722222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227<153>

6550213397685364775986550762989701971314721157128662740183066777671<67>
110259342463168051908664963775205452537386095869746869361395515038990560570276567780437<87>

Number: 72227_152
N=722222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227
  ( 153 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=6550213397685364775986550762989701971314721157128662740183066777671 (pp67)
 r2=110259342463168051908664963775205452537386095869746869361395515038990560570276567780437 (pp87)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 43.65 hours.
Scaled time: 28.11 units (timescale=0.644).
Factorization parameters were as follows:
n: 722222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227
m: 1000000000000000000000000000000
c5: 6500
c0: 43
skew: 1
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 100000
)
Primes: RFBsize:176302, AFBsize:176528, largePrimes:5513675 encountered
Relations: rels:5400593, finalFF:452520
Max relations in full relation-set: 28
Initial matrix: 352897 x 452520 with sparse part having weight 40973848.
Pruned matrix : 314268 x 316096 with weight 25151271.
Total sieving time: 38.70 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 4.53 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,153,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 43.65 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.24GHz, Windows XP and Cygwin

5103403032154343834741178855604673819491372467573218373515476529946980780374398851423525859559148205166416041259945688339089065263392267437602072831<148>

2283906434721397222715225004575163162522053541582590209420748519155831<70>
2234506175283351071706709697979013414681324521591035009309462144344402039107001<79>

Number: n
N=5103403032154343834741178855604673819491372467573218373515476529946980780374398851423525859559148205166416041259945688339089065263392267437602072831
  ( 148 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=2283906434721397222715225004575163162522053541582590209420748519155831 (pp70)
 r2=2234506175283351071706709697979013414681324521591035009309462144344402039107001 (pp79)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 48.27 hours.
Scaled time: 63.86 units (timescale=1.323).
Factorization parameters were as follows:
name: KA_7_2_157_7
n: 5103403032154343834741178855604673819491372467573218373515476529946980780374398851423525859559148205166416041259945688339089065263392267437602072831
skew: 1.16
deg: 5
c5: 104
c0: 215
m: 50000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 2000001)
Primes: RFBsize:216816, AFBsize:216546, largePrimes:7326828 encountered
Relations: rels:6829370, finalFF:530036
Max relations in full relation-set: 48
Initial matrix: 433428 x 530036 with sparse part having weight 48883949.
Pruned matrix : 366007 x 368238 with weight 29896532.
Total sieving time: 42.64 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 4.80 hours.
Total square root time: 0.60 hours, sqrts: 7.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 48.27 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

188070384038043145789855963382740207328959180189136326467303443069361466091139927156978142277394156582511341411629330403090273249350352884837936146356521<153>

17352541246944072825111665711753<32>
2342545412736254376314836515222427<34>
4626678339400851524807725560482691036987427405150010526072468457028149806517927931218291<88>

Number: n
N=188070384038043145789855963382740207328959180189136326467303443069361466091139927156978142277394156582511341411629330403090273249350352884837936146356521
  ( 153 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=17352541246944072825111665711753 (pp32)
 r2=2342545412736254376314836515222427 (pp34)
 r3=4626678339400851524807725560482691036987427405150010526072468457028149806517927931218291 (pp88)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 39.23 hours.
Scaled time: 56.69 units (timescale=1.445).
Factorization parameters were as follows:
name: KA_7_2_159_7
n: 188070384038043145789855963382740207328959180189136326467303443069361466091139927156978142277394156582511341411629330403090273249350352884837936146356521
skew: 0.92
deg: 5
c5: 65
c0: 43
m: 100000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1700001)
Primes: RFBsize:250150, AFBsize:250296, largePrimes:7171287 encountered
Relations: rels:6695030, finalFF:564527
Max relations in full relation-set: 28
Initial matrix: 500512 x 564527 with sparse part having weight 35787677.
Pruned matrix : 445479 x 448045 with weight 23699811.
Total sieving time: 34.25 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 4.54 hours.
Total square root time: 0.23 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 39.23 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

19271078854289890392033039523500339467465971721915367351234683198287542285194178355317187134034800603629485343603335971988745689949094704011052704918275801751<158>

52947769774827685110950551656087356218398433<44>
363963939109135155217567052297823083527155953215564045576179453409875651685542451308909281653467079298253731913847<114>

Number: n
N=19271078854289890392033039523500339467465971721915367351234683198287542285194178355317187134034800603629485343603335971988745689949094704011052704918275801751
  ( 158 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=52947769774827685110950551656087356218398433 (pp44)
 r2=363963939109135155217567052297823083527155953215564045576179453409875651685542451308909281653467079298253731913847 (pp114)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 51.24 hours.
Scaled time: 74.29 units (timescale=1.450).
Factorization parameters were as follows:
name: KA_7_2_160_7
n: 19271078854289890392033039523500339467465971721915367351234683198287542285194178355317187134034800603629485343603335971988745689949094704011052704918275801751
skew: 0.58
deg: 5
c5: 650
c0: 43
m: 100000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 2300001)
Primes: RFBsize:250150, AFBsize:249736, largePrimes:7540584 encountered
Relations: rels:7113733, finalFF:609923
Max relations in full relation-set: 28
Initial matrix: 499953 x 609923 with sparse part having weight 44644601.
Pruned matrix : 412583 x 415146 with weight 28053407.
Total sieving time: 45.96 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 4.95 hours.
Total square root time: 0.08 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 51.24 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

22092718465017248771037776619885496253769731032787367896536812757589874812967027353750731118374142593784616914591704075466651<125>

137954707191964580423759095965459263169617010356229781<54>
160144723690182851686046435792735566441355086416901397233226149694716271<72>

Number: n
N=22092718465017248771037776619885496253769731032787367896536812757589874812967027353750731118374142593784616914591704075466651
  ( 125 digits)
SNFS difficulty: 163 digits.
Divisors found:

Fri Feb 15 11:54:20 2008  prp54 factor: 137954707191964580423759095965459263169617010356229781
Fri Feb 15 11:54:20 2008  prp72 factor: 160144723690182851686046435792735566441355086416901397233226149694716271
Fri Feb 15 11:54:20 2008  elapsed time 00:55:13 (Msieve 1.33)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 35.21 hours.
Scaled time: 64.41 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_7_2_161_7
n: 22092718465017248771037776619885496253769731032787367896536812757589874812967027353750731118374142593784616914591704075466651
skew: 0.37
deg: 5
c5: 6500
c0: 43
m: 100000000000000000000000000000000
type: snfs
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2300001)
Primes: RFBsize:230209, AFBsize:230052, largePrimes:7364839 encountered
Relations: rels:6841139, finalFF:523751
Max relations in full relation-set: 28
Initial matrix: 460328 x 523751 with sparse part having weight 47945873.
Pruned matrix : 
Total sieving time: 35.04 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.5,2.5,100000
total time: 35.21 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

161824745494397415085594949862446015318804831340450950581977528424876612513918227943180593176597511704495626812201425598050776499<129>

2844021580936529047321181522766000025422187626149<49>
56899971005532573858733054130402004114671676641026019412601626011729833138572151<80>

Number: 72227_165
N=161824745494397415085594949862446015318804831340450950581977528424876612513918227943180593176597511704495626812201425598050776499
  ( 129 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=2844021580936529047321181522766000025422187626149 (pp49)
 r2=56899971005532573858733054130402004114671676641026019412601626011729833138572151 (pp80)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 45.38 hours.
Scaled time: 108.18 units (timescale=2.384).
Factorization parameters were as follows:
n: 161824745494397415085594949862446015318804831340450950581977528424876612513918227943180593176597511704495626812201425598050776499
m: 1000000000000000000000000000000000
c5: 65
c0: 43
skew: 0.92
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved algebraic special-q in [3000000, 5500001)
Primes: RFBsize:412849, AFBsize:413366, largePrimes:6535631 encountered
Relations: rels:6859270, finalFF:962155
Max relations in full relation-set: 28
Initial matrix: 826281 x 962155 with sparse part having weight 57220973.
Pruned matrix : 707273 x 711468 with weight 37824375.
Total sieving time: 42.55 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 2.66 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,49,49,2.6,2.6,100000
total time: 45.38 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047092k/8912896k available (2460k kernel code, 339200k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673805)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.05 BogoMIPS (lpj=2672026)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)

Core 2 Quad Q6700

9763436759606743427904739583306785308462946373464374213867612168717174093348236091973396634356359866256404708584327307961415747853<130>

450631373675458452337775455499947328084685648775502985779<57>
21666127415793961010964729859371091707932535791390299034807201472008220607<74>

Sieving performed over 2.5 days manually

Postprocessing log:

