3 449 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
565822247	9	29.1	old
259821377195580883858271	24	77.8	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	16550 / 16550
55	110000000	14347 / 40830

Estimated T-Level: 51.8 ⓘ

TF below 2^167 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	D617483F64D155B2	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	D617483F64D155B2	2	217	1	3
Verified	2020-04-17	Oliver Kruse	3A0E9B59613A62EE	2	1753	5	3
Verified	2024-02-03	Wentao Huang	3A0E9B59613A62EE	2	645	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M3449/565822247/259821377195580883858271 : 3A0E9B59613A62EE PRP: Verified PRP without proof (small exponent)
2022-05-07	mikr	NF-PM1	B1=90000000000, B2=353940654665928330
2021-09-05	Jinyuan Wang	NF-PM1	B1=1300000000, B2=13000000000, E=12
2020-04-17	Oliver Kruse	C-PRP	M3449/565822247/259821377195580883858271 : 3A0E9B59613A62EE PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M3449/565822247/259821377195580883858271 : D617483F64D155B2 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3449/565822247/259821377195580883858271 : D617483F64D155B2 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3449/565822247/259821377195580883858271 : D617483F64D155B2 PRP without proof (not generated)