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idkmybffjill

Apparently, this user prefers to keep an air of mystery about them.

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  • Last seen Feb 23 '16 at 6:24

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35 Why is Euler's Totient function always even? Mar 7 '14
5 Let $p$ be prime. Does $x^3 \equiv a\bmod{p}$ have a solution for every $a$? Mar 20 '14
4 Prove that if $m$, $n$ $\in \mathbb {N}$ with $g=\gcd(m, n)$, then $\phi(mn) = \frac{g\phi(m)\phi(n)}{\phi(g)}$ Mar 20 '14
4 Prove that if $d \mid n \in \mathbb{N}$, then $\varphi(d) \mid \varphi(n)$. Mar 20 '14
4 If $n$ people are placed in a room, prove that at least $2$ of those people will have the same number of friends in the room. Jul 13 '15
3 Proving a particular product topology has an uncountable discrete subspace. Nov 23 '15
2 If $D$ is a dense subset of a topological space, $X$, and $O$ is an open subset of of $X$, then prove $\it{O} \subseteq \overline{D \cap O}$. Oct 26 '15
2 Let $r$ be the smallest positive integer such that $a^r \equiv 1 \bmod{n}$. Prove $r \mid \phi(n)$. Mar 20 '14
2 If $\exists$ $x,y \in \mathbb Z$ such that $ax+by=c$, then does $(a,b)|c$ or even stronger does $(a,b)=c$? Mar 7 '14
1 Prove that $x^2 \equiv a \bmod{p}$ has a solution for exactly half of the integers of $a$ satisfying $1 \le a \le p - 1$. Mar 20 '14
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