has 87 digits

GMP-ECM 6.2.1

Sempron , Windows XP

15096988907233357495521287258396184736155032772962973177413972069504983979832606332318573583018636209111156665595477<116>

419817276608201618522516989479656415256109781516871114787<57>
35960856659366982010140181518614170249139085672467809368871<59>

Number: 20003_189
N=15096988907233357495521287258396184736155032772962973177413972069504983979832606332318573583018636209111156665595477
  ( 116 digits)
Divisors found:
 r1=419817276608201618522516989479656415256109781516871114787 (pp57)
 r2=35960856659366982010140181518614170249139085672467809368871 (pp59)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 26.59 hours.
Scaled time: 56.99 units (timescale=2.143).
Factorization parameters were as follows:
name: 20003_189
n: 15096988907233357495521287258396184736155032772962973177413972069504983979832606332318573583018636209111156665595477
skew: 41912.62
# norm 2.16e+15
c5: 6360
c4: -1373737086
c3: -45296079427237
c2: 3778123322489630234
c1: -16523333732336258468648
c0: -33305705182922434771711568
# alpha -4.95
Y1: 311998665473
Y0: -18840262728057601590579
# Murphy_E 5.40e-10
# M 9806237666384931345996401187694326584755524337853627549119046455930816589581929721798263470708982718933220092999579
type: gnfs
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 75000
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1800000, 3225001)
Primes: RFBsize:256726, AFBsize:256878, largePrimes:7669673 encountered
Relations: rels:7649278, finalFF:642547
Max relations in full relation-set: 28
Initial matrix: 513683 x 642547 with sparse part having weight 57962084.
Pruned matrix : 414171 x 416803 with weight 36292501.
Total sieving time: 25.12 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.19 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3600000,3600000,27,27,50,50,2.4,2.4,75000
total time: 26.59 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

251851401703663285761514240136061506854053485290273840780926733805685386306485284523078466995371521771258222930462878648352414927673404558580937080548821699445265137656997131973521<180>

209094547936744449194474908906729<33>

1204485741923092584911687923487690778909963227537014315607526677383436191113446013891831878203679688385334440434720800302150846416269081049293062249<148>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3778450102
Step 1 took 90372ms
Step 2 took 30155ms
********** Factor found in step 2: 209094547936744449194474908906729
Found probable prime factor of 33 digits: 209094547936744449194474908906729
Composite cofactor 1204485741923092584911687923487690778909963227537014315607526677383436191113446013891831878203679688385334440434720800302150846416269081049293062249 has 148 digits

GMP-ECM 6.2.1

Sempron, Windows XP

1204485741923092584911687923487690778909963227537014315607526677383436191113446013891831878203679688385334440434720800302150846416269081049293062249<148>

34966959780535052264850174530936020777783<41>
34446395954434388140001513015465553314448279869307180102939860821079122131241949069764159546294081893118303<107>

Number: 20003_190
N = 1204485741923092584911687923487690778909963227537014315607526677383436191113446013891831878203679688385334440434720800302150846416269081049293062249 (148 digits)
SNFS difficulty: 191 digits.
Divisors found:
r1=34966959780535052264850174530936020777783 (pp41)
r2=34446395954434388140001513015465553314448279869307180102939860821079122131241949069764159546294081893118303 (pp107)
Version: Msieve v. 1.44
Total time: 81.05 hours.
Factorization parameters were as follows:
n:
1204485741923092584911687923487690778909963227537014315607526677383436191113446013891831878203679688385334440434720800302150846416269081049293062249
m: 100000000000000000000000000000000000000
deg: 5
c5: 2
c0: 3
skew: 1.08
type: snfs
lss: 1
rlim: 10400000
alim: 10400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10400000/10400000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [5200000, 13800000)
Total raw relations: 21509198
Relations: 2963870 relations
Pruned matrix : 1847090 x 1847316
Polynomial selection time: 0.00 hours.
Total sieving time: 70.94 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 8.42 hours.
time per square root: 1.47 hours.
Prototype def-par.txt line would be: snfs,191,5,0,0,0,0,0,0,0,0,10400000,10400000,28,28,54,54,2.5,2.5,100000
total time: 81.05 hours.
 --------- CPU info (if available) ----------

54782861692897004008061414852882905714697012464573687355108957315704444371354910021609154361681966074234770995126317366180066704989387732067710525962746893841375717997<167>

2980061483271130133454822323000539259581<40>

18383131354982444551956076518958438866176346336034655261991448351404481492241607264551622466419738184569706208252244605090183537<128>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=134908296
Step 1 took 83149ms
Step 2 took 27752ms
********** Factor found in step 2: 2980061483271130133454822323000539259581
Found probable prime factor of 40 digits: 2980061483271130133454822323000539259581
Composite cofactor 18383131354982444551956076518958438866176346336034655261991448351404481492241607264551622466419738184569706208252244605090183537 has 128 digits

GMP-ECM 6.2.1

Sempron, Windows XP

18383131354982444551956076518958438866176346336034655261991448351404481492241607264551622466419738184569706208252244605090183537<128>

182806214988875869300773608643861228898368769920609146878022777<63>
100560756952935629434227230943212354457451323996998349267619421881<66>

Number: 20003_191
N=18383131354982444551956076518958438866176346336034655261991448351404481492241607264551622466419738184569706208252244605090183537
  ( 128 digits)
Divisors found:
 r1=182806214988875869300773608643861228898368769920609146878022777 (pp63)
 r2=100560756952935629434227230943212354457451323996998349267619421881 (pp66)
Version: Msieve-1.40
Total time: 93.02 hours.
Scaled time: 161.39 units (timescale=1.735).
Factorization parameters were as follows:
# Murphy_E = 1.111965e-10, selected by Jeff Gilchrist
n: 18383131354982444551956076518958438866176346336034655261991448351404481492241607264551622466419738184569706208252244605090183537
Y0: -3310983359586160356951906
Y1: 106136767483589
c0: 1100376690755724515179049294969755
c1: 9384585766997979918145923803
c2: 12785932205895746598243
c3: -47932562596126499
c4: -24806057326
c5: 46200
skew: 654762.88
type: gnfs
# selected mechanically
rlim: 8300000
alim: 8300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8300000/8300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved algebraic special-q in [4150000, 8350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1229067 x 1229315
Total sieving time: 89.81 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 2.09 hours.
Time per square root: 0.83 hours.
Prototype def-par.txt line would be:
gnfs,127,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,8300000,8300000,28,28,53,53,2.5,2.5,100000
total time: 93.02 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

15073605817840033569199949881229962347014274089616976082176654050651877148528037324552007740796428350073884248365356236452986107281851272748275205455295564844234221<164>

10356144553255211560838847446569517<35>

1455522925575811754655315825187997365065439919940867408609722558444730235468189624497400802537194515833119641347147862725255416513<130>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1047461786
Step 1 took 71714ms
Step 2 took 25615ms
********** Factor found in step 2: 10356144553255211560838847446569517
Found probable prime factor of 35 digits: 10356144553255211560838847446569517
Composite cofactor 1455522925575811754655315825187997365065439919940867408609722558444730235468189624497400802537194515833119641347147862725255416513 has 130 digits

GMP-ECM 6.2.1

Sempron, Windows XP

1455522925575811754655315825187997365065439919940867408609722558444730235468189624497400802537194515833119641347147862725255416513<130>

34876652767087367824771974117100355091162711256918297<53>
41733446592368214066530327214400601607954236617362271592609176269988064074729<77>

Number: 20003_192
N = 1455522925575811754655315825187997365065439919940867408609722558444730235468189624497400802537194515833119641347147862725255416513 (130 digits)
Divisors found:
r1=34876652767087367824771974117100355091162711256918297 (pp53)
r2=41733446592368214066530327214400601607954236617362271592609176269988064074729 (pp77)
Version: Msieve v. 1.44
Total time: 73.39 hours.
Factorization parameters were as follows:
# Murphy_E = 9.051537e-11, selected by Jeff Gilchrist
n: 1455522925575811754655315825187997365065439919940867408609722558444730235468189624497400802537194515833119641347147862725255416513
Y0: -8049125284187443327156184
Y1: 193931526309517
c0: -278666818250518373561764913433555
c1: 3912957804861604662604954431
c2: -5599279232453505529919
c3: -56252619107943095
c4: -329669342
c5: 43080
skew: 484355.12
type: gnfs
# selected mechanically
rlim: 9300000
alim: 9300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9300000/9300000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [4650000, 9250000)
Total raw relations: 17241624
Relations: 2421428 relations
Pruned matrix : 1400787 x 1401012
Polynomial selection time: 0.00 hours.
Total sieving time: 68.48 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 4.21 hours.
time per square root: 0.53 hours.
Prototype def-par.txt line would be: gnfs,129,5,65,2000,1e-05,0.28,250,20,50000,3600,9300000,9300000,28,28,53,53,2.5,2.5,100000
total time: 73.39 hours.
 --------- CPU info (if available) ----------

Intel Core i3 CPU M350 @ 2.27 Ghz; WIndows 7 Home Premium

1121259765896650511089383758598218967501967808863102443564553672696080395158866492691338724906859727964961364705439128677348371183067258003530270852836665353564918996891195251739<178>

13204518309653988285253533541223281210472029154719159416351911592177934839932596309784809<89>
84914855627628876822887170020630119458401404969220347791519669735345970257922349845596771<89>

Number: 20003_193
N = 1121259765896650511089383758598218967501967808863102443564553672696080395158866492691338724906859727964961364705439128677348371183067258003530270852836665353564918996891195251739 (178 digits)
SNFS difficulty: 194 digits.
Divisors found:
r1=13204518309653988285253533541223281210472029154719159416351911592177934839932596309784809 (pp89)
r2=84914855627628876822887170020630119458401404969220347791519669735345970257922349845596771 (pp89)
Version: Msieve v. 1.44
Total time: 150.65 hours.
Factorization parameters were as follows:
n: 1121259765896650511089383758598218967501967808863102443564553672696080395158866492691338724906859727964961364705439128677348371183067258003530270852836665353564918996891195251739
m: 100000000000000000000000000000000000000
deg: 5
c5: 2000
c0: 3
skew: 0.27
type: snfs
lss: 1
rlim: 11700000
alim: 11700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5

Factor base limits: 11700000/11700000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [5850000, 17750000)
Total raw relations: 23674719
Relations: 3479990 relations
Pruned matrix : 2190955 x 2191180
Polynomial selection time: 0.00 hours.
Total sieving time: 136.51 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 12.31 hours.
time per square root: 1.58 hours.
Prototype def-par.txt line would be: snfs,194,5,0,0,0,0,0,0,0,0,11700000,11700000,28,28,55,55,2.5,2.5,100000
total time: 150.65 hours.
 --------- CPU info (if available) ----------

2355998796433684043433916754819155439271356874908756261227358227215880822393080326741541660759106061961245778730432937891733785280704982173683897<145>

95581846303913650684936313179348791612051241183194251<53>
24649019531831500007969147622486775132580007261905157612095323460036978593433099142373379147<92>

Sieving took ~15 cpu-days.

