%I
%S 2,5,7,13,23,31,37,47,71,79,103,127,151,167,191,199,223,239,263,271,
%T 311,359,367,383,431,439,463,479,487,503,599,607,631,647,719,727,743,
%U 751,823,839,863,887,911,919,967,983,991
%N Primes that are not the sum of three positive squares.
%C Except for primes 2, 5, 13 and 37, this sequence consists all primes p such that p = 7 (mod 8). The density of these primes is 0.25.
%H Chai Wah Wu, <a href="/A094712/b094712.txt">Table of n, a(n) for n = 1..10000</a>
%t lst={}; lim=32; Do[n=a^2+b^2+c^2; If[n<lim^2 && PrimeQ[n], lst=Union[lst, {n}]], {a, lim}, {b, a, Sqrt[lim^2a^2]}, {c, b, Sqrt[lim^2a^2b^2]}]; Complement[Prime[Range[PrimePi[lst[[ 1]]]]], lst]
%Y Cf. A085317 (primes that are the sum of three positive squares).
%K nonn
%O 1,1
%A _T. D. Noe_, May 21 2004
