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 Mar17 awarded Popular Question Dec1 awarded Popular Question Oct26 awarded Yearling Oct15 awarded Popular Question Aug8 awarded Popular Question Jul2 awarded Curious Jul2 awarded Inquisitive Feb27 awarded Nice Question Oct26 awarded Yearling Oct16 awarded Nice Question Sep3 asked Choosing $15$ out of $100$ whole numbers with difference of any $2$ divisible by $7$ Aug28 accepted The limit of $\frac{|A_n|}{n^2}$ Aug28 asked Fixed point of matrix Aug28 accepted Definition of parabolic matrix. Aug28 asked Definition of parabolic matrix. Aug28 revised The limit of $\frac{|A_n|}{n^2}$ edited tags Aug28 comment The limit of $\frac{|A_n|}{n^2}$ How can I explain the existence of limit witout actually try and compute it? Aug28 comment The limit of $\frac{|A_n|}{n^2}$ But, why the limit do exist? Aug28 comment On proving the convergence of $1/n^2\sum_{1\le k\le n}\varphi(k)$ Yes, also $\sum_{n\leq x}\phi(n)=\frac{3}{\pi^{2}}x^{2}+O\left(x\log x\right)$, but I can't prove these. Aug28 comment On proving the convergence of $1/n^2\sum_{1\le k\le n}\varphi(k)$ +1, A question: May I say that the existence of that limit deduced only from your question(stated in my own words): For two "random" integers $a$ and $b$, what is the probability that they have no common factor?