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
251809Factored
FactorDigitsBitsDate
249290911927.9old
15047026370951190547284090472890.32021-08-31 01:25:01
ECM
DigitsB1Curves
2550000280 / 280
30250000449 / 640
Estimated T-Level: 28.5 ⓘ
TF below 2^90 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified (Factored)2017-09-22Oliver KruseB940FEFB26038FD01013
Verified (Factored)2017-10-12Oliver KruseB940FEFB26038FD012581213
Verified (Factored)2017-11-06kkmrkkblmbrbkB940FEFB26038FD0111200013
Verified (Factored)2020-04-17Oliver KruseA0876CD650D0791C16747353
Verified2021-08-31H MichaelsonA0876CD650D0791C222726153
History
DateUserTypeResult
2022-04-21Oliver KruseNF-PM1
B1=30000000, B2=10120247026890
2021-08-31chuenkitCERT
PRP Certification
Proof certified good
2021-08-31H MichaelsonC-PRP
M251809/249290911/1504702637095119054728409047 : A0876CD650D0791C
PRP proof power = 5
PRP: Verified
Proof certified good
2021-08-31MarkSF-ECM
Factor: 1504702637095119054728409047 / (ECM curve 5, B1=250000, B2=25000000, Sigma=7720807881802678)
2021-08-21Oliver KruseNF-PM1
B1=30000000, B2=3000000000, E=24
2021-06-01ViliamFNF-PM1
B1=50000000, B2=7150000000
2020-04-17Oliver KruseC-PRP
M251809/249290911 : A0876CD650D0791C
PRP: Verified (Factored)
PRP without proof (small exponent)
2017-11-06kkmrkkblmbrbkC-PRP
M251809/249290911 : B940FEFB26038FD0
PRP: Verified (Factored)
PRP without proof (small exponent)
2017-10-12Oliver KruseC-PRP
M251809/249290911 : B940FEFB26038FD0
PRP: Verified (Factored)
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M251809/249290911 : B940FEFB26038FD0
PRP: Verified (Factored)
PRP without proof (not generated)
2017-09-22Oliver KruseC-PRP
M251809/249290911 : B940FEFB26038FD0
PRP without proof (not generated)