A078390 Composite numbers which can be written as sum of a positive square and a positive cube.

9, 10, 12, 24, 26, 28, 33, 36, 44, 50, 52, 57, 63, 65, 68, 72, 76, 80, 82, 91, 100, 108, 122, 126, 128, 129, 134, 141, 145, 148, 150, 152, 161, 164, 170, 171, 174, 177, 185, 189, 196, 204, 206, 208, 217, 220, 225, 226, 232, 246, 252, 260, 264, 265, 280, 289

Offset

1,1

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Example

A002808(74) = 100 = 6^2 + 4^3, therefore 100 is a term.

Mathematica

Select[Range[300], CompositeQ[#] && Length[Reduce[a^2 + b^3 == # && a > 0 && b > 0, {a, b}, Integers]] > 0 &] (* Amiram Eldar, Mar 27 2025 *)

Crossrefs

Intersection of A002808 and A055394.

Cf. A066649.

Sequence in context: A343258 A078459 A156345 * A354038 A216780 A279731

Adjacent sequences: A078387 A078388 A078389 * A078391 A078392 A078393

Keyword

nonn

Author

Reinhard Zumkeller, Nov 25 2002

Status

approved