4 009 861 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
352867769	9	28.4	old
58897479945761	14	45.7	2008-09-07 21:14:16
120760645067399	15	46.8	2008-09-07 21:14:16

ECM

Digits	B1	Curves
25	50000	3 / 280

Estimated T-Level: 20.1 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-11-12	Oliver Kruse	FA87C8984946FAEB	3	651968	5	3
Verified	2017-12-20	kkmrkkblmbrbk	FA87C8984946FAEB	3	2077149	5	3

P-1 factors

Date	Factor	B1	B2
2021-04-02	2509771185216739533555614607083809391	91000	3423000

History

Date	User	Type	Result
2023-03-30	USAFSS	NF-PM1	B1=400000, B2=233490810
2021-04-02	Dylan Delgado	F-PM1	Factor: 2509771185216739533555614607083809391 / (P-1, B1=91000, B2=3423000)
2017-12-20	kkmrkkblmbrbk	C-PRP	M4009861/352867769/58897479945761/120760645067399 : FA87C8984946FAEB PRP: Verified PRP without proof (not generated)
2017-11-12	Oliver Kruse	C-PRP	M4009861/352867769/58897479945761/120760645067399 : FA87C8984946FAEB PRP: Verified PRP without proof (not generated)
2008-09-07	Will Edgington	F	Factor: 120760645067399
2008-09-07	Will Edgington	F	Factor: 58897479945761