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A002308 Consecutive quadratic nonresidues mod p.
(Formerly M0274 N0097)
+0
3
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)
OFFSET

1,3

COMMENT

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

REFERENCES

A. A. Bennett, Consecutive quadratic residues, Bull. Amer. Math. Soc., 32 (1926), 283-284.

LINKS

T. D. Noe, Table of n, a(n) for n=1..10000

CROSSREFS

Cf. A002307.

Cf. A129201

Sequence in context: A075765 A014656 A003078 this_sequence A056796 A061295 A081742

Adjacent sequences: A002305 A002306 A002307 this_sequence A002309 A002310 A002311

KEYWORD

nonn,easy,nice

AUTHOR

njas

EXTENSIONS

More terms from David W. Wilson (davidwwilson(AT)comcast.net)

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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