8232257430710662924239731952987915181762043100030155472279497860444774314935742322096363<88>

424526997157871740709451714349<30>
19391599323067968240349073217833048236297221580179043252087<59>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4290640363
Step 1 took 13322ms
Step 2 took 11825ms
********** Factor found in step 2: 424526997157871740709451714349
Found probable prime factor of 30 digits: 424526997157871740709451714349
Probable prime cofactor 19391599323067968240349073217833048236297221580179043252087 has 59 digits

GMP-ECM 6.2.3

2152779572282545846594364589676160012127004041056263479128457729310325591498628174287149371641<94>

16101721324308526861743742054213836974933<41>
133698722572755426933995864448080569564511164763174677<54>

N=2152779572282545846594364589676160012127004041056263479128457729310325591498628174287149371641
  ( 94 digits)
SNFS difficulty: 109 digits.
Divisors found:
 r1=16101721324308526861743742054213836974933 (pp41)
 r2=133698722572755426933995864448080569564511164763174677 (pp54)
Version: Msieve-1.40
Total time: 0.66 hours.
Scaled time: 1.30 units (timescale=1.976).
Factorization parameters were as follows:
n: 2152779572282545846594364589676160012127004041056263479128457729310325591498628174287149371641
m: 1000000000000000000000
deg: 5
c5: 82000
c0: 17
skew: 0.18
type: snfs
lss: 1
rlim: 480000
alim: 480000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2Factor base limits: 480000/480000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [240000, 390001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 45068 x 45297
Total sieving time: 0.64 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,109.000,5,0,0,0,0,0,0,0,0,480000,480000,25,25,44,44,2.2,2.2,50000
total time: 0.66 hours.
 --------- CPU info (if available) ----------

9437212967095675808136944327276266499616028000919815225032432046925082163512238527067697417941358790569783<106>

58904041833356176446868396204854137<35>
160213334660365726347569735436214020853105553782916747404423833617626159<72>

Number: new02
N=9437212967095675808136944327276266499616028000919815225032432046925082163512238527067697417941358790569783
  ( 106 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=58904041833356176446868396204854137 (pp35)
 r2=160213334660365726347569735436214020853105553782916747404423833617626159 (pp72)
Version: Msieve-1.40
Total time: 0.70 hours.
Scaled time: 1.37 units (timescale=1.963).
Factorization parameters were as follows:
n: 9437212967095675808136944327276266499616028000919815225032432046925082163512238527067697417941358790569783
m: 10000000000000000000000
deg: 5
c5: 82000
c0: 17
skew: 0.18
type: snfs
lss: 1
rlim: 580000
alim: 580000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 580000/580000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [290000, 440001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 64676 x 64924
Total sieving time: 0.65 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,114.000,5,0,0,0,0,0,0,0,0,580000,580000,25,25,45,45,2.2,2.2,50000
total time: 0.70 hours.
 --------- CPU info (if available) ----------

156921962936352924821672445212942066403883640466955073559787417177181567591453509841725742332981<96>

395513798260482605230147343726960780544626357<45>
396754711533490479955627887553016356675121709557633<51>

Number: new03
N=156921962936352924821672445212942066403883640466955073559787417177181567591453509841725742332981
  ( 96 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=395513798260482605230147343726960780544626357 (pp45)
 r2=396754711533490479955627887553016356675121709557633 (pp51)
Version: Msieve-1.40
Total time: 0.69 hours.
Scaled time: 1.35 units (timescale=1.957).
Factorization parameters were as follows:
n: 156921962936352924821672445212942066403883640466955073559787417177181567591453509841725742332981
m: 100000000000000000000000
deg: 5
c5: 82
c0: 17
skew: 0.73
type: snfs
lss: 1
rlim: 620000
alim: 620000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 620000/620000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [310000, 460001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 70994 x 71238
Total sieving time: 0.66 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,116.000,5,0,0,0,0,0,0,0,0,620000,620000,25,25,45,45,2.2,2.2,50000
total time: 0.69 hours.
 --------- CPU info (if available) ----------

1926239135541461122856471693680996006577401926239135541461122856471693680996006577401926239135541461122856471693681<115>

53649951339299568414580805184063827608831933<44>
35903837514395950702633260064154845446078952215044771853869359071279557<71>

Number: new06
N=1926239135541461122856471693680996006577401926239135541461122856471693680996006577401926239135541461122856471693681
  ( 115 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=53649951339299568414580805184063827608831933 (pp44)
 r2=35903837514395950702633260064154845446078952215044771853869359071279557 (pp71)
Version: Msieve-1.40
Total time: 0.94 hours.
Scaled time: 1.85 units (timescale=1.969).
Factorization parameters were as follows:
n: 1926239135541461122856471693680996006577401926239135541461122856471693680996006577401926239135541461122856471693681
m: 100000000000000000000000
deg: 5
c5: 820
c0: 17
skew: 0.46
type: snfs
lss: 1
rlim: 650000
alim: 650000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 650000/650000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [325000, 525001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 61190 x 61417
Total sieving time: 0.92 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,117.000,5,0,0,0,0,0,0,0,0,650000,650000,25,25,45,45,2.2,2.2,50000
total time: 0.94 hours.
 --------- CPU info (if available) ----------

12615964949772304910641274113993859102134082783192642246158707915948749027070629864358375869905400263796750035117<113>

4411568943106145027377702197071130118488686287<46>
2859745617143074790617946050496807030308480985808995707692969009091<67>

Number: new04
N=12615964949772304910641274113993859102134082783192642246158707915948749027070629864358375869905400263796750035117
  ( 113 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=4411568943106145027377702197071130118488686287 (pp46)
 r2=2859745617143074790617946050496807030308480985808995707692969009091 (pp67)
Version: Msieve-1.40
Total time: 0.90 hours.
Scaled time: 1.68 units (timescale=1.872).
Factorization parameters were as follows:
n: 12615964949772304910641274113993859102134082783192642246158707915948749027070629864358375869905400263796750035117
m: 100000000000000000000000
deg: 5
c5: 8200
c0: 17
skew: 0.29
type: snfs
lss: 1
rlim: 670000
alim: 670000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 670000/670000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [335000, 535001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 71549 x 71774
Total sieving time: 0.86 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,118.000,5,0,0,0,0,0,0,0,0,670000,670000,25,25,45,45,2.2,2.2,50000
total time: 0.90 hours.
 --------- CPU info (if available) ----------

1548526522906332734123934391472824817622177393546066627610950264982280141324131538634217104730865034648691319<109>

19358978785793377327080326587774258919<38>
79990093487923123810561090268630250574753998267826600908906544461999601<71>

Number: new05
N=1548526522906332734123934391472824817622177393546066627610950264982280141324131538634217104730865034648691319
  ( 109 digits)
SNFS difficulty: 119 digits.
Divisors found:
 r1=19358978785793377327080326587774258919 (pp38)
 r2=79990093487923123810561090268630250574753998267826600908906544461999601 (pp71)
Version: Msieve-1.40
Total time: 1.14 hours.
Scaled time: 2.13 units (timescale=1.866).
Factorization parameters were as follows:
n: 1548526522906332734123934391472824817622177393546066627610950264982280141324131538634217104730865034648691319
m: 100000000000000000000000
deg: 5
c5: 82000
c0: 17
skew: 0.18
type: snfs
lss: 1
rlim: 700000
alim: 700000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [350000, 600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 74705 x 74930
Total sieving time: 1.10 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,119.000,5,0,0,0,0,0,0,0,0,700000,700000,25,25,45,45,2.2,2.2,50000
total time: 1.14 hours.
 --------- CPU info (if available) ----------

4084096945994604362744365922287820280557353996440751969290426829970583826294777389978148390339<94>

3167222596829843362126224842963174113<37>
1289488446464888423303930110468481224313172194004571636003<58>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1085336403
Step 1 took 13072ms
Step 2 took 11560ms
********** Factor found in step 2: 3167222596829843362126224842963174113
Found probable prime factor of 37 digits: 3167222596829843362126224842963174113
Probable prime cofactor 1289488446464888423303930110468481224313172194004571636003 has 58 digits

GMP-ECM 6.2.3

77288774750303429237718718028267287490143393283755912149291336853267713278790592316228549534604597177571<104>

341133264788837302071889527125167386878645069<45>
226564755560104800325507146561352151330748973602951850936559<60>

Number: 91113_122
N=77288774750303429237718718028267287490143393283755912149291336853267713278790592316228549534604597177571
  ( 104 digits)
SNFS difficulty: 123 digits.
Divisors found:
 r1=341133264788837302071889527125167386878645069 (pp45)
 r2=226564755560104800325507146561352151330748973602951850936559 (pp60)
Version: Msieve-1.40
Total time: 1.81 hours.
Scaled time: 4.63 units (timescale=2.554).
Factorization parameters were as follows:
name: 91113_122
n: 77288774750303429237718718028267287490143393283755912149291336853267713278790592316228549534604597177571
m: 1000000000000000000000000
deg: 5
c5: 8200
c0: 17
skew: 0.29
type: snfs
lss: 1
rlim: 810000
alim: 810000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 810000/810000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [405000, 705001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 92542 x 92790
Total sieving time: 1.77 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,123.000,5,0,0,0,0,0,0,0,0,810000,810000,25,25,46,46,2.2,2.2,50000
total time: 1.81 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

200455768682162479107271429289641747544355692706538159784451450848603569631999850211<84>

332364045178146222460874098841<30>
603121100462953907584530829817841230409992416866532571<54>

Thu May 13 16:10:13 2010  
Thu May 13 16:10:13 2010  
Thu May 13 16:10:13 2010  Msieve v. 1.42
Thu May 13 16:10:13 2010  random seeds: 2a7ea228 6ab1ddfe
Thu May 13 16:10:13 2010  factoring 128728341404049487627120818266606063157828410785757168645018581916840735311581874309823 (87 digits)
Thu May 13 16:10:14 2010  searching for 15-digit factors
Thu May 13 16:10:15 2010  commencing quadratic sieve (87-digit input)
Thu May 13 16:10:15 2010  using multiplier of 17
Thu May 13 16:10:15 2010  using 32kb Intel Core sieve core
Thu May 13 16:10:15 2010  sieve interval: 19 blocks of size 32768
Thu May 13 16:10:15 2010  processing polynomials in batches of 11
Thu May 13 16:10:15 2010  using a sieve bound of 1480243 (56232 primes)
Thu May 13 16:10:15 2010  using large prime bound of 118419440 (26 bits)
Thu May 13 16:10:15 2010  using double large prime bound of 340534638927600 (41-49 bits)
Thu May 13 16:10:15 2010  using trial factoring cutoff of 49 bits
Thu May 13 16:10:15 2010  polynomial 'A' values have 11 factors
Thu May 13 16:59:16 2010  56426 relations (15794 full + 40632 combined from 592438 partial), need 56328
Thu May 13 16:59:17 2010  begin with 608232 relations
Thu May 13 16:59:17 2010  reduce to 135113 relations in 9 passes
Thu May 13 16:59:17 2010  attempting to read 135113 relations
Thu May 13 16:59:19 2010  recovered 135113 relations
Thu May 13 16:59:19 2010  recovered 113761 polynomials
Thu May 13 16:59:19 2010  attempting to build 56426 cycles
Thu May 13 16:59:19 2010  found 56426 cycles in 5 passes
Thu May 13 16:59:19 2010  distribution of cycle lengths:
Thu May 13 16:59:19 2010     length 1 : 15794
Thu May 13 16:59:19 2010     length 2 : 11030
Thu May 13 16:59:19 2010     length 3 : 9956
Thu May 13 16:59:19 2010     length 4 : 7435
Thu May 13 16:59:19 2010     length 5 : 5016
Thu May 13 16:59:19 2010     length 6 : 3179
Thu May 13 16:59:19 2010     length 7 : 1835
Thu May 13 16:59:19 2010     length 9+: 2181
Thu May 13 16:59:19 2010  largest cycle: 18 relations
Thu May 13 16:59:20 2010  matrix is 56232 x 56426 (13.3 MB) with weight 3261000 (57.79/col)
Thu May 13 16:59:20 2010  sparse part has weight 3261000 (57.79/col)
Thu May 13 16:59:20 2010  filtering completed in 3 passes
Thu May 13 16:59:20 2010  matrix is 51777 x 51837 (12.3 MB) with weight 3025820 (58.37/col)
Thu May 13 16:59:20 2010  sparse part has weight 3025820 (58.37/col)
Thu May 13 16:59:20 2010  saving the first 48 matrix rows for later
Thu May 13 16:59:20 2010  matrix is 51729 x 51837 (8.1 MB) with weight 2395976 (46.22/col)
Thu May 13 16:59:20 2010  sparse part has weight 1821461 (35.14/col)
Thu May 13 16:59:20 2010  matrix includes 64 packed rows
Thu May 13 16:59:20 2010  using block size 20734 for processor cache size 4096 kB
Thu May 13 16:59:21 2010  commencing Lanczos iteration
Thu May 13 16:59:21 2010  memory use: 8.2 MB
Thu May 13 16:59:39 2010  lanczos halted after 819 iterations (dim = 51727)
Thu May 13 16:59:40 2010  recovered 18 nontrivial dependencies
Thu May 13 16:59:40 2010  prp41 factor: 33118188751671819378887504895087468470987
Thu May 13 16:59:40 2010  prp46 factor: 3886937850656196577292061071532898451695457629
Thu May 13 16:59:40 2010  elapsed time 00:49:27
Thu May 13 18:17:23 2010  
Thu May 13 18:17:23 2010  
Thu May 13 18:17:23 2010  Msieve v. 1.42
Thu May 13 18:17:23 2010  random seeds: 157caf40 fb66b0e4
Thu May 13 18:17:23 2010  factoring 200455768682162479107271429289641747544355692706538159784451450848603569631999850211 (84 digits)
Thu May 13 18:17:24 2010  searching for 15-digit factors
Thu May 13 18:17:25 2010  searching for 20-digit factors
Thu May 13 18:17:33 2010  commencing quadratic sieve (84-digit input)
Thu May 13 18:17:33 2010  using multiplier of 1
Thu May 13 18:17:33 2010  using 32kb Intel Core sieve core
Thu May 13 18:17:33 2010  sieve interval: 12 blocks of size 32768
Thu May 13 18:17:33 2010  processing polynomials in batches of 17
Thu May 13 18:17:33 2010  using a sieve bound of 1392233 (53235 primes)
Thu May 13 18:17:33 2010  using large prime bound of 121124271 (26 bits)
Thu May 13 18:17:33 2010  using trial factoring cutoff of 27 bits
Thu May 13 18:17:33 2010  polynomial 'A' values have 11 factors
Thu May 13 18:55:54 2010  53454 relations (26508 full + 26946 combined from 286577 partial), need 53331
Thu May 13 18:55:54 2010  begin with 313085 relations
Thu May 13 18:55:54 2010  reduce to 76959 relations in 2 passes
Thu May 13 18:55:54 2010  attempting to read 76959 relations
Thu May 13 18:55:55 2010  recovered 76959 relations
Thu May 13 18:55:55 2010  recovered 71638 polynomials
Thu May 13 18:55:55 2010  attempting to build 53454 cycles
Thu May 13 18:55:55 2010  found 53454 cycles in 1 passes
Thu May 13 18:55:55 2010  distribution of cycle lengths:
Thu May 13 18:55:55 2010     length 1 : 26508
Thu May 13 18:55:55 2010     length 2 : 26946
Thu May 13 18:55:55 2010  largest cycle: 2 relations
Thu May 13 18:55:55 2010  matrix is 53235 x 53454 (7.4 MB) with weight 1734372 (32.45/col)
Thu May 13 18:55:55 2010  sparse part has weight 1734372 (32.45/col)
Thu May 13 18:55:56 2010  filtering completed in 3 passes
Thu May 13 18:55:56 2010  matrix is 39985 x 40049 (6.0 MB) with weight 1423914 (35.55/col)
Thu May 13 18:55:56 2010  sparse part has weight 1423914 (35.55/col)
Thu May 13 18:55:56 2010  saving the first 48 matrix rows for later
Thu May 13 18:55:56 2010  matrix is 39937 x 40049 (3.8 MB) with weight 1060767 (26.49/col)
Thu May 13 18:55:56 2010  sparse part has weight 754268 (18.83/col)
Thu May 13 18:55:56 2010  matrix includes 64 packed rows
Thu May 13 18:55:56 2010  using block size 16019 for processor cache size 4096 kB
Thu May 13 18:55:56 2010  commencing Lanczos iteration
Thu May 13 18:55:56 2010  memory use: 4.7 MB
Thu May 13 18:56:05 2010  lanczos halted after 633 iterations (dim = 39937)
Thu May 13 18:56:05 2010  recovered 18 nontrivial dependencies
Thu May 13 18:56:06 2010  prp30 factor: 332364045178146222460874098841
Thu May 13 18:56:06 2010  prp54 factor: 603121100462953907584530829817841230409992416866532571
Thu May 13 18:56:06 2010  elapsed time 00:38:43

