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https://en.wikipedia.org/wiki/Divisibility_rule — found via Wikipedia
Divisibility rule
preserving divisibility by the divisor of interest. Therefore, unless otherwise noted, the resulting number should be evaluated for divisibility by the same
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http://arxiv.org/abs/0807.2629 — found via Mwmbl
[0807.2629] Divisibility by 2 and 3 of certain Stirling numbers
Title:Divisibility by 2 and 3 of certain Stirling numbers Abstract: The numbers e_p(k,n) defined as min(nu_p(S(k,j)j!): j >= n) appear frequently in alge…
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http://math.stackexchange.com/a/156658 — found via Mwmbl
divisibility - Division of $q^n-1$ by $q^m-1$, in Wedderburn's t…
$\begingroup$The argument with the roots of unity show that, as a polynomial, if $q^m-1\;|\;q^n-1$, then $m\;|\;n$. I don't see how it shows that there m…