13 967 Exponent Status

PrimeNet Exponent Status

M_n

Details

Composite, with 1 known prime factor. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
3497798117359203443260143530134347389850527745239	49	161.3	2015-03-14 05:24:51

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	4771 / 9201

Estimated T-Level: 42.6 ⓘ

TF below 2^136 is very unlikely to find new factors due to ECM effort.

Status	User	Residue	Software
Factored	Unknown	55C5	Unknown,(aka U)
Factored	George Woltman	CF6B7C131D05D5C5	Woltman,Prime95,first web release,(aka W4)
Factored	Brian J. Beesley	CF6B7C131D05D5C5	Mac,John Sweeney,v1.4,(aka J3)

PRP Cofactor

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	EC0E3DCD6A4D7F0A	1	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	EC0E3DCD6A4D7F0A	1	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	EC0E3DCD6A4D7F0A	1	11139	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	3B1B4B886ADAC278	1	13932	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	3B1B4B886ADAC278	1	8245	5	3

History

Date	User	Type	Result
2025-02-18	masser	NF-PP1	Start=77/17, B1=430000000, B2=429570000000
2025-02-09	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-21	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M13967/3497798117359203443260143530134347389850527745239 : 3B1B4B886ADAC278
2024-01-29	-anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-22	JacobZ	NF-PM1	B1=7800000000, B2=32022192391138950
2020-04-17	Oliver Kruse	C-PRP	M13967/3497798117359203443260143530134347389850527745239 : 3B1B4B886ADAC278
2017-12-07	ATH	C-PRP	M13967/3497798117359203443260143530134347389850527745239 : EC0E3DCD6A4D7F0A
2017-10-02	kkmrkkblmbrbk	C-PRP	M13967/3497798117359203443260143530134347389850527745239 : EC0E3DCD6A4D7F0A
2017-09-21	Oliver Kruse	C-PRP	M13967/known_factors : EC0E3DCD6A4D7F0A
2015-03-14	Carsten Kossendey	F-ECM	Factor: 3497798117359203443260143530134347389850527745239
2013-03-01	bcp19	NF-PM1	B1=10000000000, B2=100000000000, E=12
2012-11-22	bcp19	NF	no factor TF: 60-61
2012-10-12	Joss	NF-PM1	B1=629383865
2011-05-13	Joss	NF-PM1	B1=400000000
2010-07-04	George Woltman	NF	no factor TF: 59-60
2010-07-04	George Woltman	NF	no factor TF: 58-59
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
2002-08-24	-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
2000-01-25	-anonymous-	NF	no factor TF: 53-54
1999-09-14	-anonymous-	NF	no factor TF: 52-53

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