2 629 729 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 2 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁶³

Factored

Factor	Digits	Bits	Date
14579217577	11	33.8	old
5423784505753	13	42.3	2008-07-14 20:29:15

ECM

Digits	B1	Curves
25	50000	133 / 280

Estimated T-Level: 22.4 ⓘ

TF below 2^69 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	PRP without proof (not generated)	2017-10-17	Oliver Kruse	E21CD98C1EE1F308	2	1310541	5	3
Verified	PRP without proof (not generated)	2017-12-02	storm5510	E21CD98C1EE1F308	2	36463	5	3

History

Date	User	Type	Result
2019-07-04	alpertron	NF-PM1	B1=2000000, B2=60000000, E=12
2017-12-02	storm5510	C-PRP	M2629729/14579217577/5423784505753 : E21CD98C1EE1F308
2017-10-17	Oliver Kruse	C-PRP	M2629729/14579217577/5423784505753 : E21CD98C1EE1F308
2008-07-14	George Woltman	F-ECM	Factor: 5423784505753

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