Thu Dec 16 00:55:04 2010  Msieve v. 1.47
Thu Dec 16 00:55:04 2010  random seeds: ef2ffc85 e1c3bce0
Thu Dec 16 00:55:04 2010  factoring 2355998796433684043433916754819155439271356874908756261227358227215880822393080326741541660759106061961245778730432937891733785280704982173683897 (145 digits)
Thu Dec 16 00:55:05 2010  no P-1/P+1/ECM available, skipping
Thu Dec 16 00:55:05 2010  commencing number field sieve (145-digit input)
Thu Dec 16 00:55:05 2010  R0: -200000000000000000000000000000000000000
Thu Dec 16 00:55:05 2010  R1:  1
Thu Dec 16 00:55:05 2010  A0:  3
Thu Dec 16 00:55:05 2010  A1:  0
Thu Dec 16 00:55:05 2010  A2:  0
Thu Dec 16 00:55:05 2010  A3:  0
Thu Dec 16 00:55:05 2010  A4:  0
Thu Dec 16 00:55:05 2010  A5:  625
Thu Dec 16 00:55:05 2010  skew 0.34, size 1.819e-13, alpha 0.450, combined = 2.894e-11 rroots = 1
Thu Dec 16 00:55:05 2010
Thu Dec 16 00:55:05 2010  commencing relation filtering
Thu Dec 16 00:55:05 2010  estimated available RAM is 8095.5 MB
Thu Dec 16 00:55:05 2010  commencing duplicate removal, pass 1
Thu Dec 16 00:59:29 2010  found 3778985 hash collisions in 24493193 relations
Thu Dec 16 01:00:34 2010  commencing duplicate removal, pass 2
Thu Dec 16 01:00:53 2010  found 3416757 duplicates and 21076436 unique relations
Thu Dec 16 01:00:53 2010  memory use: 106.6 MB
Thu Dec 16 01:00:53 2010  reading ideals above 720000
Thu Dec 16 01:00:54 2010  commencing singleton removal, initial pass
Thu Dec 16 01:05:35 2010  memory use: 689.0 MB
Thu Dec 16 01:05:35 2010  reading all ideals from disk
Thu Dec 16 01:05:37 2010  memory use: 684.4 MB
Thu Dec 16 01:05:40 2010  keeping 23002323 ideals with weight <= 200, target excess is 117498
Thu Dec 16 01:05:42 2010  commencing in-memory singleton removal
Thu Dec 16 01:05:46 2010  begin with 21076436 relations and 23002323 unique ideals
Thu Dec 16 01:06:12 2010  reduce to 9280407 relations and 9020621 ideals in 17 passes
Thu Dec 16 01:06:12 2010  max relations containing the same ideal: 115
Thu Dec 16 01:06:19 2010  removing 737889 relations and 676145 ideals in 61744 cliques
Thu Dec 16 01:06:20 2010  commencing in-memory singleton removal
Thu Dec 16 01:06:21 2010  begin with 8542518 relations and 9020621 unique ideals
Thu Dec 16 01:06:30 2010  reduce to 8495316 relations and 8296827 ideals in 8 passes
Thu Dec 16 01:06:30 2010  max relations containing the same ideal: 108
Thu Dec 16 01:06:36 2010  removing 530801 relations and 469057 ideals in 61744 cliques
Thu Dec 16 01:06:36 2010  commencing in-memory singleton removal
Thu Dec 16 01:06:37 2010  begin with 7964515 relations and 8296827 unique ideals
Thu Dec 16 01:06:45 2010  reduce to 7938309 relations and 7801347 ideals in 8 passes
Thu Dec 16 01:06:45 2010  max relations containing the same ideal: 105
Thu Dec 16 01:06:55 2010  relations with 0 large ideals: 2902
Thu Dec 16 01:06:55 2010  relations with 1 large ideals: 756
Thu Dec 16 01:06:55 2010  relations with 2 large ideals: 14091
Thu Dec 16 01:06:55 2010  relations with 3 large ideals: 118350
Thu Dec 16 01:06:55 2010  relations with 4 large ideals: 525574
Thu Dec 16 01:06:55 2010  relations with 5 large ideals: 1374841
Thu Dec 16 01:06:55 2010  relations with 6 large ideals: 2260477
Thu Dec 16 01:06:55 2010  relations with 7+ large ideals: 3641318
Thu Dec 16 01:06:55 2010  commencing 2-way merge
Thu Dec 16 01:07:04 2010  reduce to 4755286 relation sets and 4618324 unique ideals
Thu Dec 16 01:07:04 2010  ignored 1 oversize relation sets
Thu Dec 16 01:07:04 2010  commencing full merge
Thu Dec 16 01:09:21 2010  memory use: 491.3 MB
Thu Dec 16 01:09:22 2010  found 2447039 cycles, need 2432524
Thu Dec 16 01:09:24 2010  weight of 2432524 cycles is about 170611522 (70.14/cycle)
Thu Dec 16 01:09:24 2010  distribution of cycle lengths:
Thu Dec 16 01:09:24 2010  1 relations: 370329
Thu Dec 16 01:09:24 2010  2 relations: 317244
Thu Dec 16 01:09:24 2010  3 relations: 288879
Thu Dec 16 01:09:24 2010  4 relations: 247069
Thu Dec 16 01:09:24 2010  5 relations: 213727
Thu Dec 16 01:09:24 2010  6 relations: 176361
Thu Dec 16 01:09:24 2010  7 relations: 150608
Thu Dec 16 01:09:24 2010  8 relations: 124726
Thu Dec 16 01:09:24 2010  9 relations: 103657
Thu Dec 16 01:09:24 2010  10+ relations: 439924
Thu Dec 16 01:09:24 2010  heaviest cycle: 26 relations
Thu Dec 16 01:09:25 2010  commencing cycle optimization
Thu Dec 16 01:09:32 2010  start with 13886716 relations
Thu Dec 16 01:10:09 2010  pruned 309161 relations
Thu Dec 16 01:10:09 2010  memory use: 367.4 MB
Thu Dec 16 01:10:09 2010  distribution of cycle lengths:
Thu Dec 16 01:10:09 2010  1 relations: 370329
Thu Dec 16 01:10:09 2010  2 relations: 323740
Thu Dec 16 01:10:09 2010  3 relations: 298384
Thu Dec 16 01:10:09 2010  4 relations: 251875
Thu Dec 16 01:10:09 2010  5 relations: 217463
Thu Dec 16 01:10:09 2010  6 relations: 177570
Thu Dec 16 01:10:09 2010  7 relations: 150573
Thu Dec 16 01:10:09 2010  8 relations: 123598
Thu Dec 16 01:10:09 2010  9 relations: 102075
Thu Dec 16 01:10:09 2010  10+ relations: 416917
Thu Dec 16 01:10:09 2010  heaviest cycle: 26 relations
Thu Dec 16 01:10:15 2010  RelProcTime: 910
Thu Dec 16 01:10:15 2010
Thu Dec 16 01:10:15 2010  commencing linear algebra
Thu Dec 16 01:10:17 2010  read 2432524 cycles
Thu Dec 16 01:10:25 2010  cycles contain 7785275 unique relations
Thu Dec 16 01:11:45 2010  read 7785275 relations
Thu Dec 16 01:12:03 2010  using 20 quadratic characters above 268435314
Thu Dec 16 01:12:58 2010  building initial matrix
Thu Dec 16 01:15:25 2010  memory use: 848.4 MB
Thu Dec 16 01:15:28 2010  read 2432524 cycles
Thu Dec 16 01:15:29 2010  matrix is 2432346 x 2432524 (693.3 MB) with weight 213449901 (87.75/col)
Thu Dec 16 01:15:29 2010  sparse part has weight 164716093 (67.71/col)
Thu Dec 16 01:16:25 2010  filtering completed in 2 passes
Thu Dec 16 01:16:26 2010  matrix is 2429893 x 2430071 (693.1 MB) with weight 213371922 (87.80/col)
Thu Dec 16 01:16:26 2010  sparse part has weight 164690323 (67.77/col)
Thu Dec 16 01:16:37 2010  matrix starts at (0, 0)
Thu Dec 16 01:16:38 2010  matrix is 2429893 x 2430071 (693.1 MB) with weight 213371922 (87.80/col)
Thu Dec 16 01:16:38 2010  sparse part has weight 164690323 (67.77/col)
Thu Dec 16 01:16:38 2010  saving the first 48 matrix rows for later
Thu Dec 16 01:16:39 2010  matrix includes 64 packed rows
Thu Dec 16 01:16:40 2010  matrix is 2429845 x 2430071 (655.4 MB) with weight 170032358 (69.97/col)
Thu Dec 16 01:16:40 2010  sparse part has weight 157237663 (64.70/col)
Thu Dec 16 01:16:40 2010  using block size 10922 for processor cache size 256 kB
Thu Dec 16 01:16:58 2010  commencing Lanczos iteration (4 threads)
Thu Dec 16 01:16:58 2010  memory use: 613.0 MB
Thu Dec 16 01:17:27 2010  linear algebra at 0.1%, ETA 12h27m
Thu Dec 16 01:17:37 2010  checkpointing every 200000 dimensions
Thu Dec 16 14:44:14 2010  lanczos halted after 38425 iterations (dim = 2429843)
Thu Dec 16 14:44:19 2010  recovered 37 nontrivial dependencies
Thu Dec 16 14:44:19 2010  BLanczosTime: 48844
Thu Dec 16 14:44:19 2010
Thu Dec 16 14:44:19 2010  commencing square root phase
Thu Dec 16 14:44:19 2010  reading relations for dependency 1
Thu Dec 16 14:44:20 2010  read 1215625 cycles
Thu Dec 16 14:44:24 2010  cycles contain 3895468 unique relations
Thu Dec 16 14:45:11 2010  read 3895468 relations
Thu Dec 16 14:45:44 2010  multiplying 3895468 relations
Thu Dec 16 14:59:07 2010  multiply complete, coefficients have about 121.94 million bits
Thu Dec 16 14:59:08 2010  initial square root is modulo 565399451
Thu Dec 16 15:26:34 2010  reading relations for dependency 2
Thu Dec 16 15:26:35 2010  read 1213895 cycles
Thu Dec 16 15:26:38 2010  cycles contain 3889834 unique relations
Thu Dec 16 15:27:29 2010  read 3889834 relations
Thu Dec 16 15:28:01 2010  multiplying 3889834 relations
Thu Dec 16 15:41:39 2010  multiply complete, coefficients have about 121.76 million bits
Thu Dec 16 15:41:40 2010  initial square root is modulo 549448741
Thu Dec 16 16:09:24 2010  sqrtTime: 5105
Thu Dec 16 16:09:24 2010  prp53 factor: 95581846303913650684936313179348791612051241183194251
Thu Dec 16 16:09:24 2010  prp92 factor: 24649019531831500007969147622486775132580007261905157612095323460036978593433099142373379147
Thu Dec 16 16:09:24 2010  elapsed time 15:14:20

30007270839200086709912938162371459650880342838952925289095320179225014181778185321387602202088681120845181599333774587489369415627877656236136710817170900904569006153220567318403<179>

34739974096182333336498956398761394712665299128822051<53>
863767795454334095995331720940616645856427889828345455035329342862116841141043748872939590809968883391913076573287926075614753<126>

Number: 20003_196
N = 30007270839200086709912938162371459650880342838952925289095320179225014181778185321387602202088681120845181599333774587489369415627877656236136710817170900904569006153220567318403 (179 digits)
SNFS difficulty: 197 digits.
Divisors found:
r1=34739974096182333336498956398761394712665299128822051 (pp53)
r2=863767795454334095995331720940616645856427889828345455035329342862116841141043748872939590809968883391913076573287926075614753 (pp126)
Version: Msieve v. 1.44
Total time: 241.59 hours.
Factorization parameters were as follows:
n: 30007270839200086709912938162371459650880342838952925289095320179225014181778185321387602202088681120845181599333774587489369415627877656236136710817170900904569006153220567318403
m: 1000000000000000000000000000000000000000
deg: 5
c5: 20
c0: 3
skew: 0.68
type: snfs
lss: 1
rlim: 13100000
alim: 13100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13100000/13100000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [6550000, 15250000)
Total raw relations: 26203383
Relations: 2947626 relations
Pruned matrix : 1993696 x 1993925
Polynomial selection time: 0.00 hours.
Total sieving time: 228.77 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 11.13 hours.
time per square root: 1.41 hours.
Prototype def-par.txt line would be: snfs,197,5,0,0,0,0,0,0,0,0,13100000,13100000,28,28,55,55,2.5,2.5,100000
total time: 241.59 hours.
 --------- CPU info (if available) ----------

1322249528130632866154580775888170799409853565975777054322882862072465950040683527378460863675853050091803436737342380116080276290972007278824080281313825057944795465189759097<175>

1202575461497852123709722181169806824814923<43>

1099514808396075432429189031108785535836859610043313218050742770598852116984887177708133348037343836776288944860474563811122148097739<133>

Using B1=6000000, B2=14270867530, polynomial Dickson(12), sigma=850451545
Step 1 took 18834ms
Step 2 took 9078ms
********** Factor found in step 2: 1202575461497852123709722181169806824814923
Found probable prime factor of 43 digits: 1202575461497852123709722181169806824814923
Composite cofactor has 133 digits

GMP-ECM 6.2.3

1099514808396075432429189031108785535836859610043313218050742770598852116984887177708133348037343836776288944860474563811122148097739<133>

22388361185594023898713964704438991440520568602692290206129907529<65>
49111000098728410999628085323532736039706325695068709498811336069491<68>

Sieving took ~10 cpu-days.

Wed Dec  8 10:06:29 2010  Msieve v. 1.47
Wed Dec  8 10:06:29 2010  random seeds: 56707125 fa9bdb1c
Wed Dec  8 10:06:29 2010  factoring 1099514808396075432429189031108785535836859610043313218050742770598852116984887177708133348037343836776288944860474563811122148097739 (133 digits)
Wed Dec  8 10:06:30 2010  searching for 15-digit factors
Wed Dec  8 10:06:31 2010  commencing number field sieve (133-digit input)
Wed Dec  8 10:06:31 2010  R0: -18609326657206216515781284
Wed Dec  8 10:06:31 2010  R1:  191196145602737
Wed Dec  8 10:06:31 2010  A0: -2291874110505679411998122673125
Wed Dec  8 10:06:31 2010  A1:  217067190338086955525661060
Wed Dec  8 10:06:31 2010  A2:  158620403564272939309
Wed Dec  8 10:06:31 2010  A3: -81023014522099230
Wed Dec  8 10:06:31 2010  A4:  53422564786
Wed Dec  8 10:06:31 2010  A5:  492660
Wed Dec  8 10:06:31 2010  skew 128881.24, size 1.055e-12, alpha -6.698, combined = 6.211e-11 rroots = 5
Wed Dec  8 10:06:31 2010
Wed Dec  8 10:06:31 2010  commencing square root phase
Wed Dec  8 10:06:31 2010  reading relations for dependency 1
Wed Dec  8 10:06:32 2010  read 782423 cycles
Wed Dec  8 10:06:34 2010  cycles contain 2690230 unique relations
Wed Dec  8 10:09:07 2010  read 2690230 relations
Wed Dec  8 10:09:28 2010  multiplying 2690230 relations
Wed Dec  8 10:25:22 2010  multiply complete, coefficients have about 135.78 million bits
Wed Dec  8 10:25:27 2010  initial square root is modulo 74699
Wed Dec  8 10:57:10 2010  sqrtTime: 3039
Wed Dec  8 10:57:10 2010  prp65 factor: 22388361185594023898713964704438991440520568602692290206129907529
Wed Dec  8 10:57:10 2010  prp68 factor: 49111000098728410999628085323532736039706325695068709498811336069491
Wed Dec  8 10:57:10 2010  elapsed time 00:50:41

35926592169825272295675441399620251465780531966248022891653644917427209264771561329155495410300096888239969362403968151151587601884003665919923<143>

21762838802020382865799787471876924157001<41>
1650822877321040398455081458354580460326700853503002329227022520485062724197783051668669873368413008923<103>

N=35926592169825272295675441399620251465780531966248022891653644917427209264771561329155495410300096888239969362403968151151587601884003665919923
  ( 143 digits)
SNFS difficulty: 199 digits.
Divisors found:
Version: Msieve v. 1.47
Total time: 3.18 hours.
Scaled time: 4.35 units (timescale=1.368).
Factorization parameters were as follows:
n: 35926592169825272295675441399620251465780531966248022891653644917427209264771561329155495410300096888239969362403968151151587601884003665919923
m: 2000000000000000000000000000000000000000
deg: 5
c5: 625
c0: 3
skew: 0.34
type: snfs
lss: 1
rlim: 14700000
alim: 14700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 640000
Factor base limits: 14700000/14700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [7350000, 16950001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 2041088 x 2041312
Total sieving time: 0.00 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 2.95 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,199.000,5,0,0,0,0,0,0,0,0,14700000,14700000,28,28,55,55,2.5,2.5,100000
total time: 3.18 hours.


