Marin Mersenne 2^P-1
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Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

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Exponent Range:










MnStatusDetails
3174319Factored
FactorDigitsBitsDate
127544137431133.6old
400292713147078133216812375.12021-01-04 15:32:53
29691622456696552127652412581.32022-09-07 16:36:04
ECM
DigitsB1Curves
25500003 / 280
Estimated T-Level: 20.1
TF below 2^62 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified (Factored)2017-10-31Oliver KruseB06010843E9E42EC1156494453
Verified (Factored)2017-12-13kkmrkkblmbrbkB06010843E9E42EC1216327953
Verified (Factored)2021-01-05riccardo ubertiB06010843E9E42EC224264953
Verified2022-09-17krackerB06010843E9E42EC325061253
P-1 factors
DateFactorB1B2
2021-01-04400292713147078133216813174313174319
2022-09-0729691622456696552127652411052294226749600
History
DateUserTypeResult
2022-09-17krackerC-PRP
M3174319/12754413743/40029271314707813321681/2969162245669655212765241 : B06010843E9E42EC
PRP: Verified
PRP without proof (not generated)
2022-09-07JossF-PM1
Factor: 2969162245669655212765241 / (P-1, B1=1052294, B2=226749600)
2022-04-01LordJuliusNF
no factor from 2^66 to 2^67
2022-04-01LordJuliusNF
no factor from 2^65 to 2^66
2022-01-11JossNF-PM1
B1=1052294, B2=119912100
2021-09-27JossNF
no factor from 2^67 to 2^68
2021-01-16JossNF
no factor from 2^64 to 2^65
2021-01-06JossNF
no factor from 2^63 to 2^64
2021-01-05Ben DeloCERT
PRP Certification
Proof certified good
2021-01-05riccardo ubertiC-PRP
M3174319/12754413743/40029271314707813321681 : B06010843E9E42EC
PRP proof power = 7
PRP: Verified (Factored)
Proof certified good
2021-01-05JossNF
no factor from 2^62 to 2^63
2021-01-04JossNF
no factor from 2^61 to 2^62
2021-01-04JossF-PM1
Factor: 40029271314707813321681 / (P-1, B1=317431, B2=3174319, E=6)
2021-01-04JossNF
no factor from 2^60 to 2^61
2021-01-04JossNF
no factor from 2^59 to 2^60
2021-01-04JossNF-PM1
B1=317431
2017-12-13kkmrkkblmbrbkC-PRP
M3174319/12754413743 : B06010843E9E42EC
PRP: Verified
PRP without proof (not generated)
2017-10-31Oliver KruseC-PRP
M3174319/12754413743 : B06010843E9E42EC
PRP: Verified
PRP without proof (not generated)