8 353 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 5 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
50119	5	15.6	old
154146263	9	27.2	old
297834569	9	28.1	old
185673391696007	15	47.4	old
613575823217056714283090451689	30	99.0	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	8203 / 16550

Estimated T-Level: 47.5 ⓘ

TF below 2^153 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	704A97D91BF75A8F	5	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	704A97D91BF75A8F	5	0	1	3
Verified	2017-12-07	ATH	704A97D91BF75A8F	5	464	1	3
Verified	2020-04-17	Oliver Kruse	B47C0B8EC5AB4B0D	5	77	5	3
Verified	2024-07-01	kkmrkkblmbrbk	B47C0B8EC5AB4B0D	5	6148	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M8353/154146263/185673391696007/297834569/50119/613575823217056714283090451689 : B47C0B8EC5AB4B0D PRP: Verified PRP without proof (small exponent)
2023-08-27	JacobZ	NF-PM1	B1=70000000000, B2=265422648792401100
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2021-08-27	Seth_Tr	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M8353/50119/154146263/297834569/185673391696007/613575823217056714283090451689 : B47C0B8EC5AB4B0D PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M8353/50119/154146263/297834569/185673391696007/613575823217056714283090451689 : 704A97D91BF75A8F PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M8353/50119/154146263/297834569/185673391696007/613575823217056714283090451689 : 704A97D91BF75A8F PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8353/known_factors : 704A97D91BF75A8F PRP without proof (not generated)