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
314351Factored
FactorDigitsBitsDate
200570226863940290596113609154401734110.62015-12-07 14:56:25
ECM
DigitsB1Curves
2550000280 / 280
30250000283 / 640
Estimated T-Level: 27.2
TF below 2^85 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)David Slowinski18B40
Verified (Factored)Unknown18B40
Verified (Factored)Klaus Kastens8444354407DA18B40
Verified (Factored)Eivind Triel8444354407DA18B4294162
Verified (Factored)2001-12-22Dennis Pope8444354407DA18B4267210
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-22Oliver Kruse8E2669BF0C18F37E1013
Verified2017-10-12Oliver Kruse8E2669BF0C18F37E128518813
Verified2017-12-11ATH8E2669BF0C18F37E19032113
Unverified (Reliable)2020-04-18Oliver Kruse27E82D9F2D3B1C__13067653
History
DateUserTypeResult
2022-03-07LordJuliusNF
no factor from 2^54 to 2^55
2021-05-11George WoltmanNF-PP1
Start=2/7, B1=7500000, B2=592500000
2020-04-18Oliver KruseC-PRP
M314351/2005702268639402905961136091544017 : 27E82D9F2D3B1C__
PRP: Unverified (Reliable)
PRP without proof (small exponent)
2017-12-11ATHC-PRP
M314351/2005702268639402905961136091544017 : 8E2669BF0C18F37E
PRP: Unverified (Reliable)
PRP without proof (small exponent)
2017-10-12Oliver KruseC-PRP
M314351/2005702268639402905961136091544017 : 8E2669BF0C18F37E
PRP: Unverified (Reliable)
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M314351/2005702268639402905961136091544017 : 8E2669BF0C18F37E
PRP: Unverified (Reliable)
PRP without proof (not generated)
2017-09-22Oliver KruseC-PRP
M314351/2005702268639402905961136091544017 : 8E2669BF0C18F37E
PRP without proof (not generated)
2015-12-07bamF-ECM
Factor: 2005702268639402905961136091544017 / (ECM curve 3, B1=250000, B2=25000000)
2015-07-20NRNF
no factor from 2^61 to 2^62
2012-04-27David CampeauNF
no factor from 2^60 to 2^61
2012-01-29alpertronNF-PM1
B1=10000000, B2=200000000, E=12
2009-01-24Sturle SundeNF
no factor from 2^59 to 2^60
2008-12-31Sturle SundeNF
no factor from 2^58 to 2^59
2008-11-23GrunwalderGIMPNF-PM1
B1=2000000, B2=200000000, E=12