is 2 110459903 - 1
has 33251745 decimal digits
takes 484.796 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
Actual277277.097564.9351%7640002267200012.45803.6281%289.555566.2073%1.2722%
PrimeNet2728.657762.5000%4500002400000011.02915.5101%19.686864.5663%2.0663%
GPU72276138.548064.4737%7000002600000013.22684.0499%151.774865.9125%1.4388%
Difference+1+138.5496+0.4614%+64000-3328000-0.7688-0.4218%+137.7808+0.2948%+0.2948%

Known prime factors (1 factor, 80.2 bits, 0.00007263% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
11045990314108102955005962351905292580.2236386074300194688
27 × 112 × 13877 × 29712763
2022-03-1413877297127632,892.410.38619.241

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-03-14T19:54:45JacobZMServer76400022672000122580.22312.46969.624.923.628%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2010-05-05T14:45:00EPF263264--0.018--
2010-09-18T13:08:00sasaki3mate24264265--0.034--
2012-05-26T22:37:00tscpdm265266--0.068--
2013-09-30T12:20:00ANONYMOUSManual testing266267--0.135--
2013-09-30T18:21:00instant28Manual testing266267--0.135--
2013-10-01T02:38:00instant28Manual testing267268--0.271--
2013-10-01T22:34:00instant28Manual testing268269--0.541--
2014-06-23T04:38:00Andreas_TruetschManual testing269270--1.082--
2014-07-30T08:03:00Helmut KirrmaierX4170RH5226270271--2.165--
2019-01-23T17:53:22Niels_Mache_NextcloudManual testing271272--4.330--
2020-05-05T22:26:09GROBERTSManual testing272273--8.659--
2020-07-30T14:32:12TheGazManManual testing273274--17.32--
2021-05-07T18:34:10TheJudgerManual testing274275--34.64--
2021-05-07T18:34:10TheJudgerManual testing275276--69.27--
2022-01-23T23:12:16David HruskaManual testing276277--138.5--


ECM factoring results:
No ECM results for M110459903


Lucas-Lehmer results:
No L-L results for M110459903


PRP results:
No PRP results for M110459903


P-1 factor-bounds graph:
B1 = 764000, B2 = 22672000 (P-1 stage 2)
B1 = 764000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-14T19:54:45+00:00