is 2 25309409 - 1
has 7618892 decimal digits
takes 21.689 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA4416D5ADFF4CA9Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual275302.334566.6667%30000069750000.82472.5003%303.159267.5001%0.8334%
PrimeNet2660.583562.1212%11000040000000.40004.9857%0.983564.0098%1.8885%
GPU722709.441264.2857%18000055000000.58383.7388%10.025065.6210%1.3353%
Difference+5+292.8934+2.3810%+120000+1475000+0.2408-1.2385%+293.1342+1.8791%+1.8791%

Known prime factors (1 factor, 86.0 bits, 0.00033989% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
25309409787265401952487185790653592686.0251555282073067149031
3 × 11 × 23 × 31 × 313 × 317011 × 666173
2021-12-283170116661731,092,4380.41750.8017

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-08-06T00:00:00ANONYMOUSv4_computers3000006975000---0.825--2.500%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-12-28T18:33:16Anton RepkoDeskMini2000000200000027P-12686.0253.777


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-08-12T00:00:00Net_Forcev4_computers21256--0.000--
2001-08-24T00:00:00Mattv4_computers21258--0.002--
2004-01-18T00:00:00markrv4_computers21262--0.024--
2004-04-20T00:00:00Helgenv4_computers21267--1.174--
2016-01-04T21:26:37VictordeHollanderManual testing267268--1.181--
2017-05-29T00:27:31ramgeisManual testing268269--2.362--
2017-05-29T00:27:31ramgeisManual testing269270--4.724--
2021-06-10T08:58:36mikrManual testing270271--9.448--
2021-08-28T18:56:14TheJudgerManual testing271272--18.90--
2021-08-28T18:56:14TheJudgerManual testing272273--37.79--
2021-10-01T20:02:39TheJudgerManual testing273274--75.59--
2021-10-17T21:00:27TheJudgerManual testing274275--151.2--


ECM factoring results:
No ECM results for M25309409


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2005-02-02T00:00:00ANONYMOUSv4_computersA4416D5ADFF4CA9A21.69
2011-02-25T05:00:00S485122T63-0A4416D5ADFF4CA9A21.69


PRP results:
No PRP results for M25309409


P-1 factor-bounds graph:
B1 = 2000000 (P-1 stage 1)
B1 = 300000, B2 = 6975000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
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107
TF factor-bounds graph:
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2100
Last modified: 2021-12-28T18:33:16+00:00