14 741 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
11593410167873	14	43.4	old
108730733735941822447	21	66.6	2008-08-29 02:24:35
5776826933633720155361273	25	82.3	2009-12-25 02:30:44

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1736 / 9201

Estimated T-Level: 40.9 ⓘ

TF below 2^131 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	0836466CF489E406	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	0836466CF489E406	3	0	1	3
Verified	2017-12-07	ATH	0836466CF489E406	3	8082	1	3
Verified	2020-04-17	Oliver Kruse	8D98B4C3F3D1EADB	3	8189	5	3
Verified	2024-07-01	kkmrkkblmbrbk	8D98B4C3F3D1EADB	3	648	5	3

P-1 factors

Date	Factor	B1	B2
2024-03-07	108730733735941822447	100000000000	122154521813133808

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M14741/108730733735941822447/11593410167873/5776826933633720155361273 : 8D98B4C3F3D1EADB PRP: Verified PRP without proof (small exponent)
2024-03-07	-Anonymous-	F-PM1	Factor: 108730733735941822447 / (P-1, B1=100000000000, B2=122154521813133810)
2023-05-26	JacobZ	NF-PM1	B1=7400000000, B2=32522539163164050
2021-08-02	ViliamF	NF-PM1	B1=250000000, B2=42750000000
2020-04-17	Oliver Kruse	C-PRP	M14741/11593410167873/108730733735941822447/5776826933633720155361273 : 8D98B4C3F3D1EADB PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M14741/11593410167873/108730733735941822447/5776826933633720155361273 : 0836466CF489E406 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M14741/11593410167873/108730733735941822447/5776826933633720155361273 : 0836466CF489E406 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M14741/11593410167873/108730733735941822447/5776826933633720155361273 : 0836466CF489E406 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M14741/11593410167873/108730733735941822447/5776826933633720155361273 : 0836466CF489E406 PRP without proof (not generated)
2009-12-25	Never Odd Or Even	F-ECM	Factor: 5776826933633720155361273
2008-08-29	-Anonymous-	F-ECM	Factor: 108730733735941822447