Subsets of prime numbers received by means of generalized arithmetic progression
A short historical information about formulas and polynomials generating subsets of prime numbers is given. Examples of subsets of prime numbers by using generalized arithmetic progression are obtained. It is proved that prime numbers of the sets M<sub>l</sub> are the first (l + 1)/2 members of the generalized arithmetic progression with first member (l + 3)/2 and denominator d = 2.