653 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
78557207	8	26.2	old
289837969	9	28.1	old
16008527538753578495897	23	73.8	old
3044938125828889184039273431	28	91.3	old
3786707123184812723340717607	28	91.6	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	M653/78557207/289837969/16008527538753578495897/3044938125828889184039273431/3786707123184812723340717607 PRP Cofactor
2001-11-10	-anonymous-	F	Factor: 22768861327192583
2001-09-01	-anonymous-	F	Factor: 22768861327192583
2001-03-11	-anonymous-	F	Factor: 22768861327192583
1999-01-29	-anonymous-	F	Factor: 22768861327192583