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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Exponent Range:










MnStatusDetails
30313Composite, with 3 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
43105087825.4old
58438613931032.42008-08-26 19:59:23
17684051741865025819779410005104133107.12022-10-17 08:30:38
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000002728 / 4588
Estimated T-Level: 38.0
TF below 2^121 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified (Factored)2017-09-21Oliver Kruse74626E3119DD39512013
Verified (Factored)2017-10-12kkmrkkblmbrbk74626E3119DD395122458813
Verified (Factored)2020-04-17Oliver Kruse5DA0E278B1EEFDF021475153
Verified2022-10-17nordi5DA0E278B1EEFDF032181153
P-1 factors
DateFactorB1B2
2022-10-171768405174186502581977941000510413000000000920287779501090
History
DateUserTypeResult
2024-12-25masserNF-PP1
Start=6/5, B1=80000000, B2=79920000000
2024-12-24masserNF-PP1
Start=122/17, B1=80000000, B2=79920000000
2024-12-08masserNF-PP1
Start=2/7, B1=80000000, B2=79920000000
2022-10-17nordiC-PRP
M30313/43105087/5843861393/176840517418650258197794100051041 : 5DA0E278B1EEFDF0
PRP: Verified
PRP without proof (small exponent)
2022-10-17nordiF-PM1
Factor: 176840517418650258197794100051041 / (P-1, B1=3000000000, B2=920287779501090)
2022-09-26nordiNF-PM1
B1=3000000000
2020-04-17Oliver KruseC-PRP
M30313/43105087/5843861393 : 5DA0E278B1EEFDF0
PRP: Verified
PRP without proof (small exponent)
2017-10-12kkmrkkblmbrbkC-PRP
M30313/43105087/5843861393 : 74626E3119DD3951
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M30313/43105087/5843861393 : 74626E3119DD3951
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M30313/43105087/5843861393 : 74626E3119DD3951
PRP without proof (not generated)
2016-10-06kkmrkkblmbrbkNF-PM1
B1=200000000, B2=5000000000, E=12
2008-08-26-Anonymous-F
Factor: 5843861393