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Search: id:A002308
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| A002308 |
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Consecutive quadratic nonresidues mod p.
(Formerly M0274 N0097)
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+0
3
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| 0, 1, 2, 2, 3, 4, 3, 4, 4, 3, 4, 4, 5, 5, 4, 6, 5, 6, 6, 6, 4, 6, 7, 6, 6, 5, 7, 6, 10, 4, 7, 8, 5, 5, 6, 7, 5, 6, 6, 5, 6, 6, 6, 5, 5, 6, 7, 7, 7, 6, 7, 6, 5, 7, 6, 7, 9, 7, 7, 7, 9, 5, 7, 10, 7, 7, 8, 7, 8, 6, 8, 8, 9, 5, 8, 8, 5, 8, 9, 7, 8, 12, 6, 7, 10, 8, 9, 9, 7, 8, 11, 12, 8, 8, 10, 8, 7, 6, 10, 10, 9, 7, 10, 9, 7, 6, 9
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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a(n)=maximal number of positive reduced quadratic nonresidues which appear consecutively for n-th prime.
When prime(n) == 3 (mod 4), then a(n)=A002307(n). - T. D. Noe, Apr 03 2007
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
A. A. Bennett, Consecutive quadratic residues, Bull. Amer. Math. Soc., 32 (1926), 283-284.
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..10000
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CROSSREFS
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Cf. A002307.
Cf. A129201
Adjacent sequences: A002305 A002306 A002307 this_sequence A002309 A002310 A002311
Sequence in context: A014656 A003078 A165359 this_sequence A056796 A061295 A081742
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KEYWORD
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nonn,easy,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from David W. Wilson (davidwwilson(AT)comcast.net)
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