79649542015133412982875348466746316208681800079649542015133412982875348466746316208681800079649542015133412982875348466746316208681800079649542015133413<152>

661935245772807400405303706022642863715601<42>
39969992495755205306998842332734817740510356056777<50>
3010465883270152612607869483290283204139039754469978537289069<61>

Number: n
N=79649542015133412982875348466746316208681800079649542015133412982875348466746316208681800079649542015133412982875348466746316208681800079649542015133413
  ( 152 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=661935245772807400405303706022642863715601 (pp42)
 r2=39969992495755205306998842332734817740510356056777 (pp50)
 r3=3010465883270152612607869483290283204139039754469978537289069 (pp61)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 30.67 hours.
Scaled time: 25.36 units (timescale=0.827).
Factorization parameters were as follows:
name: KA_2_154_7
n: 79649542015133412982875348466746316208681800079649542015133412982875348466746316208681800079649542015133412982875348466746316208681800079649542015133413
skew: 1
deg: 5
c5: 2
c0: 43
m: 10000000000000000000000000000000
type: snfs
rlim: 2500000
alim: 2500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1000001)
Primes: RFBsize:183072, AFBsize:183126, largePrimes:6529615 encountered
Relations: rels:5939827, finalFF:413909
Max relations in full relation-set: 48
Initial matrix: 366263 x 413909 with sparse part having weight 31561080.
Pruned matrix : 329480 x 331375 with weight 20050356.
Total sieving time: 26.37 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 3.66 hours.
Total square root time: 0.33 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000
total time: 30.67 hours.
 --------- CPU info (if available) ----------
CPU: AMD Athlon(tm) XP 2100+ stepping 02
Memory: 904260k/917504k available (1815k kernel code, 12496k reserved, 846k data, 272k init, 0k highmem)
Calibrating delay loop... 3440.64 BogoMIPS

1351491012087326549211979087569214053838808220524355993937154678565591119267140370025719121273819964452615804361909214924166342965666826491<139>

347764084623597453108213934934669011761877139<45>
3886229406208272471593857319229809807058694766986913068964477873900842341708025811926593810169<94>

Number: 22227_159
N=1351491012087326549211979087569214053838808220524355993937154678565591119267140370025719121273819964452615804361909214924166342965666826491
  ( 139 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=347764084623597453108213934934669011761877139 (pp45)
 r2=3886229406208272471593857319229809807058694766986913068964477873900842341708025811926593810169 (pp94)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 29.92 hours.
Scaled time: 63.91 units (timescale=2.136).
Factorization parameters were as follows:
n: 1351491012087326549211979087569214053838808220524355993937154678565591119267140370025719121273819964452615804361909214924166342965666826491
m: 100000000000000000000000000000000
c5: 1
c0: 215
skew: 2.93
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3600001)
Primes: RFBsize:283146, AFBsize:283892, largePrimes:5618226 encountered
Relations: rels:5629970, finalFF:640876
Max relations in full relation-set: 28
Initial matrix: 567102 x 640876 with sparse part having weight 39940913.
Pruned matrix : 509180 x 512079 with weight 28084715.
Total sieving time: 27.43 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 2.35 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 29.92 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Total of 4 processors activated (19246.12 BogoMIPS).

Core 2 Quad Q6600

9941808416711451370344078339141405242563672006192902016326038536632701932495104016175058363609265101451137320153995373886973559<127>

7374950638373593966200740279443<31>
1348050841856743517595672702299157137569123136816328878609841055467622001119053294651183847225613<97>

GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 9941808416711451370344078339141405242563672006192902016326038536632701932495104016175058363609265101451137320153995373886973559 (127 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3548766910
Step 1 took 14140ms
Step 2 took 9704ms
********** Factor found in step 2: 7374950638373593966200740279443
Found probable prime factor of 31 digits: 7374950638373593966200740279443
Probable prime cofactor 1348050841856743517595672702299157137569123136816328878609841055467622001119053294651183847225613 has 97 digits

Pentium 4 3.2GHz

28192415356793158638192183338666628496972623324831542589743436403638771282467070408328673563565546545108383620701535231<119>

6031404599401018735875679381997121151338791<43>
4674270295113837822854436114846620958627275146480609988485697911563517332841<76>

Number: 22227_163
N=28192415356793158638192183338666628496972623324831542589743436403638771282467070408328673563565546545108383620701535231
  ( 119 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=6031404599401018735875679381997121151338791 (pp43)
 r2=4674270295113837822854436114846620958627275146480609988485697911563517332841 (pp76)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 123.25 hours.
Scaled time: 75.30 units (timescale=0.611).
Factorization parameters were as follows:
name: 22227_163
n: 28192415356793158638192183338666628496972623324831542589743436403638771282467070408328673563565546545108383620701535231
m: 200000000000000000000000000000000
c5: 125
c0: 86
skew: 3
type: snfs
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2250000, 5050001)
Primes: RFBsize:315948, AFBsize:316481, largePrimes:5868108 encountered
Relations: rels:5997608, finalFF:752496
Max relations in full relation-set: 28
Initial matrix: 632494 x 752496 with sparse part having weight 52357200.
Pruned matrix : 542953 x 546179 with weight 37194109.
Total sieving time: 107.20 hours.
Total relation processing time: 0.55 hours.
Matrix solve time: 15.26 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,48,48,2.3,2.3,100000
total time: 123.25 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin

1953702965556761581016921238131456328297837356836097377850297218659743218080325770900491696396111216166729973175235118434495603877328996729557<142>

212146409889374522698249183584805409<36>
9209220022038251514752208083059669039690403032046144718649809261395595313649005423325208968370329688568373<106>

A factor was found for (2*10^164+43)/9 using GMP-ECM using factor method ECM
   Candidate number: 1953702965556761581016921238131456328297837356836097377850297218659743218080325770900491696396111216166729973175235118434495603877328996729557
   Factor: 212146409889374522698249183584805409
   Factor Type: probable
   Factor Length: 36
   Co-Factor: 9209220022038251514752208083059669039690403032046144718649809261395595313649005423325208968370329688568373
   Co-Factor Type: Probable
   Co-Factor Length: 106
   B1: 3000000
   Sigma: 284680118

214953025281065940547395149502201290586118762475115084677179939782782050610010468173133158100944549423320604633635433583123437326972831<135>

11279471825173337406649938800073870329587734408745733<53>
19057011588196652779014261179465989128269937645311151180852735600411117204477421907<83>

Number: 22227_167
N=214953025281065940547395149502201290586118762475115084677179939782782050610010468173133158100944549423320604633635433583123437326972831
  ( 135 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=11279471825173337406649938800073870329587734408745733 (pp53)
 r2=19057011588196652779014261179465989128269937645311151180852735600411117204477421907 (pp83)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 115.79 hours.
Scaled time: 116.48 units (timescale=1.006).
Factorization parameters were as follows:
name: 22227_167
n: 214953025281065940547395149502201290586118762475115084677179939782782050610010468173133158100944549423320604633635433583123437326972831
m: 1000000000000000000000000000000000
c5: 200
c0: 43
skew: 0.74
type: snfs
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2750000, 6850001)
Primes: RFBsize:380800, AFBsize:380632, largePrimes:6097586 encountered
Relations: rels:6324207, finalFF:873305
Max relations in full relation-set: 28
Initial matrix: 761497 x 873305 with sparse part having weight 61105444.
Pruned matrix : 674396 x 678267 with weight 45815347.
Total sieving time: 111.93 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 3.64 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,48,48,2.6,2.6,100000
total time: 115.79 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

4728132387706855791962174940898345153664302600472813238770685579196217494089834515366430260047281323877068557919621749408983451536643026004728132387706855791962174941<166>

45965997803609570676069581691927428510183<41>
2946919768053066098412187258879318843529311861174818097<55>
34904757433689170732652558228154689367498858601950291450197647933335691<71>

Number: n
N=4728132387706855791962174940898345153664302600472813238770685579196217494089834515366430260047281323877068557919621749408983451536643026004728132387706855791962174941
  ( 166 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=45965997803609570676069581691927428510183 (pp41)
 r2=2946919768053066098412187258879318843529311861174818097 (pp55)
 r3=34904757433689170732652558228154689367498858601950291450197647933335691 (pp71)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 101.82 hours.
Scaled time: 134.81 units (timescale=1.324).
Factorization parameters were as follows:
name: KA_2_167_7
n: 4728132387706855791962174940898345153664302600472813238770685579196217494089834515366430260047281323877068557919621749408983451536643026004728132387706855791962174941
skew: 0.93
deg: 5
c5: 125
c0: 86
m: 2000000000000000000000000000000000
type: snfs
rlim: 5000000
alim: 5000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 4000001)
Primes: RFBsize:348513, AFBsize:349516, largePrimes:8195682 encountered
Relations: rels:7828220, finalFF:805085
Max relations in full relation-set: 48
Initial matrix: 698094 x 805085 with sparse part having weight 48480685.
Pruned matrix : 604878 x 608432 with weight 31850567.
Total sieving time: 92.31 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 8.93 hours.
Total square root time: 0.22 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,48,48,2.5,2.5,100000
total time: 101.82 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

238948626045400238948626045400238948626045400238948626045400238948626045400238948626045400238948626045400238948626045400238948626045400238948626045400238948626045400239<168>

822727558550038088856535467720496024936606976987042056653456323459910599<72>
290434693188738543956075989104111212671965096094614253375494043532658467524800249969328397926361<96>

Number: n
N=238948626045400238948626045400238948626045400238948626045400238948626045400238948626045400238948626045400238948626045400238948626045400238948626045400238948626045400239
  ( 168 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=822727558550038088856535467720496024936606976987042056653456323459910599 (pp72)
 r2=290434693188738543956075989104111212671965096094614253375494043532658467524800249969328397926361 (pp96)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 101.07 hours.
Scaled time: 120.88 units (timescale=1.196).
Factorization parameters were as follows:
name: KA_2_169_7
n: 238948626045400238948626045400238948626045400238948626045400238948626045400238948626045400238948626045400238948626045400238948626045400238948626045400238948626045400239
type: snfs
skew: 1.85
deg: 5
c5: 2
c0: 43
m: 10000000000000000000000000000000000
rlim: 5000000
alim: 5000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 3500001)
Primes: RFBsize:348513, AFBsize:348531, largePrimes:8123742 encountered
Relations: rels:7797506, finalFF:823183
Max relations in full relation-set: 28
Initial matrix: 697109 x 823183 with sparse part having weight 47249027.
Pruned matrix : 584171 x 587720 with weight 29395354.
Total sieving time: 92.50 hours.
Total relation processing time: 0.38 hours.
Matrix solve time: 8.04 hours.
Total square root time: 0.15 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,48,48,2.6,2.6,100000
total time: 101.07 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

305095500892250044395188955647056790908387517500077469449147119054695887540930792072824496609898271372962839988185876655738738257438177439<138>

81317872091067859211776561786730306649095464142918715845659<59>
3751887414744125246302985151074553352323146938504677201795126577989619237545421<79>

Number: 22227_171
N=305095500892250044395188955647056790908387517500077469449147119054695887540930792072824496609898271372962839988185876655738738257438177439
  ( 138 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=81317872091067859211776561786730306649095464142918715845659 (pp59)
 r2=3751887414744125246302985151074553352323146938504677201795126577989619237545421 (pp79)
Version: Msieve-1.40
Total time: 84.22 hours.
Scaled time: 153.29 units (timescale=1.820).
Factorization parameters were as follows:
name: 22227_171
n: 305095500892250044395188955647056790908387517500077469449147119054695887540930792072824496609898271372962839988185876655738738257438177439
m: 10000000000000000000000000000000000
deg: 5
c5: 20
c0: 43
skew: 1.17
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2500000, 5900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 998127 x 998357
Total sieving time: 81.69 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 2.34 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 84.22 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: 3109164k/3145344k available (2732k kernel code, 34856k reserved, 1420k data, 412k init, 2227840k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4787.99 BogoMIPS (lpj=2393996)
Calibrating delay using timer specific routine.. 4787.75 BogoMIPS (lpj=2393875)
Calibrating delay using timer specific routine.. 4787.78 BogoMIPS (lpj=2393891)
Calibrating delay using timer specific routine.. 4787.76 BogoMIPS (lpj=2393884)
Total of 4 processors activated (19151.29 BogoMIPS).

