is 2 256163 - 1
has 77113 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L36069C31953390__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267115.996173.1343%30000000100358126969105,417.947323.4380%5,533.943479.4311%6.2968%
PrimeNet2400.000055.0000%2600700000.000114.2549%0.000161.4147%6.4147%
GPU722440.000059.0909%45001100000.000110.1984%0.000163.2630%4.1721%
Difference+23+115.9961+14.0434%+29995500+10035812586910+5,417.9472+13.2396%+5,533.9433+16.1681%+16.1681%

Known prime factors (1 factor, 73.1 bits, 0.02852512% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
25616399197885628054898372332273.07119362258723557832
23 × 3 × 53 × 15221901512231
2007-12-2753152219015122318,844.58,217.315,348

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-12-21T00:00:00ANONYMOUSv4_computers950003800000---0.003--2.200%
2001-06-17T00:00:00ANONYMOUSv4_computers10000010000000---0.006--2.722%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.560%
2002-08-10T00:00:00ANONYMOUSv4_computers655366553600---0.004--2.242%
2003-03-07T00:00:00ANONYMOUSv4_computers13107213107200---0.008--3.053%
2003-11-08T00:00:00ANONYMOUSv4_computers26214426214400---0.017--3.980%
2021-09-05T11:50:08Oliver KruseOllaptop30000000300000000024---1.901--12.591%
2022-04-27T10:15:55Oliver KruseThreadripper-PC3000000010035812696910---5,418--23.438%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24T00:00:00ANONYMOUSv4_computers252253--0.002--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.009--
2000-12-21T00:00:00ANONYMOUSv4_computers21255--0.019--
2001-02-18T00:00:00ANONYMOUSv4_computers21256--0.037--
2002-03-24T00:00:00ANONYMOUSv4_computers21257--0.075--


ECM factoring results:

Old Calculation Method

Total ECM effort:13.707 GHz-days
Estimated T-Level:27.055
DigitsB1CurvesCompleteFacMiss
2011000543 / 1005.4300.426%
2550000543 / 2801.93914.331%
30250000263 / 6400.41166.282%

New Calculation Method

Total ECM effort:13.707 GHz-days
Estimated T-Level:27.055
DigitsB1CompleteFacMiss
201100035.3620.000%
25500004.8160.810%
302500000.48761.468%
3510000000.03996.181%
4030000000.00399.744%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002802.040
250000250000002077.542
2500003475000070.288
2500003625000070.293
25000038428211140.601
25000038500000210.902
25000055133578572.041


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-10-13T00:00:00ANONYMOUSv4_computers36069C31953390__0.002


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T07:48:34Oliver KruseOllaptop
9919788562805489837233
EA83AC3F6CEDED__no
2017-09-22T10:06:36Oliver KruseManual testing
9919788562805489837233
EA83AC3F6CEDED__no
2017-10-12T17:08:11Oliver KruseGTX-1EA83AC3F6CEDED__no
2017-11-06T16:18:56kkmrkkblmbrbkc4.xlarge
9919788562805489837233
EA83AC3F6CEDED__no
2020-04-17T20:15:07Oliver KruseAddPrpType5
9919788562805489837233
A02597E106D9EA__no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10035812696910 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 95000, B2 = 3800000 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 95000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-07-03T21:42:32+00:00