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

Author

Reinhard Zumkeller, Nov 25 2002

Keywords

• nonn

Examples

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

Links

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

Crossrefs

Intersection of A002808 and A055394.

Cf. A066649.

Programs

Mathematica

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