Marin Mersenne 2^P-1
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GIMPS
Finding World Record Primes Since 1996

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MnStatusDetails
3114109Factored
FactorDigitsBitsDate
36530377607148085139772271.62020-09-24 02:37:36
ECM
DigitsB1Curves
255000033 / 280
Estimated T-Level: 20.6
TF below 2^63 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)Joel Armengaud5A8EC7A713E267080
Verified (Factored)1999-05-16Goede Schueler/Christoph Steinbeck5A8EC7A713E26708280602
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2020-09-26Klaus NordmannA1AC53F8BEEC156F1134566853
Verified2020-11-11Oliver KruseA1AC53F8BEEC156F115449553
History
DateUserTypeResult
2022-01-06JossNF-PM1
B1=1000000, B2=116447100
2021-02-18JossNF
no factor from 2^66 to 2^67
2021-01-16JossNF-PM1
B1=860000, B2=3114109, E=6
2021-01-16JossNF
no factor from 2^65 to 2^66
2020-11-11ky0urakuCERT
PRP Certification
Proof certified good
2020-11-11Oliver KruseC-PRP
M3114109/3653037760714808513977 : A1AC53F8BEEC156F
PRP proof power = 7
PRP: Verified
Proof certified good
2020-09-26Klaus NordmannC-PRP
M3114109/3653037760714808513977 : A1AC53F8BEEC156F
PRP proof power = 7
PRP: Verified
PRP proof never uploaded
2020-09-24mnd9F-ECM
Factor: 3653037760714808513977 / (ECM curve 8, B1=50000, B2=5000000, Sigma=5415765288764192)
2019-01-28TJAOINF
no factor from 2^67 to 2^68
2018-09-27mikrNF-PM1
B1=3000000, B2=100000000, E=12
2018-07-16JossNF-PM1
B1=830000, B2=3320000, E=6
2018-07-15JossNF-PM1
B1=830000, B2=2490000, E=6
2017-04-14Gordon SpenceNF
no factor from 2^66 to 2^67
2016-10-02JossNF-PM1
B1=105000, B2=2551500, E=6
2016-09-28Squeeky_SquirrelNF-PM1
B1=195000, B2=5508750, E=12
2015-06-11ThaNF
no factor from 2^65 to 2^66
2015-02-07VictordeHollanderNF
no factor from 2^64 to 2^65
2015-02-07VictordeHollanderNF
no factor from 2^63 to 2^64
2013-01-07dbaughNF
no factor from 2^62 to 2^63
2011-11-22Grant McCrackenNF
no factor from 2^61 to 2^62
2011-08-25Squeeky_SquirrelNF-PM1
B1=105000, B2=2126250, E=6
2009-07-03Carsten KossendeyNF-PM1
B1=15000, B2=180000
2009-04-14S485122NF
no factor from 2^60 to 2^61