is 2 272659 - 1
has 82079 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-LC937F4ABC7032C__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267108.978371.6418%262144262144000.01664.0125%108.994972.7797%1.1379%
PrimeNet2400.000052.5000%2800800000.000114.8477%0.000159.5527%7.0527%
GPU722440.000056.8182%50001300000.000110.7964%0.000161.4803%4.6621%
Difference+23+108.9783+14.8236%+257144+26084400+0.0165-6.7839%+108.9948+11.2994%+11.2994%

Known prime factors (2 factors, 140.7 bits, 0.05159505% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27265927582161335399845291961.2585057995763096
23 × 79 × 8003157853
2008-01-307980031578531.94504.32048.0693
2726598087875711109178286050312479.4201483148495209983585
3 × 5 × 98876566347332239
2015-10-16598876566347332239791,64253,376,86699,693,122

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
272659223081092724475106294310835960211339156539943140.679
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-01T00:00:00ANONYMOUSv4_computers1000004000000---0.003--2.275%
2001-06-30T00:00:00ANONYMOUSv4_computers10000010000000---0.006--2.748%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.577%
2002-08-10T00:00:00ANONYMOUSv4_computers655366553600---0.004--2.265%
2003-03-16T00:00:00ANONYMOUSv4_computers13107213107200---0.008--3.080%
2003-11-28T00:00:00ANONYMOUSv4_computers26214426214400---0.017--4.012%
2006-01-15T00:00:00Jocelyn Larouchev4_computers272659272659---0.003--1.110%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24T00:00:00ANONYMOUSv4_computers252253--0.002--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.009--
2022-03-07T06:11:17LordJuliusManual testing254255--0.009--
2001-02-25T00:00:00ANONYMOUSv4_computers21256--0.035--
2002-03-31T00:00:00ANONYMOUSv4_computers21257--0.070--
2004-02-07T00:00:00ANONYMOUSv4_computers21258--0.141--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.130 GHz-days
Estimated T-Level:26.727
DigitsB1CurvesCompleteFacMiss
2011000500 / 1005.0000.657%
2550000500 / 2801.78616.714%
30250000221 / 6400.34570.781%

New Calculation Method

Total ECM effort:12.130 GHz-days
Estimated T-Level:26.727
DigitsB1CompleteFacMiss
201100031.4240.000%
25500004.2071.490%
302500000.41965.755%
3510000000.03396.731%
4030000000.00299.783%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002081.519
500005000000710.518
250000250000001746.353
25000035000000190.786
25000038500000210.905
25000055133578572.049


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-11-17T00:00:00ANONYMOUSv4_computersC937F4ABC7032C__0.002


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T10:20:49Oliver KruseDoppelherz
2758216133539984529
808787571110917828605031
55188EB28718E6EDno
2017-09-24T17:45:15Oliver KruseManual testing
2758216133539984529
808787571110917828605031
55188EB28718E6EDno
2017-09-30T15:29:19alpertronManual testing
2758216133539984529
808787571110917828605031
55188EB28718E6__no
2017-12-07T05:02:54ATHxps
2758216133539984529
808787571110917828605031
55188EB28718E6__no
2020-04-17T21:18:28Oliver KruseAddPrpType5
2758216133539984529
808787571110917828605031
51E26E9A7F29BF__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 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 272659 (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 = 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: 2022-07-03T19:43:09+00:00