953 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
343081	6	18.4	old
562070136841	12	39.0	old
40496650491842199555367	23	75.1	old
824501439026637805612489876810823	33	109.3	old
210604142476977747806569755290105170291449495120790656457721	60	197.1	2010-11-07 19:12:57

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	M953/343081/562070136841/40496650491842199555367/824501439026637805612489876810823/210604142476977747806569755290105170291449495120790656457721 PRP Cofactor
2010-11-07	-anonymous-	F-ECM	Factor: 210604142476977747806569755290105170291449495120790656457721
2000-08-01	-anonymous-	F	Factor: 192835584617547121