Marin Mersenne 2^P-1
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Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

Exponent Range:










MnStatusDetails
3451873Factored
FactorDigitsBitsDate
344635000331135.0old
6866286089955679756904828475893871668359941135.72022-01-24 20:13:29
ECM
DigitsB1Curves
25500003 / 280
Estimated T-Level: 20.1
TF below 2^62 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified (Factored)2017-11-06Oliver KruseD9D5EFD96DE3B485171584053
Verified (Factored)2017-12-16kkmrkkblmbrbkD9D5EFD96DE3B4851144892153
Verified2022-01-30Oliver KruseD9D5EFD96DE3B485225644953
P-1 factors
DateFactorB1B2
2022-01-24686628608995567975690482847589387166835991000000114656850
History
DateUserTypeResult
2022-07-17JossNF-PM1
B1=3451873, B2=3499673100
2022-03-26JossNF-PM1
B1=1000000, B2=1032842580
2022-01-30GregCERT
PRP Certification
Proof certified good
2022-01-30Oliver KruseC-PRP
M3451873/34463500033/68662860899556797569048284758938716683599 : D9D5EFD96DE3B485
PRP proof power = 7
PRP: Verified
Proof certified good
2022-01-24JossF-PM1
Factor: 68662860899556797569048284758938716683599 / (P-1, B1=1000000, B2=114656850)
2021-03-17JossNF
no factor from 2^67 to 2^68
2021-03-17JossNF-PM1
B1=345187, B2=3451873, E=6
2021-02-28JossNF
no factor from 2^66 to 2^67
2021-02-27JossNF
no factor from 2^65 to 2^66
2017-12-16kkmrkkblmbrbkC-PRP
M3451873/34463500033 : D9D5EFD96DE3B485
PRP: Verified (Factored)
PRP without proof (not generated)
2017-11-06Oliver KruseC-PRP
M3451873/34463500033 : D9D5EFD96DE3B485
PRP: Verified (Factored)
PRP without proof (not generated)