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
22651Composite, with 1 known prime factor. Cofactor is composite.
Factored
FactorDigitsBitsDate
169250879018643607030771604487561768137120.32009-02-25 17:18:05
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000001390 / 9201
Estimated T-Level: 40.8
TF below 2^130 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)Unknown69660
Verified (Factored)George WoltmanDEC34B16FA44E9660
Verified (Factored)Brian J. BeesleyDEC34B16FA44E9660
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-21Oliver Kruse4CBC04A958D935F31013
Verified2017-10-12kkmrkkblmbrbk4CBC04A958D935F311184313
Verified2020-04-17Oliver Kruse75EEBA38DBDF45F21967853
Verified2024-07-01kkmrkkblmbrbk75EEBA38DBDF45F211123653
History
DateUserTypeResult
2025-02-04masserNF-PP1
Start=6/5, B1=190000000, B2=189810000000
2025-01-16masserNF-PP1
Start=145/67, B1=190000000, B2=189810000000
2025-01-10masserNF-PP1
Start=2/7, B1=190000000, B2=189810000000
2024-07-01kkmrkkblmbrbkC-PRP
M22651/1692508790186436070307716044875617681 : 75EEBA38DBDF45F2
PRP: Verified
PRP without proof (small exponent)
2023-12-26nordiNF-PM1
B1=8000000000, B2=2408138284051500
2023-04-14nordiNF-PM1
B1=8000000000
2022-05-07LordJuliusNF
no factor from 2^57 to 2^58
2020-04-17Oliver KruseC-PRP
M22651/1692508790186436070307716044875617681 : 75EEBA38DBDF45F2
PRP: Verified
PRP without proof (small exponent)
2017-10-12kkmrkkblmbrbkC-PRP
M22651/1692508790186436070307716044875617681 : 4CBC04A958D935F3
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M22651/1692508790186436070307716044875617681 : 4CBC04A958D935F3
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M22651/1692508790186436070307716044875617681 : 4CBC04A958D935F3
PRP without proof (not generated)
2016-11-22kkmrkkblmbrbkNF-PM1
B1=500000000, B2=10000000000, E=12
2009-02-25GrunwalderGIMPF-ECM
Factor: 1692508790186436070307716044875617681
2009-02-24Sturle SundeNF
no factor from 2^59 to 2^60
2009-01-19Sturle SundeNF
no factor from 2^58 to 2^59