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

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Exponent Range:










MnStatusDetails
7018709Factored
FactorDigitsBitsDate
948553112022013581526018073260931102.92021-12-31 21:54:13
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)1999-10-29Shawn MastersD371CD8596FD7A236444179
Verified (Factored)2002-03-10Willamette MathematicsD371CD8596FD7A236866649
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified2022-01-06Joe S.310B7D97E64B9572118165853
P-1 factors
DateFactorB1B2
2021-12-31948553112022013581526018073260920000002016468300
History
DateUserTypeResult
2022-01-06George WoltmanCERT
PRP Certification
Proof certified good
2022-01-06Joe S.C-PRP
M7018709/9485531120220135815260180732609 : 310B7D97E64B9572
PRP proof power = 8
PRP: Verified
Proof certified good
2021-12-31mikrF-PM1
Factor: 9485531120220135815260180732609 / (P-1, B1=2000000, B2=2016468300)
2021-09-25SRBaseNF
no factor from 2^71 to 2^72
2020-06-22mikrNF
no factor from 2^70 to 2^71
2020-06-22mikrNF
no factor from 2^69 to 2^70
2020-04-17TJAOINF
no factor from 2^68 to 2^69
2018-07-19ramgeisNF
no factor from 2^67 to 2^68
2016-04-27america64NF
no factor from 2^66 to 2^67
2015-06-12VictordeHollanderNF
no factor from 2^65 to 2^66
2014-02-13-Anonymous-NF
no factor from 2^64 to 2^65
2014-02-06NesowaNF
no factor from 2^63 to 2^64
2012-08-28Squeeky_SquirrelNF-PM1
B1=135000, B2=2835000, E=6