cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A216408 Perfect squares which can be written neither as a^2+b^2, nor as a^2+2*b^2, nor as a^2+3*b^2, nor as a^2+7*b^2, with a > 0 and b > 0.

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%I A216408 #15 Sep 19 2012 18:13:23
%S A216408 1,2209,27889,96721,146689,229441,253009,418609,516961,703921,786769,
%T A216408 966289,1324801,1495729,1739761,2211169,2283121,2430481,3323329,
%U A216408 3411409,4255969,4879681,5527201,5755201,7091569,7219969,8427409,8994001,9138529,10029889,10182481,11282881,11607649,12439729,13476241,14922769,15295921
%N A216408 Perfect squares which can be written neither as a^2+b^2, nor as a^2+2*b^2, nor as a^2+3*b^2, nor as a^2+7*b^2, with a > 0 and b > 0.
%C A216408 If a composite number C, in case, can be written in the form C = a^2+k*b^2, for some integers a & b, then every prime factor P (for C) being raised to an odd power can be written in the form P = c^2+k*d^2, for some integers c & d.
%C A216408 This statement is only true for k = 1, 2, 3.
%C A216408 For k = 7, with the exception of the prime factor 2, the statement mentioned above is true.
%Y A216408 Cf. A216451, A216500, A216501, A216671, A216679, A216680, A216682
%K A216408 nonn
%O A216408 1,2
%A A216408 _V. Raman_, Sep 17 2012