10 667 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
13545398497957644396288986880387034653822727	44	143.3	2010-03-17 02:36:04

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	5428 / 16550

Estimated T-Level: 46.6 ⓘ

TF below 2^150 is very unlikely to find new factors due to ECM effort.

Status	User	Residue	Software
Factored	Unknown	5B7B	Unknown,(aka U)
Factored	George Woltman	AD23A344EA29DB7B	Woltman,Prime95,first web release,(aka W4)
Factored	Brian J. Beesley	AD23A344EA29DB7B	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	1E06C275B3877F1A	1	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	1E06C275B3877F1A	1	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	1E06C275B3877F1A	1	7310	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	E25B9CBE93F123B1	1	4495	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	E25B9CBE93F123B1	1	8362	5	3

History

Date	User	Type	Result
2025-02-28	masser	NF-PP1	Start=167/47, B1=960000000, B2=959040000000
2025-02-15	masser	NF-PP1	Start=6/5, B1=960000000, B2=959040000000
2025-02-04	masser	NF-PP1	Start=2/7, B1=960000000, B2=959040000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M10667/13545398497957644396288986880387034653822727 : E25B9CBE93F123B1
2022-11-09	-anonymous-	NF-PM1	B1=100000000000, B2=120443211520241610
2020-04-17	Oliver Kruse	C-PRP	M10667/13545398497957644396288986880387034653822727 : E25B9CBE93F123B1
2017-10-12	kkmrkkblmbrbk	C-PRP	M10667/13545398497957644396288986880387034653822727 : 1E06C275B3877F1A
2017-10-02	kkmrkkblmbrbk	C-PRP	M10667/13545398497957644396288986880387034653822727 : 1E06C275B3877F1A
2017-09-21	Oliver Kruse	C-PRP	M10667/known_factors : 1E06C275B3877F1A
2016-09-08	kkmrkkblmbrbk	NF-PM1	B1=10000000000, B2=500000000000, E=12
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2010-03-17	-anonymous-	F-ECM	Factor: 13545398497957644396288986880387034653822727
2006-01-15	Joss	NF-PM1	B1=300000000
2006-01-15	Joss	NF-PM1	B1=200000000
2006-01-15	Joss	NF-PM1	B1=110000000
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
2002-07-20	-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
2001-07-17	-anonymous-	NF-PM1	B1=43000000, B2=4290000000
2001-07-03	Alex Kruppa	NF-PM1	B1=1000000, B2=100000000
2001-04-29	-anonymous-	NF-PM1	B1=100000, B2=10000000
2000-08-17	-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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