Marin Mersenne 2^P-1
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MnStatusDetails
348889Composite, with 2 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
39530276582816011978802172312891.72019-04-02 01:56:22
216206887836656318689411597372994.12024-06-21 02:16:02
ECM
DigitsB1Curves
2550000280 / 280
30250000429 / 640
Estimated T-Level: 28.4
TF below 2^89 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)David Slowinski1C200
Verified (Factored)Unknown1C200
Verified (Factored)Guillermo Ballester ValorA970BC3EFA709C200
Verified (Factored)Eivind TrielA970BC3EFA709C20235356
Verified (Factored)2002-02-03Dennis PopeA970BC3EFA709C20253415
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified (Factored)2019-04-03matzetoniFDF4948DD9344A0313155953
Verified (Factored)2019-05-03kkmrkkblmbrbkFDF4948DD9344A03131526753
Verified (Factored)2019-06-12camajuFDF4948DD9344A03125604053
Verified2024-06-21q64FDF4948DD9344A03234830153
History
DateUserTypeResult
2024-06-21WayneGCERT
PRP Certification
Proof certified good
2024-06-21q64C-PRP
M348889/3953027658281601197880217231/21620688783665631868941159737 : FDF4948DD9344A03
PRP proof power = 5
PRP: Verified
Proof certified good
2024-06-21q64F-ECM
Factor: 21620688783665631868941159737 / (ECM curve 39, B1=463184, B2=6891809925, Edwards Sigma=5951887277150329)
2022-03-07LordJuliusNF
no factor from 2^54 to 2^55
2019-06-12camajuC-PRP
M348889/3953027658281601197880217231 : FDF4948DD9344A03
PRP: Verified (Factored)
PRP without proof (small exponent)
2019-05-03kkmrkkblmbrbkC-PRP
M348889/3953027658281601197880217231 : FDF4948DD9344A03
PRP: Verified (Factored)
PRP without proof (small exponent)
2019-04-03matzetoniC-PRP
M348889/3953027658281601197880217231 : FDF4948DD9344A03
PRP: Verified (Factored)
PRP without proof (small exponent)
2019-04-02alexF-ECM
Factor: 3953027658281601197880217231 / (ECM curve 43, B1=250000, B2=25000000, Sigma=4623893275560544)
2018-02-16Gordon SpenceNF
no factor from 2^64 to 2^65
2018-02-05BloodERazorNF
no factor from 2^64 to 2^65
2016-11-03mikrNF-PM1
B1=60000000, B2=3000000000, E=12
2015-12-19Gordon SpenceNF
no factor from 2^63 to 2^64
2015-12-19Gordon SpenceNF
no factor from 2^62 to 2^63
2015-07-25NRNF
no factor from 2^61 to 2^62
2012-02-15alpertronNF-PM1
B1=10000000, B2=200000000, E=12
2011-08-14JossNF-PM1
B1=1301312
2010-04-04Architects CubedNF
no factor from 2^60 to 2^61
2009-01-25Sturle SundeNF
no factor from 2^59 to 2^60
2008-12-30Sturle SundeNF
no factor from 2^58 to 2^59