14 851 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
167538896916802750658356317502267528271	39	127.0	2009-06-03 01:40:44

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1704 / 9201

Estimated T-Level: 40.9 ⓘ

TF below 2^131 is very unlikely to find new factors due to ECM effort.

Status	User	Residue	Software
Factored	Unknown	0C74	Unknown,(aka U)
Factored	George Woltman	208CF814E6590C74	Woltman,Prime95,first web release,(aka W4)
Factored	Brian J. Beesley	208CF814E6590C74	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	26E2151924298605	1	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	26E2151924298605	1	11405	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	B647ABFFE8A3343C	1	13494	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	B647ABFFE8A3343C	1	7262	5	3

History

Date	User	Type	Result
2025-02-05	masser	NF-PP1	Start=2/7, B1=355000000, B2=354645000000
2025-02-03	masser	NF-PP1	Start=126/61, B1=355000000, B2=354645000000
2025-01-13	masser	NF-PP1	Start=6/5, B1=355000000, B2=354645000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M14851/167538896916802750658356317502267528271 : B647ABFFE8A3343C
2024-03-07	-anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-27	JacobZ	NF-PM1	B1=7300000000, B2=30020805351537000
2020-04-17	Oliver Kruse	C-PRP	M14851/167538896916802750658356317502267528271 : B647ABFFE8A3343C
2017-10-12	kkmrkkblmbrbk	C-PRP	M14851/167538896916802750658356317502267528271 : 26E2151924298605
2017-09-21	Oliver Kruse	C-PRP	M14851/167538896916802750658356317502267528271 : 26E2151924298605
2017-09-21	Oliver Kruse	C-PRP	M14851/167538896916802750658356317502267528271 : 26E2151924298605
2009-06-03	-anonymous-	F-ECM	Factor: 167538896916802750658356317502267528271
2003-09-29	-anonymous-	NF-PM1	B1=16777216, B2=1677721600, E=12
2003-09-29	-anonymous-	NF-PM1	B1=8388608, B2=838860800, 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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