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
524287Composite, with 6 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
62914441825.9old
57469918734071342.4old
21067345511020732026339224712890.8old
8242715796028771145087141500393099.4old
6599700408701598995612372040716932105.72011-10-03 20:10:07
456588037692281076840668346784111410268940131.72023-12-06 20:54:16
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000001589 / 9201
Estimated T-Level: 40.9 ⓘ
TF below 2^131 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified (Factored)2017-09-28Oliver Kruse8396498CCC4DFC565013
Verified (Factored)2017-10-13Oliver Kruse8396498CCC4DFC56531847713
Verified (Factored)2017-12-17ATH8396498CCC4DFC56520311413
Verified (Factored)2020-04-19Oliver KruseBEEC3B5D999E957D53599453
Verified2023-12-06Anton TsvetkovBEEC3B5D999E957D642101653
P-1 factors
DateFactorB1B2
2022-01-306291444110000000001000000000
2022-05-126291444114000000001400000000
History
DateUserTypeResult
2024-02-22Jorge CoveiroNF-PM1
B1=10000000000, B2=28749570980130
2024-02-15Jorge CoveiroNF-PM1
B1=1000000000, B2=7840790958000
2023-12-06StockmeyerCERT
PRP Certification
Proof certified good
2023-12-06Anton TsvetkovC-PRP
M524287/62914441/5746991873407/2106734551102073202633922471/824271579602877114508714150039/65997004087015989956123720407169/4565880376922810768406683467841114102689 : BEEC3B5D999E957D
PRP proof power = 6
PRP: Verified
Proof certified good
2023-12-06philmooreF-ECM
Factor: 4565880376922810768406683467841114102689
2022-05-12Jorge CoveiroF-PM1
Factor: 361568781146944170487 / (P-1, B1=1400000000)
2022-01-30Jorge CoveiroF-PM1
Factor: 361568781146944170487 / (P-1, B1=1000000000)
2021-07-23happy5214NF-PP1
Start=2/7, B1=110000000, B2=8910000000
2021-07-22happy5214NF-PM1
B1=220000000, B2=17160000000
2020-04-19Oliver KruseC-PRP
M524287/62914441/5746991873407/2106734551102073202633922471/824271579602877114508714150039/65997004087015989956123720407169 : BEEC3B5D999E957D
PRP: Verified (Factored)
PRP without proof (small exponent)
2017-12-17ATHC-PRP
M524287/62914441/5746991873407/2106734551102073202633922471/824271579602877114508714150039/65997004087015989956123720407169 : 8396498CCC4DFC56
PRP: Verified (Factored)
PRP without proof (small exponent)
2017-10-13Oliver KruseC-PRP
M524287/62914441/5746991873407/2106734551102073202633922471/824271579602877114508714150039/65997004087015989956123720407169 : 8396498CCC4DFC56
PRP: Verified (Factored)
PRP without proof (small exponent)
2017-09-28Oliver KruseC-PRP
M524287/62914441/5746991873407/2106734551102073202633922471/824271579602877114508714150039/65997004087015989956123720407169 : 8396498CCC4DFC56
PRP: Verified (Factored)
PRP without proof (not generated)
2017-09-27Oliver KruseC-PRP
M524287/62914441/5746991873407/2106734551102073202633922471/824271579602877114508714150039/65997004087015989956123720407169 : 8396498CCC4DFC56
PRP without proof (not generated)
2016-03-17alpertronNF-PM1
B1=1500000, B2=50000000, E=12
2011-10-03philmooreF-ECM
Factor: 65997004087015989956123720407169