Marin Mersenne 2^P-1
Username
Password
Forgot password?
White
Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

Exponent Range:










MnStatusDetails
14306819Composite, with 1 known prime factor. Cofactor is composite.
Factored
FactorDigitsBitsDate
103143142715676146316472373.12022-03-02 13:11:49
ECM
DigitsB1Curves
25500001 / 280
Estimated T-Level: 20.0 ⓘ
TF below 2^61 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)2002-02-17Ars Technica Team Prime RibE5B90538A7777EA612640300
Verified (Factored)2005-05-12Ars Technica Team Prime RibE5B90538A7777EA67673605
Verified (Factored)2005-06-19Brian J. BeesleyE5B90538A7777EA6330593
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified2023-01-24PerigF5E87D77AC5364CD1884949253
P-1 factors
DateFactorB1B2
2022-03-021031431427156761463164715000004677773100
History
DateUserTypeResult
2023-01-24WeakForceBosonCERT
PRP Certification
Proof certified good
2023-01-24PerigC-PRP
M14306819/10314314271567614631647 : F5E87D77AC5364CD
PRP proof power = 8
PRP: Verified
Proof certified good
2022-03-02LuminescenceF-PM1
Factor: 10314314271567614631647 / (P-1, B1=1500000, B2=4677773100)
2021-10-16-Anonymous-NF
no factor from 2^71 to 2^72
2021-09-01SRBaseNF
no factor from 2^70 to 2^71
2021-08-09SRBaseNF
no factor from 2^69 to 2^70
2018-02-09ramgeisNF
no factor from 2^68 to 2^69
2018-02-09ramgeisNF
no factor from 2^67 to 2^68
2015-09-03ThaNF
no factor from 2^66 to 2^67
2014-08-14NesowaNF
no factor from 2^65 to 2^66