Starting with a(1) = 3, a(2) = 5, a(n+1) is the smallest prime number greater than the previous term a(n) such that there exists k satisfying 1<=k<n, a(n+1) = 2*a(n) - a(k).

A238137

Starting with a(1) = 3, a(2) = 5, a(n+1) is the smallest prime number greater than the previous term a(n) such that there exists k satisfying 1<=k<n, a(n+1) = 2*a(n) - a(k).