Marin Mersenne 2^P-1
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MnStatusDetails
894259Composite, with 2 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
34644039898478217591961.62009-10-30 20:37:33
105767196950596574749228482232993.12024-04-12 16:13:06
ECM
DigitsB1Curves
2550000280 / 280
30250000100 / 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)David Slowinski29A40
Verified (Factored)Thiemo Sammern5CA0C4238BD5E9A40
Verified (Factored)2002-01-28Marc Getty / Phil Fizur5CA0C4238BD5E9A4462542
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified (Factored)2017-09-28Oliver Kruse55CF2D2D54D1E49B1013
Verified (Factored)2017-10-14Oliver Kruse55CF2D2D54D1E49B158182913
Verified (Factored)2017-12-20ATH55CF2D2D54D1E49B182449613
Verified (Factored)2020-04-22Oliver Kruse69F07E42CADA4039187526753
Verified2024-04-12Anton Tsvetkov69F07E42CADA4039269593053
P-1 factors
DateFactorB1B2
2024-04-1210576719695059657474922848223800000010032425130
History
DateUserTypeResult
2024-04-12LOBESCERT
PRP Certification
Proof certified good
2024-04-12Anton TsvetkovC-PRP
M894259/3464403989847821759/10576719695059657474922848223 : 69F07E42CADA4039
PRP proof power = 6
PRP: Verified
Proof certified good
2024-04-12Anton TsvetkovF-PM1
Factor: 10576719695059657474922848223 / (P-1, B1=8000000, B2=10032425130)
2022-03-07LordJuliusNF
no factor from 2^58 to 2^59
2020-04-22Oliver KruseC-PRP
M894259/3464403989847821759 : 69F07E42CADA4039
PRP: Verified (Factored)
PRP without proof (small exponent)
2017-12-20ATHC-PRP
M894259/3464403989847821759 : 55CF2D2D54D1E49B
PRP: Verified (Factored)
PRP without proof (small exponent)
2017-10-14Oliver KruseC-PRP
M894259/3464403989847821759 : 55CF2D2D54D1E49B
PRP: Verified (Factored)
PRP without proof (small exponent)
2017-09-28Oliver KruseC-PRP
M894259/3464403989847821759 : 55CF2D2D54D1E49B
PRP: Verified (Factored)
PRP without proof (not generated)
2016-03-17alpertronNF-PM1
B1=300000, B2=10000000, E=12
2009-10-30LupoF-ECM
Factor: 3464403989847821759