4 348 559 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
347884721	9	28.4	old
1382615326259037720077903	25	80.2	2023-04-19 07:34:56

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	1DBB685B6B97C6C0	1	0	1	3
Verified (Factored)	2018-02-02	trebor	1DBB685B6B97C6C0	1	418791	1	3
Verified	2023-04-23	USAFSS	D9FE2ED55426EA46	2	3495958	5	3

P-1 factors

Date	Factor	B1	B2
2023-04-19	1382615326259037720077903	448000	251346810

History

Date	User	Type	Result
2023-04-23	curtisc	CERT	PRP Certification Proof certified good
2023-04-23	USAFSS	C-PRP	M4348559/347884721/1382615326259037720077903 : D9FE2ED55426EA46 PRP proof power = 7 PRP: Verified Proof certified good
2023-04-19	USAFSS	F-PM1	Factor: 1382615326259037720077903 / (P-1, B1=448000, B2=251346810)
2018-02-02	trebor	C-PRP	M4348559/347884721 : 1DBB685B6B97C6C0 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M4348559/347884721 : 1DBB685B6B97C6C0 PRP: Verified (Factored) PRP without proof (not generated)