Marin Mersenne 2^P-1
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Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

Exponent Range:










MnStatusDetails
298213Factored
FactorDigitsBitsDate
15524624459896940733422077044733435171360942136.82022-12-24 08:51:56
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000160 / 1566
Estimated T-Level: 30.5 ⓘ
TF below 2^96 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)David Slowinski36A20
Verified (Factored)Unknown36A20
Verified (Factored)Guillermo Ballester Valor7EF0FCFFA881B6A20
Verified (Factored)Eivind Triel7EF0FCFFA881B6A221458
Verified (Factored)2001-11-24Eugene Gogol'7EF0FCFFA881B6A2198256
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified2022-12-25LordJuliusE4141F5EBEFEE824119016453
Verified2022-12-25LordJuliusE4141F5EBEFEE824115937953
P-1 factors
DateFactorB1B2
2022-12-241552462445989694073342207704473343517136092040000002090260342170
History
DateUserTypeResult
2022-12-25PerigCERT
PRP Certification
Proof certified good
2022-12-25LordJuliusC-PRP
M298213/155246244598969407334220770447334351713609 : E4141F5EBEFEE824
PRP proof power = 5
PRP: Verified
Proof certified good
2022-12-25LordJuliusC-PRP
M298213/155246244598969407334220770447334351713609 : E4141F5EBEFEE824
PRP proof power = 5
PRP: Verified
Proof certified good
2022-12-24Sid & AndyF-PM1
Factor: 155246244598969407334220770447334351713609 / (P-1, B1=204000000, B2=2090260342170)
2022-12-01Gordon SpenceNF
no factor from 2^67 to 2^68
2022-11-10LordJuliusNF
no factor from 2^66 to 2^67
2022-03-07LordJuliusNF
no factor from 2^54 to 2^55
2022-02-11lycornNF-PM1
B1=12000000, B2=507673516350
2019-05-28Gordon SpenceNF
no factor from 2^65 to 2^66
2018-03-05BloodERazorNF
no factor from 2^64 to 2^65
2016-01-03Gordon SpenceNF
no factor from 2^63 to 2^64
2016-01-03Gordon SpenceNF
no factor from 2^62 to 2^63
2015-08-13NRNF
no factor from 2^61 to 2^62
2013-06-11lycornNF
no factor from 2^60 to 2^61
2012-08-19markrNF-PM1
B1=12000000, B2=500000000, E=12
2011-08-01JossNF-PM1
B1=1594993
2009-01-25Sturle SundeNF
no factor from 2^59 to 2^60
2009-01-03Sturle SundeNF
no factor from 2^58 to 2^59