A210338 - OEIS

%I #9 May 01 2013 20:59:23

%S 41,59,83,107,113,137,139,181,197,211,229,283,307,313,317,331,337,373,

%T 379,421,457,499,541,547,577,613,643,709,757,853,877,883,907,1093,1213

%N Primes that can be represented exactly in two ways as a^2 + b^2 + c^2, 0 < a <= b <= c.

%C This sequence is probably complete. Is there a proof of this?

%C There are no more terms < 10^7. - _Donovan Johnson_, Mar 22 2012

%e {p,a,b,c}:

%e {41,1,2,6}, {41,3,4,4}

%e {59,1,3,7}, {59,3,5,5}

%e {83,1,1,9}, {83,3,5,7}

%e {107,1,5,9}, {107,3,7,7}.

%Y Cf. A181786, A210311.

%K nonn

%O 1,1

%A _Zak Seidov_, Mar 20 2012