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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. Erdős 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

Table of n, a(n) for n=2..7.

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

N. J. A. Sloane

STATUS

approved

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Last modified May 23 19:46 EDT 2017. Contains 286926 sequences.