3 459 713 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
1146797987537	13	40.1	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	Number of known factors	Shift	Type	Base
Verified	2017-11-07	Oliver Kruse	35C9095C2448EBC6	1	3454280	5	3
Verified	2017-12-16	kkmrkkblmbrbk	35C9095C2448EBC6	1	564855	5	3

History

Date	User	Type	Result
2022-08-15	Joss	NF-PM1	B1=3459713, B2=3499673100
2021-12-21	Joss	NF-PM1	B1=3459713, B2=112173600
2021-08-04	Joss	NF-PM1	B1=3459713, B2=6919426, E=6
2021-06-06	Joss	NF	no factor from 2^67 to 2^68
2021-06-06	Joss	NF-PM1	B1=3459713
2021-03-18	Joss	NF	no factor from 2^66 to 2^67
2021-03-18	Joss	NF-PM1	B1=345971, B2=3459713, E=6
2021-02-28	Joss	NF	no factor from 2^65 to 2^66
2017-12-16	kkmrkkblmbrbk	C-PRP	M3459713/1146797987537 : 35C9095C2448EBC6 PRP: Verified PRP without proof (not generated)
2017-11-07	Oliver Kruse	C-PRP	M3459713/1146797987537 : 35C9095C2448EBC6 PRP: Verified PRP without proof (not generated)