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
5210729Factored
FactorDigitsBitsDate
1443758777520971547.0old
5583608466905483829327612478.92021-08-25 21:10:19
ECM
DigitsB1Curves
255000022 / 280
Estimated T-Level: 20.4
TF below 2^63 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified (Factored)2017-11-23kkmrkkblmbrbk32272F56C4AC1A5A199308653
Verified (Factored)2018-05-27Gabriel Lignelli32272F56C4AC1A5A1393667853
Verified2021-08-25happy521432272F56C4AC1A5A276865153
P-1 factors
DateFactorB1B2
2021-08-255583608466905483829327612500000240000000
History
DateUserTypeResult
2021-08-25Stephan GruppCERT
PRP Certification
Proof certified good
2021-08-25happy5214C-PRP
M5210729/144375877752097/558360846690548382932761 : 32272F56C4AC1A5A
PRP proof power = 7
PRP: Verified
Proof certified good
2021-08-25happy5214F-PP1
Start=2/7, B1=1250000, B2=85000000, Factor: 558360846690548382932761
2021-08-25happy5214F-PM1
Factor: 558360846690548382932761 / (P-1, B1=2500000, B2=240000000)
2018-05-27Gabriel LignelliC-PRP
M5210729/144375877752097 : 32272F56C4AC1A5A
PRP: Verified (Factored)
PRP without proof (not generated)
2017-11-23kkmrkkblmbrbkC-PRP
M5210729/144375877752097 : 32272F56C4AC1A5A
PRP: Verified (Factored)
PRP without proof (not generated)