is 2 717797 - 1
has 216079 decimal digits
takes 0.014 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LFAC38B4F725A33F4double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26741.396070.1493%131072131072000.02433.5367%41.420371.2050%1.0557%
PrimeNet2400.000050.0000%65002600000.000621.5323%0.000660.7661%10.7661%
GPU722440.000054.5455%120004500000.001016.5474%0.001062.0670%7.5215%
Difference+23+41.3960+15.6038%+119072+12657200+0.0232-13.0107%+41.4192+9.1380%+9.1380%

Known prime factors (1 factor, 72.4 bits, 0.01008531% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
71779761968852317097248811772272.3924316600119330204
22 × 31 × 2932151 × 11872271
2015-02-242932151118722711,402.70.09900.1728

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-02T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.197%
2002-01-28T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.423%
2002-03-16T00:00:00ANONYMOUSv4_computers8192819200---0.002--0.765%
2002-05-11T00:00:00ANONYMOUSv4_computers163841638400---0.003--1.246%
2002-07-14T00:00:00ANONYMOUSv4_computers327683276800---0.006--1.874%
2002-11-09T00:00:00ANONYMOUSv4_computers655376553700---0.012--2.641%
2003-06-17T00:00:00ANONYMOUSv4_computers13107213107200---0.024--3.537%
2011-02-21T23:23:00Jocelyn LaroucheManual testing400000400000---0.012--1.566%
2011-09-24T18:58:00Jocelyn LaroucheManual testing510667510667---0.015--1.748%
2011-10-04T21:14:00Jocelyn LaroucheManual testing10213351021335---0.030--2.330%
2012-03-20T00:28:00Jocelyn LaroucheManual testing15320021532002---0.044--2.715%
2012-10-25T06:31:00Jocelyn LaroucheManual testing25331312533131---0.073--3.235%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-12-15T00:00:00ANONYMOUSv4_computers253254--0.002--
2000-05-24T00:00:00ANONYMOUSv4_computers21255--0.007--
2000-05-31T00:00:00ANONYMOUSv4_computers21255--0.007--
2001-04-01T00:00:00ANONYMOUSv4_computers21256--0.013--
2001-10-20T00:00:00ANONYMOUSv4_computers21257--0.027--
2003-09-21T00:00:00ANONYMOUSv4_computers21258--0.053--
2008-10-14T20:08:00Sturle Sundejodel.ifi258259--0.053--
2008-10-14T20:42:00Sturle Sundejodel.ifi259260--0.107--
2010-06-16T06:30:00Architects Cubedm1_fw260261--0.214--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.326 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000325 / 1003.2503.815%
2550000325 / 2801.16131.261%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:11.326 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100012.7310.000%
25500001.34925.941%
302500000.10889.793%
3510000000.00799.295%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002796.307
50000500000020.045
25000025000000444.973


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2003-03-07T00:00:00ANONYMOUSv4_computersFAC38B4F725A33F40.014


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T16:40:19Oliver KruseGTX-3
6196885231709724881177
885C3C1857532B__no
2017-09-28T09:45:49Oliver KruseManual testing
6196885231709724881177
885C3C1857532B__no
2017-11-09T02:01:31kkmrkkblmbrbkc4.large
6196885231709724881177
885C3C1857532B__no
2020-04-20T17:51:15Oliver KruseAddPrpType5
6196885231709724881177
62E996D1BFA731__no


P-1 factor-bounds graph:
B1 = 2533131 (P-1 stage 1)
B1 = 1532002 (P-1 stage 1)
B1 = 1021335 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 510667 (P-1 stage 1)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65537 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
TF factor-bounds graph:
267
261
260
259
258
257
256
255
254
250
260
270
280
290
2100
Last modified: 2020-04-20T17:51:15+00:00