557 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 4 known prime factors. Cofactor is PRP (Probable-Prime).

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
3343	4	11.7	old
21993703	8	24.4	old
4565508951414453792719	22	72.0	old
22053236096920219270632521586535711	35	114.1	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_	4	0	1	3

History

Date	User	Type	Result
2024-09-06	George Woltman	P-PRP	M557/3343/21993703/4565508951414453792719/22053236096920219270632521586535711 PRP Cofactor

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