Marin Mersenne 2^P-1
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MnStatusDetails
314711Composite, with 2 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
1067118220311556676872166.52014-09-19 12:42:58
336625459158115485495292374.82008-09-15 01:00:36
ECM
DigitsB1Curves
2550000280 / 280
30250000602 / 640
Estimated T-Level: 29.7
TF below 2^94 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)David Slowinski3A5D0
Verified (Factored)Unknown3A5D0
Verified (Factored)Klaus Kastens2D69DE3D9F2EBA5D0
Verified (Factored)Eivind Triel2D69DE3D9F2EBA5D28558
Verified (Factored)2001-12-22Dennis Pope2D69DE3D9F2EBA5D204041
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-22Oliver KruseAF392689189674FB2013
Verified2017-10-12Oliver KruseAF392689189674FB27297513
Verified2017-12-11ATHAF392689189674FB22700213
Verified2020-04-18Oliver Kruse46CADBCDBF7C0D0E22334753
Verified2024-08-29kkmrkkblmbrbk46CADBCDBF7C0D0E211273053
History
DateUserTypeResult
2024-08-29Luke DurantCERT
PRP Certification
Proof certified good
2024-08-29kkmrkkblmbrbkC-PRP
M314711/106711822031155667687/33662545915811548549529 : 46CADBCDBF7C0D0E
PRP proof power = 5
PRP: Verified
Proof certified good
2022-03-07LordJuliusNF
no factor from 2^54 to 2^55
2021-05-11George WoltmanNF-PP1
Start=2/7, B1=7500000, B2=592500000
2021-05-07George WoltmanNF-PM1
B1=15000000, B2=1305000000
2020-04-18Oliver KruseC-PRP
M314711/106711822031155667687/33662545915811548549529 : 46CADBCDBF7C0D0E
PRP: Verified
PRP without proof (small exponent)
2017-12-11ATHC-PRP
M314711/106711822031155667687/33662545915811548549529 : AF392689189674FB
PRP: Verified
PRP without proof (small exponent)
2017-10-12Oliver KruseC-PRP
M314711/33662545915811548549529/106711822031155667687 : AF392689189674FB
PRP: Verified
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M314711/known_factors : AF392689189674FB
PRP without proof (not generated)
2014-09-19TJAOIF-ECM
Factor: 106711822031155667687 / (ECM curve 14, B1=50000, B2=5000000)
2008-09-15Sturle SundeF-ECM
Factor: 33662545915811548549529