3 443 719 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
644423262813162673	18	59.2	old

ECM

Digits	B1	Curves
25	50000	3 / 280

Estimated T-Level: 20.1 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		John Lloyd	0ECE3CC060E54F0C	0
Verified (Factored)		Brian J. Beesley	0ECE3CC060E54F0C	0

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-11-06	Oliver Kruse	E9A5E002A12A9D92	1	2702417	5	3
Verified	2017-12-16	kkmrkkblmbrbk	E9A5E002A12A9D92	1	66963	5	3

History

Date	User	Type	Result
2022-08-16	Joss	NF-PM1	B1=3443719, B2=347329500
2021-12-21	Joss	NF-PM1	B1=3443719, B2=112173600
2021-08-04	Joss	NF-PM1	B1=3443719, B2=6887438, E=6
2021-06-11	Joss	NF	no factor from 2^67 to 2^68
2021-06-11	Joss	NF-PM1	B1=3443719
2021-03-17	Joss	NF-PM1	B1=344371, B2=3443719, E=6
2017-12-16	kkmrkkblmbrbk	C-PRP	M3443719/644423262813162673 : E9A5E002A12A9D92 PRP: Verified PRP without proof (not generated)
2017-11-06	Oliver Kruse	C-PRP	M3443719/644423262813162673 : E9A5E002A12A9D92 PRP: Verified PRP without proof (not generated)