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:





MnDetails
2319787
Composite: 5 known prime factors
Trial Factored to 268
TF target 262
Factored
FactorDigitsBitsDate
9862583152899131549.8old
21868744697856731651.02014-06-12 11:44:39
4033429962109139303734092478.42025-12-18 11:15:50
68055396265727811468891192582.52025-12-18 11:15:50
70908717997072456646801272582.62023-06-05 05:09:44
ECM
DigitsB1Curves
2550000280 / 280
30250000123 / 640
Estimated T-Level: 26.0 ⓘ
TF below 2^81 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusProofDateUserResidueNumber of
known factors		ShiftTypeBase
Factored
PRP without proof (not generated)
2017-10-11Oliver Kruse2D4C5BD789DD55472013
Factored
PRP without proof (not generated)
2017-11-23storm55102D4C5BD789DD55472106134113
Factored
Certified Good
2023-06-05JacobZ0DB1B82D8624AFF8313993353
History
DateUserTypeResult
2025-12-18TJAOIF-ECMFactor: 6805539626572781146889119 / ECM curve 28, B1=250000, B2=264647565, Edwards Sigma=4031564475864576
2025-12-18TJAOIF-ECMFactor: 403342996210913930373409 / ECM curve 15, B1=250000, B2=264647565, Edwards Sigma=8741479368562681
2023-06-05FlyingEagleCERT
Proof certified good
2023-06-05JacobZC-PRPM2319787/986258315289913/2186874469785673/7090871799707245664680127 : 0DB1B82D8624AFF8
Proof Certified Good

Proof Power: 7

2023-06-05JacobZF-ECMFactor: 7090871799707245664680127 / ECM curve 45, B1=50000, B2=38910690, Montgomery Sigma=6224033826205413
2021-04-24ViliamFNF-PM1B1=5000000, B2=500000000
2018-02-28alpertronNF-PM1B1=500000, B2=15000000, E=12
2017-11-23storm5510C-PRPM2319787/986258315289913/2186874469785673 : 2D4C5BD789DD5547
2017-10-11Oliver KruseC-PRPM2319787/986258315289913/2186874469785673 : 2D4C5BD789DD5547
2014-06-12TJAOIFFactor: 2186874469785673