Thu Jun 11 22:15:03 2009  
Thu Jun 11 22:15:03 2009  
Thu Jun 11 22:15:03 2009  Msieve v. 1.41
Thu Jun 11 22:15:03 2009  random seeds: 891788b7 6f9284bd
Thu Jun 11 22:15:03 2009  factoring 9763436759606743427904739583306785308462946373464374213867612168717174093348236091973396634356359866256404708584327307961415747853 (130 digits)
Thu Jun 11 22:15:04 2009  searching for 15-digit factors
Thu Jun 11 22:15:05 2009  commencing number field sieve (130-digit input)
Thu Jun 11 22:15:05 2009  R0: -1000000000000000000000000000000000
Thu Jun 11 22:15:05 2009  R1:  1
Thu Jun 11 22:15:05 2009  A0:  43
Thu Jun 11 22:15:05 2009  A1:  0
Thu Jun 11 22:15:05 2009  A2:  0
Thu Jun 11 22:15:05 2009  A3:  0
Thu Jun 11 22:15:05 2009  A4:  0
Thu Jun 11 22:15:05 2009  A5:  650
Thu Jun 11 22:15:05 2009  skew 1.00, size 9.555107e-12, alpha -0.317313, combined = 3.222005e-10
Thu Jun 11 22:15:05 2009  
Thu Jun 11 22:15:05 2009  commencing relation filtering
Thu Jun 11 22:15:05 2009  commencing duplicate removal, pass 1
Thu Jun 11 22:17:35 2009  found 2090217 hash collisions in 13684980 relations
Thu Jun 11 22:18:13 2009  added 357929 free relations
Thu Jun 11 22:18:13 2009  commencing duplicate removal, pass 2
Thu Jun 11 22:18:27 2009  found 2030428 duplicates and 12012481 unique relations
Thu Jun 11 22:18:27 2009  memory use: 69.3 MB
Thu Jun 11 22:18:27 2009  reading rational ideals above 6094848
Thu Jun 11 22:18:27 2009  reading algebraic ideals above 6094848
Thu Jun 11 22:18:27 2009  commencing singleton removal, pass 1
Thu Jun 11 22:20:57 2009  relations with 0 large ideals: 299061
Thu Jun 11 22:20:57 2009  relations with 1 large ideals: 1856276
Thu Jun 11 22:20:57 2009  relations with 2 large ideals: 4373394
Thu Jun 11 22:20:57 2009  relations with 3 large ideals: 4053181
Thu Jun 11 22:20:57 2009  relations with 4 large ideals: 1048259
Thu Jun 11 22:20:57 2009  relations with 5 large ideals: 39190
Thu Jun 11 22:20:57 2009  relations with 6 large ideals: 343119
Thu Jun 11 22:20:57 2009  relations with 7+ large ideals: 1
Thu Jun 11 22:20:57 2009  12012481 relations and about 9765690 large ideals
Thu Jun 11 22:20:57 2009  commencing singleton removal, pass 2
Thu Jun 11 22:23:39 2009  found 3384675 singletons
Thu Jun 11 22:23:39 2009  current dataset: 8627806 relations and about 5627344 large ideals
Thu Jun 11 22:23:39 2009  commencing singleton removal, pass 3
Thu Jun 11 22:25:22 2009  found 877593 singletons
Thu Jun 11 22:25:22 2009  current dataset: 7750213 relations and about 4725529 large ideals
Thu Jun 11 22:25:22 2009  commencing singleton removal, pass 4
Thu Jun 11 22:26:57 2009  found 139102 singletons
Thu Jun 11 22:26:57 2009  current dataset: 7611111 relations and about 4585593 large ideals
Thu Jun 11 22:26:57 2009  commencing singleton removal, final pass
Thu Jun 11 22:28:37 2009  memory use: 123.1 MB
Thu Jun 11 22:28:37 2009  commencing in-memory singleton removal
Thu Jun 11 22:28:38 2009  begin with 7611111 relations and 4846475 unique ideals
Thu Jun 11 22:28:45 2009  reduce to 7238441 relations and 4470046 ideals in 8 passes
Thu Jun 11 22:28:45 2009  max relations containing the same ideal: 31
Thu Jun 11 22:28:46 2009  reading rational ideals above 720000
Thu Jun 11 22:28:46 2009  reading algebraic ideals above 720000
Thu Jun 11 22:28:46 2009  commencing singleton removal, final pass
Thu Jun 11 22:30:40 2009  keeping 4652011 ideals with weight <= 20, new excess is 661449
Thu Jun 11 22:30:45 2009  memory use: 177.4 MB
Thu Jun 11 22:30:45 2009  commencing in-memory singleton removal
Thu Jun 11 22:30:46 2009  begin with 7239473 relations and 4652011 unique ideals
Thu Jun 11 22:30:50 2009  reduce to 7238347 relations and 4645988 ideals in 4 passes
Thu Jun 11 22:30:50 2009  max relations containing the same ideal: 20
Thu Jun 11 22:30:55 2009  removing 1370225 relations and 970225 ideals in 400000 cliques
Thu Jun 11 22:30:56 2009  commencing in-memory singleton removal
Thu Jun 11 22:30:56 2009  begin with 5868122 relations and 4645988 unique ideals
Thu Jun 11 22:31:02 2009  reduce to 5763246 relations and 3565026 ideals in 7 passes
Thu Jun 11 22:31:02 2009  max relations containing the same ideal: 20
Thu Jun 11 22:31:06 2009  removing 1048359 relations and 648359 ideals in 400000 cliques
Thu Jun 11 22:31:06 2009  commencing in-memory singleton removal
Thu Jun 11 22:31:07 2009  begin with 4714887 relations and 3565026 unique ideals
Thu Jun 11 22:31:10 2009  reduce to 4612574 relations and 2807796 ideals in 6 passes
Thu Jun 11 22:31:10 2009  max relations containing the same ideal: 20
Thu Jun 11 22:31:13 2009  removing 958972 relations and 558972 ideals in 400000 cliques
Thu Jun 11 22:31:14 2009  commencing in-memory singleton removal
Thu Jun 11 22:31:14 2009  begin with 3653602 relations and 2807796 unique ideals
Thu Jun 11 22:31:17 2009  reduce to 3546460 relations and 2133022 ideals in 6 passes
Thu Jun 11 22:31:17 2009  max relations containing the same ideal: 19
Thu Jun 11 22:31:19 2009  removing 927820 relations and 527820 ideals in 400000 cliques
Thu Jun 11 22:31:20 2009  commencing in-memory singleton removal
Thu Jun 11 22:31:20 2009  begin with 2618640 relations and 2133022 unique ideals
Thu Jun 11 22:31:22 2009  reduce to 2502532 relations and 1476617 ideals in 7 passes
Thu Jun 11 22:31:22 2009  max relations containing the same ideal: 16
Thu Jun 11 22:31:24 2009  removing 617081 relations and 358447 ideals in 258634 cliques
Thu Jun 11 22:31:24 2009  commencing in-memory singleton removal
Thu Jun 11 22:31:24 2009  begin with 1885451 relations and 1476617 unique ideals
Thu Jun 11 22:31:25 2009  reduce to 1796412 relations and 1019287 ideals in 7 passes
Thu Jun 11 22:31:25 2009  max relations containing the same ideal: 14
Thu Jun 11 22:31:26 2009  removing 44809 relations and 34965 ideals in 9844 cliques
Thu Jun 11 22:31:27 2009  commencing in-memory singleton removal
Thu Jun 11 22:31:27 2009  begin with 1751603 relations and 1019287 unique ideals
Thu Jun 11 22:31:27 2009  reduce to 1750837 relations and 983553 ideals in 4 passes
Thu Jun 11 22:31:27 2009  max relations containing the same ideal: 14
Thu Jun 11 22:31:28 2009  relations with 0 large ideals: 174112
Thu Jun 11 22:31:28 2009  relations with 1 large ideals: 583484
Thu Jun 11 22:31:28 2009  relations with 2 large ideals: 636673
Thu Jun 11 22:31:28 2009  relations with 3 large ideals: 282529
Thu Jun 11 22:31:28 2009  relations with 4 large ideals: 64640
Thu Jun 11 22:31:28 2009  relations with 5 large ideals: 7757
Thu Jun 11 22:31:28 2009  relations with 6 large ideals: 1629
Thu Jun 11 22:31:28 2009  relations with 7+ large ideals: 13
Thu Jun 11 22:31:28 2009  commencing 2-way merge
Thu Jun 11 22:31:29 2009  reduce to 1298618 relation sets and 531334 unique ideals
Thu Jun 11 22:31:29 2009  commencing full merge
Thu Jun 11 22:31:35 2009  memory use: 52.1 MB
Thu Jun 11 22:31:35 2009  found 764728 cycles, need 661649
Thu Jun 11 22:31:35 2009  weight of 661649 cycles is about 32721827 (49.45/cycle)
Thu Jun 11 22:31:35 2009  distribution of cycle lengths:
Thu Jun 11 22:31:35 2009  1 relations: 174112
Thu Jun 11 22:31:35 2009  2 relations: 97968
Thu Jun 11 22:31:35 2009  3 relations: 80875
Thu Jun 11 22:31:35 2009  4 relations: 65935
Thu Jun 11 22:31:35 2009  5 relations: 56261
Thu Jun 11 22:31:35 2009  6 relations: 46805
Thu Jun 11 22:31:35 2009  7 relations: 40424
Thu Jun 11 22:31:35 2009  8 relations: 33366
Thu Jun 11 22:31:35 2009  9 relations: 27756
Thu Jun 11 22:31:35 2009  10+ relations: 38147
Thu Jun 11 22:31:35 2009  heaviest cycle: 14 relations
Thu Jun 11 22:31:35 2009  matrix can improve, retrying
Thu Jun 11 22:31:36 2009  reading rational ideals above 720000
Thu Jun 11 22:31:36 2009  reading algebraic ideals above 720000
Thu Jun 11 22:31:36 2009  commencing singleton removal, final pass
Thu Jun 11 22:33:29 2009  keeping 4741281 ideals with weight <= 25, new excess is 572179
Thu Jun 11 22:33:34 2009  memory use: 177.4 MB
Thu Jun 11 22:33:34 2009  commencing in-memory singleton removal
Thu Jun 11 22:33:35 2009  begin with 7239473 relations and 4741281 unique ideals
Thu Jun 11 22:33:40 2009  reduce to 7238347 relations and 4735258 ideals in 4 passes
Thu Jun 11 22:33:40 2009  max relations containing the same ideal: 25
Thu Jun 11 22:33:45 2009  removing 1370225 relations and 970225 ideals in 400000 cliques
Thu Jun 11 22:33:46 2009  commencing in-memory singleton removal
Thu Jun 11 22:33:47 2009  begin with 5868122 relations and 4735258 unique ideals
Thu Jun 11 22:33:52 2009  reduce to 5763246 relations and 3654296 ideals in 7 passes
Thu Jun 11 22:33:52 2009  max relations containing the same ideal: 25
Thu Jun 11 22:33:57 2009  removing 1048359 relations and 648359 ideals in 400000 cliques
Thu Jun 11 22:33:57 2009  commencing in-memory singleton removal
Thu Jun 11 22:33:58 2009  begin with 4714887 relations and 3654296 unique ideals
Thu Jun 11 22:34:02 2009  reduce to 4612548 relations and 2897043 ideals in 6 passes
Thu Jun 11 22:34:02 2009  max relations containing the same ideal: 24
Thu Jun 11 22:34:05 2009  removing 958960 relations and 558960 ideals in 400000 cliques
Thu Jun 11 22:34:05 2009  commencing in-memory singleton removal
Thu Jun 11 22:34:06 2009  begin with 3653588 relations and 2897043 unique ideals
Thu Jun 11 22:34:09 2009  reduce to 3546576 relations and 2222376 ideals in 6 passes
Thu Jun 11 22:34:09 2009  max relations containing the same ideal: 23
Thu Jun 11 22:34:12 2009  removing 927863 relations and 527863 ideals in 400000 cliques
Thu Jun 11 22:34:12 2009  commencing in-memory singleton removal
Thu Jun 11 22:34:13 2009  begin with 2618713 relations and 2222376 unique ideals
Thu Jun 11 22:34:15 2009  reduce to 2502567 relations and 1565849 ideals in 7 passes
Thu Jun 11 22:34:15 2009  max relations containing the same ideal: 19
Thu Jun 11 22:34:17 2009  removing 645878 relations and 372888 ideals in 272990 cliques
Thu Jun 11 22:34:17 2009  commencing in-memory singleton removal
Thu Jun 11 22:34:18 2009  begin with 1856689 relations and 1565849 unique ideals
Thu Jun 11 22:34:19 2009  reduce to 1761413 relations and 1086714 ideals in 7 passes
Thu Jun 11 22:34:19 2009  max relations containing the same ideal: 17
Thu Jun 11 22:34:20 2009  removing 49978 relations and 39007 ideals in 10971 cliques
Thu Jun 11 22:34:21 2009  commencing in-memory singleton removal
Thu Jun 11 22:34:21 2009  begin with 1711435 relations and 1086714 unique ideals
Thu Jun 11 22:34:22 2009  reduce to 1710437 relations and 1046700 ideals in 5 passes
Thu Jun 11 22:34:22 2009  max relations containing the same ideal: 16
Thu Jun 11 22:34:22 2009  relations with 0 large ideals: 113635
Thu Jun 11 22:34:22 2009  relations with 1 large ideals: 443963
Thu Jun 11 22:34:22 2009  relations with 2 large ideals: 615026
Thu Jun 11 22:34:22 2009  relations with 3 large ideals: 381062
Thu Jun 11 22:34:22 2009  relations with 4 large ideals: 128224
Thu Jun 11 22:34:22 2009  relations with 5 large ideals: 24417
Thu Jun 11 22:34:22 2009  relations with 6 large ideals: 3945
Thu Jun 11 22:34:22 2009  relations with 7+ large ideals: 165
Thu Jun 11 22:34:22 2009  commencing 2-way merge
Thu Jun 11 22:34:23 2009  reduce to 1266153 relation sets and 602416 unique ideals
Thu Jun 11 22:34:23 2009  commencing full merge
Thu Jun 11 22:34:38 2009  memory use: 58.1 MB
Thu Jun 11 22:34:38 2009  found 666737 cycles, need 584616
Thu Jun 11 22:34:39 2009  weight of 584616 cycles is about 41139292 (70.37/cycle)
Thu Jun 11 22:34:39 2009  distribution of cycle lengths:
Thu Jun 11 22:34:39 2009  1 relations: 113778
Thu Jun 11 22:34:39 2009  2 relations: 61154
Thu Jun 11 22:34:39 2009  3 relations: 53353
Thu Jun 11 22:34:39 2009  4 relations: 47482
Thu Jun 11 22:34:39 2009  5 relations: 44643
Thu Jun 11 22:34:39 2009  6 relations: 40899
Thu Jun 11 22:34:39 2009  7 relations: 38087
Thu Jun 11 22:34:39 2009  8 relations: 34576
Thu Jun 11 22:34:39 2009  9 relations: 31157
Thu Jun 11 22:34:39 2009  10+ relations: 119487
Thu Jun 11 22:34:39 2009  heaviest cycle: 18 relations
Thu Jun 11 22:34:39 2009  matrix can improve, retrying
Thu Jun 11 22:34:40 2009  reading rational ideals above 720000
Thu Jun 11 22:34:40 2009  reading algebraic ideals above 720000
Thu Jun 11 22:34:40 2009  commencing singleton removal, final pass
Thu Jun 11 22:37:12 2009  keeping 4838805 ideals with weight <= 30, new excess is 474655
Thu Jun 11 22:37:20 2009  memory use: 177.4 MB
Thu Jun 11 22:37:20 2009  commencing in-memory singleton removal
Thu Jun 11 22:37:22 2009  begin with 7239473 relations and 4838805 unique ideals
Thu Jun 11 22:37:29 2009  reduce to 7238347 relations and 4832782 ideals in 4 passes
Thu Jun 11 22:37:29 2009  max relations containing the same ideal: 30
Thu Jun 11 22:37:39 2009  removing 1370225 relations and 970225 ideals in 400000 cliques
Thu Jun 11 22:37:40 2009  commencing in-memory singleton removal
Thu Jun 11 22:37:42 2009  begin with 5868122 relations and 4832782 unique ideals
Thu Jun 11 22:37:53 2009  reduce to 5763246 relations and 3751820 ideals in 7 passes
Thu Jun 11 22:37:53 2009  max relations containing the same ideal: 30
Thu Jun 11 22:38:01 2009  removing 1048359 relations and 648359 ideals in 400000 cliques
Thu Jun 11 22:38:02 2009  commencing in-memory singleton removal
Thu Jun 11 22:38:03 2009  begin with 4714887 relations and 3751820 unique ideals
Thu Jun 11 22:38:11 2009  reduce to 4612549 relations and 2994568 ideals in 6 passes
Thu Jun 11 22:38:11 2009  max relations containing the same ideal: 28
Thu Jun 11 22:38:17 2009  removing 958958 relations and 558958 ideals in 400000 cliques
Thu Jun 11 22:38:18 2009  commencing in-memory singleton removal
Thu Jun 11 22:38:19 2009  begin with 3653591 relations and 2994568 unique ideals
Thu Jun 11 22:38:25 2009  reduce to 3546538 relations and 2319864 ideals in 6 passes
Thu Jun 11 22:38:25 2009  max relations containing the same ideal: 26
Thu Jun 11 22:38:30 2009  removing 927846 relations and 527846 ideals in 400000 cliques
Thu Jun 11 22:38:31 2009  commencing in-memory singleton removal
Thu Jun 11 22:38:31 2009  begin with 2618692 relations and 2319864 unique ideals
Thu Jun 11 22:38:36 2009  reduce to 2502397 relations and 1663234 ideals in 7 passes
Thu Jun 11 22:38:36 2009  max relations containing the same ideal: 21
Thu Jun 11 22:38:39 2009  removing 676969 relations and 388406 ideals in 288563 cliques
Thu Jun 11 22:38:40 2009  commencing in-memory singleton removal
Thu Jun 11 22:38:41 2009  begin with 1825428 relations and 1663234 unique ideals
Thu Jun 11 22:38:44 2009  reduce to 1723810 relations and 1160990 ideals in 7 passes
Thu Jun 11 22:38:44 2009  max relations containing the same ideal: 18
Thu Jun 11 22:38:46 2009  removing 55463 relations and 43243 ideals in 12220 cliques
Thu Jun 11 22:38:47 2009  commencing in-memory singleton removal
Thu Jun 11 22:38:47 2009  begin with 1668347 relations and 1160990 unique ideals
Thu Jun 11 22:38:49 2009  reduce to 1667063 relations and 1116452 ideals in 5 passes
Thu Jun 11 22:38:49 2009  max relations containing the same ideal: 18
Thu Jun 11 22:38:49 2009  relations with 0 large ideals: 65458
Thu Jun 11 22:38:49 2009  relations with 1 large ideals: 297828
Thu Jun 11 22:38:49 2009  relations with 2 large ideals: 530856
Thu Jun 11 22:38:49 2009  relations with 3 large ideals: 462549
Thu Jun 11 22:38:49 2009  relations with 4 large ideals: 229066
Thu Jun 11 22:38:49 2009  relations with 5 large ideals: 67346
Thu Jun 11 22:38:49 2009  relations with 6 large ideals: 12804
Thu Jun 11 22:38:49 2009  relations with 7+ large ideals: 1156
Thu Jun 11 22:38:49 2009  commencing 2-way merge
Thu Jun 11 22:38:52 2009  reduce to 1233370 relation sets and 682759 unique ideals
Thu Jun 11 22:38:52 2009  commencing full merge
Thu Jun 11 22:39:14 2009  memory use: 65.7 MB
Thu Jun 11 22:39:14 2009  found 634387 cycles, need 560959
Thu Jun 11 22:39:15 2009  weight of 560959 cycles is about 39428217 (70.29/cycle)
Thu Jun 11 22:39:15 2009  distribution of cycle lengths:
Thu Jun 11 22:39:15 2009  1 relations: 72319
Thu Jun 11 22:39:15 2009  2 relations: 52148
Thu Jun 11 22:39:15 2009  3 relations: 55635
Thu Jun 11 22:39:15 2009  4 relations: 54694
Thu Jun 11 22:39:15 2009  5 relations: 54247
Thu Jun 11 22:39:15 2009  6 relations: 49707
Thu Jun 11 22:39:15 2009  7 relations: 45747
Thu Jun 11 22:39:15 2009  8 relations: 40721
Thu Jun 11 22:39:15 2009  9 relations: 35481
Thu Jun 11 22:39:15 2009  10+ relations: 100260
Thu Jun 11 22:39:15 2009  heaviest cycle: 16 relations
Thu Jun 11 22:39:15 2009  commencing cycle optimization
Thu Jun 11 22:39:17 2009  start with 3244833 relations
Thu Jun 11 22:39:31 2009  pruned 210947 relations
Thu Jun 11 22:39:31 2009  memory use: 93.5 MB
Thu Jun 11 22:39:31 2009  distribution of cycle lengths:
Thu Jun 11 22:39:31 2009  1 relations: 72319
Thu Jun 11 22:39:31 2009  2 relations: 54853
Thu Jun 11 22:39:31 2009  3 relations: 60718
Thu Jun 11 22:39:31 2009  4 relations: 60060
Thu Jun 11 22:39:31 2009  5 relations: 60069
Thu Jun 11 22:39:31 2009  6 relations: 54268
Thu Jun 11 22:39:31 2009  7 relations: 49024
Thu Jun 11 22:39:31 2009  8 relations: 42072
Thu Jun 11 22:39:31 2009  9 relations: 35161
Thu Jun 11 22:39:31 2009  10+ relations: 72415
Thu Jun 11 22:39:31 2009  heaviest cycle: 16 relations
Thu Jun 11 22:39:34 2009  RelProcTime: 1326
Thu Jun 11 22:39:34 2009  elapsed time 00:24:31
Thu Jun 11 22:39:45 2009  
Thu Jun 11 22:39:45 2009  
Thu Jun 11 22:39:45 2009  Msieve v. 1.41
Thu Jun 11 22:39:45 2009  random seeds: 2f7019d3 c696b041
Thu Jun 11 22:39:45 2009  factoring 9763436759606743427904739583306785308462946373464374213867612168717174093348236091973396634356359866256404708584327307961415747853 (130 digits)
Thu Jun 11 22:39:47 2009  searching for 15-digit factors
Thu Jun 11 22:39:48 2009  commencing number field sieve (130-digit input)
Thu Jun 11 22:39:48 2009  R0: -1000000000000000000000000000000000
Thu Jun 11 22:39:48 2009  R1:  1
Thu Jun 11 22:39:48 2009  A0:  43
Thu Jun 11 22:39:48 2009  A1:  0
Thu Jun 11 22:39:48 2009  A2:  0
Thu Jun 11 22:39:48 2009  A3:  0
Thu Jun 11 22:39:48 2009  A4:  0
Thu Jun 11 22:39:48 2009  A5:  650
Thu Jun 11 22:39:48 2009  skew 1.00, size 9.555107e-12, alpha -0.317313, combined = 3.222005e-10
Thu Jun 11 22:39:48 2009  
Thu Jun 11 22:39:48 2009  commencing linear algebra
Thu Jun 11 22:39:48 2009  read 560959 cycles
Thu Jun 11 22:39:51 2009  cycles contain 1460370 unique relations
Thu Jun 11 22:40:18 2009  
Thu Jun 11 22:40:18 2009  
Thu Jun 11 22:40:18 2009  Msieve v. 1.41
Thu Jun 11 22:40:18 2009  random seeds: 896479b4 8c2297c6
Thu Jun 11 22:40:18 2009  factoring 9763436759606743427904739583306785308462946373464374213867612168717174093348236091973396634356359866256404708584327307961415747853 (130 digits)
Thu Jun 11 22:40:19 2009  searching for 15-digit factors
Thu Jun 11 22:40:20 2009  commencing number field sieve (130-digit input)
Thu Jun 11 22:40:20 2009  R0: -1000000000000000000000000000000000
Thu Jun 11 22:40:20 2009  R1:  1
Thu Jun 11 22:40:20 2009  A0:  43
Thu Jun 11 22:40:20 2009  A1:  0
Thu Jun 11 22:40:20 2009  A2:  0
Thu Jun 11 22:40:20 2009  A3:  0
Thu Jun 11 22:40:20 2009  A4:  0
Thu Jun 11 22:40:20 2009  A5:  650
Thu Jun 11 22:40:20 2009  skew 1.00, size 9.555107e-12, alpha -0.317313, combined = 3.222005e-10
Thu Jun 11 22:40:20 2009  
Thu Jun 11 22:40:20 2009  commencing linear algebra
Thu Jun 11 22:40:20 2009  read 560959 cycles
Thu Jun 11 22:40:21 2009  cycles contain 1460370 unique relations
Thu Jun 11 22:40:43 2009  read 1460370 relations
Thu Jun 11 22:40:46 2009  using 20 quadratic characters above 134210724
Thu Jun 11 22:41:00 2009  building initial matrix
Thu Jun 11 22:41:26 2009  memory use: 185.1 MB
Thu Jun 11 22:41:27 2009  read 560959 cycles
Thu Jun 11 22:41:27 2009  matrix is 560744 x 560959 (161.1 MB) with weight 48786446 (86.97/col)
Thu Jun 11 22:41:27 2009  sparse part has weight 36056943 (64.28/col)
Thu Jun 11 22:41:43 2009  filtering completed in 2 passes
Thu Jun 11 22:41:43 2009  matrix is 559754 x 559954 (160.9 MB) with weight 48736748 (87.04/col)
Thu Jun 11 22:41:43 2009  sparse part has weight 36028515 (64.34/col)
Thu Jun 11 22:41:47 2009  read 559954 cycles
Thu Jun 11 22:41:48 2009  matrix is 559754 x 559954 (160.9 MB) with weight 48736748 (87.04/col)
Thu Jun 11 22:41:48 2009  sparse part has weight 36028515 (64.34/col)
Thu Jun 11 22:41:48 2009  saving the first 48 matrix rows for later
Thu Jun 11 22:41:48 2009  matrix is 559706 x 559954 (153.0 MB) with weight 38273617 (68.35/col)
Thu Jun 11 22:41:48 2009  sparse part has weight 34501380 (61.61/col)
Thu Jun 11 22:41:48 2009  matrix includes 64 packed rows
Thu Jun 11 22:41:48 2009  using block size 10922 for processor cache size 256 kB
Thu Jun 11 22:41:52 2009  commencing Lanczos iteration (2 threads)
Thu Jun 11 22:41:52 2009  memory use: 149.8 MB
Thu Jun 11 23:37:37 2009  lanczos halted after 8855 iterations (dim = 559706)
Thu Jun 11 23:37:38 2009  recovered 39 nontrivial dependencies
Thu Jun 11 23:37:38 2009  BLanczosTime: 3438
Thu Jun 11 23:37:38 2009  elapsed time 00:57:20
Thu Jun 11 23:42:07 2009  
Thu Jun 11 23:42:07 2009  
Thu Jun 11 23:42:07 2009  Msieve v. 1.41
Thu Jun 11 23:42:07 2009  random seeds: f3d8e841 ee630f48
Thu Jun 11 23:42:07 2009  factoring 9763436759606743427904739583306785308462946373464374213867612168717174093348236091973396634356359866256404708584327307961415747853 (130 digits)
Thu Jun 11 23:42:09 2009  searching for 15-digit factors
Thu Jun 11 23:42:09 2009  commencing number field sieve (130-digit input)
Thu Jun 11 23:42:09 2009  R0: -1000000000000000000000000000000000
Thu Jun 11 23:42:09 2009  R1:  1
Thu Jun 11 23:42:09 2009  A0:  43
Thu Jun 11 23:42:09 2009  A1:  0
Thu Jun 11 23:42:09 2009  A2:  0
Thu Jun 11 23:42:09 2009  A3:  0
Thu Jun 11 23:42:09 2009  A4:  0
Thu Jun 11 23:42:09 2009  A5:  650
Thu Jun 11 23:42:09 2009  skew 1.00, size 9.555107e-12, alpha -0.317313, combined = 3.222005e-10
Thu Jun 11 23:42:10 2009  
Thu Jun 11 23:42:10 2009  commencing square root phase
Thu Jun 11 23:42:10 2009  reading relations for dependency 1
Thu Jun 11 23:42:10 2009  read 279367 cycles
Thu Jun 11 23:42:10 2009  cycles contain 921779 unique relations
Thu Jun 11 23:42:27 2009  read 921779 relations
Thu Jun 11 23:42:33 2009  multiplying 729442 relations
Thu Jun 11 23:44:19 2009  multiply complete, coefficients have about 22.36 million bits
Thu Jun 11 23:44:20 2009  initial square root is modulo 2636251
Thu Jun 11 23:47:12 2009  reading relations for dependency 2
Thu Jun 11 23:47:12 2009  read 279179 cycles
Thu Jun 11 23:47:13 2009  cycles contain 921197 unique relations
Thu Jun 11 23:47:29 2009  read 921197 relations
Thu Jun 11 23:47:35 2009  multiplying 728430 relations
Thu Jun 11 23:49:22 2009  multiply complete, coefficients have about 22.33 million bits
Thu Jun 11 23:49:22 2009  initial square root is modulo 2586791
Thu Jun 11 23:52:15 2009  sqrtTime: 605
Thu Jun 11 23:52:15 2009  prp57 factor: 450631373675458452337775455499947328084685648775502985779
Thu Jun 11 23:52:15 2009  prp74 factor: 21666127415793961010964729859371091707932535791390299034807201472008220607
Thu Jun 11 23:52:15 2009  elapsed time 00:10:08

