Article contents
PRIME DIVISORS OF SHIFTED FACTORIALS
Published online by Cambridge University Press: 12 December 2005
Abstract
For any positive integer n we let $P(n)$ be the largest prime factor of n. We improve and generalize several results of P. Erdős and C. Stewart on $P(n!+1)$. In particular, we show that $\limsup_{n \to \infty}P(n!+1)/n \ge 2.5$, which improves their lower bound of $\limsup_{n \to \infty} P(n!+1)/n >2$.
- Type
- Papers
- Information
- Copyright
- © The London Mathematical Society 2005
- 3
- Cited by