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
1305307Factored
FactorDigitsBitsDate
77864969352007713831962.82009-10-31 01:58:23
ECM
DigitsB1Curves
2550000280 / 280
30250000105 / 640
Estimated T-Level: 25.8 ⓘ
TF below 2^81 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)Lyle Ramshaw584B5B1A2186B0640
Verified (Factored)Cornelius Caesar584B5B1A2186B0640
Verified (Factored)Brian J. Beesley584B5B1A2186B064615697
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified2017-09-30Oliver Kruse21AE21BFCCD5584D1013
Verified2017-10-22kkmrkkblmbrbk21AE21BFCCD5584D151061613
History
DateUserTypeResult
2022-03-07LordJuliusNF
no factor from 2^58 to 2^60
2017-10-22kkmrkkblmbrbkC-PRP
M1305307/7786496935200771383 : 21AE21BFCCD5584D
PRP: Verified
PRP without proof (not generated)
2017-09-30Oliver KruseC-PRP
M1305307/7786496935200771383 : 21AE21BFCCD5584D
PRP: Verified
PRP without proof (not generated)
2016-03-17alpertronNF-PM1
B1=500000, B2=15000000, E=12
2009-10-31SubPrimeF-ECM
Factor: 7786496935200771383
2009-02-16Sturle SundeNF
no factor from 2^60 to 2^61