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A063988 Triangle in which n-th row gives quadratic non-residues modulo the n-th prime. +0
2
2, 2, 3, 3, 5, 6, 2, 6, 7, 8, 10, 2, 5, 6, 7, 8, 11, 3, 5, 6, 7, 10, 11, 12, 14, 2, 3, 8, 10, 12, 13, 14, 15, 18, 5, 7, 10, 11, 14, 15, 17, 19, 20, 21, 22, 2, 3, 8, 10, 11, 12, 14, 15, 17, 18, 19, 21, 26, 27, 3, 6, 11, 12, 13, 15, 17, 21, 22, 23, 24, 26, 27, 29, 30, 2, 5, 6, 8, 13, 14 (list; graph; listen)
OFFSET

2,1

LINKS

T. D. Noe, Rows n=2..100 of triangle, flattened

EXAMPLE

Mod the 5-th prime, 11, the quadratic rseidues are 1,3,4,5,9 and the non-residues are 2,6,7,8,10.

2; 2,3; 3,5,6; 2,6,7,8,10; ...

MAPLE

with(numtheory): for n from 1 to 20 do for j from 1 to ithprime(n)-1 do if legendre(j, ithprime(n)) = -1 then printf(`%d, `, j) fi; od: od:

CROSSREFS

Cf. A063987.

Sequence in context: A000358 A032244 A166588 this_sequence A097450 A062303 A050318

Adjacent sequences: A063985 A063986 A063987 this_sequence A063989 A063990 A063991

KEYWORD

nonn,tabf,nice,easy

AUTHOR

Suggested by Gary W. Adamson, Sep 18 2001

EXTENSIONS

More terms from James A. Sellers (sellersj(AT)math.psu.edu), Sep 25 2001

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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