Introduction of Variation Here the sequence of primes is presented graphically in terms of a step function or counting function which is traditionally denoted p(x). (Note: this has nothing to do with the value p=3.14159...) Dynamic structure of allocation of prime numbers  in natural numbers series is constituted by Gaps between consecutive primes  Pregap Gn = Pn – Pn -1   &    postgap gn = Pn+1 – Pn gn º G n+1 n – ordinal number of a prime   After  creating the chart of Gn  (G=f(n)) , we see immediately in the ocean of the apparent chaos Islands of some regularities: Symmetrical forms,     Symmetrical each other forms,     And repeating forms !         These forms are constituted not by gaps themselves, But by differences of consecutive gaps -Variations of gaps Vn = g n – Gn ( Vn = G n+1 – Gn )  Vn = (Pn+1 – Pn) – (Pn – Pn-1) =  Pn+1 – 2Pn+ Pn-1 Introduction of gaps has been the first step  of prime numbers dynamic structure -  introduction of VARIATIONS is the next, more profound, one creating a great advantage in research of prime numbers. It is proved to be very effective  by having discovered many unexpected regularities. There may be some remote analogy between the dynamic structure  of discrete array of prime numbers and calculus  if consider gap as Pn’ and variation as Pn”. Both gaps (pregaps and postgaps) and variations  involve 3 primes: Pn-1, Pn, and Pn+1.   [ Up ] [ Introduction of Variation ] [ Regular and Repeating Groups ] [ Groups in the Range until 100,000 ] [ Groups in the Range until 1,000,000 ] [ Key of Primes Structure ] [ Distribution of gaps and variations ] [ Boolean Algebra of Classes ] [ Consecutive primes ] [ Groups of primes in the infinite set ] [ Groups of primes in a limited range ] [ We have for each kind of regular and repeating groups ]