This website contains problems from math contests. Problems and corresponding tags were obtained from the Art of Problem Solving website.

Tags were heavily modified to better represent problems.

AND:
OR:
NO:

Found problems: 2

2013 Czech-Polish-Slovak Junior Match, 1
Tags: infinitely many , prime , number theory
Decide whether there are infinitely many primes $p$ having a multiple in the form $n^2 + n + 1$ for some natural number $n$

2018 Danube Mathematical Competition, 2
Tags: divisor , infinitely many , number theory
Prove that there are in finitely many pairs of positive integers $(m, n)$ such that simultaneously $m$ divides $n^2 + 1$ and $n$ divides $m^2 + 1$.