Msieve v. 1.47
Fri Dec 17 21:10:01 2010
random seeds: 144c599f 5a1023c0
factoring 35926592169825272295675441399620251465780531966248022891653644917427209264771561329155495410300096888239969362403968151151587601884003665919923 (143 digits)
no P-1/P+1/ECM available, skipping
commencing number field sieve (143-digit input)
R0: -2000000000000000000000000000000000000000
R1:  1
A0:  3
A1:  0
A2:  0
A3:  0
A4:  0
A5:  625
skew 0.34, size 8.441e-14, alpha 0.450, combined = 1.794e-11 rroots = 1

commencing square root phase
reading relations for dependency 7
read 1020059 cycles
cycles contain 2949084 unique relations
read 2949084 relations
multiplying 2949084 relations
multiply complete, coefficients have about 94.94 million bits
initial square root is modulo 6524251
sqrtTime: 1992
prp41 factor: 21762838802020382865799787471876924157001
prp103 factor: 1650822877321040398455081458354580460326700853503002329227022520485062724197783051668669873368413008923
elapsed time 00:33:13

13357054371494819032060930454800021527684554278532307447210946315387890611346295668976595361114979189277165650357609403023066235492027027400297029692228361995061189<164>

288930187492555799536718659699424506652533163856455735889878594247989358356453147<81>
46229348644433214755924438644202543849471369171438338376543760504475737398042864287<83>

N=13357054371494819032060930454800021527684554278532307447210946315387890611346295668976595361114979189277165650357609403023066235492027027400297029692228361995061189
  ( 164 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=288930187492555799536718659699424506652533163856455735889878594247989358356453147 (pp81)
 r2=46229348644433214755924438644202543849471369171438338376543760504475737398042864287 (pp83)
Version: Msieve v. 1.48
Total time:
Scaled time: 38.90 units (timescale=0.647).
Factorization parameters were as follows:
n: 13357054371494819032060930454800021527684554278532307447210946315387890611346295668976595361114979189277165650357609403023066235492027027400297029692228361995061189
m: 10000000000000000000000000000000000000000
deg: 5
c5: 2
c0: 3
skew: 1.08
type: snfs
lss: 1
rlim: 15300000
alim: 15300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 320000
Factor base limits: 15300000/15300000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7650000, 14050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2966283 x 2966512
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,200.000,5,0,0,0,0,0,0,0,0,15300000,15300000,29,29,56,56,2.6,2.6,100000
total time:

127828606441688584867268676834521978946369222629609868326047197832367502648525989564511885966294539144237714844944439412493766631578846639440592193<147>

21221488856119687321569379867322835402330472661<47>
6023545629072409264543170789653616047337589173825701217547228295524880946098290954520722849826791613<100>

GMP-ECM 6.4.4 [configured with MPIR 2.6.0] [ECM]
Input number is (2*10^202+3)/(75459871*1660757687861*132029726597383*9456009228465959506927) (147 digits)
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=4008543260
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 146843ms
Using 19 small primes for NTT
Estimated memory usage: 212M
Initializing tables of differences for F took 47ms
Computing roots of F took 2890ms
Building F from its roots took 4750ms
Computing 1/F took 2344ms
Initializing table of differences for G took 63ms
Computing roots of G took 2296ms
Building G from its roots took 4641ms
Computing roots of G took 2297ms
Building G from its roots took 4671ms
Computing G * H took 1266ms
Reducing  G * H mod F took 1297ms
Computing roots of G took 2296ms
Building G from its roots took 4610ms
Computing G * H took 1266ms
Reducing  G * H mod F took 1313ms
Computing roots of G took 2281ms
Building G from its roots took 4625ms
Computing G * H took 1235ms
Reducing  G * H mod F took 1312ms
Computing roots of G took 2313ms
Building G from its roots took 4640ms
Computing G * H took 1281ms
Reducing  G * H mod F took 1297ms
Computing polyeval(F,G) took 8953ms
Computing product of all F(g_i) took 31ms
Step 2 took 64360ms
********** Factor found in step 2: 21221488856119687321569379867322835402330472661
Found probable prime factor of 47 digits: 21221488856119687321569379867322835402330472661
Probable prime cofactor ((2*10^202+3)/(75459871*1660757687861*132029726597383*9456009228465959506927))/21221488856119687321569379867322835402330472661 has 100 digits

65283357987500992555934212342434384319526789558172747025397169416288384071301835983037348059745191853020397604694709849683857227488296496549563501905877946460439820360945869565696301503323526303<194>

31826521971951588907640018797426848260569<41>
192464253228251425503197451645662761118021446373745679466517231707389<69>
10657693467274606629576372196352389258616846699807994281991491308996833263256102006083<86>

Number: n
N=65283357987500992555934212342434384319526789558172747025397169416288384071301835983037348059745191853020397604694709849683857227488296496549563501905877946460439820360945869565696301503323526303
  ( 194 digits)
SNFS difficulty: 203 digits.
Divisors found:

Sun Feb  6 14:27:01 2011  prp41 factor: 31826521971951588907640018797426848260569
Sun Feb  6 14:27:01 2011  prp69 factor: 192464253228251425503197451645662761118021446373745679466517231707389
Sun Feb  6 14:27:01 2011  prp86 factor: 10657693467274606629576372196352389258616846699807994281991491308996833263256102006083
Sun Feb  6 14:27:01 2011  elapsed time 05:54:16 (Msieve 1.44 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.093).
Factorization parameters were as follows:
name: KA_2_0_202_3
n: 65283357987500992555934212342434384319526789558172747025397169416288384071301835983037348059745191853020397604694709849683857227488296496549563501905877946460439820360945869565696301503323526303
m: 10000000000000000000000000000000000000000
#  Diff: 203.3
deg: 5
c5: 2000
c0: 3
skew: 0.27
type: snfs
lss: 1
rlim: 14000000
alim: 14000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 14000000/14000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 7300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5227585 hash collisions in 33149488 relations
Msieve: matrix is 1971560 x 1971782 (559.0 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,203,5,0,0,0,0,0,0,0,0,14000000,14000000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5659.83 BogoMIPS (lpj=2829919)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830456)
Total of 4 processors activated (22642.56 BogoMIPS).

2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003<205>

922693552059567526219164014955711651517626553<45>
2167566897520579402510174783317663121012032633795105207287245005273633870851781235593020963961663381430769839565223803747783161943595916201473004874971493738651<160>

SNFS difficulty: 205 digits.
Divisors found:
 r1=922693552059567526219164014955711651517626553 (pp45)
 r2=2167566897520579402510174783317663121012032633795105207287245005273633870851781235593020963961663381430769839565223803747783161943595916201473004874971493738651 (pp160)
Version: Msieve v. 1.46
Total time: 315.52 hours.
Scaled time: 946.55 units (timescale=3.000).
Factorization parameters were as follows:
n: 2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003
m: 100000000000000000000000000000000000000000
c5: 1
c0: 15
skew: 1.72
type: snfs
lss: 1
rlim: 17800000
alim: 17800000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17800000/17800000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8900000, 20000001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 2641686 x 2641913
Total sieving time: 303.54 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 11.39 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
snfs,205.000,5,0,0,0,0,0,0,0,0,17800000,17800000,29,29,56,56,2.6,2.6,100000
total time: 315.52 hours.

Msieve v. 1.48

210362341665655963265938883786491857804607484328189612957588185655410854429669773932321449098661000571018058334339829487227803094242823417716785834654294892725250552329993806617117850589957505860353<198>

6270185253559475381466662879191156254002301361611799339<55>

33549621447984636764011339891126200355574146634975356004946236571026830298469941433227123956807431698565716673365124849410489574449474627613827<143>

GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 210362341665655963265938883786491857804607484328189612957588185655410854429669773932321449098661000571018058334339829487227803094242823417716785834654294892725250552329993806617117850589957505860353 (198 digits)
[Wed Sep 21 15:01:58 2011]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=3201252992
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35     40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 444665ms
Using 24 small primes for NTT
Estimated memory usage: 721M
Initializing tables of differences for F took 281ms
Computing roots of F took 14398ms
Building F from its roots took 11045ms
Computing 1/F took 4212ms
Initializing table of differences for G took 250ms
Computing roots of G took 12121ms
Building G from its roots took 10639ms
Computing roots of G took 12168ms
Building G from its roots took 10640ms
Computing G * H took 2418ms
Reducing  G * H mod F took 2403ms
Computing roots of G took 12137ms
Building G from its roots took 10530ms
Computing G * H took 2480ms
Reducing  G * H mod F took 2325ms
Computing roots of G took 12152ms
Building G from its roots took 10562ms
Computing G * H took 2372ms
Reducing  G * H mod F took 2371ms
Computing polyeval(F,G) took 21997ms
Computing product of all F(g_i) took 78ms
Step 2 took 158388ms
********** Factor found in step 2: 6270185253559475381466662879191156254002301361611799339
Found probable prime factor of 55 digits: 6270185253559475381466662879191156254002301361611799339
Composite cofactor 33549621447984636764011339891126200355574146634975356004946236571026830298469941433227123956807431698565716673365124849410489574449474627613827 has 143 digits

GMP-ECM

33549621447984636764011339891126200355574146634975356004946236571026830298469941433227123956807431698565716673365124849410489574449474627613827<143>

32826506479503039369336698750063291721433424023906813323290420063<65>
1022028386387479653468938309940678095760637477538021596694668654286270417864029<79>

Number: 20003_205
N = 33549621447984636764011339891126200355574146634975356004946236571026830298469941433227123956807431698565716673365124849410489574449474627613827 (143 digits)
Divisors found:
r1=32826506479503039369336698750063291721433424023906813323290420063 (pp65)
r2=1022028386387479653468938309940678095760637477538021596694668654286270417864029 (pp79)
Version: Msieve v. 1.51 (SVN 845)
Total time: 457.70 hours.
Factorization parameters were as follows:
# Murphy_E = 1.592e-11, selected by Maksym Voznyy
# selected by CADO-NFS, optimized by Msieve
n: 33549621447984636764011339891126200355574146634975356004946236571026830298469941433227123956807431698565716673365124849410489574449474627613827
Y0: -1333375274505161784655961969
Y1: 7963718000629682839579
c0: -122723274303955156611079340223336
c1: 1018842865698674846514270834
c2: 19853405169173995100393
c3: 39190364736426050
c4: 269533819652
c5: 358800
skew: 179049.33
type: gnfs
# selected mechanically
rlim: 21000000
alim: 21000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23204283
Relations: 4259256 relations
Pruned matrix : 2639514 x 2639739
Polynomial selection time: 0.00 hours.
Total sieving time: 449.77 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 7.25 hours.
time per square root: 0.46 hours.
Prototype def-par.txt line would be: gnfs,142,5,65,2000,1e-05,0.28,250,20,50000,3600,21000000,21000000,28,28,56,56,2.6,2.6,100000
total time: 457.70 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz

GGNFS, Msieve

784813266172924462965974369050174804378355199863093258517185283014668006649924757919011993654492798313823127528810021850514058694555912478093400619866237968738954660291161647406259<180>

15567993685232505940760706614772601680121<41>

50411972283710711174055023563598705337965519012705875424395391604859542734583838028021699812325050623129191719812254144584787703079616352779<140>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=499226455
Step 1 took 67597ms
Step 2 took 24164ms
********** Factor found in step 2: 15567993685232505940760706614772601680121
Found probable prime factor of 41 digits: 15567993685232505940760706614772601680121
Composite cofactor 50411972283710711174055023563598705337965519012705875424395391604859542734583838028021699812325050623129191719812254144584787703079616352779 has 140 digits

50411972283710711174055023563598705337965519012705875424395391604859542734583838028021699812325050623129191719812254144584787703079616352779<140>

3468236007546610073461399204071324738016996963744390772578305185411<67>
14535335015846155083545128700750297335821188978469386272905228682577379289<74>

Number: 20003_206
N = 50411972283710711174055023563598705337965519012705875424395391604859542734583838028021699812325050623129191719812254144584787703079616352779 (140 digits)
Divisors found:
r1=3468236007546610073461399204071324738016996963744390772578305185411 (pp67)
r2=14535335015846155083545128700750297335821188978469386272905228682577379289 (pp74)
Version: Msieve v. 1.52 (SVN 883 pre-release)
Total time: 229.50 hours.
Factorization parameters were as follows:
# Murphy_E = 2.183e-11, selected by Erik Branger
# expecting poly E from 1.86e-011 to > 2.14e-011
n: 50411972283710711174055023563598705337965519012705875424395391604859542734583838028021699812325050623129191719812254144584787703079616352779
Y0: -1178884233413005783067825119
Y1: 51657313677871
c0: 36404840625380826021896089251962880
c1: 355367710495572038295575732284
c2: -1294370559253135435453524
c3: -322484476997741961
c4: 320172217786
c5: 22140
skew: 1877665.64
type: gnfs
# selected mechanically
rlim: 17900000
alim: 17900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 17900000/17900000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 22762109
Relations: 3244556 relations
Pruned matrix : 2033546 x 2033773
Polynomial selection time: 0.00 hours.
Total sieving time: 226.83 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.41 hours.
time per square root: 0.10 hours.
Prototype def-par.txt line would be: gnfs,139,5,65,2000,1e-05,0.28,250,20,50000,3600,17900000,17900000,28,28,55,55,2.6,2.6,100000
total time: 229.50 hours.
Intel64 Family 6 Model 158 Stepping 9, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 8, speed: 2.90GHz

