258 967 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
4747486630801	13	42.1	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	231 / 1566

Estimated T-Level: 30.7 ⓘ

TF below 2^97 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	E639754B07535AB1	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	E639754B07535AB1	1	4192	1	3
Verified	2020-04-17	Oliver Kruse	1B3BF546CC2C7918	1	164243	5	3
Verified	2024-07-27	kkmrkkblmbrbk	1B3BF546CC2C7918	1	254101	5	3

History

Date	User	Type	Result
2024-07-27	WilliW	CERT	PRP Certification Proof certified good
2024-07-27	kkmrkkblmbrbk	C-PRP	M258967/4747486630801 : 1B3BF546CC2C7918 PRP proof power = 5 PRP: Verified Proof certified good
2022-05-01	Oliver Kruse	NF-PM1	B1=30000000, B2=10035812696910
2021-09-01	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000, E=24
2020-04-17	Oliver Kruse	C-PRP	M258967/4747486630801 : 1B3BF546CC2C7918 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M258967/4747486630801 : E639754B07535AB1 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M258967/4747486630801 : E639754B07535AB1 PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M258967/4747486630801 : E639754B07535AB1 PRP without proof (not generated)