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

PrimeNet Exponent Status

Exponent Range:










MnStatusDetails
107827Composite, with 5 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
23290633824.5old
406292137928.62008-07-26 09:17:06
229062237306131931754.32009-03-05 15:09:19
2915505160748582914947532477.92014-04-17 18:59:17
31654721067308482388666872581.42014-05-15 06:26:08
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000552 / 1566
Estimated T-Level: 31.8 ⓘ
TF below 2^101 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified2017-09-21Oliver KruseD6CD090283EDFECD5013
Verified2017-09-22Oliver KruseD6CD090283EDFECD5013
Verified2017-11-06kkmrkkblmbrbkD6CD090283EDFECD58668113
Verified2020-04-17Oliver KruseD9C4CDCDB7D68B6951622353
Verified2022-04-15LordJuliusD9C4CDCDB7D68B6953154453
Verified2022-11-02LordJuliusD9C4CDCDB7D68B6958229253
History
DateUserTypeResult
2022-11-02curtiscCERT
PRP Certification
Proof certified good
2022-11-02LordJuliusC-PRP
M107827/23290633/406292137/22906223730613193/291550516074858291494753/3165472106730848238866687 : D9C4CDCDB7D68B69
PRP proof power = 5
PRP: Verified
Proof certified good
2022-05-06LordJuliusNF
no factor from 2^62 to 2^63
2022-05-06LordJuliusNF
no factor from 2^61 to 2^62
2022-05-06LordJuliusNF
no factor from 2^60 to 2^61
2022-05-06LordJuliusNF
no factor from 2^59 to 2^60
2022-05-06LordJuliusNF
no factor from 2^58 to 2^59
2022-05-06LordJuliusNF
no factor from 2^57 to 2^58
2022-04-15LordJuliusC-PRP
M107827/23290633/406292137/22906223730613193/291550516074858291494753/3165472106730848238866687 : D9C4CDCDB7D68B69
PRP proof power = 5
PRP: Verified
PRP proof never uploaded
2020-04-17Oliver KruseC-PRP
M107827/23290633/406292137/22906223730613193/291550516074858291494753/3165472106730848238866687 : D9C4CDCDB7D68B69
PRP: Verified
PRP without proof (small exponent)
2017-11-06kkmrkkblmbrbkC-PRP
M107827/23290633/406292137/22906223730613193/291550516074858291494753/3165472106730848238866687 : D6CD090283EDFECD
PRP: Verified
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M107827/23290633/406292137/22906223730613193/291550516074858291494753/3165472106730848238866687 : D6CD090283EDFECD
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M107827/23290633/406292137/22906223730613193/291550516074858291494753/3165472106730848238866687 : D6CD090283EDFECD
PRP without proof (not generated)
2016-11-30kkmrkkblmbrbkNF-PM1
B1=100000000, B2=2000000000, E=12
2014-05-15TJAOIF-ECM
Factor: 3165472106730848238866687
2014-04-17TJAOIF-ECM
Factor: 291550516074858291494753
2009-03-05-Anonymous-F
Factor: 22906223730613193
2008-07-26J FeitsmaF
Factor: 406292137