GGNFS, Msieve

259423168340845965556954706355881663356052867058025775886700757275622781683155288470380575499369852022611680618981421630547162613171223292421618422142894045265113538739370317232947304022869<189>

16288571318055836231414241813607997<35>
15926698743264002616454695209727957772508841403462184047924135159810624034384960317665828135137766364236937909347103242031365776291895400248541818446064377<155>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3075943084
Step 1 took 41550ms
Step 2 took 17413ms
********** Factor found in step 2: 16288571318055836231414241813607997
Found probable prime factor of 35 digits: 16288571318055836231414241813607997
Probable prime cofactor 15926698743264002616454695209727957772508841403462184047924135159810624034384960317665828135137766364236937909347103242031365776291895400248541818446064377 has 155 digits

819613035032273267280363674433916738126336653111728710478674379842768140082424302906717057896723044883079393378001232886515686596416841141449993730574991779383710255678163336362390887119356185109161371<201>

153350552352975115152579315053263268996526354120806275628923786671847955100412966042975786177907<96>
5344702203261233723032084844843090767970135101999101103065997705086649586996315570775927673608210709488953<106>

Number: n
N=819613035032273267280363674433916738126336653111728710478674379842768140082424302906717057896723044883079393378001232886515686596416841141449993730574991779383710255678163336362390887119356185109161371  ( 201 digits)
SNFS difficulty: 210 digits.
Divisors found:

Tue Sep 29 04:33:15 2020  p96 factor: 153350552352975115152579315053263268996526354120806275628923786671847955100412966042975786177907
Tue Sep 29 04:33:15 2020  p106 factor: 5344702203261233723032084844843090767970135101999101103065997705086649586996315570775927673608210709488953
Tue Sep 29 04:33:15 2020  elapsed time 02:57:39 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.120).
Factorization parameters were as follows:
#
# N = 2x10^209+3 = 20(208)3
#
n: 819613035032273267280363674433916738126336653111728710478674379842768140082424302906717057896723044883079393378001232886515686596416841141449993730574991779383710255678163336362390887119356185109161371
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 1
c0: 15
skew: 1.72
# Murphy_E = 7.738e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 29400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7737230 hash collisions in 56060700 relations (50447525 unique)
Msieve: matrix is 2614266 x 2614492 (912.5 MB)

Sieving start time: 2020/09/28 15:55:00
Sieving end time  : 2020/09/29 01:34:37

Total sieving time: 9hrs 39min 37secs.

Total relation processing time: 2hrs 29min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 12min 9sec.

Prototype def-par.txt line would be:
snfs,210,5,0,0,0,0,0,0,0,0,22000000,22000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.153144] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283120K/16703460K available (12300K kernel code, 2482K rwdata, 4272K rodata, 2436K init, 2724K bss, 420340K reserved, 0K cma-reserved)
[    0.188717] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.74 BogoMIPS (lpj=11977488)
[    0.186225] smpboot: Total of 16 processors activated (95819.90 BogoMIPS)

1080474018201113067722070195313477789977076039608004659370423469832431113937045791788847480244235386778131385264816989491189182956387141066325544456050153842968068524976994044543381355415414768717<196>

123255603492262992869380731788381<33>

8766124927285246214322219105633140469387335247550890677839252439018586167332818874243650891446920166237358751453015511608446565822710993808068959477889552003451057<163>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3336103212
Step 1 took 48483ms
Step 2 took 19188ms
********** Factor found in step 2: 123255603492262992869380731788381
Found probable prime factor of 33 digits: 123255603492262992869380731788381
Composite cofactor 8766124927285246214322219105633140469387335247550890677839252439018586167332818874243650891446920166237358751453015511608446565822710993808068959477889552003451057 has 163 digits

8766124927285246214322219105633140469387335247550890677839252439018586167332818874243650891446920166237358751453015511608446565822710993808068959477889552003451057<163>

1199084977466359011487493412958811038500740928248339<52>
7310678635811017547610102448985540055887380058785678703557158308100229367942711514215410071967220954849636936363<112>

06/01/21 22:05:46 v1.34.5 @ LT-BART, Starting factorization of 8766124927285246214322219105633140469387335247550890677839252439018586167332818874243650891446920166237358751453015511608446565822710993808068959477889552003451057
06/01/21 22:05:46 v1.34.5 @ LT-BART, using pretesting plan: normal
06/01/21 22:05:46 v1.34.5 @ LT-BART, no tune info: using qs/gnfs crossover of 95 digits
06/01/21 22:05:46 v1.34.5 @ LT-BART, input indicated to have been pretested to t45.00
06/01/21 22:05:46 v1.34.5 @ LT-BART, ****************************
06/01/21 22:05:46 v1.34.5 @ LT-BART, rho: x^2 + 3, starting 1000 iterations on C163
06/01/21 22:05:46 v1.34.5 @ LT-BART, rho: x^2 + 2, starting 1000 iterations on C163
06/01/21 22:05:46 v1.34.5 @ LT-BART, rho: x^2 + 1, starting 1000 iterations on C163
06/01/21 22:05:46 v1.34.5 @ LT-BART, current ECM pretesting depth: 45.67
06/01/21 22:05:46 v1.34.5 @ LT-BART, scheduled 6420 curves at B1=43000000 toward target pretesting depth of 50.15
06/01/21 22:32:55 v1.34.5 @ LT-BART, 
06/01/21 22:32:55 v1.34.5 @ LT-BART, ****************************
06/01/21 22:32:55 v1.34.5 @ LT-BART, Starting factorization of 8766124927285246214322219105633140469387335247550890677839252439018586167332818874243650891446920166237358751453015511608446565822710993808068959477889552003451057
06/01/21 22:32:55 v1.34.5 @ LT-BART, using pretesting plan: normal
06/01/21 22:32:55 v1.34.5 @ LT-BART, no tune info: using qs/gnfs crossover of 95 digits
06/01/21 22:32:55 v1.34.5 @ LT-BART, input indicated to have been pretested to t45.00
06/01/21 22:32:55 v1.34.5 @ LT-BART, ****************************
06/01/21 22:32:55 v1.34.5 @ LT-BART, rho: x^2 + 3, starting 1000 iterations on C163
06/01/21 22:32:55 v1.34.5 @ LT-BART, rho: x^2 + 2, starting 1000 iterations on C163
06/01/21 22:32:55 v1.34.5 @ LT-BART, rho: x^2 + 1, starting 1000 iterations on C163
06/01/21 22:32:55 v1.34.5 @ LT-BART, current ECM pretesting depth: 45.67
06/01/21 22:32:55 v1.34.5 @ LT-BART, scheduled 6420 curves at B1=43000000 toward target pretesting depth of 50.15
06/01/21 22:33:53 v1.34.5 @ LT-BART, Finished 6424 curves using Lenstra ECM method on C163 input, B1=43M, B2=gmp-ecm default
06/01/21 22:33:53 v1.34.5 @ LT-BART, final ECM pretested depth: 50.74
06/01/21 22:33:53 v1.34.5 @ LT-BART, scheduler: switching to sieve method
06/01/21 22:33:53 v1.34.5 @ LT-BART, nfs: commencing nfs on c163: 8766124927285246214322219105633140469387335247550890677839252439018586167332818874243650891446920166237358751453015511608446565822710993808068959477889552003451057
06/01/21 22:33:53 v1.34.5 @ LT-BART, nfs: commencing poly selection with 8 threads
06/01/21 22:33:53 v1.34.5 @ LT-BART, nfs: setting deadline of 135000 seconds
06/01/21 22:40:21 v1.34.5 @ LT-BART, 
06/01/21 22:40:21 v1.34.5 @ LT-BART, ****************************
06/01/21 22:40:21 v1.34.5 @ LT-BART, Starting factorization of 8766124927285246214322219105633140469387335247550890677839252439018586167332818874243650891446920166237358751453015511608446565822710993808068959477889552003451057
06/01/21 22:40:21 v1.34.5 @ LT-BART, using pretesting plan: normal
06/01/21 22:40:21 v1.34.5 @ LT-BART, no tune info: using qs/gnfs crossover of 95 digits
06/01/21 22:40:21 v1.34.5 @ LT-BART, input indicated to have been pretested to t45.00
06/01/21 22:40:21 v1.34.5 @ LT-BART, ****************************
06/01/21 22:40:21 v1.34.5 @ LT-BART, rho: x^2 + 3, starting 1000 iterations on C163
06/01/21 22:40:21 v1.34.5 @ LT-BART, rho: x^2 + 2, starting 1000 iterations on C163
06/01/21 22:40:21 v1.34.5 @ LT-BART, rho: x^2 + 1, starting 1000 iterations on C163
06/01/21 22:40:21 v1.34.5 @ LT-BART, current ECM pretesting depth: 45.67
06/01/21 22:40:21 v1.34.5 @ LT-BART, scheduled 6420 curves at B1=43000000 toward target pretesting depth of 50.15
06/01/21 22:40:51 v1.34.5 @ LT-BART, 
06/01/21 22:40:51 v1.34.5 @ LT-BART, ****************************
06/01/21 22:40:51 v1.34.5 @ LT-BART, Starting factorization of 8766124927285246214322219105633140469387335247550890677839252439018586167332818874243650891446920166237358751453015511608446565822710993808068959477889552003451057
06/01/21 22:40:51 v1.34.5 @ LT-BART, using pretesting plan: normal
06/01/21 22:40:51 v1.34.5 @ LT-BART, no tune info: using qs/gnfs crossover of 95 digits
06/01/21 22:40:51 v1.34.5 @ LT-BART, input indicated to have been pretested to t45.00
06/01/21 22:40:51 v1.34.5 @ LT-BART, ****************************
06/01/21 22:40:51 v1.34.5 @ LT-BART, rho: x^2 + 3, starting 1000 iterations on C163
06/01/21 22:40:51 v1.34.5 @ LT-BART, rho: x^2 + 2, starting 1000 iterations on C163
06/01/21 22:40:51 v1.34.5 @ LT-BART, rho: x^2 + 1, starting 1000 iterations on C163
06/01/21 22:40:51 v1.34.5 @ LT-BART, current ECM pretesting depth: 45.67
06/01/21 22:40:51 v1.34.5 @ LT-BART, scheduled 6420 curves at B1=43000000 toward target pretesting depth of 50.15
06/01/21 22:41:54 v1.34.5 @ LT-BART, Finished 6424 curves using Lenstra ECM method on C163 input, B1=43M, B2=gmp-ecm default
06/01/21 22:41:54 v1.34.5 @ LT-BART, final ECM pretested depth: 50.74
06/01/21 22:41:54 v1.34.5 @ LT-BART, scheduler: switching to sieve method
06/01/21 22:41:54 v1.34.5 @ LT-BART, nfs: commencing nfs on c163: 8766124927285246214322219105633140469387335247550890677839252439018586167332818874243650891446920166237358751453015511608446565822710993808068959477889552003451057
06/01/21 22:41:54 v1.34.5 @ LT-BART, nfs: commencing poly selection with 8 threads
06/01/21 22:41:54 v1.34.5 @ LT-BART, nfs: setting deadline of 135000 seconds
06/04/21 10:09:12 v1.34.5 @ LT-BART, nfs: completed 8 ranges of size 250 in 214038.1174 seconds
06/04/21 10:09:12 v1.34.5 @ LT-BART, nfs: best poly = # norm 7.758094e-016 alpha -6.042921 e 8.728e-013 rroots 5
06/04/21 10:09:12 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 8 threads
(...)


