Marin Mersenne 2^P-1
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MnStatusDetails
3438157Composite, with 1 known prime factor. Cofactor is composite.
Factored
FactorDigitsBitsDate
673720058380358532102712375.82014-09-17 07:22:34
ECM
DigitsB1Curves
25500006 / 280
Estimated T-Level: 20.1 ⓘ
TF below 2^62 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)1998-09-06Joel ArmengaudE546E06CC1C5455F0
Verified (Factored)1999-07-04Karsten KroschelE546E06CC1C5455F2548242
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified2017-11-06kkmrkkblmbrbk421F443E305766C11236587453
Verified2017-11-22Oliver Kruse421F443E305766C11340976953
P-1 factors
DateFactorB1B2
2014-09-176737200583803585321027150000010000000
History
DateUserTypeResult
2022-05-11LordJuliusNF
no factor from 2^66 to 2^67
2022-05-11LordJuliusNF
no factor from 2^65 to 2^66
2022-05-11LordJuliusNF
no factor from 2^64 to 2^65
2022-05-11LordJuliusNF
no factor from 2^63 to 2^64
2022-05-11LordJuliusNF
no factor from 2^62 to 2^63
2022-05-11LordJuliusNF
no factor from 2^1 to 2^62
2022-01-22JossNF-PM1
B1=1000000, B2=114656850
2021-12-22JossNF
no factor from 2^68 to 2^69
2021-06-10JossNF
no factor from 2^67 to 2^68
2021-03-16JossNF
no factor from 2^65 to 2^66
2021-03-16JossNF-PM1
B1=343815, B2=3781972, E=6
2017-11-22Oliver KruseC-PRP
M3438157/67372005838035853210271 : 421F443E305766C1
PRP: Verified
PRP without proof (not generated)
2017-11-06kkmrkkblmbrbkC-PRP
M3438157/67372005838035853210271 : 421F443E305766C1
PRP: Verified
PRP without proof (not generated)
2014-09-17HBendtzF-PM1
Factor: 67372005838035853210271 / (P-1, B1=500000, B2=10000000, E=12)
2014-07-18JossNF-PM1
B1=78668
2012-08-18GrunwalderGIMPNF
no factor from 2^1 to 2^63
2011-11-02USAFSSNF-PM1
B1=60000, B2=945000, E=6
2011-08-02markrNF
no factor from 2^61 to 2^62
2009-08-15Carsten KossendeyNF-PM1
B1=15000, B2=210000
2009-03-23S485122NF
no factor from 2^60 to 2^61