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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; internal format)
OFFSET

2,1

REFERENCES

J. Brillhart, D. H. Lehmer and E. Lehmer, Bounds for pairs of consecutive seventh and higher power residues, Math. Comp. 18 (1964), 397-407.

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.

J. H. Jordan, Pairs of consecutive power residues or nonresidues, Canad. J. Math., 16 (1964), 310-314.

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).

EXAMPLE

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).

CROSSREFS

Cf. A000236.

Sequence in context: A190981 A046150 A124131 * A046196 A190980 A123918

Adjacent sequences:  A000442 A000443 A000444 * A000446 A000447 A000448

KEYWORD

nonn,nice,more

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 17 10:05 EST 2012. Contains 206009 sequences.