14 009 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
409822333009668300957056641056847396458241657	45	148.2	2015-11-06 18:36:47

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	2439 / 16550

Estimated T-Level: 45.7 ⓘ

TF below 2^147 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift	Software
Factored		Unknown	6977	0	Unknown,(aka U)
Factored		George Woltman	9B5372634C2FE977	0	Woltman,Prime95,first web release,(aka W4)
Factored		Brian J. Beesley	9B5372634C2FE977	0	Mac,John Sweeney,v1.4,(aka J3)
Factored	2015-04-11	MadPoo 🙂	9B5372634C2FE977	11314	Windows 64-bit,Prime95,v26,(aka We4)

PRP Cofactor

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	7D206A1E79B9D073	1	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	7D206A1E79B9D073	1	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	7D206A1E79B9D073	1	3313	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	8E6609D1122103B6	1	792	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	8E6609D1122103B6	1	12990	5	3

History

Date	User	Type	Result
2025-02-27	masser	NF-PP1	Start=172/19, B1=645000000, B2=644355000000
2025-02-20	masser	NF-PP1	Start=6/5, B1=645000000, B2=644355000000
2025-02-09	masser	NF-PP1	Start=2/7, B1=645000000, B2=644355000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M14009/409822333009668300957056641056847396458241657 : 8E6609D1122103B6
2024-01-29	-anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-23	JacobZ	NF-PM1	B1=7800000000, B2=32022192391138950
2020-04-17	Oliver Kruse	C-PRP	M14009/409822333009668300957056641056847396458241657 : 8E6609D1122103B6
2017-12-07	ATH	C-PRP	M14009/409822333009668300957056641056847396458241657 : 7D206A1E79B9D073
2017-10-02	kkmrkkblmbrbk	C-PRP	M14009/409822333009668300957056641056847396458241657 : 7D206A1E79B9D073
2017-09-21	Oliver Kruse	C-PRP	M14009/409822333009668300957056641056847396458241657 : 7D206A1E79B9D073
2015-11-06	Carsten Kossendey	F-ECM	Factor: 409822333009668300957056641056847396458241657
2015-08-27	snme2pm1	NF	no factor TF: 61-62
2015-04-11	MadPoo 🙂	C-LL	9B5372634C2FE977
2013-03-04	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=626743736
2011-02-23	kurly	NF-PM1	B1=500000000, B2=30000000000, E=12
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
2002-08-31	-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
2001-09-30	-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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