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
2053
Composite, with 1 known prime factor. Cofactor is composite.
Trial Factored to 268
TF target 244
Factored
FactorDigitsBitsDate
399413237903346988384581476757599654656140131.6old
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000009201 / 9201
504400000016550 / 16550
5511000000040830 / 40830
6026000000063577 / 105362
Estimated T-Level: 58.0 ⓘ
TF below 2^188 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusProofDateUserResidueNumber of
known factors		ShiftTypeBase
Verified
No proof (small exponent)
2017-09-21Oliver KruseC4927947F9D3D1A81013
Verified
No proof (small exponent)
2017-10-02kkmrkkblmbrbkC4927947F9D3D1A81013
Verified
No proof (small exponent)
2017-12-07ATHC4927947F9D3D1A8185513
Verified
No proof (small exponent)
2020-04-17Oliver KruseA433627F9B399520177153
Verified
No proof (small exponent)
2022-02-03LordJuliusA433627F9B399520131653
Verified
No proof (small exponent)
2022-11-02LordJuliusA433627F9B399520114453
History
DateUserTypeResult
2025-03-29masserNF-PP1Start=145/61, B1=12500000000, B2=12487500000000
2024-05-13masserNF-PM1B1=100000000000, B2=139765369387944300
2022-11-02LordJuliusC-PRP
M2053/3994132379033469883845814767575996546561 : A433627F9B399520
2022-02-03LordJuliusC-PRP
M2053/3994132379033469883845814767575996546561 : A433627F9B399520
2020-04-17Oliver KruseC-PRP
M2053/3994132379033469883845814767575996546561 : A433627F9B399520
2017-12-07ATHC-PRP
M2053/3994132379033469883845814767575996546561 : C4927947F9D3D1A8
2017-10-02kkmrkkblmbrbkC-PRPM2053/3994132379033469883845814767575996546561 : C4927947F9D3D1A8
2017-09-21Oliver KruseC-PRPM2053/known_factors : C4927947F9D3D1A8
2016-09-08kkmrkkblmbrbkNF-PM1B1=10000000000, B2=500000000000, E=12
2016-09-07kkmrkkblmbrbkNF-PM1B1=500000000, B2=50000000000, E=12
2002-12-25-anonymous-NF-PM1B1=4290000000
2002-10-19Alex KruppaNFno factor TF: 1-57
2002-09-14-anonymous-NF-PM1B1=3221225472, B2=4290000000, E=48
2002-08-03-anonymous-NF-PM1B1=2147483648, B2=4290000000, E=48
2002-05-25-anonymous-NF-PM1B1=1073741824, B2=4290000000
2001-05-20-anonymous-NF-PM1B1=3000000000, B2=4290000000
2001-02-11-anonymous-NF-PM1B1=1000000, B2=100000000
2000-07-25-anonymous-NFno factor TF: 1-56
2000-01-25-anonymous-NFno factor TF: 54-55
1998-09-20-anonymous-NFno factor TF: 50-54