4 386 719 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
8773439	7	23.1	old
1697978573774425547104482431	28	90.5	2023-05-16 09:44:08

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	48878BF35B9A111A	1	0	1	3
Verified (Factored)	2018-02-08	Oliver Kruse	48878BF35B9A111A	1	2241773	1	3
Verified	2023-05-16	Stef42	D05C2C9FFFF4F1BE	2	2005426	5	3

P-1 factors

Date	Factor	B1	B2
2023-05-16	1697978573774425547104482431	5000000	5000000

History

Date	User	Type	Result
2023-05-16	USAFSS	NF-PM1	B1=448000, B2=300999270
2023-05-16	mattashii	CERT	PRP Certification Proof certified good
2023-05-16	Stef42	C-PRP	M4386719/8773439/1697978573774425547104482431 : D05C2C9FFFF4F1BE PRP proof power = 7 PRP: Verified Proof certified good
2023-05-16	Stef42	F-PM1	Factor: 1697978573774425547104482431 / (P-1, B1=5000000)
2018-02-08	Oliver Kruse	C-PRP	M4386719/8773439 : 48878BF35B9A111A PRP: Verified (Factored) PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M4386719/8773439 : 48878BF35B9A111A PRP: Verified (Factored) PRP without proof (not generated)