Marin Mersenne 2^P-1
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GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

Exponent Range:





MnDetails
3209
Composite, with 3 known prime factors. Cofactor is composite.
Trial Factored to 268
TF target 244
Factored
FactorDigitsBitsDate
3146614217042711548.2old
10120248958435853587205596769975933106.3old
78928082125432375180571555299172455964306066782822929323957189.02020-08-02 15:06:01
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000009201 / 9201
504400000016550 / 16550
5511000000015128 / 40830
Estimated T-Level: 51.9 ⓘ
TF below 2^167 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 Kruse16FB6F5E5CB507AD2013
Factored
No proof (small exponent)
2017-10-02kkmrkkblmbrbk16FB6F5E5CB507AD2013
Factored
No proof (small exponent)
2017-12-07ATH16FB6F5E5CB507AD2195513
Factored
No proof (small exponent)
2020-04-17Oliver KruseA055EEDB2809C59E2128953
Verified
No proof (small exponent)
2020-08-02James HeinrichA055EEDB2809C59E3132953
Verified
No proof (small exponent)
2020-08-03xyuzyzA055EEDB2809C59E3145853
Verified
No proof (small exponent)
2025-10-06DobriA055EEDB2809C59E3131253
History
DateUserTypeResult
2025-10-06DobriC-PRPM3209/314661421704271/101202489584358535872055967699759/789280821254323751805715552991724559643060667828229293239 : A055EEDB2809C59E
2025-04-26masserNF-PP1Start=189/43, B1=3100000000, B2=3096900000000
2022-04-14mikrNF-PM1B1=70000000000, B2=367004699921960100
2021-07-09ViliamFNF-PM1B1=1000000000, B2=191000000000
2020-08-03xyuzyzC-PRPM3209/314661421704271/101202489584358535872055967699759/789280821254323751805715552991724559643060667828229293239 : A055EEDB2809C59E
2020-08-02James HeinrichC-PRPM3209/314661421704271/101202489584358535872055967699759/789280821254323751805715552991724559643060667828229293239 : A055EEDB2809C59E
2020-08-02Ryan PropperF-ECMFactor: 789280821254323751805715552991724559643060667828229293239
2020-04-17Oliver KruseC-PRPM3209/314661421704271/101202489584358535872055967699759 : A055EEDB2809C59E
2017-12-07ATHC-PRPM3209/314661421704271/101202489584358535872055967699759 : 16FB6F5E5CB507AD
2017-10-02kkmrkkblmbrbkC-PRPM3209/314661421704271/101202489584358535872055967699759 : 16FB6F5E5CB507AD
2017-09-21Oliver KruseC-PRPM3209/known_factors : 16FB6F5E5CB507AD