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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Exponent Range:










MnStatusDetails
282769Composite, with 4 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
6786457722.7old
40718737825.32008-07-21 09:15:51
142515577927.12008-07-21 09:15:51
579794989654699191755.72014-09-05 15:16:27
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000212 / 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 Kruse3BBC5E15015480554013
Verified2017-10-12Oliver Kruse3BBC5E1501548055413075913
Verified2017-11-06kkmrkkblmbrbk3BBC5E1501548055412958113
Verified2020-04-17Oliver KruseDE0969A06F2FC581423686553
Verified2024-08-10kkmrkkblmbrbkDE0969A06F2FC581411986353
History
DateUserTypeResult
2024-11-11yuriy_5-1NF-PM1
B1=26014748, B2=6348019808130
2024-08-10Luke DurantCERT
PRP Certification
Proof certified good
2024-08-10kkmrkkblmbrbkC-PRP
M282769/6786457/40718737/142515577/57979498965469919 : DE0969A06F2FC581
PRP proof power = 5
PRP: Verified
Proof certified good
2023-02-15USAFSSNF-PM1
B1=3500000, B2=18264117300
2022-02-06Lisander ViaeneNF-PM1
B1=50000
2020-04-17Oliver KruseC-PRP
M282769/6786457/40718737/142515577/57979498965469919 : DE0969A06F2FC581
PRP: Verified
PRP without proof (small exponent)
2017-11-06kkmrkkblmbrbkC-PRP
M282769/6786457/40718737/142515577/57979498965469919 : 3BBC5E1501548055
PRP: Verified
PRP without proof (small exponent)
2017-10-12Oliver KruseC-PRP
M282769/6786457/142515577/40718737/57979498965469919 : 3BBC5E1501548055
PRP: Verified
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M282769/known_factors : 3BBC5E1501548055
PRP without proof (not generated)
2014-09-05TJAOIF-ECM
Factor: 57979498965469919
2008-07-21J FeitsmaF
Factor: 40718737
2008-07-21J FeitsmaF
Factor: 142515577