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
12721Composite, with 3 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
3388955814411238.3old
21707965180491341.02008-08-26 19:58:38
545717381259144073464747108113101734112.12010-01-04 00:03:08
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000001972 / 9201
Estimated T-Level: 41.1
TF below 2^131 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-21Oliver KruseEA09BE563F0CDE1B3013
Verified2017-10-02kkmrkkblmbrbkEA09BE563F0CDE1B3013
Verified2017-12-07ATHEA09BE563F0CDE1B31119213
Verified2020-04-17Oliver Kruse50C4CDD02C1C88553447153
Verified2023-05-24reclux50C4CDD02C1C88553834653
History
DateUserTypeResult
2023-05-24recluxC-PRP
M12721/338895581441/2170796518049/5457173812591440734647471081131017 : 50C4CDD02C1C8855
PRP: Verified
PRP without proof (small exponent)
2023-05-24-Anonymous-NF-PM1
B1=100000000000, B2=120417199046794650
2023-05-14JacobZNF-PM1
B1=8700000000, B2=36024966470342850
2022-02-05JossNF-PM1
B1=1000000, B2=3910366209750
2020-04-17Oliver KruseC-PRP
M12721/338895581441/2170796518049/5457173812591440734647471081131017 : 50C4CDD02C1C8855
PRP: Verified
PRP without proof (small exponent)
2017-12-07ATHC-PRP
M12721/338895581441/2170796518049/5457173812591440734647471081131017 : EA09BE563F0CDE1B
PRP: Verified
PRP without proof (small exponent)
2017-10-02kkmrkkblmbrbkC-PRP
M12721/338895581441/2170796518049/5457173812591440734647471081131017 : EA09BE563F0CDE1B
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M12721/338895581441/2170796518049/5457173812591440734647471081131017 : EA09BE563F0CDE1B
PRP without proof (not generated)
2010-01-04Never Odd Or EvenF-ECM
Factor: 5457173812591440734647471081131017
2008-08-26-Anonymous-F
Factor: 2170796518049