Answer
The statement does not make sense.
Work Step by Step
Consider the given number.
${{2}^{57885162}}-1$
The number in the power has $2$ at its one place thereby making it divisible by $2$. So, it is not prime.
For ${{2}^{p}}-1$ to be prime, number $p$ needs to be prime.
Thus, the number ${{2}^{57885162}}-1$ is not prime as $57885162$ is composite.
Thus, the given statement is not true.
The statement does not make sense.