2 640 709 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
3480454463	10	31.7	old
112953686767	12	36.7	2008-07-14 20:29:19

ECM

Digits	B1	Curves
25	50000	85 / 280

Estimated T-Level: 21.5 ⓘ

TF below 2^66 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)	2017-10-18	Oliver Kruse	B4408BD1E6BEB033	2	1456673	5	3
Verified	PRP without proof (not generated)	2017-12-02	storm5510	B4408BD1E6BEB033	2	175810	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	M2640709/3480454463/112953686767 : B4408BD1E6BEB033
2017-10-18	Oliver Kruse	C-PRP	M2640709/3480454463/112953686767 : B4408BD1E6BEB033
2008-07-14	George Woltman	F-ECM	Factor: 112953686767

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