2 problems

Let $p$ be a prime, set $q=p^3$, and define … The cubic-prime-power projective-prime conjecture. There are infinitely many values of $q=p^3$ such that $m=1+q+q^2$ is prime. The con…

Fix a prime integer $n\ge 3$, and let $p$ range over prime numbers. Define … The fixed-exponent projective-prime conjecture. For every fixed prime $n\ge 3$, there are infinitely ma…