2222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227<172>

1754614804757565785712489120426881346518977<43>
1266501465846952949874835380376498574495553770154845880082310728334619055651692455210844385139552416214859403953453928983218567251<130>

Number: n
N=2222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227
  ( 172 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=1754614804757565785712489120426881346518977 (pp43)
 r2=1266501465846952949874835380376498574495553770154845880082310728334619055651692455210844385139552416214859403953453928983218567251 (pp130)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 271.55 hours.
Scaled time: 224.57 units (timescale=0.827).
Factorization parameters were as follows:
name: KA_C172_2_171_7
n: 2222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227
skew: 1
deg: 5
c5: 200
c0: 43
m: 10000000000000000000000000000000000
type: snfs
rlim: 4800000
alim: 4800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 200000
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [2400000, 10000001)
Primes: RFBsize:335439, AFBsize:335372, largePrimes:8991273 encountered
Relations: rels:8540919, finalFF:760748
Max relations in full relation-set: 48
Initial matrix: 670876 x 760748 with sparse part having weight 107554650.
Pruned matrix : 626583 x 630001 with weight 85954256.
Total sieving time: 236.73 hours.
Total relation processing time: 0.72 hours.
Matrix solve time: 33.80 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,4800000,4800000,28,28,48,48,2.5,2.5,100000
total time: 271.55 hours.
 --------- CPU info (if available) ----------
CPU: AMD Athlon(tm) XP 2100+ stepping 02
Memory: 904260k/917504k available (1815k kernel code, 12496k reserved, 846k data, 272k init, 0k highmem)
Calibrating delay loop... 3440.64 BogoMIPS

661345708821893374203289907537504451929814257329220639890816873822424081235838857218842383267701303693905313157390167847097369642601<132>

404075342846215616011831753904136079<36>
1636689099026739176899658261871273953653786966383885960693665967442392548030342512207866446134919<97>

GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 661345708821893374203289907537504451929814257329220639890816873822424081235838857218842383267701303693905313157390167847097369642601 (132 digits)
Using B1=1954000, B2=2180540350, polynomial Dickson(6), sigma=2069947707
Step 1 took 17724ms
Step 2 took 9676ms
********** Factor found in step 2: 404075342846215616011831753904136079
Found probable prime factor of 36 digits: 404075342846215616011831753904136079
Probable prime cofactor 1636689099026739176899658261871273953653786966383885960693665967442392548030342512207866446134919 has 97 digits

327494428558042076259395100381203134871319731608533943837568430840775541679852843667463856803572762409692771245908767964705821<126>

96018067606635797646393749559985680613<38>
3410758378305553129463494314744010333879148182725934296703293055767983843116651912665817<88>

GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 327494428558042076259395100381203134871319731608533943837568430840775541679852843667463856803572762409692771245908767964705821 (126 digits)
Using B1=2920000, B2=3864891599, polynomial Dickson(6), sigma=3099881266
Step 1 took 26790ms
********** Factor found in step 1: 96018067606635797646393749559985680613
Found probable prime factor of 38 digits: 96018067606635797646393749559985680613
Probable prime cofactor 3410758378305553129463494314744010333879148182725934296703293055767983843116651912665817 has 88 digits

1056889632091893290032303264344619368575762721236916756908260434406707826682039936757347883697980214326469107848597389955018208127009397317<139>

229179235358471357527635990915442802848220200964490086081<57>
4611629105223064141343495545005673941624848209962161881331512835335124090521114757<82>

N=1056889632091893290032303264344619368575762721236916756908260434406707826682039936757347883697980214326469107848597389955018208127009397317
  ( 139 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=229179235358471357527635990915442802848220200964490086081 (pp57)
 r2=4611629105223064141343495545005673941624848209962161881331512835335124090521114757 (pp82)
Version: Msieve-1.40
Total time: 126.86 hours.
Scaled time: 246.88 units (timescale=1.946).
Factorization parameters were as follows:
n: 1056889632091893290032303264344619368575762721236916756908260434406707826682039936757347883697980214326469107848597389955018208127009397317
m: 1000000000000000000000000000000000000
deg: 5
c5: 1
c0: 215
skew: 2.93
# Murphy_E = 1.214e-10
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3500000, 5500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1176246 x 1176475
Total sieving time: 125.03 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.47 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,180.000,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,53,53,2.5,2.5,100000
total time: 126.86 hours.
 --------- CPU info (if available) ----------

1888442809049507683659580919344286953235395159204563068933930911281628159543703237820192417570544118071558826128035508710749839501947289640163613717229192839<157>

439054702865323410321022575075546269546025578557870795303<57>
4301156089948027996708980482936769284640872712116560206223272327137215666263675655986296783526321313<100>

N=1888442809049507683659580919344286953235395159204563068933930911281628159543703237820192417570544118071558826128035508710749839501947289640163613717229192839
  ( 157 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=439054702865323410321022575075546269546025578557870795303 (pp57)
 r2=4301156089948027996708980482936769284640872712116560206223272327137215666263675655986296783526321313 (pp100)
Version: Msieve-1.40
Total time: 201.24 hours.
Scaled time: 377.72 units (timescale=1.877).
Factorization parameters were as follows:
n: 1888442809049507683659580919344286953235395159204563068933930911281628159543703237820192417570544118071558826128035508710749839501947289640163613717229192839
m: 1000000000000000000000000000000000000
deg: 5
c5: 2000
c0: 43
skew: 0.46
# Murphy_E = 6.914e-11
type: snfs
lss: 1
rlim: 7900000
alim: 7900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7900000/7900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3950000, 7150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1262458 x 1262683
Total sieving time: 199.04 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 1.69 hours.
Time per square root: 0.32 hours.
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,7900000,7900000,28,28,53,53,2.5,2.5,100000
total time: 201.24 hours.
 --------- CPU info (if available) ----------

35787256207005215018548258298869566485959189197232942946867652492621001952198815586806692280991022230340590127173087555320330877341359441716092649989639<152>

707417180030563288311548963597449999016697431548170885828503767<63>
50588616190320767381760775062143941093311651274272191920239662536264186257670061360436817<89>

N=35787256207005215018548258298869566485959189197232942946867652492621001952198815586806692280991022230340590127173087555320330877341359441716092649989639
  ( 152 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=707417180030563288311548963597449999016697431548170885828503767 (pp63)
 r2=50588616190320767381760775062143941093311651274272191920239662536264186257670061360436817 (pp89)
Version: Msieve-1.40
Total time: 180.52 hours.
Scaled time: 346.95 units (timescale=1.922).
Factorization parameters were as follows:
n: 35787256207005215018548258298869566485959189197232942946867652492621001952198815586806692280991022230340590127173087555320330877341359441716092649989639
m: 10000000000000000000000000000000000000
deg: 5
c5: 1
c0: 215
skew: 2.93
# Murphy_E = 7.614e-11
type: snfs
lss: 1
rlim: 8500000
alim: 8500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8500000/8500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4250000, 7050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1471482 x 1471707
Total sieving time: 177.60 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.29 hours.
Time per square root: 0.41 hours.
Prototype def-par.txt line would be:
snfs,185.000,5,0,0,0,0,0,0,0,0,8500000,8500000,28,28,54,54,2.5,2.5,100000
total time: 180.52 hours.
 --------- CPU info (if available) ----------

231266183171795427603013259548992786667115789731632498303447743670959503603421825600198794883356100452613683350956131851066062558112460754194191487525021<153>

140223365517185565727678098103<30>

1649269950972983817435779714815453794295135444638145347254954050487349512809937111135694102785335966557011384662754478476107<124>

Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=371081766
Step 1 took 1762ms
Step 2 took 1763ms
********** Factor found in step 2: 140223365517185565727678098103
Found probable prime factor of 30 digits: 140223365517185565727678098103
Composite cofactor 1649269950972983817435779714815453794295135444638145347254954050487349512809937111135694102785335966557011384662754478476107 has 124 digits

GMP-ECM 6.2.3

1649269950972983817435779714815453794295135444638145347254954050487349512809937111135694102785335966557011384662754478476107<124>

88147146408301369139391041708619379<35>
18710417956509840359693151996319010562396489738569251211333001859984774223269511276415433<89>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2298141709
Step 1 took 6677ms
Step 2 took 6506ms
********** Factor found in step 2: 88147146408301369139391041708619379
Found probable prime factor of 35 digits: 88147146408301369139391041708619379
Probable prime cofactor 18710417956509840359693151996319010562396489738569251211333001859984774223269511276415433 has 89 digits

GMP-ECM 6.2.3

1614584173295521612620709774060394698033981318355333249596154353707695937985462321239083109196960219470685009527980086991098901593300966910766041051385470925196684183702081713971<178>

12473611687190344931161094876100779<35>
129439990099547770747893296298555074749435694425093188552957857515390484225512162694140421663332392568603120460106190106886552801691977175780249<144>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3162191759
Step 1 took 75582ms
Step 2 took 43431ms
********** Factor found in step 2: 12473611687190344931161094876100779
Found probable prime factor of 35 digits: 12473611687190344931161094876100779
Probable prime cofactor 129439990099547770747893296298555074749435694425093188552957857515390484225512162694140421663332392568603120460106190106886552801691977175780249 has 144 digits

GMP-ECM 6.2.3

1170605595702538517511881966120266700559839493657785881078231287416681871428898391365870748579378765335714914884373641859017056912506601112640608769158586604752409910652123273<175>

4629139509810814304831331583603779671541599302571611<52>
252877579779482458984052905069389001131827632977158754757341544687755182100546737499248282003478847858553701093644254104043<123>

Number: 1
N=1170605595702538517511881966120266700559839493657785881078231287416681871428898391365870748579378765335714914884373641859017056912506601112640608769158586604752409910652123273
  ( 175 digits)
SNFS difficulty: 189 digits.
Divisors found:
 r1=4629139509810814304831331583603779671541599302571611 (pp52)
 r2=252877579779482458984052905069389001131827632977158754757341544687755182100546737499248282003478847858553701093644254104043 (pp123)
Version: Msieve-1.40
Total time: 266.84 hours.
Scaled time: 464.03 units (timescale=1.739).
Factorization parameters were as follows:
n: 1170605595702538517511881966120266700559839493657785881078231287416681871428898391365870748579378765335714914884373641859017056912506601112640608769158586604752409910652123273
m: 20000000000000000000000000000000000000
deg: 5
c5: 625
c0: 43
skew: 0.59
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5000000, 9200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1959685 x 1959910
Total sieving time: 260.20 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 5.96 hours.
Time per square root: 0.44 hours.
Prototype def-par.txt line would be:
snfs,189.000,5,0,0,0,0,0,0,0,0,10000000,10000000,28,28,54,54,2.5,2.5,100000
total time: 266.84 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

1181031716036301414842554972062203762025489926792484968731988372394864014669457934715868705801540387118987107935813623325656096769253124388918258344541<151>

6949751265601781580454214297242958195415109434363636167299<58>
169938702969398349192471588879539763049117087509846148076219257281337382004808102380561056159<93>

N=1181031716036301414842554972062203762025489926792484968731988372394864014669457934715868705801540387118987107935813623325656096769253124388918258344541
  ( 151 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=6949751265601781580454214297242958195415109434363636167299 (pp58)
 r2=169938702969398349192471588879539763049117087509846148076219257281337382004808102380561056159 (pp93)
Version: Msieve-1.40
Total time: 231.31 hours.
Scaled time: 440.65 units (timescale=1.905).
Factorization parameters were as follows:
n: 1181031716036301414842554972062203762025489926792484968731988372394864014669457934715868705801540387118987107935813623325656096769253124388918258344541
m: 100000000000000000000000000000000000000
deg: 5
c5: 2
c0: 43
skew: 1.85
# Murphy_E = 5.131e-11
type: snfs
lss: 1
rlim: 10400000
alim: 10400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 10400000/10400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5200000, 8800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1856019 x 1856244
Total sieving time: 226.76 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 3.77 hours.
Time per square root: 0.57 hours.
Prototype def-par.txt line would be:
snfs,190.000,5,0,0,0,0,0,0,0,0,10400000,10400000,28,28,54,54,2.5,2.5,100000
total time: 231.31 hours.
 --------- CPU info (if available) ----------

