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Numbers k such that Mordell's equation y^2 = x^3 + k^3 has exactly 3 integral solutions.
7

%I #10 Jun 02 2023 01:57:00

%S 7,11,21,22,23,26,34,35,38,44,46,63,71,74,86,92,95,99,110,122,129,136,

%T 152,155,158,170,175,177,183,189,190,198,201,203,207,211

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

%C Cube root of A179147.

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

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

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

%K nonn,hard,more

%O 1,1

%A _Jianing Song_, Aug 23 2022

%E a(30)-a(36) from _Max Alekseyev_, Jun 01 2023