is 2 263621 - 1
has 79358 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-L26E2674AC692BF__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267112.714571.6418%262144262144000.01663.9948%112.731172.7746%1.1329%
PrimeNet2400.000052.5000%2800700000.000114.4307%0.000159.3546%6.8546%
GPU722440.000056.8182%50001200000.000110.5739%0.000161.3842%4.5660%
Difference+23+112.7145+14.8236%+257144+26094400+0.0165-6.5791%+112.7310+11.3904%+11.3904%

Known prime factors (1 factor, 58.3 bits, 0.02213335% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2636213668954498637470711858.348695876750835
3 × 5 × 7 × 6627397627
2007-09-05766273976270.19533.57776.6821

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-02-18T00:00:00ANONYMOUSv4_computers950003800000---0.003--2.210%
2001-06-23T00:00:00ANONYMOUSv4_computers10000010000000---0.006--2.734%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.568%
2002-08-10T00:00:00ANONYMOUSv4_computers655366553600---0.004--2.252%
2003-03-07T00:00:00ANONYMOUSv4_computers13107213107200---0.008--3.065%
2003-11-16T00:00:00ANONYMOUSv4_computers26214426214400---0.017--3.995%
2006-01-15T00:00:00Jocelyn Larouchev4_computers263621263621---0.003--1.084%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24T00:00:00ANONYMOUSv4_computers252253--0.002--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.009--
2022-03-07T05:52:39LordJuliusManual testing254255--0.009--
2001-02-18T00:00:00ANONYMOUSv4_computers21256--0.036--
2002-03-31T00:00:00ANONYMOUSv4_computers21257--0.073--
2004-02-07T00:00:00ANONYMOUSv4_computers21258--0.146--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.323 GHz-days
Estimated T-Level:26.961
DigitsB1CurvesCompleteFacMiss
2011000532 / 1005.3200.476%
2550000532 / 2801.90014.906%
30250000251 / 6400.39267.537%

New Calculation Method

Total ECM effort:11.323 GHz-days
Estimated T-Level:26.961
DigitsB1CompleteFacMiss
201100033.8170.000%
25500004.5591.047%
302500000.45763.340%
3510000000.03696.435%
4030000000.00299.763%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002812.050
250000250000002308.388
2500003347784770.284
2500003842821170.301
2500003850000070.301


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-10-20T00:00:00ANONYMOUSv4_computers26E2674AC692BF__0.002


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T08:50:56Oliver KruseOllaptop
366895449863747071
953AF6F3B4EA0B__no
2017-09-22T10:07:04Oliver KruseManual testing
366895449863747071
953AF6F3B4EA0B__no
2017-10-12T19:22:41kkmrkkblmbrbkc4.xlarge953AF6F3B4EA0B__no
2020-04-17T21:11:31Oliver KruseAddPrpType5
366895449863747071
354A48B7127C09__no


P-1 factor-bounds graph:
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 = 263621 (P-1 stage 1)
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)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
258
257
256
255
254
253
250
260
270
280
290
2100
Last modified: 2022-07-23T21:35:16+00:00