Marin Mersenne 2^P-1
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Finding World Record Primes Since 1996

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MnStatusDetails
314603Composite, with 1 known prime factor. Cofactor is composite.
Factored
FactorDigitsBitsDate
42907516612671424618589236332891.82008-11-23 07:36:19
ECM
DigitsB1Curves
2550000280 / 280
30250000545 / 640
Estimated T-Level: 29.3
TF below 2^92 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)David Slowinski1E290
Verified (Factored)Unknown1E290
Verified (Factored)Klaus KastensDB6BEAE76AEB9E290
Verified (Factored)Eivind TrielDB6BEAE76AEB9E29154274
Verified (Factored)2001-12-22Dennis PopeDB6BEAE76AEB9E29154670
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-22Oliver KruseD053053593D2EC031013
Verified2017-10-12Oliver KruseD053053593D2EC03113638213
Verified2017-12-11ATHD053053593D2EC0311348313
Verified2020-04-18Oliver Kruse41D89F58D64F513C112924653
Verified2024-08-29kkmrkkblmbrbk41D89F58D64F513C119795653
History
DateUserTypeResult
2024-08-29Daniel_HarndenCERT
PRP Certification
Proof certified good
2024-08-29kkmrkkblmbrbkC-PRP
M314603/4290751661267142461858923633 : 41D89F58D64F513C
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
M314603/4290751661267142461858923633 : 41D89F58D64F513C
PRP: Verified
PRP without proof (small exponent)
2017-12-11ATHC-PRP
M314603/4290751661267142461858923633 : D053053593D2EC03
PRP: Verified
PRP without proof (small exponent)
2017-10-12Oliver KruseC-PRP
M314603/4290751661267142461858923633 : D053053593D2EC03
PRP: Verified
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M314603/4290751661267142461858923633 : D053053593D2EC03
PRP: Verified
PRP without proof (not generated)
2017-09-22Oliver KruseC-PRP
M314603/4290751661267142461858923633 : D053053593D2EC03
PRP without proof (not generated)
2008-11-23GrunwalderGIMPF-PM1
Factor: 4290751661267142461858923633