  A dynamic sieve method is designed according to the basic sieve method. It
mainly refers to the symbolic dynamics theory. By this method, we could connect
the prime system with familiar 'Logistic Mapping'. An interesting discovery is
that the pattern of primes could be depicted by a series of orbits of this
mapping. Some heuristic proofs for open problems like twin primes are obtained
through this relation. This research gives a new viewpoint for the distribution
of prime numbers.
