14 731 Exponent Status

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
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	2282 / 9201

Estimated T-Level: 41.2 ⓘ

TF below 2^132 is very unlikely to find new factors due to ECM effort.

Status	User	Residue	Software
Factored	Unknown	02D6	Unknown,(aka U)
Factored	George Woltman	341DCFB0EF4202D6	Woltman,Prime95,first web release,(aka W4)
Factored	Brian J. Beesley	341DCFB0EF4202D6	Mac,John Sweeney,v1.4,(aka J3)

PRP Cofactor

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	2857DB1720B5B545	1	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	2857DB1720B5B545	1	14555	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	095C407C58E09259	1	7041	5	3
Verified	No proof (small exponent)	2021-11-01	SRJ2877	095C407C58E09259	2	14290	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=169/71, B1=355000000, B2=354645000000
2025-01-14	masser	NF-PP1	Start=6/5, B1=355000000, B2=354645000000
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
2021-11-01	nordi	F-ECM	Factor: 38152341450307720350579681531627259192409 / ECM curve 123, B1=3000000, B2=300000000, Montgomery Sigma=1633953865112230
2021-08-01	ViliamF	NF-PM1	B1=250000000, B2=42750000000
2020-04-17	Oliver Kruse	C-PRP	M14731/17316965290250517317152241703977 : 095C407C58E09259
2017-10-12	kkmrkkblmbrbk	C-PRP	M14731/17316965290250517317152241703977 : 2857DB1720B5B545
2017-09-21	Oliver Kruse	C-PRP	M14731/17316965290250517317152241703977 : 2857DB1720B5B545
2017-09-21	Oliver Kruse	C-PRP	M14731/17316965290250517317152241703977 : 2857DB1720B5B545
2009-01-26	GrunwalderGIMP	F-ECM	Factor: 17316965290250517317152241703977
2003-09-29	-anonymous-	NF-PM1	B1=8388608, B2=838860800, E=12
2003-09-29	-anonymous-	NF-PM1	B1=16777216, B2=1677721600, E=12
2003-07-06	-anonymous-	NF-PM1	B1=4194304, B2=419430400, E=12
2003-05-19	-anonymous-	NF-PM1	B1=2097152, B2=209715200, E=12
2003-04-27	-anonymous-	NF-PM1	B1=1048576, B2=104857600, E=48
2003-04-03	-anonymous-	NF-PM1	B1=524288, B2=52428800, E=48
2003-03-27	-anonymous-	NF-PM1	B1=262144, B2=26214400, E=30
2003-02-02	-anonymous-	NF-PM1	B1=131072, B2=13107200, E=30
2002-08-31	-anonymous-	NF	no factor TF: 1-57
2002-07-14	-anonymous-	NF-PM1	B1=65536, B2=6553600, E=12
2002-06-09	-anonymous-	NF-PM1	B1=32768, B2=3276800
2002-04-28	-anonymous-	NF-PM1	B1=16384, B2=1638400
2001-10-06	-anonymous-	NF-PM1	B1=43000000, B2=4290000000
2001-07-17	Alex Kruppa	NF-PM1	B1=1000000, B2=100000000
2001-04-29	-anonymous-	NF-PM1	B1=100000, B2=10000000
2000-09-15	-anonymous-	NF	no factor TF: 1-56
2000-03-01	-anonymous-	NF	no factor TF: 53-54
1999-09-14	-anonymous-	NF	no factor TF: 52-53

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