7 841 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
2367983	7	21.2	old
6837353	7	22.7	old
121601992871833	15	46.8	old
13185234429279006450961428192075425254794689	44	143.2	2023-02-26 06:22:08

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	6451 / 9201

Estimated T-Level: 43.5 ⓘ

TF below 2^140 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	5C5BCA36CFF3E138	3	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	5C5BCA36CFF3E138	3	466	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	D12512A7F1A5E978	3	3276	5	3
Verified	2023-02-26	Kevin_9611	D12512A7F1A5E978	4	4694	5	3

History

Date	User	Type	Result
2023-02-26	Kevin_9611	C-PRP	M7841/2367983/6837353/121601992871833/13185234429279006450961428192075425254794689 : D12512A7F1A5E978 PRP: Verified PRP without proof (small exponent)
2023-02-26	Denial140	F-ECM	Factor: 13185234429279006450961428192075425254794689 / (ECM curve 43, B1=43000000, B2=893921898870, Sigma=770783052401581)
2021-07-10	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M7841/2367983/6837353/121601992871833 : D12512A7F1A5E978 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M7841/2367983/6837353/121601992871833 : 5C5BCA36CFF3E138 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M7841/2367983/6837353/121601992871833 : 5C5BCA36CFF3E138 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M7841/2367983/6837353/121601992871833 : 5C5BCA36CFF3E138 PRP without proof (not generated)