1. THERE EXISTS AT LEAST TWO PRIMES NUMBERS BETWEEN N^2 AND (N+1)^2, WHERE N IS A NATURAL NUMBER. 2. THERE EXISTS AT LEAST ONE TWIN-PRIME PAIR BETWEEN N^2 AND (N+2)^2, WHERE N IS AN ODD NATURAL NUMBER. (THEREFORE THE TWIN PRIME CONJECTURE IS TRUE) anyone will a powerful system can verify them. Below is a link to the first of three papers aimed at possibly settling some prime number conjectures. In this article, we present a simple approach to tackling most prime number conjectures. The main statement is presented as a conjecture. http://addo.esmartdesign.com/3e.htm" [Broken] CONSTRUCTIVE COMMENTS ARE WELCOME.