3 607 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
162160065980366340636967897279169391509046358190713	51	166.8	2016-07-24 10:57:28

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	21454 / 40830

Estimated T-Level: 52.6 ⓘ

TF below 2^170 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift	Software
Factored		Unknown	4A32	0	Unknown,(aka U)
Factored		George Woltman	406DF1989B184A32	0	Woltman,Prime95,first web release,(aka W4)
Factored		Brian J. Beesley	406DF1989B184A32	0	Mac,John Sweeney,v1.4,(aka J3)
Factored	2015-04-11	MadPoo 🙂	406DF1989B184A32	1533	Windows 64-bit,Prime95,v26,(aka We4)

PRP Cofactor

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	39CC16AEC0691EAA	1	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	39CC16AEC0691EAA	1	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	39CC16AEC0691EAA	1	3488	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	46E57267EC5B3DB6	1	156	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	46E57267EC5B3DB6	1	790	5	3

History

Date	User	Type	Result
2025-05-03	masser	NF-PP1	Start=96/11, B1=3100000000, B2=3096900000000
2024-02-03	Wentao Huang	C-PRP	M3607/162160065980366340636967897279169391509046358190713 : 46E57267EC5B3DB6
2023-02-24	mikr	NF-PM1	B1=500000000000, B2=2621504102555888550
2020-04-17	Oliver Kruse	C-PRP	M3607/162160065980366340636967897279169391509046358190713 : 46E57267EC5B3DB6
2017-12-07	ATH	C-PRP	M3607/162160065980366340636967897279169391509046358190713 : 39CC16AEC0691EAA
2017-10-02	kkmrkkblmbrbk	C-PRP	M3607/162160065980366340636967897279169391509046358190713 : 39CC16AEC0691EAA
2017-09-21	Oliver Kruse	C-PRP	M3607/known_factors : 39CC16AEC0691EAA
2016-07-24	BloodIce	F-ECM	Factor: 162160065980366340636967897279169391509046358190713
2016-05-27	alex	NF-PM1	B1=400000000000, B2=36000000000000, E=12
2016-05-17	-anonymous-	NF-PM1	B1=400000000000, B2=4000000000000, E=12
2016-05-08	-anonymous-	NF-PM1	B1=200000000000, B2=2000000000000, E=12
2016-05-08	-anonymous-	NF-PM1	B1=100000000000, B2=1000000000000, E=12
2016-02-23	LaurV	NF	no factor TF: 57-58
2015-07-16	snme2pm1	NF	no factor TF: 61-62
2015-04-11	MadPoo 🙂	C-LL	406DF1989B184A32
2015-01-25	mikr	NF-PM1	B1=20000000000, B2=1800000000000, E=12
2012-09-29	bcp19	NF	no factor TF: 60-61
2011-04-19	Joss	NF-PM1	B1=10000000000
2011-01-26	monst	NF	no factor TF: 58-60
2003-02-16	Alex Kruppa	NF	no factor TF: 1-57
2003-02-02	-anonymous-	NF	no factor TF: 1-57
2002-12-31	-anonymous-	NF-PM1	B1=4290000000
2002-09-14	-anonymous-	NF-PM1	B1=3221225472, B2=4290000000, E=48
2002-08-03	-anonymous-	NF-PM1	B1=2147483648, B2=4290000000, E=48
2002-06-02	-anonymous-	NF-PM1	B1=1073741824, B2=4290000000
2001-06-09	-anonymous-	NF-PM1	B1=43000000, B2=4290000000
2001-06-09	-anonymous-	NF-PM1	B1=3000000000, B2=4290000000
2001-02-11	-anonymous-	NF-PM1	B1=1000000, B2=100000000
2000-08-17	-anonymous-	NF	no factor TF: 1-56
2000-02-09	-anonymous-	NF	no factor TF: 54-55
1999-12-23	-anonymous-	NF	no factor TF: 53-54
1999-09-22	-anonymous-	NF	no factor TF: 52-53

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