2 586 599 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
7281715906831	13	42.7	old
23711399591783	14	44.4	2008-09-30 14:37:15
409161451920494568689	21	68.5	2019-01-20 07:17:50

ECM

Digits	B1	Curves
25	50000	128 / 280

Estimated T-Level: 22.3 ⓘ

TF below 2^69 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-16	kkmrkkblmbrbk	66DAFFEEAAA689C4	2	97943	5	3
Verified (Factored)	2017-11-12	Oliver Kruse	66DAFFEEAAA689C4	2	803126	5	3
Verified	2019-01-21	rbanov	66DAFFEEAAA689C4	3	1488215	5	3

P-1 factors

Date	Factor	B1	B2
2019-01-20	409161451920494568689	2000000	60000000

History

Date	User	Type	Result
2019-01-21	rbanov	C-PRP	M2586599/7281715906831/23711399591783/409161451920494568689 : 66DAFFEEAAA689C4 PRP: Verified PRP without proof (not generated)
2019-01-20	alpertron	F-PM1	Factor: 409161451920494568689 / (P-1, B1=2000000, B2=60000000, E=12)
2017-11-12	Oliver Kruse	C-PRP	M2586599/7281715906831/23711399591783 : 66DAFFEEAAA689C4 PRP: Verified PRP without proof (not generated)
2017-10-16	kkmrkkblmbrbk	C-PRP	M2586599/7281715906831/23711399591783 : 66DAFFEEAAA689C4 PRP: Verified PRP without proof (not generated)
2008-09-30	markr	F	Factor: 23711399591783