Infinitely many primes congruent to minus one modulo six
= Infinitely many primes congruent to minus one modulo six
{title2=$\#\{p\text{ prime}:p\equiv-1\pmod6\}=\infty$}
For any finite list of such <prime numbers>, let $P$ be their product. The integer $6P-1$ has no listed prime divisor, nor the divisors $2,3$. Its remaining prime factors have residues $1,-1$ modulo six, and at least one has residue $-1$ because their product has that residue. Thus no finite list is exhaustive.
// Target: number-theory.bigb