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 A091968 Primes congruent to 3 (mod 16). 9
 3, 19, 67, 83, 131, 163, 179, 211, 227, 307, 419, 467, 499, 547, 563, 643, 659, 691, 739, 787, 883, 947, 1091, 1123, 1171, 1187, 1283, 1427, 1459, 1523, 1571, 1619, 1667, 1699, 1747, 1811, 1907, 1987, 2003, 2083, 2099, 2131, 2179, 2243, 2339, 2371, 2467 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS 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 REFERENCES L. J. Mordell, Diophantine Equations, Ac. Press, p. 23. Trygve Nagell, Introduction to Number Theory, Chelsea Publishing Company, NY, 1964, p. 230. LINKS T. D. Noe, Table of n, a(n) for n = 1..1000 MATHEMATICA Select[Prime@Range[400], Mod[ #, 16] == 3 &] (* Ray Chandler, Dec 06 2006 *) PROG (PARI) is(n)=isprime(n) && n%16==3 \\ Charles R Greathouse IV, Jul 01 2016 CROSSREFS Cf. A092022, A093012. Sequence in context: A178747 A071245 A297744 * A158714 A064056 A211061 Adjacent sequences:  A091965 A091966 A091967 * A091969 A091970 A091971 KEYWORD nonn,easy AUTHOR Giovanni Teofilatto, Mar 14 2004 EXTENSIONS More terms from Ray Chandler, Mar 15 2004 STATUS approved

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Last modified June 7 02:48 EDT 2020. Contains 334836 sequences. (Running on oeis4.)