14784974795784052369633850724725964781646846390755973668542269406492484652986641632934948638885865549939547176891610109978996868287011571527574244718472061407<158>

182437988584920595348478442751536881<36>

81041097363896851635139153910353322447338093167097177372622957674235588559637145045594357974448319824468343940389640388047<122>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2331370588
Step 1 took 8814ms
Step 2 took 7706ms
********** Factor found in step 2: 182437988584920595348478442751536881
Found probable prime factor of 36 digits: 182437988584920595348478442751536881
Composite cofactor 81041097363896851635139153910353322447338093167097177372622957674235588559637145045594357974448319824468343940389640388047 has 122 digits

GMP-ECM 6.2.3

81041097363896851635139153910353322447338093167097177372622957674235588559637145045594357974448319824468343940389640388047<122>

62608943798682186480087386059316422223616461717<47>
1294401285932611933791054036245613168796755178042861603949573649334102305491<76>

~3 CPU-Days of sieving @ Core 2, 3.0Ghz

Msieve v. 1.44
Thu Jun 24 07:52:27 2010
random seeds: c3f2b7e2 4bcd3428
factoring 81041097363896851635139153910353322447338093167097177372622957674235588559637145045594357974448319824468343940389640388047 (122 digits)
searching for 15-digit factors
commencing number field sieve (122-digit input)
R0: -424489012076554258189685
R1:  12953842404551
A0: -712025133471518091308867343528
A1:  16461254698602935952215250
A2:  30242800481616169767
A3: -1395171926391242
A4: -1897931726
A5:  5880
skew 203296.09, size 9.930007e-12, alpha -5.789553, combined = 2.152297e-10

commencing relation filtering
estimated available RAM is 8010.2 MB
commencing duplicate removal, pass 1
read 10M relations
read 20M relations
found 3504946 hash collisions in 28548615 relations
added 823 free relations
commencing duplicate removal, pass 2
found 2629545 duplicates and 25919893 unique relations
memory use: 106.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 756.2 MB
keeping 29758075 ideals with weight <= 200, target excess is 148524
commencing in-memory singleton removal
begin with 25919893 relations and 29758075 unique ideals
reduce to 6444807 relations and 5961244 ideals in 21 passes
max relations containing the same ideal: 76
removing 1358980 relations and 1203342 ideals in 155638 cliques
commencing in-memory singleton removal
begin with 5085827 relations and 5961244 unique ideals
reduce to 4884662 relations and 4550192 ideals in 12 passes
max relations containing the same ideal: 62
removing 975280 relations and 819642 ideals in 155638 cliques
commencing in-memory singleton removal
begin with 3909382 relations and 4550192 unique ideals
reduce to 3766668 relations and 3583131 ideals in 11 passes
max relations containing the same ideal: 53
removing 115392 relations and 104143 ideals in 11249 cliques
commencing in-memory singleton removal
begin with 3651276 relations and 3583131 unique ideals
reduce to 3648884 relations and 3476590 ideals in 6 passes
max relations containing the same ideal: 53
relations with 0 large ideals: 801
relations with 1 large ideals: 9511
relations with 2 large ideals: 84925
relations with 3 large ideals: 363892
relations with 4 large ideals: 848034
relations with 5 large ideals: 1105830
relations with 6 large ideals: 817538
relations with 7+ large ideals: 418353
commencing 2-way merge
reduce to 2041886 relation sets and 1869592 unique ideals
commencing full merge
memory use: 216.7 MB
found 1029326 cycles, need 1007792
weight of 1007792 cycles is about 70889004 (70.34/cycle)
distribution of cycle lengths:
1 relations: 128298
2 relations: 114265
3 relations: 107907
4 relations: 97535
5 relations: 87932
6 relations: 76939
7 relations: 67459
8 relations: 58786
9 relations: 50975
10+ relations: 217696
heaviest cycle: 22 relations
commencing cycle optimization
start with 6207901 relations
pruned 132133 relations
memory use: 207.6 MB
distribution of cycle lengths:
1 relations: 128298
2 relations: 116481
3 relations: 111150
4 relations: 99416
5 relations: 89586
6 relations: 77933
7 relations: 68366
8 relations: 58972
9 relations: 50803
10+ relations: 206787
heaviest cycle: 21 relations
RelProcTime: 668
elapsed time 00:11:09
-> Doing matrix solving step...
=>nice -n 19  "../msieve" -s 120.dat -l ggnfs.log -i 120.ini -v -nf 120.fb -t 4 -nc2


Msieve v. 1.44
Thu Jun 24 08:03:37 2010
random seeds: 67d0bb8a 5ffb0bda
factoring 81041097363896851635139153910353322447338093167097177372622957674235588559637145045594357974448319824468343940389640388047 (122 digits)
searching for 15-digit factors
commencing number field sieve (122-digit input)
R0: -424489012076554258189685
R1:  12953842404551
A0: -712025133471518091308867343528
A1:  16461254698602935952215250
A2:  30242800481616169767
A3: -1395171926391242
A4: -1897931726
A5:  5880
skew 203296.09, size 9.930007e-12, alpha -5.789553, combined = 2.152297e-10

commencing linear algebra
read 1007792 cycles
cycles contain 3494635 unique relations
read 3494635 relations
using 20 quadratic characters above 536856294
building initial matrix
memory use: 436.8 MB
read 1007792 cycles
matrix is 1007606 x 1007792 (303.2 MB) with weight 96210944 (95.47/col)
sparse part has weight 68397425 (67.87/col)
filtering completed in 2 passes
matrix is 1005211 x 1005396 (303.0 MB) with weight 96101870 (95.59/col)
sparse part has weight 68360294 (67.99/col)
read 1005396 cycles
matrix is 1005211 x 1005396 (303.0 MB) with weight 96101870 (95.59/col)
sparse part has weight 68360294 (67.99/col)
saving the first 48 matrix rows for later
matrix is 1005163 x 1005396 (292.9 MB) with weight 76243838 (75.83/col)
sparse part has weight 66720851 (66.36/col)
matrix includes 64 packed rows
using block size 65536 for processor cache size 4096 kB
commencing Lanczos iteration (4 threads)
memory use: 306.0 MB
linear algebra at 0.1%, ETA 1h 6m005396 dimensions (0.1%, ETA 1h 6m)
linear algebra completed 1005163 of 1005396 dimensions (100.0%, ETA 0h 0m)
lanczos halted after 15897 iterations (dim = 1005163)
recovered 30 nontrivial dependencies
BLanczosTime: 4487
elapsed time 01:14:48
=>nice -n 19  "../msieve" -s 120.dat -l ggnfs.log -i 120.ini -v -nf 120.fb -t 4 -nc3


Msieve v. 1.44
Thu Jun 24 09:18:25 2010
random seeds: 46cdfd5b d7cfcc14
factoring 81041097363896851635139153910353322447338093167097177372622957674235588559637145045594357974448319824468343940389640388047 (122 digits)
searching for 15-digit factors
commencing number field sieve (122-digit input)
R0: -424489012076554258189685
R1:  12953842404551
A0: -712025133471518091308867343528
A1:  16461254698602935952215250
A2:  30242800481616169767
A3: -1395171926391242
A4: -1897931726
A5:  5880
skew 203296.09, size 9.930007e-12, alpha -5.789553, combined = 2.152297e-10

commencing square root phase
reading relations for dependency 1
read 502576 cycles
cycles contain 1746948 unique relations
read 1746948 relations
multiplying 1746948 relations
multiply complete, coefficients have about 75.49 million bits
initial square root is modulo 262109
reading relations for dependency 2
read 502474 cycles
cycles contain 1747614 unique relations
read 1747614 relations
multiplying 1747614 relations
multiply complete, coefficients have about 75.52 million bits
initial square root is modulo 263513
sqrtTime: 597
prp47 factor: 62608943798682186480087386059316422223616461717
prp76 factor: 1294401285932611933791054036245613168796755178042861603949573649334102305491
elapsed time 00:09:58

477774003799284931757027533443930044058200204000675666012749694678436957568955126173252976787042882398355584631203659863078083498304434616973<141>

82447159386326754116484683654188739<35>
5794911642262355293649161968101613871487413084485756959781626860950515783711706133185515504126589536132207<106>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1482413176
Step 1 took 23643ms
Step 2 took 9065ms
********** Factor found in step 2: 82447159386326754116484683654188739
Found probable prime factor of 35 digits: 82447159386326754116484683654188739

7735511638495417425618784626515181828246378626058955420003680120766022264783875350541744234450585561732431086184284827105964132594601549349<139>

81138414297630889430251145739989<32>
95337229664362344632451111019572229885524724831347194268019251865868739229410557616425622800014970494708241<107>

Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=144605729
Step 1 took 6113ms
Step 2 took 5316ms
********** Factor found in step 2: 81138414297630889430251145739989
Found probable prime factor of 32 digits: 81138414297630889430251145739989
Probable prime cofactor 95337229664362344632451111019572229885524724831347194268019251865868739229410557616425622800014970494708241 has 107 digits

GMP-ECM 6.2.1

47180938900684123614059919792403868836989856098136352913422977117244633168200047180938900684123614059919792403868836989856098136352913422977117244633168200047180938900684123614059919792403868837<194>

4830297726724849664432111078077719825109<40>

9767708238695844640979066239202354443960649371290018537019416802234300736463213550385464206052611393709860351340957430875026878358838457653530043363189393<154>

C194=P40*C154
C194=4830297726724849664432111078077719825109<40>*9767708238695844640979066239202354443960649371290018537019416802234300736463213550385464206052611393709860351340957430875026878358838457653530043363189393<154>

ECMNET

9767708238695844640979066239202354443960649371290018537019416802234300736463213550385464206052611393709860351340957430875026878358838457653530043363189393<154>

953330652376455530208975828779031260206838597953468162384904168716087<69>
10245876616205483894343180789084384680954012909179962197290396816284029215415795026039<86>

Number: 22227_197
N = 9767708238695844640979066239202354443960649371290018537019416802234300736463213550385464206052611393709860351340957430875026878358838457653530043363189393 (154 digits)
SNFS difficulty: 198 digits.
Divisors found:
r1=953330652376455530208975828779031260206838597953468162384904168716087 (pp69)
r2=10245876616205483894343180789084384680954012909179962197290396816284029215415795026039 (pp86)
Version: Msieve v. 1.51 (SVN 845)
Total time: 237.50 hours.
Factorization parameters were as follows:
n: 9767708238695844640979066239202354443960649371290018537019416802234300736463213550385464206052611393709860351340957430875026878358838457653530043363189393
m: 1000000000000000000000000000000000000000
deg: 5
c5: 200
c0: 43
skew: 0.74
# Murphy_E = 1.875e-11
type: snfs
lss: 1
rlim: 13600000
alim: 13600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13600000/13600000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 23639661
Relations: 4417762 relations
Pruned matrix : 2705735 x 2705960
Polynomial selection time: 0.00 hours.
Total sieving time: 231.40 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 5.77 hours.
time per square root: 0.18 hours.
Prototype def-par.txt line would be: snfs,198,5,0,0,0,0,0,0,0,0,13600000,13600000,28,28,55,55,2.5,2.5,100000
total time: 237.50 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

336228465577337442492617047947054737636543594403400148913137365915281507693388341157333008815819062555818333756436632764740457520304869998731356878283635096424930779<165>

9495221815967649823825283631807789139679<40>
35410280254002964652514245605142702250435398004045126473280542231838950963235248911640913662075543974165828409895794063520901<125>

Input number is 336228465577337442492617047947054737636543594403400148913137365915281507693388341157333008815819062555818333756436632764740457520304869998731356878283635096424930779 (165 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3686953100
Step 1 took 43331ms
Step 2 took 16553ms
********** Factor found in step 2: 9495221815967649823825283631807789139679
Found probable prime factor of 40 digits: 9495221815967649823825283631807789139679
Probable prime cofactor 354102802540... has 125 digits

322576020641972706302877554164604660713708913064209859124760804918641746437488561431324513986094863871011370553215853295417573007065639808150520269489150069649253071<165>

6014920557193778767942444218780484029918870308029847049184799713<64>
53629306916809622176183794898393111921198877313688635828390929078923658072264916946979345060814677167<101>

