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:










MnStatusDetails
7823Composite, with 3 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
15647513.9old
353703802360011445.0old
5338676462064690648651144111573111408738125.3old
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000009201 / 9201
50440000002301 / 16550
Estimated T-Level: 45.7
TF below 2^147 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-21Oliver Kruse14635597F32DCFE03013
Verified2017-10-02kkmrkkblmbrbk14635597F32DCFE03013
Verified2017-12-07ATH14635597F32DCFE03354313
Verified2020-04-17Oliver Kruse1529AD8030894C393537553
Verified (Factored)2022-05-12Jorge Coveiro1529AD8030894C391628653
Verified2024-02-03Wentao Huang1529AD8030894C393460953
History
DateUserTypeResult
2024-12-11yuriy5-1NF-PM1
B1=24000000000, B2=93848103835646160
2024-02-03Wentao HuangC-PRP
M7823/15647/35370380236001/53386764620646906486511441115731114087 : 1529AD8030894C39
PRP: Verified
PRP without proof (small exponent)
2022-05-12Jorge CoveiroC-PRP
M7823/15647 : 1529AD8030894C39
PRP: Verified
PRP without proof (small exponent)
2021-07-09ViliamFNF-PM1
B1=1000000000, B2=201000000000
2020-04-17Oliver KruseC-PRP
M7823/15647/35370380236001/53386764620646906486511441115731114087 : 1529AD8030894C39
PRP: Verified
PRP without proof (small exponent)
2017-12-07ATHC-PRP
M7823/15647/35370380236001/53386764620646906486511441115731114087 : 14635597F32DCFE0
PRP: Verified
PRP without proof (small exponent)
2017-10-02kkmrkkblmbrbkC-PRP
M7823/15647/35370380236001/53386764620646906486511441115731114087 : 14635597F32DCFE0
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M7823/known_factors : 14635597F32DCFE0
PRP without proof (not generated)