%I
%S 3,11,17,19,29,43,53,61,67,73,97,109,157,163,193,277,397
%N Primes that can be represented exactly in one way as a^2 + b^2 + c^2, 0 < a <= b <= c.
%C Note that there are no primes = 7 mod 8.
%C This sequence is probably complete. Is there a proof?
%C There are no more terms < 10^7.  _Donovan Johnson_, Mar 22 2012
%e {p,a,b,c}: {3,1,1,1}, {11,1,1,3}, {17,2,2,3}, {19,1,3,3}, {29,2,3,4}, {43,3,3,5}, {53,1,4,6}, {61,3,4,6}, {67,3,3,7}, {73,1,6,6}, {97,5,6,6}, {109,3,6,8}, {157,2,3,12}, {163,1,9,9}, {193,6,6,11}, {277,4,6,15}, {397,3,8,18}.
%Y Cf. A181786, A210338.
%K nonn
%O 1,1
%A _Zak Seidov_, Mar 20 2012
