Secondly, you could use Mills' constant to find primes... if you knew Mills' constant to arbitrary precision... but nobody does, since the only way to calculate Mills' constant is by finding a bunch of primes. =)
Caldwell & Cheng (2005) used this method to compute almost seven thousand base 10 digits of Mills' constant under the assumption that the Riemann hypothesis is true. There is no closed-form formula known for Mills' constant, and it is not even known whether this number is rational (Finch 2003).
also did not some
average mathematician put some paper that the max distance from prime number to prime numbers is less that 70 millions