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infinite primes p having a multiple in the form n^2 + n + 1 ?

Source: Czech-Polish-Slovak Junior Match 2013, Team p1 CPSJ

March 21, 2020

primesnumber theoryinfinitely many

Problem Statement

Decide whether there are infinitely many primes

p

having a multiple in the form

n^2 + n + 1

for some natural number

n