A356710 - OEIS

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

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OFFSET

1,1

COMMENTS

Cube root of A179147.

LINKS

Table of n, a(n) for n=1..36.

EXAMPLE

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.

Sequence in context: A106674 A184063 A076854 * A194828 A035704 A211436

Adjacent sequences: A356707 A356708 A356709 * A356711 A356712 A356713

KEYWORD

nonn,hard,more

AUTHOR

Jianing Song, Aug 23 2022

EXTENSIONS

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

STATUS

approved