Marin Mersenne 2^P-1
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MnStatusDetails
276251Composite, with 1 known prime factor. Cofactor is composite.
Factored
FactorDigitsBitsDate
41224303115932782731961.82008-03-19 11:52:06
ECM
DigitsB1Curves
2550000280 / 280
30250000588 / 640
Estimated T-Level: 29.6
TF below 2^93 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)David SlowinskiE1B0
Verified (Factored)Unknown0E1B0
Verified (Factored)Brian J. BeesleyBD23EDA3326F8E1B0
Verified (Factored)Eivind TrielBD23EDA3326F8E1B55536
Verified (Factored)2001-11-24Brian J. BeesleyBD23EDA3326F8E1B257801
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-22Oliver Kruse36DE7FF038CE77C21013
Verified2017-10-12Oliver Kruse36DE7FF038CE77C2120739013
Verified2017-11-06kkmrkkblmbrbk36DE7FF038CE77C2113086713
Verified2020-04-17Oliver Kruse6BD436DB495DBB3D118258453
Verified2024-08-05kkmrkkblmbrbk6BD436DB495DBB3D125643053
History
DateUserTypeResult
2024-11-01yuriy_5-1NF-PM1
B1=25415092, B2=6224556508170
2024-08-05Luke DurantCERT
PRP Certification
Proof certified good
2024-08-05kkmrkkblmbrbkC-PRP
M276251/4122430311593278273 : 6BD436DB495DBB3D
PRP proof power = 5
PRP: Verified
Proof certified good
2022-03-07LordJuliusNF
no factor from 2^54 to 2^55
2020-04-17Oliver KruseC-PRP
M276251/4122430311593278273 : 6BD436DB495DBB3D
PRP: Verified
PRP without proof (small exponent)
2017-11-06kkmrkkblmbrbkC-PRP
M276251/4122430311593278273 : 36DE7FF038CE77C2
PRP: Verified
PRP without proof (small exponent)
2017-10-12Oliver KruseC-PRP
M276251/4122430311593278273 : 36DE7FF038CE77C2
PRP: Verified
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M276251/4122430311593278273 : 36DE7FF038CE77C2
PRP: Verified
PRP without proof (not generated)
2017-09-22Oliver KruseC-PRP
M276251/4122430311593278273 : 36DE7FF038CE77C2
PRP without proof (not generated)
2008-03-19paulieF-ECM
Factor: 4122430311593278273