is 2 109234837 - 1
has 32882963 decimal digits
takes 479.420 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual277280.205264.9351%7590002137800011.97933.5790%292.184466.1900%1.2550%
PrimeNet2728.754862.5000%4500002400000011.02915.5029%19.783964.5636%2.0636%
GPU72276140.101864.4737%7000002400000012.53343.9847%152.635165.8893%1.4156%
Difference+1+140.1034+0.4614%+59000-2622000-0.5541-0.4057%+139.5493+0.3007%+0.3007%

Known prime factors (1 factor, 78.2 bits, 0.00007156% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1092348373397521625729442724199272478.1691555145647230399
3 × 7 × 191 × 13933 × 27827473
2022-03-111393327827473914.499.73218.021

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-03-11T02:28:22tottenhoff2011pc7590002137800042478.16911.98958.823.963.579%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2010-04-28T16:06:00carlos56celeron4263264--0.018--
2010-09-13T20:11:00Mr-Plonklinux-i7-920264265--0.034--
2012-06-01T09:50:00Richard8F02265266--0.068--
2013-09-27T07:23:00g0bManual testing266267--0.137--
2013-09-29T12:46:00Robish267268--0.274--
2013-09-30T17:12:00Brian Jongekrygsaturn268269--0.547--
2013-10-03T11:31:00bayanneMacPro269270--1.095--
2014-11-01T07:00:00shaugeManual testing270271--2.189--
2019-01-27T19:10:23Niels_Mache_NextcloudManual testing271272--4.378--
2020-02-28T22:57:49DOCUSTOMPCManual testing272273--8.756--
2020-03-15T21:58:28tscManual testing273274--17.51--
2021-04-26T21:09:43TheJudgerManual testing274275--35.03--
2021-04-26T21:09:43TheJudgerManual testing275276--70.05--
2022-02-13T20:21:21tServoManual testing276277--140.1--


ECM factoring results:
No ECM results for M109234837


Lucas-Lehmer results:
No L-L results for M109234837


PRP results:
No PRP results for M109234837


P-1 factor-bounds graph:
B1 = 759000, B2 = 21378000 (P-1 stage 2)
B1 = 759000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-11T02:28:22+00:00