is 2 24671419 - 1
has 7426838 decimal digits
takes 20.011 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA8435D63EF9A87B8double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual274155.072866.2162%27500043312500.58332.4563%155.656167.0460%0.8298%
PrimeNet2660.598662.1212%11000040000000.37864.9687%0.977264.0033%1.8821%
GPU722709.685364.2857%17000050000000.50943.6209%10.194865.5789%1.2932%
Difference+4+145.3875+1.9305%+105000-668750+0.0739-1.1647%+145.4614+1.4671%-0.4634%

Known prime factors:
No known factors for M24671419

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-06-04T00:00:00ANONYMOUSv4_computers2750004331250---0.583--2.456%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-09-16T00:00:00Net_Forcev4_computers21256--0.000--
2001-12-22T00:00:00Mattv4_computers21258--0.002--
2003-08-31T00:00:00Net_Forcev4_computers21260--0.006--
2004-02-14T00:00:00ANONYMOUSv4_computers21267--1.204--
2016-05-24T15:09:39VictordeHollanderManual testing267268--1.212--
2018-02-24T20:16:10VictordeHollanderManual testing268269--2.423--
2018-09-05T21:59:34ramgeisManual testing269270--4.846--
2021-08-05T15:50:49SRBaseManual testing270271--9.69--
2021-08-30T15:54:43TheJudgerManual testing271272--19.38--
2021-08-30T15:54:44TheJudgerManual testing272273--38.77--
2021-09-13T17:00:03TheJudgerManual testing273274--77.54--


ECM factoring results:
No ECM results for M24671419


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2004-07-02T00:00:00ANONYMOUSv4_computersA8435D63EF9A87B820.01
2011-11-17T14:39:00shaneamyJerry-1A8435D63EF9A87B820.01


PRP results:
No PRP results for M24671419


P-1 factor-bounds graph:
B1 = 275000, B2 = 4331250 (P-1 stage 2)
B1 = 275000 (P-1 stage 1)
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107
TF factor-bounds graph:
274
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2100
Last modified: 2021-09-13T17:00:03+00:00