Geodesic
Powers of two modulo powers of three
Journal of integer sequences, Tome 18 (2015) no. 6.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Since 2 is a primitive root of $3^{m}$ for each positive integer $m$, the set of points ${ (n, 2^{n}$ mod $3^{m}) : n \ge 0}$, viewed as a subset of $Z_{\ge 0} \times Z_{\ge 0}$ is bi-periodic, with minimal periods ϕ$(3^{m})$ (horizontally) and $3^{m}$ (vertically). We show that if one considers the classes of $n$ modulo 6, one obtains a finer structural classification. This result is presented within the context of the question of strong normality of Stoneham numbers.
Keywords: primitive root, strong normality, normality 
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     author = {Coons, Michael and Winning, Heath},
     title = {Powers of two modulo powers of three},
     journal = {Journal of integer sequences},
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     number = {6},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2015__18_6_a2/}
}
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Coons, Michael; Winning, Heath. Powers of two modulo powers of three. Journal of integer sequences, Tome 18 (2015) no. 6. http://geodesic.mathdoc.fr/item/JIS_2015__18_6_a2/