4 191 919 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
902547030900791	15	49.7	old
1021194512050318343227319	25	79.8	2023-03-04 02:30:42

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	4BE88627C2888933	1	0	1	3
Verified (Factored)	2018-01-18	Oliver Kruse	4BE88627C2888933	1	2084683	1	3
Verified	2023-03-09	rucio	482CF626165E97DD	2	96582	5	3

P-1 factors

Date	Factor	B1	B2
2023-03-04	1021194512050318343227319	224000	119776800

History

Date	User	Type	Result
2023-03-09	Brian Cudiamat - uhyeahwhatever	CERT	PRP Certification Proof certified good
2023-03-09	rucio	C-PRP	M4191919/902547030900791/1021194512050318343227319 : 482CF626165E97DD PRP proof power = 7 PRP: Verified Proof certified good
2023-03-04	USAFSS	F-PM1	Factor: 1021194512050318343227319 / (P-1, B1=224000, B2=119776800)
2018-01-18	Oliver Kruse	C-PRP	M4191919/902547030900791 : 4BE88627C2888933 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M4191919/902547030900791 : 4BE88627C2888933 PRP: Verified (Factored) PRP without proof (not generated)