is 2 867227 - 1
has 261062 decimal digits
takes 0.021 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF9E586B77A4D19__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26734.263170.1493%131072131072000.02953.6319%34.292671.2334%1.0841%
PrimeNet2400.000050.0000%80003400000.000923.0599%0.000961.5299%11.5299%
GPU722440.000054.5455%140005500000.001517.6075%0.001562.5489%8.0034%
Difference+23+34.2631+15.6038%+117072+12557200+0.0279-13.9756%+34.2911+8.6845%+8.6845%

Known prime factors (1 factor, 71.9 bits, 0.00829059% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
86722744006402637267234343672271.8982537190530118829
13 × 195168502316833
2007-09-0613195168502316833915.22373,894698,330

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-08T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.208%
2002-02-17T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.444%
2002-04-14T00:00:00ANONYMOUSv4_computers8192819200---0.002--0.798%
2002-05-25T00:00:00ANONYMOUSv4_computers163841638400---0.004--1.294%
2002-06-29T00:00:00ANONYMOUSv4_computers327683276800---0.007--1.937%
2002-12-16T00:00:00ANONYMOUSv4_computers655376553700---0.015--2.721%
2003-08-25T00:00:00ANONYMOUSv4_computers13107213107200---0.029--3.632%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-08-24T00:00:00ANONYMOUSv4_computers21255--0.006--
2000-12-31T00:00:00ANONYMOUSv4_computers21256--0.011--
2001-12-01T00:00:00ANONYMOUSv4_computers21257--0.022--
2003-09-09T00:00:00ANONYMOUSv4_computers21258--0.044--
2022-03-07T09:34:17LordJuliusManual testing258259--0.044--
2004-05-11T00:00:00Sturle Sundev4_computers21260--0.177--


ECM factoring results:

Old Calculation Method

Total ECM effort:14.014 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:14.014 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002817.860
25000025000000446.154


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-01-28T00:00:00ANONYMOUSv4_computersF9E586B77A4D19__0.021


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T05:27:30Oliver KruseGTX-2
4400640263726723434367
0598C3AE02212F__no
2017-10-14T11:16:08Oliver KruseThreadripper0598C3AE02212F__no
2017-12-20T04:50:31ATHxps
4400640263726723434367
0598C3AE02212F__no
2020-04-22T13:27:47Oliver KruseAddPrpType5
4400640263726723434367
12A00B6E850779__no


P-1 factor-bounds graph:
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
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)
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TF factor-bounds graph:
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Last modified: 2022-03-07T09:34:17+00:00