GGNFS for sieving, msieve for post processing

Athlon 64 X2 3600+, 1 GB RAM

2416540618929028067669513756315393816139046863325989248996067013124199091486295011457802290992087222445824703172180542641244773807423934871823<142>

6350896847958870927475301612070577433786600427541<49>
380503836982596483446568644330742044611360532394516326298199791512990729260726018085652941203<93>

Number: n
N=2416540618929028067669513756315393816139046863325989248996067013124199091486295011457802290992087222445824703172180542641244773807423934871823
  ( 142 digits)
SNFS difficulty: 168 digits.
Divisors found:

Sat Jul 19 16:15:17 2008  prp49 factor: 6350896847958870927475301612070577433786600427541
Sat Jul 19 16:15:17 2008  prp93 factor: 380503836982596483446568644330742044611360532394516326298199791512990729260726018085652941203
Sat Jul 19 16:15:17 2008  elapsed time 02:23:29 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 44.76 hours.
Scaled time: 82.09 units (timescale=1.834).
Factorization parameters were as follows:
name: KA_7_2_166_7
n: 2416540618929028067669513756315393816139046863325989248996067013124199091486295011457802290992087222445824703172180542641244773807423934871823
skew: 0.37
deg: 5
c5: 6500
c0: 43
m: 1000000000000000000000000000000000
type: snfs
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved  special-q in [100000, 2700209)
Primes: RFBsize:399993, AFBsize:399914, largePrimes:9845687 encountered
Relations: rels:9387478, finalFF:832705
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 44.42 hours.
Total relation processing time: 0.34 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,50,50,2.5,2.5,100000
total time: 44.76 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

19113958229382764022416910172563472600191966665754415602250152737562817069743686536690566748519854859251484268130476545867407859706526374365134641813<149>

792147391952173569345614293181560386713273086864783950340692957382755593<72>
24129295158415142625439656524867185952404391593366896845223628197631014762541<77>

N=19113958229382764022416910172563472600191966665754415602250152737562817069743686536690566748519854859251484268130476545867407859706526374365134641813
  ( 149 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=792147391952173569345614293181560386713273086864783950340692957382755593 (pp72)
 r2=24129295158415142625439656524867185952404391593366896845223628197631014762541 (pp77)
Version: Msieve-1.40
Total time: 76.03 hours.
Scaled time: 143.16 units (timescale=1.883).
Factorization parameters were as follows:
n: 19113958229382764022416910172563472600191966665754415602250152737562817069743686536690566748519854859251484268130476545867407859706526374365134641813
m: 10000000000000000000000000000000000
deg: 5
c5: 6500
c0: 43
skew: 0.37
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 200000Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2750000, 6550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 845758 x 845986
Total sieving time: 73.92 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.93 hours.
Time per square root: 1.07 hours.
Prototype def-par.txt line would be:
snfs,173.000,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 76.03 hours.
 --------- CPU info (if available) ----------

3924125310964336084779407887834582549766049138373034995181290203503151529920176472249351489929430782545390012911988106223102213423579050921517149<145>

1449464669051073897128725775862333795857342147055903749<55>
2707292833521328203621638640560784095385527451307697738097558655304617787389888950711636601<91>

N=3924125310964336084779407887834582549766049138373034995181290203503151529920176472249351489929430782545390012911988106223102213423579050921517149
  ( 145 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=1449464669051073897128725775862333795857342147055903749
 r2=2707292833521328203621638640560784095385527451307697738097558655304617787389888950711636601
Version:
Total time: 344.47 hours.
Scaled time: 452.98 units (timescale=1.315).
Factorization parameters were as follows:
n: 3924125310964336084779407887834582549766049138373034995181290203503151529920176472249351489929430782545390012911988106223102213423579050921517149
m: 100000000000000000000000000000000000
deg: 5
c5: 650
c0: 43
skew: 0.58
# Murphy_E = 1.287e-10
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3200000, 6900001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1039613 x 1039861
Total sieving time: 344.47 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6400000,6400000,28,28,53,53,2.5,2.5,100000
total time: 344.47 hours.
 --------- CPU info (if available) ----------

24841527200121408189725500987500695192188121391618205643797489038423760737932664450293443638344033134614211306494086279169428157930654912309084669790284674478477512407<167>

16924478768088386980498460554883134209509010986941801847151531818618471942261317<80>
1467786839436429428180563997498291748574948606652120905924251950685514095210980066161771<88>

Number: n
N=24841527200121408189725500987500695192188121391618205643797489038423760737932664450293443638344033134614211306494086279169428157930654912309084669790284674478477512407
  ( 167 digits)
SNFS difficulty: 178 digits.
Divisors found:

