733 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 3 known prime factors. Cofactor is PRP (Probable-Prime).

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
694653525743	12	39.3	old
14399141148866077141941966959399761	35	113.5	old
13948432601001273785699253868326270649	38	123.4	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_	3	0	1	3

History

Date	User	Type	Result
2024-09-06	George Woltman	P-PRP	M733/694653525743/14399141148866077141941966959399761/13948432601001273785699253868326270649 PRP Cofactor

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