msieve v1.42

812576862351072366958894078111903725828048329529980020047389956214874226691832999612649375028444535393246074243<111>

17335781223099759479980063660697<32>
46872814780814239820495120925902378381763602986378483952065038288081544226193019<80>

Number: 91113_127
N=812576862351072366958894078111903725828048329529980020047389956214874226691832999612649375028444535393246074243
  ( 111 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=17335781223099759479980063660697 (pp32)
 r2=46872814780814239820495120925902378381763602986378483952065038288081544226193019 (pp80)
Version: Msieve-1.40
Total time: 2.37 hours.
Scaled time: 5.21 units (timescale=2.195).
Factorization parameters were as follows:
name: 91113_127
n: 812576862351072366958894078111903725828048329529980020047389956214874226691832999612649375028444535393246074243
m: 10000000000000000000000000
deg: 5
c5: 8200
c0: 17
skew: 0.29
type: snfs
lss: 1
rlim: 990000
alim: 990000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 990000/990000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [495000, 845001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 132788 x 133028
Total sieving time: 2.30 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,128.000,5,0,0,0,0,0,0,0,0,990000,990000,26,26,47,47,2.3,2.3,50000
total time: 2.37 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

8599740021067304293004004783832673438504937864362824196186162211185624330946948842629525267705421869043235314367917<115>

13211190807228261524360237758892253183640691<44>
650943593696498105239599153683548357429082643805327773445279658405825887<72>

Number: 91113_128
N=8599740021067304293004004783832673438504937864362824196186162211185624330946948842629525267705421869043235314367917
  ( 115 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=13211190807228261524360237758892253183640691 (pp44)
 r2=650943593696498105239599153683548357429082643805327773445279658405825887 (pp72)
Version: Msieve v. 1.42
Total time: 0.14 hours.
Scaled time: 0.12 units (timescale=0.851).
Factorization parameters were as follows:
name: 91113_128
n: 8599740021067304293004004783832673438504937864362824196186162211185624330946948842629525267705421869043235314367917
m: 10000000000000000000000000
deg: 5
c5: 82000
c0: 17
skew: 0.18
type: snfs
lss: 1
rlim: 1020000
alim: 1020000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1020000/1020000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [510000, 910001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 136799 x 137025
Total sieving time: 0.00 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,129.000,5,0,0,0,0,0,0,0,0,1020000,1020000,26,26,47,47,2.3,2.3,50000
total time: 0.14 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5827.57 BogoMIPS (lpj=2913789)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268)
Total of 2 processors activated (11654.11 BogoMIPS).

Total time: 1 hour 28min.

19785613531544580619311927012147433451999727833571561054445795007717409175636914003979331<89>

13851474345297948427966547859098690527<38>
1428412098114382168333023651401971757271775700788253<52>

Thu May 13 21:21:11 2010  
Thu May 13 21:21:11 2010  
Thu May 13 21:21:11 2010  Msieve v. 1.42
Thu May 13 21:21:11 2010  random seeds: fe18d8b0 ba4db40c
Thu May 13 21:21:11 2010  factoring 19785613531544580619311927012147433451999727833571561054445795007717409175636914003979331 (89 digits)
Thu May 13 21:21:12 2010  searching for 15-digit factors
Thu May 13 21:21:13 2010  commencing quadratic sieve (89-digit input)
Thu May 13 21:21:13 2010  using multiplier of 11
Thu May 13 21:21:13 2010  using 32kb Intel Core sieve core
Thu May 13 21:21:13 2010  sieve interval: 30 blocks of size 32768
Thu May 13 21:21:13 2010  processing polynomials in batches of 7
Thu May 13 21:21:13 2010  using a sieve bound of 1538057 (58667 primes)
Thu May 13 21:21:13 2010  using large prime bound of 123044560 (26 bits)
Thu May 13 21:21:13 2010  using double large prime bound of 364848284064320 (42-49 bits)
Thu May 13 21:21:13 2010  using trial factoring cutoff of 49 bits
Thu May 13 21:21:13 2010  polynomial 'A' values have 11 factors
Thu May 13 22:34:07 2010  59015 relations (16226 full + 42789 combined from 617646 partial), need 58763
Thu May 13 22:34:08 2010  begin with 633872 relations
Thu May 13 22:34:08 2010  reduce to 141933 relations in 9 passes
Thu May 13 22:34:08 2010  attempting to read 141933 relations
Thu May 13 22:34:11 2010  recovered 141933 relations
Thu May 13 22:34:11 2010  recovered 119675 polynomials
Thu May 13 22:34:11 2010  attempting to build 59015 cycles
Thu May 13 22:34:11 2010  found 59015 cycles in 5 passes
Thu May 13 22:34:11 2010  distribution of cycle lengths:
Thu May 13 22:34:11 2010     length 1 : 16226
Thu May 13 22:34:11 2010     length 2 : 11623
Thu May 13 22:34:11 2010     length 3 : 10331
Thu May 13 22:34:11 2010     length 4 : 7761
Thu May 13 22:34:11 2010     length 5 : 5335
Thu May 13 22:34:11 2010     length 6 : 3417
Thu May 13 22:34:11 2010     length 7 : 2007
Thu May 13 22:34:11 2010     length 9+: 2315
Thu May 13 22:34:11 2010  largest cycle: 18 relations
Thu May 13 22:34:11 2010  matrix is 58667 x 59015 (14.3 MB) with weight 3508370 (59.45/col)
Thu May 13 22:34:11 2010  sparse part has weight 3508370 (59.45/col)
Thu May 13 22:34:12 2010  filtering completed in 3 passes
Thu May 13 22:34:12 2010  matrix is 54422 x 54485 (13.3 MB) with weight 3263203 (59.89/col)
Thu May 13 22:34:12 2010  sparse part has weight 3263203 (59.89/col)
Thu May 13 22:34:12 2010  saving the first 48 matrix rows for later
Thu May 13 22:34:12 2010  matrix is 54374 x 54485 (9.7 MB) with weight 2689092 (49.35/col)
Thu May 13 22:34:12 2010  sparse part has weight 2204490 (40.46/col)
Thu May 13 22:34:12 2010  matrix includes 64 packed rows
Thu May 13 22:34:12 2010  using block size 21794 for processor cache size 4096 kB
Thu May 13 22:34:13 2010  commencing Lanczos iteration
Thu May 13 22:34:13 2010  memory use: 9.2 MB
Thu May 13 22:34:41 2010  lanczos halted after 862 iterations (dim = 54370)
Thu May 13 22:34:41 2010  recovered 16 nontrivial dependencies
Thu May 13 22:34:41 2010  prp38 factor: 13851474345297948427966547859098690527
Thu May 13 22:34:41 2010  prp52 factor: 1428412098114382168333023651401971757271775700788253
Thu May 13 22:34:41 2010  elapsed time 01:13:30

50109172086337000093480973451585175485339362310503106416758964280541602136344190345796295067<92>

678872655006934731371092465064213537932957<42>
73812329480004068534271093977894591064551251726231<50>

Thu May 13 18:59:47 2010  Msieve v. 1.42
Thu May 13 18:59:47 2010  random seeds: 75527110 7dba403e
Thu May 13 18:59:47 2010  factoring 50109172086337000093480973451585175485339362310503106416758964280541602136344190345796295067 (92 digits)
Thu May 13 18:59:48 2010  searching for 15-digit factors
Thu May 13 18:59:48 2010  commencing quadratic sieve (92-digit input)
Thu May 13 18:59:49 2010  using multiplier of 43
Thu May 13 18:59:49 2010  using 32kb Intel Core sieve core
Thu May 13 18:59:49 2010  sieve interval: 36 blocks of size 32768
Thu May 13 18:59:49 2010  processing polynomials in batches of 6
Thu May 13 18:59:49 2010  using a sieve bound of 1821709 (68030 primes)
Thu May 13 18:59:49 2010  using large prime bound of 198566281 (27 bits)
Thu May 13 18:59:49 2010  using double large prime bound of 863435489420069 (42-50 bits)
Thu May 13 18:59:49 2010  using trial factoring cutoff of 50 bits
Thu May 13 18:59:49 2010  polynomial 'A' values have 12 factors
Thu May 13 21:16:23 2010  68361 relations (18163 full + 50198 combined from 849808 partial), need 68126
Thu May 13 21:16:37 2010  begin with 867971 relations
Thu May 13 21:16:38 2010  reduce to 169514 relations in 10 passes
Thu May 13 21:16:38 2010  attempting to read 169514 relations
Thu May 13 21:16:41 2010  recovered 169514 relations
Thu May 13 21:16:41 2010  recovered 148527 polynomials
Thu May 13 21:16:41 2010  attempting to build 68361 cycles
Thu May 13 21:16:41 2010  found 68361 cycles in 5 passes
Thu May 13 21:16:41 2010  distribution of cycle lengths:
Thu May 13 21:16:41 2010     length 1 : 18163
Thu May 13 21:16:41 2010     length 2 : 12814
Thu May 13 21:16:41 2010     length 3 : 11862
Thu May 13 21:16:41 2010     length 4 : 9168
Thu May 13 21:16:41 2010     length 5 : 6513
Thu May 13 21:16:41 2010     length 6 : 4148
Thu May 13 21:16:41 2010     length 7 : 2564
Thu May 13 21:16:41 2010     length 9+: 3129
Thu May 13 21:16:41 2010  largest cycle: 20 relations
Thu May 13 21:16:42 2010  matrix is 68030 x 68361 (16.8 MB) with weight 4123220 (60.32/col)
Thu May 13 21:16:42 2010  sparse part has weight 4123220 (60.32/col)
Thu May 13 21:16:43 2010  filtering completed in 4 passes
Thu May 13 21:16:43 2010  matrix is 63837 x 63901 (15.7 MB) with weight 3871505 (60.59/col)
Thu May 13 21:16:43 2010  sparse part has weight 3871505 (60.59/col)
Thu May 13 21:16:43 2010  saving the first 48 matrix rows for later
Thu May 13 21:16:44 2010  matrix is 63789 x 63901 (9.2 MB) with weight 2952194 (46.20/col)
Thu May 13 21:16:44 2010  sparse part has weight 2034249 (31.83/col)
Thu May 13 21:16:44 2010  matrix includes 64 packed rows
Thu May 13 21:16:44 2010  using block size 25560 for processor cache size 4096 kB
Thu May 13 21:16:44 2010  commencing Lanczos iteration
Thu May 13 21:16:44 2010  memory use: 9.9 MB
Thu May 13 21:17:15 2010  lanczos halted after 1010 iterations (dim = 63787)
Thu May 13 21:17:15 2010  recovered 17 nontrivial dependencies
Thu May 13 21:17:16 2010  prp42 factor: 678872655006934731371092465064213537932957
Thu May 13 21:17:16 2010  prp50 factor: 73812329480004068534271093977894591064551251726231
Thu May 13 21:17:16 2010  elapsed time 02:17:29

msieve v1.42

58167042979060573881720864872993680363586579870088874985546908528068790331218748514789680031608822379840721611822948033421931670749<131>

9571238758963005777842477784098237<34>
366207766088024766364518287317921770873421<42>
16595153970537681319967298699241868478101132459234448037<56>

Number: 91113_135
N=58167042979060573881720864872993680363586579870088874985546908528068790331218748514789680031608822379840721611822948033421931670749
  ( 131 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=9571238758963005777842477784098237 (pp34)
 r2=366207766088024766364518287317921770873421 (pp42)
 r3=16595153970537681319967298699241868478101132459234448037 (pp56)
Version: Msieve-1.40
Total time: 3.91 hours.
Scaled time: 8.98 units (timescale=2.298).
Factorization parameters were as follows:
name: 91113_135
n: 58167042979060573881720864872993680363586579870088874985546908528068790331218748514789680031608822379840721611822948033421931670749
m: 1000000000000000000000000000
deg: 5
c5: 82
c0: 17
skew: 0.73
type: snfs
lss: 1
rlim: 1340000
alim: 1340000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1340000/1340000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [670000, 1195001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 194301 x 194549
Total sieving time: 3.73 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,136.000,5,0,0,0,0,0,0,0,0,1340000,1340000,26,26,48,48,2.3,2.3,75000
total time: 3.91 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

4012282221221380661457898941031523093966965112474981658391842950320320300849811390217<85>

