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

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MnStatusDetails
16381Composite, with 1 known prime factor. Cofactor is composite.
Factored
FactorDigitsBitsDate
811489984032677953367991527647028995012658567946152.52023-06-22 11:31:30
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000009201 / 9201
50440000002665 / 16550
Estimated T-Level: 45.8
TF below 2^147 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)Unknown0BD30
Verified (Factored)George Woltman025005C687C28BD30
Verified (Factored)Brian J. Beesley025005C687C28BD30
Verified (Factored)2015-04-11MadPoo025005C687C28BD31792
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2023-06-24Ryan Propper968B3F50C96F9FA81774253
Verified2023-06-28XZT968B3F50C96F9FA811098453
History
DateUserTypeResult
2023-10-23-Anonymous-NF-PM1
B1=1000000000000, B2=1402034650733706990
2023-06-28XZTC-PRP
M16381/8114899840326779533679915276470289950126585679 : 968B3F50C96F9FA8
PRP: Verified
PRP without proof (small exponent)
2023-06-24Ryan PropperC-PRP
M16381/8114899840326779533679915276470289950126585679 : 968B3F50C96F9FA8
PRP: Verified
PRP without proof (small exponent)
2023-06-22Ryan PropperF-ECM
Factor: 8114899840326779533679915276470289950126585679 / (ECM curve 1, B1=110000000, B2=782274029472, Sigma=10731555849252977220)
2022-04-06-Anonymous-NF-PM1
B1=100000000000, B2=100013732677278420
2022-01-14Ruslan BorisovNF
no factor from 2^65 to 2^66
2021-05-09ATHNF-PP1
Start=2/7, B1=1000000000, B2=241000000000
2021-03-02Anton RepkoNF
no factor from 2^64 to 2^65
2021-02-10Ruslan BorisovNF
no factor from 2^64 to 2^65
2018-10-19snme2pm1NF
no factor from 2^63 to 2^64
2018-08-11James HintzNF-PM1
B1=22179914002, B2=1663493550150, E=12
2016-06-04Sid & AndyNF
no factor from 2^62 to 2^63
2016-03-02c10ck3rNF-PM1
B1=10000000000, B2=100000000000, E=12
2016-02-23LaurVNF
no factor from 2^57 to 2^58
2015-08-13snme2pm1NF
no factor from 2^61 to 2^62
2015-04-11MadPooC-LL
025005C687C28BD3
2012-12-25bcp19NF
no factor from 2^60 to 2^61
2012-10-12JossNF-PM1
B1=503481383, B2=50348138300, E=12
2010-06-27George WoltmanNF
no factor from 2^59 to 2^60
2010-06-27George WoltmanNF
no factor from 2^58 to 2^59