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A365127
Numbers that are the sum of a prime number and a fourth power of a nonnegative integer.
3
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
1,1
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}]]
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Aug 24 2023
STATUS
approved