07/24/21 13:54:44 v1.34.5 @ LT-BART, nfs: commencing msieve linear algebra
07/28/21 08:10:29 v1.34.5 @ LT-BART, nfs: commencing msieve sqrt
07/28/21 08:42:17 v1.34.5 @ LT-BART, prp112 = 7310678635811017547610102448985540055887380058785678703557158308100229367942711514215410071967220954849636936363
07/28/21 08:42:17 v1.34.5 @ LT-BART, prp52 = 1199084977466359011487493412958811038500740928248339
07/28/21 08:42:17 v1.34.5 @ LT-BART, NFS elapsed time = 329186.2163 seconds.
07/28/21 08:42:17 v1.34.5 @ LT-BART, 
07/28/21 08:42:17 v1.34.5 @ LT-BART, 
07/28/21 08:42:17 v1.34.5 @ LT-BART, Total factoring time = 329186.2944 seconds

YAFU-1.34.5-win64.exe factor(8766124927285246214322219105633140469387335247550890677839252439018586167332818874243650891446920166237358751453015511608446565822710993808068959477889552003451057) -work 45 -R

518868893805583602697815544902084544203139369760181967769863835788236492551992233350349143918479847164579118058479224204023746759750913843994533501875405961264202848581041<171>

7706444807147547380002268715212781942618947<43>
63141355312945909267638280376909574536930846855102300423<56>
1066325177021885885702615421168122337725829427414224259983429724041303661<73>

02/24/23 14:14:48 v1.34.5 @ LT-BART, nfs: commencing nfs on c212: 20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003
02/24/23 14:14:48 v1.34.5 @ LT-BART, nfs: input divides 2*10^211 + 3
02/24/23 14:14:48 v1.34.5 @ LT-BART, nfs: using supplied cofactor: 518868893805583602697815544902084544203139369760181967769863835788236492551992233350349143918479847164579118058479224204023746759750913843994533501875405961264202848581041
02/24/23 14:14:48 v1.34.5 @ LT-BART, nfs: commencing snfs on c171: 518868893805583602697815544902084544203139369760181967769863835788236492551992233350349143918479847164579118058479224204023746759750913843994533501875405961264202848581041
02/24/23 14:14:53 v1.34.5 @ LT-BART, test: fb generation took 4.3043 seconds
02/24/23 14:14:53 v1.34.5 @ LT-BART, test: commencing test sieving of polynomial 0 on the rational side over range 22600000-22602000
skew: 0.6843
c5: 20
c0: 3
Y1: -1
Y0: 1000000000000000000000000000000000000000000
m: 1000000000000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
02/24/23 14:20:30 v1.34.5 @ LT-BART, nfs: parsing special-q from .dat file
02/24/23 14:20:30 v1.34.5 @ LT-BART, test: new best estimated total sieving time = 6 days 18h 25m 11s (with 8 threads)
02/24/23 14:20:35 v1.34.5 @ LT-BART, test: fb generation took 5.4638 seconds
02/24/23 14:20:35 v1.34.5 @ LT-BART, test: commencing test sieving of polynomial 1 on the algebraic side over range 22600000-22602000
skew: 0.7289
c6: 20
c0: 3
Y1: -1
Y0: 100000000000000000000000000000000000
m: 100000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
02/24/23 14:26:48 v1.34.5 @ LT-BART, nfs: parsing special-q from .dat file
02/24/23 14:26:48 v1.34.5 @ LT-BART, test: new best estimated total sieving time = 6 days 4h 58m 52s (with 8 threads)
02/24/23 14:26:52 v1.34.5 @ LT-BART, test: fb generation took 3.9912 seconds
02/24/23 14:26:52 v1.34.5 @ LT-BART, test: commencing test sieving of polynomial 2 on the rational side over range 23800000-23802000
skew: 1.3685
c5: 5
c0: 24
Y1: -1
Y0: 2000000000000000000000000000000000000000000
m: 2000000000000000000000000000000000000000000
rlim: 23800000
alim: 23800000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
02/24/23 14:32:54 v1.34.5 @ LT-BART, nfs: parsing special-q from .dat file
02/24/23 14:32:54 v1.34.5 @ LT-BART, test: estimated total sieving time = 6 days 15h 54m 29s (with 8 threads)
02/24/23 14:32:54 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 8 threads
...
03/08/23 17:07:19 v1.34.5 @ LT-BART, nfs: commencing lattice sieving with 8 threads
03/08/23 18:48:45 v1.34.5 @ LT-BART, nfs: commencing msieve filtering
03/08/23 19:00:45 v1.34.5 @ LT-BART, nfs: commencing msieve linear algebra
03/09/23 13:28:16 v1.34.5 @ LT-BART, nfs: commencing msieve sqrt
03/09/23 14:02:40 v1.34.5 @ LT-BART, prp56 = 63141355312945909267638280376909574536930846855102300423
03/09/23 14:02:40 v1.34.5 @ LT-BART, prp43 = 7706444807147547380002268715212781942618947
03/09/23 14:02:40 v1.34.5 @ LT-BART, prp73 = 1066325177021885885702615421168122337725829427414224259983429724041303661
03/09/23 14:02:40 v1.34.5 @ LT-BART, NFS elapsed time = 150321.2646 seconds.

yafu 1.34.5 snfs

Intel(R) Core(TM) i7-10510U CPU @ 1.80GHz, Windows 10 Education  22H2

252971007082776135066763747116216175542981454112540496602835395514433352483935139362259371385643915343246703950245513368969132886370755877136933092960218203213898861238144955345543284069<186>

220867853781191226474423398668835131939111<42>

1145350048691960281728055442834478689333419170538272674876839439315014803857368824743312324168027119148398691848469593454956647752327213606751379<145>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3419968382
Step 1 took 83316ms
Step 2 took 28943ms
********** Factor found in step 2: 220867853781191226474423398668835131939111
Found probable prime factor of 42 digits: 220867853781191226474423398668835131939111

1145350048691960281728055442834478689333419170538272674876839439315014803857368824743312324168027119148398691848469593454956647752327213606751379<145>

390906071147567986894313410737152856657319680976453783865174011214251<69>
2929987874912251924075405443991602255950457557718600436054482092093137363129<76>

Number: 20003_215
N = 1145350048691960281728055442834478689333419170538272674876839439315014803857368824743312324168027119148398691848469593454956647752327213606751379 (145 digits)
Divisors found:
r1=390906071147567986894313410737152856657319680976453783865174011214251 (pp69)
r2=2929987874912251924075405443991602255950457557718600436054482092093137363129 (pp76)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 373.43 hours.
Factorization parameters were as follows:
# Murphy_E = 1.24064317e-11, selected by Maksym Voznyy
# selected by CADO-NFS
n: 1145350048691960281728055442834478689333419170538272674876839439315014803857368824743312324168027119148398691848469593454956647752327213606751379
Y0: -5650950250219975168880406352
Y1: 361491901032640479611
c0: 25894067540511012517668584210985
c1: 261614431552352302114769541
c2: 3747066334300174598836
c3: 918913331405612
c4: -131685060258
c5: 207180
skew: 253071.34546
type: gnfs
# selected mechanically
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [0, 0)
Total raw relations: 39717545
Relations: 6007222 relations
Pruned matrix : 3530568 x 3530803
Polynomial selection time: 0.00 hours.
Total sieving time: 367.06 hours.
Total relation processing time: 0.47 hours.
Matrix solve time: 5.22 hours.
time per square root: 0.68 hours.
Prototype def-par.txt line would be: gnfs,144,5,65,2000,1e-05,0.28,250,20,50000,3600,23000000,23000000,29,29,57,57,2.6,2.6,100000
total time: 373.43 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 12, speed: 3.19GHz

GGNFS, Msieve

49733254556440467345555717781413056927413691379894465197811480329729888806319455311552540858220508149706925891189714204429129641329688474722422829095134367772028561921686063926754363567<185>

209670129772203749853456070585956317535083191883<48>
237197614226085491576527926883432287581048074332698060491837272168132460064785542558362013318116907798193304237528052262155827116488831149<138>

Number: 20003_216
N = 49733254556440467345555717781413056927413691379894465197811480329729888806319455311552540858220508149706925891189714204429129641329688474722422829095134367772028561921686063926754363567 (185 digits)
SNFS difficulty: 217 digits.
Divisors found:
r1=209670129772203749853456070585956317535083191883 (pp48)
r2=237197614226085491576527926883432287581048074332698060491837272168132460064785542558362013318116907798193304237528052262155827116488831149 (pp138)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 197.52 hours.
Factorization parameters were as follows:
n: 49733254556440467345555717781413056927413691379894465197811480329729888806319455311552540858220508149706925891189714204429129641329688474722422829095134367772028561921686063926754363567
m: 1000000000000000000000000000000000000
deg: 6
c6: 2
c0: 3
skew: 1.07
# Murphy_E = 3.875e-12
type: snfs
lss: 1
rlim: 28000000
alim: 28000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 28000000/28000000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 50137773
Relations: 6591932 relations
Pruned matrix : 4480718 x 4480943
Total sieving time: 183.56 hours.
Total relation processing time: 0.50 hours.
Matrix solve time: 13.29 hours.
time per square root: 0.18 hours.
Prototype def-par.txt line would be: snfs,217,6,0,0,0,0,0,0,0,0,28000000,28000000,29,29,58,58,2.6,2.6,100000
total time: 197.52 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 2.29GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

886315387469013361554560673426685712816203373290661560828252689172840802436449092798368846432471327065715663846081689854590166900676825439329143628910843935375217564392109135877994148980106469433603563952168767<210>

13562222429349685645921434406744248180309030818250192516127793335092509339<74>
65351780807764893934013313483072258103311913094521532095403372595487916237332092216596318800845741675678927384992755140004444225537054253<137>

Number: n
N=886315387469013361554560673426685712816203373290661560828252689172840802436449092798368846432471327065715663846081689854590166900676825439329143628910843935375217564392109135877994148980106469433603563952168767
  ( 210 digits)
SNFS difficulty: 218 digits.
Divisors found:

Wed Feb 19 15:44:23 2020  p74 factor: 13562222429349685645921434406744248180309030818250192516127793335092509339
Wed Feb 19 15:44:23 2020  p137 factor: 65351780807764893934013313483072258103311913094521532095403372595487916237332092216596318800845741675678927384992755140004444225537054253
Wed Feb 19 15:44:23 2020  elapsed time 06:40:34 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.130).
Factorization parameters were as follows:
#
# N = 2x10^218+3 = 20(217)3
#
n: 886315387469013361554560673426685712816203373290661560828252689172840802436449092798368846432471327065715663846081689854590166900676825439329143628910843935375217564392109135877994148980106469433603563952168767
m: 1000000000000000000000000000000000000
deg: 6
c6: 200
c0: 3
skew: 0.50
# Murphy_E = 3.401e-12
type: snfs
lss: 1
rlim: 30000000
alim: 30000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 30000000/30000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 69400000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9448506 hash collisions in 59418821 relations (52370904 unique)
Msieve: matrix is 3898605 x 3898830 (1372.2 MB)

Sieving start time: 2020/02/18 00:06:49
Sieving end time  : 2020/02/19 09:02:51

Total sieving time: 32hrs 56min 2secs.

Total relation processing time: 6hrs 14min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 0sec.

Prototype def-par.txt line would be:
snfs,218,6,0,0,0,0,0,0,0,0,30000000,30000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149595] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283240K/16703460K available (12300K kernel code, 2481K rwdata, 4260K rodata, 2428K init, 2704K bss, 420220K reserved, 0K cma-reserved)
[    0.184568] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.70 BogoMIPS (lpj=11977400)
[    0.182219] smpboot: Total of 16 processors activated (95819.20 BogoMIPS)

103411385229762574181802438435958285783436018009217874447763736636810135120910644945488220657870979527127246795095840422185512351937430391289324389704528667455551112941838980283<177>

173026861063558863211999003878761987545706054882147994572219096194342531<72>
597660875277486126058063901126293948884112537650980710817727376575279442073706436015467874114989167237993<105>

Number: 20003_219
N = 103411385229762574181802438435958285783436018009217874447763736636810135120910644945488220657870979527127246795095840422185512351937430391289324389704528667455551112941838980283 (177 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=173026861063558863211999003878761987545706054882147994572219096194342531 (pp72)
r2=597660875277486126058063901126293948884112537650980710817727376575279442073706436015467874114989167237993 (pp105)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 59.85 hours.
Factorization parameters were as follows:
n: 103411385229762574181802438435958285783436018009217874447763736636810135120910644945488220657870979527127246795095840422185512351937430391289324389704528667455551112941838980283
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: 7069478 relations
Pruned matrix : 6202980 x 6203206
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 31.62 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 27.37 hours.
time per square root: 0.50 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 59.85 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

1179041994141559515017301685792869639678619654902955190181062119360156988347368978086057323783407356176740182585291288733630191933167158136772766993073746868800564218472906423296342095944566915247083093126788543<211>

40829452320415402297185998735793803012684787441996116427169597976258098726972351<80>
28877242459410090910650394787684608258833825056783943988625897134196387484631745302941695088821884585896508553733285197454429844993<131>

Number: 20003_220
N = 1179041994141559515017301685792869639678619654902955190181062119360156988347368978086057323783407356176740182585291288733630191933167158136772766993073746868800564218472906423296342095944566915247083093126788543 (211 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=40829452320415402297185998735793803012684787441996116427169597976258098726972351 (pp80)
r2=28877242459410090910650394787684608258833825056783943988625897134196387484631745302941695088821884585896508553733285197454429844993 (pp131)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 61.52 hours.
Factorization parameters were as follows:
n: 1179041994141559515017301685792869639678619654902955190181062119360156988347368978086057323783407356176740182585291288733630191933167158136772766993073746868800564218472906423296342095944566915247083093126788543
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: 6720150 relations
Pruned matrix : 6137696 x 6137921
Total pre-computation time approximately 300 CPU-days.
Pre-computation saved approximately 8 G relations.
Total batch smoothness checking time: 29.30 hours.
Total relation processing time: 0.39 hours.
Matrix solve time: 31.32 hours.
time per square root: 0.51 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: 61.52 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 8, speed: 3.50GHz

GGNFs, NFS_factory, Msieve

9174185676343903524263427567510538845795700059173497612418177731499107810442975555382265381669059600097246368169245377357192332215611711765434420627239074691632683953890542790695540887052013045692031761030811502594001<217>

116380960268883306723328214228163601<36>

78828922318119065403234394615433293660469542849350510226921356392122091379600090147636111088040177054842196160015844453814149954769318101951795548509042646285277210926199665644990401<182>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1752800746
Step 1 took 8058ms
Step 2 took 3569ms
********** Factor found in step 2: 116380960268883306723328214228163601
Found probable prime factor of 36 digits: 116380960268883306723328214228163601
Composite cofactor has 182 digits

78828922318119065403234394615433293660469542849350510226921356392122091379600090147636111088040177054842196160015844453814149954769318101951795548509042646285277210926199665644990401<182>

9912363955474447656573757267693775408088476921958640708224310657<64>
7952585545911381925975134891322753049222935458913535284315310985733744896502872384756133049564391016009045473030844993<118>

