Marin Mersenne 2^P-1
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MnStatusDetails
109253Composite, with 6 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
243646296569656731754.4old
344213633519051111754.92008-09-30 13:17:58
39080342696260937771961.82009-03-05 15:09:19
18815200680787298832810312580.62014-08-04 11:21:48
2551375133895308752413294387193097.72018-11-19 14:38:36
4396815226127348349132309584233098.52024-12-02 17:10:58
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000498 / 1566
Estimated T-Level: 31.6
TF below 2^100 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified (Factored)2017-09-21Oliver KruseBFEC442F28BD49BB4013
Verified (Factored)2017-10-09Chang Chia-TcheBFEC442F28BD49BB4013
Verified (Factored)2017-10-13kkmrkkblmbrbkBFEC442F28BD49BB45622813
Verified (Factored)2018-11-21Oliver Kruse51410815A07D078B51867353
Verified (Factored)2018-11-21kkmrkkblmbrbk51410815A07D078B51271453
Verified (Factored)2018-11-22Ducho_YYZ51410815A07D078B56256053
Verified (Factored)2022-04-15LordJulius51410815A07D078B52712453
Verified (Factored)2022-11-08LordJulius51410815A07D078B56791753
Verified2024-12-02USAFSS51410815A07D078B64977253
History
DateUserTypeResult
2024-12-02LOBESCERT
PRP Certification
Proof certified good
2024-12-02USAFSSC-PRP
M109253/24364629656965673/34421363351905111/3908034269626093777/1881520068078729883281031/255137513389530875241329438719/439681522612734834913230958423 : 51410815A07D078B
PRP proof power = 5
PRP: Verified
Proof certified good
2024-12-02USAFSSF-ECM
Factor: 439681522612734834913230958423 / (ECM curve 33, B1=1327691, B2=7443190755, Edwards Sigma=5904352322462380)
2022-11-08Dry Creek PhotoCERT
PRP Certification
Proof certified good
2022-11-08LordJuliusC-PRP
M109253/24364629656965673/34421363351905111/3908034269626093777/1881520068078729883281031/255137513389530875241329438719 : 51410815A07D078B
PRP proof power = 5
PRP: Verified (Factored)
Proof certified good
2022-05-07LordJuliusNF
no factor from 2^62 to 2^63
2022-05-07LordJuliusNF
no factor from 2^60 to 2^61
2022-05-07LordJuliusNF
no factor from 2^59 to 2^60
2022-05-07LordJuliusNF
no factor from 2^58 to 2^59
2022-05-07LordJuliusNF
no factor from 2^57 to 2^58
2022-04-15LordJuliusC-PRP
M109253/24364629656965673/34421363351905111/3908034269626093777/1881520068078729883281031/255137513389530875241329438719 : 51410815A07D078B
PRP proof power = 5
PRP: Verified (Factored)
PRP proof never uploaded
2018-11-22Ducho_YYZC-PRP
M109253/24364629656965673/34421363351905111/3908034269626093777/1881520068078729883281031/255137513389530875241329438719 : 51410815A07D078B
PRP: Verified (Factored)
PRP without proof (small exponent)
2018-11-21kkmrkkblmbrbkC-PRP
M109253/24364629656965673/34421363351905111/3908034269626093777/1881520068078729883281031/255137513389530875241329438719 : 51410815A07D078B
PRP: Verified (Factored)
PRP without proof (small exponent)
2018-11-21Oliver KruseC-PRP
M109253/24364629656965673/34421363351905111/3908034269626093777/1881520068078729883281031/255137513389530875241329438719 : 51410815A07D078B
PRP: Verified (Factored)
PRP without proof (small exponent)
2018-11-19Niels_Mache_NextcloudF-ECM
Factor: 255137513389530875241329438719 / (ECM curve 2, B1=250000, B2=25000000)
2017-10-13kkmrkkblmbrbkC-PRP
M109253/24364629656965673/34421363351905111/3908034269626093777/1881520068078729883281031 : BFEC442F28BD49BB
PRP: Verified (Factored)
PRP without proof (not generated)
2017-10-09Chang Chia-TcheC-PRP
M109253/known_factors : BFEC442F28BD49BB
PRP: Verified (Factored)
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M109253/known_factors : BFEC442F28BD49BB
PRP without proof (not generated)
2016-12-10kkmrkkblmbrbkNF-PM1
B1=100000000, B2=2000000000, E=12
2014-08-04TJAOIF-ECM
Factor: 1881520068078729883281031
2009-03-05-Anonymous-F-ECM
Factor: 3908034269626093777
2008-09-30markrF
Factor: 34421363351905111