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

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Exponent Range:










MnStatusDetails
2309Composite, with 3 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
61636447825.9old
908726307249741341663639932686.2old
348791139199100943079308699973136011123011175223685752171.22012-07-22 23:12:02
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000009201 / 9201
504400000016550 / 16550
5511000000040830 / 40830
6026000000060767 / 105362
Estimated T-Level: 57.9
TF below 2^187 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-21Oliver Kruse9C138134D494A2123013
Verified2017-10-02kkmrkkblmbrbk9C138134D494A2123013
Verified2017-12-07ATH9C138134D494A212357213
Verified2020-04-17Oliver Kruse23CF0351B38576B53141853
Verified2024-02-03Wentao Huang23CF0351B38576B5338453
History
DateUserTypeResult
2024-04-20masserNF-PM1
B1=100000000000, B2=129176504808351000
2024-02-03Wentao HuangC-PRP
M2309/61636447/90872630724974134166363993/3487911391991009430793086999731360111230111752236857 : 23CF0351B38576B5
PRP: Verified
PRP without proof (small exponent)
2020-04-17Oliver KruseC-PRP
M2309/61636447/90872630724974134166363993/3487911391991009430793086999731360111230111752236857 : 23CF0351B38576B5
PRP: Verified
PRP without proof (small exponent)
2017-12-07ATHC-PRP
M2309/61636447/90872630724974134166363993/3487911391991009430793086999731360111230111752236857 : 9C138134D494A212
PRP: Verified
PRP without proof (small exponent)
2017-10-02kkmrkkblmbrbkC-PRP
M2309/61636447/90872630724974134166363993/3487911391991009430793086999731360111230111752236857 : 9C138134D494A212
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M2309/known_factors : 9C138134D494A212
PRP without proof (not generated)
2016-09-09kkmrkkblmbrbkNF-PM1
B1=500000000, B2=50000000000, E=12
2012-07-22Michael KennF-ECM
Factor: 3487911391991009430793086999731360111230111752236857