8412882645880788054977964332976917627<37>
476921215962274266488684832187575455572509988171<48>

Thu May 13 23:15:24 2010  54835 relations (16131 full + 38704 combined from 570058 partial), need 54802
Thu May 13 23:15:25 2010  begin with 586189 relations
Thu May 13 23:15:25 2010  reduce to 128439 relations in 10 passes
Thu May 13 23:15:25 2010  attempting to read 128439 relations
Thu May 13 23:15:27 2010  recovered 128439 relations
Thu May 13 23:15:27 2010  recovered 108034 polynomials
Thu May 13 23:15:27 2010  attempting to build 54835 cycles
Thu May 13 23:15:27 2010  found 54835 cycles in 5 passes
Thu May 13 23:15:27 2010  distribution of cycle lengths:
Thu May 13 23:15:27 2010     length 1 : 16131
Thu May 13 23:15:27 2010     length 2 : 11200
Thu May 13 23:15:27 2010     length 3 : 9616
Thu May 13 23:15:27 2010     length 4 : 6967
Thu May 13 23:15:27 2010     length 5 : 4823
Thu May 13 23:15:27 2010     length 6 : 2756
Thu May 13 23:15:27 2010     length 7 : 1532
Thu May 13 23:15:27 2010     length 9+: 1810
Thu May 13 23:15:27 2010  largest cycle: 16 relations
Thu May 13 23:15:28 2010  matrix is 54706 x 54835 (11.9 MB) with weight 2887459 (52.66/col)
Thu May 13 23:15:28 2010  sparse part has weight 2887459 (52.66/col)
Thu May 13 23:15:28 2010  filtering completed in 3 passes
Thu May 13 23:15:28 2010  matrix is 49396 x 49460 (10.8 MB) with weight 2639711 (53.37/col)
Thu May 13 23:15:28 2010  sparse part has weight 2639711 (53.37/col)
Thu May 13 23:15:29 2010  saving the first 48 matrix rows for later
Thu May 13 23:15:29 2010  matrix is 49348 x 49460 (6.4 MB) with weight 1989312 (40.22/col)
Thu May 13 23:15:29 2010  sparse part has weight 1376202 (27.82/col)
Thu May 13 23:15:29 2010  matrix includes 64 packed rows
Thu May 13 23:15:29 2010  using block size 19784 for processor cache size 4096 kB
Thu May 13 23:15:29 2010  commencing Lanczos iteration
Thu May 13 23:15:29 2010  memory use: 7.0 MB
Thu May 13 23:15:46 2010  lanczos halted after 782 iterations (dim = 49348)
Thu May 13 23:15:47 2010  recovered 18 nontrivial dependencies
Thu May 13 23:15:48 2010  prp37 factor: 8412882645880788054977964332976917627
Thu May 13 23:15:48 2010  prp48 factor: 476921215962274266488684832187575455572509988171
Thu May 13 23:15:48 2010  elapsed time 00:38:11

482210379253554199947604357914620269566479665913847506127857460058577750033832870860269861746399583558558928613593<114>

199862846639939827167818799337409409461<39>
2412706450250224352192974274100177094126389165676456201115465233936130574613<76>

Number: 91113_137
N=482210379253554199947604357914620269566479665913847506127857460058577750033832870860269861746399583558558928613593
  ( 114 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=199862846639939827167818799337409409461 (pp39)
 r2=2412706450250224352192974274100177094126389165676456201115465233936130574613 (pp76)
Version: Msieve-1.40
Total time: 3.94 hours.
Scaled time: 8.99 units (timescale=2.282).
Factorization parameters were as follows:
name: 91113_137
n: 482210379253554199947604357914620269566479665913847506127857460058577750033832870860269861746399583558558928613593
m: 1000000000000000000000000000
deg: 5
c5: 8200
c0: 17
skew: 0.29
type: snfs
lss: 1
rlim: 1450000
alim: 1450000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1450000/1450000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [725000, 1400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 211068 x 211293
Total sieving time: 3.81 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,138.000,5,0,0,0,0,0,0,0,0,1450000,1450000,26,26,48,48,2.3,2.3,75000
total time: 3.94 hours.
 --------- CPU info (if available) ----------

Core i7 860 2.80GHz,Windows7 64bit,and Cygwin )

427525936748983479378296690489619333691248820241237361037111804353626595220430095765608141191324754204564481<108>

3006303738977139474742075486477423334361743423<46>
142209827705048957708285994132706544196741298880983168097293247<63>

Number: 91113_139
N=427525936748983479378296690489619333691248820241237361037111804353626595220430095765608141191324754204564481
  ( 108 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=3006303738977139474742075486477423334361743423 (pp46)
 r2=142209827705048957708285994132706544196741298880983168097293247 (pp63)
Version: Msieve-1.40
Total time: 4.81 hours.
Scaled time: 14.91 units (timescale=3.097).
Factorization parameters were as follows:
name: 91113_139
n: 427525936748983479378296690489619333691248820241237361037111804353626595220430095765608141191324754204564481
m: 2000000000000000000000000000
deg: 5
c5: 25625
c0: 17
skew: 0.23
type: snfs
lss: 1
rlim: 1560000
alim: 1560000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1560000/1560000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [780000, 1480001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 237870 x 238118
Total sieving time: 4.61 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,140.000,5,0,0,0,0,0,0,0,0,1560000,1560000,26,26,48,48,2.3,2.3,100000
total time: 4.81 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

5392276737316141911231526225767124575695557985596354051399779412596019401148516540660264620424847684923149736327542043841538617299<130>

1643415614721980989889047408102066703821780909383940493659<58>
3281140016567483576376419301018230958306396270565189042168036578985929961<73>

N=5392276737316141911231526225767124575695557985596354051399779412596019401148516540660264620424847684923149736327542043841538617299
  ( 130 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=1643415614721980989889047408102066703821780909383940493659 (pp58)
 r2=3281140016567483576376419301018230958306396270565189042168036578985929961 (pp73)
Version: Msieve-1.40
Total time: 5.99 hours.
Scaled time: 9.73 units (timescale=1.624).
Factorization parameters were as follows:
n: 5392276737316141911231526225767124575695557985596354051399779412596019401148516540660264620424847684923149736327542043841538617299
m: 10000000000000000000000000000
deg: 5
c5: 8200
c0: 17
skew: 0.29
type: snfs
lss: 1
rlim: 1750000
alim: 1750000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1750000/1750000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [875000, 1875001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 270877 x 271102
Total sieving time: 5.72 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,143.000,5,0,0,0,0,0,0,0,0,1750000,1750000,26,26,48,48,2.3,2.3,100000
total time: 5.99 hours.
 --------- CPU info (if available) ----------

7519069589743622061919226330730144968120882587758115000891183843563771932409056759341332493707587369477531848687004273667634104504167<133>

60477611546267139593984548311917649399293<41>
124328150492373763266537910033953469857753257997005321809074513205516640546993081812904263219<93>

Number: new02
N=7519069589743622061919226330730144968120882587758115000891183843563771932409056759341332493707587369477531848687004273667634104504167
  ( 133 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=60477611546267139593984548311917649399293 (pp41)
 r2=124328150492373763266537910033953469857753257997005321809074513205516640546993081812904263219 (pp93)
Version: Msieve-1.40
Total time: 6.65 hours.
Scaled time: 12.90 units (timescale=1.939).
Factorization parameters were as follows:
n: 7519069589743622061919226330730144968120882587758115000891183843563771932409056759341332493707587369477531848687004273667634104504167
m: 20000000000000000000000000000
deg: 5
c5: 25625
c0: 17
skew: 0.23
type: snfs
lss: 1
rlim: 1890000
alim: 1890000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1890000/1890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [945000, 2145001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 252404 x 252629
Total sieving time: 6.52 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,145.000,5,0,0,0,0,0,0,0,0,1890000,1890000,26,26,49,49,2.3,2.3,100000
total time: 6.65 hours.
 --------- CPU info (if available) ----------

19159314729098148369957498596677144387354030045485608127845457772814695719048116943445593993879400434404492988674339615793489938562317<134>

667989828853344204506672357080471<33>
28682045596392660917704421161040408101158766847080665628033677076798197769739953757739806424254117627<101>

Number: new03
N=19159314729098148369957498596677144387354030045485608127845457772814695719048116943445593993879400434404492988674339615793489938562317
  ( 134 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=667989828853344204506672357080471 (pp33)
 r2=28682045596392660917704421161040408101158766847080665628033677076798197769739953757739806424254117627 (pp101)
Version: Msieve-1.40
Total time: 6.77 hours.
Scaled time: 13.25 units (timescale=1.957).
Factorization parameters were as follows:
n: 19159314729098148369957498596677144387354030045485608127845457772814695719048116943445593993879400434404492988674339615793489938562317
m: 100000000000000000000000000000
deg: 5
c5: 82
c0: 17
skew: 0.73
type: snfs
lss: 1
rlim: 1970000
alim: 1970000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1970000/1970000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [985000, 2185001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 287693 x 287922
Total sieving time: 6.58 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1970000,1970000,26,26,49,49,2.3,2.3,100000
total time: 6.77 hours.
 --------- CPU info (if available) ----------

189835589746224811253316461337749911096508929817658631498884757862058502107282217207466987727670712890560813813453501307<120>

8012639032597147151431612574824237100276076643<46>
23692018194496545751395694744589299325361549056241457373244230081278320649<74>

Number: new04
N=189835589746224811253316461337749911096508929817658631498884757862058502107282217207466987727670712890560813813453501307
  ( 120 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=8012639032597147151431612574824237100276076643 (pp46)
 r2=23692018194496545751395694744589299325361549056241457373244230081278320649 (pp74)
Version: Msieve-1.40
Total time: 8.84 hours.
Scaled time: 16.99 units (timescale=1.922).
Factorization parameters were as follows:
n: 189835589746224811253316461337749911096508929817658631498884757862058502107282217207466987727670712890560813813453501307
m: 100000000000000000000000000000
deg: 5
c5: 82000
c0: 17
skew: 0.18
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 2600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 391204 x 391452
Total sieving time: 8.35 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,149.000,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 8.84 hours.
 --------- CPU info (if available) ----------

14371086350795332582457719679899734161765544124191072964394073431799750733576200860616310065979433345651442013133<113>

595997484524953352831441557984554258055948420571797879<54>
24112662761068483672224653521170249027843207691407415217627<59>

Number: 91113_150
N=14371086350795332582457719679899734161765544124191072964394073431799750733576200860616310065979433345651442013133
  ( 113 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=595997484524953352831441557984554258055948420571797879 (pp54)
 r2=24112662761068483672224653521170249027843207691407415217627 (pp59)
Version: Msieve-1.40
Total time: 17.56 hours.
Scaled time: 35.30 units (timescale=2.010).
Factorization parameters were as follows:
name: 91113_150
n: 14371086350795332582457719679899734161765544124191072964394073431799750733576200860616310065979433345651442013133
m: 1000000000000000000000000000000
deg: 5
c5: 82
c0: 17
skew: 0.73
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1200000, 1900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 351108 x 351356
Total sieving time: 17.12 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.30 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,151.000,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 17.56 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

7126730036998534806103602759668450259394619516310643103399051548431310381955630348859752008272025267609259493026269<115>

1317440837139140481848018821345906902819016322135069<52>
5409525677429604982539961367345690706285464101353826892674244801<64>

Number: 91113_153
N=7126730036998534806103602759668450259394619516310643103399051548431310381955630348859752008272025267609259493026269
  ( 115 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=1317440837139140481848018821345906902819016322135069 (pp52)
 r2=5409525677429604982539961367345690706285464101353826892674244801 (pp64)
Version: Msieve-1.40
Total time: 22.69 hours.
Scaled time: 48.49 units (timescale=2.137).
Factorization parameters were as follows:
name: 91113_153
n: 7126730036998534806103602759668450259394619516310643103399051548431310381955630348859752008272025267609259493026269
m: 1000000000000000000000000000000
deg: 5
c5: 82000
c0: 17
skew: 0.18
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1350000, 2250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 484053 x 484301
Total sieving time: 21.89 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.54 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,154.000,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 22.69 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

2238693146054458135299246235381265013183900272857220647927296494124246420024100154595701647360934987<100>

1503149413437890627878637883913466063117897497337<49>
1489335076101508123133916234308925076451704526628451<52>

N=2238693146054458135299246235381265013183900272857220647927296494124246420024100154595701647360934987
  ( 100 digits)
Divisors found:
 r1=1503149413437890627878637883913466063117897497337 (pp49)
 r2=1489335076101508123133916234308925076451704526628451 (pp52)
Version: Msieve-1.40
Total time: 3.81 hours.
Scaled time: 7.47 units (timescale=1.963).
Factorization parameters were as follows:
n: 2238693146054458135299246235381265013183900272857220647927296494124246420024100154595701647360934987
skew: 3098.93
# norm 1.22e+014
c5: 711360
c4: 3052500456
c3: -1084858456826
c2: -20326899135326431
c1: -49944119662762197522
c0: 79949095728716441757600
# alpha -6.56
Y1: 85695938999
Y0: -5006966051669102701
# Murphy_E 3.57e-009
# M 80524662593747366832244664013376931342578896342345947475324952988172595874667682544141234391974074
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 196001 x 196227
Polynomial selection time: 0.38 hours.
Total sieving time: 3.22 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,99,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 3.81 hours.
 --------- CPU info (if available) ----------

1024871891013623297087864016997875265591801024871891013623297087864016997875265591801024871891013623297087864016997875265591801024871891013623297087864017<154>

189924217083785170386395441671633<33>
28023167497463259693983687678543859056531655146781509572163<59>
192562632518525944164639667090589607680083178278459304664374123<63>

Number: new01
N=1024871891013623297087864016997875265591801024871891013623297087864016997875265591801024871891013623297087864016997875265591801024871891013623297087864017
  ( 154 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=189924217083785170386395441671633 (pp33)
 r2=28023167497463259693983687678543859056531655146781509572163 (pp59)
 r3=192562632518525944164639667090589607680083178278459304664374123 (pp63)
Version: Msieve-1.40
Total time: 15.81 hours.
Scaled time: 30.85 units (timescale=1.951).
Factorization parameters were as follows:
n: 1024871891013623297087864016997875265591801024871891013623297087864016997875265591801024871891013623297087864016997875265591801024871891013623297087864017
m: 10000000000000000000000000000000
deg: 5
c5: 82
c0: 17
skew: 0.73
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 489439 x 489668
Total sieving time: 15.30 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.30 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 15.81 hours.
 --------- CPU info (if available) ----------

969102464940383091777299369685977523227329857683999444267728920854359112197849998660696059094933746464851453067422136142679316877827289287511<141>

41600210178306061275446198639579374901036324325370638935579<59>
23295614632393293247428312319909968323757789369419395622262557800442249391667278709<83>

Number: 91113_156
N=969102464940383091777299369685977523227329857683999444267728920854359112197849998660696059094933746464851453067422136142679316877827289287511
  ( 141 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=41600210178306061275446198639579374901036324325370638935579 (pp59)
 r2=23295614632393293247428312319909968323757789369419395622262557800442249391667278709 (pp83)
Version: Msieve-1.40
Total time: 25.36 hours.
Scaled time: 57.86 units (timescale=2.282).
Factorization parameters were as follows:
name: 91113_156
n: 969102464940383091777299369685977523227329857683999444267728920854359112197849998660696059094933746464851453067422136142679316877827289287511
m: 10000000000000000000000000000000
deg: 5
c5: 820
c0: 17
skew: 0.46
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 510553 x 510801
Total sieving time: 24.55 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.58 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,157.000,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 25.36 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

586134854153590365798674175091934999536898608540452273998141625536739410500744003792397715915919596134472457914215520495845743303<129>

157887785438581266094150218679909548753622838312171<51>
3712350847948261676606796544239106955252294987265315645210068419442525882233493<79>

Number: 91113_158
N=586134854153590365798674175091934999536898608540452273998141625536739410500744003792397715915919596134472457914215520495845743303
  ( 129 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=157887785438581266094150218679909548753622838312171 (pp51)
 r2=3712350847948261676606796544239106955252294987265315645210068419442525882233493 (pp79)
Version: Msieve v. 1.42
Total time: 1.30 hours.
Scaled time: 1.11 units (timescale=0.854).
Factorization parameters were as follows:
name: 91113_158
n: 586134854153590365798674175091934999536898608540452273998141625536739410500744003792397715915919596134472457914215520495845743303
m: 10000000000000000000000000000000
deg: 5
c5: 82000
c0: 17
skew: 0.18
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1600000, 2900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 591579 x 591806
Total sieving time: 0.00 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 1.14 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,159.000,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 1.30 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5827.57 BogoMIPS (lpj=2913789)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268)
Total of 2 processors activated (11654.11 BogoMIPS).

