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
319399Factored
FactorDigitsBitsDate
88682575360566737290812272.92010-02-25 06:55:31
ECM
DigitsB1Curves
2550000280 / 280
30250000274 / 640
Estimated T-Level: 27.1
TF below 2^85 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)David Slowinski310A0
Verified (Factored)Unknown310A0
Verified (Factored)Klaus Kastens1C10037382DDB10A0
Verified (Factored)Guillermo Ballester Valor1C10037382DDB10A0
Verified (Factored)Eivind Triel1C10037382DDB10A218442
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-22Oliver Kruse36E472E8404BBA4F1013
Verified2017-10-13Oliver Kruse36E472E8404BBA4F111558513
Verified2017-12-11ATH36E472E8404BBA4F122833013
Unverified (Reliable)2020-04-18Oliver Kruse59B9E62F4E7B05__1491153
History
DateUserTypeResult
2022-03-07LordJuliusNF
no factor from 2^54 to 2^55
2021-06-01George WoltmanNF-PP1
Start=2/7, B1=7500000, B2=592500000
2021-06-01George WoltmanNF-PM1
B1=15000000, B2=1305000000
2020-04-18Oliver KruseC-PRP
M319399/8868257536056673729081 : 59B9E62F4E7B05__
PRP: Unverified (Reliable)
PRP without proof (small exponent)
2017-12-11ATHC-PRP
M319399/8868257536056673729081 : 36E472E8404BBA4F
PRP: Unverified (Reliable)
PRP without proof (small exponent)
2017-10-13Oliver KruseC-PRP
M319399/8868257536056673729081 : 36E472E8404BBA4F
PRP: Unverified (Reliable)
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M319399/8868257536056673729081 : 36E472E8404BBA4F
PRP: Unverified (Reliable)
PRP without proof (not generated)
2017-09-22Oliver KruseC-PRP
M319399/8868257536056673729081 : 36E472E8404BBA4F
PRP without proof (not generated)
2010-02-25Dmitry B. KhachaturovF-ECM
Factor: 8868257536056673729081
2009-01-24Sturle SundeNF
no factor from 2^59 to 2^60
2008-12-31Sturle SundeNF
no factor from 2^58 to 2^59
2008-11-27GrunwalderGIMPNF-PM1
B1=2000000, B2=200000000, E=12