14 747 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
66323929465207217	17	55.9	old
279667200873736553	18	58.0	2008-08-29 02:24:35

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	2921 / 9201

Estimated T-Level: 41.6 ⓘ

TF below 2^133 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	816E620EE6C74E5E	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	816E620EE6C74E5E	2	14453	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	9A70A6A5A26BCF5D	2	6903	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	9A70A6A5A26BCF5D	2	6476	5	3

History

Date	User	Type	Result
2025-02-05	masser	NF-PP1	Start=2/7, B1=355000000, B2=354645000000
2025-02-05	masser	NF-PP1	Start=129/31, B1=355000000, B2=354645000000
2025-01-16	masser	NF-PP1	Start=6/5, B1=355000000, B2=354645000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M14747/279667200873736553/66323929465207217 : 9A70A6A5A26BCF5D
2024-03-07	-anonymous-	NF-PM1	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	M14747/66323929465207217/279667200873736553 : 9A70A6A5A26BCF5D
2017-10-12	kkmrkkblmbrbk	C-PRP	M14747/66323929465207217/279667200873736553 : 816E620EE6C74E5E
2017-09-21	Oliver Kruse	C-PRP	M14747/66323929465207217/279667200873736553 : 816E620EE6C74E5E
2017-09-21	Oliver Kruse	C-PRP	M14747/66323929465207217/279667200873736553 : 816E620EE6C74E5E
2008-08-29	-anonymous-	F-ECM	Factor: 279667200873736553