Total time: 14 hours 27 min.

235817500135722488423399933746049306631272607958613788197681539793031651500266610317337072822503495641<102>

5982219685123533904676826898890231845328523<43>
39419732565513901707918593490168490515781075356267077860267<59>

Number: new12
N=235817500135722488423399933746049306631272607958613788197681539793031651500266610317337072822503495641
  ( 102 digits)
Divisors found:
 r1=5982219685123533904676826898890231845328523 (pp43)
 r2=39419732565513901707918593490168490515781075356267077860267 (pp59)
Version: Msieve-1.40
Total time: 5.24 hours.
Scaled time: 10.19 units (timescale=1.946).
Factorization parameters were as follows:
name: new12
n: 235817500135722488423399933746049306631272607958613788197681539793031651500266610317337072822503495641
skew: 10412.33
# norm 1.38e+014
c5: 24360
c4: -846135794
c3: -4598139349245
c2: 36986234518750852
c1: 451604797837399729968
c0: 999293076820971707151808
# alpha -6.17
Y1: 50604080857
Y0: -24956625800866158045
# Murphy_E 2.87e-009
# M 175566211767128473621372286680677220142082536682383024454817787930316683084267043525610998047239435068
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 206997 x 207222
Polynomial selection time: 0.50 hours.
Total sieving time: 4.52 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,101,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 5.24 hours.
 --------- CPU info (if available) ----------

2842566792534043256862184457675332940856336509945042161934072314425447354819882519757261907379396390802450893287855042669<121>

18919684898368891611437460199390441397010007855394594651191<59>
150243876037232908852338519426547848774836078011843258733006459<63>

Number: 91113_160
N=2842566792534043256862184457675332940856336509945042161934072314425447354819882519757261907379396390802450893287855042669
  ( 121 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=18919684898368891611437460199390441397010007855394594651191 (pp59)
 r2=150243876037232908852338519426547848774836078011843258733006459 (pp63)
Version: Msieve-1.40
Total time: 25.41 hours.
Scaled time: 54.58 units (timescale=2.148).
Factorization parameters were as follows:
name: 91113_160
n: 2842566792534043256862184457675332940856336509945042161934072314425447354819882519757261907379396390802450893287855042669
m: 100000000000000000000000000000000
deg: 5
c5: 82
c0: 17
skew: 0.73
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1750000, 3050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 603532 x 603762
Total sieving time: 24.65 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.66 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 25.41 hours.
 --------- CPU info (if available) ----------

Core i7 860 2.80GHz,Windows 7 64bit,and Cygwin )

2200745913432720777862276756580530639547141912015252022201848184095572285848223976022434848389006073126448990734886223094066014877312262531<139>

9257443088286638225329460627983338595975840038742676874183383759<64>
237727187998304341137298682638199581597194107226622732466862481563931159309<75>

Number: new05
N=2200745913432720777862276756580530639547141912015252022201848184095572285848223976022434848389006073126448990734886223094066014877312262531
  ( 139 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=9257443088286638225329460627983338595975840038742676874183383759 (pp64)
 r2=237727187998304341137298682638199581597194107226622732466862481563931159309 (pp75)
Version: Msieve-1.40
Total time: 25.75 hours.
Scaled time: 47.77 units (timescale=1.855).
Factorization parameters were as follows:
n: 2200745913432720777862276756580530639547141912015252022201848184095572285848223976022434848389006073126448990734886223094066014877312262531
m: 100000000000000000000000000000000
deg: 5
c5: 820
c0: 17
skew: 0.46
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1800000, 3200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 639783 x 640011
Total sieving time: 25.08 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.52 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,162.000,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 25.75 hours.
 --------- CPU info (if available) ----------

1450459363914779682726183716545085542825905136591508314454423560469970769806759080576212089952687738942463621102941253167268858223316993077768634278290329<154>

694078749804452970735696527503481581<36>
1101561808809300609075348038384371453<37>
1897090055735674223343390929365642482219177248438234622540531973363374715842118753<82>

Number: new06
N=1450459363914779682726183716545085542825905136591508314454423560469970769806759080576212089952687738942463621102941253167268858223316993077768634278290329
  ( 154 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=694078749804452970735696527503481581 (pp36)
 r2=1101561808809300609075348038384371453 (pp37)
 r3=1897090055735674223343390929365642482219177248438234622540531973363374715842118753 (pp82)
Version: Msieve-1.40
Total time: 28.42 hours.
Scaled time: 53.35 units (timescale=1.877).
Factorization parameters were as follows:
n: 1450459363914779682726183716545085542825905136591508314454423560469970769806759080576212089952687738942463621102941253167268858223316993077768634278290329
m: 100000000000000000000000000000000
deg: 5
c5: 8200
c0: 17
skew: 0.29
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 3500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 746770 x 746996
Total sieving time: 27.44 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.69 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,163.000,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 28.42 hours.
 --------- CPU info (if available) ----------

13531904459935834679469036452986838688196718773905161251536799411844023810145004092658494617544731319168762832927962031984438441889653887053583090703811018307<158>

6681171730045672334224952186417385254927720854566939910823640331<64>
2025378931525133974662292355974365656861510794958193029534486446439419774407118034802838640297<94>

Number: 91113_163
N=13531904459935834679469036452986838688196718773905161251536799411844023810145004092658494617544731319168762832927962031984438441889653887053583090703811018307
  ( 158 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=6681171730045672334224952186417385254927720854566939910823640331 (pp64)
 r2=2025378931525133974662292355974365656861510794958193029534486446439419774407118034802838640297 (pp94)
Version: Msieve-1.40
Total time: 46.26 hours.
Scaled time: 149.79 units (timescale=3.238).
Factorization parameters were as follows:
name: 91113_163
n: 13531904459935834679469036452986838688196718773905161251536799411844023810145004092658494617544731319168762832927962031984438441889653887053583090703811018307
m: 100000000000000000000000000000000
deg: 5
c5: 82000
c0: 17
skew: 0.18
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1950000, 3950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 697637 x 697885
Total sieving time: 45.02 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.97 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,164.000,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 46.26 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

1069087203319328596672728388114739325633584223752573449009403929483218194757109484050981847949290461152113191226118040240520868867743145898253421904760873<154>

5453205988940313609274070047354422179694555705374638950667<58>
196047463728227406630914075521110560757210801813122141681127626530760455332023234209007494894619<96>

Number: 91113_164
N=1069087203319328596672728388114739325633584223752573449009403929483218194757109484050981847949290461152113191226118040240520868867743145898253421904760873
  ( 154 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=5453205988940313609274070047354422179694555705374638950667 (pp58)
 r2=196047463728227406630914075521110560757210801813122141681127626530760455332023234209007494894619 (pp96)
Version: Msieve-1.40
Total time: 43.54 hours.
Scaled time: 135.49 units (timescale=3.112).
Factorization parameters were as follows:
name: 91113_164
n: 1069087203319328596672728388114739325633584223752573449009403929483218194757109484050981847949290461152113191226118040240520868867743145898253421904760873
m: 200000000000000000000000000000000
deg: 5
c5: 25625
c0: 17
skew: 0.23
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2050000, 3850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 687343 x 687590
Total sieving time: 42.18 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.96 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 43.54 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

5582024561142512767472812509392087904050554763480102316149312618224951913357984782406891694608963071129378517953749086860107187141457459<136>

915840727120322106729336925547<30>
6094973062285701090207182788883144661565207511674279795052649393504619085642307020529609921720107865310297<106>

Fri May 21 00:06:46 2010  prp30 factor: 915840727120322106729336925547
Fri May 21 00:06:46 2010  prp106 factor: 6094973062285701090207182788883144661565207511674279795052649393504619085642307020529609921720107865310297

8382862216250736862563773885977275555106653848833632278243977471941144213747407124958791974070237885426566795452803924434457852192442400557<139>

4858273133930158602429763811176514329<37>

1725481870853423888189791265548285807678612909702357091775019090850446323151936066968148563283627201333<103>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=354672199
Step 1 took 4992ms
Step 2 took 2633ms
********** Factor found in step 2: 4858273133930158602429763811176514329
Found probable prime factor of 37 digits: 4858273133930158602429763811176514329
Composite cofactor has 103 digits

1725481870853423888189791265548285807678612909702357091775019090850446323151936066968148563283627201333<103>

504742353348023804017813144417421456871512645653<48>
3418539893488372730772838500428811339296289133697830561<55>

Number: new13
N=1725481870853423888189791265548285807678612909702357091775019090850446323151936066968148563283627201333
  ( 103 digits)
Divisors found:
 r1=504742353348023804017813144417421456871512645653 (pp48)
 r2=3418539893488372730772838500428811339296289133697830561 (pp55)
Version: Msieve-1.40
Total time: 6.07 hours.
Scaled time: 11.28 units (timescale=1.860).
Factorization parameters were as follows:
name: new13
n: 1725481870853423888189791265548285807678612909702357091775019090850446323151936066968148563283627201333
skew: 4607.34
# norm 1.07e+014
c5: 75600
c4: 3720478704
c3: -2491371751871
c2: -75744265931664106
c1: 40663810221935016184
c0: 107011609308218830588320
# alpha -6.02
Y1: 116621884483
Y0: -29625173028059534443
# Murphy_E 2.65e-009
# M 1136911264888065093869747367793786726182059218130955322838623856287308103568680179816495027383892317150
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 246293 x 246524
Polynomial selection time: 0.57 hours.
Total sieving time: 5.23 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 6.07 hours.
 --------- CPU info (if available) ----------

1843286820858205156020279962995455298077897048700323023521010902865736871791960030252351561870616936639118867269359204092675103269949943627792852760333<151>

104286494254734496808941076756928990914570092464413<51>
17675220881006093261801519683112800571816387853884700916897589658355527775976282924182829587695153841<101>

Number: 91113_167
N=1843286820858205156020279962995455298077897048700323023521010902865736871791960030252351561870616936639118867269359204092675103269949943627792852760333
  ( 151 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=104286494254734496808941076756928990914570092464413 (pp51)
 r2=17675220881006093261801519683112800571816387853884700916897589658355527775976282924182829587695153841 (pp101)
Version: Msieve v. 1.42
Total time: 1.92 hours.
Scaled time: 1.96 units (timescale=1.024).
Factorization parameters were as follows:
name: 91113_167
n: 1843286820858205156020279962995455298077897048700323023521010902865736871791960030252351561870616936639118867269359204092675103269949943627792852760333
m: 1000000000000000000000000000000000
deg: 5
c5: 8200
c0: 17
skew: 0.29
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2300000, 4700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 858688 x 858914
Total sieving time: 0.00 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.70 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,168.000,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 1.92 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU1: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU2: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU3: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
Memory: 3057976k/3145344k available (3786k kernel code, 496k absent, 86872k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4788.19 BogoMIPS (lpj=2394097)
Calibrating delay using timer specific routine.. 4787.76 BogoMIPS (lpj=2393881)
Calibrating delay using timer specific routine.. 4787.77 BogoMIPS (lpj=2393888)
Calibrating delay using timer specific routine.. 4787.77 BogoMIPS (lpj=2393889)
Total of 4 processors activated (19151.51 BogoMIPS).

Total time: 32 hours.

59272376134795179789116011703033010811965086828788122349848216676712513647302712962904924551420811357874374458526543534101453140831794314258964664123<149>

25413506161017873264712462919617928489<38>
2332317932018128730384729363991908352511826873469049648431936477642506085422964990651659948080109844437568762307<112>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3316400038
Step 1 took 21216ms
Step 2 took 16380ms
********** Factor found in step 2: 25413506161017873264712462919617928489
Found probable prime factor of 38 digits: 25413506161017873264712462919617928489
Probable prime cofactor 2332317932018128730384729363991908352511826873469049648431936477642506085422964990651659948080109844437568762307 has 112 digits

GMP-ECM 6.2.3

22728329879100601468116101594196023734229535704684217778820702744006044081677650833022312172979510695409841207560560794882869<125>

50918920975053459374181212509893980989478718898829<50>
446363148391063076205447019854164186142713925794503145959795168000553106761<75>

Number: 91113_173/91113_173
N=22728329879100601468116101594196023734229535704684217778820702744006044081677650833022312172979510695409841207560560794882869
  ( 125 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=50918920975053459374181212509893980989478718898829 (pp50)
 r2=446363148391063076205447019854164186142713925794503145959795168000553106761 (pp75)
Version: Msieve v. 1.44
Total time: 91.31 hours.
Scaled time: 184.45 units (timescale=2.020).
Factorization parameters were as follows:
n: 22728329879100601468116101594196023734229535704684217778820702744006044081677650833022312172979510695409841207560560794882869
m: 10000000000000000000000000000000000
deg: 5
c5: 82000
c0: 17
skew: 0.18
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2900000, 7000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1115331 x 1115561
Total sieving time: 89.31 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.65 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,174.000,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,52,52,2.4,2.4,100000
total time: 91.31 hours.
 --------- CPU info (if available) ----------
[    0.075688] CPU0: Intel(R) Core(TM)2 Quad CPU    Q8300  @ 2.50GHz stepping 0a
[    0.000000] Memory: 3346268k/3407488k available (4679k kernel code, 59632k reserved, 2143k data, 576k init, 2498184k highmem)
[    0.004004] Calibrating delay loop (skipped), value calculated using timer frequency.. 4987.78 BogoMIPS (lpj=9975564)
[    0.348022] Total of 4 processors activated (19950.26 BogoMIPS).

