14 327 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
3141769890007686917158835691682745468462850937	46	151.1	2014-12-29 04:21:32

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	3336 / 9201

Estimated T-Level: 41.8 ⓘ

TF below 2^134 is very unlikely to find new factors due to ECM effort.

Status	User	Residue	Software
Factored	Unknown	778E	Unknown,(aka U)
Factored	George Woltman	FABB5A9CC74A778E	Woltman,Prime95,first web release,(aka W4)
Factored	Brian J. Beesley	FABB5A9CC74A778E	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	3476E1F7F62603DE	1	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	3476E1F7F62603DE	1	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	3476E1F7F62603DE	1	4287	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	5FC8AC7B74257CA5	1	6660	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	5FC8AC7B74257CA5	1	5569	5	3

History

Date	User	Type	Result
2025-02-13	masser	NF-PP1	Start=100/17, B1=355000000, B2=354645000000
2025-02-08	masser	NF-PP1	Start=2/7, B1=355000000, B2=354645000000
2025-01-19	masser	NF-PP1	Start=6/5, B1=355000000, B2=354645000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M14327/3141769890007686917158835691682745468462850937 : 5FC8AC7B74257CA5
2024-01-29	-anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-24	JacobZ	NF-PM1	B1=7600000000, B2=30020805351537000
2020-04-17	Oliver Kruse	C-PRP	M14327/3141769890007686917158835691682745468462850937 : 5FC8AC7B74257CA5
2017-12-07	ATH	C-PRP	M14327/3141769890007686917158835691682745468462850937 : 3476E1F7F62603DE
2017-10-02	kkmrkkblmbrbk	C-PRP	M14327/3141769890007686917158835691682745468462850937 : 3476E1F7F62603DE
2017-09-21	Oliver Kruse	C-PRP	M14327/3141769890007686917158835691682745468462850937 : 3476E1F7F62603DE
2014-12-29	Carsten Kossendey	F-ECM	Factor: 3141769890007686917158835691682745468462850937
2013-03-18	bcp19	NF-PM1	B1=10000000000, B2=500000000000, E=12
2012-12-25	bcp19	NF	no factor TF: 60-61
2012-10-12	Joss	NF-PM1	B1=607355021
2011-05-18	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=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
2001-09-30	-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
2000-03-01	-anonymous-	NF	no factor TF: 53-54
1999-09-14	-anonymous-	NF	no factor TF: 52-53

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