9 349 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 4 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
1793044711	10	30.7	old
1926177466382766645407	22	70.7	old
543479589900701506032857	24	78.8	old
76062371584548336530039993139424384845461330907143903	53	175.7	2024-09-23 12:50:29

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	6792 / 16550

Estimated T-Level: 47.1 ⓘ

TF below 2^151 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	4B82CB3174D60EE7	3	0	1	3
Factored	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	4B82CB3174D60EE7	3	0	1	3
Factored	No proof (small exponent)	2017-12-07	ATH	4B82CB3174D60EE7	3	5777	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	4EBE273DD28B66A7	3	9130	5	3
Factored	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	4EBE273DD28B66A7	3	6418	5	3
Verified	No proof (small exponent)	2024-09-23	nordi	4EBE273DD28B66A7	4	5001	5	3

History

Date	User	Type	Result
2025-04-06	masser	NF-PP1	Start=151/23, B1=1000000000, B2=999000000000
2024-09-23	nordi	C-PRP	M9349/1793044711/1926177466382766645407/543479589900701506032857/76062371584548336530039993139424384845461330907143903 : 4EBE273DD28B66A7
2024-09-23	nordi	F-ECM	Factor: 76062371584548336530039993139424384845461330907143903 / ECM curve 336, B1=44000000, B2=1117403522235, Edwards Sigma=2369751698251132
2024-07-01	kkmrkkblmbrbk	C-PRP	M9349/1793044711/1926177466382766645407/543479589900701506032857 : 4EBE273DD28B66A7
2023-07-05	JacobZ	NF-PM1	B1=62000000000, B2=254047854677867250
2021-12-16	ANONYMOUS	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M9349/1793044711/1926177466382766645407/543479589900701506032857 : 4EBE273DD28B66A7
2017-12-07	ATH	C-PRP	M9349/1793044711/1926177466382766645407/543479589900701506032857 : 4B82CB3174D60EE7
2017-10-02	kkmrkkblmbrbk	C-PRP	M9349/1793044711/1926177466382766645407/543479589900701506032857 : 4B82CB3174D60EE7
2017-09-21	Oliver Kruse	C-PRP	M9349/known_factors : 4B82CB3174D60EE7