Is there a way to predict primes........not using his hypothesis?.................which is what he was interested in......patterns.........

The distribution of such prime numbers among all natural numbers does not follow any regular pattern.  However, the German mathematician G.F.B. Riemann (1826 - 1866) observed that the frequency of prime numbers is very closely related to the behavior of an elaborate function

    ζ(s) = 1 + 1/2^s + 1/3^s + 1/4^s + ...

called the Riemann Zeta function. The Riemann hypothesis asserts that all interesting solutions of the equation

    ζ(s) = 0

lie on a certain vertical straight line.

This has been checked for the first 10,000,000,000 solutions. A proof that it is true for every interesting solution would shed light on many of the mysteries surrounding the distribution of prime numbers.