A356709 Numbers k such that Mordell's equation y^2 = x^3 + k^3 has exactly 1 integral solution.

3, 5, 6, 12, 13, 15, 17, 19, 20, 24, 27, 29, 30, 31, 39, 41, 42, 43, 45, 47, 48, 51, 52, 53, 54, 55, 58, 59, 60, 61, 62, 66, 67, 68, 69, 73, 75, 76, 77, 79, 80, 82, 83, 85, 87, 89, 93, 94, 96, 97, 101, 102, 103, 106, 107, 108, 109, 111, 113, 115, 116, 117, 118, 119

Offset: 1

Author

Jianing Song, Aug 23 2022

Keywords

• nonn

Comments

Numbers k such that Mordell's equation y^2 = x^3 + k^3 has no solution other than the trivial solution (-k,0).

Cube root of A179145.

Examples

			3 is a term since the equation y^2 = x^3 + 3^3 has no solution other than (-3,0).
		

Links

• Jianing Song, Table of n, a(n) for n = 1..115 (using the b-file of A356720, which is based on the data from A103254)

Crossrefs

Cf. A081119, A179145, A179147, A179149, A179151, A356710, A356711, A356712.

Indices of 1 in A356706, of 0 in A356707, and of 1 in A356708.

Complement of A356720.

Cf. also A356713, A228948.