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Odd positive integers that are not the sum of four positive squares.
1

%I #12 Nov 16 2024 18:16:15

%S 1,3,5,9,11,17,29,41

%N Odd positive integers that are not the sum of four positive squares.

%D J. H. Conway, The Sensual (Quadratic) Form, M.A.A., 1997, p. 140.

%D L. E. Dickson, History of the Theory of Numbers. Carnegie Institute Public. 256, Washington, DC, Vol. 1, 1919; Vol. 2, 1920; Vol. 3, 1923, see vol. 2, p. 302.

%t sm4=Union[Total/@Tuples[Range[10]^2,4]];Select[Range[1,100,2],!MemberQ[sm4,#]&] (* _James C. McMahon_, Nov 15 2024 *)

%Y Odd terms of A000534.

%K nonn,fini,full

%O 1,2

%A _N. J. A. Sloane_, Sep 27 2006