Marin Mersenne 2^P-1
Username
Password
Forgot password?
Blue
Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

Exponent Range:










MnStatusDetails
278051Composite, with 2 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
556103619.1old
313390359271002885112064.82014-09-05 15:16:36
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000223 / 1566
Estimated T-Level: 30.7
TF below 2^97 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-22Oliver KruseF57B6E27988161712013
Verified2017-10-12Oliver KruseF57B6E2798816171212219413
Verified2017-11-06kkmrkkblmbrbkF57B6E2798816171217588413
Verified2020-04-17Oliver KruseBAF95E83687DF8A9222345653
Verified (Factored)2022-05-12Jorge CoveiroBAF95E83687DF8A9111585053
Verified2024-07-04kkmrkkblmbrbkBAF95E83687DF8A9214523753
History
DateUserTypeResult
2024-11-05yuriy_5-1NF-PM1
B1=25580692, B2=6253273236210
2024-07-04Jon PaceCERT
PRP Certification
Proof certified good
2024-07-04kkmrkkblmbrbkC-PRP
M278051/31339035927100288511/556103 : BAF95E83687DF8A9
PRP proof power = 5
PRP: Verified
Proof certified good
2023-03-19Naegi MakotoNF-PM1
B1=2000000, B2=79396947630
2022-05-12Jorge CoveiroC-PRP
M278051/556103 : BAF95E83687DF8A9
PRP proof power = 5
PRP: Verified (Factored)
PRP proof never uploaded
2022-01-03Lisander ViaeneNF-PM1
B1=100000
2020-04-17Oliver KruseC-PRP
M278051/556103/31339035927100288511 : BAF95E83687DF8A9
PRP: Verified
PRP without proof (small exponent)
2017-11-06kkmrkkblmbrbkC-PRP
M278051/556103/31339035927100288511 : F57B6E2798816171
PRP: Verified
PRP without proof (small exponent)
2017-10-12Oliver KruseC-PRP
M278051/556103/31339035927100288511 : F57B6E2798816171
PRP: Verified
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M278051/556103/31339035927100288511 : F57B6E2798816171
PRP: Verified
PRP without proof (not generated)
2017-09-22Oliver KruseC-PRP
M278051/556103/31339035927100288511 : F57B6E2798816171
PRP without proof (not generated)
2014-09-05TJAOIF-ECM
Factor: 31339035927100288511