Marin Mersenne 2^P-1
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MnStatusDetails
1586327Composite, with 2 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
85766659186713312971962.92008-03-19 05:19:49
447239127823501624632065.32018-08-29 11:26:57
ECM
DigitsB1Curves
2550000280 / 280
30250000107 / 640
Estimated T-Level: 25.8
TF below 2^81 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)john rheinstein177E9A6789BA55310
Verified (Factored)1998-11-07Ars Technica Team Prime Rib177E9A6789BA5531494727
PRP
StatusDateUserResidueShiftTypeBase
Verified (Factored)2025-09-02KrieselEB633E4774DAC079013
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified (Factored)2017-10-02Oliver KruseB570B2CB3F22FBF01013
Verified (Factored)2017-10-31kkmrkkblmbrbkB570B2CB3F22FBF01120961113
Verified2018-08-29ATHEB633E4774DAC079261598653
Verified2018-08-30arnaudEB633E4774DAC079239502353
History
DateUserTypeResult
2025-09-030xCERT
PRP Certification
CERT proof power = 6
Proof certified good
2025-09-02KrieselC-PRP
EB633E4774DAC079
PRP proof power = 6
PRP: Verified (Factored)
Proof certified good
2022-03-09LordJuliusNF
no factor from 2^1 to 2^61
2022-03-08LordJuliusNF
no factor from 2^64 to 2^65
2022-03-08LordJuliusNF
no factor from 2^63 to 2^64
2022-03-08LordJuliusNF
no factor from 2^61 to 2^62
2022-03-08LordJuliusNF
no factor from 2^58 to 2^61
2018-08-30arnaudC-PRP
M1586327/8576665918671331297/44723912782350162463 : EB633E4774DAC079
PRP: Verified
PRP without proof (not generated)
2018-08-29ATHC-PRP
M1586327/8576665918671331297/44723912782350162463 : EB633E4774DAC079
PRP: Verified
PRP without proof (not generated)
2018-08-29TJAOIF
Factor: 44723912782350162463 / TF: 65-66
2017-10-31kkmrkkblmbrbkC-PRP
M1586327/8576665918671331297 : B570B2CB3F22FBF0
PRP: Verified
PRP without proof (not generated)
2017-10-02Oliver KruseC-PRP
M1586327/8576665918671331297 : B570B2CB3F22FBF0
PRP: Verified
PRP without proof (not generated)
2016-03-17alpertronNF-PM1
B1=500000, B2=15000000, E=12
2008-03-19Sturle SundeF-ECM
Factor: 8576665918671331297