A365127 Numbers that are the sum of a prime number and a fourth power of a nonnegative integer.

2, 3, 4, 5, 6, 7, 8, 11, 12, 13, 14, 17, 18, 19, 20, 21, 23, 24, 27, 29, 30, 31, 32, 33, 35, 37, 38, 39, 41, 42, 43, 44, 45, 47, 48, 53, 54, 57, 59, 60, 61, 62, 63, 67, 68, 69, 71, 72, 73, 74, 75, 77, 79, 80, 83, 84, 86, 87, 88, 89, 90, 92, 94, 95, 97, 98, 99, 100

Offset: 1

Author

Ilya Gutkovskiy, Aug 24 2023

Keywords

• nonn

Crossrefs

Cf. A014089, A307646, A365126, A365166, A365168.

Programs

Mathematica

nmax = 100; f[x_] := Sum[x^Prime[i], {i, 1, nmax}] Sum[x^j^4, {j, 0, nmax^(1/4)}]; Exponent[#, x] & /@ List @@ Normal[Series[f[x], {x, 0, nmax}]]