14 713 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
588521	6	19.2	old
422306497143532216997879	24	78.5	2008-08-29 02:24:35
11090531323904523333381705282255904512183490609	47	153.0	2023-07-06 02:17:16

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	3572 / 9201

Estimated T-Level: 41.9 ⓘ

TF below 2^134 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	884F6428BA019C06	2	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	884F6428BA019C06	2	1391	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	8DF7F35E2902EF59	2	4961	5	3
Verified	No proof (small exponent)	2023-07-06	Denial140	8DF7F35E2902EF59	3	4244	5	3

History

Date	User	Type	Result
2025-02-06	masser	NF-PP1	Start=2/7, B1=355000000, B2=354645000000
2025-02-05	masser	NF-PP1	Start=147/41, B1=355000000, B2=354645000000
2025-01-16	masser	NF-PP1	Start=6/5, B1=355000000, B2=354645000000
2024-03-07	-anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-07-06	Denial140	C-PRP	M14713/588521/422306497143532216997879/11090531323904523333381705282255904512183490609 : 8DF7F35E2902EF59
2023-07-06	Denial140	F-ECM	Factor: 11090531323904523333381705282255904512183490609 / ECM curve 124, B1=3000000, B2=22972874925, Montgomery Sigma=1715325137117886
2023-05-26	JacobZ	NF-PM1	B1=7400000000, B2=32522539163164050
2021-08-01	ViliamF	NF-PM1	B1=250000000, B2=42750000000
2020-04-17	Oliver Kruse	C-PRP	M14713/588521/422306497143532216997879 : 8DF7F35E2902EF59
2017-10-12	kkmrkkblmbrbk	C-PRP	M14713/588521/422306497143532216997879 : 884F6428BA019C06
2017-09-21	Oliver Kruse	C-PRP	M14713/588521/422306497143532216997879 : 884F6428BA019C06
2017-09-21	Oliver Kruse	C-PRP	M14713/588521/422306497143532216997879 : 884F6428BA019C06
2008-08-29	-anonymous-	F-ECM	Factor: 422306497143532216997879