12 241 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 2 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
7050817	7	22.7	old
173493673885734727649	21	67.2	2008-08-29 02:24:29

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1614 / 9201

Estimated T-Level: 40.9 ⓘ

TF below 2^131 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	F6C8915FE220A176	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	F6C8915FE220A176	2	3264	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	C5ACC5E30307C6E3	2	1448	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	C5ACC5E30307C6E3	2	12093	5	3

History

Date	User	Type	Result
2025-03-07	masser	NF-PP1	Start=185/29, B1=430000000, B2=429570000000
2025-02-21	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-19	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M12241/173493673885734727649/7050817 : C5ACC5E30307C6E3
2023-04-06	-anonymous-	NF-PM1	B1=100000000000, B2=121982729876067060
2020-04-17	Oliver Kruse	C-PRP	M12241/7050817/173493673885734727649 : C5ACC5E30307C6E3
2017-10-12	kkmrkkblmbrbk	C-PRP	M12241/7050817/173493673885734727649 : F6C8915FE220A176
2017-09-21	Oliver Kruse	C-PRP	M12241/7050817/173493673885734727649 : F6C8915FE220A176
2017-09-21	Oliver Kruse	C-PRP	M12241/7050817/173493673885734727649 : F6C8915FE220A176
2016-09-09	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-29	-anonymous-	F-ECM	Factor: 173493673885734727649