9 241 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
402719448640550999	18	58.5	old
42833623397271509550058451923527601	35	115.0	2018-05-27 20:00:54
32922206576347256087167263942820480596370967	44	144.6	2024-06-09 06:25:26

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	6750 / 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
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	8EB7BD4A4CD9E669	1	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	8EB7BD4A4CD9E669	1	413	1	3
Factored	No proof (small exponent)	2018-05-28	ANONYMOUS	148EFFBBB703BCB3	2	2726	5	3
Factored	No proof (small exponent)	2018-05-29	Oliver Kruse	148EFFBBB703BCB3	2	8010	5	3
Verified	No proof (small exponent)	2024-06-09	nordi	148EFFBBB703BCB3	3	8797	5	3

History

Date	User	Type	Result
2025-04-10	masser	NF-PP1	Start=140/41, B1=1000000000, B2=999000000000
2024-06-09	nordi	C-PRP	M9241/402719448640550999/42833623397271509550058451923527601/32922206576347256087167263942820480596370967 : 148EFFBBB703BCB3
2024-06-09	nordi	F-ECM	Factor: 32922206576347256087167263942820480596370967 / ECM curve 137, B1=11000000, B2=148986983145, Edwards Sigma=8845381338967275
2023-07-10	JacobZ	NF-PM1	B1=63000000000, B2=255469764292442700
2021-12-16	ANONYMOUS	NF-PM1	B1=100000000
2018-05-29	Oliver Kruse	C-PRP	M9241/402719448640550999/42833623397271509550058451923527601 : 148EFFBBB703BCB3
2018-05-28	ANONYMOUS	C-PRP	M9241/402719448640550999/42833623397271509550058451923527601 : 148EFFBBB703BCB3
2018-05-27	Hexaflexagon	F-ECM	Factor: 42833623397271509550058451923527601
2017-10-12	kkmrkkblmbrbk	C-PRP	M9241/402719448640550999 : 8EB7BD4A4CD9E669
2017-09-21	Oliver Kruse	C-PRP	M9241/402719448640550999 : 8EB7BD4A4CD9E669
2017-09-21	Oliver Kruse	C-PRP	M9241/402719448640550999 : 8EB7BD4A4CD9E669