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

PrimeNet Exponent Status

Exponent Range:










MnStatusDetails
592121Factored
FactorDigitsBitsDate
213691274135147121418350712684.12009-07-07 20:42:19
ECM
DigitsB1Curves
2550000280 / 280
30250000210 / 640
Estimated T-Level: 26.6
TF below 2^83 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)David Slowinski2E0E0
Verified (Factored)Charles F. Kerchner III6F9364CAE4952E0E0
Verified (Factored)Klaus Kastens6F9364CAE4952E0E175790
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-27Oliver KruseE1D2FABC866703B51013
Verified2017-09-28Oliver KruseE1D2FABC866703B51013
Verified2017-11-08kkmrkkblmbrbkE1D2FABC866703B5154935113
Unverified (Reliable)2020-04-19Oliver Kruse0373813C509287__136885553
History
DateUserTypeResult
2022-12-31USAFSSNF-PM1
B1=1750000, B2=5399784390
2022-03-07LordJuliusNF
no factor from 2^54 to 2^55
2020-04-19Oliver KruseC-PRP
M592121/21369127413514712141835071 : 0373813C509287__
PRP: Unverified (Reliable)
PRP without proof (small exponent)
2017-11-08kkmrkkblmbrbkC-PRP
M592121/21369127413514712141835071 : E1D2FABC866703B5
PRP: Unverified (Reliable)
PRP without proof (small exponent)
2017-09-28Oliver KruseC-PRP
M592121/21369127413514712141835071 : E1D2FABC866703B5
PRP: Unverified (Reliable)
PRP without proof (not generated)
2017-09-27Oliver KruseC-PRP
M592121/21369127413514712141835071 : E1D2FABC866703B5
PRP: Unverified (Reliable)
PRP without proof (not generated)
2009-07-07lindedF-ECM
Factor: 21369127413514712141835071