A057903 - OEIS

A057903

Positive integers that are not the sum of exactly two positive cubes.

1, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 29, 30, 31, 32, 33, 34, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 66, 67, 68, 69, 70, 71, 73, 74, 75, 76, 77, 78, 79

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OFFSET

1,2

COMMENTS

Includes the cubes themselves (since a^3 = b^3 + c^3 has no solution, by the exponent 3 case of Fermat's Last Theorem), so is different from A022555.

LINKS

Table of n, a(n) for n=1..71.

Eric Weisstein's World of Mathematics, Cubic number.

FORMULA

Equals A022555 union A000578 - {0}.

MATHEMATICA

pr[n_] := Select[ PowersRepresentations[n, 2, 3], FreeQ[#, 0]& ]; Select[ Range[80], pr[#] == {} &] (* Jean-François Alcover, Nov 08 2012 *)