307628399133290299346641211076913975278043203874850700200296062846858265234319277963223492328719193590807806526668351127233345271678706186142958819456029983186498565619<168>

19105388602221941271673523579321154842370011<44>
16101656215331488460773714322299197368334838077062656302716058249935509235907702340561570271977662149457031821252736901712329<125>

N=307628399133290299346641211076913975278043203874850700200296062846858265234319277963223492328719193590807806526668351127233345271678706186142958819456029983186498565619
  ( 168 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=19105388602221941271673523579321154842370011 (pp44)
 r2=16101656215331488460773714322299197368334838077062656302716058249935509235907702340561570271977662149457031821252736901712329 (pp125)
Version: Msieve v. 1.47
Total time:
Scaled time: 16.20 units (timescale=1.762).
Factorization parameters were as follows:
n: 307628399133290299346641211076913975278043203874850700200296062846858265234319277963223492328719193590807806526668351127233345271678706186142958819456029983186498565619
m: 100000000000000000000000000000000000
deg: 5
c5: 82
c0: 17
skew: 0.73
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3100000, 6600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1347603 x 1347831
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,176.000,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000
total time:

48558038293115665677307503964845160010306699782527157746487674497605138737750184784354622146631843382655895455882546910586846019<128>

54256640131419202741304502872009<32>
894969503741836704554030385609832529742872307818126252850279018153577478888941433315672026654891<96>

Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=703236478
Step 1 took 3132ms
Step 2 took 2012ms
********** Factor found in step 2: 54256640131419202741304502872009
Found probable prime factor of 32 digits: 54256640131419202741304502872009
Probable prime cofactor has 96 digits

GMP-ECM 6.2.3

4300500039621760416218474388532176692859210387984334874933520614589731425261025083722339984269343810788769449481896898877898247922582830740104189891601542707452056181<166>

3619397358945853160234023595567988377141102039617<49>
18447676393042060708234401403057720199607607122481985657<56>
64408178787746008196434649808512362177106510197393585471041949<62>

Number: n
N=4300500039621760416218474388532176692859210387984334874933520614589731425261025083722339984269343810788769449481896898877898247922582830740104189891601542707452056181
  ( 166 digits)
SNFS difficulty: 179 digits.
Divisors found:

Sat Feb 25 03:04:25 2012  prp49 factor: 3619397358945853160234023595567988377141102039617
Sat Feb 25 03:04:25 2012  prp56 factor: 18447676393042060708234401403057720199607607122481985657
Sat Feb 25 03:04:25 2012  prp62 factor: 64408178787746008196434649808512362177106510197393585471041949
Sat Feb 25 03:04:25 2012  elapsed time 03:02:57 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.070).
Factorization parameters were as follows:
name: KA_91113_178
n: 4300500039621760416218474388532176692859210387984334874933520614589731425261025083722339984269343810788769449481896898877898247922582830740104189891601542707452056181
m: 100000000000000000000000000000000000
#  c166, diff: 179.91
skew: 0.18
deg: 5
c5: 82000
c0: 17
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9971109 hash collisions in 79542329 relations (73979572 unique)
Msieve: matrix is 1222796 x 1223030 (337.1 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,179,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.93 BogoMIPS (lpj=2798468)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797560)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44762.71 BogoMIPS).

2112314872989340280273271720714879480844524094171118627860866456104937742095112386743214896868802320043008791609061006487125054450067838795341675946684142208250032135522000661<175>

591142271683524909650188872353477106879688489797835335309738231907573501<72>
3573276644510026393763720321446854942627652858477829989704553079718616522918705831390773229575628167161<103>

Number: 91113_179
N=2112314872989340280273271720714879480844524094171118627860866456104937742095112386743214896868802320043008791609061006487125054450067838795341675946684142208250032135522000661
  ( 175 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=591142271683524909650188872353477106879688489797835335309738231907573501
 r2=3573276644510026393763720321446854942627652858477829989704553079718616522918705831390773229575628167161
Version: 
Total time: 157.56 hours.
Scaled time: 315.91 units (timescale=2.005).
Factorization parameters were as follows:
n: 2112314872989340280273271720714879480844524094171118627860866456104937742095112386743214896868802320043008791609061006487125054450067838795341675946684142208250032135522000661
m: 200000000000000000000000000000000000
deg: 5
c5: 25625
c0: 17
skew: 0.23
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3600000, 5300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1352982 x 1353230
Total sieving time: 157.56 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,53,53,2.5,2.5,100000
total time: 157.56 hours.
 --------- CPU info (if available) ----------

121939318281096594120648253113278545333423927058710108907842496917383022708537728033178519585379342162191913722283475922712489268689959053414227230313<150>

116254978752800566370187649860907565005791781<45>
8294842735876936632698836676794302086229247964536607<52>
126451517362627926307401887758703359699221473724204139<54>

N=121939318281096594120648253113278545333423927058710108907842496917383022708537728033178519585379342162191913722283475922712489268689959053414227230313
  ( 150 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=116254978752800566370187649860907565005791781 (pp45)
 r2=8294842735876936632698836676794302086229247964536607 (pp52)
 r3=126451517362627926307401887758703359699221473724204139 (pp54)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 135.86 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 121939318281096594120648253113278545333423927058710108907842496917383022708537728033178519585379342162191913722283475922712489268689959053414227230313
m: 1000000000000000000000000000000000000
deg: 5
c5: 820
c0: 17
skew: 0.46
# Murphy_E = 8.718e-11
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3900000, 10500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1284508 x 1284733
Total sieving time: 133.66 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 1.53 hours.
Time per square root: 0.44 hours.
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000
total time: 135.86 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

7105159587556645424837951183952630223830016439011972408914355794528493823597305552169770552954088808637795703874637463973315816083760036144259<142>

802487741924200877470859804064348520899893857080640951972846354893479<69>
8853916659860661820054972488848706448078736939115129170149553481075162821<73>

7105159587556645424837951183952630223830016439011972408914355794528493823597305552169770552954088808637795703874637463973315816083760036144259=802487741924200877470859804064348520899893857080640951972846354893479*8853916659860661820054972488848706448078736939115129170149553481075162821

Info:Square Root: Factors: 802487741924200877470859804064348520899893857080640951972846354893479 8853916659860661820054972488848706448078736939115129170149553481075162821
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66462/43.730/51.084/56.160/0.933
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 66462/41.230/45.988/51.840/1.472
Info:Polynomial Selection (size optimized): Total time: 21822
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 3729.76
Info:Polynomial Selection (root optimized): Rootsieve time: 3728.24
Info:Generate Factor Base: Total cpu/real time for makefb: 40.92/10.5063
Info:Generate Free Relations: Total cpu/real time for freerel: 1488.62/259.137
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 34026747
Info:Lattice Sieving: Average J: 3790.51 for 1128964 special-q, max bucket fill -bkmult 1.0,1s:1.315140
Info:Lattice Sieving: Total time: 186328s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 205.64/253.434
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 252.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1474.08/889.399
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 741.5000000000001s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 1059.12/822.509
Info:Filtering - Merging: Total cpu/real time for merge: 2692.79/2612.54
Info:Filtering - Merging: Total cpu/real time for replay: 244.29/254.892
Info:Linear Algebra: Total cpu/real time for bwc: 315108/163292
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 109030.0, iteration CPU time 1.41, COMM 0.03, cpu-wait 0.16, comm-wait 0.0 (68000 iterations)
Info:Linear Algebra: Lingen CPU time 13003.35, WCT time 6192.71
Info:Linear Algebra: Mksol: WCT time 46460.42, iteration CPU time 1.19, COMM 0.03, cpu-wait 0.14, comm-wait 0.0 (34000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 266.17/143.673
Info:Square Root: Total cpu/real time for sqrt: 16604.9/4993.25
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 884771/366875
Info:root: Cleaning up computation data in /tmp/cado.xz8x6c57
802487741924200877470859804064348520899893857080640951972846354893479 8853916659860661820054972488848706448078736939115129170149553481075162821

cado-nfs-3.0.0

Linux Ubuntu 18.04 LTS
GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors)

4492815399273915019229362973854778624058003247226212483599102291249513357227982831502528431903635638508785183878578462703007807461564326678659179714109610241620247252793<169>

446300759396316071762871655254458396643523342069214976471190064510497339<72>
10066788605403839126942816595675078659638774241431290624185335000877292402527132385017782925973787<98>

Factors: 10066788605403839126942816595675078659638774241431290624185335000877292402527132385017782925973787
446300759396316071762871655254458396643523342069214976471190064510497339

Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 198.62/146.795
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 146.7s
Info:Filtering - Merging: Total cpu/real time for merge: 433.96/36.4532
Info:Filtering - Merging: Total cpu/real time for replay: 91.84/77.1356
Info:Quadratic Characters: Total cpu/real time for characters: 132.64/25.2449
Info:Square Root: Total cpu/real time for sqrt: 3424.92/227.817
Info:Filtering - Singleton removal: Total cpu/real time for purge: 380.81/121.395
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 55087354
Info:Lattice Sieving: Average J: 3791.22 for 521494 special-q, max bucket fill -bkmult 1.0,1s:1.242940
Info:Lattice Sieving: Total time: 248395s
Info:Generate Free Relations: Total cpu/real time for freerel: 897.56/41.438
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1039.62/262.831
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 225.4s
Info:Linear Algebra: Total cpu/real time for bwc: 78875/7679.06
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 49426.13, WCT time 5024.93, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (62000 iterations)
Info:Linear Algebra: Lingen CPU time 2563.09, WCT time 110.39
Info:Linear Algebra: Mksol: CPU time 25641.61,  WCT time 2373.32, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (31000 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 61.71/6.88699
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.44903e+06/15278.2
Info:root: Cleaning up computation data in /tmp/cado.nepoxt8f
10066788605403839126942816595675078659638774241431290624185335000877292402527132385017782925973787 446300759396316071762871655254458396643523342069214976471190064510497339

CADO-NFS

6548669602823805978938101988155279737323538707738642243948836640524454856946471482524507533614033899554274919109912756224589024927967444425026707643613594667513309182692236913187757<181>

1425041520636312839937743897564731282492848736844081912705843179323299733204792223<82>
4595423717829413743908880818394848222563884065085441043271341973594814340928775435686140845032574259<100>

Number: n
N=6548669602823805978938101988155279737323538707738642243948836640524454856946471482524507533614033899554274919109912756224589024927967444425026707643613594667513309182692236913187757
  ( 181 digits)
SNFS difficulty: 193 digits.
Divisors found:

Wed Mar  7 22:05:22 2012  prp82 factor: 1425041520636312839937743897564731282492848736844081912705843179323299733204792223
Wed Mar  7 22:05:22 2012  prp100 factor: 4595423717829413743908880818394848222563884065085441043271341973594814340928775435686140845032574259
Wed Mar  7 22:05:22 2012  elapsed time 05:24:04 (Msieve 1.44 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.655).
Factorization parameters were as follows:
name: KA_91113_192
n: 6548669602823805978938101988155279737323538707738642243948836640524454856946471482524507533614033899554274919109912756224589024927967444425026707643613594667513309182692236913187757
m: 100000000000000000000000000000000000000
#  c181, diff: 193.91
skew: 0.29
deg: 5
c5: 8200
c0: 17
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8884226 hash collisions in 78590462 relations (72014699 unique)
Msieve: matrix is 1395896 x 1396121 (394.5 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,193,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.93 BogoMIPS (lpj=2798468)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797560)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44762.71 BogoMIPS).

62097105339983387329133446722827554070464426753542360799817300596148227443276375564764580346695440930747232727056242475613165265968374391683015430094705704471374733731337909<173>

493212021269064196245264336596027116931795207583933770652361445059697<69>
125903470844453061580754965818363960655861984620526539516558835180549965047802531775965192416841025060997<105>

Number: n
N=62097105339983387329133446722827554070464426753542360799817300596148227443276375564764580346695440930747232727056242475613165265968374391683015430094705704471374733731337909  ( 173 digits)
SNFS difficulty: 194 digits.
Divisors found:

Sun Mar  7 20:00:48 2021  p69 factor: 493212021269064196245264336596027116931795207583933770652361445059697
Sun Mar  7 20:00:48 2021  p105 factor: 125903470844453061580754965818363960655861984620526539516558835180549965047802531775965192416841025060997
Sun Mar  7 20:00:48 2021  elapsed time 01:11:08 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
#
# N = 82x10^193+17 = 91(192)3
#
n: 62097105339983387329133446722827554070464426753542360799817300596148227443276375564764580346695440930747232727056242475613165265968374391683015430094705704471374733731337909
m: 100000000000000000000000000000000000000
deg: 5
c5: 82000
c0: 17
skew: 0.18
# Murphy_E = 2.269e-11
type: snfs
lss: 1
rlim: 12400000
alim: 12400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12400000/12400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19023223)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3290432 hash collisions in 26993401 relations (25194459 unique)
Msieve: matrix is 1648430 x 1648656 (575.5 MB)

Sieving start time : 2021/03/07 14:10:25
Sieving end time  : 2021/03/07 18:48:46

Total sieving time: 4hrs 38min 21secs.

