11 257 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
1323113634759436900250661808529973403087	40	130.0	2009-03-05 15:09:11

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	2903 / 9201

Estimated T-Level: 41.6 ⓘ

TF below 2^133 is very unlikely to find new factors due to ECM effort.

Status	User	Residue	Software
Factored	Unknown	1FE5	Unknown,(aka U)
Factored	George Woltman	5D8FC21508501FE5	Woltman,Prime95,first web release,(aka W4)
Factored	Brian J. Beesley	5D8FC21508501FE5	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	A2A1837E586C96A3	1	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	A2A1837E586C96A3	1	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	A2A1837E586C96A3	1	7454	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	E46F0639BFC09192	1	2246	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	E46F0639BFC09192	1	4996	5	3

History

Date	User	Type	Result
2025-02-21	masser	NF-PP1	Start=96/37, B1=640000000, B2=639360000000
2025-02-12	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-24	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M11257/1323113634759436900250661808529973403087 : E46F0639BFC09192
2022-12-30	-anonymous-	NF-PM1	B1=100000000000, B2=122192573512709700
2020-04-17	Oliver Kruse	C-PRP	M11257/1323113634759436900250661808529973403087 : E46F0639BFC09192
2017-12-07	ATH	C-PRP	M11257/1323113634759436900250661808529973403087 : A2A1837E586C96A3
2017-10-02	kkmrkkblmbrbk	C-PRP	M11257/1323113634759436900250661808529973403087 : A2A1837E586C96A3
2017-09-21	Oliver Kruse	C-PRP	M11257/1323113634759436900250661808529973403087 : A2A1837E586C96A3
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2009-03-05	-anonymous-	F-ECM	Factor: 1323113634759436900250661808529973403087
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
2002-07-27	-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
2001-09-22	-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
2000-08-24	-anonymous-	NF	no factor TF: 1-56
2000-06-29	-anonymous-	NF	no factor TF: 1-55
2000-06-28	-anonymous-	NF	no factor TF: 1-55
1999-12-30	-anonymous-	NF	no factor TF: 53-54
1999-09-14	-anonymous-	NF	no factor TF: 52-53

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