A356710 Numbers k such that Mordell's equation y^2 = x^3 + k^3 has exactly 3 integral solutions.

7, 11, 21, 22, 23, 26, 34, 35, 38, 44, 46, 63, 71, 74, 86, 92, 95, 99, 110, 122, 129, 136, 152, 155, 158, 170, 175, 177, 183, 189, 190, 198, 201, 203, 207, 211

Offset: 1

Author

Jianing Song, Aug 23 2022

Keywords

• nonn
• hard
• more

Comments

Cube root of A179147.

Examples

			7 is a term since the equation y^2 = x^3 + 7^3 has 3 solutions (-7,0) and (21,+-98).
		

Crossrefs

Cf. A081119, A179145, A179147, A179149, A179151, A356709, A356711, A356712.

Indices of 3 in A356706, of 1 in A356707, and of 2 in A356708.

Extensions

a(30)-a(36) from Max Alekseyev, Jun 01 2023