773 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 5 known prime factors. Cofactor is PRP (Probable-Prime).

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
6864241	7	22.7	old
9461521	7	23.2	old
1165626988664823792549971253972697	34	109.8	old
101625278121114813541046756104385520302531369	45	146.2	old
3102804258869848876949115800490112967822146918598407	52	171.1	old

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	No proof (small exponent)	2024-09-06	George Woltman	PRP_PRP_PRP_PRP_	5	0	1	3

History

Date	User	Type	Result
2024-09-06	George Woltman	P-PRP	M773/6864241/9461521/1165626988664823792549971253972697/101625278121114813541046756104385520302531369/3102804258869848876949115800490112967822146918598407 PRP Cofactor
2001-11-10	-anonymous-	F	Factor: 64946160370561
2001-04-01	ANONYMOUS	F	Factor: 64946160370561
2001-03-17	-anonymous-	F	Factor: 64946160370561
2000-08-01	-anonymous-	F	Factor: 64946160370561
1999-06-15	-anonymous-	F	Factor: 64946160370561