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
193433Factored
FactorDigitsBitsDate
6189857722.6old
382223609928.52008-07-27 10:50:02
2615913660576083214333717592787.82020-11-03 00:41:01
4577077122316014344560428265193098.52023-12-21 21:18:45
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000267 / 1566
Estimated T-Level: 30.9 ⓘ
TF below 2^97 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified (Factored)2017-09-22Oliver Kruse97235C7B274DF4742013
Verified (Factored)2017-10-12kkmrkkblmbrbk97235C7B274DF47425435813
Verified (Factored)2020-04-17Oliver Kruse068CAB573CF0874229231053
Verified (Factored)2020-11-03mnd9068CAB573CF08742310638553
Verified (Factored)2020-11-06arnaud068CAB573CF087423229853
Verified (Factored)2023-08-24USAFSS068CAB573CF08742315496553
Verified2023-12-21Stef42068CAB573CF0874249445053
History
DateUserTypeResult
2023-12-21curtiscCERT
PRP Certification
Proof certified good
2023-12-21Stef42C-PRP
M193433/6189857/382223609/261591366057608321433371759/457707712231601434456042826519 : 068CAB573CF08742
PRP proof power = 5
PRP: Verified
Proof certified good
2023-12-21Stef42F-ECM
Factor: 457707712231601434456042826519 / (ECM curve 63, B1=924094, B2=2070442920, Edwards Sigma=3253322711425634)
2023-08-24Chun sung sooCERT
PRP Certification
Proof certified good
2023-08-24USAFSSC-PRP
M193433/6189857/382223609/261591366057608321433371759 : 068CAB573CF08742
PRP proof power = 5
PRP: Verified (Factored)
Proof certified good
2020-11-06Ben DeloCERT
PRP Certification
Proof certified good
2020-11-06curtiscCERT
PRP Certification
Proof certified good
2020-11-06arnaudC-PRP
M193433/6189857/382223609/261591366057608321433371759 : 068CAB573CF08742
PRP proof power = 5
PRP: Verified (Factored)
Proof certified good
2020-11-03mnd9C-PRP
M193433/6189857/382223609/261591366057608321433371759 : 068CAB573CF08742
PRP proof power = 5
PRP: Verified (Factored)
Proof certified good
2020-11-03nordiF-ECM
Factor: 261591366057608321433371759 / (ECM curve 3, B1=250000, B2=25000000, Sigma=7720392084898183)
2020-04-17Oliver KruseC-PRP
M193433/6189857/382223609 : 068CAB573CF08742
PRP: Verified (Factored)
PRP without proof (small exponent)
2017-10-12kkmrkkblmbrbkC-PRP
M193433/6189857/382223609 : 97235C7B274DF474
PRP: Verified (Factored)
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M193433/6189857/382223609 : 97235C7B274DF474
PRP: Verified (Factored)
PRP without proof (not generated)
2017-09-22Oliver KruseC-PRP
M193433/6189857/382223609 : 97235C7B274DF474
PRP without proof (not generated)
2017-08-23kkmrkkblmbrbkNF-PM1
B1=100000000, B2=2000000000, E=12
2008-07-27J FeitsmaF
Factor: 382223609