Let p and q be consecutive odd primes. Since p+q is even, we may immediately factor p+q = 2*((p+q)/2). Furthermore, since ((p+q)/2) is a number strictly between p and q, and since there are no primes between p and q, we know that ((p+q)/2) has at least two prime factors. This makes at least 3 total prime factors.

Comments: (
You must be logged in to post comments.)