4 597 Exponent Status

PrimeNet Exponent Status

M_n

Details

Composite, with 5 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
27583	5	14.8	old
73553	5	16.2	old
93769607	8	26.5	old
116579921	9	26.8	old
14631164828130204368519	23	73.6	old

ECM

Estimated T-Level: 51.8 ⓘ

TF below 2^167 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	23A04D67B7A52BB5	5	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	23A04D67B7A52BB5	5	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	23A04D67B7A52BB5	5	78	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	6C1BA43C92D840A0	5	3615	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	6C1BA43C92D840A0	5	3223	5	3

History

Date	User	Type	Result
2025-05-18	masser	NF-PP1	Start=166/71, B1=2100000000, B2=2097900000000
2024-02-03	Wentao Huang	C-PRP	M4597/27583/73553/93769607/116579921/14631164828130204368519 : 6C1BA43C92D840A0
2023-05-25	-anonymous-	NF-PM1	B1=69000000000, B2=691971895408493700
2021-07-07	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M4597/27583/73553/93769607/116579921/14631164828130204368519 : 6C1BA43C92D840A0
2017-12-07	ATH	C-PRP	M4597/27583/73553/93769607/116579921/14631164828130204368519 : 23A04D67B7A52BB5
2017-10-02	kkmrkkblmbrbk	C-PRP	M4597/27583/73553/93769607/116579921/14631164828130204368519 : 23A04D67B7A52BB5
2017-09-21	Oliver Kruse	C-PRP	M4597/known_factors : 23A04D67B7A52BB5
2004-10-18	-anonymous-	F	Factor: 190240941330957193
2004-10-18	-anonymous-	F	Factor: 22178273911328624414321753
2004-10-18	-anonymous-	F	Factor: 14631164828130204368519
2004-10-18	-anonymous-	F	Factor: 236518789199240479
2002-10-26	-anonymous-	F	Factor: 22178273911328624414321753
2002-10-26	-anonymous-	F	Factor: 14631164828130204368519
2002-10-26	-anonymous-	F	Factor: 190240941330957193
2002-10-26	-anonymous-	F	Factor: 236518789199240479
2002-08-03	-anonymous-	F	Factor: 14631164828130204368519
2002-08-03	-anonymous-	F	Factor: 22178273911328624414321753
2002-08-03	-anonymous-	F	Factor: 236518789199240479
2002-08-03	-anonymous-	F	Factor: 190240941330957193

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