Counterexample: 6.
But more fun is 'every even number 10 and up is the sum of at most four primes, at least one of them being 3.
So maybe (5x2)+1 onwards, though wondering that any two primes +2 will alwys mess that one up.
Still all that said nothing about the said even number not being also able to be made up by three primes without adding +1 ;). But still Wondering now how many clash's and with that it does get down to the case of:
Any Two primes + 2 would be three prime numbers and also a even number,
we all know that too be true and fact, even if those primes are also the value of 2.
Numbers are such fun, more so when you question them, learn them and respect, or indeed change them. They are still fun.Well pointed out.
So from 7 onwards then :blush:-)