Decide whether there are infinitely many primes $p$ having a multiple in the form $n^2 + n + 1$ for some natural number $n$
Problem
Source: Czech-Polish-Slovak Junior Match 2013, Team p1 CPSJ
Tags: primes, number theory, infinitely many
Source: Czech-Polish-Slovak Junior Match 2013, Team p1 CPSJ
Tags: primes, number theory, infinitely many
Decide whether there are infinitely many primes $p$ having a multiple in the form $n^2 + n + 1$ for some natural number $n$