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Primes congruent to 3 (mod 16).
9

%I #25 Jul 01 2016 22:50:58

%S 3,19,67,83,131,163,179,211,227,307,419,467,499,547,563,643,659,691,

%T 739,787,883,947,1091,1123,1171,1187,1283,1427,1459,1523,1571,1619,

%U 1667,1699,1747,1811,1907,1987,2003,2083,2099,2131,2179,2243,2339,2371,2467

%N Primes congruent to 3 (mod 16).

%C For any n, the equations x^4 - y^4 = a(n)*z^2 and x^4 - a(n)^2*y^4 = z^2 are not solvable in natural numbers. - _Arkadiusz Wesolowski_, Aug 15 2013

%D L. J. Mordell, Diophantine Equations, Ac. Press, p. 23.

%D Trygve Nagell, Introduction to Number Theory, Chelsea Publishing Company, NY, 1964, p. 230.

%H T. D. Noe, <a href="/A091968/b091968.txt">Table of n, a(n) for n = 1..1000</a>

%t Select[Prime@Range[400], Mod[ #, 16] == 3 &] (* _Ray Chandler_, Dec 06 2006 *)

%o (PARI) is(n)=isprime(n) && n%16==3 \\ _Charles R Greathouse IV_, Jul 01 2016

%Y Cf. A092022, A093012.

%K nonn,easy

%O 1,1

%A _Giovanni Teofilatto_, Mar 14 2004

%E More terms from _Ray Chandler_, Mar 15 2004