Total relation processing time: 0hrs 56min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 57sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12400000,12400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116745] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.152613] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.17 BogoMIPS (lpj=12798352)
[    0.150217] smpboot: Total of 16 processors activated (102386.81 BogoMIPS)

309224750100368092261579539438709545125562054824081603762647217378016695297006819212742163748150645236721177985332019589444063650459802297961811356033076338792881840333502569143<177>

41023681651228456866193007085386497237858464028802120877897797<62>
7537713283008287400350226137629349121972406807738209154203085689088641443090790252798162774875664066153661452963019<115>

p62 factor: 41023681651228456866193007085386497237858464028802120877897797
p115 factor: 7537713283008287400350226137629349121972406807738209154203085689088641443090790252798162774875664066153661452963019


Msieve v. 1.54 (SVN 1034)
random seeds: 4d0b19af 12b836d5
factoring 309224750100368092261579539438709545125562054824081603762647217378016695297006819212742163748150645236721177985332019589444063650459802297961811356033076338792881840333502569143 (177 digits)
searching for 15-digit factors
commencing number field sieve (177-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 85
A1: 0
A2: 0
A3: 0
A4: 0
A5: 41
skew 1.00, size 1.237e-13, alpha -0.277, combined = 2.240e-11 rroots = 1

commencing relation filtering
estimated available RAM is 15892.2 MB
commencing duplicate removal, pass 1
found 645009 hash collisions in 37658721 relations
added 726706 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 38385427 unique relations
memory use: 159.3 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1252.8 MB
keeping 40433338 ideals with weight <= 200, target excess is 204316
commencing in-memory singleton removal
begin with 38385427 relations and 40433338 unique ideals
reduce to 15274463 relations and 13461771 ideals in 14 passes
max relations containing the same ideal: 109
removing 2068661 relations and 1668661 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 13205802 relations and 13461771 unique ideals
reduce to 12974087 relations and 11553387 ideals in 8 passes
max relations containing the same ideal: 99
removing 1650800 relations and 1250800 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 11323287 relations and 11553387 unique ideals
reduce to 11148561 relations and 10122378 ideals in 8 passes
max relations containing the same ideal: 91
removing 1548764 relations and 1148764 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9599797 relations and 10122378 unique ideals
reduce to 9418446 relations and 8786188 ideals in 8 passes
max relations containing the same ideal: 80
removing 1509581 relations and 1114330 ideals in 395251 cliques
commencing in-memory singleton removal
begin with 7908865 relations and 8786188 unique ideals
reduce to 7695308 relations and 7449903 ideals in 9 passes
max relations containing the same ideal: 71
removing 70443 relations and 62045 ideals in 8398 cliques
commencing in-memory singleton removal
begin with 7624865 relations and 7449903 unique ideals
reduce to 7624370 relations and 7387363 ideals in 4 passes
max relations containing the same ideal: 70
relations with 0 large ideals: 4332
relations with 1 large ideals: 12493
relations with 2 large ideals: 99235
relations with 3 large ideals: 438704
relations with 4 large ideals: 1165222
relations with 5 large ideals: 1927367
relations with 6 large ideals: 2069530
relations with 7+ large ideals: 1907487
commencing 2-way merge
reduce to 4705376 relation sets and 4468369 unique ideals
commencing full merge
memory use: 515.9 MB
found 2187660 cycles, need 2162569
weight of 2162569 cycles is about 194824876 (90.09/cycle)
distribution of cycle lengths:
1 relations: 179986
2 relations: 178338
3 relations: 187877
4 relations: 185025
5 relations: 181895
6 relations: 169560
7 relations: 159495
8 relations: 145210
9 relations: 129700
10+ relations: 645483
heaviest cycle: 26 relations
commencing cycle optimization
start with 16007969 relations
pruned 543919 relations
memory use: 474.1 MB
distribution of cycle lengths:
1 relations: 179986
2 relations: 182707
3 relations: 194960
4 relations: 191497
5 relations: 188774
6 relations: 175144
7 relations: 164628
8 relations: 148681
9 relations: 132577
10+ relations: 603615
heaviest cycle: 25 relations
RelProcTime: 966
elapsed time 00:16:07


Msieve v. 1.54 (SVN 1034)
random seeds: e51c18b7 4f9850ba
factoring 309224750100368092261579539438709545125562054824081603762647217378016695297006819212742163748150645236721177985332019589444063650459802297961811356033076338792881840333502569143 (177 digits)
searching for 15-digit factors
commencing number field sieve (177-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 85
A1: 0
A2: 0
A3: 0
A4: 0
A5: 41
skew 1.00, size 1.237e-13, alpha -0.277, combined = 2.240e-11 rroots = 1

commencing linear algebra
read 2162569 cycles
cycles contain 7457868 unique relations
read 7457868 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 935.7 MB
read 2162569 cycles
matrix is 2162390 x 2162569 (794.3 MB) with weight 238365841 (110.22/col)
sparse part has weight 184425108 (85.28/col)
filtering completed in 2 passes
matrix is 2161648 x 2161827 (794.2 MB) with weight 238334020 (110.25/col)
sparse part has weight 184412733 (85.30/col)
matrix starts at (0, 0)
matrix is 2161648 x 2161827 (794.2 MB) with weight 238334020 (110.25/col)
sparse part has weight 184412733 (85.30/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2161600 x 2161827 (759.0 MB) with weight 195295201 (90.34/col)
sparse part has weight 177339355 (82.03/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (8 threads)
memory use: 718.1 MB
linear algebra at 0.1%, ETA 1h58m
checkpointing every 1050000 dimensions
lanczos halted after 34186 iterations (dim = 2161600)
recovered 36 nontrivial dependencies
BLanczosTime: 7749
elapsed time 02:09:10


Msieve v. 1.54 (SVN 1034)
random seeds: 25b9f9e3 fb62daba
factoring 309224750100368092261579539438709545125562054824081603762647217378016695297006819212742163748150645236721177985332019589444063650459802297961811356033076338792881840333502569143 (177 digits)
searching for 15-digit factors
commencing number field sieve (177-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 85
A1: 0
A2: 0
A3: 0
A4: 0
A5: 41
skew 1.00, size 1.237e-13, alpha -0.277, combined = 2.240e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1081453 cycles
cycles contain 3729384 unique relations
read 3729384 relations
multiplying 3729384 relations
multiply complete, coefficients have about 103.21 million bits
initial square root is modulo 25616141
GCD is 1, no factor found
reading relations for dependency 2
read 1079982 cycles
cycles contain 3725062 unique relations
read 3725062 relations
multiplying 3725062 relations
multiply complete, coefficients have about 103.10 million bits
initial square root is modulo 25123561
sqrtTime: 420
p62 factor: 41023681651228456866193007085386497237858464028802120877897797
p115 factor: 7537713283008287400350226137629349121972406807738209154203085689088641443090790252798162774875664066153661452963019
elapsed time 00:07:01

CADO-NFS/Msieve

94724409765444355721868493518017738405442091426316534277196813704661103849152822699912675829231848788073916128593352894334949937314600764127805998201484406046085699424461001537<176>

12055294435909984942126023498587748200844299830511820573753885790324663<71>
7857494503268360366766627782641513760052349757301897361413524389348518837232835486399447112373759892147399<106>

Number: n
N=94724409765444355721868493518017738405442091426316534277196813704661103849152822699912675829231848788073916128593352894334949937314600764127805998201484406046085699424461001537  ( 176 digits)
SNFS difficulty: 196 digits.
Divisors found:

Thu Mar  4 18:10:22 2021  p71 factor: 12055294435909984942126023498587748200844299830511820573753885790324663
Thu Mar  4 18:10:22 2021  p106 factor: 7857494503268360366766627782641513760052349757301897361413524389348518837232835486399447112373759892147399
Thu Mar  4 18:10:22 2021  elapsed time 01:15:57 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.325).
Factorization parameters were as follows:
#
# N = 82x10^195+17 = 91(194)3
#
n: 94724409765444355721868493518017738405442091426316534277196813704661103849152822699912675829231848788073916128593352894334949937314600764127805998201484406046085699424461001537
m: 1000000000000000000000000000000000000000
deg: 5
c5: 82
c0: 17
skew: 0.73
# Murphy_E = 2.396e-11
type: snfs
lss: 1
rlim: 13400000
alim: 13400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13400000/13400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3435918 hash collisions in 28132139 relations (26265493 unique)
Msieve: matrix is 1630256 x 1630481 (568.9 MB)

Sieving start time : 2021/03/04 12:05:13
Sieving end time  : 2021/03/04 16:53:44

Total sieving time: 4hrs 48min 31secs.

Total relation processing time: 0hrs 51min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 38sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13400000,13400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116378] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.154161] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.20 BogoMIPS (lpj=12798400)
[    0.152017] smpboot: Total of 16 processors activated (102387.20 BogoMIPS)

11239766411216197512347106754331822719949119788522139734333739417284228995447396497014657809394155926429213456071635019377145027035921165475736195593952464559768232423023338613616549<182>

252730206611290093045599579497216589513506064643065298480911039941479735998772158118493<87>
44473379584987404187799726783143665053844456635642984081804539134235750395114055307175155221993<95>

Number: n
N=11239766411216197512347106754331822719949119788522139734333739417284228995447396497014657809394155926429213456071635019377145027035921165475736195593952464559768232423023338613616549  ( 182 digits)
SNFS difficulty: 197 digits.
Divisors found:

Tue Mar  2 09:04:06 2021  p87 factor: 252730206611290093045599579497216589513506064643065298480911039941479735998772158118493
Tue Mar  2 09:04:06 2021  p95 factor: 44473379584987404187799726783143665053844456635642984081804539134235750395114055307175155221993
Tue Mar  2 09:04:06 2021  elapsed time 01:15:18 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 82x10^196+17 = 91(195)3
#
n: 11239766411216197512347106754331822719949119788522139734333739417284228995447396497014657809394155926429213456071635019377145027035921165475736195593952464559768232423023338613616549
m: 1000000000000000000000000000000000000000
deg: 5
c5: 820
c0: 17
skew: 0.46
# Murphy_E = 2.113e-11
type: snfs
lss: 1
rlim: 13900000
alim: 13900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13900000/13900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3357588 hash collisions in 27427370 relations (25589190 unique)
Msieve: matrix is 1735926 x 1736151 (608.8 MB)

Sieving start time : 2021/03/02 02:26:08
Sieving end time  : 2021/03/02 07:45:47

Total sieving time: 5hrs 19min 39secs.

Total relation processing time: 0hrs 59min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 42sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13900000,13900000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116873] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.153556] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798332)
[    0.152039] smpboot: Total of 16 processors activated (102386.65 BogoMIPS)

37146406853764699489750044872243532010369987716235326410722800188908550115313219606998618014054638905980538478081822674912454036384146039833167308588341<152>

738783617611967898711782554365501233268689880199856910569702406041863<69>
50280496167248724878116790005527426208071434759115494023388007396648621389474043107<83>

37146406853764699489750044872243532010369987716235326410722800188908550115313219606998618014054638905980538478081822674912454036384146039833167308588341=738783617611967898711782554365501233268689880199856910569702406041863*50280496167248724878116790005527426208071434759115494023388007396648621389474043107

cado polynomial
n: 37146406853764699489750044872243532010369987716235326410722800188908550115313219606998618014054638905980538478081822674912454036384146039833167308588341
skew: 0.77
type: snfs
c0: 17
c6: 82
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 82*x^6+17
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15000000
tasks.lim1 = 15000000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 738783617611967898711782554365501233268689880199856910569702406041863 50280496167248724878116790005527426208071434759115494023388007396648621389474043107
Info:Square Root: Total cpu/real time for sqrt: 784.65/236.136
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28837033
Info:Lattice Sieving: Average J: 1893.21 for 3795639 special-q, max bucket fill -bkmult 1.0,1s:1.173810
Info:Lattice Sieving: Total time: 988436s
Info:Generate Factor Base: Total cpu/real time for makefb: 9.74/3.84764
Info:Generate Free Relations: Total cpu/real time for freerel: 182.75/47.066
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 123.05/147.2
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 146.20000000000005s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 552.27/533.414
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 430.79999999999995s
Info:Filtering - Merging: Merged matrix has 2689816 rows and total weight 457516562 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 745.07/206.088
Info:Filtering - Merging: Total cpu/real time for replay: 106.27/92.7573
Info:Linear Algebra: Total cpu/real time for bwc: 126760/32453.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 81354.39, WCT time 20755.87, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (84480 iterations)
Info:Linear Algebra: Lingen CPU time 585.1, WCT time 148.4
Info:Linear Algebra: Mksol: CPU time 43836.27,  WCT time 11196.21, iteration CPU time 0.25, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (42496 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 92.53/41.2083
Info:Square Root: Total cpu/real time for sqrt: 784.65/236.136
Info:Filtering - Singleton removal: Total cpu/real time for purge: 438.39/487.886
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.04298e+06/104421
Info:root: Cleaning up computation data in /tmp/cado.jni7tefx
738783617611967898711782554365501233268689880199856910569702406041863 50280496167248724878116790005527426208071434759115494023388007396648621389474043107

cado-nfs-3.0.0

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

21769421411378083733783896654566984566235704548798609775907810343311747254989509902748935754551814161994075374765741443744678584064674209649100793754476909456721369737141126761919<179>

9905816859120072358555496458241347<34>
2197640206858402195187406419975670663417643118623478333671799258823606881720470930648315664336568856940862362210105490989904186027253070503710677<145>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4056647778
Step 1 took 141851ms
Step 2 took 65214ms
********** Factor found in step 2: 9905816859120072358555496458241347
Found probable prime factor of 34 digits: 9905816859120072358555496458241347
Probable prime cofactor 2197640206858402195187406419975670663417643118623478333671799258823606881720470930648315664336568856940862362210105490989904186027253070503710677 has 145 digits

GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]

PPC G5, 2.5 GHz, Mac OS X

740187767144944693802855664062043425910233313968541780969222240605145537251671176423734331172929578225014291442689525502192944963957893762504314224846689390651808571323015327<174>

434408623177171774106069137408921<33>

1703897500310582349508134188522862477330067908209795821401509648398843937661452821697196807571648429741951087010246706903465973994525476055287<142>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=231680584
Step 1 took 40639ms
Step 2 took 21584ms
********** Factor found in step 2: 434408623177171774106069137408921
Found probable prime factor of 33 digits: 434408623177171774106069137408921
Composite cofactor 1703897500310582349508134188522862477330067908209795821401509648398843937661452821697196807571648429741951087010246706903465973994525476055287 has 142 digits

GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]

PPC G5, 2.5 GHz, Mac OS X

1703897500310582349508134188522862477330067908209795821401509648398843937661452821697196807571648429741951087010246706903465973994525476055287<142>

818219468205738117771620786219280367848419253604210061455598990761<66>
2082445562004330015794122248157223283368910742903749496881828613427881086367<76>

1703897500310582349508134188522862477330067908209795821401509648398843937661452821697196807571648429741951087010246706903465973994525476055287=818219468205738117771620786219280367848419253604210061455598990761*2082445562004330015794122248157223283368910742903749496881828613427881086367

