14 341 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
15240753740897812639	20	63.7	2008-08-29 02:24:34
990786933682438271849	21	69.7	old
2589197694496414543997028308521183	34	111.0	2010-01-01 02:09:39

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	2403 / 9201

Estimated T-Level: 41.3 ⓘ

TF below 2^132 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	708F02A44E0F50F8	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	708F02A44E0F50F8	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	708F02A44E0F50F8	3	6831	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	722E79FA89A6FB89	3	7418	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	722E79FA89A6FB89	3	10188	5	3

History

Date	User	Type	Result
2025-02-14	masser	NF-PP1	Start=182/13, B1=355000000, B2=354645000000
2025-02-07	masser	NF-PP1	Start=2/7, B1=355000000, B2=354645000000
2025-01-18	masser	NF-PP1	Start=6/5, B1=355000000, B2=354645000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M14341/15240753740897812639/2589197694496414543997028308521183/990786933682438271849 : 722E79FA89A6FB89
2023-11-30	-anonymous-	NF-PM1	B1=100000000000, B2=122815096988293710
2023-05-24	JacobZ	NF-PM1	B1=7600000000, B2=30020805351537000
2022-01-24	Ethan O'Connor	NF-PM1	B1=1000000000, B2=3088390743498060
2020-04-17	Oliver Kruse	C-PRP	M14341/15240753740897812639/990786933682438271849/2589197694496414543997028308521183 : 722E79FA89A6FB89
2017-12-07	ATH	C-PRP	M14341/15240753740897812639/990786933682438271849/2589197694496414543997028308521183 : 708F02A44E0F50F8
2017-10-02	kkmrkkblmbrbk	C-PRP	M14341/15240753740897812639/990786933682438271849/2589197694496414543997028308521183 : 708F02A44E0F50F8
2017-09-21	Oliver Kruse	C-PRP	M14341/known_factors : 708F02A44E0F50F8
2010-01-01	Never Odd Or Even	F-ECM	Factor: 2589197694496414543997028308521183
2008-08-29	-anonymous-	F-ECM	Factor: 15240753740897812639