A226232 Nontrivial prime powers (A025475) which are a sum of a smaller nontrivial prime power and a perfect cube.

9, 16, 128, 243, 512, 841, 1024, 1849, 5041, 6561, 8192, 32041, 65536, 76729, 157609, 177147, 187489, 310249, 524288, 734449, 1104601, 4108729, 4194304, 4782969, 5067001, 7778521, 11498881, 12823561, 31956409, 33554432, 38651089, 65302561, 78552769, 90459121, 129140163

Offset: 1

Author

Alex Ratushnyak, May 31 2013

Keywords

• nonn

Crossrefs

Cf. A025475, A226230, A226231.

Programs

Maple

for n from 1 do
    if isA025475(n) then
        for j from 1 do
            pj := n-j^3 ;
            if pj < 0 then
                break;
            elif isA025475(pj) then
                printf("%d,\n",n);
                break ;
            end if;
        end do:
    end if:
end do: # R. J. Mathar, Jun 06 2013