Info:Square Root: Factors: 2082445562004330015794122248157223283368910742903749496881828613427881086367 818219468205738117771620786219280367848419253604210061455598990761
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66686/41.440/50.863/57.500/0.945
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 66686/41.440/45.714/51.690/1.416
Info:Polynomial Selection (size optimized): Total time: 59971.6
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 11675
Info:Polynomial Selection (root optimized): Rootsieve time: 11672
Info:Generate Factor Base: Total cpu/real time for makefb: 16.37/2.34923
Info:Generate Free Relations: Total cpu/real time for freerel: 1059.58/107.749
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 33898852
Info:Lattice Sieving: Average J: 3839.56 for 1028153 special-q, max bucket fill -bkmult 1.0,1s:1.112590
Info:Lattice Sieving: Total time: 1.26948e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 224.09/527.748
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 525.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1645.19/1587.28
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1402.1000000000001s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 1193.29/1542.05
Info:Filtering - Merging: Total cpu/real time for merge: 1301.5/1168.35
Info:Filtering - Merging: Total cpu/real time for replay: 79/61.1312
Info:Linear Algebra: Total cpu/real time for bwc: 151420/32360.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 19821.34, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.07, comm-wait 0.0 (64000 iterations)
Info:Linear Algebra: Lingen CPU time 726.3, WCT time 159.64
Info:Linear Algebra: Mksol: WCT time 12007.62, iteration CPU time 0.3, COMM 0.01, cpu-wait 0.06, comm-wait 0.0 (32000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 138.83/35.6071
Info:Square Root: Total cpu/real time for sqrt: 12038.7/1594.04
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.51883e+06/255680
Info:root: Cleaning up computation data in /tmp/cado.ibr4aa2d
2082445562004330015794122248157223283368910742903749496881828613427881086367 818219468205738117771620786219280367848419253604210061455598990761

cado-nfs-3.0.0

Linux Ubuntu 18.04 LTS
GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors)

114962298827641535160948603513622447484652893331026250838749783892918010469519027624858609677296531810450117500479874117628062241081105247617038279481383607<156>

1594190401908866193547132219149954929454433444967518992781043453<64>
72113280000925192412013016813564056226061011905400466083232429480381503621864363279038286019<92>

Number: 91113_202
N = 114962298827641535160948603513622447484652893331026250838749783892918010469519027624858609677296531810450117500479874117628062241081105247617038279481383607 (156 digits)
SNFS difficulty: 204 digits.
Divisors found:
r1=1594190401908866193547132219149954929454433444967518992781043453 (pp64)
r2=72113280000925192412013016813564056226061011905400466083232429480381503621864363279038286019 (pp92)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 68.18 hours.
Factorization parameters were as follows:
n: 114962298827641535160948603513622447484652893331026250838749783892918010469519027624858609677296531810450117500479874117628062241081105247617038279481383607
m: 10000000000000000000000000000000000000000
deg: 5
c5: 8200
c0: 17
skew: 0.29
# Murphy_E = 9.353e-12
type: snfs
lss: 1
rlim: 17500000
alim: 17500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17500000/17500000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 39112187
Relations: 6093754 relations
Pruned matrix : 3631154 x 3631385
Total sieving time: 61.72 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 5.93 hours.
time per square root: 0.27 hours.
Prototype def-par.txt line would be: snfs,204,5,0,0,0,0,0,0,0,0,17500000,17500000,29,29,56,56,2.6,2.6,100000
total time: 68.18 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 3.19GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

2439381456634102831394523200626033084609115678902055989040734412934468789702422089401874105834484582911912241545212166860386674359316477465773551680053404427860242496767058437<175>

71436895287126991797037461733543818427017056541666814619505189004731386627971172621497<86>
34147361063627888241611874635297592567554409336843619006304422360121271427980295774831021<89>

Number: n
N=2439381456634102831394523200626033084609115678902055989040734412934468789702422089401874105834484582911912241545212166860386674359316477465773551680053404427860242496767058437  ( 175 digits)
SNFS difficulty: 206 digits.
Divisors found:

Sat Mar 16 14:08:13 2024  prp86 factor: 71436895287126991797037461733543818427017056541666814619505189004731386627971172621497
Sat Mar 16 14:08:13 2024  prp89 factor: 34147361063627888241611874635297592567554409336843619006304422360121271427980295774831021
Sat Mar 16 14:08:13 2024  elapsed time 02:56:00 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.093).
Factorization parameters were as follows:
#
# N = 82x10^204+17 = 91(203)3
#
n: 2439381456634102831394523200626033084609115678902055989040734412934468789702422089401874105834484582911912241545212166860386674359316477465773551680053404427860242496767058437
m: 100000000000000000000000000000000000000000
deg: 5
c5: 41
c0: 85
skew: 1.16
# Murphy_E = 8.596e-12
type: snfs
lss: 1
rlim: 19400000
alim: 19400000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19400000/19400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 56900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3187752 hash collisions in 19785075 relations (17107292 unique)
Msieve: matrix is 2350145 x 2350370 (664.2 MB)

Sieving start time: 2024/03/15 09:43:53
Sieving end time  : 2024/03/16 11:11:50

Total sieving time: 25hrs 27min 57secs.

Total relation processing time: 2hrs 45min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 7sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19400000,19400000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

26607104942137534158592195631182917290573065838142810680939295358813922679139808836264961842985029803693044352179213307442331154172577504091057269590404084891812563864080225654216248086169<188>

35027325473995492759631559686083412055639436917851<50>
759609949720278146727162357882342344291660647898819205734285567254543881161977827319006553794269724515048068882833921555115797948630197019<138>

Number: n
N=26607104942137534158592195631182917290573065838142810680939295358813922679139808836264961842985029803693044352179213307442331154172577504091057269590404084891812563864080225654216248086169
  ( 188 digits)
SNFS difficulty: 207 digits.
Divisors found:

Mon Aug 16 12:31:55 2021  p50 factor: 35027325473995492759631559686083412055639436917851
Mon Aug 16 12:31:55 2021  p138 factor: 759609949720278146727162357882342344291660647898819205734285567254543881161977827319006553794269724515048068882833921555115797948630197019
Mon Aug 16 12:31:55 2021  elapsed time 02:27:21 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 82x10^206+17 = 91(205)3
#
n: 26607104942137534158592195631182917290573065838142810680939295358813922679139808836264961842985029803693044352179213307442331154172577504091057269590404084891812563864080225654216248086169
m: 100000000000000000000000000000000000000000
deg: 5
c5: 820
c0: 17
skew: 0.46
# Murphy_E = 7.133e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 44400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9826370 hash collisions in 63228246 relations (55656950 unique)
Msieve: matrix is 2446599 x 2446828 (849.3 MB)

Sieving start time : 2021/08/15 18:35:56
Sieving end time  : 2021/08/16 10:02:59

Total sieving time: 15hrs 27min 3secs.

Total relation processing time: 1hrs 54min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 16min 37sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119240] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239968K/16727236K available (14339K kernel code, 2400K rwdata, 5012K rodata, 2736K init, 4964K bss, 487268K reserved, 0K cma-reserved)
[    0.152638] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.25 BogoMIPS (lpj=12798512)
[    0.150211] smpboot: Total of 16 processors activated (102388.09 BogoMIPS)

1200597654395998489256417709830911340127329051385830552418373067983818232809720391677609512041346633640998497356508361201362441340885727421493110677991992561748254971871529347260569<181>

2669640869476430546484727687532258687936054831008826623973426229366750332633207432359<85>
449722533140369352438863746315578391713871529463899605676290588324302553500953692635336139520191<96>

09/10/24 17:20:51 v1.34.5 @ TRIGKEY,
09/10/24 17:20:51 v1.34.5 @ TRIGKEY, ****************************
09/10/24 17:20:51 v1.34.5 @ TRIGKEY, Starting factorization of 82000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000017
09/10/24 17:20:51 v1.34.5 @ TRIGKEY, using pretesting plan: normal
09/10/24 17:20:51 v1.34.5 @ TRIGKEY, no tune info: using qs/gnfs crossover of 100 digits
09/10/24 17:20:51 v1.34.5 @ TRIGKEY, ****************************
09/10/24 17:20:51 v1.34.5 @ TRIGKEY, div: found prime factor = 3
09/10/24 17:20:51 v1.34.5 @ TRIGKEY, div: found prime factor = 3
09/10/24 17:20:51 v1.34.5 @ TRIGKEY, div: found prime factor = 13
09/10/24 17:20:51 v1.34.5 @ TRIGKEY, div: found prime factor = 83
09/10/24 17:20:51 v1.34.5 @ TRIGKEY, rho: x^2 + 3, starting 1000 iterations on C205
09/10/24 17:20:51 v1.34.5 @ TRIGKEY, rho: x^2 + 2, starting 1000 iterations on C205
09/10/24 17:20:51 v1.34.5 @ TRIGKEY, prp7 = 4633633
09/10/24 17:20:51 v1.34.5 @ TRIGKEY, rho: x^2 + 2, starting 1000 iterations on C199
09/10/24 17:20:51 v1.34.5 @ TRIGKEY, prp7 = 6980899
09/10/24 17:20:51 v1.34.5 @ TRIGKEY, rho: x^2 + 2, starting 1000 iterations on C192
09/10/24 17:20:51 v1.34.5 @ TRIGKEY, rho: x^2 + 1, starting 1000 iterations on C192
09/10/24 17:20:51 v1.34.5 @ TRIGKEY, pm1: starting B1 = 150K, B2 = gmp-ecm default on C192
09/10/24 17:20:51 v1.34.5 @ TRIGKEY, prp12 = 217429976989
09/10/24 17:20:51 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 0.00
09/10/24 17:20:51 v1.34.5 @ TRIGKEY, scheduled 30 curves at B1=2000 toward target pretesting depth of 55.69
09/10/24 17:20:51 v1.34.5 @ TRIGKEY, Finished 30 curves using Lenstra ECM method on C181 input, B1=2K, B2=gmp-ecm default
09/10/24 17:20:51 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 15.18
09/10/24 17:20:51 v1.34.5 @ TRIGKEY, scheduled 74 curves at B1=11000 toward target pretesting depth of 55.69
09/10/24 17:20:53 v1.34.5 @ TRIGKEY, Finished 74 curves using Lenstra ECM method on C181 input, B1=11K, B2=gmp-ecm default
09/10/24 17:20:53 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 20.24
09/10/24 17:20:53 v1.34.5 @ TRIGKEY, scheduled 214 curves at B1=50000 toward target pretesting depth of 55.69
09/10/24 17:21:34 v1.34.5 @ TRIGKEY, nfs: commencing nfs on c209: 82000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000017
09/10/24 17:21:34 v1.34.5 @ TRIGKEY, nfs: input divides 82*10^207 + 17
09/10/24 17:21:34 v1.34.5 @ TRIGKEY, nfs: using supplied cofactor: 1200597654395998489256417709830911340127329051385830552418373067983818232809720391677609512041346633640998497356508361201362441340885727421493110677991992561748254971871529347260569
09/10/24 17:21:34 v1.34.5 @ TRIGKEY, nfs: commencing snfs on c181: 1200597654395998489256417709830911340127329051385830552418373067983818232809720391677609512041346633640998497356508361201362441340885727421493110677991992561748254971871529347260569
09/10/24 17:21:34 v1.34.5 @ TRIGKEY, gen: best 3 polynomials:
n: 1200597654395998489256417709830911340127329051385830552418373067983818232809720391677609512041346633640998497356508361201362441340885727421493110677991992561748254971871529347260569
# 82*10^207+17, difficulty: 210.91, anorm: 7.47e+032, rnorm: 1.85e+047
# scaled difficulty: 213.31, suggest sieving rational side
# size = 1.340e-014, alpha = -0.749, combined = 5.752e-012, rroots = 1
type: snfs
size: 210
skew: 0.2906
c5: 8200
c0: 17
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 1200597654395998489256417709830911340127329051385830552418373067983818232809720391677609512041346633640998497356508361201362441340885727421493110677991992561748254971871529347260569
# 82*10^207+17, difficulty: 209.82, anorm: 5.28e+032, rnorm: 2.62e+047
# scaled difficulty: 212.27, suggest sieving rational side
# size = 1.241e-014, alpha = -0.518, combined = 5.461e-012, rroots = 1
type: snfs
size: 209
skew: 0.5812
c5: 1025
c0: 68
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
n: 1200597654395998489256417709830911340127329051385830552418373067983818232809720391677609512041346633640998497356508361201362441340885727421493110677991992561748254971871529347260569
# 82*10^207+17, difficulty: 211.91, anorm: 2.36e+039, rnorm: 2.03e+040
# scaled difficulty: 211.91, suggest sieving algebraic side
# size = 1.393e-010, alpha = -1.812, combined = 4.252e-012, rroots = 0
type: snfs
size: 211
skew: 0.2433
c6: 82000
c0: 17
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
09/10/24 17:21:35 v1.34.5 @ TRIGKEY, test: fb generation took 1.7371 seconds
09/10/24 17:21:35 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 0 on the rational side over range 22600000-22602000
skew: 0.2906
c5: 8200
c0: 17
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
09/10/24 17:24:38 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
09/10/24 17:24:40 v1.34.5 @ TRIGKEY, test: fb generation took 1.5893 seconds
09/10/24 17:24:40 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 1 on the rational side over range 21400000-21402000
skew: 0.5812
c5: 1025
c0: 68
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
09/10/24 17:27:41 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
09/10/24 17:27:43 v1.34.5 @ TRIGKEY, test: fb generation took 2.4874 seconds
09/10/24 17:27:43 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 2 on the algebraic side over range 22600000-22602000
skew: 0.2433
c6: 82000
c0: 17
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
09/10/24 17:30:27 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
09/10/24 17:30:27 v1.34.5 @ TRIGKEY, gen: selected polynomial:
n: 1200597654395998489256417709830911340127329051385830552418373067983818232809720391677609512041346633640998497356508361201362441340885727421493110677991992561748254971871529347260569
# 82*10^207+17, difficulty: 209.82, anorm: 5.28e+032, rnorm: 2.62e+047
# scaled difficulty: 212.27, suggest sieving rational side
# size = 1.241e-014, alpha = -0.518, combined = 5.461e-012, rroots = 1
type: snfs
size: 209
skew: 0.5812
c5: 1025
c0: 68
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
09/12/24 08:06:13 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
09/12/24 08:08:09 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 22171308
09/12/24 10:23:26 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
09/12/24 10:25:29 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 23331497
09/12/24 12:58:35 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
09/12/24 13:00:44 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 24625351
09/12/24 15:32:52 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
09/12/24 15:35:06 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 25898584
09/12/24 18:24:59 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
09/12/24 18:27:20 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 27301072
09/12/24 21:15:29 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
09/12/24 21:19:40 v1.34.5 @ TRIGKEY, nfs: commencing msieve linear algebra
09/13/24 00:00:54 v1.34.5 @ TRIGKEY, nfs: commencing msieve sqrt
09/13/24 00:04:18 v1.34.5 @ TRIGKEY, prp96 = 449722533140369352438863746315578391713871529463899605676290588324302553500953692635336139520191
09/13/24 00:04:18 v1.34.5 @ TRIGKEY, prp85 = 2669640869476430546484727687532258687936054831008826623973426229366750332633207432359
09/13/24 00:04:18 v1.34.5 @ TRIGKEY, NFS elapsed time = 196964.3794 seconds.
09/13/24 00:04:18 v1.34.5 @ TRIGKEY,
09/13/24 00:04:18 v1.34.5 @ TRIGKEY,
09/10/24 17:30:27 v1.34.5 @ TRIGKEY, test: test sieving took 533.37 seconds