Tue Feb  7 18:58:04 2012  prp80 factor: 16924478768088386980498460554883134209509010986941801847151531818618471942261317
Tue Feb  7 18:58:04 2012  prp88 factor: 1467786839436429428180563997498291748574948606652120905924251950685514095210980066161771
Tue Feb  7 18:58:04 2012  elapsed time 02:36:33 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.651).
Factorization parameters were as follows:
name: KA_72227_177
n: 24841527200121408189725500987500695192188121391618205643797489038423760737932664450293443638344033134614211306494086279169428157930654912309084669790284674478477512407
m: 100000000000000000000000000000000000
#  c167, diff: 178.81
skew: 0.37
deg: 5
c5: 6500
c0: 43
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7328768 hash collisions in 76534222 relations (71698923 unique)
Msieve: matrix is 1102795 x 1103025 (306.9 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,178,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

251366816007577101065618042053352221821523137844856964191859283181181596625271613654687473427850914381627426295446108227776561308747596520466570270760596915673313346841<168>

823495925730701698329925620979931<33>

305243545418315365706523948809887230051449997362932667299646911325212873489978025312554118551698843099290398053736354512640249758339611<135>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2085669415
Step 1 took 6630ms
Step 2 took 4821ms
********** Factor found in step 2: 823495925730701698329925620979931
Found probable prime factor of 33 digits: 823495925730701698329925620979931
Composite cofactor 305243545418315365706523948809887230051449997362932667299646911325212873489978025312554118551698843099290398053736354512640249758339611 has 135 digits

GMP-ECM 6.3

305243545418315365706523948809887230051449997362932667299646911325212873489978025312554118551698843099290398053736354512640249758339611<135>

2883512186922976391516148614422398647<37>
73103392428164454693538645532408204663783<41>
1448062032706726649842998183838802213388455327191403022011<58>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1269583826
Step 1 took 8465ms
Step 2 took 4824ms
********** Factor found in step 2: 73103392428164454693538645532408204663783
Found probable prime factor of 41 digits: 73103392428164454693538645532408204663783

Divisors found:
 r1=2883512186922976391516148614422398647 (pp37)
 r2=1448062032706726649842998183838802213388455327191403022011 (pp58)
Version: Msieve v. 1.47 SVN367
Total time: 0.85 hours.
Scaled time: 2.03 units (timescale=2.400).
Factorization parameters were as follows:
name: test
type: gnfs
n:  4175504518730303928632433986349924694469193395234556304499340835294854340452980089283157619117
skew:  804738.33
Y0:  -38402205641904013907273
Y1:   1575870816971
c0:  -129995157620372599045866879
c1:   1476429946713228907665
c2:   441176170664309
c3:  -1825678900
c4:   1920
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [625000, 825001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 121790 x 122038
Total sieving time: 0.75 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,93,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1000000,1000000,25,25,44,44,2.4,2.4,40000
total time: 0.85 hours.

74179078364952204363062060815582478396550591667069958112149915809414721297998111234819293135605945867999471053996556946024015410171362184232450783399143090473417<161>

264945275282398797357057330593223170261<39>
9876799734361672860702797201677919331197<40>
28347124164014742156421402749776720447633854223036509771812018770989067950607373001<83>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1399407343
Step 1 took 28398ms
Step 2 took 10403ms
********** Factor found in step 2: 9876799734361672860702797201677919331197
Found probable prime factor of 40 digits: 9876799734361672860702797201677919331197


Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2865897740
Step 1 took 19201ms
********** Factor found in step 1: 264945275282398797357057330593223170261
Found probable prime factor of 39 digits: 264945275282398797357057330593223170261

26843367371977830009190807721372860615698193277053020929521814037157238925617427483851274091814193119989249009139934637579450403910214060327855586965839324283847959<164>

3789387619315317182057889730303485117494184850363<49>
7083827274663446762783944388898914030420067099226641511014512248767103111480158509042213895290917741693871303313493<115>

GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 26843367371977830009190807721372860615698193277053020929521814037157238925617427483851274091814193119989249009139934637579450403910214060327855586965839324283847959 (164 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3925383724
Step 1 took 42152ms
Step 2 took 17035ms
********** Factor found in step 2: 3789387619315317182057889730303485117494184850363
Found probable prime factor of 49 digits: 3789387619315317182057889730303485117494184850363
Probable prime cofactor 7083827274663446762783944388898914030420067099226641511014512248767103111480158509042213895290917741693871303313493 has 115 digits

598660672549356470685940719081056400666580071403292199882593105751106570886451910228787641074010913230446289632138996832723306480302540394280837815472375262163534915643<168>

7444483359376530123707340177521318836833474628003821134892941514151353736791082837<82>
80416684899339186819271435257284669841017111933411402390836349981380078636670050505039<86>

N=598660672549356470685940719081056400666580071403292199882593105751106570886451910228787641074010913230446289632138996832723306480302540394280837815472375262163534915643
  ( 168 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=7444483359376530123707340177521318836833474628003821134892941514151353736791082837 (pp82)
 r2=80416684899339186819271435257284669841017111933411402390836349981380078636670050505039 (pp86)
Version: Msieve v. 1.48
Total time:
Scaled time: 64.10 units (timescale=0.653).
Factorization parameters were as follows:
n: 598660672549356470685940719081056400666580071403292199882593105751106570886451910228787641074010913230446289632138996832723306480302540394280837815472375262163534915643
m: 10000000000000000000000000000000000000
deg: 5
c5: 65
c0: 43
skew: 0.92
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 1000000
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4550000, 11550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1741370 x 1741596
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,9100000,9100000,28,28,54,54,2.5,2.5,100000
total time:

16718710758983417904325764979115737352533734026329181743231117992679770513403951522113448936053249828131368509947780448280670564561<131>

3377652857328732875380257962975302947377<40>
4949801375445568906672988898650230437891483199484561725621942929232193814285739846837010593<91>

GMP-ECM 6.2.1 [powered by GMP 4.1.4] [ECM]
Input number is 16718710758983417904325764979115737352533734026329181743231117992679770513403951522113448936053249828131368509947780448280670564561 (131 digits)
Using B1=3520000, B2=5707365310, polynomial Dickson(6), sigma=225760141
Step 1 took 45328ms
Step 2 took 18969ms
********** Factor found in step 2: 3377652857328732875380257962975302947377
Found probable prime factor of 40 digits: 3377652857328732875380257962975302947377
Probable prime cofactor 4949801375445568906672988898650230437891483199484561725621942929232193814285739846837010593 has 91 digits

218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855219<189>

344169962009931548308268017081595995989862134133897845813087998330100327017231481133237154389<93>
635892852406752029790139607998304098096231541911114002251357000552628373073014289921768913242471<96>

Number: 72227_189
N=218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855219
  ( 189 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=344169962009931548308268017081595995989862134133897845813087998330100327017231481133237154389
 r2=635892852406752029790139607998304098096231541911114002251357000552628373073014289921768913242471
Version: 
Total time: 327.17 hours.
Scaled time: 656.96 units (timescale=2.008).
Factorization parameters were as follows:
n: 218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855219
m: 100000000000000000000000000000000000000
deg: 5
c5: 13
c0: 86
skew: 1.46
type: snfs
lss: 1
rlim: 10700000
alim: 10700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10700000/10700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5350000, 8950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1761109 x 1761357
Total sieving time: 327.17 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,10700000,10700000,28,28,54,54,2.5,2.5,100000
total time: 327.17 hours.
 --------- CPU info (if available) ----------

1782273046678260456560503126617621393287999382158763878059972237503028737809365356256810301598403157692043216543126913724589893011698315177706705791974649<154>

52221983040684916683314475234920133049556432568891950626849955577455497<71>
34128789121043785615502713634593303174390510366034241176104498197080365078029189617<83>

p71 factor: 52221983040684916683314475234920133049556432568891950626849955577455497
p83 factor: 34128789121043785615502713634593303174390510366034241176104498197080365078029189617


Msieve v. 1.54 (SVN 1032M)
random seeds: ec4c74b1 94b1ba27
factoring 1782273046678260456560503126617621393287999382158763878059972237503028737809365356256810301598403157692043216543126913724589893011698315177706705791974649 (154 digits)
searching for 15-digit factors
commencing number field sieve (154-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 43
A1: 0
A2: 0
A3: 0
A4: 0
A5: 650
skew 1.00, size 1.702e-13, alpha -0.317, combined = 2.828e-11 rroots = 1

commencing relation filtering
estimated available RAM is 48213.5 MB
commencing duplicate removal, pass 1
found 2431114 hash collisions in 37817613 relations
added 727902 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 38545515 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1254.3 MB
keeping 40533501 ideals with weight <= 200, target excess is 207530
commencing in-memory singleton removal
begin with 38545515 relations and 40533501 unique ideals
reduce to 15326044 relations and 13431121 ideals in 13 passes
max relations containing the same ideal: 109
removing 2045274 relations and 1645274 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 13280770 relations and 13431121 unique ideals
reduce to 13055244 relations and 11552819 ideals in 9 passes
max relations containing the same ideal: 101
removing 1631887 relations and 1231887 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 11423357 relations and 11552819 unique ideals
reduce to 11256235 relations and 10148584 ideals in 8 passes
max relations containing the same ideal: 92
removing 1528467 relations and 1128467 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9727768 relations and 10148584 unique ideals
reduce to 9554867 relations and 8841221 ideals in 8 passes
max relations containing the same ideal: 82
removing 1503447 relations and 1103447 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 8051420 relations and 8841221 unique ideals
reduce to 7846526 relations and 7524828 ideals in 10 passes
max relations containing the same ideal: 71
removing 443565 relations and 362602 ideals in 80963 cliques
commencing in-memory singleton removal
begin with 7402961 relations and 7524828 unique ideals
reduce to 7382786 relations and 7141849 ideals in 6 passes
max relations containing the same ideal: 67
relations with 0 large ideals: 4409
relations with 1 large ideals: 13185
relations with 2 large ideals: 104659
relations with 3 large ideals: 455649
relations with 4 large ideals: 1178621
relations with 5 large ideals: 1897258
relations with 6 large ideals: 1984962
relations with 7+ large ideals: 1744043
commencing 2-way merge
reduce to 4564851 relation sets and 4323914 unique ideals
commencing full merge
memory use: 495.2 MB
found 2115669 cycles, need 2088114
weight of 2088114 cycles is about 188212150 (90.13/cycle)
distribution of cycle lengths:
1 relations: 166770
2 relations: 168125
3 relations: 175957
4 relations: 175539
5 relations: 173499
6 relations: 162550
7 relations: 155492
8 relations: 142104
9 relations: 127976
10+ relations: 640102
heaviest cycle: 26 relations
commencing cycle optimization
start with 15593004 relations
pruned 529693 relations
memory use: 460.5 MB
distribution of cycle lengths:
1 relations: 166770
2 relations: 172094
3 relations: 182754
4 relations: 181462
5 relations: 180232
6 relations: 168257
7 relations: 160736
8 relations: 145829
9 relations: 130775
10+ relations: 599205
heaviest cycle: 26 relations
RelProcTime: 715
elapsed time 00:11:56


Msieve v. 1.54 (SVN 1032M)
random seeds: 2b10962e d55d3459
factoring 1782273046678260456560503126617621393287999382158763878059972237503028737809365356256810301598403157692043216543126913724589893011698315177706705791974649 (154 digits)
searching for 15-digit factors
commencing number field sieve (154-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 43
A1: 0
A2: 0
A3: 0
A4: 0
A5: 650
skew 1.00, size 1.702e-13, alpha -0.317, combined = 2.828e-11 rroots = 1

commencing linear algebra
read 2088114 cycles
cycles contain 7226744 unique relations
read 7226744 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 899.9 MB
read 2088114 cycles
matrix is 2087936 x 2088114 (767.4 MB) with weight 229112791 (109.72/col)
sparse part has weight 178201710 (85.34/col)
filtering completed in 2 passes
matrix is 2087297 x 2087474 (767.3 MB) with weight 229088198 (109.74/col)
sparse part has weight 178193014 (85.36/col)
matrix starts at (0, 0)
matrix is 2087297 x 2087474 (767.3 MB) with weight 229088198 (109.74/col)
sparse part has weight 178193014 (85.36/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2087249 x 2087474 (733.6 MB) with weight 188036330 (90.08/col)
sparse part has weight 171439106 (82.13/col)
using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
commencing Lanczos iteration (8 threads)
memory use: 694.6 MB
linear algebra at 0.1%, ETA 1h31m
checkpointing every 1460000 dimensions
lanczos halted after 33006 iterations (dim = 2087243)
recovered 35 nontrivial dependencies
BLanczosTime: 5758
elapsed time 01:36:00


Msieve v. 1.54 (SVN 1032M)
random seeds: 3830cb15 b45d1919
factoring 1782273046678260456560503126617621393287999382158763878059972237503028737809365356256810301598403157692043216543126913724589893011698315177706705791974649 (154 digits)
searching for 15-digit factors
commencing number field sieve (154-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 43
A1: 0
A2: 0
A3: 0
A4: 0
A5: 650
skew 1.00, size 1.702e-13, alpha -0.317, combined = 2.828e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1043288 cycles
cycles contain 3611378 unique relations
read 3611378 relations
multiplying 3611378 relations
multiply complete, coefficients have about 112.17 million bits
initial square root is modulo 112466671
GCD is 1, no factor found
reading relations for dependency 2
read 1044052 cycles
cycles contain 3613706 unique relations
read 3613706 relations
multiplying 3613706 relations
multiply complete, coefficients have about 112.23 million bits
initial square root is modulo 113713891
sqrtTime: 590
p71 factor: 52221983040684916683314475234920133049556432568891950626849955577455497
p83 factor: 34128789121043785615502713634593303174390510366034241176104498197080365078029189617
elapsed time 00:09:51

CADO-NFS/Msieve

486874979152054047897013649779237370325053123698747918110101972070610494190479560572295917431829448321417857484549430468778981389285777311111520071281597<153>

294358572551679635770399772083632847170571521426276653<54>
1654020044096303308649779937852402717827808708128481875299849886885494081655932708130521053016215249<100>

p54 factor: 294358572551679635770399772083632847170571521426276653
p100 factor: 1654020044096303308649779937852402717827808708128481875299849886885494081655932708130521053016215249


