2 409 893 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
14459359	8	23.8	old
14652149441	11	33.8	2008-07-14 20:23:40
13741330455610332589987519452161	32	103.4	2018-08-21 00:49:52

ECM

Digits	B1	Curves
25	50000	212 / 280

Estimated T-Level: 23.8 ⓘ

TF below 2^74 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-13	Oliver Kruse	81089DCBD739BED6	2	2046816	5	3
Verified (Factored)	2017-11-26	ATH	81089DCBD739BED6	2	356942	5	3
Verified	2018-08-21	ATH	81089DCBD739BED6	3	2343767	5	3

P-1 factors

Date	Factor	B1	B2
2018-08-21	13741330455610332589987519452161	2000000	60000000

History

Date	User	Type	Result
2018-08-21	ATH	C-PRP	M2409893/14459359/14652149441/13741330455610332589987519452161 : 81089DCBD739BED6 PRP: Verified PRP without proof (not generated)
2018-08-21	alpertron	F-PM1	Factor: 13741330455610332589987519452161 / (P-1, B1=2000000, B2=60000000, E=12)
2017-11-26	ATH	C-PRP	M2409893/14459359/14652149441 : 81089DCBD739BED6 PRP: Verified PRP without proof (not generated)
2017-10-13	Oliver Kruse	C-PRP	M2409893/14459359/14652149441 : 81089DCBD739BED6 PRP: Verified PRP without proof (not generated)
2008-07-14	George Woltman	F-ECM	Factor: 14652149441