N=322576020641972706302877554164604660713708913064209859124760804918641746437488561431324513986094863871011370553215853295417573007065639808150520269489150069649253071
  ( 165 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=6014920557193778767942444218780484029918870308029847049184799713 (pp64)
 r2=53629306916809622176183794898393111921198877313688635828390929078923658072264916946979345060814677167 (pp101)
Version: Msieve v. 1.49
Total time:
Scaled time: 211.23 units (timescale=1.976).
Factorization parameters were as follows:
n: 322576020641972706302877554164604660713708913064209859124760804918641746437488561431324513986094863871011370553215853295417573007065639808150520269489150069649253071
m: 10000000000000000000000000000000000000000
deg: 5
c5: 2
c0: 43
skew: 1.85
type: snfs
lss: 1
rlim: 15300000
alim: 15300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 320000
Factor base limits: 15300000/15300000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7650000, 14370001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2916019 x 2916247
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,200.000,5,0,0,0,0,0,0,0,0,15300000,15300000,29,29,56,56,2.6,2.6,100000
total time:

158435655253848858054097529181231718582436913697023205051587720795784890508805381580608617189542296223686332502058811155491807456634982856904886477498525819219689697693484101<174>

76471826930257510096074164984745939660338222609285883839505495913<65>
2071817316439197357330523407071850669618425331045837204798757802520284103811466622350423046081686218288727677<109>

Number: n
N=158435655253848858054097529181231718582436913697023205051587720795784890508805381580608617189542296223686332502058811155491807456634982856904886477498525819219689697693484101  ( 174 digits)
SNFS difficulty: 201 digits.
Divisors found:

Tue Nov 16 10:08:02 2021  p65 factor: 76471826930257510096074164984745939660338222609285883839505495913
Tue Nov 16 10:08:02 2021  p109 factor: 2071817316439197357330523407071850669618425331045837204798757802520284103811466622350423046081686218288727677
Tue Nov 16 10:08:02 2021  elapsed time 01:47:58 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 2x10^201+43 = 2(200)7
#
n: 158435655253848858054097529181231718582436913697023205051587720795784890508805381580608617189542296223686332502058811155491807456634982856904886477498525819219689697693484101
m: 10000000000000000000000000000000000000000
deg: 5
c5: 20
c0: 43
skew: 1.17
# Murphy_E = 1.252e-11
type: snfs
lss: 1
rlim: 15900000
alim: 15900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15900000/15900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 11270974 hash collisions in 70886348 relations (62302860 unique)
Msieve: matrix is 2065866 x 2066093 (703.8 MB)

Sieving start time : 2021/11/15 17:57:45
Sieving end time  : 2021/11/16 08:18:23

Total sieving time: 14hrs 20min 38secs.

Total relation processing time: 1hrs 21min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 53sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,15900000,15900000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118892] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487280K reserved, 0K cma-reserved)
[    0.152618] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.150210] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

76628352490421455938697318007662835249042145593869731800766283524904214559386973180076628352490421455938697318007662835249042145593869731800766283524904214559386973180076628352490421455938697318007663<200>

1424951574461311597127852734082485835549892801096133061<55>
53776109914043937037629289992865279422604287917777908387781262564778012123295413586428926241223434747917732356679409227569810438092973968485707683<146>

Number: n
N=76628352490421455938697318007662835249042145593869731800766283524904214559386973180076628352490421455938697318007662835249042145593869731800766283524904214559386973180076628352490421455938697318007663
  ( 200 digits)
SNFS difficulty: 202 digits.
Divisors found:

Wed Sep  5 19:48:38 2012  prp55 factor: 1424951574461311597127852734082485835549892801096133061
Wed Sep  5 19:48:38 2012  prp146 factor: 53776109914043937037629289992865279422604287917777908387781262564778012123295413586428926241223434747917732356679409227569810438092973968485707683
Wed Sep  5 19:48:38 2012  elapsed time 06:54:53 (Msieve 1.44 - dependency 2)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.098).
Factorization parameters were as follows:
name: KA_22227_202
n: 76628352490421455938697318007662835249042145593869731800766283524904214559386973180076628352490421455938697318007662835249042145593869731800766283524904214559386973180076628352490421455938697318007663
m: 10000000000000000000000000000000000000000
#  c200, diff: 202.3
skew: 0.735
deg: 5
c5: 200
c0: 43
# Murphy_E = 1.16e-11
type: snfs
lss: 1
rlim: 16500000
alim: 16500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 16500000/16500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 8250000)
Primes: RFBsize:1061198, AFBsize:1060929,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10137340 hash collisions in 68878234 relations (60079310 unique)
Msieve: matrix is 2067245 x 2067471 (582.1 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,202,5,0,0,0,0,0,0,0,0,16500000,16500000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5662.33 BogoMIPS (lpj=2831168)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Total of 4 processors activated (22645.07 BogoMIPS).

1069265409317471850251517955906702315975413311178154052275316596121881286946461346322769525721981370188773461687953067802654237525548760373879343021947207158945768462337531803963018386553345918587201<199>

547913469134291980446815212842257<33>

1951522401898461163790532679709455812143758192837616553639126975494491546660785410915879584413836695216381336981829807487695511087652935996664815244576257097800818993<166>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1069204027
Step 1 took 12105ms
Step 2 took 7067ms
********** Factor found in step 2: 547913469134291980446815212842257
Found probable prime factor of 33 digits: 547913469134291980446815212842257
Composite cofactor 1951522401898461163790532679709455812143758192837616553639126975494491546660785410915879584413836695216381336981829807487695511087652935996664815244576257097800818993 has 166 digits

GMP-ECM 6.3

1951522401898461163790532679709455812143758192837616553639126975494491546660785410915879584413836695216381336981829807487695511087652935996664815244576257097800818993<166>

207975042239685948627532232524645770003307<42>
385383574802999540537607758816753221010785650932505765292439<60>
24348326617378631295680189132693848735523909550154569449388655141<65>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1551700717
Step 1 took 95842ms
Step 2 took 33175ms
********** Factor found in step 2: 207975042239685948627532232524645770003307
Found probable prime factor of 42 digits: 207975042239685948627532232524645770003307
Composite cofactor 9383445152276402526572128288921535533123650323993968414288555750938339105803256357374051458477327146906975429789156785778899 has 124 digits

Wed Sep 19 08:08:07 2012  commencing relation filtering
Wed Sep 19 08:08:07 2012  estimated available RAM is 48192.2 MB
Wed Sep 19 08:08:07 2012  commencing duplicate removal, pass 1
Wed Sep 19 08:11:08 2012  found 1432570 hash collisions in 12105132 relations
Wed Sep 19 08:11:29 2012  added 301 free relations
Wed Sep 19 08:11:29 2012  commencing duplicate removal, pass 2
Wed Sep 19 08:11:35 2012  found 1126144 duplicates and 10979289 unique relations
Wed Sep 19 08:11:35 2012  memory use: 49.3 MB
Wed Sep 19 08:11:35 2012  reading ideals above 720000
Wed Sep 19 08:11:35 2012  commencing singleton removal, initial pass
Wed Sep 19 08:14:49 2012  memory use: 344.5 MB
Wed Sep 19 08:14:49 2012  reading all ideals from disk
Wed Sep 19 08:14:50 2012  memory use: 319.3 MB
Wed Sep 19 08:14:51 2012  commencing in-memory singleton removal
Wed Sep 19 08:14:52 2012  begin with 10979289 relations and 11449219 unique ideals
Wed Sep 19 08:14:59 2012  reduce to 4954006 relations and 4483414 ideals in 16 passes
Wed Sep 19 08:14:59 2012  max relations containing the same ideal: 94
Wed Sep 19 08:15:01 2012  removing 1076587 relations and 908519 ideals in 168068 cliques
Wed Sep 19 08:15:03 2012  commencing in-memory singleton removal
Wed Sep 19 08:15:03 2012  begin with 3877419 relations and 4483414 unique ideals
Wed Sep 19 08:15:08 2012  reduce to 3718814 relations and 3409514 ideals in 10 passes
Wed Sep 19 08:15:08 2012  max relations containing the same ideal: 73
Wed Sep 19 08:15:10 2012  removing 808684 relations and 640616 ideals in 168068 cliques
Wed Sep 19 08:15:11 2012  commencing in-memory singleton removal
Wed Sep 19 08:15:12 2012  begin with 2910130 relations and 3409514 unique ideals
Wed Sep 19 08:15:13 2012  reduce to 2782071 relations and 2635122 ideals in 9 passes
Wed Sep 19 08:15:13 2012  max relations containing the same ideal: 59
Wed Sep 19 08:15:14 2012  removing 102945 relations and 90453 ideals in 12492 cliques
Wed Sep 19 08:15:15 2012  commencing in-memory singleton removal
Wed Sep 19 08:15:15 2012  begin with 2679126 relations and 2635122 unique ideals
Wed Sep 19 08:15:16 2012  reduce to 2676637 relations and 2542163 ideals in 6 passes
Wed Sep 19 08:15:16 2012  max relations containing the same ideal: 57
Wed Sep 19 08:15:18 2012  relations with 0 large ideals: 527
Wed Sep 19 08:15:18 2012  relations with 1 large ideals: 2888
Wed Sep 19 08:15:18 2012  relations with 2 large ideals: 36745
Wed Sep 19 08:15:18 2012  relations with 3 large ideals: 191654
Wed Sep 19 08:15:18 2012  relations with 4 large ideals: 513621
Wed Sep 19 08:15:18 2012  relations with 5 large ideals: 777175
Wed Sep 19 08:15:18 2012  relations with 6 large ideals: 684667
Wed Sep 19 08:15:18 2012  relations with 7+ large ideals: 469360
Wed Sep 19 08:15:18 2012  commencing 2-way merge
Wed Sep 19 08:15:20 2012  reduce to 1618690 relation sets and 1484216 unique ideals
Wed Sep 19 08:15:20 2012  commencing full merge
Wed Sep 19 08:15:49 2012  memory use: 169.7 MB
Wed Sep 19 08:15:49 2012  found 804124 cycles, need 786416
Wed Sep 19 08:15:51 2012  weight of 786416 cycles is about 55109724 (70.08/cycle)
Wed Sep 19 08:15:51 2012  distribution of cycle lengths:
Wed Sep 19 08:15:51 2012  1 relations: 93382
Wed Sep 19 08:15:51 2012  2 relations: 85851
Wed Sep 19 08:15:51 2012  3 relations: 86919
Wed Sep 19 08:15:51 2012  4 relations: 80723
Wed Sep 19 08:15:51 2012  5 relations: 75824
Wed Sep 19 08:15:51 2012  6 relations: 66188
Wed Sep 19 08:15:51 2012  7 relations: 56923
Wed Sep 19 08:15:51 2012  8 relations: 49845
Wed Sep 19 08:15:51 2012  9 relations: 41622
Wed Sep 19 08:15:51 2012  10+ relations: 149139
Wed Sep 19 08:15:51 2012  heaviest cycle: 20 relations
Wed Sep 19 08:15:51 2012  commencing cycle optimization
Wed Sep 19 08:15:56 2012  start with 4656048 relations
Wed Sep 19 08:16:06 2012  pruned 113395 relations
Wed Sep 19 08:16:07 2012  memory use: 154.2 MB
Wed Sep 19 08:16:07 2012  distribution of cycle lengths:
Wed Sep 19 08:16:07 2012  1 relations: 93382
Wed Sep 19 08:16:07 2012  2 relations: 87895
Wed Sep 19 08:16:07 2012  3 relations: 89789
Wed Sep 19 08:16:07 2012  4 relations: 82887
Wed Sep 19 08:16:07 2012  5 relations: 77605
Wed Sep 19 08:16:07 2012  6 relations: 67232
Wed Sep 19 08:16:07 2012  7 relations: 57855
Wed Sep 19 08:16:07 2012  8 relations: 49774
Wed Sep 19 08:16:07 2012  9 relations: 41359
Wed Sep 19 08:16:07 2012  10+ relations: 138638
Wed Sep 19 08:16:07 2012  heaviest cycle: 20 relations
Wed Sep 19 08:16:08 2012  RelProcTime: 481
Wed Sep 19 08:16:08 2012  
Wed Sep 19 08:16:08 2012  commencing linear algebra
Wed Sep 19 08:16:09 2012  read 786416 cycles
Wed Sep 19 08:16:13 2012  cycles contain 2577325 unique relations
Wed Sep 19 08:16:56 2012  read 2577325 relations
Wed Sep 19 08:17:00 2012  using 20 quadratic characters above 134217324
Wed Sep 19 08:17:15 2012  building initial matrix
Wed Sep 19 08:18:03 2012  memory use: 330.7 MB
Wed Sep 19 08:18:04 2012  read 786416 cycles
Wed Sep 19 08:18:04 2012  matrix is 786232 x 786416 (234.9 MB) with weight 74309752 (94.49/col)
Wed Sep 19 08:18:04 2012  sparse part has weight 52937450 (67.31/col)
Wed Sep 19 08:18:25 2012  filtering completed in 2 passes
Wed Sep 19 08:18:25 2012  matrix is 784929 x 785113 (234.8 MB) with weight 74249099 (94.57/col)
Wed Sep 19 08:18:25 2012  sparse part has weight 52914627 (67.40/col)
Wed Sep 19 08:18:28 2012  matrix starts at (0, 0)
Wed Sep 19 08:18:29 2012  matrix is 784929 x 785113 (234.8 MB) with weight 74249099 (94.57/col)
Wed Sep 19 08:18:29 2012  sparse part has weight 52914627 (67.40/col)
Wed Sep 19 08:18:29 2012  saving the first 48 matrix rows for later
Wed Sep 19 08:18:29 2012  matrix includes 64 packed rows
Wed Sep 19 08:18:29 2012  matrix is 784881 x 785113 (227.3 MB) with weight 59168912 (75.36/col)
Wed Sep 19 08:18:29 2012  sparse part has weight 51741974 (65.90/col)
Wed Sep 19 08:18:29 2012  using block size 65536 for processor cache size 12288 kB
Wed Sep 19 08:18:47 2012  commencing Lanczos iteration (16 threads)
Wed Sep 19 08:18:47 2012  memory use: 266.6 MB
Wed Sep 19 08:18:53 2012  checkpointing every 1220000 dimensions
Wed Sep 19 08:18:56 2012  linear algebra at 0.4%, ETA 0h38m
Wed Sep 19 08:53:18 2012  lanczos halted after 12414 iterations (dim = 784880)
Wed Sep 19 08:53:20 2012  recovered 30 nontrivial dependencies
Wed Sep 19 08:53:20 2012  BLanczosTime: 2232
Wed Sep 19 08:53:20 2012  
Wed Sep 19 08:53:20 2012  commencing square root phase
Wed Sep 19 08:53:20 2012  reading relations for dependency 1
Wed Sep 19 08:53:20 2012  read 392873 cycles
Wed Sep 19 08:53:22 2012  cycles contain 1288260 unique relations
Wed Sep 19 08:53:49 2012  read 1288260 relations
Wed Sep 19 08:53:57 2012  multiplying 1288260 relations
Wed Sep 19 08:55:15 2012  multiply complete, coefficients have about 50.86 million bits
Wed Sep 19 08:55:16 2012  initial square root is modulo 20077133
Wed Sep 19 08:57:17 2012  sqrtTime: 237