Msieve v. 1.54 (SVN 1034)
random seeds: 5b03caeb 4eff9095
factoring 486874979152054047897013649779237370325053123698747918110101972070610494190479560572295917431829448321417857484549430468778981389285777311111520071281597 (153 digits)
searching for 15-digit factors
commencing number field sieve (153-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 43
A1: 0
A2: 0
A3: 0
A4: 0
A5: 6500
skew 1.00, size 1.501e-13, alpha -1.322, combined = 2.564e-11 rroots = 1

commencing relation filtering
estimated available RAM is 15892.2 MB
commencing duplicate removal, pass 1
found 2097026 hash collisions in 35001250 relations
added 726349 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 35727599 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1163.7 MB
keeping 39104566 ideals with weight <= 200, target excess is 190590
commencing in-memory singleton removal
begin with 35727599 relations and 39104566 unique ideals
reduce to 12668115 relations and 11866823 ideals in 15 passes
max relations containing the same ideal: 102
removing 1800460 relations and 1510356 ideals in 290104 cliques
commencing in-memory singleton removal
begin with 10867655 relations and 11866823 unique ideals
reduce to 10634674 relations and 10116394 ideals in 10 passes
max relations containing the same ideal: 92
removing 1434098 relations and 1143994 ideals in 290104 cliques
commencing in-memory singleton removal
begin with 9200576 relations and 10116394 unique ideals
reduce to 9020835 relations and 8787603 ideals in 9 passes
max relations containing the same ideal: 82
removing 108868 relations and 96721 ideals in 12147 cliques
commencing in-memory singleton removal
begin with 8911967 relations and 8787603 unique ideals
reduce to 8911040 relations and 8689953 ideals in 6 passes
max relations containing the same ideal: 81
relations with 0 large ideals: 3932
relations with 1 large ideals: 9935
relations with 2 large ideals: 85555
relations with 3 large ideals: 405936
relations with 4 large ideals: 1167464
relations with 5 large ideals: 2109165
relations with 6 large ideals: 2499537
relations with 7+ large ideals: 2629516
commencing 2-way merge
reduce to 5432206 relation sets and 5211119 unique ideals
commencing full merge
memory use: 584.1 MB
found 2495035 cycles, need 2477319
weight of 2477319 cycles is about 223029713 (90.03/cycle)
distribution of cycle lengths:
1 relations: 212439
2 relations: 219273
3 relations: 227985
4 relations: 215583
5 relations: 205197
6 relations: 185638
7 relations: 170612
8 relations: 152511
9 relations: 135398
10+ relations: 752683
heaviest cycle: 28 relations
commencing cycle optimization
start with 18618503 relations
pruned 581949 relations
memory use: 553.6 MB
distribution of cycle lengths:
1 relations: 212439
2 relations: 224663
3 relations: 236375
4 relations: 222337
5 relations: 211883
6 relations: 190574
7 relations: 175002
8 relations: 154766
9 relations: 137005
10+ relations: 712275
heaviest cycle: 28 relations
RelProcTime: 963
elapsed time 00:16:04


Msieve v. 1.54 (SVN 1034)
random seeds: 16e5be0e 6da7aee6
factoring 486874979152054047897013649779237370325053123698747918110101972070610494190479560572295917431829448321417857484549430468778981389285777311111520071281597 (153 digits)
searching for 15-digit factors
commencing number field sieve (153-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 43
A1: 0
A2: 0
A3: 0
A4: 0
A5: 6500
skew 1.00, size 1.501e-13, alpha -1.322, combined = 2.564e-11 rroots = 1

commencing linear algebra
read 2477319 cycles
cycles contain 8736697 unique relations
read 8736697 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1070.4 MB
read 2477319 cycles
matrix is 2477141 x 2477319 (912.3 MB) with weight 273391462 (110.36/col)
sparse part has weight 211891584 (85.53/col)
filtering completed in 2 passes
matrix is 2476142 x 2476320 (912.2 MB) with weight 273352037 (110.39/col)
sparse part has weight 211878558 (85.56/col)
matrix starts at (0, 0)
matrix is 2476142 x 2476320 (912.2 MB) with weight 273352037 (110.39/col)
sparse part has weight 211878558 (85.56/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2476094 x 2476320 (875.8 MB) with weight 225652019 (91.12/col)
sparse part has weight 204817609 (82.71/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (8 threads)
memory use: 828.9 MB
linear algebra at 0.1%, ETA 3h 9m
checkpointing every 820000 dimensions
lanczos halted after 39159 iterations (dim = 2476092)
recovered 39 nontrivial dependencies
BLanczosTime: 10666
elapsed time 02:57:47


Msieve v. 1.54 (SVN 1034)
random seeds: a3a4b12e 806a805f
factoring 486874979152054047897013649779237370325053123698747918110101972070610494190479560572295917431829448321417857484549430468778981389285777311111520071281597 (153 digits)
searching for 15-digit factors
commencing number field sieve (153-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 43
A1: 0
A2: 0
A3: 0
A4: 0
A5: 6500
skew 1.00, size 1.501e-13, alpha -1.322, combined = 2.564e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1237541 cycles
cycles contain 4366306 unique relations
read 4366306 relations
multiplying 4366306 relations
multiply complete, coefficients have about 148.69 million bits
initial square root is modulo 216841
GCD is N, no factor found
reading relations for dependency 2
read 1238074 cycles
cycles contain 4366362 unique relations
read 4366362 relations
multiplying 4366362 relations
multiply complete, coefficients have about 148.69 million bits
initial square root is modulo 216841
GCD is N, no factor found
reading relations for dependency 3
read 1239974 cycles
cycles contain 4371888 unique relations
read 4371888 relations
multiplying 4371888 relations
multiply complete, coefficients have about 148.88 million bits
initial square root is modulo 220291
GCD is 1, no factor found
reading relations for dependency 4
read 1236751 cycles
cycles contain 4365902 unique relations
read 4365902 relations
multiplying 4365902 relations
multiply complete, coefficients have about 148.67 million bits
initial square root is modulo 216551
sqrtTime: 1179
p54 factor: 294358572551679635770399772083632847170571521426276653
p100 factor: 1654020044096303308649779937852402717827808708128481875299849886885494081655932708130521053016215249
elapsed time 00:19:40

CADO-NFS/Msieve

51342884892057433455312940001374134071460125186488738669270628902692473553023740598975903026172358775182819833759679854214440062111976499446763280435693086553894515983<167>

115326965446741182383882334367601077<36>
445194102638276257875666239443579478667151909829177561391451215835535102758739321859646411649336599765918464445366740562540718601779<132>

Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=1756628656
Step 1 took 1716ms
Step 2 took 1186ms
********** Factor found in step 2: 115326965446741182383882334367601077
Found probable prime factor of 36 digits: 115326965446741182383882334367601077
Probable prime cofactor 445194102638276257875666239443579478667151909829177561391451215835535102758739321859646411649336599765918464445366740562540718601779 has 132 digits

GMP-ECM 6.3

361915551548092936690856728260962243092395288435318415127531360687931554555277499017489437662120609928123278868746527491815278447712128504835570870027714883030269861<165>

1402102904343454381764133316288206971751<40>

258123387682135011222846267624516085589584183508394557705931282349934931576760700930844237828804335573084740199280512918030611<126>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2051019199
Step 1 took 91190ms
Step 2 took 33688ms
********** Factor found in step 2: 1402102904343454381764133316288206971751
Found probable prime factor of 40 digits: 1402102904343454381764133316288206971751
Composite cofactor 258123387682135011222846267624516085589584183508394557705931282349934931576760700930844237828804335573084740199280512918030611 has 126 digits

258123387682135011222846267624516085589584183508394557705931282349934931576760700930844237828804335573084740199280512918030611<126>

14537407265769639621238988233731420607459<41>
17755806311481873392950205818502096009042430386860350880467949571046481024696478227729<86>

Mon Dec 31 12:50:39 2012  commencing relation filtering
Mon Dec 31 12:50:39 2012  estimated available RAM is 4096.0 MB
Mon Dec 31 12:50:39 2012  commencing duplicate removal, pass 1
Mon Dec 31 12:54:55 2012  found 1412344 hash collisions in 11526155 relations
Mon Dec 31 12:55:29 2012  added 55 free relations
Mon Dec 31 12:55:29 2012  commencing duplicate removal, pass 2
Mon Dec 31 12:55:36 2012  found 1151771 duplicates and 10374439 unique relations
Mon Dec 31 12:55:36 2012  memory use: 49.3 MB
Mon Dec 31 12:55:36 2012  reading ideals above 720000
Mon Dec 31 12:55:36 2012  commencing singleton removal, initial pass
Mon Dec 31 13:00:03 2012  memory use: 344.5 MB
Mon Dec 31 13:00:03 2012  reading all ideals from disk
Mon Dec 31 13:00:03 2012  memory use: 305.0 MB
Mon Dec 31 13:00:04 2012  commencing in-memory singleton removal
Mon Dec 31 13:00:05 2012  begin with 10374439 relations and 11275751 unique ideals
Mon Dec 31 13:00:16 2012  reduce to 4074937 relations and 3921510 ideals in 19 passes
Mon Dec 31 13:00:16 2012  max relations containing the same ideal: 84
Mon Dec 31 13:00:19 2012  removing 167871 relations and 158499 ideals in 9372 cliques
Mon Dec 31 13:00:19 2012  commencing in-memory singleton removal
Mon Dec 31 13:00:20 2012  begin with 3907066 relations and 3921510 unique ideals
Mon Dec 31 13:00:23 2012  reduce to 3901240 relations and 3757156 ideals in 8 passes
Mon Dec 31 13:00:23 2012  max relations containing the same ideal: 84
Mon Dec 31 13:00:25 2012  removing 119976 relations and 110604 ideals in 9372 cliques
Mon Dec 31 13:00:26 2012  commencing in-memory singleton removal
Mon Dec 31 13:00:26 2012  begin with 3781264 relations and 3757156 unique ideals
Mon Dec 31 13:00:29 2012  reduce to 3778097 relations and 3643369 ideals in 8 passes
Mon Dec 31 13:00:29 2012  max relations containing the same ideal: 79
Mon Dec 31 13:00:31 2012  relations with 0 large ideals: 486
Mon Dec 31 13:00:31 2012  relations with 1 large ideals: 2323
Mon Dec 31 13:00:31 2012  relations with 2 large ideals: 33715
Mon Dec 31 13:00:31 2012  relations with 3 large ideals: 197420
Mon Dec 31 13:00:31 2012  relations with 4 large ideals: 609187
Mon Dec 31 13:00:31 2012  relations with 5 large ideals: 1053584
Mon Dec 31 13:00:31 2012  relations with 6 large ideals: 1051593
Mon Dec 31 13:00:31 2012  relations with 7+ large ideals: 829789
Mon Dec 31 13:00:31 2012  commencing 2-way merge
Mon Dec 31 13:00:34 2012  reduce to 2136663 relation sets and 2001936 unique ideals
Mon Dec 31 13:00:34 2012  ignored 1 oversize relation sets
Mon Dec 31 13:00:34 2012  commencing full merge
Mon Dec 31 13:01:21 2012  memory use: 220.5 MB
Mon Dec 31 13:01:22 2012  found 1051211 cycles, need 1038136
Mon Dec 31 13:01:22 2012  weight of 1038136 cycles is about 72824493 (70.15/cycle)
Mon Dec 31 13:01:22 2012  distribution of cycle lengths:
Mon Dec 31 13:01:22 2012  1 relations: 141102
Mon Dec 31 13:01:22 2012  2 relations: 131058
Mon Dec 31 13:01:22 2012  3 relations: 126020
Mon Dec 31 13:01:22 2012  4 relations: 108119
Mon Dec 31 13:01:22 2012  5 relations: 93121
Mon Dec 31 13:01:22 2012  6 relations: 76876
Mon Dec 31 13:01:22 2012  7 relations: 66444
Mon Dec 31 13:01:22 2012  8 relations: 53874
Mon Dec 31 13:01:22 2012  9 relations: 44358
Mon Dec 31 13:01:22 2012  10+ relations: 197164
Mon Dec 31 13:01:22 2012  heaviest cycle: 25 relations
Mon Dec 31 13:01:23 2012  commencing cycle optimization
Mon Dec 31 13:01:25 2012  start with 6140221 relations
Mon Dec 31 13:01:37 2012  pruned 123485 relations
Mon Dec 31 13:01:38 2012  memory use: 210.7 MB
Mon Dec 31 13:01:38 2012  distribution of cycle lengths:
Mon Dec 31 13:01:38 2012  1 relations: 141102
Mon Dec 31 13:01:38 2012  2 relations: 133984
Mon Dec 31 13:01:38 2012  3 relations: 130020
Mon Dec 31 13:01:38 2012  4 relations: 109767
Mon Dec 31 13:01:38 2012  5 relations: 94519
Mon Dec 31 13:01:38 2012  6 relations: 77394
Mon Dec 31 13:01:38 2012  7 relations: 66216
Mon Dec 31 13:01:38 2012  8 relations: 53219
Mon Dec 31 13:01:38 2012  9 relations: 43665
Mon Dec 31 13:01:38 2012  10+ relations: 188250
Mon Dec 31 13:01:38 2012  heaviest cycle: 25 relations
Mon Dec 31 13:01:39 2012  RelProcTime: 660
Mon Dec 31 13:01:40 2012
Mon Dec 31 13:01:40 2012  commencing linear algebra
Mon Dec 31 13:01:40 2012  read 1038136 cycles
Mon Dec 31 13:01:43 2012  cycles contain 3602439 unique relations
Mon Dec 31 13:02:58 2012  read 3602439 relations
Mon Dec 31 13:03:04 2012  using 20 quadratic characters above 134216838
Mon Dec 31 13:03:36 2012  building initial matrix
Mon Dec 31 13:04:52 2012  memory use: 452.1 MB
Mon Dec 31 13:04:53 2012  read 1038136 cycles
Mon Dec 31 13:04:54 2012  matrix is 1037949 x 1038136 (311.1 MB) with weight 97754703 (94.16/col)
Mon Dec 31 13:04:54 2012  sparse part has weight 70132592 (67.56/col)
Mon Dec 31 13:05:12 2012  filtering completed in 2 passes
Mon Dec 31 13:05:13 2012  matrix is 1033955 x 1034141 (310.6 MB) with weight 97561351 (94.34/col)
Mon Dec 31 13:05:13 2012  sparse part has weight 70059377 (67.75/col)
Mon Dec 31 13:05:17 2012  matrix starts at (0, 0)
Mon Dec 31 13:05:17 2012  matrix is 1033955 x 1034141 (310.6 MB) with weight 97561351 (94.34/col)
Mon Dec 31 13:05:17 2012  sparse part has weight 70059377 (67.75/col)
Mon Dec 31 13:05:17 2012  saving the first 48 matrix rows for later
Mon Dec 31 13:05:18 2012  matrix includes 64 packed rows
Mon Dec 31 13:05:18 2012  matrix is 1033907 x 1034141 (300.1 MB) with weight 77724953 (75.16/col)
Mon Dec 31 13:05:18 2012  sparse part has weight 68323482 (66.07/col)
Mon Dec 31 13:05:18 2012  using block size 262144 for processor cache size 12288 kB
Mon Dec 31 13:05:23 2012  commencing Lanczos iteration (8 threads)
Mon Dec 31 13:05:23 2012  memory use: 379.2 MB
Mon Dec 31 13:05:30 2012  linear algebra at 0.1%, ETA 1h19m
Mon Dec 31 13:05:33 2012  checkpointing every 730000 dimensions
Mon Dec 31 14:28:59 2012  lanczos halted after 16350 iterations (dim = 1033905)
Mon Dec 31 14:29:02 2012  recovered 30 nontrivial dependencies
Mon Dec 31 14:29:02 2012  BLanczosTime: 5242
Mon Dec 31 14:29:02 2012
Mon Dec 31 14:29:02 2012  commencing square root phase
Mon Dec 31 14:29:02 2012  reading relations for dependency 1
Mon Dec 31 14:29:03 2012  read 516026 cycles
Mon Dec 31 14:29:04 2012  cycles contain 1799374 unique relations
Mon Dec 31 14:29:41 2012  read 1799374 relations
Mon Dec 31 14:29:56 2012  multiplying 1799374 relations
Mon Dec 31 14:34:33 2012  multiply complete, coefficients have about 76.86 million bits
Mon Dec 31 14:34:34 2012  initial square root is modulo 328837
Mon Dec 31 14:39:58 2012  GCD is 1, no factor found
Mon Dec 31 14:39:58 2012  reading relations for dependency 2
Mon Dec 31 14:39:58 2012  read 517177 cycles
Mon Dec 31 14:40:00 2012  cycles contain 1802298 unique relations
Mon Dec 31 14:40:46 2012  read 1802298 relations
Mon Dec 31 14:41:01 2012  multiplying 1802298 relations
Mon Dec 31 14:45:44 2012  multiply complete, coefficients have about 76.98 million bits
Mon Dec 31 14:45:46 2012  initial square root is modulo 335809
Mon Dec 31 14:51:16 2012  GCD is N, no factor found
Mon Dec 31 14:51:16 2012  reading relations for dependency 3
Mon Dec 31 14:51:16 2012  read 516585 cycles
Mon Dec 31 14:51:17 2012  cycles contain 1799214 unique relations
Mon Dec 31 14:51:58 2012  read 1799214 relations
Mon Dec 31 14:52:11 2012  multiplying 1799214 relations
Mon Dec 31 14:56:31 2012  multiply complete, coefficients have about 76.85 million bits
Mon Dec 31 14:56:32 2012  initial square root is modulo 328411
Mon Dec 31 15:02:00 2012  sqrtTime: 1978

