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

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MnStatusDetails
193367Composite, with 1 known prime factor. Cofactor is composite.
Factored
FactorDigitsBitsDate
34608825671031.7old
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000267 / 1566
Estimated T-Level: 30.9
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 KruseE9C113B0DA49BAE41013
Verified2017-10-12kkmrkkblmbrbkE9C113B0DA49BAE4118274513
Verified2020-04-17Oliver Kruse7B81A7A92230E0BC113575053
Verified2023-08-24USAFSS7B81A7A92230E0BC111056353
History
DateUserTypeResult
2023-08-24PoaoCERT
PRP Certification
Proof certified good
2023-08-24USAFSSC-PRP
M193367/3460882567 : 7B81A7A92230E0BC
PRP proof power = 5
PRP: Verified
Proof certified good
2020-04-17Oliver KruseC-PRP
M193367/3460882567 : 7B81A7A92230E0BC
PRP: Verified
PRP without proof (small exponent)
2017-10-12kkmrkkblmbrbkC-PRP
M193367/3460882567 : E9C113B0DA49BAE4
PRP: Verified
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M193367/3460882567 : E9C113B0DA49BAE4
PRP: Verified
PRP without proof (not generated)
2017-09-22Oliver KruseC-PRP
M193367/3460882567 : E9C113B0DA49BAE4
PRP without proof (not generated)
2017-08-23kkmrkkblmbrbkNF-PM1
B1=100000000, B2=2000000000, E=12