Prove that we can find an infinite set of positive integers of the from
![2^n-3](/media/m/7/7/5/7752b60bb1800a84faddd3fe76d8a697.png)
(where
![n](/media/m/a/e/5/ae594d7d1e46f4b979494cf8a815232b.png)
is a positive integer) every pair of which are relatively prime.
%V0
Prove that we can find an infinite set of positive integers of the from $2^n-3$ (where $n$ is a positive integer) every pair of which are relatively prime.