prp41 = 14537407265769639621238988233731420607459
prp86 = 17755806311481873392950205818502096009042430386860350880467949571046481024696478227729
NFS elapsed time = 67637.6190 seconds.

33128142207473777176945404153982601803048577023208399107348447299009815628994123133828678566876364239193891794405342788533236876415154600146050256727047700544305060079593266736695481983456081<191>

3296983163579069319676872740954569392586656179002403786310639061072493998957<76>
10048016797122866874080447284120713641197698468664489778429550873258543489602898482403791717816120439946971679116533<116>

Number: 8
N=33128142207473777176945404153982601803048577023208399107348447299009815628994123133828678566876364239193891794405342788533236876415154600146050256727047700544305060079593266736695481983456081
  ( 191 digits)
SNFS difficulty: 198 digits.
Divisors found:
 r1=3296983163579069319676872740954569392586656179002403786310639061072493998957 (pp76)
 r2=10048016797122866874080447284120713641197698468664489778429550873258543489602898482403791717816120439946971679116533 (pp116)
Version: Msieve-1.40
Total time: 538.65 hours.
Scaled time: 936.71 units (timescale=1.739).
Factorization parameters were as follows:
n: 33128142207473777176945404153982601803048577023208399107348447299009815628994123133828678566876364239193891794405342788533236876415154600146050256727047700544305060079593266736695481983456081
m: 1000000000000000000000000000000000000000
deg: 5
c5: 6500
c0: 43
skew: 0.37
type: snfs
lss: 1
rlim: 14400000
alim: 14400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14400000/14400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [7200000, 15200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2608160 x 2608384
Total sieving time: 525.06 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 11.95 hours.
Time per square root: 1.33 hours.
Prototype def-par.txt line would be:
snfs,198.000,5,0,0,0,0,0,0,0,0,14400000,14400000,28,28,55,55,2.5,2.5,100000
total time: 538.65 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

9075345147887319369378718815773777753721393446681799098811666996799334278523970458312525918126766538082598102755710931923311766120044367112683111039334958682080427576972170881719001461<184>

28471682109840050372193837501779<32>

318749876205972548821813341629779365441848850494352846143527502420614252646982685843675204339592529657649170873275001196315016608022538467503393979233559<153>

Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=1306081229
Step 1 took 1919ms
Step 2 took 1388ms
********** Factor found in step 2: 28471682109840050372193837501779
Found probable prime factor of 32 digits: 28471682109840050372193837501779
Composite cofactor 318749876205972548821813341629779365441848850494352846143527502420614252646982685843675204339592529657649170873275001196315016608022538467503393979233559 has 153 digits

GMP-ECM 6.3

318749876205972548821813341629779365441848850494352846143527502420614252646982685843675204339592529657649170873275001196315016608022538467503393979233559<153>

87378325198946765853726945510689126651760281<44>
71441238231144875885241109232738228327672239860070391<53>
51061942865720783341876540329370343841481291375631496329<56>

GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 318749876205972548821813341629779365441848850494352846143527502420614252646982685843675204339592529657649170873275001196315016608022538467503393979233559 (153 digits)
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3970277437
Step 1 took 216483ms
Step 2 took 74210ms
********** Factor found in step 2: 71441238231144875885241109232738228327672239860070391
Found probable prime factor of 53 digits: 71441238231144875885241109232738228327672239860070391
Composite cofactor 4461707049010990357444010204500684270167142931469051714214808131640461584898937386553679053839508449 has 100 digits

Number: 72227_199
N=4461707049010990357444010204500684270167142931469051714214808131640461584898937386553679053839508449
  ( 100 digits)
Divisors found:
 r1=87378325198946765853726945510689126651760281 (pp44)
 r2=51061942865720783341876540329370343841481291375631496329 (pp56)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 7.17 hours.
Scaled time: 10.77 units (timescale=1.502).
Factorization parameters were as follows:
name: 72227_199
n: 4461707049010990357444010204500684270167142931469051714214808131640461584898937386553679053839508449
skew: 6167.89
# norm 5.71e+013
c5: 15120
c4: -772061716
c3: 1326512090208
c2: 20211464956283487
c1: 36822775836286190092
c0: 35958144716370784892100
# alpha -5.73
Y1: 23187656179
Y0: -12416469760461926321
# Murphy_E 3.59e-009
# M 717650254256422493678904901983949230548504762942963510839897379299998569851955321387465852467827373
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 177096 x 177321
Polynomial selection time: 0.38 hours.
Total sieving time: 6.60 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,99,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 7.17 hours.
 --------- CPU info (if available) ----------

168844264222182799466217922006804227345999691484949578598710433668164891643350476948166153983826119380342152044173727572014138081732655393955313660783414879366755277048295651321247602230247<189>

71704699865856532850830859376403<32>
2354716839175851519186317699947818472495188897661138576738547006173395935296100613647091778301850282380361676102788439579384090431856799844296972098202195549<157>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3378308294
Step 1 took 10561ms
Step 2 took 6537ms
********** Factor found in step 2: 71704699865856532850830859376403
Found probable prime factor of 32 digits: 71704699865856532850830859376403
Probable prime cofactor 2354716839175851519186317699947818472495188897661138576738547006173395935296100613647091778301850282380361676102788439579384090431856799844296972098202195549 has 157 digits

GMP-ECM 6.3

123940303911965555997728539617560058199377905158590649274642065994168123309896744366641072254589570634639161874559243662121192307556623418614731066873057002782534009735487845927217<180>

100216252855031186227645983746081851<36>
1236728578260181319555790168223370041764691925965318636002510125690519220313213556246535710353807014020475332990001869103834344179503878934523267<145>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3493363545
Step 1 took 33537ms
Step 2 took 11784ms
********** Factor found in step 2: 100216252855031186227645983746081851
Found probable prime factor of 36 digits: 100216252855031186227645983746081851

46868809666221802408222281362467417011315655878964932980499630575502784422894264539504609623858434763304381975715876899378520558491671898608415824035807609695513977493232013143191<179>

136212090412074493071546974951472159569368326355795602365266339748615509594880274584702947109911225907063297707530603925028963762154927797659<141>

730478527383826673344857408298101353<36>
12192039248965064351142147791754562238737041427277633<53>
15294379130012970568036268211683303287281332818000291<53>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=495116721
Step 1 took 14229ms
Step 2 took 5247ms
********** Factor found in step 2: 730478527383826673344857408298101353
Found probable prime factor of 36 digits: 730478527383826673344857408298101353
Composite cofactor 186469670641670291985795010606710034875021548437616197235663053651233860009126222293809902039315131791203 has 105 digits

GNFS
prp53 = 12192039248965064351142147791754562238737041427277633
prp53 = 15294379130012970568036268211683303287281332818000291
NFS elapsed time = 8372.4204 seconds.

2296063840859644165053572057780158777188349792818004550332459883367499489371359436509112219032696675494260056812465108335873137685732535257517685260792268457180817050536611971248472302606538604748497<199>

40115755547150797655531031435758929140398062363<47>
57235961520428623730745436828639895614459931908068160383948913017002658418116018956881297991175290715829394806320176402409725742084931584732725168857219<152>

Number: n
N=2296063840859644165053572057780158777188349792818004550332459883367499489371359436509112219032696675494260056812465108335873137685732535257517685260792268457180817050536611971248472302606538604748497
  ( 199 digits)
SNFS difficulty: 210 digits.
Divisors found:

Mon Apr 19 20:32:21 2021  p47 factor: 40115755547150797655531031435758929140398062363
Mon Apr 19 20:32:21 2021  p152 factor: 57235961520428623730745436828639895614459931908068160383948913017002658418116018956881297991175290715829394806320176402409725742084931584732725168857219
Mon Apr 19 20:32:21 2021  elapsed time 05:14:42 (Msieve 1.54 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.342).
Factorization parameters were as follows:
#
# N = 65x10^208+43 = 72(207)7
#
n: 2296063840859644165053572057780158777188349792818004550332459883367499489371359436509112219032696675494260056812465108335873137685732535257517685260792268457180817050536611971248472302606538604748497
m: 500000000000000000000000000000000000000000
deg: 5
c5: 104
c0: 215
skew: 1.16
# Murphy_E = 5.507e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 38700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6960901 hash collisions in 50309333 relations (45131306 unique)
Msieve: matrix is 3375663 x 3375888 (1187.1 MB)

Sieving start time : 2021/04/19 01:16:10
Sieving end time  : 2021/04/19 15:16:49

Total sieving time: 14hrs 0min 39secs.

Total relation processing time: 4hrs 24min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 35min 58sec.

Prototype def-par.txt line would be:
snfs,210,5,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118393] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241108K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486128K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.30 BogoMIPS (lpj=12798612)
[    0.152049] smpboot: Total of 16 processors activated (102388.89 BogoMIPS)

529724246192221416079769344725698256321785799340134642102312415767240014286745708149381496399174378094119654241963044750615635476867946604877752727499724750535130129560471625841862785650195046001089<198>

475445105590349934014096890404310330973570223350129711059459273086843050751249294773351391071693235336969355815928728708849303760851935021110319197234201633331706295624567878645590070730007<189>

11931397423229425769307008199438951085012843143851<50>
161347048016003050062177492821493170266425092049017<51>
246972185598202036376889235662462497894811207124313952439800744977288612800931943957848621<90>

Number: 72227_219
N = 475445105590349934014096890404310330973570223350129711059459273086843050751249294773351391071693235336969355815928728708849303760851935021110319197234201633331706295624567878645590070730007 (189 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=11931397423229425769307008199438951085012843143851 (pp50)
r2=161347048016003050062177492821493170266425092049017 (pp51)
r3=246972185598202036376889235662462497894811207124313952439800744977288612800931943957848621 (pp90)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 69.85 hours.
Factorization parameters were as follows:
n: 475445105590349934014096890404310330973570223350129711059459273086843050751249294773351391071693235336969355815928728708849303760851935021110319197234201633331706295624567878645590070730007
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 13
c0: 86
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 7640062 relations
Pruned matrix : 6874877 x 6875102
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 33.69 hours.
Total relation processing time: 0.41 hours.
Matrix solve time: 35.17 hours.
time per square root: 0.57 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 69.85 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

83515419432617054987027549899531592848865010674105757682785797891991152659132882013437014257456889436852828575389221363773650137384792245565038924160020220496382503910224059150296905667624896892184381642647824765737<215>

1472208762306530116618491968126336492504723391364784798798157768193<67>
56727973349222752894306979447539243630300674758239825793141676781062263441600264098506304990601621241068964858944413605589195100099000730843208564009<149>

Number: n
N=83515419432617054987027549899531592848865010674105757682785797891991152659132882013437014257456889436852828575389221363773650137384792245565038924160020220496382503910224059150296905667624896892184381642647824765737
  ( 215 digits)
SNFS difficulty: 223 digits.
Divisors found:

Tue Aug  6 00:33:23 2019  p67 factor: 1472208762306530116618491968126336492504723391364784798798157768193
Tue Aug  6 00:33:23 2019  p149 factor: 56727973349222752894306979447539243630300674758239825793141676781062263441600264098506304990601621241068964858944413605589195100099000730843208564009
Tue Aug  6 00:33:23 2019  elapsed time 08:20:32 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.121).
Factorization parameters were as follows:
#
# N = 65x10^221+43 = 72(220)7
#
n: 83515419432617054987027549899531592848865010674105757682785797891991152659132882013437014257456889436852828575389221363773650137384792245565038924160020220496382503910224059150296905667624896892184381642647824765737
m: 10000000000000000000000000000000000000
deg: 6
c6: 13
c0: 86
skew: 1.37
# Murphy_E = 2.131e-12
type: snfs
lss: 1
rlim: 37000000
alim: 37000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 37000000/37000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 72900000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 12398419 hash collisions in 70204015 relations (59001152 unique)
Msieve: matrix is 4294871 x 4295097 (1508.4 MB)

Sieving start time: 2019/08/04 05:52:26
Sieving end time  : 2019/08/05 16:08:41

Total sieving time: 34hrs 16min 15secs.

