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

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MnStatusDetails
2682319Factored
FactorDigitsBitsDate
16836285059077042101192270.52021-02-11 01:15:17
ECM
DigitsB1Curves
255000084 / 280
Estimated T-Level: 21.5
TF below 2^66 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)Dax Prather12615D53902828B80
Verified (Factored)1998-07-11Frank Heirtzler12615D53902828B80
Verified (Factored)1999-05-30Paul R. Burnett12615D53902828B81267192
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2021-02-12xyuzyzB0BD0F1AFA1F106F1136157953
Verified2021-02-13marssystemsB0BD0F1AFA1F106F1253629953
History
DateUserTypeResult
2021-02-13AG_ATHCERT
PRP Certification
Proof certified good
2021-02-13marssystemsC-PRP
M2682319/1683628505907704210119 : B0BD0F1AFA1F106F
PRP proof power = 7
PRP: Verified
Proof certified good
2021-02-12xyuzyzC-PRP
M2682319/1683628505907704210119 : B0BD0F1AFA1F106F
PRP: Verified
PRP without proof (not generated)
2021-02-11MarkSF-ECM
Factor: 1683628505907704210119 / (ECM curve 4, B1=50000, B2=5000000, Sigma=3148133754728653)
2019-11-16masserNF-PM1
B1=2000000, B2=50000000, E=12
2019-05-13TJAOINF
no factor from 2^67 to 2^68
2018-08-06JossNF-PM1
B1=1483333, B2=14833330, E=12
2018-02-20JossNF-PM1
B1=377778
2017-09-13Gordon SpenceNF
no factor from 2^66 to 2^67
2017-03-02JossNF-PM1
B1=314815, B2=3148150, E=6
2016-12-29JossNF-PM1
B1=218622
2016-12-16JossNF-PM1
B1=182185
2016-06-01JossNF-PM1
B1=151821, B2=4567500, E=6
2016-02-23Mark RoseNF
no factor from 2^1 to 2^60
2016-01-25ramgeisNF
no factor from 2^65 to 2^66
2015-02-23VictordeHollanderNF
no factor from 2^64 to 2^65
2015-02-23VictordeHollanderNF
no factor from 2^63 to 2^64
2013-01-14dbaughNF
no factor from 2^62 to 2^63
2012-05-13markrNF
no factor from 2^61 to 2^62
2010-12-05markrNF-PM1
B1=105000, B2=2283750, E=6
2010-11-20JossNF-PM1
B1=20000
2009-01-27Sturle SundeNF
no factor from 2^60 to 2^61