YAFU

55266616814990347606605016536015365023568930814411822187362255854620850096605877790244539216434375053673351279231695641022184282257448010233885715041942550998145033393709812383708969697658697<191>

3214977849447235591740444735930604981<37>

17190356948957693470039350293303266778552822149005164531509144449475110498095531104582493698801666759964689810166266539491323283588038166571093187567722437<155>

Run 288 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2961982489
Step 1 took 15890ms
Step 2 took 5726ms
********** Factor found in step 2: 3214977849447235591740444735930604981
Found probable prime factor of 37 digits: 3214977849447235591740444735930604981
Composite cofactor 17190356948957693470039350293303266778552822149005164531509144449475110498095531104582493698801666759964689810166266539491323283588038166571093187567722437 has 155 digits

GMP-ECM 6.4.4

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

17190356948957693470039350293303266778552822149005164531509144449475110498095531104582493698801666759964689810166266539491323283588038166571093187567722437<155>

28404016788715950334237986597690016654462211<44>
605208660339438260417409149413939146805293097785913003483567959254667647400025825541229835198561422241431081367<111>

#
# N = 82x10^208+17 = 91(207)3
#
n: 17190356948957693470039350293303266778552822149005164531509144449475110498095531104582493698801666759964689810166266539491323283588038166571093187567722437
m: 100000000000000000000000000000000000000000
deg: 5
c5: 82000
c0: 17
skew: 0.18
# Murphy_E = 4.743e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 17190356948957693470039350293303266778552822149005164531509144449475110498095531104582493698801666759964689810166266539491323283588038166571093187567722437 (155 digits)
Using B1=43820000, B2=240491351116, polynomial Dickson(12), sigma=1:4092512755
Step 1 took 102662ms
Step 2 took 34558ms
********** Factor found in step 2: 28404016788715950334237986597690016654462211
Found prime factor of 44 digits: 28404016788715950334237986597690016654462211
Prime cofactor 605208660339438260417409149413939146805293097785913003483567959254667647400025825541229835198561422241431081367 has 111 digits

828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828283<210>

299599063243074939525063551<27>

2764637577023444065259279322679495132897295795067458755073051553745821152227590301189789938195009935386185913362316820047840085802550401244985444662758069878788675993945895108644576133<184>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=2455480549
Step 1 took 68420ms
Step 2 took 34731ms
********** Factor found in step 2: 299599063243074939525063551
Found probable prime factor of 27 digits: 299599063243074939525063551
Composite cofactor

138746582317773409469984344313297376464031078436871272176300053373983742465202825535859005588421223245138350730892441328353755088530913089257289550028979954477215017167825399480200521<183>

145307671739651476927830705273480326269356487101530071295445865009563180191539967100994887832103547830884290066029849890978728937171814722382536744490685637962881265355997189518946746873<186>

10247120023266321159777443443<29>

14180342516700016568425214560069135480231668984005699746387790252384894378202597251760855709518726165948236801078449004586239866855736886137969860554953783011<158>

Run 80 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4104633162
Step 1 took 16190ms
Step 2 took 5655ms
********** Factor found in step 2: 10247120023266321159777443443
Found probable prime factor of 29 digits: 10247120023266321159777443443
Composite cofactor 14180342516700016568425214560069135480231668984005699746387790252384894378202597251760855709518726165948236801078449004586239866855736886137969860554953783011 has 158 digits

GMP-ECM 6.4.4

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

14180342516700016568425214560069135480231668984005699746387790252384894378202597251760855709518726165948236801078449004586239866855736886137969860554953783011<158>

28313219691219919427671373511873723889<38>

500838218731351718454967203024088097957676909763992008938653989078336318389697920986997576790468647489373171887166062099<120>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3957107082
Step 1 took 19530ms
Step 2 took 7927ms
********** Factor found in step 2: 28313219691219919427671373511873723889
Found probable prime factor of 38 digits: 28313219691219919427671373511873723889
Composite cofactor 500838218731351718454967203024088097957676909763992008938653989078336318389697920986997576790468647489373171887166062099 has 120 digits

500838218731351718454967203024088097957676909763992008938653989078336318389697920986997576790468647489373171887166062099<120>

2993437678029177448652911831757835498096706782006544822321<58>
167312058108754111656667010540474476295193823483976597345478019<63>

N=500838218731351718454967203024088097957676909763992008938653989078336318389697920986997576790468647489373171887166062099
  ( 120 digits)
Divisors found:
 r1=2993437678029177448652911831757835498096706782006544822321 (pp58)
 r2=167312058108754111656667010540474476295193823483976597345478019 (pp63)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 41.15 hours.
Scaled time: 34.32 units (timescale=0.834).
Factorization parameters were as follows:
n: 500838218731351718454967203024088097957676909763992008938653989078336318389697920986997576790468647489373171887166062099
skew: 600564.57
c0: -619390764362070614599264931535
c1: 39577707680193865859073215
c2: -40023407900928832449
c3: -212678676298405
c4: 88464766
c5: 240
Y0: -291002749739973392612492
Y1: 1375907271167
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
type: gnfs
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2500000, 4100001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 703837 x 704064
Total sieving time: 39.91 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 0.74 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
gnfs,119,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5000000,5000000,27,27,54,54,2.5,2.5,100000
total time: 41.15 hours.
 --------- CPU info (if available) ----------

14325839345029248417295921350337306461922822544408734771750001494528902417073070606392079969195403022883463411846561281311171297030072786566398131465417306490527079145089<170>

28283560685704864000365338679620787567151<41>

506507631914599914584588378416259626788616946789144191862583155632960102022179980469103587281154329170004709269586982556839196239<129>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1102289318
Step 1 took 57311ms
Step 2 took 26866ms
********** Factor found in step 2: 28283560685704864000365338679620787567151
Found probable prime factor of 41 digits: 28283560685704864000365338679620787567151

506507631914599914584588378416259626788616946789144191862583155632960102022179980469103587281154329170004709269586982556839196239<129>

126466449793602300425538720305443078910723018638317109973<57>
4005075122621360894660526135877737261776259764350189478424098414656093843<73>

Number: 91113_214
N=506507631914599914584588378416259626788616946789144191862583155632960102022179980469103587281154329170004709269586982556839196239
  ( 129 digits)
Divisors found:
 r1=126466449793602300425538720305443078910723018638317109973
 r2=4005075122621360894660526135877737261776259764350189478424098414656093843
Version: 
Total time: 59.83 hours.
Scaled time: 311.59 units (timescale=5.208).
Factorization parameters were as follows:
name: 91113_214
n: 506507631914599914584588378416259626788616946789144191862583155632960102022179980469103587281154329170004709269586982556839196239
skew: 21918.62
# norm 1.31e+17
c5: 904440
c4: 415775232688
c3: -2514592792913432
c2: -180153466990569993377
c1: 182334207693774332942442
c0: 4349066166988235172041941512
# alpha -5.34
Y1: 162865775453183
Y0: -3545189155162198478593867
# Murphy_E 9.25e-11
# M 39779048598158534465528462206504083078124457490717168068984709077063240463015044785459280608764543021785042201343177437445746617
type: gnfs
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved algebraic special-q in [4200000, 9300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20470146
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1465568 x 1465816
Polynomial selection time: 9.10 hours.
Total sieving time: 45.30 hours.
Total relation processing time: 2.52 hours.
Matrix solve time: 2.55 hours.
Time per square root: 0.36 hours.
Prototype def-par.txt line would be:
gnfs,128,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,8400000,8400000,28,28,55,55,2.6,2.6,100000
total time: 59.83 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49370224k/51380224k available (5223k kernel code, 1085960k absent, 924040k reserved, 7119k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.85 BogoMIPS (lpj=3399928)
Total of 12 processors activated (81598.27 BogoMIPS).

GGNFS / Msieve v1.39

Core i7 4930K

7424666747374476019496985890320059324590051666326552946195523249114385414451521968352054591849762647313993141012717584165121104019300535507770136466146948724554330170423871<172>

2677655212168781556332744515987808021458414475584530914719588555571251259860881816635785095343904783985706943044334742003461297398435064952171036611955469039<157>

2875880217580305916253543219985459579480801556884481004077882327065000535376817202522350380885814273399415502503794090980219375717580030651340683386481425360836772103413170484355491786270371006097<196>

200913951888736292850480629461876537918479800544211191591829666150508479429105895823303095112294161487802660883908859945379000936330704517134096200543641612283909828090616262345464691755424327904542907<201>

63393002576412580529432706453103489145127488368513495978293738510222709411032063823165593029441195405860611422976893216229547117625286276369368803959168932711535458006722914061<176>

1425161783857586745265877795882455853849<40>
44481267526569673027796198052736620176236853227417522827551171521980116285750379067669295173076103126791349893733738352599059409179053589<137>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3591500481
Step 1 took 22904ms
Step 2 took 8934ms
********** Factor found in step 2: 1425161783857586745265877795882455853849
Found probable prime factor of 40 digits: 1425161783857586745265877795882455853849

39836515764575661316803705870500196156607770660378447987282268507788431904085227041745481956982014917485971680386712223001768857885155796115811846152904726686526930929818998211696677608253470231<194>

10211695043515373025792521100331816258454144719<47>
9642436412203318612694697805486352523658535115533461614643<58>
404572841940902510677494833087648307674756890877696106633397603333846484776899332150479843<90>

Number: 91113_220
N = 39836515764575661316803705870500196156607770660378447987282268507788431904085227041745481956982014917485971680386712223001768857885155796115811846152904726686526930929818998211696677608253470231 (194 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=10211695043515373025792521100331816258454144719 (pp47)
r2=9642436412203318612694697805486352523658535115533461614643 (pp58)
r3=404572841940902510677494833087648307674756890877696106633397603333846484776899332150479843 (pp90)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 113.41 hours.
Factorization parameters were as follows:
n: 39836515764575661316803705870500196156607770660378447987282268507788431904085227041745481956982014917485971680386712223001768857885155796115811846152904726686526930929818998211696677608253470231
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 82
c0: 17
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: 9857650 relations
Pruned matrix : 8391982 x 8392207
Total pre-computation time approximately 300 CPU-days.
Pre-computation saved approximately 8 G relations.
Total batch smoothness checking time: 48.13 hours.
Total relation processing time: 0.43 hours.
Matrix solve time: 63.99 hours.
time per square root: 0.87 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 113.41 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

13465857699612586504523202186070930362517734111342835874994691080711666266556420982227148882450921255795390982397812564140765863289859405902335440196709106422062832986510074146632919667551<188>

42838229989265240820236795067270978141169509006756049<53>
15144386150018202642419413643877163584634130197731704504371<59>
20756342478508556557004101731991670822411229967991007213549665183011403438869<77>

Number: 91113_221
N = 13465857699612586504523202186070930362517734111342835874994691080711666266556420982227148882450921255795390982397812564140765863289859405902335440196709106422062832986510074146632919667551 (188 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=42838229989265240820236795067270978141169509006756049 (pp53)
r2=15144386150018202642419413643877163584634130197731704504371 (pp59)
r3=20756342478508556557004101731991670822411229967991007213549665183011403438869 (pp77)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 72.03 hours.
Factorization parameters were as follows:
n: 13465857699612586504523202186070930362517734111342835874994691080711666266556420982227148882450921255795390982397812564140765863289859405902335440196709106422062832986510074146632919667551
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 820
c0: 17
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: 7989570 relations
Pruned matrix : 6893063 x 6893288
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 36.20 hours.
Total relation processing time: 0.37 hours.
Matrix solve time: 34.98 hours.
time per square root: 0.49 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: 72.03 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

10003849042998238042504204041956418794543567288307867574535797438093208873999475671957189249832769715654772116476210848041448620190185386549734747717873687648403361252681624815320865056853<188>

24899688247206910704122774060005353813870960602341097<53>
1310492753225399685435536232448382113068717403486285771<55>
306576312568060532373766549227905890585239458737201938522901374822414855949683719<81>

Number: 91113_222
N = 10003849042998238042504204041956418794543567288307867574535797438093208873999475671957189249832769715654772116476210848041448620190185386549734747717873687648403361252681624815320865056853 (188 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=24899688247206910704122774060005353813870960602341097 (pp53)
r2=1310492753225399685435536232448382113068717403486285771 (pp55)
r3=306576312568060532373766549227905890585239458737201938522901374822414855949683719 (pp81)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 115.91 hours.
Factorization parameters were as follows:
n: 10003849042998238042504204041956418794543567288307867574535797438093208873999475671957189249832769715654772116476210848041448620190185386549734747717873687648403361252681624815320865056853
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 8200
c0: 17
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: 10418520 relations
Pruned matrix : 8838179 x 8838404
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 51.12 hours.
Total relation processing time: 0.41 hours.
Matrix solve time: 63.32 hours.
time per square root: 1.06 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 115.91 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

684531263043659737874613907671758911428332915936221721345688287837048167626680023374238250271308122547791969279572585357709324651473411803990316387010601886634944486184155605643208948994072961015109775440353952750646965523<222>

37755854380033738774846649062407679822021<41>

18130466765590063655143936669917624824710825003957855388563122155056169841358837296609232086307737343576186960455069184029844032051508135979879404275750352052156344461771227427894263<182>

Using B1=43000000, B2=582162027730, polynomial Dickson(30), sigma=1771707250
Step 1 took 288625ms
Step 2 took 162337ms
********** Factor found in step 2: 37755854380033738774846649062407679822021
Found probable prime factor of 41 digits: 37755854380033738774846649062407679822021
Composite cofactor 

155272603535706263231781416930436739431285078406361202499642054720328152519241388725430115802704094317853791814718761180294877356629229414253391633584989952580448921513181051679851099309762987184640387460787<207>

41051413806200675507995477759559745346191498743541563159691583262559619952249920520750405241206440985231163951925209740866739727533804640444396485816283885230036686745128795283680507<182>