641 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
35897	5	15.1	old
49999	5	15.6	old
1173835097	10	30.1	old
2401258891949526685926151441	28	91.0	old
745276300734440606226386924312213175677903182797334854064486587296999	69	228.8	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	M641/35897/49999/1173835097/2401258891949526685926151441/745276300734440606226386924312213175677903182797334854064486587296999 PRP Cofactor
2001-11-10	-anonymous-	F	Factor: 2106815786691972991
2001-03-11	-anonymous-	F	Factor: 2106815786691972991
1999-04-13	Johnson Lau	F	Factor: 2106815786691972991
1998-06-20	-anonymous-	F	Factor: 2106815786691972991