A368959 Numbers m such that Sum_{k=0..m-1} exp(2*Pi*i*k^s/m) <> 0 for all s>=2.
1, 4, 8, 9, 25, 27, 36, 49, 72, 100, 108, 121, 125, 169, 196, 200, 216, 225, 243, 289, 343, 361, 392, 441, 484, 500, 529, 675, 676, 841, 900, 961, 968, 972, 1000, 1089, 1125, 1156, 1225, 1323, 1331, 1352, 1369, 1372, 1444, 1521, 1681, 1764, 1800, 1849, 1944, 2116, 2197, 2209, 2312, 2401, 2601, 2700, 2744, 2809, 2888
Offset: 1
Keywords
Programs
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Mathematica
Select[Range[1, 200], Product[Abs[Sum[N[E^(2*Pi*I*k^s/#), 100], {k, 0, #-1}]], {s, 2, 200}] > 0 &]
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