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 Nov26 revised Number of coprimes of $n$ divisible by 3 added 4 characters in body Nov25 comment Eulers totient function divided by $n$, counting numbers in the set [1,m] that are coprime to n Answering my question: the inclusion-exclusion principle cna be used to do the counting: math.stackexchange.com/a/1038805/5758 Nov25 answered Number of coprimes of $n$ divisible by 3 Nov25 comment Eulers totient function divided by $n$, counting numbers in the set [1,m] that are coprime to n Is there a related theorem when $m*\omega(n)/n$ is not an integer? Where can I read more about this? Nov25 revised Number of coprimes of $n$ divisible by 3 edited title Nov25 comment Number of coprimes of $n$ divisible by 3 @Peter: Yes, as I wrote in my previous comment, neither $\mathrm{floor}(\varphi(3n)/3)$ nor $\mathrm{ceil}(\varphi(3n)/3)$ work. Nov25 comment Number of coprimes of $n$ divisible by 3 @Peter: $\mathrm{floor}(\varphi(3n)/3)$ is incorrect for many numbers smaller 100. $\mathrm{ceil}(\varphi(3n)/3)$ is also incorrect for many numbers smaller 100. Both are incorrect for $n=110$ and many other numbers. Nov25 asked Number of coprimes of $n$ divisible by 3 Oct1 answered What is the maximum area of measurable sets on the plane with given diameter? Oct1 asked What is the maximum area of measurable sets on the plane with given diameter? Mar18 suggested rejected edit on Prove the convergence of $\lim_{n \rightarrow \infty} \frac{23^n}{n^{13}} \cdot \frac{1}{6}$ Oct27 comment What is the simplest proof of the pythagorean theorem you know? You also need to prove that in the figure on the right the large white area is a square. It's obvious that all its sides have the length $c$, but are the angles right angles? Oct2 revised Inequality…(RMO $1994$…question $8$) moved the multiplication dot above the baseline Oct2 suggested approved edit on Inequality…(RMO $1994$…question $8$) Sep27 awarded Critic Sep26 comment Surprising identities / equations There are not other integer solutions (except for $x=y$). Sep26 comment Surprising identities / equations More explanation here: en.wikipedia.org/wiki/… Sep10 comment How can one prove that $e<\pi$? Since $(1+1/n)^n<(1+1/n)^{n+1}$, it's enough to prove that the latter is decreasing. It starts from 4, then 3.375, then 3.16..., then 3.05..., then 2.98..., already smaller than 3. May14 awarded Caucus Apr14 awarded Nice Question