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%I M3953 N1632 #27 Feb 04 2022 02:01:53
%S 5,29,29,29,29,29,29,29,23669,23669,23669,23669,23669,23669,1508789,
%T 5025869,9636461,9636461,9636461,37989701,37989701,37989701,37989701,
%U 37989701,240511301,240511301
%N Let p be the n-th odd prime. a(n) is the least prime congruent to 5 modulo 8 such that Legendre(-a(n), q) = -Legendre(-2, q) for all odd primes q <= p.
%C Numbers so far are all congruent to 5 (mod 24). - _Ralf Stephan_, Jul 07 2003
%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H D. H. Lehmer, E. Lehmer and D. Shanks, <a href="https://doi.org/10.1090/S0025-5718-1970-0271006-X">Integer sequences having prescribed quadratic character</a>, Math. Comp., 24 (1970), 433-451.
%H D. H. Lehmer, E. Lehmer and D. Shanks, <a href="/A002189/a002189.pdf">Integer sequences having prescribed quadratic character</a>, Math. Comp., 24 (1970), 433-451 [Annotated scanned copy]
%o (PARI) isok(p, oddpn) = {forprime(q=3, oddpn, if (kronecker(p, q) != -kronecker(-2, q), return (0));); return (1);}
%o a(n) = {oddpn = prime(n+1); forprime(p=3, , if ((p%8) == 5, if (isok(p, oddpn), return (p));););} \\ _Michel Marcus_, Oct 18 2017
%Y Cf. A001988.
%K nonn
%O 1,1
%A _N. J. A. Sloane_
%E Better name from _Sean A. Irvine_, Mar 06 2013
%E Name and offset corrected by _Michel Marcus_, Oct 18 2017
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