Marin Mersenne 2^P-1
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Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

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MnStatusDetails
5000311Factored
FactorDigitsBitsDate
50003111825.6old
19913201913247303543912270.82023-04-11 22:48:10
ECM
DigitsB1Curves
25500003 / 280
Estimated T-Level: 20.1 ⓘ
TF below 2^62 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified (Factored)2017-11-21kkmrkkblmbrbkE4381FD27C40E60A1483444653
Verified (Factored)2018-04-25Oliver KruseE4381FD27C40E60A1225747753
Verified2023-04-17xyuzyzE4381FD27C40E60A2220861653
P-1 factors
DateFactorB1B2
2023-04-111991320191324730354391330000172595280
History
DateUserTypeResult
2023-10-20Lisander ViaeneNF-PM1
B1=1500000, B2=3045809130
2023-05-11This -Anonymous-NF-PM1
B1=50000, B2=1000000, E=6
2023-04-17curtiscCERT
PRP Certification
Proof certified good
2023-04-17xyuzyzC-PRP
M5000311/50003111/1991320191324730354391 : E4381FD27C40E60A
PRP proof power = 7
PRP: Verified
Proof certified good
2023-04-11Kevin_9611F-PM1
Factor: 1991320191324730354391 / (P-1, B1=330000, B2=172595280)
2022-12-08LordJuliusNF
no factor from 2^67 to 2^68
2022-12-08LordJuliusNF
no factor from 2^66 to 2^67
2022-12-08LordJuliusNF
no factor from 2^65 to 2^66
2022-12-08LordJuliusNF
no factor from 2^64 to 2^65
2022-12-08LordJuliusNF
no factor from 2^63 to 2^64
2018-04-25Oliver KruseC-PRP
M5000311/50003111 : E4381FD27C40E60A
PRP: Verified (Factored)
PRP without proof (not generated)
2017-11-21kkmrkkblmbrbkC-PRP
M5000311/50003111 : E4381FD27C40E60A
PRP: Verified (Factored)
PRP without proof (not generated)
2017-07-01alpertronNF-PM1
B1=10000, B2=200000