2 701 319 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
7412419337	10	32.8	old
2520897903991	13	41.2	2008-09-30 14:37:36
6406426529849	13	42.5	2008-09-30 14:37:36
129182401312189512017	21	66.8	2019-05-29 18:40:16

ECM

Digits	B1	Curves
25	50000	58 / 280

Estimated T-Level: 21.0 ⓘ

TF below 2^65 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-19	Oliver Kruse	782461BDF43ABCA9	3	83273	5	3
Verified (Factored)	2017-12-04	kkmrkkblmbrbk	782461BDF43ABCA9	3	641235	5	3
Verified	2019-05-30	Niels_Mache_Nextcloud	782461BDF43ABCA9	4	2564516	5	3
Verified	2019-05-30	Daniil Tsarkov	782461BDF43ABCA9	4	745440	5	3

P-1 factors

Date	Factor	B1	B2
2019-05-29	129182401312189512017	60000	600000

History

Date	User	Type	Result
2023-01-26	USAFSS	NF-PM1	B1=288000, B2=261254070
2019-05-30	Daniil Tsarkov	C-PRP	M2701319/7412419337/2520897903991/6406426529849/129182401312189512017 : 782461BDF43ABCA9 PRP: Verified PRP without proof (not generated)
2019-05-30	Niels_Mache_Nextcloud	C-PRP	M2701319/7412419337/2520897903991/6406426529849/129182401312189512017 : 782461BDF43ABCA9 PRP: Verified PRP without proof (not generated)
2019-05-29	Joss	F-PM1	Factor: 129182401312189512017 / (P-1, B1=60000, B2=600000)
2017-12-04	kkmrkkblmbrbk	C-PRP	M2701319/7412419337/2520897903991/6406426529849 : 782461BDF43ABCA9 PRP: Verified PRP without proof (not generated)
2017-10-19	Oliver Kruse	C-PRP	M2701319/7412419337/2520897903991/6406426529849 : 782461BDF43ABCA9 PRP: Verified PRP without proof (not generated)
2008-09-30	markr	F	Factor: 6406426529849
2008-09-30	markr	F	Factor: 2520897903991