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

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Exponent Range:










MnStatusDetails
318137Composite, with 3 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
4453919722.1old
9544111723.22008-07-21 09:16:38
123623985134631443.52008-07-21 09:16:38
ECM
DigitsB1Curves
2550000280 / 280
30250000483 / 640
Estimated T-Level: 28.8
TF below 2^91 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-24Oliver KruseB8EFB0A9D63D75863013
Verified2017-10-13Oliver KruseB8EFB0A9D63D758635740413
Verified2017-12-11ATHB8EFB0A9D63D7586330525213
Verified2020-04-18Oliver KruseEDA1AA197D4ED129314566253
Verified2024-08-31kkmrkkblmbrbkEDA1AA197D4ED129318158953
History
DateUserTypeResult
2024-08-31Eric AdamsCERT
PRP Certification
Proof certified good
2024-08-31kkmrkkblmbrbkC-PRP
M318137/4453919/9544111/12362398513463 : EDA1AA197D4ED129
PRP proof power = 5
PRP: Verified
Proof certified good
2021-05-24George WoltmanNF-PP1
Start=2/7, B1=7500000, B2=592500000
2021-05-24George WoltmanNF-PM1
B1=15000000, B2=1305000000
2020-04-18Oliver KruseC-PRP
M318137/4453919/9544111/12362398513463 : EDA1AA197D4ED129
PRP: Verified
PRP without proof (small exponent)
2017-12-11ATHC-PRP
M318137/4453919/9544111/12362398513463 : B8EFB0A9D63D7586
PRP: Verified
PRP without proof (small exponent)
2017-10-13Oliver KruseC-PRP
M318137/4453919/12362398513463/9544111 : B8EFB0A9D63D7586
PRP: Verified
PRP without proof (small exponent)
2017-09-24Oliver KruseC-PRP
M318137/4453919/12362398513463/9544111 : B8EFB0A9D63D7586
PRP: Verified
PRP without proof (not generated)
2017-09-22Oliver KruseC-PRP
M318137/4453919/12362398513463/9544111 : B8EFB0A9D63D7586
PRP without proof (not generated)
2008-07-21J FeitsmaF
Factor: 9544111
2008-07-21J FeitsmaF
Factor: 12362398513463