9 743 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
34626623	8	25.0	old
564723767	9	29.1	old
94933044172300568577631476426315529	35	116.2	2008-08-26 19:58:29
17287329018600277536742831862942557983287	41	133.7	2024-07-07 00:33:48

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	6699 / 16550

Estimated T-Level: 47.0 ⓘ

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

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	353DCCB8506C2982	3	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	353DCCB8506C2982	3	0	1	3
Verified (Factored)	2017-12-07	ATH	353DCCB8506C2982	3	1778	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	2CB03461C32B7C0B	3	7665	5	3
Verified (Factored)	2024-07-01	kkmrkkblmbrbk	2CB03461C32B7C0B	3	5755	5	3
Verified	2024-07-07	nordi	2CB03461C32B7C0B	4	17	5	3

History

Date	User	Type	Result
2024-07-07	nordi	C-PRP	M9743/34626623/564723767/94933044172300568577631476426315529/17287329018600277536742831862942557983287 : 2CB03461C32B7C0B PRP: Verified PRP without proof (small exponent)
2024-07-07	nordi	F-ECM	Factor: 17287329018600277536742831862942557983287 / (ECM curve 73, B1=44000000, B2=1117403522235, Edwards Sigma=4323499610736478)
2024-07-01	kkmrkkblmbrbk	C-PRP	M9743/34626623/564723767/94933044172300568577631476426315529 : 2CB03461C32B7C0B PRP: Verified PRP without proof (small exponent)
2023-06-18	JacobZ	NF-PM1	B1=59000000000, B2=250256095608669150
2022-02-05	Joss	NF-PM1	B1=1000000, B2=6010952007060
2020-04-17	Oliver Kruse	C-PRP	M9743/34626623/564723767/94933044172300568577631476426315529 : 2CB03461C32B7C0B PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M9743/34626623/564723767/94933044172300568577631476426315529 : 353DCCB8506C2982 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M9743/34626623/564723767/94933044172300568577631476426315529 : 353DCCB8506C2982 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M9743/known_factors : 353DCCB8506C2982 PRP without proof (not generated)
2008-08-26	-Anonymous-	F-ECM	Factor: 94933044172300568577631476426315529