14 731 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
17316965290250517317152241703977	32	103.8	2009-01-26 20:49:34
38152341450307720350579681531627259192409	41	134.8	2021-11-01 10:25:52

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1258 / 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	Shift
Verified (Factored)		Unknown	02D6	0
Verified (Factored)		George Woltman	341DCFB0EF4202D6	0
Verified (Factored)		Brian J. Beesley	341DCFB0EF4202D6	0

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	2857DB1720B5B545	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	2857DB1720B5B545	1	14555	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	095C407C58E09259	1	7041	5	3
Verified	2021-11-01	SRJ2877	095C407C58E09259	2	14290	5	3

History

Date	User	Type	Result
2024-03-07	-Anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-26	JacobZ	NF-PM1	B1=7400000000, B2=32522539163164050
2021-11-22	Oliver Kruse	NF-PM1	B1=1000000000, B2=197713677773176
2021-11-01	SRJ2877	C-PRP	M14731/17316965290250517317152241703977/38152341450307720350579681531627259192409 : 095C407C58E09259 PRP: Verified PRP without proof (small exponent)
2021-11-01	nordi	F-ECM	Factor: 38152341450307720350579681531627259192409 / (ECM curve 123, B1=3000000, B2=300000000, Sigma=1633953865112230)
2021-08-01	ViliamF	NF-PM1	B1=250000000, B2=42750000000
2020-04-17	Oliver Kruse	C-PRP	M14731/17316965290250517317152241703977 : 095C407C58E09259 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M14731/17316965290250517317152241703977 : 2857DB1720B5B545 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M14731/17316965290250517317152241703977 : 2857DB1720B5B545 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M14731/17316965290250517317152241703977 : 2857DB1720B5B545 PRP without proof (not generated)
2009-01-26	GrunwalderGIMP	F-ECM	Factor: 17316965290250517317152241703977