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

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MnStatusDetails
3164569Factored
FactorDigitsBitsDate
43314880342228925961532271.92020-12-30 17:36:30
ECM
DigitsB1Curves
255000026 / 280
Estimated T-Level: 20.5
TF below 2^63 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)1998-05-23Brian BeuningF8A6508FA3B5205A0
Verified (Factored)1999-10-15Gordon M. SpenceF8A6508FA3B5205A813689
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2020-12-30mrh9FCAC143EEA835BC137831053
History
DateUserTypeResult
2022-09-07JossNF-PM1
B1=1088569, B2=226749600
2022-01-24JossNF-PM1
B1=1088569, B2=119912100
2021-02-18JossNF
no factor from 2^66 to 2^67
2021-02-18JossNF
no factor from 2^65 to 2^66
2021-01-17JossNF-PM1
B1=572113, B2=3164569, E=6
2020-12-30Magnus LarssonCERT
PRP Certification
Proof certified good
2020-12-30mrhC-PRP
M3164569/4331488034222892596153 : 9FCAC143EEA835BC
PRP proof power = 7
PRP: Verified
Proof certified good
2020-12-30Denis PorvaF-ECM
Factor: 4331488034222892596153 / (ECM curve 4, B1=50000, B2=5000000, Sigma=8529009851256205)
2019-07-22mikrNF-PM1
B1=3000000, B2=100000000, E=12
2019-01-21TJAOINF
no factor from 2^67 to 2^68
2017-04-22Gordon SpenceNF
no factor from 2^66 to 2^67
2015-11-28HBendtzNF-PM1
B1=500000, B2=12000000, e=12
2015-11-06JossNF-PM1
B1=552113
2015-08-10JossNF-PM1
B1=433959
2015-06-17ThaNF
no factor from 2^65 to 2^66
2015-02-11VictordeHollanderNF
no factor from 2^64 to 2^65
2015-02-11VictordeHollanderNF
no factor from 2^63 to 2^64
2014-09-25JossNF-PM1
B1=100564
2014-06-01JossNF-PM1
B1=80282
2013-01-03dbaughNF
no factor from 2^62 to 2^63
2011-10-29Grant McCrackenNF
no factor from 2^61 to 2^62
2011-09-17USAFSSNF-PM1
B1=60000, B2=960000, E=6
2009-04-11S485122NF
no factor from 2^60 to 2^61