The Prime Classification and Factor Structure

Abstract

When prime numbers 2·3 compose a sieve method table with (mod6) arithmetic progressions, and rowing in 1,5 two columns number sets is a column mixed with prime numbers and composite numbers and relationships more complex; set in four columns number sets is known to be a composite number column with factor relationships. By motif number, the arrangement and classification of arithmetic, the originally ordered law, character structure, and relationship of natural number successively display. Thus,6n+1;6n-1, the two-relationship prime p and q is found between the two columns 1,5, as well as the combining form of composition numbers groups constituted of this factor structure relationship. On this basis, we also found that, instead of calculating M directly, the method of distinguishing the properties of natural number and detecting character utilizes factors, p and q, in arithmetic sequence added mode order number N to do the additive decomposition. So that we can obtain the location of Hsueh Sieve theory calculations, and simultaneously determine primes, integer factorization, and calculate composite numbers correspond, prime corresponding sum, and composite and primes correspondence and attribute structure relations. Thus, we can effectively understand (> 6) the structure character and essence of the corresponding relations, which is that even number is the sum of two odd prime numbers – the Goldbach conjecture objective law.