" Any odd number (other then prime numbers & the number 9) having some prime factors can be expressed as sum of those prime factors & certain prime numbers where the prime numbers are not repeated anywhere in the summation". For e.g. take number 15 15=3*5 15=3+5+7 there is no counter example to the above statement except to those of mine which I have given. Now this is different from GoldBach's conjecture if observed minutely. Can any one give any more counterexample to the above statement within the context of the question. regards.