Apoloniusz Tyszka

A common approach to Brocard's problem, Landau's problem, and the twin prime problem

2015 · arXiv (Cornell University)

Let f(1)=2, f(2)=4, f(n+1)=f(n)! for n>1. E.Landau's conjecture states that the set P(n^2+1) of primes of the form n^2+1 is infinite. This conjecture implies the following unproven statement F: card(P(n^2+1)) P(n^2+1) subset [2,f(7)]. Let B …