is 2 25342253 - 1
has 7628779 decimal digits
takes 21.717 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L4005F44368E83838double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual275301.942766.6667%30000069750000.82472.5008%302.767467.5003%0.8336%
PrimeNet2660.582862.1212%11000040000000.40004.9866%0.982864.0101%1.8889%
GPU722709.428964.2857%18000055000000.58383.7395%10.012865.6212%1.3355%
Difference+5+292.5138+2.3810%+120000+1475000+0.2408-1.2387%+292.7546+1.8790%+1.8790%

Known prime factors (1 factor, 80.6 bits, 0.00031801% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2534225318220011033264540044886732580.59235947891123304112
24 × 32 × 23 × 29 × 107 × 163 × 21459209		2021-11-231632145920919,2241.45302.7133

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2005-10-04T00:00:00ANONYMOUSv4_computers3000006975000---0.825--2.501%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-11-23T22:08:20Anton RepkoRe8200000012000000027P-12580.59211.61


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-08-12T00:00:00Net_Forcev4_computers21256--0.000--
2001-08-24T00:00:00Mattv4_computers21258--0.002--
2004-02-07T00:00:00markrv4_computers21262--0.024--
2004-04-29T00:00:00ANONYMOUSv4_computers21267--1.173--
2016-01-15T21:25:31VictordeHollanderManual testing267268--1.179--
2017-05-29T13:41:52ramgeisManual testing268269--2.359--
2017-05-29T13:41:52ramgeisManual testing269270--4.718--
2021-06-12T18:45:26mikrManual testing270271--9.436--
2021-08-28T20:01:10TheJudgerManual testing271272--18.87--
2021-08-28T20:01:10TheJudgerManual testing272273--37.74--
2021-09-30T20:12:15TheJudgerManual testing273274--75.49--
2021-09-30T20:24:30TheJudgerManual testing274275--151.0--


ECM factoring results:
No ECM results for M25342253


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2005-11-13T00:00:00ANONYMOUSv4_computers4005F44368E8383821.72
2010-12-24T20:56:00Fred Cirera4005F44368E8383821.72


PRP results:
No PRP results for M25342253


P-1 factor-bounds graph:
B1 = 2000000, B2 = 120000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 300000, B2 = 6975000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-11-23T22:08:20+00:00