Math Help - number theory question

1. number theory question

show that any integer that is greater than 6 is the sum of two relatively prime integers each of which is greater than 1. Actually, how does Bertrand's postulate apply to this question.

cheers

2. Originally Posted by luoginator
show that any integer that is greater than 6 is the sum of two relatively prime integers each of which is greater than 1. Actually, how does Bertrand's postulate apply to this question.
Bertrand's postulate tells you that there is a prime p with $\lceil n/2\rceil< p < 2\lceil n/2\rceil-2\leqslant n-1$. Then p and n–p are coprime.

3. shot man! cheers..lol