A318932 Numbers k such that the Diophantine equation y^2 - k = x^3 has a solution.

1, 2, 3, 4, 5, 8, 9, 10, 12, 15, 16, 17, 18, 19, 22, 24, 25, 26, 27, 28, 30, 31, 33, 35, 36, 37, 38, 40, 41, 43, 44, 48, 49, 50, 52, 54, 55, 56, 57, 63, 64, 65, 68, 71, 72, 73, 76, 79, 80, 81, 82, 89, 91, 92, 94, 97, 98, 99, 100, 101, 105, 106, 107, 108, 112, 113, 117

Offset

1,2

Comments

Hemer gives all values of k <= 100.

Numbers k such that Mordell's equation y^2 = x^3 + k has integral solutions. - Giorgos Kalogeropoulos, Mar 04 2021

Links

Hugo Pfoertner, Table of n, a(n) for n = 1..1000

Ove Hemer, Notes on the diophantine equation y^2 - k = x^3, Arkiv för Matematik 3.1 (1954): 67-77.

Crossrefs

Complement of A054504.

Cf. A081119, A318933.

Sequence in context: A260113 A005792 A270430 * A259185 A102471 A243490

Adjacent sequences: A318929 A318930 A318931 * A318933 A318934 A318935

Keyword

nonn

Author

N. J. A. Sloane, Sep 12 2018

Extensions

More terms from Giorgos Kalogeropoulos, Mar 04 2021

Status

approved