Are all prime numbers linked by four simple functions? Can we predict when a prime will appear in a sequence of primes? If we classify primes into two groups, Group 1 for all primes that appear before
ζ (such that
, for instance 5,
), an even number divisible by 3 and 2, and Group 2 for all primes that are after
ζ (such that
, for instance 7), then we find a simple function: for each prime in each group,
, where
n is any natural number. If we start a sequence of primes with 5 for Group 1 and 7 for Group 2, we can attribute a
μ value for each prime. The
μ value can be attributed to every prime greater than 7. Thus
for Group 1, and
. Using this formula, all the primes appear for
, where
μ is any natural number.