How many primes are 1 modulo 6? — The Ross Program

Описание: In ℤ/pℤ, we can find a root of the sixth cyclotomic polynomial, Φ₆(x) = x² − x + 1, when –3 is a square modulo p. This helps us see a connection between (–3 | p) and p ≡ 1 mod 6. Finally, we prove that there are infinitely many primes congruent to 1 modulo 6, again by making use of Φ₆(x) = x² − x + 1.