The Equivalence of Wilson's Theorem and sin(πΩ) = 0

We present a new deterministic criterion for primality based on Wilson's theorem and the sine function. A necessary and sufficient condition for an integer p > 1 to be prime is given by sin(π*Ω) = 0, where Ω = [(p-1)! + 1]/p. This connects elementary number theory with the zeros of a trigonometric function. Keywords: Prime Numbers, Wilson's Theorem, Sine Function, Elementary Number Theory