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

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Exponent Range:










MnStatusDetails
14327Factored
FactorDigitsBitsDate
314176989000768691715883569168274546846285093746151.12014-12-29 04:21:32
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000003174 / 9201
Estimated T-Level: 41.7
TF below 2^134 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)Unknown778E0
Verified (Factored)George WoltmanFABB5A9CC74A778E0
Verified (Factored)Brian J. BeesleyFABB5A9CC74A778E0
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-21Oliver Kruse3476E1F7F62603DE1013
Verified2017-10-02kkmrkkblmbrbk3476E1F7F62603DE1013
Verified2017-12-07ATH3476E1F7F62603DE1428713
Unverified2020-04-17Oliver Kruse5FC8AC7B74257C__1666053
History
DateUserTypeResult
2024-01-29-Anonymous-NF-PM1
B1=100000000000, B2=122154521813133810
2023-05-24JacobZNF-PM1
B1=7600000000, B2=30020805351537000
2020-04-17Oliver KruseC-PRP
M14327/3141769890007686917158835691682745468462850937 : 5FC8AC7B74257C__
PRP without proof (small exponent)
2017-12-07ATHC-PRP
M14327/3141769890007686917158835691682745468462850937 : 3476E1F7F62603DE
PRP without proof (small exponent)
2017-10-02kkmrkkblmbrbkC-PRP
M14327/3141769890007686917158835691682745468462850937 : 3476E1F7F62603DE
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M14327/3141769890007686917158835691682745468462850937 : 3476E1F7F62603DE
PRP without proof (not generated)
2014-12-29Carsten KossendeyF-ECM
Factor: 3141769890007686917158835691682745468462850937 / (ECM curve 106, B1=11000000, B2=1100000000)
2013-03-18bcp19NF-PM1
B1=10000000000, B2=500000000000, E=12
2012-12-25bcp19NF
no factor from 2^60 to 2^61
2012-10-12JossNF-PM1
B1=607355021
2011-05-18JossNF-PM1
B1=400000000
2010-07-04George WoltmanNF
no factor from 2^59 to 2^60
2010-07-04George WoltmanNF
no factor from 2^58 to 2^59