So I know there are infinitely many prime numbers, for Euclid proved there were in $300$ BCE.
However, I cannot find the following prime number after
Let this prime number be $X$, then $X$ is $87$ digits long, and I want to find the following prime number from this but it is too far away! I am trying to find pairs of prime numbers with large gaps. For example, the following prime number after $p$ is $p + 972$ such that $p$ is equal to
This is $76$ digits long, which is pretty amazing, but the point is, does anyone know what is the next prime number after $X$?
All I know is that if we let the next prime number after $X$ be $Y$, then $Y > X + 1510$.
Thank you in advance.