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
212897Factored
FactorDigitsBitsDate
6928997108924096456232169.22007-09-01 05:14:24
167578610095312647516346939525751692137120.32021-05-21 09:28:56
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000217 / 1566
Estimated T-Level: 30.7 ⓘ
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 Kruse5C299A36D91BFC761013
Verified (Factored)2017-10-12kkmrkkblmbrbk5C299A36D91BFC7616908113
Verified (Factored)2020-04-17Oliver Kruse2CE8749FFA6FF2A413814753
Verified2021-05-21Oliver Kruse2CE8749FFA6FF2A4221060153
Verified2023-08-03USAFSS2CE8749FFA6FF2A427760353
P-1 factors
DateFactorB1B2
2021-05-211675786100953126475163469395257516921300000003000000000
History
DateUserTypeResult
2023-08-03curtiscCERT
PRP Certification
Proof certified good
2023-08-03USAFSSC-PRP
M212897/692899710892409645623/1675786100953126475163469395257516921 : 2CE8749FFA6FF2A4
PRP proof power = 5
PRP: Verified
Proof certified good
2022-03-07LordJuliusNF
no factor from 2^54 to 2^55
2022-02-22Oliver KruseNF-PM1
B1=30000000, B2=10070832992220
2021-05-21Ben DeloCERT
PRP Certification
Proof certified good
2021-05-21Oliver KruseC-PRP
M212897/692899710892409645623/1675786100953126475163469395257516921 : 2CE8749FFA6FF2A4
PRP proof power = 5
PRP: Verified
Proof certified good
2021-05-21Oliver KruseF-PM1
Factor: 1675786100953126475163469395257516921 / (P-1, B1=30000000, B2=3000000000)
2020-04-17Oliver KruseC-PRP
M212897/692899710892409645623 : 2CE8749FFA6FF2A4
PRP: Verified (Factored)
PRP without proof (small exponent)
2017-10-12kkmrkkblmbrbkC-PRP
M212897/692899710892409645623 : 5C299A36D91BFC76
PRP: Verified (Factored)
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M212897/692899710892409645623 : 5C299A36D91BFC76
PRP: Verified (Factored)
PRP without proof (not generated)
2017-09-22Oliver KruseC-PRP
M212897/692899710892409645623 : 5C299A36D91BFC76
PRP without proof (not generated)
2007-09-01Team_BunduF-ECM
Factor: 692899710892409645623