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

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Exponent Range:










MnStatusDetails
649081Factored
FactorDigitsBitsDate
27123046514728422525435832581.22021-01-31 05:50:18
ECM
DigitsB1Curves
2550000280 / 280
30250000212 / 640
Estimated T-Level: 26.7
TF below 2^84 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)David Slowinski35520
Verified (Factored)Glenn Leider4656FD1F264575520
Verified (Factored)2002-09-14John Zabel4656FD1F26457552256151
Verified (Factored)2015-04-11MadPoo4656FD1F26457552432915
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2021-01-31ViliamF42FBE7BA8B6A39EA146952753
History
DateUserTypeResult
2022-03-07LordJuliusNF
no factor from 2^67 to 2^68
2022-03-07LordJuliusNF
no factor from 2^66 to 2^67
2022-03-06LordJuliusNF
no factor from 2^54 to 2^55
2022-03-06Team_InspectorNF
no factor from 2^54 to 2^55
2021-01-31Chun sung sooCERT
PRP Certification
Proof certified good
2021-01-31ViliamFC-PRP
M649081/2712304651472842252543583 : 42FBE7BA8B6A39EA
PRP proof power = 6
PRP: Verified
Proof certified good
2021-01-31GANF-ECM
Factor: 2712304651472842252543583 / (ECM curve 4, B1=250000, B2=25000000, Sigma=5356120225245404)
2021-01-16ViliamFNF-PM1
B1=25000000, B2=750000000, E=12
2020-11-24Carlos PinhoNF-PM1
B1=46000, B2=1982000, E=6
2019-03-21Smok_bmv NF
no factor from 2^68 to 2^69
2019-03-20Smok_bmv NF
no factor from 2^67 to 2^68
2019-03-20Smok_bmv NF
no factor from 2^66 to 2^67
2017-07-27Smok_bmv NF
no factor from 2^65 to 2^66
2017-06-27Smok_bmv NF
no factor from 2^64 to 2^65
2015-11-15Sid & AndyNF-PM1
B1=6490810, B2=194724300, E=12
2015-10-20Gordon SpenceNF
no factor from 2^63 to 2^64
2015-10-20Gordon SpenceNF
no factor from 2^62 to 2^63
2015-06-01lycornNF
no factor from 2^61 to 2^62
2015-04-11MadPooC-LL
4656FD1F26457552
2013-10-22David CampeauNF-PM1
B1=1300000, B2=41600000, E=12
2012-08-11JossNF-PM1
B1=1298162
2012-06-19JossNF-PM1
B1=649087
2011-09-05JossNF-PM1
B1=581839
2011-07-10JossNF-PM1
B1=349103
2011-01-09Sid & AndyNF
no factor from 2^60 to 2^61
2008-10-11Sturle SundeNF
no factor from 2^59 to 2^60
2008-10-11Sturle SundeNF
no factor from 2^58 to 2^59