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

PrimeNet Exponent Status

Exponent Range:










MnStatusDetails
316453Composite, with 3 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
18913148985191340.8old
197074979134731444.22008-07-21 09:16:36
10693871040820016514312269.92014-02-26 23:21:42
ECM
DigitsB1Curves
2550000280 / 280
30250000506 / 640
Estimated T-Level: 29.0
TF below 2^91 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-22Oliver KruseB071E11C7D38E6C43013
Verified2017-10-13Oliver KruseB071E11C7D38E6C4318355713
Verified2017-12-11ATHB071E11C7D38E6C431051513
Verified2020-04-18Oliver Kruse8A61B9CF147F9F69330537953
Verified2024-08-30kkmrkkblmbrbk8A61B9CF147F9F69322846053
History
DateUserTypeResult
2024-08-31Choi4KANGCERT
PRP Certification
Proof certified good
2024-08-30kkmrkkblmbrbkC-PRP
M316453/1891314898519/19707497913473/1069387104082001651431 : 8A61B9CF147F9F69
PRP proof power = 5
PRP: Verified
Proof certified good
2021-05-20George WoltmanNF-PP1
Start=2/7, B1=7500000, B2=592500000
2021-05-20George WoltmanNF-PM1
B1=15000000, B2=1290000000
2020-04-18Oliver KruseC-PRP
M316453/1891314898519/19707497913473/1069387104082001651431 : 8A61B9CF147F9F69
PRP: Verified
PRP without proof (small exponent)
2017-12-11ATHC-PRP
M316453/1891314898519/19707497913473/1069387104082001651431 : B071E11C7D38E6C4
PRP: Verified
PRP without proof (small exponent)
2017-10-13Oliver KruseC-PRP
M316453/1891314898519/19707497913473/1069387104082001651431 : B071E11C7D38E6C4
PRP: Verified
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M316453/known_factors : B071E11C7D38E6C4
PRP without proof (not generated)
2014-02-26Richard B. WoodsF-ECM
Factor: 1069387104082001651431
2008-07-21J FeitsmaF
Factor: 19707497913473