Search: id:A000445
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%I A000445 M4652 N1991
%S A000445 9,77,1224,7888,202124,1649375
%N A000445 First occurrences of 2 consecutive n-th power residues.
%D A000445 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A000445 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A000445 J. Brillhart, D. H. Lehmer and E. Lehmer, Bounds for pairs of consecutive 
               seventh and higher power residues, Math. Comp. 18 (1964), 397-407.
%D A000445 J. H. Jordan, Pairs of consecutive power residues or nonresidues, Canad. 
               J. Math., 16 (1964), 310-314.
%D A000445 W. H. Mills, Bounded consecutive residues and related problems, pp. 170-174 
               of A. L. Whiteman, ed., Theory of Numbers, Proc. Sympos. Pure Math., 
               8 (1965). Amer. Math. Soc.
%D A000445 P. Erd\"{o}s and R. L. Graham, Old and New Problems and Results in Combinatorial 
               Number Theory. L'Enseignement Math., Geneva, 1980, p. 87.
%e A000445 Every large prime has a pair of consecutive quadratic (n=2) residues 
               which appear not later than 9,10, so a(2)=9 - comment from Len Smiley 
               (smiley(AT)math.uaa.alaska.edu).
%Y A000445 Cf. A000236.
%Y A000445 Sequence in context: A126631 A046150 A124131 this_sequence A046196 A123918 
               A044577
%Y A000445 Adjacent sequences: A000442 A000443 A000444 this_sequence A000446 A000447 
               A000448
%K A000445 nonn,nice,more
%O A000445 2,1
%A A000445 N. J. A. Sloane (njas(AT)research.att.com).

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