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 A000445 First occurrences of 2 consecutive n-th power residues. (Formerly M4652 N1991) 4
 9, 77, 1224, 7888, 202124, 1649375 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,1 REFERENCES P. ErdÅ‘s and R. L. Graham, Old and New Problems and Results in Combinatorial Number Theory. L'Enseignement Math., Geneva, 1980, p. 87. 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. N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence). N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS J. Brillhart, D. H. Lehmer and E. Lehmer, Bounds for pairs of consecutive seventh and higher power residues, Math. Comp. 18 (1964), 397-407. J. H. Jordan, Pairs of consecutive power residues or non-residues, Canad. J. Math., 16 (1964), 310-314. EXAMPLE Every large prime has a pair of consecutive quadratic (n=2) residues which appear not later than 9,10, so a(2)=9. - Len Smiley CROSSREFS Cf. A000236. Sequence in context: A254659 A046150 A124131 * A046196 A231596 A190980 Adjacent sequences:  A000442 A000443 A000444 * A000446 A000447 A000448 KEYWORD nonn,nice,more AUTHOR STATUS approved

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