is 2 113348429 - 1
has 34121278 decimal digits
takes 497.474 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2791,080.149065.8228%4000000400000025.45562.1684%1,105.604566.5639%
Target276135.017364.4737%7000002600000013.22684.0625%148.244165.9169%
Difference+3+945.1317+1.3491%+3300000-22000000+12.2288-1.8941%+957.3605+0.6469%

Known prime factors (1 factor, 81.6 bits, 0.00007198% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
11334842936298643070250189982701692581.58616011974488967196
22 × 3 × 17 × 31 × 61 × 839 × 49472201		2022-01-07839494722015,588.717.15832.037

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-01-07Paul UnderwoodManual testing400000040000002581.58625.46994.950.912.168%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2010-06-301997rj7Manual testing263264--0.017--
2010-09-30RichardUNKNOWN264265--0.033--
2012-06-10Richardworkmy265266--0.066--
2013-10-09ChrisS94Manual testing266267--0.132--
2013-10-10ANONYMOUSManual testing267268--0.264--
2013-10-10ANONYMOUSManual testing268269--0.527--
2013-10-10ANONYMOUSManual testing269270--1.055--
2013-10-10ANONYMOUSManual testing270271--2.110--
2013-10-10ANONYMOUSManual testing271272--4.219--
2020-04-22SRBaseManual testing272273--8.439--
2020-08-25Michal_FManual testing273274--16.88--
2021-01-17arpcarManual testing274275--33.75--
2021-01-20arpcarManual testing275276--67.51--
2021-03-10arpcarManual testing276277--135.0--
2021-03-10arpcarManual testing277278--270.0--
2021-04-28arpcarManual testing278279--540.1--


ECM factoring results:
No ECM results for M113348429


Lucas-Lehmer results:
No L-L results for M113348429


PRP results:
No PRP results for M113348429


P-1 factor-bounds graph:
B1 = 4000000 (P-1 stage 1)
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105
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107
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107
108
TF factor-bounds graph:
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275
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this exponent TF target: 76
TF double-checked to: 67.7
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Last modified: 2023-03-25T13:08:14+00:00