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
5214289Factored
FactorDigitsBitsDate
18667154631030.8old
159765814971133.92008-09-08 01:29:08
4138025579207260338312168.52022-01-26 10:58:35
4689395913429535004332168.72022-01-26 10:58:35
ECM
DigitsB1Curves
255000018 / 280
Estimated T-Level: 20.3 ⓘ
TF below 2^63 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified (Factored)2017-11-24Oliver KruseF7E126B9AD3B4A3E2259745753
Verified (Factored)2018-01-24kkmrkkblmbrbkF7E126B9AD3B4A3E2470479853
Verified2022-01-27happy5214F7E126B9AD3B4A3E4498745953
P-1 factors
DateFactorB1B2
2022-01-2646893959134295350043325000006555248700
2022-01-2641380255792072603383125000006555248700
History
DateUserTypeResult
2022-01-27dirkswansonCERT
PRP Certification
Proof certified good
2022-01-27happy5214C-PRP
M5214289/1866715463/15976581497/468939591342953500433/413802557920726033831 : F7E126B9AD3B4A3E
PRP proof power = 7
PRP: Verified
Proof certified good
2022-01-26happy5214F-PP1
Start=2/7, B1=1250000, B2=46250000, Factor: 413802557920726033831
2022-01-26happy5214F-PM1
Factor: 194048402408014112454803526544134231148823 / (P-1, B1=2500000, B2=6555248700)
2018-01-24kkmrkkblmbrbkC-PRP
M5214289/1866715463/15976581497 : F7E126B9AD3B4A3E
PRP: Verified (Factored)
PRP without proof (not generated)
2017-11-24Oliver KruseC-PRP
M5214289/1866715463/15976581497 : F7E126B9AD3B4A3E
PRP: Verified (Factored)
PRP without proof (not generated)
2008-09-08Will EdgingtonF
Factor: 15976581497