prp65 = 24348326617378631295680189132693848735523909550154569449388655141
prp60 = 385383574802999540537607758816753221010785650932505765292439

NFS elapsed time = 27088.1122 seconds.

16932616580053835283806113936015538685271043620361357612790225131813985514531806732038321118797744742059696439525011389658298611792766886478240550196816768558039417029198404490100307<182>

41777375593756611072216397380287675684728281553<47>
405305894384239818481324304695162942769427896737814413511939377109355364757341319975747010083947655031249369068406332653916267257723619<135>

GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-assert] [ECM]
Input number is 16932616580053835283806113936015538685271043620361357612790225131813985514531806732038321118797744742059696439525011389658298611792766886478240550196816768558039417029198404490100307 (182 digits)
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:3420239336
Step 1 took 83604ms
Step 2 took 26400ms
********** Factor found in step 2: 41777375593756611072216397380287675684728281553
Found prime factor of 47 digits: 41777375593756611072216397380287675684728281553
Prime cofactor 405305894384239818481324304695162942769427896737814413511939377109355364757341319975747010083947655031249369068406332653916267257723619 has 135 digits

429310401039647415160073571680652435939286885615619880609715295152020943365482744727158233724102123104869667911169535188082288289821154778324231217187528382646710644607534932238640478683087562433<195>

2152782471963298355083260939545021646605547596707<49>
6989124141759692235205029272424131458259268910240788229826968877<64>
28533070347093301219608596899436040225929140494096274942644673608894257373209231447<83>

Number: n
N=429310401039647415160073571680652435939286885615619880609715295152020943365482744727158233724102123104869667911169535188082288289821154778324231217187528382646710644607534932238640478683087562433
  ( 195 digits)
SNFS difficulty: 207 digits.
Divisors found:

Tue Nov 12 00:50:39 2013  prp49 factor: 2152782471963298355083260939545021646605547596707
Tue Nov 12 00:50:39 2013  prp64 factor: 6989124141759692235205029272424131458259268910240788229826968877
Tue Nov 12 00:50:39 2013  prp83 factor: 28533070347093301219608596899436040225929140494096274942644673608894257373209231447
Tue Nov 12 00:50:39 2013  elapsed time 23:20:10 (Msieve 1.44 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.817).
Factorization parameters were as follows:
#
#  2(206)7
#
#  c195, diff: 207.3
#
skew: 0.735
n: 429310401039647415160073571680652435939286885615619880609715295152020943365482744727158233724102123104869667911169535188082288289821154778324231217187528382646710644607534932238640478683087562433
m: 100000000000000000000000000000000000000000
deg: 5
c5: 200
c0: 43
# Murphy_E = 7.145e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 22300000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 5869956 hash collisions in 42993571 relations (38583864 unique)
Msieve: matrix is 3556983 x 3557209 (1013.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 20hrs 41min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 2hrs 17min 17sec.

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) ----------

27739182420082492364765006190825574996086205536132331940270904867250229832811758528587024092784196434917685135559301189931784589306670680048741643<146>

2724395971824728970811142395563288008777<40>
10181773393793236112765356206311099549139193150853986509027089794828904802268239432433229772729296782369459<107>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1152149102
Step 1 took 24040ms
Step 2 took 14430ms
********** Factor found in step 2: 2724395971824728970811142395563288008777
Found probable prime factor of 40 digits: 2724395971824728970811142395563288008777
Probable prime cofactor 10181773393793236112765356206311099549139193150853986509027089794828904802268239432433229772729296782369459 has 107 digits

GMP-ECM 6.3

49409379837067786920539007854699988524436779582842086023387032779424053877570570529679978179857569536291314995297931127625555746255251195794330145905627964424519<161>

16332803246499658666214336519663336796300663817<47>
3025162251168175150197260740893013988159373443509701982124970160366374408272011137826619075530071744045817628403407<115>

Z:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:2480047558 43e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 49409379837067786920539007854699988524436779582842086023387032779424053877570570529679978179857569536291314995297931127625555746255251195794330145905627964424519 (161 digits)
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:2480047558
Step 1 took 50843ms
Step 2 took 33563ms
********** Factor found in step 2: 16332803246499658666214336519663336796300663817
Found probable prime factor of 47 digits: 16332803246499658666214336519663336796300663817
Probable prime cofactor 3025162251168175150197260740893013988159373443509701982124970160366374408272011137826619075530071744045817628403407 has 115 digits

74957826852667018218874605674982113188567282332777521047220807393240378132253340964040106934835788014768191046512455929482674810084975940411525965203827196723443472616219299616553236735181868301346954669629<206>

24258780940957541205368264557473649266893<41>
3089925542223404371558491785094799551907453951227655999783077091889024986941012619110780961445688494912845234368617862489602632561499341303583682900643238392334095153<166>

#
# N = 2x10^212+43 = 2(211)7
#
n: 74957826852667018218874605674982113188567282332777521047220807393240378132253340964040106934835788014768191046512455929482674810084975940411525965203827196723443472616219299616553236735181868301346954669629
m: 100000000000000000000000000000000000
deg: 6
c6: 200
c0: 43
skew: 0.77
# Murphy_E = 4.557e-12
type: snfs
lss: 1
rlim: 24000000
alim: 24000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6



GMP-ECM 6.2.3 [powered by GMP 6.1.2] [ECM]
Input number is 74957826852667018218874605674982113188567282332777521047220807393240378132253340964040106934835788014768191046512455929482674810084975940411525965203827196723443472616219299616553236735181868301346954669629 (206 digits)
Using B1=50070000, B2=288591693406, polynomial Dickson(12), sigma=2574522810
Step 1 took 261622ms
Step 2 took 64991ms
********** Factor found in step 2: 24258780940957541205368264557473649266893
Found probable prime factor of 41 digits: 24258780940957541205368264557473649266893
Probable prime cofactor 308992554222340437155849178509479955190745395122765599978307709188902498694101261911078096144568849491284523436861786248960263256149934130358368290064323839233409515 3 has 166 digits

21189323922245618871060090486222859832674935551624837640313470655871074775839961684358143373697464123960088707199487637005474990537609178432680337130615256522582667731666758655395170059221759187749069<200>

186933691750371022809285006848031949559817749497333481<54>
113352086099821877944787438767794908507634473813747469011768860385497846555632661266292144821208570473618817694085991485916191826541001353678228549<147>

Number: n
N=21189323922245618871060090486222859832674935551624837640313470655871074775839961684358143373697464123960088707199487637005474990537609178432680337130615256522582667731666758655395170059221759187749069  ( 200 digits)
SNFS difficulty: 216 digits.
Divisors found:

Wed Oct 28 08:12:29 2020  p54 factor: 186933691750371022809285006848031949559817749497333481
Wed Oct 28 08:12:29 2020  p147 factor: 113352086099821877944787438767794908507634473813747469011768860385497846555632661266292144821208570473618817694085991485916191826541001353678228549
Wed Oct 28 08:12:29 2020  elapsed time 04:52:57 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 2x10^215+43 = 2(214)7
#
n: 21189323922245618871060090486222859832674935551624837640313470655871074775839961684358143373697464123960088707199487637005474990537609178432680337130615256522582667731666758655395170059221759187749069
m: 1000000000000000000000000000000000000
deg: 6
c6: 1
c0: 215
skew: 2.45
# Murphy_E = 4.261e-12
type: snfs
lss: 1
rlim: 28000000
alim: 28000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 28000000/28000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 48400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8571852 hash collisions in 56294530 relations (50090244 unique)
Msieve: matrix is 3429898 x 3430123 (1200.2 MB)

Sieving start time: 2020/10/27 10:49:40
Sieving end time  : 2020/10/28 03:18:38

Total sieving time: 16hrs 28min 58secs.

Total relation processing time: 4hrs 27min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 33sec.

