A356709 - OEIS

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

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OFFSET

1,1

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.

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)

EXAMPLE

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

CROSSREFS

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