Goldbach's Rule

Abstract

Goldbach`s Conjecture, "every even number greater than 2 can be expressed as the sum of two primes" is renamed Goldbach`s Rule for it can not be otherwise. The conjecture is proven by showing that the existence of prime pairs adding to any even number greater than 2 is a natural by-product of the existence of the prime sequence less than that even number. First it is shown that the remainder of cancellations process which identifies primes less than an even number also remainders prime pairs adding to that even number as a natural part of the process. Then a minimum limit for the remaindered number of prime pairs adding to an even number is expressed in terms of that even number and shown to exist for every even number greater than 2. Furthermore, the reasonings and formulations used in the proof are demonstrated to hold against observations.