May 12, 2014 · Basically, yes. When n is even and more than two, the sum of the consecutive integers is also even, making the sum non-prime if it’s bigger than 2. And if n is odd, the sum of the consecutive integers will be divisible by n, making that sum not prime, unless n is 1 and the single number is 1, since a prime numbers are divisible by 1. May 12, 2014 · Basically, yes. When n is even and more than two, the sum of the consecutive integers is also even, making the sum non-prime if it’s bigger than 2. And if n is odd, the sum of the consecutive integers will be divisible by n, making that sum not prime, unless n is 1 and the single number is 1, since a prime numbers are divisible by 1.