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

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MnStatusDetails
5309Composite, with 1 known prime factor. Cofactor is composite.
Factored
FactorDigitsBitsDate
437962717988097149987758326626261546132238684928149161.62010-02-15 15:03:27
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000009201 / 9201
504400000016550 / 16550
5511000000011750 / 40830
Estimated T-Level: 51.4
TF below 2^166 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)Unknown40EF0
Verified (Factored)George WoltmanA67369308699C0EF0
Verified (Factored)Brian J. BeesleyA67369308699C0EF0
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-21Oliver KruseBEAC324F59015A3B1013
Verified2017-10-02kkmrkkblmbrbkBEAC324F59015A3B1013
Verified2017-12-07ATHBEAC324F59015A3B1292613
Verified2020-04-17Oliver Kruse5D26F74084D84C72155953
Verified2024-02-03Wentao Huang5D26F74084D84C721326853
History
DateUserTypeResult
2024-02-03Wentao HuangC-PRP
M5309/4379627179880971499877583266262615461322386849281 : 5D26F74084D84C72
PRP: Verified
PRP without proof (small exponent)
2023-07-02-Anonymous-NF-PM1
B1=59000000000, B2=241667483419362000
2022-01-24Ethan O'ConnorNF-PM1
B1=1395865000
2020-04-17Oliver KruseC-PRP
M5309/4379627179880971499877583266262615461322386849281 : 5D26F74084D84C72
PRP: Verified
PRP without proof (small exponent)
2017-12-07ATHC-PRP
M5309/4379627179880971499877583266262615461322386849281 : BEAC324F59015A3B
PRP: Verified
PRP without proof (small exponent)
2017-10-02kkmrkkblmbrbkC-PRP
M5309/4379627179880971499877583266262615461322386849281 : BEAC324F59015A3B
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M5309/known_factors : BEAC324F59015A3B
PRP without proof (not generated)
2010-02-15-Anonymous-F-ECM
Factor: 4379627179880971499877583266262615461322386849281