m and n
Posted: Wed Apr 10, 2013 11:49 pm
Let $m,n$ be positive integers. Prove that $(2^m-1)^2|(2^n-1)$ if and only if $m(2^m-1)|n$.
Source:Russia 1997
Source:Russia 1997
Ithink problem 3 has a crack in the solution. How can we assume a and d relatively prime?Masum wrote:https://www.awesomemath.org/assets/PDFs ... _Lemma.pdf
A general version, and applicable in many criteria. Particularly, this problem becomes one liner