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
4027
Composite, with 3 known prime factors. Cofactor is composite.
Trial Factored to 268
TF target 244
Factored
FactorDigitsBitsDate
8218576260233863807535740755696731335116.0old
132260380788878421381488309522249241608103011475149159.92020-10-01 12:04:10
5507355802842098193173697781527788441697371144314660225941054251965215.12021-04-19 16:57:52
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000009201 / 9201
504400000016550 / 16550
5511000000019288 / 40830
Estimated T-Level: 52.4 ⓘ
TF below 2^169 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusProofDateUserResidueNumber of
known factors		ShiftTypeBase
Factored
No proof (small exponent)
2017-09-21Oliver KruseC88D2D68CF5533691013
Factored
No proof (small exponent)
2017-10-12kkmrkkblmbrbkC88D2D68CF553369184213
Factored
No proof (small exponent)
2020-04-17Oliver Kruse872B4531B1C5209A1188953
Factored
No proof (small exponent)
2020-10-01mnd9872B4531B1C5209A2318653
Factored
No proof (small exponent)
2020-10-02LordJulius872B4531B1C5209A2221253
Verified
No proof (small exponent)
2021-04-19mnd9872B4531B1C5209A3344453
Verified
No proof (small exponent)
2021-04-20XZT872B4531B1C5209A3188253
History
DateUserTypeResult
2025-05-09masserNF-PP1Start=118/67, B1=2600000000, B2=2597400000000
2023-05-16-anonymous-NF-PM1B1=81000000000, B2=812832933743280450
2021-04-20XZTC-PRPM4027/82185762602338638075357407556967313/1322603807888784213814883095222492416081030114751/55073558028420981931736977815277884416973711443146602259410542519 : 872B4531B1C5209A
2021-04-19mnd9C-PRPM4027/82185762602338638075357407556967313/1322603807888784213814883095222492416081030114751/55073558028420981931736977815277884416973711443146602259410542519 : 872B4531B1C5209A
2021-04-19Ryan PropperF-ECMFactor: 55073558028420981931736977815277884416973711443146602259410542519
2020-10-02LordJuliusC-PRPM4027/82185762602338638075357407556967313/1322603807888784213814883095222492416081030114751 : 872B4531B1C5209A
2020-10-01mnd9C-PRPM4027/82185762602338638075357407556967313/1322603807888784213814883095222492416081030114751 : 872B4531B1C5209A
2020-10-01Ryan PropperF-ECMFactor: 1322603807888784213814883095222492416081030114751
2020-04-17Oliver KruseC-PRPM4027/82185762602338638075357407556967313 : 872B4531B1C5209A
2017-10-12kkmrkkblmbrbkC-PRPM4027/82185762602338638075357407556967313 : C88D2D68CF553369
2017-09-21Oliver KruseC-PRPM4027/82185762602338638075357407556967313 : C88D2D68CF553369
2017-09-21Oliver KruseC-PRPM4027/82185762602338638075357407556967313 : C88D2D68CF553369
2003-01-25-anonymous-NFno factor TF: 1-57
2003-01-01-anonymous-NF-PM1B1=4290000000
2002-09-22-anonymous-NF-PM1B1=3221225472, B2=4290000000, E=48
2002-08-03-anonymous-NF-PM1B1=2147483648, B2=4290000000, E=48
2002-06-02-anonymous-NF-PM1B1=1073741824, B2=4290000000, E=48
2001-06-23-anonymous-NF-PM1B1=3000000000, B2=4290000000
2001-06-09-anonymous-NF-PM1B1=43000000, B2=4290000000
2001-02-11-anonymous-NF-PM1B1=1000000, B2=100000000
2000-08-24-anonymous-NFno factor TF: 1-56
2000-02-09-anonymous-NFno factor TF: 54-55
1999-12-23-anonymous-NFno factor TF: 53-54
1999-09-22-anonymous-NFno factor TF: 52-53