14 653 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
2688408182569467918727	22	71.2	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1259 / 9201

Estimated T-Level: 40.7 ⓘ

TF below 2^130 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	6B9E6F78C9629AFD	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	6B9E6F78C9629AFD	1	13489	1	3
Verified	2020-04-17	Oliver Kruse	769ECD4DE5DC6D86	1	5854	5	3
Verified	2024-07-01	kkmrkkblmbrbk	769ECD4DE5DC6D86	1	11640	5	3

P-1 factors

Date	Factor	B1	B2
2024-03-07	2688408182569467918727	100000000000	122154521813133808

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M14653/2688408182569467918727 : 769ECD4DE5DC6D86 PRP: Verified PRP without proof (small exponent)
2024-03-07	-Anonymous-	F-PM1	Factor: 2688408182569467918727 / (P-1, B1=100000000000, B2=122154521813133810)
2023-05-26	JacobZ	NF-PM1	B1=7400000000, B2=32522539163164050
2021-08-01	ViliamF	NF-PM1	B1=250000000, B2=40250000000
2020-04-17	Oliver Kruse	C-PRP	M14653/2688408182569467918727 : 769ECD4DE5DC6D86 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M14653/2688408182569467918727 : 6B9E6F78C9629AFD PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M14653/2688408182569467918727 : 6B9E6F78C9629AFD PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M14653/2688408182569467918727 : 6B9E6F78C9629AFD PRP without proof (not generated)