541 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
4312790327	10	32.0	old
6115209994009	13	42.5	old
77146448294831869472151022106713	32	105.9	old
904106555381898703253733254107256591	36	119.4	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	M541/4312790327/6115209994009/77146448294831869472151022106713/904106555381898703253733254107256591 PRP Cofactor

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