Number: 20003_222
N = 78828922318119065403234394615433293660469542849350510226921356392122091379600090147636111088040177054842196160015844453814149954769318101951795548509042646285277210926199665644990401 (182 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=9912363955474447656573757267693775408088476921958640708224310657 (pp64)
r2=7952585545911381925975134891322753049222935458913535284315310985733744896502872384756133049564391016009045473030844993 (pp118)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 52.85 hours.
Factorization parameters were as follows:
n: 78828922318119065403234394615433293660469542849350510226921356392122091379600090147636111088040177054842196160015844453814149954769318101951795548509042646285277210926199665644990401
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 200
c0: 3
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 36863979
Relations: 7933214 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 27.74 hours.
Total relation processing time: 0.41 hours.
Pruned matrix : 7263270 x 7263495
Matrix solve time: 24.35 hours.
time per square root: 0.35 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 52.85 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

1590965170820249335160856868770593043481799712898664263606769879100617073874066482752344373860625685030102270583545684527656688378100806281970490080551169201775091520523574798235190096573746162669<196>

890223907372673457938571679703545757<36>

1787151701548524387903195299690431520093373097727907094498649497906950672460141437215291719682995360031492337865605218342105884642691595091330769447087164726417<160>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=233003545
Step 1 took 306876ms
********** Factor found in step 1: 890223907372673457938571679703545757
Found probable prime factor of 36 digits: 890223907372673457938571679703545757
Composite cofactor 1787151701548524387903195299690431520093373097727907094498649497906950672460141437215291719682995360031492337865605218342105884642691595091330769447087164726417 has 160 digits

317000375895328640659077064321914980895715091059752868726899350872299949446632784374901657567845955174774039347737194439176440705188593589871127357659615217968537832393675036805879<180>

308191013287279902020257091518356688604839<42>
1028584099562426569905167202906724001529859688495291993577768539171478538716639768430415552907163004966791528175694240833223495445801581361<139>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3984137105
Step 1 took 95750ms
Step 2 took 33060ms
********** Factor found in step 2: 308191013287279902020257091518356688604839
Found probable prime factor of 42 digits: 308191013287279902020257091518356688604839

39748886119668561798919686552600096754536146737059311729358900920404556198055563499932715584214778343141988678395413811400200910668857014676781947011826577<155>

2101902840186131241722118415897003086697369<43>
18910905566000687007887699558211333779414413422462577851011490134640200866850723840023041133175444944230137768633<113>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2936496433
Step 1 took 44416ms
Step 2 took 15508ms
********** Factor found in step 2: 2101902840186131241722118415897003086697369
Found probable prime factor of 43 digits: 2101902840186131241722118415897003086697369
Probable prime cofactor 18910905566000687007887699558211333779414413422462577851011490134640200866850723840023041133175444944230137768633 has 113 digits

GMP-ECM 6.3

839616361717100225230647473593686699262121300637011282824565956691564474703077465160542440755861371314766699688901109641139505781326774618897097236461471660224748978656185630208900359727949673709<195>

139480357090048738747355796955163<33>
6019602897740235756130241844286505519803719669335035781200606880871282490177308360796844372059325837131408698158912333639168832200933397020123068003317475286785943<163>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=4237028320
Step 1 took 7065ms
Step 2 took 3271ms
********** Factor found in step 2: 139480357090048738747355796955163
Found probable prime factor of 33 digits: 139480357090048738747355796955163
Probable prime cofactor 6019602897740235756130241844286505519803719669335035781200606880871282490177308360796844372059325837131408698158912333639168832200933397020123068003317475286785943 has 163 digits

2889848589223310068582898195963836639605733550349687949335421461139771004744739092568081649765636725600484496551302032050831552845719387373767476674250142611115949962655698290636649396934095749080898736387254831<211>

708571878670155673326184388705611847017473808511487815723<57>
4078412757004926776546671607645512852983279323295602472062649395153810624543139617652083742092035958733113896873697338878289928642316421239002833826473997<154>

Tue 2023/10/10 06:39:52 UTC -> Running ecm.py, version 0.46 ( 4th Nov 2022) on computer LT-Bart
Tue 2023/10/10 06:39:52 UTC -> Command line: C:/Program Files/Python39/python.exe ecm.py -c 1300 -v -v 11e7
Tue 2023/10/10 06:39:52 UTC ->=============================================================================
Tue 2023/10/10 06:39:52 UTC -> Working on number: 2889848589223310068582898195963836639605733550349687949335421461139771004744739092568081649765636725600484496551302032050831552845719387373767476674250142611115949962655698290636649396934095749080898736387254831 (211 digits)
Tue 2023/10/10 06:39:52 UTC -> Currently working on: job8690.txt
Tue 2023/10/10 06:39:52 UTC -> Starting 6 instances of GMP-ECM...
Tue 2023/10/10 06:39:52 UTC -> ecm -v -v -c 217 11e7 < job8690.txt > job8690_t00.txt
Tue 2023/10/10 06:39:52 UTC -> ecm -v -v -c 217 11e7 < job8690.txt > job8690_t01.txt
Tue 2023/10/10 06:39:52 UTC -> ecm -v -v -c 217 11e7 < job8690.txt > job8690_t02.txt
Tue 2023/10/10 06:39:52 UTC -> ecm -v -v -c 217 11e7 < job8690.txt > job8690_t03.txt
Tue 2023/10/10 06:39:52 UTC -> ecm -v -v -c 216 11e7 < job8690.txt > job8690_t04.txt
Tue 2023/10/10 06:39:52 UTC -> ecm -v -v -c 216 11e7 < job8690.txt > job8690_t05.txt
Tue 2023/10/10 06:39:53 UTC GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Tue 2023/10/10 06:40:43 UTC Using B1=110000000, B2=776278396540, polynomial Dickson(30), 6 threads
Tue 2023/10/10 06:40:43 UTC ____________________________________________________________________________
Tue 2023/10/10 06:40:43 UTC  Curves Complete |   Average seconds/curve   |    Runtime    |      ETA
Tue 2023/10/10 06:40:43 UTC -----------------|---------------------------|---------------|--------------
Tue 2023/10/10 09:26:32 UTC     72 of   1300 | Stg1 565.0s | Stg2 203.8s |   0d 02:46:40 |   1d 19:41:45
Tue 2023/10/10 12:13:12 UTC    156 of   1300 | Stg1 557.3s | Stg2 202.0s |   0d 05:33:20 |   1d 16:12:39
Tue 2023/10/10 14:59:53 UTC    234 of   1300 | Stg1 555.9s | Stg2 201.8s |   0d 08:20:00 |   1d 13:23:37
Tue 2023/10/10 16:17:53 UTC    267 of   1300 | Stg1 561.4s | Stg2 203.1s |   0d 09:38:01 |   0d 00:00:00
Tue 2023/10/10 16:17:53 UTC GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Tue 2023/10/10 16:17:53 UTC Input number is 2889848589223310068582898195963836639605733550349687949335421461139771004744739092568081649765636725600484496551302032050831552845719387373767476674250142611115949962655698290636649396934095749080898736387254831 (211 digits)
Tue 2023/10/10 16:17:53 UTC Run 267 out of 1300:
Tue 2023/10/10 16:17:53 UTC Using 26 small primes for NTT
Tue 2023/10/10 16:17:53 UTC Step 1 took 605375ms
Tue 2023/10/10 16:17:53 UTC ********** Factor found in step 2: 708571878670155673326184388705611847017473808511487815723
Tue 2023/10/10 16:17:53 UTC Found prime factor of 57 digits: 708571878670155673326184388705611847017473808511487815723
Tue 2023/10/10 16:17:53 UTC Prime cofactor 4078412757004926776546671607645512852983279323295602472062649395153810624543139617652083742092035958733113896873697338878289928642316421239002833826473997 has 154 digits
Tue 2023/10/10 16:17:53 UTC Peak memory usage: 761MB

1115230992231219525093935652700459962561930226189495351365378090501583642879698362872613182356996939184097528594356646165121534915225609606754297555863867313590072944755718784146721203<184>

883163094483570495959751225364804016216796081483887433434970259668179052053232917279479098668832883409240506661897440442120102149867097006564449699198545176471841541651334592956723541180109013791343508927355344516799<216>

1006450003978150955610622536778022241376494965006516251<55>

877503195382513111130639251651984399263340464992859955316645026921843954041096300084694132927287276728413974642392547387035503317160590711254468143245179285845549<162>

Wed 2023/08/30 08:36:19 UTC Using B1=110000000, B2=776278396540, polynomial Dickson(30), 6 threads
Wed 2023/08/30 08:36:19 UTC ____________________________________________________________________________
Wed 2023/08/30 08:36:19 UTC  Curves Complete |   Average seconds/curve   |    Runtime    |      ETA
Wed 2023/08/30 08:36:19 UTC -----------------|---------------------------|---------------|--------------
Wed 2023/08/30 11:22:08 UTC     60 of   1300 | Stg1 681.9s | Stg2 231.0s |   0d 02:46:40 |   2d 04:32:47
Wed 2023/08/30 14:08:48 UTC    126 of   1300 | Stg1 681.9s | Stg2 229.9s |   0d 05:33:20 |   2d 01:33:00
Wed 2023/08/30 15:13:12 UTC    152 of   1300 | Stg1 678.1s | Stg2 228.8s |   0d 06:37:44 |   0d 00:00:00
Wed 2023/08/30 15:13:12 UTC GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Wed 2023/08/30 15:13:12 UTC Input number is 883163094483570495959751225364804016216796081483887433434970259668179052053232917279479098668832883409240506661897440442120102149867097006564449699198545176471841541651334592956723541180109013791343508927355344516799 (216 digits)
Wed 2023/08/30 15:13:12 UTC Run 152 out of 1300:
Wed 2023/08/30 15:13:12 UTC Using 26 small primes for NTT
Wed 2023/08/30 15:13:12 UTC Step 1 took 690828ms
Wed 2023/08/30 15:13:12 UTC ********** Factor found in step 2: 1006450003978150955610622536778022241376494965006516251
Wed 2023/08/30 15:13:12 UTC Found prime factor of 55 digits: 1006450003978150955610622536778022241376494965006516251
Wed 2023/08/30 15:13:12 UTC Composite cofactor 877503195382513111130639251651984399263340464992859955316645026921843954041096300084694132927287276728413974642392547387035503317160590711254468143245179285845549 has 162 digits
Wed 2023/08/30 15:13:12 UTC dF=131072, k=4, d=1345890, d2=11, i0=71
Wed 2023/08/30 15:13:12 UTC A=204074412547476316300298863695300391615893259001996891084973192796149780662569612204576152695199018611090501380575000435879927634669568790104722604890636504026277
Wed 2023/08/30 15:13:12 UTC starting point: x0=2

877503195382513111130639251651984399263340464992859955316645026921843954041096300084694132927287276728413974642392547387035503317160590711254468143245179285845549<162>

8009481381449913760222747014527126488113599398476113969299<58>
109558054209954774973007823503829435185846518156577529897141277789443056808508404845988686273187816498751<105>

Fri 2023/09/29 09:45:45 UTC GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Fri 2023/09/29 09:45:45 UTC Input number is 877503195382513111130639251651984399263340464992859955316645026921843954041096300084694132927287276728413974642392547387035503317160590711254468143245179285845549 (162 digits)
Fri 2023/09/29 09:45:45 UTC Run 2026 out of 12000:
Fri 2023/09/29 09:45:45 UTC Using 20 small primes for NTT
Fri 2023/09/29 09:45:45 UTC Step 1 took 446782ms
Fri 2023/09/29 09:45:45 UTC ********** Factor found in step 2: 8009481381449913760222747014527126488113599398476113969299
Fri 2023/09/29 09:45:45 UTC Found prime factor of 58 digits: 8009481381449913760222747014527126488113599398476113969299
Fri 2023/09/29 09:45:45 UTC Prime cofactor 109558054209954774973007823503829435185846518156577529897141277789443056808508404845988686273187816498751 has 105 digits
Fri 2023/09/29 09:45:45 UTC Peak memory usage: 641MB

2366999520661983340176671052110656081557022207230343647279895682252851947484580242922612720157520283580459697808221369607189<124>

148691185111062034661216400753058174723061987<45>
15918896058929104333330760038031728946908584744344451554408900071070386231777447<80>

01/18/11 23:56:39 v1.22.2 @ LAPPIE, nfs: commencing gnfs on c124: 2366999520661983340176671052110656081557022207230343647279895682252851947484580242922612720157520283580459697808221369607189
01/18/11 23:56:39 v1.22.2 @ LAPPIE, nfs: commencing msieve poly select
01/19/11 07:24:52 v1.22.2 @ LAPPIE, nfs: commencing lattice sieving with 1 threads
01/19/11 09:08:09 v1.22.2 @ LAPPIE, nfs: commencing msieve filtering
snipp sieving & filtering
01/21/11 10:09:23 v1.22.2 @ LAPPIE, nfs: commencing msieve filtering
01/21/11 10:21:37 v1.22.2 @ LAPPIE, nfs: commencing msieve linear algebra
01/21/11 12:13:49 v1.22.2 @ LAPPIE, nfs: commencing msieve sqrt
01/21/11 13:48:35 v1.22.2 @ LAPPIE, prp45 = 148691185111062034661216400753058174723061987
01/21/11 13:48:36 v1.22.2 @ LAPPIE, prp80 = 15918896058929104333330760038031728946908584744344451554408900071070386231777447
01/21/11 13:48:36 v1.22.2 @ LAPPIE, NFS elapsed time = 222716.6844 seconds.

