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:





MnDetails
10909
Composite, with 3 known prime factors. Cofactor is composite.
Trial Factored to 268
TF target 244
Factored
FactorDigitsBitsDate
84600659441659660264312272.8old
147045459915634319386206492683.62008-08-29 02:24:26
3639919450091889519124370813584738047279141134.72019-04-18 23:23:44
P-1 factors
DateFactorsB1B2
2022-12-29No new factors discovered100000000000122192573512709696
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000009201 / 9201
50440000002373 / 16550
Estimated T-Level: 45.7 ⓘ
TF below 2^147 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusProofDateUserResidueNumber of
known factors		ShiftTypeBase
Factored
No proof (small exponent)
2017-09-21Oliver KruseCCB3BA01E2AE44802013
Factored
No proof (small exponent)
2017-10-02kkmrkkblmbrbkCCB3BA01E2AE44802013
Factored
No proof (small exponent)
2017-10-12kkmrkkblmbrbkCCB3BA01E2AE44802589213
Verified
No proof (small exponent)
2019-04-18ATH5CF0C91F157BC69331070453
Verified
No proof (small exponent)
2019-04-19marssystems5CF0C91F157BC6933556253
History
DateUserTypeResult
2025-02-23masserNF-PP1Start=199/67, B1=640000000, B2=639360000000
2025-02-15masserNF-PP1Start=6/5, B1=640000000, B2=639360000000
2025-01-26masserNF-PP1Start=2/7, B1=640000000, B2=639360000000
2022-12-29-anonymous-F-PM1Factor: 8460065944165966026431 / B1=100000000000, B2=122192573512709700
2019-04-19marssystemsC-PRPM10909/8460065944165966026431/14704545991563431938620649/36399194500918895191243708135847380472791 : 5CF0C91F157BC693
2019-04-18ATHC-PRPM10909/8460065944165966026431/14704545991563431938620649/36399194500918895191243708135847380472791 : 5CF0C91F157BC693
2019-04-18alexF-ECMFactor: 36399194500918895191243708135847380472791 / ECM curve 2818, B1=3000000, B2=300000000, Montgomery Sigma=68699221570912
2017-10-12kkmrkkblmbrbkC-PRPM10909/8460065944165966026431/14704545991563431938620649 : CCB3BA01E2AE4480
2017-10-02kkmrkkblmbrbkC-PRPM10909/8460065944165966026431/14704545991563431938620649 : CCB3BA01E2AE4480
2017-09-21Oliver KruseC-PRPM10909/8460065944165966026431/14704545991563431938620649 : CCB3BA01E2AE4480
2016-09-07kkmrkkblmbrbkNF-PM1B1=100000000, B2=10000000000, E=12
2008-08-29-anonymous-F-ECMFactor: 14704545991563431938620649