Marin Mersenne 2^P-1
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GIMPS
Finding World Record Primes Since 1996

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Exponent Range:










MnStatusDetails
720221Factored
FactorDigitsBitsDate
4810380185659554504451353815940860641738125.22023-01-27 11:40:10
ECM
DigitsB1Curves
2550000280 / 280
30250000152 / 640
Estimated T-Level: 26.2
TF below 2^82 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)David Slowinski186E0
Verified (Factored)Ken Kriesel2CED30144D30186E0
Verified (Factored)2002-10-07S574832CED30144D30186E153522
Verified (Factored)2015-04-11MadPoo2CED30144D30186E570380
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2023-01-28Kevin_9611BE447A39ED98D58D11490153
P-1 factors
DateFactorB1B2
2023-01-274810380185659554504451353815940860641710000004929814890
History
DateUserTypeResult
2023-01-28curtiscCERT
PRP Certification
Proof certified good
2023-01-28Kevin_9611C-PRP
M720221/48103801856595545044513538159408606417 : BE447A39ED98D58D
PRP proof power = 6
PRP: Verified
Proof certified good
2023-01-27JossF-PM1
Factor: 48103801856595545044513538159408606417 / (P-1, B1=1000000, B2=4929814890)
2022-03-26Gordon SpenceNF
no factor from 2^67 to 2^68
2020-05-08Gordon SpenceNF
no factor from 2^66 to 2^67
2017-07-20Smok_bmv NF
no factor from 2^65 to 2^66
2016-05-24mikrNF-PM1
B1=24000000, B2=1200000000, E=12
2016-04-25lycornNF
no factor from 2^64 to 2^65
2015-10-14Gordon SpenceNF
no factor from 2^63 to 2^64
2015-10-14Gordon SpenceNF
no factor from 2^62 to 2^63
2015-04-11MadPooC-LL
2CED30144D30186E
2015-03-01NRNF
no factor from 2^61 to 2^62
2010-06-17Architects CubedNF
no factor from 2^60 to 2^61
2008-11-29Jayson KingNF-PM1
B1=5000000, B2=100000000, E=12
2008-10-11Sturle SundeNF
no factor from 2^59 to 2^60
2008-10-11Sturle SundeNF
no factor from 2^58 to 2^59