6 577 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
789788513056621835547617455039685666797407894620591	51	169.1	old

ECM

Estimated T-Level: 47.6 ⓘ

TF below 2^153 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	5AD446A287EB76C4	1	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	5AD446A287EB76C4	1	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	5AD446A287EB76C4	1	1094	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	04BE19D5AF0AD45F	1	3550	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	04BE19D5AF0AD45F	1	6269	5	3

History

Date	User	Type	Result
2025-05-27	masser	NF-PP1	Start=72/11, B1=1500000000, B2=1498500000000
2024-02-03	Wentao Huang	C-PRP	M6577/789788513056621835547617455039685666797407894620591 : 04BE19D5AF0AD45F
2023-08-09	-anonymous-	NF-PM1	B1=37000000000, B2=148599418701633900
2021-12-17	Oliver Kruse	NF-PM1	B1=1000000000, B2=1003954060639530
2020-04-17	Oliver Kruse	C-PRP	M6577/789788513056621835547617455039685666797407894620591 : 04BE19D5AF0AD45F
2017-12-07	ATH	C-PRP	M6577/789788513056621835547617455039685666797407894620591 : 5AD446A287EB76C4
2017-10-02	kkmrkkblmbrbk	C-PRP	M6577/789788513056621835547617455039685666797407894620591 : 5AD446A287EB76C4
2017-09-21	Oliver Kruse	C-PRP	M6577/known_factors : 5AD446A287EB76C4
2003-02-09	-anonymous-	NF-PM1	B1=4290000000
2002-12-31	-anonymous-	NF	no factor TF: 1-57
2002-10-07	-anonymous-	NF-PM1	B1=3221225472, B2=4290000000, E=48
2002-08-17	-anonymous-	NF-PM1	B1=2147483648, B2=4290000000, E=48
2002-06-02	-anonymous-	NF-PM1	B1=1073741824, B2=4290000000, E=48
2001-08-18	-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
2000-07-25	-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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