Search: id:A000229
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%I A000229 M2684 N1074
%S A000229 3,7,23,71,311,479,1559,5711,10559,18191,31391,422231,701399,366791,
%T A000229 3818929,9257329,22000801,36415991,48473881,175244281,120293879,
%U A000229 427733329,131486759
%N A000229 a(n) is the least number such that the n-th prime is the least quadratic 
               nonresidue for a(n) (a(n) is always a prime).
%D A000229 H. J. Godwin, On the least quadratic non-residue, Proc. Camb. Phil. Soc., 
               61 (1965), 671-672.
%D A000229 Hans Sali\'e, \"Uber die kleinste Primzahl, die eine gegebene Primzahl 
               als kleinsten positiven quadratischen Nichtrest hat, Math. Nachr. 
               29 1965 113-114.
%D A000229 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A000229 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%H A000229 N. J. A. Sloane, <a href="b000229.txt">Table of n, a(n) for n=1..38</
               a> (from the web page of Tomas Oliveira e Silva)
%H A000229 Tomas Oliveira e Silva, <a href="http://www.ieeta.pt/~tos/p-roots.html">
               Least primitive root of prime numbers</a>
%e A000229 a(2)=7 because the second prime is 3 and 3 is the least quadratic nonresidue 
               for 7, 14, 17, 31, 34, ... and 7 is the least of these.
%Y A000229 Cf. A025021. For records see A133435.
%Y A000229 Differs from A001984, A002223, A045535 at 12th term.
%Y A000229 Sequence in context: A140456 A066768 A062241 this_sequence A133435 A079061 
               A148704
%Y A000229 Adjacent sequences: A000226 A000227 A000228 this_sequence A000230 A000231 
               A000232
%K A000229 nonn,nice,easy
%O A000229 1,1
%A A000229 N. J. A. Sloane (njas(AT)research.att.com).
%E A000229 Definition corrected by Melvin J. Knight (MELVIN.KNIGHT(AT)ITT.COM), 
               Dec 08 2006

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