5 309 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
4379627179880971499877583266262615461322386849281	49	161.6	2010-02-15 15:03:27

ECM

Estimated T-Level: 51.4 ⓘ

TF below 2^166 is very unlikely to find new factors due to ECM effort.

Status	User	Residue	Software
Factored	Unknown	40EF	Unknown,(aka U)
Factored	George Woltman	A67369308699C0EF	Woltman,Prime95,first web release,(aka W4)
Factored	Brian J. Beesley	A67369308699C0EF	Mac,John Sweeney,v1.4,(aka J3)

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	BEAC324F59015A3B	1	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	BEAC324F59015A3B	1	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	BEAC324F59015A3B	1	2926	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	5D26F74084D84C72	1	559	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	5D26F74084D84C72	1	3268	5	3

History

Date	User	Type	Result
2025-04-29	masser	NF-PP1	Start=131/17, B1=2100000000, B2=2097900000000
2024-02-03	Wentao Huang	C-PRP	M5309/4379627179880971499877583266262615461322386849281 : 5D26F74084D84C72
2023-07-02	-anonymous-	NF-PM1	B1=59000000000, B2=241667483419362000
2022-01-24	Ethan O'Connor	NF-PM1	B1=1395865000
2020-04-17	Oliver Kruse	C-PRP	M5309/4379627179880971499877583266262615461322386849281 : 5D26F74084D84C72
2017-12-07	ATH	C-PRP	M5309/4379627179880971499877583266262615461322386849281 : BEAC324F59015A3B
2017-10-02	kkmrkkblmbrbk	C-PRP	M5309/4379627179880971499877583266262615461322386849281 : BEAC324F59015A3B
2017-09-21	Oliver Kruse	C-PRP	M5309/known_factors : BEAC324F59015A3B
2010-02-15	-anonymous-	F-ECM	Factor: 4379627179880971499877583266262615461322386849281
2003-01-16	-anonymous-	NF-PM1	B1=4290000000
2002-12-31	-anonymous-	NF	no factor TF: 1-57
2002-09-29	-anonymous-	NF-PM1	B1=3221225472, B2=4290000000, E=48
2002-08-10	-anonymous-	NF-PM1	B1=2147483648, B2=4290000000, E=48
2002-06-02	-anonymous-	NF-PM1	B1=1073741824, B2=4290000000, E=48
2001-07-17	-anonymous-	NF-PM1	B1=3000000000, B2=4290000000
2001-06-17	-anonymous-	NF-PM1	B1=43000000, B2=4290000000
2001-02-11	-anonymous-	NF-PM1	B1=1000000, B2=100000000
2000-08-17	-anonymous-	NF	no factor TF: 1-56
2000-02-16	-anonymous-	NF	no factor TF: 54-55
1999-12-30	-anonymous-	NF	no factor TF: 53-54
1999-09-22	-anonymous-	NF	no factor TF: 52-53

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