Goldbach Conjectur and Composite Numbers

In this paper, the results that every even composite number can be expressed as sum of two odd primes, every odd composite number can be expressed as a sum of an odd prime and a number of the form 2ⁿ where n∈ N and every odd prime number greater than 3 may be expressed as a sum of a pure number and a number of the form 2ⁿ where n∈ N are being presented. Further, for any sufficiently large natural number n, it is presented that every even number up to n can be expressed as a sum of two primes less than n, every even number up to n can be expressed as a sum of two primes less than[2/3n] and every even number up to n can be expressed as a sum of two primes less than[3/4n].