14 713 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
588521	6	19.2	old
422306497143532216997879	24	78.5	2008-08-29 02:24:35
11090531323904523333381705282255904512183490609	47	153.0	2023-07-06 02:17:15

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1260 / 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 (Factored)	2017-09-21	Oliver Kruse	884F6428BA019C06	2	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	884F6428BA019C06	2	1391	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	8DF7F35E2902EF59	2	4961	5	3
Verified	2023-07-06	Denial140	8DF7F35E2902EF59	3	4244	5	3

History

Date	User	Type	Result
2024-03-07	-Anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-07-06	Denial140	C-PRP	M14713/588521/422306497143532216997879/11090531323904523333381705282255904512183490609 : 8DF7F35E2902EF59 PRP: Verified PRP without proof (small exponent)
2023-07-06	Denial140	F-ECM	Factor: 11090531323904523333381705282255904512183490609 / (ECM curve 124, B1=3000000, B2=22972874925, 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 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M14713/588521/422306497143532216997879 : 884F6428BA019C06 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M14713/588521/422306497143532216997879 : 884F6428BA019C06 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M14713/588521/422306497143532216997879 : 884F6428BA019C06 PRP without proof (not generated)
2008-08-29	-Anonymous-	F-ECM	Factor: 422306497143532216997879