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
538751Factored
FactorDigitsBitsDate
75476170494731342.8old
40821190742863768631961.82015-06-19 10:51:00
561786583441304512703300077028699114761740132.02021-08-07 16:49:26
ECM
DigitsB1Curves
2550000280 / 280
30250000200 / 640
Estimated T-Level: 26.6 ⓘ
TF below 2^83 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified (Factored)2017-09-27Oliver Kruse853161E06F33EA092013
Verified (Factored)2017-09-28Oliver Kruse853161E06F33EA092013
Verified (Factored)2017-11-07kkmrkkblmbrbk853161E06F33EA09228331013
Verified (Factored)2020-04-19Oliver Kruse55050D07A221E09A240279453
Verified2021-08-07ViliamF55050D07A221E09A314152153
P-1 factors
DateFactorB1B2
2021-08-075617865834413045127033000770286991147617100000001110000000
History
DateUserTypeResult
2021-08-07curtiscCERT
PRP Certification
Proof certified good
2021-08-07ViliamFC-PRP
M538751/7547617049473/4082119074286376863/5617865834413045127033000770286991147617 : 55050D07A221E09A
PRP proof power = 6
PRP: Verified
Proof certified good
2021-08-07ViliamFF-PM1
Factor: 5617865834413045127033000770286991147617 / (P-1, B1=10000000, B2=1110000000)
2020-04-19Oliver KruseC-PRP
M538751/7547617049473/4082119074286376863 : 55050D07A221E09A
PRP: Verified (Factored)
PRP without proof (small exponent)
2017-11-07kkmrkkblmbrbkC-PRP
M538751/7547617049473/4082119074286376863 : 853161E06F33EA09
PRP: Verified (Factored)
PRP without proof (small exponent)
2017-09-28Oliver KruseC-PRP
M538751/7547617049473/4082119074286376863 : 853161E06F33EA09
PRP: Verified (Factored)
PRP without proof (not generated)
2017-09-27Oliver KruseC-PRP
M538751/7547617049473/4082119074286376863 : 853161E06F33EA09
PRP: Verified (Factored)
PRP without proof (not generated)
2016-03-16alpertronNF-PM1
B1=1500000, B2=50000000, E=12
2015-06-19TJAOIF-ECM
Factor: 4082119074286376863 / (ECM curve 4, B1=50000, B2=5000000)