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%I #14 Aug 19 2020 16:00:54
%S 16,32,36,48,52,64,68,72,80,81,84,88,96,97,100,104,108,112,113,116,
%T 117,120,124,128,129,132,133,136,140,144,145,148,149,152,153,160,161,
%U 162,164,165,168,169,172,176,177,178,180,181,184,185,188,189,192,193
%N Numbers expressible as the sum of no more than 5 squares of composite numbers, allowing repetitions.
%C 1167 is the largest of the 256 positive integers not in the sequence.
%D R. K. Guy, Unsolved Problems In Number Theory, section C20.
%H R. G. E. Pinch, L. E. Mattics and Emil Grosswald, <a href="https://www.jstor.org/stable/2324696">Solutions to E3262</a>, Amer. Math. Monthly, 97 (No. 3, 1990), 240-242.
%e 52=4^2+6^2, so 52 is in the sequence.
%Y Cf. A002808 (composite numbers).
%K nonn
%O 1,1
%A _Jud McCranie_, Jun 19 2000; corrected Jul 04 2000