- #1
Bibubo
- 14
- 0
Let $\left\{ p_{1},p_{2},\dots,p_{h}\right\}$ a set of consecutive prime numbers. I want to show that, if $h$ is large enough, then doesn't exists a natural number $n$ such that $$n\equiv1\textrm{ mod }p_{i},\,\forall i=1,\dots,h.$$
I think is true but I have no idea how to prove it. Am I wrong?
I think is true but I have no idea how to prove it. Am I wrong?