Prototype def-par.txt line would be:
snfs,216,6,0,0,0,0,0,0,0,0,28000000,28000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118294] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16242460K/16727236K available (14339K kernel code, 2398K rwdata, 4956K rodata, 2716K init, 4988K bss, 484776K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798568)
[    0.152036] smpboot: Total of 16 processors activated (102388.54 BogoMIPS)

272220727478624191657682644261148782573843267941876198475657107274720459777781616906697408814752726076109792759058416689385562057804879969961673160422023831921012931334292235473629154185058778628348182359479<207>

1529260148664742038668760193962635005562660911<46>
178008122238921189477687417962415454444967908670961531427364909928205920254376639342834626761559341262136435964190993024248309337490427259182817892565117108234489<162>

#
# N = 2x10^216+43 = 2(215)7
#
n: 272220727478624191657682644261148782573843267941876198475657107274720459777781616906697408814752726076109792759058416689385562057804879969961673160422023831921012931334292235473629154185058778628348182359479
m: 1000000000000000000000000000000000000
deg: 6
c6: 2
c0: 43
skew: 1.67
# Murphy_E = 4.714e-12
type: snfs
lss: 1
rlim: 28000000
alim: 28000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6



GMP-ECM 6.2.3 [powered by GMP 6.1.2] [ECM]
Input number is 272220727478624191657682644261148782573843267941876198475657107274720459777781616906697408814752726076109792759058416689385562057804879969961673160422023831921012931334292235473629154185058778628348182359479 (207 digits)
Using B1=200180000, B2=2383901369866, polynomial Dickson(30), sigma=3342205082
Step 1 took 1123003ms
Step 2 took 272896ms
********** Factor found in step 2: 1529260148664742038668760193962635005562660911
Found probable prime factor of 46 digits: 1529260148664742038668760193962635005562660911
Probable prime cofactor 178008122238921189477687417962415454444967908670961531427364909928205920254376639342834626761559341262136435964190993024248309337490427259182817892565117108234489 has 162 digits

59284472615809906616429485674245502701166487733730555860360998889360337533459478265209108489669264939047875929698890910970540870667100247883062270339782017869749178804681848201721330025061<188>

2166627703676083923426809771721085063849<40>
27362556342846928958136004471337078674106863928944845735275080272923634660664137157898734868323409090589569747328436240445990622162786487066078282589<149>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3964795281
Step 1 took 33466ms
Step 2 took 12150ms
********** Factor found in step 2: 2166627703676083923426809771721085063849
Found probable prime factor of 40 digits: 2166627703676083923426809771721085063849

166221973332044207555172938718756981632508384474166887942164084934351894223683052248580569701288901907687425549715479771068218199893805648446311662025398598270571425130402352941892850617<186>

7691916977655837387032018056818223062387377346585141296239594526172317<70>
21609954165509136082473833576517743329883331434290131748283936349523583227342517710496367320139008783576400203229901<116>

Number: 22227_220
N = 166221973332044207555172938718756981632508384474166887942164084934351894223683052248580569701288901907687425549715479771068218199893805648446311662025398598270571425130402352941892850617 (186 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=7691916977655837387032018056818223062387377346585141296239594526172317 (pp70)
r2=21609954165509136082473833576517743329883331434290131748283936349523583227342517710496367320139008783576400203229901 (pp116)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 90.72 hours.
Factorization parameters were as follows:
n: 166221973332044207555172938718756981632508384474166887942164084934351894223683052248580569701288901907687425549715479771068218199893805648446311662025398598270571425130402352941892850617
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 2
c0: 43
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 67108864
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/67108864
Large primes per side: 3
Large prime bits: 29/26
Total raw relations: 19874538
Relations: 8236358 relations
Total pre-computation time approximately 700 CPU-days.
Pre-computation saved approximately 13 G rational relations.
Total batch smoothness checking time: 44.12 hours.
Total relation processing time: 0.24 hours.
Pruned matrix : 6957416 x 6957642
Matrix solve time: 46.03 hours.
time per square root: 0.32 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,67108864,29,26,58,52,2.8,2.8,100000
total time: 90.72 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-8-6.2.9200
processors: 8, speed: 3.50GHz

GGNFS, NFS_Factory

14317566117025919250456753675905689234714965074069584198737668684899505568788340266946341023340911<98>

260765819943038559999716829257796436543860708341<48>
54905838963685635265587886077703795179105521810771<50>

N = 14317566117025919250456753675905689234714965074069584198737668684899505568788340266946341023340911 (98 digits)
Divisors found:
r1=260765819943038559999716829257796436543860708341 (pp48)
r2=54905838963685635265587886077703795179105521810771 (pp50)
Version: Msieve v. 1.48
Total time: 1.33 hours.
Factorization parameters were as follows:
n: 14317566117025919250456753675905689234714965074069584198737668684899505568788340266946341023340911
Y0: -494197473737386917795420
Y1: 10175716436377
c0: 25746643471889451261126109351
c1: -11538449048931422660678
c2: -8557112775673255
c3: 1499794694
c4: 240
skew: 4300379.69
type: gnfs
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Sieved algebraic special-q in [0, 0)
Total raw relations: 4153376
Relations: 335094 relations
Pruned matrix : 194992 x 195227
Polynomial selection time: 0.00 hours.
Total sieving time: 1.22 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: gnfs,97,4,58,1500,0.003,0.4,220,15,10000,2000,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 1.33 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

2053972688643154292319259968042477357124602869012839661567907346096755771963797221713708626692359831832397497010104509956522050308938858941562321081623<151>

390432381676170978552184302124524363647027565611<48>
5260764181047724697014665638180723564938381005766594091050223222399102761379276717768931569257735581893<103>

Number: 22227_223
N = 2053972688643154292319259968042477357124602869012839661567907346096755771963797221713708626692359831832397497010104509956522050308938858941562321081623 (151 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=390432381676170978552184302124524363647027565611 (pp48)
r2=5260764181047724697014665638180723564938381005766594091050223222399102761379276717768931569257735581893 (pp103)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 51.62 hours.
Factorization parameters were as follows:
n: 2053972688643154292319259968042477357124602869012839661567907346096755771963797221713708626692359831832397497010104509956522050308938858941562321081623
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 2000
c0: 43
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
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 51039833
Relations: 9549924 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 27.38 hours.
Total relation processing time: 0.56 hours.
Pruned matrix : 8168499 x 8168745
Matrix solve time: 23.36 hours.
time per square root: 0.32 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 51.62 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

1635615940840085319406331670066254144606788663725600212689196465145223301944257060364460662920224027290656200545866765460618359235707121939877312560350872073383401141484821<172>

1079904203593280137267025408996350338937<40>

1514593549499785630943921428048001355955451755977548791216126792954489368030796845018909017967383471662344438453949860990223973412733<133>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3800711408
Step 1 took 85498ms
Step 2 took 28565ms
********** Factor found in step 2: 1079904203593280137267025408996350338937
Found probable prime factor of 40 digits: 1079904203593280137267025408996350338937

1514593549499785630943921428048001355955451755977548791216126792954489368030796845018909017967383471662344438453949860990223973412733<133>

3156627422978985124813642600973200704363064886107027<52>
479813847676209856922833581850619918596809425366751996402482131942894549122568879<81>

Tue Sep 25 12:14:42 2012  commencing relation filtering
Tue Sep 25 12:14:42 2012  estimated available RAM is 48158.0 MB
Tue Sep 25 12:14:42 2012  commencing duplicate removal, pass 1
Tue Sep 25 12:16:51 2012  found 920975 hash collisions in 9592787 relations
Tue Sep 25 12:17:13 2012  added 62967 free relations
Tue Sep 25 12:17:13 2012  commencing duplicate removal, pass 2
Tue Sep 25 12:17:17 2012  found 698814 duplicates and 8956940 unique relations
Tue Sep 25 12:17:17 2012  memory use: 34.6 MB
Tue Sep 25 12:17:17 2012  reading ideals above 100000
Tue Sep 25 12:17:17 2012  commencing singleton removal, initial pass
Tue Sep 25 12:19:40 2012  memory use: 344.5 MB
Tue Sep 25 12:19:40 2012  reading all ideals from disk
Tue Sep 25 12:19:40 2012  memory use: 341.4 MB
Tue Sep 25 12:19:41 2012  keeping 10921789 ideals with weight <= 200, target excess is 49769
Tue Sep 25 12:19:42 2012  commencing in-memory singleton removal
Tue Sep 25 12:19:43 2012  begin with 8956940 relations and 10921789 unique ideals
Tue Sep 25 12:19:47 2012  reduce to 169 relations and 0 ideals in 29 passes
Tue Sep 25 12:19:47 2012  max relations containing the same ideal: 0
Tue Sep 25 14:55:57 2012  
Tue Sep 25 14:55:57 2012  commencing relation filtering
Tue Sep 25 14:55:57 2012  estimated available RAM is 48158.0 MB
Tue Sep 25 14:55:57 2012  commencing duplicate removal, pass 1
Tue Sep 25 14:58:39 2012  found 1349703 hash collisions in 12049138 relations
Tue Sep 25 14:59:02 2012  added 223 free relations
Tue Sep 25 14:59:02 2012  commencing duplicate removal, pass 2
Tue Sep 25 14:59:08 2012  found 1026732 duplicates and 11022629 unique relations
Tue Sep 25 14:59:08 2012  memory use: 49.3 MB
Tue Sep 25 14:59:08 2012  reading ideals above 720000
Tue Sep 25 14:59:08 2012  commencing singleton removal, initial pass
Tue Sep 25 15:01:57 2012  memory use: 344.5 MB
Tue Sep 25 15:01:57 2012  reading all ideals from disk
Tue Sep 25 15:01:57 2012  memory use: 337.9 MB
Tue Sep 25 15:01:58 2012  commencing in-memory singleton removal
Tue Sep 25 15:01:59 2012  begin with 11022629 relations and 11727727 unique ideals
Tue Sep 25 15:02:07 2012  reduce to 4929087 relations and 4714136 ideals in 19 passes
Tue Sep 25 15:02:07 2012  max relations containing the same ideal: 95
Tue Sep 25 15:02:09 2012  removing 447390 relations and 407413 ideals in 39977 cliques
Tue Sep 25 15:02:10 2012  commencing in-memory singleton removal
Tue Sep 25 15:02:10 2012  begin with 4481697 relations and 4714136 unique ideals
Tue Sep 25 15:02:12 2012  reduce to 4450253 relations and 4274927 ideals in 9 passes
Tue Sep 25 15:02:12 2012  max relations containing the same ideal: 91
Tue Sep 25 15:02:14 2012  removing 327483 relations and 287506 ideals in 39977 cliques
Tue Sep 25 15:02:15 2012  commencing in-memory singleton removal
Tue Sep 25 15:02:15 2012  begin with 4122770 relations and 4274927 unique ideals
Tue Sep 25 15:02:17 2012  reduce to 4103717 relations and 3968177 ideals in 9 passes
Tue Sep 25 15:02:17 2012  max relations containing the same ideal: 86
Tue Sep 25 15:02:22 2012  relations with 0 large ideals: 466
Tue Sep 25 15:02:22 2012  relations with 1 large ideals: 1366
Tue Sep 25 15:02:22 2012  relations with 2 large ideals: 21223
Tue Sep 25 15:02:22 2012  relations with 3 large ideals: 140199
Tue Sep 25 15:02:22 2012  relations with 4 large ideals: 493945
Tue Sep 25 15:02:22 2012  relations with 5 large ideals: 990995
Tue Sep 25 15:02:22 2012  relations with 6 large ideals: 1182747
Tue Sep 25 15:02:22 2012  relations with 7+ large ideals: 1272776
Tue Sep 25 15:02:22 2012  commencing 2-way merge
Tue Sep 25 15:02:25 2012  reduce to 2419139 relation sets and 2283599 unique ideals
Tue Sep 25 15:02:25 2012  commencing full merge
Tue Sep 25 15:03:01 2012  memory use: 254.9 MB
Tue Sep 25 15:03:02 2012  found 1221291 cycles, need 1203799
Tue Sep 25 15:03:03 2012  weight of 1203799 cycles is about 84483864 (70.18/cycle)
Tue Sep 25 15:03:03 2012  distribution of cycle lengths:
Tue Sep 25 15:03:03 2012  1 relations: 151004
Tue Sep 25 15:03:03 2012  2 relations: 152242
Tue Sep 25 15:03:03 2012  3 relations: 152773
Tue Sep 25 15:03:03 2012  4 relations: 134253
Tue Sep 25 15:03:03 2012  5 relations: 114171
Tue Sep 25 15:03:03 2012  6 relations: 96962
Tue Sep 25 15:03:03 2012  7 relations: 80804
Tue Sep 25 15:03:03 2012  8 relations: 66629
Tue Sep 25 15:03:03 2012  9 relations: 54460
Tue Sep 25 15:03:03 2012  10+ relations: 200501
Tue Sep 25 15:03:03 2012  heaviest cycle: 21 relations
Tue Sep 25 15:03:04 2012  commencing cycle optimization
Tue Sep 25 15:03:11 2012  start with 6728540 relations
Tue Sep 25 15:03:21 2012  pruned 134987 relations
Tue Sep 25 15:03:21 2012  memory use: 232.6 MB
Tue Sep 25 15:03:21 2012  distribution of cycle lengths:
Tue Sep 25 15:03:21 2012  1 relations: 151004
Tue Sep 25 15:03:21 2012  2 relations: 155594
Tue Sep 25 15:03:21 2012  3 relations: 157906
Tue Sep 25 15:03:21 2012  4 relations: 136443
Tue Sep 25 15:03:21 2012  5 relations: 116031
Tue Sep 25 15:03:21 2012  6 relations: 97277
Tue Sep 25 15:03:21 2012  7 relations: 80737
Tue Sep 25 15:03:21 2012  8 relations: 65779
Tue Sep 25 15:03:21 2012  9 relations: 53682
Tue Sep 25 15:03:21 2012  10+ relations: 189346
Tue Sep 25 15:03:21 2012  heaviest cycle: 20 relations
Tue Sep 25 15:03:23 2012  RelProcTime: 446
Tue Sep 25 15:03:23 2012  
Tue Sep 25 15:03:23 2012  commencing linear algebra
Tue Sep 25 15:03:24 2012  read 1203799 cycles
Tue Sep 25 15:03:29 2012  cycles contain 3963910 unique relations
Tue Sep 25 15:04:24 2012  read 3963910 relations
Tue Sep 25 15:04:29 2012  using 20 quadratic characters above 134217200
Tue Sep 25 15:04:50 2012  building initial matrix
Tue Sep 25 15:05:59 2012  memory use: 510.5 MB
Tue Sep 25 15:06:01 2012  read 1203799 cycles
Tue Sep 25 15:06:01 2012  matrix is 1203620 x 1203799 (361.8 MB) with weight 114099204 (94.78/col)
Tue Sep 25 15:06:01 2012  sparse part has weight 81609683 (67.79/col)
Tue Sep 25 15:06:28 2012  filtering completed in 2 passes
Tue Sep 25 15:06:29 2012  matrix is 1200116 x 1200295 (361.5 MB) with weight 113954698 (94.94/col)
Tue Sep 25 15:06:29 2012  sparse part has weight 81564525 (67.95/col)
Tue Sep 25 15:06:32 2012  matrix starts at (0, 0)
Tue Sep 25 15:06:32 2012  matrix is 1200116 x 1200295 (361.5 MB) with weight 113954698 (94.94/col)
Tue Sep 25 15:06:32 2012  sparse part has weight 81564525 (67.95/col)
Tue Sep 25 15:06:32 2012  saving the first 48 matrix rows for later
Tue Sep 25 15:06:32 2012  matrix includes 64 packed rows
Tue Sep 25 15:06:33 2012  matrix is 1200068 x 1200295 (349.8 MB) with weight 90677809 (75.55/col)
Tue Sep 25 15:06:33 2012  sparse part has weight 79702063 (66.40/col)
Tue Sep 25 15:06:33 2012  using block size 65536 for processor cache size 12288 kB
Tue Sep 25 15:06:54 2012  commencing Lanczos iteration (16 threads)
Tue Sep 25 15:06:54 2012  memory use: 411.8 MB
Tue Sep 25 15:06:59 2012  linear algebra at 0.1%, ETA 0h52m
Tue Sep 25 15:07:01 2012  checkpointing every 1220000 dimensions
Tue Sep 25 16:12:20 2012  lanczos halted after 18981 iterations (dim = 1200067)
Tue Sep 25 16:12:24 2012  recovered 31 nontrivial dependencies
Tue Sep 25 16:12:24 2012  BLanczosTime: 4141
Tue Sep 25 16:12:24 2012  
Tue Sep 25 16:12:24 2012  commencing square root phase
Tue Sep 25 16:12:24 2012  reading relations for dependency 1
Tue Sep 25 16:12:24 2012  read 599553 cycles
Tue Sep 25 16:12:27 2012  cycles contain 1982304 unique relations
Tue Sep 25 16:12:55 2012  read 1982304 relations
Tue Sep 25 16:13:05 2012  multiplying 1982304 relations
Tue Sep 25 16:15:33 2012  multiply complete, coefficients have about 92.22 million bits
Tue Sep 25 16:15:34 2012  initial square root is modulo 4165157
Tue Sep 25 16:18:46 2012  sqrtTime: 382

