9 349 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
1793044711	10	30.7	old
1926177466382766645407	22	70.7	old
543479589900701506032857	24	78.8	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1281 / 9201

Estimated T-Level: 40.7 ⓘ

TF below 2^130 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	4B82CB3174D60EE7	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	4B82CB3174D60EE7	3	0	1	3
Verified	2017-12-07	ATH	4B82CB3174D60EE7	3	5777	1	3
Unverified	2020-04-17	Oliver Kruse	4EBE273DD28B66__	3	9130	5	3

History

Date	User	Type	Result
2023-07-05	JacobZ	NF-PM1	B1=62000000000, B2=254047854677867250
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M9349/1793044711/1926177466382766645407/543479589900701506032857 : 4EBE273DD28B66__ PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M9349/1793044711/1926177466382766645407/543479589900701506032857 : 4B82CB3174D60EE7 PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M9349/1793044711/1926177466382766645407/543479589900701506032857 : 4B82CB3174D60EE7 PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M9349/known_factors : 4B82CB3174D60EE7 PRP without proof (not generated)