Total relation processing time: 7hrs 44min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 15min 9sec.

Prototype def-par.txt line would be:
snfs,223,6,0,0,0,0,0,0,0,0,37000000,37000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.048000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284124K/16703460K available (12300K kernel code, 2473K rwdata, 4272K rodata, 2408K init, 2416K bss, 419336K reserved, 0K cma-reserved)
[    0.080566] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.41 BogoMIPS (lpj=11976828)
[    0.078213] smpboot: Total of 16 processors activated (95814.62 BogoMIPS)

937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937951<222>

36832427814302321591895347512349<32>
25465357393213276591223369503200040198735173818034774117232639914412865516355537191841346508135565343964958475781709797434938302049227035354405794977832718846952879242173086379441017971094699<191>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1945572584
Step 1 took 14071ms
Step 2 took 7971ms
********** Factor found in step 2: 36832427814302321591895347512349
Found probable prime factor of 32 digits: 36832427814302321591895347512349
Probable prime cofactor 25465357393213276591223369503200040198735173818034774117232639914412865516355537191841346508135565343964958475781709797434938302049227035354405794977832718846952879242173086379441017971094699 has 191 digits

GMP-ECM 6.3

22498433762880353329249002280995053805869668303860385103960070472017140345229812847644067855276228847145641014990879481082278502919604442921473543572543603695281213115548494508651513106202991253301212492514944151964805527<221>

18761190466183695103820566029557893657601681871502489298945590136893227611538677942089655778467949758655159075954840553682175754945537305671267717438619936272604771561935004884494753031<185>

565239036516619469095772702482794181148970904277424070111225308434254303701388976834727771643548810790820284921929082247936661418716787291064545934363092293515928037101029186807675508935197440130020527265127<207>

46406053550519538904158628492742888348423798976217246518286590504868020077683766508386682707821854657332009835608491242779755442005230312782546973304044491048267270941953594355953429717172302457<194>

778078915215087650281131766365074551718183<42>
59641834064725063211255059637059761297614956334536280421600958092647120960823713533539411500719145027635567729515594521290801717673678612067715819402079<152>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2212659088
Step 1 took 139167ms
Step 2 took 42204ms
********** Factor found in step 2: 778078915215087650281131766365074551718183
Found probable prime factor of 42 digits: 778078915215087650281131766365074551718183

468898734107976448610159624162991600522265682084811534430768248321113082832373126829082187919757318766602003472251296128466869579647665780285695802800996031739078993382902752129825922974761881747973413394500919612724317<219>

9946139618773672441094504774877321301<37>
47143791669977600773550419502924857377637455371746918011886546822753396624597070878101124693398756271808185666996841242287905328945993368773925238336820422679724546172924865771402217<182>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4017020262
Step 1 took 30925ms
Step 2 took 11074ms
********** Factor found in step 2: 9946139618773672441094504774877321301
Found probable prime factor of 37 digits: 9946139618773672441094504774877321301

1441409686327449201282080259528817269993228328473622211321780477187278712207410883912491612474076944779354153427493474172327682979462161516193573666220857737455979537406553937<175>

4942509246306081112170096280413869039408884868953257290891614559195919503948035406377113017485384060964075293773396340617667422760405923695550588984866526548471731677291043772870005601469614049558046974635854898176209629899<223>

378325488317803654077100289954474638892686694752386840954816703338047268917773166863134002946166087333936209549948073371630349456925402304048786992447983010042562781514178504325686327543847487566623846041781219259235201638463665591<231>

234699870179034690939224278428211100984765302430145571908841257994697560260746506262439251982663052205380515803659029508281015488977925059734737156142983450676399437016393445009021456117720644758139703136168191970180618575727<225>

23228973563971968951875915887647249578389073697246402767885577300182978404156716628319996853269379239715572482855851196695397401291851345321976930478414178709232460335543892576771007802038480465540698833501306136031479821412201<227>

35963245252073006892517976786311<32>
4526360676206495396084813525630953<34>

142699347711211413693198300700136768369095067018489417091662361980307539415398907747569774024537966973772068090810158632647331996166975515429233382000406693771447<162>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3451185865
Step 1 took 14009ms
Step 2 took 8003ms
********** Factor found in step 2: 35963245252073006892517976786311
Found probable prime factor of 32 digits: 35963245252073006892517976786311
Composite cofactor 645908716000344705589931846254044245329179775806964737200637162347828487990856680646931470944634204867881483359248376935771116508762147389330625660478930478916631958371304814963666569075850798991 has 195 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2468037310
Step 1 took 9922ms
Step 2 took 5709ms
********** Factor found in step 2: 4526360676206495396084813525630953
Found probable prime factor of 34 digits: 4526360676206495396084813525630953
Composite cofactor 142699347711211413693198300700136768369095067018489417091662361980307539415398907747569774024537966973772068090810158632647331996166975515429233382000406693771447 has 162 digits

GMP-ECM 6.3

142699347711211413693198300700136768369095067018489417091662361980307539415398907747569774024537966973772068090810158632647331996166975515429233382000406693771447<162>

47305866586277417607051502646223642388499036740396244237647243585751567<71>
3016525391220841347289629737108571608491326727960131407947219158055650188564744127581351641<91>

47305866586277417607051502646223642388499036740396244237647243585751567 3016525391220841347289629737108571608491326727960131407947219158055650188564744127581351641

CADO-NFS

20 x Xeon L5640 + 2 x Xeon X5560, Debian sid amd64

1955128975918551168408935949314856355777383329190686592245650133057035169805638501753333057309129973789282330850480037205820064575381142816938835015540042406112222615793891685917104020973321630649939269<202>

191644486532692246910487151556966411217937<42>
10201853501196496225855170978035232302901183126330386652136215937473648475211040592954148612752205194890095537114473261761255442563534805060003407013185757198837<161>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1692521254
Step 1 took 93783ms
Step 2 took 31506ms
********** Factor found in step 2: 191644486532692246910487151556966411217937
Found probable prime factor of 42 digits: 191644486532692246910487151556966411217937

2407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407409<241>

163759235058727634669271103765306809431004053292945946495814916457263166643653976749<84>
14700895534496473344824672427242735522949319772878350956981327724224090703551000667162149220961457979251013901572432102744134273233204602159251826349160664341<158>

N=2407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407409
  ( 241 digits)
SNFS difficulty: 241 digits.
Divisors found:
p84 factor: 163759235058727634669271103765306809431004053292945946495814916457263166643653976749
p158 factor: 14700895534496473344824672427242735522949319772878350956981327724224090703551000667162149220961457979251013901572432102744134273233204602159251826349160664341

Version: Msieve v. 1.53 (SVN unknown)
Total time: 
Scaled time: 211.58 units (timescale=1.904).
Factorization parameters were as follows:
n: 2407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407409
m: 10000000000000000000000000000000000000000
deg: 6
c6: 65
c0: 43
skew: 0.93
# Murphy_E = 3.205e-13
type: snfs
lss: 1
rlim: 75000000
alim: 75000000
lpbr: 30
lpba: 30
mfbr: 61
mfba: 61
rlambda: 2.7
alambda: 2.7
qintsize: 800000
Factor base limits: 75000000/75000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 61/61
Sieved rational special-q in [37500000, 104700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 12625060 x 12625288
Total sieving time: 
Total relation processing time: 
Matrix solve time: 
Time per square root: 
Prototype def-par.txt line would be:
snfs,241.000,6,0,0,0,0,0,0,0,0,75000000,75000000,30,30,61,61,2.7,2.7,100000
total time:

937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937951<240>

6333249304516753080495708713012391860088302815780097122565729082910354243553449599843717516625808231613413038793085452621748299927152953849444929516303795699476116522346495354614265924557212947<193>

754858987804870474663603721183680029393919<42>
8389976680192731900921805453635464523979671566192036549084208636780797708251088469865203045004116852470105843551219782346530511030686501109401459468013<151>

Run 1031 out of 3254:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3237209401
Step 1 took 198651ms
Step 2 took 42963ms
********** Factor found in step 2: 754858987804870474663603721183680029393919
Found probable prime factor of 42 digits: 754858987804870474663603721183680029393919
Probable prime cofactor 8389976680192731900921805453635464523979671566192036549084208636780797708251088469865203045004116852470105843551219782346530511030686501109401459468013 has 151 digits

5671871397895040119249341459703790430701000993374520682877284895501756496253834063651507386058189805795131807643677271364595362616034461041417179671962419764097658453984564238532895463894734959174111572968029<208>

22179513974073145263807123629395453298218909144757741104129927530635030209438144025390223139991697621730063805589831151821991012579251469854819398871038640491220592736851988874199951109041793187492869233279424560223<215>

2249347428200562200486793872564977223<37>

9860421603174197334066521453131609415172457383543921971317824062279127215011240942585166643688359584768677411760673506808672458825703508549654784032162827631626224441461077321001<178>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3589392696
Step 1 took 140294ms
Step 2 took 45375ms
********** Factor found in step 2: 2249347428200562200486793872564977223
Found probable prime factor of 37 digits: 2249347428200562200486793872564977223

70993768696688205969340227600090379014709559855037438199507755005825781709207593591894304345137749862172356873874310436436839556570812693756788966113151087178302947497392455978653537267383213<191>

67884674101480115226864768817222978743218306003835654485620658037896939204356954921557461766330114075633175869838471637181655714176474920141449458946387546764467049121615536844555657684838362716791246772182465150983594517067555951685621999<239>

3984091787200070648437314890391939878402209648746057642368377726601830532204236421193847207018215444763163825273694159583285963578190290139974544599195076103233267307314949406092628387036681363518588505747088057520278302882582302739196703<238>

5034095253492549576923063746212581<34>

791421613334787701447868623147676406545260916610816441832533015193110763479328855843371555423979518465568944707699412318420813553727553002057483200979986169007392288158091245627650354680523706418760266163<204>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 3984091787200070648437314890391939878402209648746057642368377726601830532204236421193847207018215444763163825273694159583285963578190290139974544599195076103233267307314949406092628387036681363518588505747088057520278302882582302739196703 (238 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:248560343
Found prime factor of 34 digits: 5034095253492549576923063746212581
Composite cofactor 791421613334787701447868623147676406545260916610816441832533015193110763479328855843371555423979518465568944707699412318420813553727553002057483200979986169007392288158091245627650354680523706418760266163 has 204 digits

GMP-ECM 7.0.4

Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

1437389403889872166808656653074329006689553316635759941331238832625455222833468305702586449762872604800487879677623758024867989778055751194571391450312889337039958844760307125701974050418136789829798763294519<208>

937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937951<252>

130002622732369221747264239967713<33>
7214861656151791575464419264691714316751536783334067508033638823420891385236000754152579115247975938052768436571793391768575463782198588546022943994009859356049196739899036693213447193929817251299709720515432168106436927<220>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937951 (252 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3890539110
Found prime factor of 33 digits: 130002622732369221747264239967713
Prime cofactor 7214861656151791575464419264691714316751536783334067508033638823420891385236000754152579115247975938052768436571793391768575463782198588546022943994009859356049196739899036693213447193929817251299709720515432168106436927 has 220 digits

GMP-ECM 7.0.4

Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

2464922260144103147516116799393249905195297686765263557072430792567311338642396662874478574137277208949563898369359120212362533181645809632157755024649222601441031475161167993932499051952976867652635570724307925673113386423966628744785741372772089495639<253>

3185980605408541250636811689<28>

773677735501476437225356936344961076353311583693346448152361275156306440581231715089455228898631351752939548177257176092397499230768734106834082998820877773527463989763281299950674707375272741044967111127044216524311422295551<225>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 2464922260144103147516116799393249905195297686765263557072430792567311338642396662874478574137277208949563898369359120212362533181645809632157755024649222601441031475161167993932499051952976867652635570724307925673113386423966628744785741372772089495639 (253 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6)
Found prime factor of 28 digits: 3185980605408541250636811689
Composite cofactor 773677735501476437225356936344961076353311583693346448152361275156306440581231715089455228898631351752939548177257176092397499230768734106834082998820877773527463989763281299950674707375272741044967111127044216524311422295551 has 225 digits

GMP-ECM 7.0.4

Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

869603777977314488753354871189430671659063457303362528076972965137374441234434808919283644605828705194631278389240391958076703596887772562697924815343262034562330320294190021586183113563755921532249898891276658475403555728196691253<231>

955838374395877115813367405283314941760420069942984833587078055485544438562641539379254834288344319327127617978681675277290341013781864272697520125614820406694784852348303078539340340889441996969553843929308234324032177313037043056956136334804234333<249>

27816738331684589572330266503<29>
34361986045902861697440474796864272160566691037356581328666892650261095009657602346263515511148560327228036196732168249917122857184738668379079722300946147577163472140397987138152069219381182911390088239739965535601967611<221>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 955838374395877115813367405283314941760420069942984833587078055485544438562641539379254834288344319327127617978681675277290341013781864272697520125614820406694784852348303078539340340889441996969553843929308234324032177313037043056956136334804234333 (249 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6)
Found prime factor of 29 digits: 27816738331684589572330266503
Prime cofactor 34361986045902861697440474796864272160566691037356581328666892650261095009657602346263515511148560327228036196732168249917122857184738668379079722300946147577163472140397987138152069219381182911390088239739965535601967611 has 221 digits

GMP-ECM 7.0.4

Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

1799977542906818774385722751501245768369691828740324686584529805329643250344394126894722929311732282638455954892794164225805625241246044009831150637365172534597245911943665779944948100861489433508142087996730189<211>

