

A054503


Table T(n,k) giving log_b(k), 1<=k<=p, where p = nth prime and b = smallest primitive root of p (A001918).


10



0, 0, 1, 0, 1, 3, 2, 0, 2, 1, 4, 5, 3, 0, 1, 8, 2, 4, 9, 7, 3, 6, 5, 0, 1, 4, 2, 9, 5, 11, 3, 8, 10, 7, 6, 0, 14, 1, 12, 5, 15, 11, 10, 2, 3, 7, 13, 4, 9, 6, 8, 0, 1, 13, 2, 16, 14, 6, 3, 8, 17, 12, 15, 5, 7, 11, 4, 10, 9, 0, 2, 16, 4, 1, 18, 19, 6, 10, 3, 9, 20, 14, 21, 17, 8, 7, 12, 15, 5, 13, 11
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OFFSET

0,6


REFERENCES

T. M. Apostol, Introduction to Analytic Number Theory, SpringerVerlag, Table 10.2, pp. 216217.


LINKS

Table of n, a(n) for n=0..90.


EXAMPLE

Triangle starts:
0;
0,1;
0,1,3,2;
0,2,1,4,5,3;
0,1,8,2,4,9,7,3,6,5;
...


MATHEMATICA

T[n_, k_] := Module[{p, b, lg = 1}, b = PrimitiveRoot[p = Prime[n]]; While[ PowerMod[b, lg, p] != k , lg++]; lg]; T[_, 1] = 0; Table[T[n, k], {n, 1, 10}, {k, 1, Prime[n]  1}] // Flatten (* JeanFrançois Alcover, Sep 03 2016 *)


CROSSREFS

Columns of table give A054505A054513.
Sequence in context: A195662 A112606 A108512 * A281451 A246863 A227864
Adjacent sequences: A054500 A054501 A054502 * A054504 A054505 A054506


KEYWORD

nonn,tabf,nice,easy


AUTHOR

N. J. A. Sloane, Apr 08 2000


EXTENSIONS

More terms from James A. Sellers, Apr 09 2000


STATUS

approved



