Marin Mersenne 2^P-1
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MnStatusDetails
334297Composite, with 1 known prime factor. Cofactor is composite.
Factored
FactorDigitsBitsDate
7762866990046166146648441512789.32010-07-12 11:34:22
ECM
DigitsB1Curves
2550000280 / 280
30250000464 / 640
Estimated T-Level: 28.6
TF below 2^90 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)David Slowinski68C0
Verified (Factored)Unknown068C0
Verified (Factored)Guillermo Ballester ValorF817F5CA9342868C0
Verified (Factored)Eivind TrielF817F5CA9342868C66902
Verified (Factored)2002-02-03Dennis PopeF817F5CA9342868C197190
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-24Oliver Kruse44FAB39DAEED29D11013
Verified2017-10-13Oliver Kruse44FAB39DAEED29D118214513
Verified2017-12-12ATH44FAB39DAEED29D1119131413
Verified2020-04-18Oliver Kruse292442F4806A158F129700553
Verified2024-09-08kkmrkkblmbrbk292442F4806A158F118128353
History
DateUserTypeResult
2024-09-18yuriy_5-1NF-PM1
B1=12000002, B2=1704299857260
2024-09-08Luke DurantCERT
PRP Certification
Proof certified good
2024-09-08kkmrkkblmbrbkC-PRP
M334297/776286699004616614664844151 : 292442F4806A158F
PRP proof power = 5
PRP: Verified
Proof certified good
2024-02-16Denial140NF-PM1
B1=1000000, B2=8866035360
2022-03-07LordJuliusNF
no factor from 2^54 to 2^55
2020-04-18Oliver KruseC-PRP
M334297/776286699004616614664844151 : 292442F4806A158F
PRP: Verified
PRP without proof (small exponent)
2017-12-12ATHC-PRP
M334297/776286699004616614664844151 : 44FAB39DAEED29D1
PRP: Verified
PRP without proof (small exponent)
2017-10-13Oliver KruseC-PRP
M334297/776286699004616614664844151 : 44FAB39DAEED29D1
PRP: Verified
PRP without proof (small exponent)
2017-09-24Oliver KruseC-PRP
M334297/776286699004616614664844151 : 44FAB39DAEED29D1
PRP: Verified
PRP without proof (not generated)
2017-09-22Oliver KruseC-PRP
M334297/776286699004616614664844151 : 44FAB39DAEED29D1
PRP without proof (not generated)
2010-07-12alpertronF-ECM
Factor: 776286699004616614664844151
2009-02-06Sturle SundeNF
no factor from 2^59 to 2^60
2008-12-29Sturle SundeNF
no factor from 2^58 to 2^59