Marin Mersenne 2^P-1
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MnStatusDetails
312527Composite, with 1 known prime factor. Cofactor is composite.
Factored
FactorDigitsBitsDate
195495159488439733207437919992994.02011-01-05 00:41:38
ECM
DigitsB1Curves
2550000280 / 280
30250000503 / 640
Estimated T-Level: 28.9
TF below 2^91 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)David Slowinski16050
Verified (Factored)Unknown16050
Verified (Factored)Klaus KastensDE9C1976382616050
Verified (Factored)Eivind TrielDE9C197638261605145112
Verified (Factored)2001-12-22Dennis PopeDE9C197638261605191599
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-22Oliver KruseE2927BA882F56BA01013
Verified2017-10-12Oliver KruseE2927BA882F56BA014297313
Verified2017-12-11ATHE2927BA882F56BA015207213
Verified2020-04-18Oliver Kruse8C531862E8BF8A38110704553
Verified2024-08-28kkmrkkblmbrbk8C531862E8BF8A3814757253
History
DateUserTypeResult
2024-08-28Luke DurantCERT
PRP Certification
Proof certified good
2024-08-28kkmrkkblmbrbkC-PRP
M312527/19549515948843973320743791999 : 8C531862E8BF8A38
PRP proof power = 5
PRP: Verified
Proof certified good
2022-03-07LordJuliusNF
no factor from 2^54 to 2^55
2021-05-02George WoltmanNF-PM1
B1=20000000, B2=1440000000
2020-04-18Oliver KruseC-PRP
M312527/19549515948843973320743791999 : 8C531862E8BF8A38
PRP: Verified
PRP without proof (small exponent)
2017-12-11ATHC-PRP
M312527/19549515948843973320743791999 : E2927BA882F56BA0
PRP: Verified
PRP without proof (small exponent)
2017-10-12Oliver KruseC-PRP
M312527/19549515948843973320743791999 : E2927BA882F56BA0
PRP: Verified
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M312527/19549515948843973320743791999 : E2927BA882F56BA0
PRP: Verified
PRP without proof (not generated)
2017-09-22Oliver KruseC-PRP
M312527/19549515948843973320743791999 : E2927BA882F56BA0
PRP without proof (not generated)
2011-01-05Sturle SundeF-ECM
Factor: 19549515948843973320743791999
2009-01-29Sturle SundeNF
no factor from 2^59 to 2^60
2008-12-31Sturle SundeNF
no factor from 2^58 to 2^59
2008-11-21GrunwalderGIMPNF-PM1
B1=2000000, B2=200000000, E=12