prp52 = 3156627422978985124813642600973200704363064886107027
prp81 = 479813847676209856922833581850619918596809425366751996402482131942894549122568879
NFS elapsed time = 57064.3740 seconds.

3834692496862690732487518950392828820490744917021372975614110094182622810576650484820419047557158669093626746396281670645866277349300807233834078168174403997<157>

85543442450829506938266626774833511911082689771596806285335114246946014172081834366514204795969863882198979653048212000321329891474016568062136062591835744902818313752503475914904373754628507366446320201777<206>

107312021885936539538177010983370091<36>

797146870848774404079271963062888037832899458239602366830731871950861612103357791009593802242909738686510827295319576820245468129234765280810187663741406628487899462382547<171>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2412564732
Step 1 took 12512ms
Step 2 took 8424ms
********** Factor found in step 2: 107312021885936539538177010983370091
Found probable prime factor of 36 digits: 107312021885936539538177010983370091
Composite cofactor 797146870848774404079271963062888037832899458239602366830731871950861612103357791009593802242909738686510827295319576820245468129234765280810187663741406628487899462382547 has 171 digits

GMP-ECM 6.3

4118793318168815027810790495454919013950482617664197643657964368561549717912444599785750304994349054257816682209939570423036289737847404296780132551789304535896581437513883027846374965806169814717<196>

551511793250378584285304751123183684876917512442965603029955813058508744831388500025411244419689595792156241276203459149707893820719261091100792611008806398516058922491997675794217449049836922873<195>

110410412854316938054232333759277491<36>
2270959417895104095441066570950803049<37>
2199557888582773494196457986443410502294936322879240467752720211299049506292004568526426019961476059347878481751902742203947<124>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2139097593
Step 1 took 12043ms
Step 2 took 6927ms
********** Factor found in step 2: 110410412854316938054232333759277491
Found probable prime factor of 36 digits: 110410412854316938054232333759277491
Composite cofactor 4995106702282519524853586868996222109032986937616245722283975188232387658357391216702630103379524475226847787132910323140679191298968430471654132590763787434403 has 160 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1963155819
Step 1 took 8767ms
Step 2 took 6989ms
********** Factor found in step 2: 2270959417895104095441066570950803049
Found probable prime factor of 37 digits: 2270959417895104095441066570950803049
Probable prime cofactor 2199557888582773494196457986443410502294936322879240467752720211299049506292004568526426019961476059347878481751902742203947 has 124 digits

GMP-ECM 6.3

718495532475243192360555007499751345574001066305482893783867783376186002227553777261235906102150847389027354662297001673655504631643534327678670328856545880576862401185219021659623669586816299071223<198>

7010487473491322411970524303941<31>

102488669324648575996153011449145605440095906069695820523944212258513680591182373247581827285930273269717415816772008373306615293201654743129063846665771932167514363403<168>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4280442994
Step 1 took 12184ms
Step 2 took 8518ms
********** Factor found in step 2: 7010487473491322411970524303941
Found probable prime factor of 31 digits: 7010487473491322411970524303941
Composite cofactor 102488669324648575996153011449145605440095906069695820523944212258513680591182373247581827285930273269717415816772008373306615293201654743129063846665771932167514363403 has 168 digits

GMP-ECM 6.3

2780144375677573312059668570648542349452749430730687275320894689382114302577847170181394690007646787105301165394820118403568815732169787309224755350770120843145505389240368641583926094866032487933130855418452735669016027671333<226>

51689347169058313619047496148004769849349172768228884885838341224285010418052144210875278930297457538904702364335596613995206117050838348574946437244040285210845131828803261810923220348886294211348973631479541813<212>

9637770112373826002656555158593403215235951809670957610710745324471758300573094724955113129776797448064837119792320844115306769403217598404873834528063779341492976510870545904136440555327818841986295335604756562119<214>

1360151532586995889424384365852200647704336249202487419273863665891590676600304653463501151683463335343886459403256907710677713038511873049168903286512611378496026756150199182764372328769891213<193>

11390146913183893717933459726136555682253573179915113055538639052040409815727048467253274807108507540854101966806339012906331400353114203675942825628803653619247293<164>

1245123939751015488193044969049<31>

9147801716399055552974030738695812177094632159606833961657425160304418562785746615505782455564183353604334012055958513377854308663557<133>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3758284123
Step 1 took 6349ms
Step 2 took 4649ms
********** Factor found in step 2: 1245123939751015488193044969049
Found probable prime factor of 31 digits: 1245123939751015488193044969049
Composite cofactor 9147801716399055552974030738695812177094632159606833961657425160304418562785746615505782455564183353604334012055958513377854308663557 has 133 digits

GMP-ECM 6.3

9147801716399055552974030738695812177094632159606833961657425160304418562785746615505782455564183353604334012055958513377854308663557<133>

38008206259809467715378832917934152383703655443364175863<56>
240679648333525771500926296872309078022305216813621802234587804120908723642339<78>

N = 9147801716399055552974030738695812177094632159606833961657425160304418562785746615505782455564183353604334012055958513377854308663557 (133 digits)
Divisors found:
r1=38008206259809467715378832917934152383703655443364175863 (pp56)
r2=240679648333525771500926296872309078022305216813621802234587804120908723642339 (pp78)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 42.48 hours.
Factorization parameters were as follows:
n: 9147801716399055552974030738695812177094632159606833961657425160304418562785746615505782455564183353604334012055958513377854308663557
Y0: -92927517265568390079920621
Y1: 256065723695171
c0: 112462932623335820022483188776560
c1: 436246837639662381636171836
c2: -10742128338389405124528
c3: -10418698324664265
c4: 23318093234
c5: 1320
skew: 674148.76 
type: gnfs
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 21615547
Relations: 2970164 relations
Pruned matrix : 1727778 x 1728009
Polynomial selection time: 0.00 hours.
Total sieving time: 39.20 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 3.01 hours.
time per square root: 0.16 hours.
Prototype def-par.txt line would be: gnfs,132,5,65,2000,1e-05,0.28,250,20,50000,3600,8400000,8400000,28,28,55,55,2.5,2.5,100000
total time: 42.48 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

3818541208921470995012473303817420860604980055504666558780465007130523213842344479850530085772729930076122784939099675432575486697472721394867334160550827705926827249530389790506303370996373959380575452028233<208>

178150712153130429008156595389<30>
822494721039861961406915006459951<33>
26060143317450248982110439220626704845471782282939246350899327457620106260899053817848805524509903816908707006575171472316486554089833700704956947<146>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2284585918
Step 1 took 9719ms
Step 2 took 5804ms
********** Factor found in step 2: 178150712153130429008156595389
Found probable prime factor of 30 digits: 178150712153130429008156595389
Composite cofactor 21434330308145065395100335528689512021192676523982195255218078520624338788422269543819298876623223735830810691579313453427318244327916180763823062833587765229525927791192334729597 has 179 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3419622692
Step 1 took 8580ms
Step 2 took 5070ms
********** Factor found in step 2: 822494721039861961406915006459951
Found probable prime factor of 33 digits: 822494721039861961406915006459951
Probable prime cofactor 26060143317450248982110439220626704845471782282939246350899327457620106260899053817848805524509903816908707006575171472316486554089833700704956947 has 146 digits

GMP-ECM 6.3

8530276082385406403678255046724587241266063576147642018433926614034863238348709155971833028375963388055054401835715412929339458071560486055131174320456881586972562366981007340302568892642210365138467706507321109447707275045956862393851377<238>

36524931181827325779905457930806613865300373577824957305053279174609684570985690351525975380643876117092432082777878274510727747853924902774570027058099547781862666100081616553641647<182>

22954247519712599255866360098774543556177451<44>
1591205773592034503917624078235017021402822932565825531705319252514651190684262809099678236604345953536762005491885697530889513054630873997<139>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2368745051
Step 1 took 33612ms
Step 2 took 11713ms
********** Factor found in step 2: 22954247519712599255866360098774543556177451
Found probable prime factor of 44 digits: 22954247519712599255866360098774543556177451

4461357302249250156537636389718972593669211782108191879385594357875097369963900333555909453134016398114417958003105953785811536536015701124044358722120315608034214802873840849938991782090812363800030691170107866001211091<220>

317738455900950874388525070420781937841106560041157536799780258110098194177517146693807849817946409779229943556594716421875636320976135300055000240659277949008211639037254874801071732232705268177904214512617828766466874445077<225>

4106593352928455577436204187998559247076030511035549539217353615354882124707885346199076596288618824125353985686569444304597221215655377933792754061752899491839652570766025579404586082214178488288143813034304040999<214>

