4 379 003 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
8758007	7	23.1	old
1882739914391812882380137	25	80.6	2023-05-16 10:10:31

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 (Factored)	2017-09-20	kkmrkkblmbrbk	A6C31F8800E125B6	1	0	1	3
Verified (Factored)	2018-02-07	Luigi Morelli	A6C31F8800E125B6	1	1707113	1	3
Verified	2023-05-16	Stef42	0BCE5475949D3E15	2	3646163	5	3

P-1 factors

Date	Factor	B1	B2
2023-05-16	1882739914391812882380137	5000000	85369734450

History

Date	User	Type	Result
2023-05-16	WeakForceBoson	CERT	PRP Certification Proof certified good
2023-05-16	Stef42	C-PRP	M4379003/8758007/1882739914391812882380137 : 0BCE5475949D3E15 PRP proof power = 7 PRP: Verified Proof certified good
2023-05-16	Stef42	F-PM1	Factor: 1882739914391812882380137 / (P-1, B1=5000000, B2=85369734450)
2018-02-07	Luigi Morelli	C-PRP	M4379003/8758007 : A6C31F8800E125B6 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M4379003/8758007 : A6C31F8800E125B6 PRP: Verified (Factored) PRP without proof (not generated)