Yafu v1.22.2 via GGNFS on WinVista32bit

1944304877899463379277766771679685638259827301718480298521455004670531520967270708092322390736363440620793689000535914623242773889880858045180125010846246413366609362329495383561808243372214703680370719642332376099<214>

142021478699030646324860885993783768119<39>

13690217111594783314619463689226499071555190513349892541083842609630416872677669415663111999492708401815762453729898439891566177393690214165528597076261819633127506334295042421<176>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1464538622
Step 1 took 359926ms
Step 2 took 136392ms
********** Factor found in step 2: 142021478699030646324860885993783768119
Found probable prime factor of 39 digits: 142021478699030646324860885993783768119
Composite cofactor 13690217111594783314619463689226499071555190513349892541083842609630416872677669415663111999492708401815762453729898439891566177393690214165528597076261819633127506334295042421 has 176 digits

98944754196494387358818203855877071037386275373145404263529458326943151291476404149742991000974605828835469715484359307980389149718254812425482231995765164520390040221042580874968461359599867414029376697520939183606833124724809902391<233>

20833460994718767148414253<26>
4749319098808241578588785782853549672516143137789110959080051266021108694004298480837066161372210284262884736244200738150798102719444003766128819278468353043485087801017164670262032907314185556412929499602547<208>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=821564662
Step 1 took 9374ms
Step 2 took 3922ms
********** Factor found in step 2: 20833460994718767148414253
Found probable prime factor of 26 digits: 20833460994718767148414253
Probable prime cofactor has 208 digits

51260924854214576883790027801534318781537391756082274755272931134722569173604589142704365236086711911180496919340545415169095513644958869024596744099768295314153227701276561602069187420305457100142461363590729180522681543549397789<230>

56572949627327999337675814857559<32>

906103096831503939361731342546528364684210293919371206439035784124966108509353686804188830570103109859260183043890148370161842294031943573339314265046061597981936935053465686921478148223421848012971<198>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1522721609
Step 1 took 41311ms
Step 2 took 18764ms
********** Factor found in step 2: 56572949627327999337675814857559
Found probable prime factor of 32 digits: 56572949627327999337675814857559
Composite cofactor 906103096831503939361731342546528364684210293919371206439035784124966108509353686804188830570103109859260183043890148370161842294031943573339314265046061597981936935053465686921478148223421848012971 has 198 digits

286720336485927528157074630618560246464682164906916560287778508735396405547709213906203402043919871078730293858859443563398583806211514827063151439774576464197437626780420026839120378675172965216885214233401641105690900415972557<228>

264166548527948161691233371387564085199610377736871<51>

1085377153480101709303447740369307212385362243216198244053275347333137535956863260092818083832308005894372883678951968125826945105066514628340990565901631831032286829298043068267<178>

03/25/24 10:32:27, Starting factorization of 286720336485927528157074630618560246464682164906916560287778508735396405547709213906203402043919871078730293858859443563398583806211514827063151439774576464197437626780420026839120378675172965216885214233401641105690900415972557
03/25/24 10:32:27, using pretesting plan: normal
03/25/24 10:32:27, custom pretesting limit is: 50
03/25/24 10:32:27, using tune info for qs/gnfs crossover
03/25/24 10:32:27, input indicated to have been pretested to t45.00
03/25/24 10:32:27, ****************************
03/25/24 10:32:27, current ECM pretesting depth: 45.000000
03/25/24 10:32:27, scheduled 1 curves at B1=651 toward target pretesting depth of 45.000000
03/25/24 10:32:27, rho: x^2 + 3, starting 1000 iterations on C228
03/25/24 10:32:28, rho: x^2 + 2, starting 1000 iterations on C228
03/25/24 10:32:28, rho: x^2 + 1, starting 1000 iterations on C228
03/25/24 10:32:28, nfs: input divides 10^242 + 15
03/25/24 10:32:28, nfs: using supplied cofactor: 286720336485927528157074630618560246464682164906916560287778508735396405547709213906203402043919871078730293858859443563398583806211514827063151439774576464197437626780420026839120378675172965216885214233401641105690900415972557
03/25/24 10:32:28, current ECM pretesting depth: 45.666312
03/25/24 10:32:28, scheduled 6419 curves at B1=43000000 toward target pretesting depth of 50.000000
03/25/24 21:59:43, prp51 = 264166548527948161691233371387564085199610377736871 (curve 583 stg2 B1=43000000 sigma=1904828009 thread=4)
03/25/24 22:05:17, Finished 589 curves using GMP-ECM method on C228 input, B1=43M, B2=gmp-ecm default
03/25/24 22:05:17, current ECM pretesting depth: 46.064070
03/25/24 22:05:17, scheduled 6419 curves at B1=43000000 toward target pretesting depth of 50.000000

.\yafu2.11 "factor(286720336485927528157074630618560246464682164906916560287778508735396405547709213906203402043919871078730293858859443563398583806211514827063151439774576464197437626780420026839120378675172965216885214233401641105690900415972557)" -work 45 -pretest 50

4081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367347<241>

598301600617633238291925741066574249<36>
6822031979937394094042382427923263195497047248689958485459220266506440404563867042452394156523754522724427523385409471476713046867648435929206332216179985044859877132275189312944267098519986626078807305403<205>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2971613829
Step 1 took 249577ms
Step 2 took 81487ms
********** Factor found in step 2: 598301600617633238291925741066574249
Found probable prime factor of 36 digits: 598301600617633238291925741066574249
Probable prime cofactor 6822031979937394094042382427923263195497047248689958485459220266506440404563867042452394156523754522724427523385409471476713046867648435929206332216179985044859877132275189312944267098519986626078807305403 has 205 digits

226338674336577663849869426853391918960149244370935963542079390245180635914086100065267291586958114924257787430634360717524197410669911723918466200190626104906373674295567690315324563994180562912756639660419572848435893201031<225>

968296582236923032226465104845999109<36>

233749326899097806110029159166617589598305063532831757381274243679957200416005087451099431222578019841974486267326745833842240275357267003215028562089459447719620647828761509015726182290459<189>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2876315301
Step 1 took 115013ms
Step 2 took 39561ms
********** Factor found in step 2: 968296582236923032226465104845999109
Found probable prime factor of 36 digits: 968296582236923032226465104845999109
Composite cofactor 233749326899097806110029159166617589598305063532831757381274243679957200416005087451099431222578019841974486267326745833842240275357267003215028562089459447719620647828761509015726182290459 has 189 digits

1483976702264232854261938813281277880100327562156834705502405347634883182582526949591509599762246003499087045626689364686926224013083697359708684746078327315819050090130912952860709553024048266083848883483412767499<214>

200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003<246>

6397592281888306385172750508836130410647589273710135869<55>
15176510844417676322078085602490646507276983688902079473476701244300421692052915503455058979721<95>
2059878003651738705074583981500086714416914728639047071846532324077474145687339476014622364979847<97>

prp55 factor: 6397592281888306385172750508836130410647589273710135869
prp95 factor: 15176510844417676322078085602490646507276983688902079473476701244300421692052915503455058979721
prp97 factor: 2059878003651738705074583981500086714416914728639047071846532324077474145687339476014622364979847

ggnfs-lasieve4I14e on the RSALS grid + MPI msieve on Greg's local cluster

290470601672353142224208158304414298064850225677917805409292800234955184160472147953703105750864533050025002034803665496008846407075523080012592927433810734327601081<165>

3581989853921960120548906898407049839043637359408048176681208494286388294114721<79>
81091966621377691240046862198509221528146383892810244318568626109720151817358689211161<86>

<polynomial selection by Lionel Debroux>

<sieving by RSALS>

<post-processing by Dmitry Domanov>
Tue Aug 30 15:03:40 2011  Msieve v. 1.48
Tue Aug 30 15:03:40 2011  random seeds: 187f4212 241d8f94
Tue Aug 30 15:03:40 2011  factoring 290470601672353142224208158304414298064850225677917805409292800234955184160472147953703105750864533050025002034803665496008846407075523080012592927433810734327601081 (165 digits)
Tue Aug 30 15:03:42 2011  searching for 15-digit factors
Tue Aug 30 15:03:42 2011  commencing number field sieve (165-digit input)
Tue Aug 30 15:03:42 2011  R0: -203125734871924473269460983777755
Tue Aug 30 15:03:42 2011  R1:  270037262896434739
Tue Aug 30 15:03:42 2011  A0:  40302937695031118398227988666151411372784
Tue Aug 30 15:03:42 2011  A1:  77432798206301658811902874860721488
Tue Aug 30 15:03:42 2011  A2: -1354021311531370556118107226
Tue Aug 30 15:03:42 2011  A3: -90198932059916825053
Tue Aug 30 15:03:42 2011  A4: -2690668515958
Tue Aug 30 15:03:42 2011  A5:  840
Tue Aug 30 15:03:42 2011  skew 49880902.58, size 4.229e-16, alpha -7.526, combined = 6.519e-13 rroots = 3
Tue Aug 30 15:03:42 2011
Tue Aug 30 15:03:42 2011  commencing relation filtering
Tue Aug 30 15:03:42 2011  estimated available RAM is 7972.4 MB
Tue Aug 30 15:03:42 2011  commencing duplicate removal, pass 1
<snip errors reading relations>
Tue Aug 30 15:37:45 2011  found 30066198 hash collisions in 122150918 relations
Tue Aug 30 15:38:51 2011  added 121434 free relations
Tue Aug 30 15:38:51 2011  commencing duplicate removal, pass 2
Tue Aug 30 15:53:20 2011  found 32295942 duplicates and 89976410 unique relations
Tue Aug 30 15:53:20 2011  memory use: 724.8 MB
Tue Aug 30 15:53:20 2011  reading ideals above 96534528
Tue Aug 30 15:53:20 2011  commencing singleton removal, initial pass
Tue Aug 30 16:23:39 2011  memory use: 1506.0 MB
Tue Aug 30 16:23:40 2011  reading all ideals from disk
Tue Aug 30 16:23:47 2011  memory use: 1558.4 MB
Tue Aug 30 16:23:58 2011  commencing in-memory singleton removal
Tue Aug 30 16:24:09 2011  begin with 89976410 relations and 77952517 unique ideals
Tue Aug 30 16:25:59 2011  reduce to 52618342 relations and 36251498 ideals in 15 passes
Tue Aug 30 16:25:59 2011  max relations containing the same ideal: 31
Tue Aug 30 16:26:07 2011  reading ideals above 720000
Tue Aug 30 16:26:08 2011  commencing singleton removal, initial pass
Tue Aug 30 16:52:22 2011  memory use: 1378.0 MB
Tue Aug 30 16:52:22 2011  reading all ideals from disk
Tue Aug 30 16:52:32 2011  memory use: 1997.4 MB
Tue Aug 30 16:52:47 2011  keeping 47105082 ideals with weight <= 200, target excess is 282752
Tue Aug 30 16:53:03 2011  commencing in-memory singleton removal
Tue Aug 30 16:53:17 2011  begin with 52618342 relations and 47105082 unique ideals
Tue Aug 30 16:55:52 2011  reduce to 52482992 relations and 46969666 ideals in 11 passes
Tue Aug 30 16:55:52 2011  max relations containing the same ideal: 200
Tue Aug 30 16:56:55 2011  removing 6384157 relations and 5384158 ideals in 1000000 cliques
Tue Aug 30 16:57:00 2011  commencing in-memory singleton removal
Tue Aug 30 16:57:12 2011  begin with 46098835 relations and 46969666 unique ideals
Tue Aug 30 16:58:52 2011  reduce to 45631263 relations and 41107469 ideals in 8 passes
Tue Aug 30 16:58:52 2011  max relations containing the same ideal: 188
Tue Aug 30 16:59:49 2011  removing 4784217 relations and 3784217 ideals in 1000000 cliques
Tue Aug 30 16:59:52 2011  commencing in-memory singleton removal
Tue Aug 30 17:00:04 2011  begin with 40847046 relations and 41107469 unique ideals
Tue Aug 30 17:01:32 2011  reduce to 40526052 relations and 36995531 ideals in 8 passes
Tue Aug 30 17:01:32 2011  max relations containing the same ideal: 177
Tue Aug 30 17:02:22 2011  removing 4287699 relations and 3287699 ideals in 1000000 cliques
Tue Aug 30 17:02:25 2011  commencing in-memory singleton removal
Tue Aug 30 17:02:35 2011  begin with 36238353 relations and 36995531 unique ideals
Tue Aug 30 17:04:12 2011  reduce to 35946446 relations and 33409529 ideals in 10 passes
Tue Aug 30 17:04:12 2011  max relations containing the same ideal: 165
Tue Aug 30 17:04:56 2011  removing 4005967 relations and 3005967 ideals in 1000000 cliques
Tue Aug 30 17:04:59 2011  commencing in-memory singleton removal
Tue Aug 30 17:05:08 2011  begin with 31940479 relations and 33409529 unique ideals
Tue Aug 30 17:06:15 2011  reduce to 31634583 relations and 30090253 ideals in 8 passes
Tue Aug 30 17:06:15 2011  max relations containing the same ideal: 149
Tue Aug 30 17:06:54 2011  removing 3838159 relations and 2838159 ideals in 1000000 cliques
Tue Aug 30 17:06:57 2011  commencing in-memory singleton removal
Tue Aug 30 17:07:04 2011  begin with 27796424 relations and 30090253 unique ideals
Tue Aug 30 17:08:03 2011  reduce to 27468293 relations and 26915028 ideals in 8 passes
Tue Aug 30 17:08:03 2011  max relations containing the same ideal: 135
Tue Aug 30 17:08:37 2011  removing 1155591 relations and 930319 ideals in 225272 cliques
Tue Aug 30 17:08:39 2011  commencing in-memory singleton removal
Tue Aug 30 17:08:46 2011  begin with 26312702 relations and 26915028 unique ideals
Tue Aug 30 17:09:28 2011  reduce to 26283122 relations and 25954915 ideals in 6 passes
Tue Aug 30 17:09:28 2011  max relations containing the same ideal: 130
Tue Aug 30 17:10:13 2011  relations with 0 large ideals: 950
Tue Aug 30 17:10:13 2011  relations with 1 large ideals: 1522
Tue Aug 30 17:10:13 2011  relations with 2 large ideals: 24641
Tue Aug 30 17:10:13 2011  relations with 3 large ideals: 219480
Tue Aug 30 17:10:13 2011  relations with 4 large ideals: 1072218
Tue Aug 30 17:10:13 2011  relations with 5 large ideals: 3178767
Tue Aug 30 17:10:13 2011  relations with 6 large ideals: 6025218
Tue Aug 30 17:10:13 2011  relations with 7+ large ideals: 15760326
Tue Aug 30 17:10:13 2011  commencing 2-way merge
Tue Aug 30 17:10:57 2011  reduce to 17743371 relation sets and 17415164 unique ideals
Tue Aug 30 17:10:57 2011  commencing full merge
Tue Aug 30 17:20:21 2011  memory use: 1997.7 MB
Tue Aug 30 17:20:25 2011  found 9462414 cycles, need 9417364
Tue Aug 30 17:20:32 2011  weight of 9417364 cycles is about 659582568 (70.04/cycle)
Tue Aug 30 17:20:32 2011  distribution of cycle lengths:
Tue Aug 30 17:20:32 2011  1 relations: 1039593
Tue Aug 30 17:20:32 2011  2 relations: 1210395
Tue Aug 30 17:20:32 2011  3 relations: 1264534
Tue Aug 30 17:20:32 2011  4 relations: 1166335
Tue Aug 30 17:20:32 2011  5 relations: 1043669
Tue Aug 30 17:20:32 2011  6 relations: 891809
Tue Aug 30 17:20:32 2011  7 relations: 738508
Tue Aug 30 17:20:32 2011  8 relations: 588161
Tue Aug 30 17:20:32 2011  9 relations: 449524
Tue Aug 30 17:20:32 2011  10+ relations: 1024836
Tue Aug 30 17:20:32 2011  heaviest cycle: 19 relations
Tue Aug 30 17:20:37 2011  commencing cycle optimization
Tue Aug 30 17:21:05 2011  start with 48363523 relations
Tue Aug 30 17:23:15 2011  pruned 1231003 relations
Tue Aug 30 17:23:17 2011  memory use: 1592.5 MB
Tue Aug 30 17:23:17 2011  distribution of cycle lengths:
Tue Aug 30 17:23:17 2011  1 relations: 1039593
Tue Aug 30 17:23:17 2011  2 relations: 1237742
Tue Aug 30 17:23:17 2011  3 relations: 1313161
Tue Aug 30 17:23:17 2011  4 relations: 1195821
Tue Aug 30 17:23:17 2011  5 relations: 1070143
Tue Aug 30 17:23:17 2011  6 relations: 903450
Tue Aug 30 17:23:17 2011  7 relations: 741611
Tue Aug 30 17:23:17 2011  8 relations: 578479
Tue Aug 30 17:23:17 2011  9 relations: 434833
Tue Aug 30 17:23:17 2011  10+ relations: 902531
Tue Aug 30 17:23:17 2011  heaviest cycle: 19 relations
Tue Aug 30 17:23:41 2011  RelProcTime: 8399
Tue Aug 30 17:23:48 2011
Tue Aug 30 17:23:48 2011  commencing linear algebra
Tue Aug 30 17:23:50 2011  read 9417364 cycles
Tue Aug 30 17:24:17 2011  cycles contain 26102032 unique relations
Tue Aug 30 17:41:51 2011  read 26102032 relations
Tue Aug 30 17:43:00 2011  using 20 quadratic characters above 1073740782
Tue Aug 30 17:46:25 2011  building initial matrix
Tue Aug 30 17:56:06 2011  memory use: 3593.8 MB
Tue Aug 30 17:56:18 2011  read 9417364 cycles
Tue Aug 30 17:56:22 2011  matrix is 9417186 x 9417364 (2862.8 MB) with weight 902185560 (95.80/col)
Tue Aug 30 17:56:22 2011  sparse part has weight 637445187 (67.69/col)
Tue Aug 30 17:59:46 2011  filtering completed in 2 passes
Tue Aug 30 17:59:50 2011  matrix is 9415621 x 9415799 (2862.6 MB) with weight 902134367 (95.81/col)
Tue Aug 30 17:59:50 2011  sparse part has weight 637436135 (67.70/col)
Tue Aug 30 18:00:43 2011  matrix starts at (0, 0)
Tue Aug 30 18:00:47 2011  matrix is 9415621 x 9415799 (2862.6 MB) with weight 902134367 (95.81/col)
Tue Aug 30 18:00:47 2011  sparse part has weight 637436135 (67.70/col)
Tue Aug 30 18:00:47 2011  saving the first 48 matrix rows for later
Tue Aug 30 18:00:50 2011  matrix includes 64 packed rows
Tue Aug 30 18:00:53 2011  matrix is 9415573 x 9415799 (2781.5 MB) with weight 722697476 (76.75/col)
Tue Aug 30 18:00:53 2011  sparse part has weight 634987720 (67.44/col)
Tue Aug 30 18:00:53 2011  using block size 262144 for processor cache size 6144 kB
Tue Aug 30 18:01:29 2011  commencing Lanczos iteration
Tue Aug 30 18:01:29 2011  memory use: 3123.7 MB
Tue Aug 30 18:05:47 2011  linear algebra at 0.0%, ETA 426h23m
Tue Aug 30 18:07:09 2011  checkpointing every 30000 dimensions

