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

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MnStatusDetails
5657Composite, with 2 known prime factors. Cofactor is PRP (Probable-Prime).
Factored
FactorDigitsBitsDate
218122607927.7old
3217938336134050035818512020193138002486281003166005316568959194.42024-02-02 19:18:09
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000009201 / 9201
50440000005385 / 16550
Estimated T-Level: 46.6
TF below 2^150 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified (Factored)2017-09-21Oliver Kruse68CD12EA37C972BF1013
Verified (Factored)2017-10-12kkmrkkblmbrbk68CD12EA37C972BF1547013
Verified (Factored)2020-04-17Oliver KruseEE2D3A5945630D5B1398353
Verified2024-02-02Anton TsvetkovPRP_PRP_PRP_PRP_2355413
Verified2024-02-03DobriPRP_PRP_PRP_PRP_2131013
History
DateUserTypeResult
2024-02-03DobriP-PRP
M5657/218122607/32179383361340500358185120201931380024862810031660053165689 is a probable prime.
2024-02-02Anton TsvetkovP-PRP
M5657/218122607/32179383361340500358185120201931380024862810031660053165689 is a probable prime.
2024-02-02Ryan PropperF-ECM
Factor: 32179383361340500358185120201931380024862810031660053165689 / (ECM curve 13, B1=260000000, B2=7300371108030, Edwards Sigma=4418081174298538)
2023-07-16-Anonymous-NF-PM1
B1=44000000000, B2=181125525847266000
2022-01-24Ethan O'ConnorNF-PM1
B1=1300000000
2021-12-17Oliver KruseNF-PM1
B1=1000000000, B2=1002106985940060
2021-12-14Lisander ViaeneNF-PM1
B1=1000000, B2=57609844101810
2020-04-17Oliver KruseC-PRP
M5657/218122607 : EE2D3A5945630D5B
PRP: Verified
PRP without proof (small exponent)
2017-10-12kkmrkkblmbrbkC-PRP
M5657/218122607 : 68CD12EA37C972BF
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M5657/218122607 : 68CD12EA37C972BF
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M5657/218122607 : 68CD12EA37C972BF
PRP without proof (not generated)