1 669 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
112493750443412941745410571996247741731544451845539488817	57	186.2	2009-07-26 12:12:52

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	16550 / 16550
55	110000000	40830 / 40830
60	260000000	105362 / 105362
65	800000000	158226 / 194238

Estimated T-Level: 64.1 ⓘ

TF below 2^208 is very unlikely to find new factors due to ECM effort.

Status	User	Residue	Shift	Software
Factored	Unknown	3E8F	0	Unknown,(aka U)
Factored	George Woltman	56D373351121BE8F	0	Woltman,Prime95,first web release,(aka W4)
Factored	Gord Palameta	56D373351121BE8F	1195	Linux 32-bit,Prime95,v23,(aka WZ2)

PRP Cofactor

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	A51A6C8166366312	1	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	A51A6C8166366312	1	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	A51A6C8166366312	1	596	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	3470CACADAE4A903	1	714	5	3
Verified	No proof (small exponent)	2020-08-12	_p95holder_	3470CACADAE4A903	1	484	5	3

History

Date	User	Type	Result
2022-08-15	mikr	NF-PM1	B1=400000000000, B2=1310778031989756330
2021-07-22	ViliamF	NF-PP1	Start=2/7, B1=1000000000, B2=221000000000
2020-08-12	_p95holder_	C-PRP	M1669/112493750443412941745410571996247741731544451845539488817 : 3470CACADAE4A903
2020-04-17	Oliver Kruse	C-PRP	M1669/112493750443412941745410571996247741731544451845539488817 : 3470CACADAE4A903
2017-12-07	ATH	C-PRP	M1669/112493750443412941745410571996247741731544451845539488817 : A51A6C8166366312
2017-10-02	kkmrkkblmbrbk	C-PRP	M1669/112493750443412941745410571996247741731544451845539488817 : A51A6C8166366312
2017-09-21	Oliver Kruse	C-PRP	M1669/known_factors : A51A6C8166366312
2009-07-26	unconnected	F-ECM	Factor: 112493750443412941745410571996247741731544451845539488817
2009-06-14	James Hintz	NF-PM1	B1=22000000000, B2=220000000000, E=12
2008-12-07	Matthias Wurtinger	NF-PM1	B1=20000000000, B2=40000000000, E=12
2008-12-06	Matthias Wurtinger	NF-PM1	B1=15000000000, B2=30000000000, E=12
2008-12-05	Matthias Wurtinger	NF-PM1	B1=10000000000, B2=20000000000, E=12
2005-04-02	garyfu	NF	no factor TF: 1-59
2002-12-25	-anonymous-	NF-PM1	B1=4290000000
2002-10-19	Alex Kruppa	NF	no factor TF: 1-57
2002-09-29	Alex Kruppa	NF	no factor TF: 1-57
2002-09-14	-anonymous-	NF-PM1	B1=3221225472, B2=4290000000, E=48
2002-08-03	-anonymous-	NF-PM1	B1=2147483648, B2=4290000000, E=48
2002-05-25	-anonymous-	NF-PM1	B1=1073741824, B2=4290000000
2001-05-20	-anonymous-	NF-PM1	B1=3000000000, B2=4290000000
2001-02-11	-anonymous-	NF-PM1	B1=10000, B2=1000000
2001-02-11	-anonymous-	NF-PM1	B1=1000000, B2=100000000
2000-07-17	-anonymous-	NF	no factor TF: 1-56
2000-01-25	-anonymous-	NF	no factor TF: 54-55
1998-08-24	-anonymous-	NF	no factor TF: 50-53
1998-07-29	-anonymous-	NF	no factor TF: 50-51

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