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

PrimeNet Exponent Status

Exponent Range:










MnStatusDetails
346721Factored
FactorDigitsBitsDate
6066813454223470065686300182073098.92022-12-22 16:16:47
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000201 / 1566
Estimated T-Level: 30.6 ⓘ
TF below 2^97 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)David Slowinski321F0
Verified (Factored)Unknown721F0
Verified (Factored)Guillermo Ballester ValorEC0C00FC33D6F21F0
Verified (Factored)Eivind TrielEC0C00FC33D6F21F126565
Verified (Factored)2002-02-03Dennis PopeEC0C00FC33D6F21F94209
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified2022-12-22masserA7F195825DBB7143111512953
History
DateUserTypeResult
2022-12-28masserF-PP1
Start=6/5, B1=20000000, B2=620000000, Factor: 606681345422347006568630018207
2022-12-22masserNF-PP1
Start=95/11, B1=20000000, B2=620000000
2022-12-22tottenhoffCERT
PRP Certification
Proof certified good
2022-12-22masserC-PRP
M346721/606681345422347006568630018207 : A7F195825DBB7143
PRP proof power = 5
PRP: Verified
Proof certified good
2022-12-22masserF-PP1
Start=2/7, B1=20000000, B2=640000000, Factor: 606681345422347006568630018207
2022-07-30Gordon SpenceNF
no factor from 2^67 to 2^68
2022-07-30Gordon SpenceNF
no factor from 2^66 to 2^67
2022-03-07LordJuliusNF
no factor from 2^54 to 2^55
2019-12-02Gordon SpenceNF
no factor from 2^65 to 2^66
2018-02-16Gordon SpenceNF
no factor from 2^64 to 2^65
2016-10-31mikrNF-PM1
B1=60000000, B2=3000000000, E=12
2015-12-18Gordon SpenceNF
no factor from 2^63 to 2^64
2015-12-18Gordon SpenceNF
no factor from 2^62 to 2^63
2015-07-25NRNF
no factor from 2^61 to 2^62
2013-06-26Sid & AndyNF
no factor from 2^60 to 2^61
2010-05-20BudNF-PM1
B1=10000000, B2=200000000, E=12
2009-01-25Sturle SundeNF
no factor from 2^59 to 2^60
2008-12-30Sturle SundeNF
no factor from 2^58 to 2^59