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

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MnStatusDetails
322039Composite, with 3 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
2797189540125787731361565532787.92024-07-28 17:32:41
974267594099226866365455164172996.32018-09-13 05:11:31
1925876886556460831830675071913097.32023-05-31 04:07:12
ECM
DigitsB1Curves
2550000280 / 280
30250000514 / 640
Estimated T-Level: 29.0 ⓘ
TF below 2^91 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)David Slowinski375B0
Verified (Factored)Unknown375B0
Verified (Factored)Guillermo Ballester Valor0A0F5B487710375B0
Verified (Factored)Eivind Triel0A0F5B487710375B163704
Verified (Factored)2002-01-15Dennis Pope0A0F5B487710375B185026
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified (Factored)2018-09-14ANONYMOUSB46881A321880F9E122014853
Verified (Factored)2018-09-19Oliver KruseB46881A321880F9E127131853
Verified (Factored)2023-05-31JacobZB46881A321880F9E2150253
Verified2024-07-28Oliver KruseB46881A321880F9E313246553
History
DateUserTypeResult
2024-07-29LOBESCERT
PRP Certification
Proof certified good
2024-07-28Oliver KruseC-PRP
M322039/97426759409922686636545516417/192587688655646083183067507191/279718954012578773136156553 : B46881A321880F9E
PRP proof power = 5
PRP: Verified
Proof certified good
2024-07-28Oliver KruseF-ECM
Factor: 279718954012578773136156553 / (ECM curve 48, B1=558867, B2=1026982110, Edwards Sigma=3076317270895503)
2023-05-31heiopeiCERT
PRP Certification
Proof certified good
2023-05-31JacobZC-PRP
M322039/97426759409922686636545516417/192587688655646083183067507191 : B46881A321880F9E
PRP proof power = 5
PRP: Verified (Factored)
Proof certified good
2023-05-31JacobZF-ECM
Factor: 192587688655646083183067507191 / (ECM curve 41, B1=250000, B2=367537170, Sigma=271847919670251)
2022-03-07LordJuliusNF
no factor from 2^54 to 2^55
2018-09-19Oliver KruseC-PRP
M322039/97426759409922686636545516417 : B46881A321880F9E
PRP: Verified (Factored)
PRP without proof (small exponent)
2018-09-14ANONYMOUSC-PRP
M322039/97426759409922686636545516417 : B46881A321880F9E
PRP: Verified (Factored)
PRP without proof (small exponent)
2018-09-13lettpF-ECM
Factor: 97426759409922686636545516417 / (ECM curve 3, B1=250000, B2=25000000)
2018-01-28BloodERazorNF
no factor from 2^64 to 2^65
2016-06-21mikrNF-PM1
B1=60000000, B2=3000000000, E=12
2015-12-09Gordon SpenceNF
no factor from 2^63 to 2^64
2015-12-09Gordon SpenceNF
no factor from 2^62 to 2^63
2015-07-22NRNF
no factor from 2^61 to 2^62
2012-04-27David CampeauNF
no factor from 2^60 to 2^61
2012-01-17alpertronNF-PM1
B1=10000000, B2=200000000, E=12
2011-08-06JossNF-PM1
B1=1443696
2009-01-25Sturle SundeNF
no factor from 2^59 to 2^60
2008-12-31Sturle SundeNF
no factor from 2^58 to 2^59