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

PrimeNet Exponent Status

Exponent Range:










MnStatusDetails
311153Composite, with 1 known prime factor. Cofactor is composite.
Factored
FactorDigitsBitsDate
1852580061162189188712167.32008-11-20 14:25:51
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000173 / 1566
Estimated T-Level: 30.6
TF below 2^96 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)David Slowinski1F340
Verified (Factored)Unknown1F340
Verified (Factored)Klaus KastensB92615F1E4CD1F340
Verified (Factored)Eivind TrielB92615F1E4CD1F34225932
Verified (Factored)2001-12-22Dennis PopeB92615F1E4CD1F34298664
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-22Oliver KruseE1D631D50BD2264F1013
Verified2017-10-12Oliver KruseE1D631D50BD2264F130410713
Verified2017-12-11ATHE1D631D50BD2264F121324113
Verified2020-04-18Oliver Kruse558A3223DD5616E115671153
Verified2024-08-27kkmrkkblmbrbk558A3223DD5616E115395153
History
DateUserTypeResult
2024-09-12yuriy_5-1NF-PM1
B1=12000002, B2=1704299857260
2024-08-28Luke DurantCERT
PRP Certification
Proof certified good
2024-08-27kkmrkkblmbrbkC-PRP
M311153/185258006116218918871 : 558A3223DD5616E1
PRP proof power = 5
PRP: Verified
Proof certified good
2023-03-22Denial140NF-PM1
B1=1000000, B2=65871826020
2022-03-07LordJuliusNF
no factor from 2^54 to 2^55
2020-04-18Oliver KruseC-PRP
M311153/185258006116218918871 : 558A3223DD5616E1
PRP: Verified
PRP without proof (small exponent)
2017-12-11ATHC-PRP
M311153/185258006116218918871 : E1D631D50BD2264F
PRP: Verified
PRP without proof (small exponent)
2017-10-12Oliver KruseC-PRP
M311153/185258006116218918871 : E1D631D50BD2264F
PRP: Verified
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M311153/185258006116218918871 : E1D631D50BD2264F
PRP: Verified
PRP without proof (not generated)
2017-09-22Oliver KruseC-PRP
M311153/185258006116218918871 : E1D631D50BD2264F
PRP without proof (not generated)
2008-11-20GrunwalderGIMPF-PM1
Factor: 185258006116218918871