is 2 25398353 - 1
has 7645667 decimal digits
takes 21.765 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LF725218BC17E8DF7double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual275301.275866.6667 %100000053340210037.28556.2884 %338.561268.7628 %
Target2709.408164.2857 %180000275000002.07323.7406 %11.481365.6216 %
Difference+5+291.8677+2.3810 %+820000+505902100+35.2123+2.5478%+327.0799+3.1412 %

Known prime factors (1 factor, 87.9 bits, 0.00034593% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
253983532808543296702824199376009912787.8605528987050268228415
3 × 5 × 11 × 31 × 727 × 11551 × 128719973
2022-01-23115511287199732,247,7418.727716.276

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2004-11-22ANONYMOUSv4_computers3100007672500--0.8844.323%
2022-01-23Anton RepkoT5810100000053340210022787.86043.279.545%


Trial Factoring results:
57585960616263646566676869707172737475
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-08-12Net_Forcev4_computers212560.000
2001-08-31Mattv4_computers212580.002
2003-06-30Thav4_computers212600.003
2004-02-14markrv4_computers212620.012
2004-07-13Michael Hanschov4_computers212670.588
2011-10-07garoManual testing2672681.177
2011-12-12Roy OswaldManual testing2682692.354
2017-03-21ramgeisManual testing2692704.708
2021-06-16mikrManual testing2702719.415
2021-08-28TheJudgerManual testing27127356.49
2021-09-30TheJudgerManual testing27327475.32
2021-10-17TheJudgerManual testing274275150.6


ECM factoring results:
No ECM results for M25398353


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2004-11-30ANONYMOUSv4_computersF725218BC17E8DF721.77
2012-02-25lapuser1mansic2F725218BC17E8DF725.26


PRP results:
No PRP results for M25398353


CERT results:
No CERT results for M25398353


P-1 factor-bounds graph:
B1 = 1000000, B2 = 533402100 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 310000, B2 = 7672500 (P-1 stage 2)
B1 = 310000 (P-1 stage 1)
103
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109
TF factor-bounds graph:
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this exponent TF target: 70
TF double-checked to: 67
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Last modified: 2024-03-13T02:15:48+00:00