(AIME) number theory question
37514
How many integers less than $1000$ can be expressed in the form $\frac{(x + y + z)^2}{xyz}$?
7151
Let $a,m,n \in \mathbf{N}$. Show that if $\gcd(m,n)=1$, then $\gcd(a,mn)=\gcd(a,m)\cdot\gcd(a,n)$.
108425
Problem on abelian group
41571
Prove that in a sequence of numbers $49 , 4489 , 444889 , 44448889\ldots$
151928
How to prove that $N\setminus A$ is finite?
155757
Number theory: $x^y + 1 = y^x$
132541
Showing ${1\over n}\sum|S_i|=O(\sqrt n)$ for $S_i\subset [n]$, $|S_i\cap S_i|\le 1$ for $i\ne j$
93572
How to determine if $n (n \geq 2)$ given numbers can be summed up to a certain number?
157711
Number Theory: Prove that $m | \phi(a^m - 1)$
149841
Find the number of integer pairs 0 ≤ a, b ≤ 100 such that a^20 ≡ b^50 (mod 101). Need help with understanding solution
29692
Proof verification: elementary Number Theory Proof of $am+bn = 1$
145752
Aut $\mathbb Z_p\simeq \mathbb Z_{p-1}$
73352
Subjects studied in number theory
73253
Question About equal signs in Theorems
83307
If $n\mid a^2-1$, $n$ an odd integer, show $n = \gcd(a-1, n)\gcd(a+1, n)$
50781
$(n+1)$th prime $p_{n+1}$ less than or equal to $p_1p_2\dots p_n+1$
79219
Prove that $a^{2^n} \equiv 1 \pmod{2^{n+2}},$ where $a$ is an odd integer.