On the greatest and least prime factors of $n!+1$. II.
Cameron L. Stewart · Publicationes Mathematicae Debrecen · 2004
Let ε be a positive real number.We prove that for infinitely many odd integers n the least prime factor of n! + 1 is at most ( √ 145-1 8 + ε)n and that for infinitely many positive integers n the greatest prime factor of n! + 1 exceeds ( 11 2 -ε)n.