2322761844189109901211537138903521799799765660156544098199641935340934387219630989879601906561001324882724779185634913710825506504224025275947674895444131438210879776455109107744379766329639799486633011859712038300991146210179447<229>

9710306039459382761556114306705573513974026270628127077144245190559367687300602381738930289806660024906879750590210938162018567018545385318634231170080739865769815325844119773066801176441160475079431283945601343062173<217>

21675591424437222516390473767643015352354452799713217246047306244604259034171305393036068782153578652715852002587704649393276760677538178968120919944260907490507134537350841228393334954251693528891241252204860644948775676858979<227>

63676013240530586512004595548209674630697265152978010944402495346302619003054691795332871961395974305689517506209819912534240213845427444871776362016999154817519119302729571265304536261754051266625466685609818177781160772762666362485254661<239>

1411115207513470398414862231219697033<37>

45124602797481183076265668560017900296073878819823160569356717143779163243383382906007760544593174464500639824118001513715647752473023432862650763728717085724532993508165757061857018867232929262121954717<203>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2446959761
Step 1 took 401590ms
Step 2 took 107666ms
********** Factor found in step 2: 1411115207513470398414862231219697033
Found prime factor of 37 digits: 1411115207513470398414862231219697033

417331501832304392082278241047044674273075818512796208075894571462417013370028457626444193920343894512117877452816343903526478317030591212880736484933195555511318416361331289994834062004568820082609518793199157499510730980539352138332539047152471<246>

80007944585002963829739846870709044158549348936732785653736097430208755993627787542268656426500078279645093332009680124970004550430303443171302129264077014618668302212680247132724496151454326322705785186300165390397810414041127783<230>

6687109219856345518368269808371086749842257054298395847320460651756477387625844149504317524820321001046781481649438645271073002082939130073710901470466706681206033618439596029326298183629877186858059924332251366088354309470958670375180677<238>

482198445753636485174358683363879569<36>

13867960958283356067712682677499524134001946723278925517849141467503156585281100421209116884814501472307040024336920194019999588284786168546059578374470769155913508231908550767238430437465883263331742133<203>

Input number is 6687109219856345518368269808371086749842257054298395847320460651756477387625844149504317524820321001046781481649438645271073002082939130073710901470466706681206033618439596029326298183629877186858059924332251366088354309470958670375180677 (238 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4196570809
Step 1 took 8331ms
Step 2 took 4368ms
********** Factor found in step 2: 482198445753636485174358683363879569
Found probable prime factor of 36 digits: 482198445753636485174358683363879569
Composite cofactor 13867960958283356067712682677499524134001946723278925517849141467503156585281100421209116884814501472307040024336920194019999588284786168546059578374470769155913508231908550767238430437465883263331742133 has 203 digits

GMP-ECM 6.4.4

15627211878610037306120098932394055814666669615248046010642081579119050207966862735732796449129131829408840715655576049988877353337017533754245729925704995556217682426723193123294208859980727106376335790455390127998917330458697<227>

2027222926597900176942340829708417508176888976014549065733358584503940015963801373486231917333385977024613050896109388733956737161135881969867956582844555303313283997535495978726698153031887256449131811084999319512688795407927817<229>

299059607065582276531446865331963640332972966506819306690112939860608317146732100908692616068771747240801300311171521151738358730970463377908167766458371650345488611062513924962953991174750995494667019557003004053752973773967758383762259574767144713448561<255>

13061699321076214949838278035404179620508440792129047963274552568113541353074687519328823502381542237061893605482716290337511583454585815474993200127146712231288834683896069006237298550731803985128308806702024697070805777673442411568647<236>

67595645157316248677701124997871462563311632616646037142764682337388316110533167212789000799869601140885466391847798716768941164719350935818011857111757680011214340056462623540721263629250368632108158272996151560738934781106976325074088315788159734089<251>

2598219873707547383103754689601725212065463670718973761680957879921712242650564756626287252384408055581268536296336666741053237413901726927487063592194565197666633479766577344587965632513518852416486742470534216530691411232764162899553719<238>

17974852432983785450638610804933964333016113673848979935698150368708165155295686154454047798179258085701489803692964843388438422752851324780524451282276743367683934617617020224236278546393019095709910292614470066890767267<221>

5406064360818034846950263396970819956702830534208358910775340453660702966767030251525253483600298306631429939162854715534244849845210862188877617244696583286232997589706204729279163487225064460559922304043006323203179630814458735375582266919562357465734336807<259>

22439543837013864973185259048868337490051797015442178888557464255392552305318651481773586176567715299373153103876234825804825724591981050068565769418564435724109234964152134183396045220205301475065219358085132479<212>

26848337993751721168843428385756283<35>
101290675060808374508413031354027870767<39>

8251390714837325104901692932054892105187334618900058241271829384778881598469408559904202332975436047718741279540658164431538490710917563139<139>

GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 22439543837013864973185259048868337490051797015442178888557464255392552305318651481773586176567715299373153103876234825804825724591981050068565769418564435724109234964152134183396045220205301475065219358085132479 (212 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=872913645
Step 1 took 5569ms
Step 2 took 3057ms
********** Factor found in step 2: 26848337993751721168843428385756283
Found probable prime factor of 35 digits: 26848337993751721168843428385756283
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2890153917
Step 1 took 4680ms
Step 2 took 2621ms
********** Factor found in step 2: 101290675060808374508413031354027870767
Found probable prime factor of 39 digits: 101290675060808374508413031354027870767
Composite cofactor 8251390714837325104901692932054892105187334618900058241271829384778881598469408559904202332975436047718741279540658164431538490710917563139 has 139 digits

8251390714837325104901692932054892105187334618900058241271829384778881598469408559904202332975436047718741279540658164431538490710917563139<139>

1139986046081396889226404435678967389082739903573<49>
7238150627545630641927463982370615260834770513904041422983491665591382827396381876724951543<91>

Number: 22227_266
N = 8251390714837325104901692932054892105187334618900058241271829384778881598469408559904202332975436047718741279540658164431538490710917563139 (139 digits)
Divisors found:
r1=1139986046081396889226404435678967389082739903573 (pp49)
r2=7238150627545630641927463982370615260834770513904041422983491665591382827396381876724951543 (pp91)
Version: Msieve v. 1.50 (SVN 708)
Total time: 169.17 hours.
Factorization parameters were as follows:
# Murphy_E = 2.769e-11, selected by Erik Branger
# expecting poly E from 2.39e-011 to > 2.75e-011
n: 8251390714837325104901692932054892105187334618900058241271829384778881598469408559904202332975436047718741279540658164431538490710917563139
Y0: -1073197621567433156920042013
Y1: 168783275500939
c0: 3530079354104187265209520943119200
c1: 38348091148418108994164059040
c2: -61028494802245731778058
c3: -12393110495180523
c4: 22715543220
c5: 5796
skew: 1560868.94
type: gnfs
# selected mechanically
rlim: 17000000
alim: 17000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 17000000/17000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23042675
Relations: 3826128 relations
Pruned matrix : 2356397 x 2356623
Polynomial selection time: 0.00 hours.
Total sieving time: 164.44 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 4.38 hours.
time per square root: 0.23 hours.
Prototype def-par.txt line would be: gnfs,138,5,65,2000,1e-05,0.28,250,20,50000,3600,17000000,17000000,28,28,55,55,2.6,2.6,100000
total time: 169.17 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.69GHz

GGNFS, Msieve

1598721023181454836131095123900879296562749800159872102318145483613109512390087929656274980015987210231814548361310951239008792965627498001598721023181454836131095123900879296562749800159872102318145483613109512390087929656274980015987210231814548361310951239008793<265>

72318670015636267403657797091613263349015096183848158285857297477681065154095985154545146753201973116291768869387278346288485854207231684733004776882289055178431476375152820087788383325266715573269781237682714214879987255617572185813<233>

58040738960801258298154123873002252359535153412948495072308524615248697442528823565752501728030275572651501736713012617456993353083361277901023484962045494871050545017262336678660747149345138802182306228155998045671153561846293127120250321651<242>

54839915430086014454843103715878271966736879244765541836999821778578907171193914379538748687329731838220720211953094377187027172717118561703570636808335574649920482459210799865159818498473622035769138492403410495400105465756958844890247386241<242>

1799325864666436952165009697369508985972563386604558390877655490402023824337503552311121628641676829508098558901022539350477595501805668737073244805691686222793207283877671303214596499187837<190>

260221703310204933099819215164629281<36>
6914587990846780551011806946955888074253251213719051656908855717599592080099556706531474210225522378507456455750176800614738749312539017533593733791117277<154>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3:4026927627
Step 1 took 206126ms
Step 2 took 42987ms
********** Factor found in step 2: 260221703310204933099819215164629281
Found prime factor of 36 digits: 260221703310204933099819215164629281

162490438861026436533930579179925839417372751718778435605710235478259879472436714547841735864629734367915086350086769422706686051859953546236913292332038351319486236153873712107151126675295684420788220702602714528871049346583999619761495334651<243>

624124701358236992144502468995704489553833580975376152963607883143258571255459662662429862946843818074469673717838720087461831170906481625870003098744213823566073762019759030387420047192009863999585870609310535250850188961307001525175696864339<243>

6792122550319598898141950861826121717373714793606098576115891578951720586661837199314982696421985538388406339005960610480523845405847267801671096579006833382280240682357673161631196209018188396276208622182194353215676704012026344082541728379<241>

227435675564216428721944966668652039787498654592717556181223582739694599308580649092610283064564614557415284310716392778048104886952806116197002149996472378107688728836260277299257161249230684936238054876522325860206679683184473<228>

1228358976227137795074496722395988035996861874322918420417381835131172625857234968777636700190798623312868698431382639098375037429638604882684505622437012395742716644516741411069525667971704557250360172377239298501186892369881425252079646011846565006933<253>

64640527845208178603824574654906983<35>

19002923044945345512229459509356981873266263219759944887690977107528119824167725955982102046747211391760093781665754411883214253670275464533555654757728128174808364643527762522873975700737286334465436353566577696967651<218>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=453890345
Step 1 took 42155ms
Step 2 took 12744ms
********** Factor found in step 2: 64640527845208178603824574654906983
Found probable prime factor of 35 digits: 64640527845208178603824574654906983

1913179088867483266150740083928130666516051647257622369156811500383111971301328420392908101402175682976536397599464881338263774879610857221299395952151780410091780440510708657432626184896140524788250586496720531974698909207105705415912035761923679999481307941650783<265>

457499229205046314956813241880294758279<39>
4181819261623316608342212774005160619250736374473603412672751075167753766882467485407895362527333592531957952050539439126599353524939905186730569571942726936882640216938473362697700032947470565985501998116747272104776543292777<226>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2191180511
Step 1 took 42294ms
Step 2 took 13300ms
********** Factor found in step 2: 457499229205046314956813241880294758279
Found probable prime factor of 39 digits: 457499229205046314956813241880294758279

1109986757240278493073362653388218761939626319238609436733133622173898604649871953539940526364543568073364389130010396425119862709458672560222605264555314025378644977642200798486589310631737212008498980124437433022174613980015045740625941377861025741183246858896496487821<271>

227280989213588381665147191973547<33>
4883764194625020759255907351809239571992245721406014406050176456041604573500683694606743347960889157054975356371541111201649669189017562145130030964549321266456791307665936194262837257749755218003927984343122139627470288408230989339339943<238>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2980616863
Step 1 took 64346ms
Step 2 took 15631ms
********** Factor found in step 2: 227280989213588381665147191973547
Found probable prime factor of 33 digits: 227280989213588381665147191973547

5388360995770588902620121800255527958888386006311243332720322947396901178537318994953819504163795798801507907166986605892499147635936832768894397830911603397168311269400977065072121831968737534017648360083375215799350497777<223>

47407935347708184463704607298546639<35>

113659474015273172005274583977771901739759992216662086054698206649838540057072688991214906824696619822115972340359559596464428755370092745842064344915136569028725238157217659480723886855743<189>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3306724354
Step 1 took 32035ms
Step 2 took 10914ms
********** Factor found in step 2: 47407935347708184463704607298546639
Found probable prime factor of 35 digits: 47407935347708184463704607298546639