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A103489 Multiplicative suborder of 3 (mod n) = sord(3, n). 0
0, 0, 1, 0, 1, 2, 0, 3, 2, 0, 2, 5, 0, 3, 3, 0, 4, 8, 0, 9, 4, 0, 5, 11, 0, 10, 3, 0, 3, 14, 0, 15, 8, 0, 8, 12, 0, 9, 9, 0, 4, 4, 0, 21, 10, 0, 11, 23, 0, 21, 10, 0, 6, 26, 0, 20, 6, 0, 14, 29, 0, 5, 15, 0, 16, 12, 0, 11, 16, 0, 12, 35, 0, 6, 9, 0, 9, 30, 0, 39, 4, 0, 4, 41, 0, 16, 21, 0, 10, 44 (list; graph; refs; listen; history; internal format)
OFFSET

0,6

COMMENTS

a(n) is minimum e for which 3^e = +/-1 mod n, or zero if no e exists.

REFERENCES

H. Cohen, Course in Computational Algebraic Number Theory, Springer, 1993, p. 25, Algorithm 1.4.3

LINKS

H. J. Smith, XICalc - Extra Precision Integer Calculator.

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics, Multiplicative Order.

S. Wolfram, Algebraic Properties of Cellular Automata (1984), Appendix B.

Eric Weisstein's World of Mathematics, Suborder Function

CROSSREFS

Sequence in context: A035184 A120854 A035159 * A127479 A187637 A141432

Adjacent sequences:  A103486 A103487 A103488 * A103490 A103491 A103492

KEYWORD

easy,nonn

AUTHOR

Harry J. Smith (hjsmithh(AT)sbcglobal.net), Feb 08 2005

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Last modified February 17 18:34 EST 2012. Contains 206074 sequences.