Predicting Maximal Gaps in Sets of Primes
Let q > r ≥ 1 be coprime integers.Let P c = P c ( q , r , ZIPPO H ) be an increasing sequence of primes p satisfying two conditions: (i) p ≡ r (mod q) and (ii) p starts a prime k-tuple with a given pattern H.Let π c ( x ) be the number of primes in P c not exceeding x.We heuristically derive formulas predicting the growth trend