

A274050


Numbers that cannot be expressed as the sum of two nonzero squares and at most one power of two.


2



1, 23, 71, 79, 95, 135, 142, 143, 167, 190, 191, 211, 215, 239, 255, 284, 286, 287, 303, 311, 323, 331, 343, 359, 380, 382, 383, 415, 419, 430, 431, 439, 455, 471, 475, 499, 503, 519, 527, 568, 572, 574, 575, 583, 591, 599, 622, 623, 646, 647, 671, 683, 695
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OFFSET

1,2


COMMENTS

The number 1 is considered a power of two.


LINKS



MATHEMATICA

nR[n_] := (SquaresR[2, n] + Plus @@ Pick[{4, 4}, IntegerQ /@ Sqrt[{n, n/2}]])/8; bad[n_] := nR[n] == 0 && Block[{k = 1}, While[k < n && nR[n  k] == 0, k *= 2]; k >= n]; Select[Range@ 1000, bad]


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