Tue Aug 30 19:27:24 2011  Msieve v. 1.48
Tue Aug 30 19:27:24 2011  random seeds: b13f6107 442d03a7
Tue Aug 30 19:27:24 2011  factoring 290470601672353142224208158304414298064850225677917805409292800234955184160472147953703105750864533050025002034803665496008846407075523080012592927433810734327601081 (165 digits)
Tue Aug 30 19:27:26 2011  searching for 15-digit factors
Tue Aug 30 19:27:27 2011  commencing number field sieve (165-digit input)
Tue Aug 30 19:27:27 2011  R0: -203125734871924473269460983777755
Tue Aug 30 19:27:27 2011  R1:  270037262896434739
Tue Aug 30 19:27:27 2011  A0:  40302937695031118398227988666151411372784
Tue Aug 30 19:27:27 2011  A1:  77432798206301658811902874860721488
Tue Aug 30 19:27:27 2011  A2: -1354021311531370556118107226
Tue Aug 30 19:27:27 2011  A3: -90198932059916825053
Tue Aug 30 19:27:27 2011  A4: -2690668515958
Tue Aug 30 19:27:27 2011  A5:  840
Tue Aug 30 19:27:27 2011  skew 49880902.58, size 4.229e-16, alpha -7.526, combined = 6.519e-13 rroots = 3
Tue Aug 30 19:27:27 2011
Tue Aug 30 19:27:27 2011  commencing linear algebra
Tue Aug 30 19:27:39 2011  matrix starts at (0, 0)
Tue Aug 30 19:27:46 2011  matrix is 9415621 x 9415799 (2862.6 MB) with weight 902134367 (95.81/col)
Tue Aug 30 19:27:46 2011  sparse part has weight 637436135 (67.70/col)
Tue Aug 30 19:27:46 2011  saving the first 48 matrix rows for later
Tue Aug 30 19:27:52 2011  matrix includes 64 packed rows
Tue Aug 30 19:27:56 2011  matrix is 9415573 x 9415799 (2781.5 MB) with weight 722697476 (76.75/col)
Tue Aug 30 19:27:56 2011  sparse part has weight 634987720 (67.44/col)
Tue Aug 30 19:27:56 2011  using block size 262144 for processor cache size 6144 kB
Tue Aug 30 19:29:00 2011  commencing Lanczos iteration
Tue Aug 30 19:29:00 2011  memory use: 3123.7 MB
Tue Aug 30 19:29:01 2011  restarting at iteration 475 (dim = 30037)
Tue Aug 30 19:33:56 2011  linear algebra at 0.3%, ETA 505h54m
Tue Aug 30 19:35:01 2011  checkpointing every 20000 dimensions
Tue Aug 30 21:06:32 2011
Tue Aug 30 21:06:32 2011
Tue Aug 30 21:06:32 2011  Msieve v. 1.48
Tue Aug 30 21:06:32 2011  random seeds: 7acf7298 280f9448
Tue Aug 30 21:06:32 2011  factoring 290470601672353142224208158304414298064850225677917805409292800234955184160472147953703105750864533050025002034803665496008846407075523080012592927433810734327601081 (165 digits)
Tue Aug 30 21:06:33 2011  searching for 15-digit factors
Tue Aug 30 21:06:34 2011  commencing number field sieve (165-digit input)
Tue Aug 30 21:06:34 2011  R0: -203125734871924473269460983777755
Tue Aug 30 21:06:34 2011  R1:  270037262896434739
Tue Aug 30 21:06:34 2011  A0:  40302937695031118398227988666151411372784
Tue Aug 30 21:06:34 2011  A1:  77432798206301658811902874860721488
Tue Aug 30 21:06:34 2011  A2: -1354021311531370556118107226
Tue Aug 30 21:06:34 2011  A3: -90198932059916825053
Tue Aug 30 21:06:34 2011  A4: -2690668515958
Tue Aug 30 21:06:34 2011  A5:  840
Tue Aug 30 21:06:34 2011  skew 49880902.58, size 4.229e-16, alpha -7.526, combined = 6.519e-13 rroots = 3
Tue Aug 30 21:06:34 2011
Tue Aug 30 21:06:34 2011  commencing linear algebra
Tue Aug 30 21:06:45 2011  matrix starts at (0, 0)
Tue Aug 30 21:06:48 2011  matrix is 9415621 x 9415799 (2862.6 MB) with weight 902134367 (95.81/col)
Tue Aug 30 21:06:48 2011  sparse part has weight 637436135 (67.70/col)
Tue Aug 30 21:06:48 2011  saving the first 48 matrix rows for later
Tue Aug 30 21:06:51 2011  matrix includes 64 packed rows
Tue Aug 30 21:06:54 2011  matrix is 9415573 x 9415799 (2781.5 MB) with weight 722697476 (76.75/col)
Tue Aug 30 21:06:54 2011  sparse part has weight 634987720 (67.44/col)
Tue Aug 30 21:06:54 2011  using block size 262144 for processor cache size 6144 kB
Tue Aug 30 21:07:26 2011  commencing Lanczos iteration (8 threads)
Tue Aug 30 21:07:26 2011  memory use: 3626.6 MB
Tue Aug 30 21:07:26 2011  restarting at iteration 949 (dim = 60009)
Tue Aug 30 21:09:03 2011  linear algebra at 0.7%, ETA 166h 8m
Tue Aug 30 21:09:36 2011  checkpointing every 60000 dimensions
Tue Sep  6 12:48:59 2011  lanczos halted after 148900 iterations (dim = 9415573)
Tue Sep  6 12:49:15 2011  recovered 33 nontrivial dependencies
Tue Sep  6 12:49:16 2011  BLanczosTime: 574962
Tue Sep  6 12:49:16 2011  elapsed time 159:42:44


Tue Sep  6 13:19:42 2011  Msieve v. 1.48
Tue Sep  6 13:19:42 2011  random seeds: cc8acad6 c999cd94
Tue Sep  6 13:19:42 2011  factoring 290470601672353142224208158304414298064850225677917805409292800234955184160472147953703105750864533050025002034803665496008846407075523080012592927433810734327601081 (165 digits)
Tue Sep  6 13:19:44 2011  searching for 15-digit factors
Tue Sep  6 13:19:44 2011  commencing number field sieve (165-digit input)
Tue Sep  6 13:19:44 2011  R0: -203125734871924473269460983777755
Tue Sep  6 13:19:44 2011  R1:  270037262896434739
Tue Sep  6 13:19:44 2011  A0:  40302937695031118398227988666151411372784
Tue Sep  6 13:19:44 2011  A1:  77432798206301658811902874860721488
Tue Sep  6 13:19:44 2011  A2: -1354021311531370556118107226
Tue Sep  6 13:19:44 2011  A3: -90198932059916825053
Tue Sep  6 13:19:44 2011  A4: -2690668515958
Tue Sep  6 13:19:44 2011  A5:  840
Tue Sep  6 13:19:44 2011  skew 49880902.58, size 4.229e-16, alpha -7.526, combined = 6.519e-13 rroots = 3
Tue Sep  6 13:19:44 2011
Tue Sep  6 13:19:44 2011  commencing square root phase
Tue Sep  6 13:19:44 2011  reading relations for dependency 1
Tue Sep  6 13:19:46 2011  read 4707611 cycles
Tue Sep  6 13:19:58 2011  cycles contain 13047850 unique relations
Tue Sep  6 13:33:43 2011  read 13047850 relations
Tue Sep  6 13:35:34 2011  multiplying 13047850 relations
Tue Sep  6 14:09:40 2011  multiply complete, coefficients have about 680.58 million bits
Tue Sep  6 14:09:49 2011  initial square root is modulo 1276001
Tue Sep  6 14:49:06 2011  sqrtTime: 5362
Tue Sep  6 14:49:06 2011  prp79 factor: 3581989853921960120548906898407049839043637359408048176681208494286388294114721
Tue Sep  6 14:49:06 2011  prp86 factor: 81091966621377691240046862198509221528146383892810244318568626109720151817358689211161
Tue Sep  6 14:49:06 2011  elapsed time 01:29:24

ggnfs-lasieve4I14e on the RSALS grid + msieve 1.48