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

PrimeNet Exponent Status

Exponent Range:










MnStatusDetails
6829619Factored
FactorDigitsBitsDate
70174667859940535958290172582.52021-12-31 13:56:58
712451010261943030688352399592995.82021-12-31 13:56:58
ECM
DigitsB1Curves
25500006 / 280
Estimated T-Level: 20.1 ⓘ
TF below 2^62 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)2000-06-11Michael Reel05334EE70ADE740B1312003
Verified (Factored)2001-12-22Hugh Molyneux05334EE70ADE740B839974
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified2022-01-01LuminescenceD52C2D0356E6E3062614129953
P-1 factors
DateFactorB1B2
2021-12-3149996013011610938560206490110131498710614818673009030310000002585512020
History
DateUserTypeResult
2022-01-01YoonCERT
PRP Certification
Proof certified good
2022-01-01LuminescenceC-PRP
M6829619/7017466785994053595829017/71245101026194303068835239959 : D52C2D0356E6E306
PRP proof power = 8
PRP: Verified
Proof certified good
2021-12-31LuminescenceF-PM1
Factor: 499960130116109385602064901101314987106148186730090303 / (P-1, B1=1000000, B2=2585512020)
2021-09-25SRBaseNF
no factor from 2^71 to 2^72
2021-08-10SRBaseNF
no factor from 2^70 to 2^71
2021-06-19takahashiNF
no factor from 2^69 to 2^70
2020-05-15TJAOINF
no factor from 2^68 to 2^69
2019-11-19takahashiNF-PM1
B1=600000, B2=12000000, E=12
2018-02-27-Anonymous-NF
no factor from 2^67 to 2^68
2016-05-01Gordon SpenceNF
no factor from 2^66 to 2^67
2015-06-26VictordeHollanderNF
no factor from 2^65 to 2^66
2013-11-10David CampeauNF
no factor from 2^64 to 2^65
2011-11-21James HeinrichNF-PM1
B1=120000, B2=2250000, E=6
2011-11-05James HeinrichNF
no factor from 2^63 to 2^64