4495915153304960626078421341810339901809062738693409644160193601197391073244595761300218184073360477878344843484623012265292929237044266542163753036819095274325363630757847290692702725352526342883925954310854317759041360329<223>

1030689305676610319491307<25>
4351820420588156520478424764788593<34>

1002349945350275536318361779928670683596469110718637250654838539588656452696371411880157526744701867666630208177453307976247784898030925878346947577124364790760322379<166>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 4495915153304960626078421341810339901809062738693409644160193601197391073244595761300218184073360477878344843484623012265292929237044266542163753036819095274325363630757847290692702725352526342883925954310854317759041360329 (223 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6)
Found prime factor of 25 digits: 1030689305676610319491307
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:248560343
Found prime factor of 34 digits: 4351820420588156520478424764788593
Composite cofactor 1002349945350275536318361779928670683596469110718637250654838539588656452696371411880157526744701867666630208177453307976247784898030925878346947577124364790760322379 has 166 digits

GMP-ECM 7.0.4

Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

178880707888500598819116183861291727296923456095353355894685017139120780853967986003931375806422648081815594416896239020934317665524818839271522324529273119331117301887688085376155133740299775305650671383623482558062346146260267262668220986929355915001<252>

175172665223231711592759378000755967339180538554129446576567072812769673837480728743267845432827746612574567311016489641009939329221232538937726016762178478775001506903037859449971112720460584937815831456562528672114378672794496422567048052737059221873<252>

14873574602250964594463321870440499<35>

11777442202543637773632138576967345032125992897457562849555967709115885154629716356881176133461517262723505886181625829398704518618862791718167288628272736657696834174747364123550933603790102922508145205643224182471627<218>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 175172665223231711592759378000755967339180538554129446576567072812769673837480728743267845432827746612574567311016489641009939329221232538937726016762178478775001506903037859449971112720460584937815831456562528672114378672794496422567048052737059221873 (252 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1768332779
Found prime factor of 35 digits: 14873574602250964594463321870440499
Composite cofactor 11777442202543637773632138576967345032125992897457562849555967709115885154629716356881176133461517262723505886181625829398704518618862791718167288628272736657696834174747364123550933603790102922508145205643224182471627 has 218 digits

GMP-ECM 7.0.4

Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

11777442202543637773632138576967345032125992897457562849555967709115885154629716356881176133461517262723505886181625829398704518618862791718167288628272736657696834174747364123550933603790102922508145205643224182471627<218>

8092541262772806131582996908756947391<37>
1455345338394758743035487470910307590413771627929125828237214542646307854991605353218389221074610597052703868523618552811467296851196327402857491378887909115569913414617700585111797<181>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1545081735
Step 1 took 11469ms
Step 2 took 5094ms
********** Factor found in step 2: 8092541262772806131582996908756947391
Found prime factor of 37 digits: 8092541262772806131582996908756947391
Prime cofactor 1455345338394758743035487470910307590413771627929125828237214542646307854991605353218389221074610597052703868523618552811467296851196327402857491378887909115569913414617700585111797 has 181 digits
 

GMP-ECM

208605733947359859670370181474599492501591772044912077145326925305842142554270152127059400712426591382046870376821159726238693877213615026725543321509539525120397237094231332520455093035483370458714611594180593868873461468110379418283<234>

32742997314789231289671838583<29>

6371002994681174861008780158823543555604815428734268778691919169900136981518995504603251864383478914154359369390359951023928716280168641276264708176588069380950223242608030514107457261303660895351005185901<205>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 208605733947359859670370181474599492501591772044912077145326925305842142554270152127059400712426591382046870376821159726238693877213615026725543321509539525120397237094231332520455093035483370458714611594180593868873461468110379418283 (234 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6)
Found prime factor of 29 digits: 32742997314789231289671838583
Composite cofactor 6371002994681174861008780158823543555604815428734268778691919169900136981518995504603251864383478914154359369390359951023928716280168641276264708176588069380950223242608030514107457261303660895351005185901 has 205 digits

GMP-ECM 7.0.4

Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

6371002994681174861008780158823543555604815428734268778691919169900136981518995504603251864383478914154359369390359951023928716280168641276264708176588069380950223242608030514107457261303660895351005185901<205>

1759513508934195383890293672462929<34>

3620888934544375849587385221941934253435276220278169966568130177122035273829456230699894128603061684453340773626453349639127077301696344538491114454181192506640421569202269<172>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2281941462
Step 1 took 7172ms
Step 2 took 3875ms
********** Factor found in step 2: 1759513508934195383890293672462929
Found prime factor of 34 digits: 1759513508934195383890293672462929
Composite cofactor 3620888934544375849587385221941934253435276220278169966568130177122035273829456230699894128603061684453340773626453349639127077301696344538491114454181192506640421569202269 has 172 digits

GMP-ECM

698567018793699105322270613207280695821655518546546343767045396078934922906261016852023919381838401649513257475886714987197179840993490437570973175017636013890484347276989398623143450805282065158341855442443168104235098863503383<228>

31036339894945299241187508788105098793396376083563904971076313066034595795300451251086374487385878326881464605398949851273720319989263612690637008039724760029376842165778198643227553983641164367567842867186229665474055291111469305201695007<239>

1929697189707084121167753471293595203194773167349996500602465806541445927750235472794166618730865337554788304527700603139697017563523853298240332959511564031502758356453143651982594082376704078370123555492547714969756367408503887<229>

80731973860620923676687937<26>
23902514672050438627483058473155727017694691024031276728017910364981540539706682402269640425184809989074311228598798678561301817217566239944460777609935060037224097556418941657414493714276225684870174351<203>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1929697189707084121167753471293595203194773167349996500602465806541445927750235472794166618730865337554788304527700603139697017563523853298240332959511564031502758356453143651982594082376704078370123555492547714969756367408503887 (229 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6)
Found prime factor of 26 digits: 80731973860620923676687937
Prime cofactor 23902514672050438627483058473155727017694691024031276728017910364981540539706682402269640425184809989074311228598798678561301817217566239944460777609935060037224097556418941657414493714276225684870174351 has 203 digits

GMP-ECM 7.0.4

Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

72222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227<269>

105083234818396145237045615360054652261534587831697226859131465233581945298005708546012720793883570149864859085282150105324360895316814464833085281480858622775885766326386959040447704617012951801903322940353561931310536188389427871556212442418341843942818171<258>

5969378385281679190491656326590049<34>

17603714831931791687475865106123838205536055198671893906390174780889427194581771118775776531773639493152663277723769112897998972184884504092275406229261323252043684031338881397399747793603681186210139912184429999591037330779<224>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 105083234818396145237045615360054652261534587831697226859131465233581945298005708546012720793883570149864859085282150105324360895316814464833085281480858622775885766326386959040447704617012951801903322940353561931310536188389427871556212442418341843942818171 (258 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:770808680
Found prime factor of 34 digits: 5969378385281679190491656326590049
Composite cofactor 17603714831931791687475865106123838205536055198671893906390174780889427194581771118775776531773639493152663277723769112897998972184884504092275406229261323252043684031338881397399747793603681186210139912184429999591037330779 has 224 digits

GMP-ECM 7.0.4

Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

10514938479550332961318817988915812641712397996983878853510639634511603259158972883068448278673528689967683945910303060102898129130153553840008388856459645075557249298711208075430812974734963466013680003222901061419276434565025035447849<236>

3458078103721018299433121708580108128218736589290448817903200740279378448102342729431905738529612390863066965066279618333276257422859996550481805217470923744104648289529153767542778931295878561663249012876770770227121657823442676547850145697564615386353<253>

177789984001421039632692494624483<33>

19450353871978404451125584645456159752968451867891659881767417883249941786086143800804767240711548568753191040426865065371299042528755432140966845867658525159768645198735021316327034228221525504264935432667670181714884891<221>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 3458078103721018299433121708580108128218736589290448817903200740279378448102342729431905738529612390863066965066279618333276257422859996550481805217470923744104648289529153767542778931295878561663249012876770770227121657823442676547850145697564615386353 (253 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:248560343
Found prime factor of 33 digits: 177789984001421039632692494624483
Composite cofactor 19450353871978404451125584645456159752968451867891659881767417883249941786086143800804767240711548568753191040426865065371299042528755432140966845867658525159768645198735021316327034228221525504264935432667670181714884891 has 221 digits

GMP-ECM 7.0.4

Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

78098803692662934498477842305187138259872962019962844464040757429438464388073454706321819716633832074914715814502869892779790035726217563257984106342487797982603746411632904063187044011979759396506062051278318002680042377180537279238484042262367<245>

19077743023679351875100393801907742636190852520279121303936814777669322680361503154725169077709490334209106488724091308856536296613925173682549288732482386684894841434258411258182527818163393210480897888482216973130757671630764289984077575404065390669671140114017<263>

4104908575608103219863192961201386100351014509111040015734254301834232086378055728721985232358419209075808525576881228091959891000396218429120142962774772216684197480516064330190342463349336742961221876305707315223476449778493751<229>

11008950411486090439718487822749958969764564584900567111085732652149032519697281880629556763630108038915036214276737564643270768671996833475187851075576404408909166260256787666474494605260545672017794711132434634328144441589069473330892351<239>

430080425908842806592374785778183028215443099084082864850039794418946258231601849802992548380791911994037038137512259153966703599679728320923157584027525339189304141523393085288095578198146512168576155313914725471683343994150944938379521784463941071<249>

4600141542816702052370842179759377211606510969568294409058740268931351733899504600141542816702052370842179759377211606510969568294409058740268931351733899504600141542816702052370842179759377211606510969568294409058740268931351733899504600141542816702052370842179759377211606511<277>

848264121661810434666666125297<30>

5423006143186504052961803033263023895984115286995987970671978494254845353509569119209158827163305856180526010487728828701239841002481937854383865143052659234268082252105697530280741043627557775571672521063886002053603883894911027420592313985002463<247>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 4600141542816702052370842179759377211606510969568294409058740268931351733899504600141542816702052370842179759377211606510969568294409058740268931351733899504600141542816702052370842179759377211606510969568294409058740268931351733899504600141542816702052370842179759377211606511 (277 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3158332481
Found prime factor of 30 digits: 848264121661810434666666125297
Composite cofactor 5423006143186504052961803033263023895984115286995987970671978494254845353509569119209158827163305856180526010487728828701239841002481937854383865143052659234268082252105697530280741043627557775571672521063886002053603883894911027420592313985002463 has 247 digits

GMP-ECM 7.0.4

Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

5423006143186504052961803033263023895984115286995987970671978494254845353509569119209158827163305856180526010487728828701239841002481937854383865143052659234268082252105697530280741043627557775571672521063886002053603883894911027420592313985002463<247>

3827364290149480835305146966851158177<37>

1416903574385051317682612627065560541874966421798574029558027809586439174782354816674348704562239701036818968636949140410125418737996878496820555619850781852249122562240515702046933391396637847701487852078472319<211>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:863023939
Step 1 took 9954ms
********** Factor found in step 2: 3827364290149480835305146966851158177
Found prime factor of 37 digits: 3827364290149480835305146966851158177
Composite cofactor 1416903574385051317682612627065560541874966421798574029558027809586439174782354816674348704562239701036818968636949140410125418737996878496820555619850781852249122562240515702046933391396637847701487852078472319 has 211 digits
 

GMP-ECM

1416903574385051317682612627065560541874966421798574029558027809586439174782354816674348704562239701036818968636949140410125418737996878496820555619850781852249122562240515702046933391396637847701487852078472319<211>

182363682370074173467096409772479780045359<42>
7769658716968114790965981848164805617443790821777992280034991051539500867901380431787794715811677038880178814521790970662343548813317867610404280670656938375670281291441<169>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3337843934
Step 1 took 9890ms
Step 2 took 4828ms
********** Factor found in step 2: 182363682370074173467096409772479780045359
Found prime factor of 42 digits: 182363682370074173467096409772479780045359
Prime cofactor 7769658716968114790965981848164805617443790821777992280034991051539500867901380431787794715811677038880178814521790970662343548813317867610404280670656938375670281291441 has 169 digits

GMP-ECM

1698339439546248317662981798899165565981832413728465009837279988175007524198737330739464224463910885763803516798837647074952380607111626377656771995631965684369916168252681890061996644397359025075185233528768975690855083185287822862919034263263468611<250>

4733369585802824527464851038228786851298986754907629190858189868940130227224565702721937800074965266174027193825743262192902768326605922336758267625630150410998184539772269845509680725512279400383724614189156492913572966201448373458162722938006630113330241449913785867<268>

1728175079286742932554746432950139181<37>

2738941003452262229989320134527164739305700723727486411375077284602276453495115442017249650372213836155959293022220590077911592424649657781575666103890307986210171970516118992275246763815109668594172807852408558421176119625708963607<232>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 4733369585802824527464851038228786851298986754907629190858189868940130227224565702721937800074965266174027193825743262192902768326605922336758267625630150410998184539772269845509680725512279400383724614189156492913572966201448373458162722938006630113330241449913785867 (268 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:4269707756
Found prime factor of 37 digits: 1728175079286742932554746432950139181
Composite cofactor 2738941003452262229989320134527164739305700723727486411375077284602276453495115442017249650372213836155959293022220590077911592424649657781575666103890307986210171970516118992275246763815109668594172807852408558421176119625708963607 has 232 digits

GMP-ECM 7.0.4

Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

23459833715328578821988217136917440691168098373017016862905686375766378387775902282117365525953651999339261881825478508589339386905848147545753168271028922194613240274590951742447139408735592355643770724183262258862505653087166536801713052527397274586864369<257>

36959220641519657552549521<26>
634749145358709530658260667927644264199247235989792250238089377834149195402410707890743253364638315838139673826230848023390587148243344757487002221491766815362248536311298796542914596256440960259831396662071007938746920638196117089<231>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 23459833715328578821988217136917440691168098373017016862905686375766378387775902282117365525953651999339261881825478508589339386905848147545753168271028922194613240274590951742447139408735592355643770724183262258862505653087166536801713052527397274586864369 (257 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6)
Found prime factor of 26 digits: 1302015764193989783
Prime cofactor 634749145358709530658260667927644264199247235989792250238089377834149195402410707890743253364638315838139673826230848023390587148243344757487002221491766815362248536311298796542914596256440960259831396662071007938746920638196117089 has 231 digits

GMP-ECM 7.0.4