9 341 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
74729	5	16.2	old
113558835913	12	36.7	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	5856 / 16550

Estimated T-Level: 46.8 ⓘ

TF below 2^150 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	2D752C8F4BA833AF	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	2D752C8F4BA833AF	2	5811	1	3
Verified	2020-04-17	Oliver Kruse	34CCEE49AE2F794F	2	4671	5	3
Verified	2024-07-01	kkmrkkblmbrbk	34CCEE49AE2F794F	2	553	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M9341/113558835913/74729 : 34CCEE49AE2F794F PRP: Verified PRP without proof (small exponent)
2023-07-05	JacobZ	NF-PM1	B1=62000000000, B2=254047854677867250
2022-01-03	Lisander Viaene	NF-PM1	B1=100000000, B2=125405610
2022-01-03	Lisander Viaene	NF-PM1	B1=10000000, B2=2551968529110
2020-04-17	Oliver Kruse	C-PRP	M9341/74729/113558835913 : 34CCEE49AE2F794F PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M9341/74729/113558835913 : 2D752C8F4BA833AF PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M9341/74729/113558835913 : 2D752C8F4BA833AF PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M9341/74729/113558835913 : 2D752C8F4BA833AF PRP without proof (not generated)