9 337 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 3 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
2614361	7	21.3	old
2838449	7	21.4	old
3951851318370953	16	51.8	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	6761 / 16550

Estimated T-Level: 47.0 ⓘ

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
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	A63C982B7A49305C	3	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	A63C982B7A49305C	3	632	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	AB6326F5B8EBF899	3	4174	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	AB6326F5B8EBF899	3	6601	5	3

History

Date	User	Type	Result
2025-04-08	masser	NF-PP1	Start=196/41, B1=1000000000, B2=999000000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M9337/2614361/2838449/3951851318370953 : AB6326F5B8EBF899
2023-07-06	JacobZ	NF-PM1	B1=62000000000, B2=254047854677867250
2022-01-03	ANONYMOUS	NF-PM1	B1=100000000, B2=5133438650340
2022-01-03	ANONYMOUS	NF-PM1	B1=10000000, B2=2553242762070
2020-04-17	Oliver Kruse	C-PRP	M9337/2614361/2838449/3951851318370953 : AB6326F5B8EBF899
2017-10-12	kkmrkkblmbrbk	C-PRP	M9337/2614361/2838449/3951851318370953 : A63C982B7A49305C
2017-09-21	Oliver Kruse	C-PRP	M9337/2614361/2838449/3951851318370953 : A63C982B7A49305C
2017-09-21	Oliver Kruse	C-PRP	M9337/2614361/2838449/3951851318370953 : A63C982B7A49305C