The Euler Product is a formula that connects prime numbers to the Riemann zeta function. It expresses the zeta function as an infinite product over all prime numbers, highlighting the fundamental role of primes in number theory. Specifically, it states that for complex numbers with a real part greater than 1, the zeta function can be represented as the product of terms involving each prime. This relationship is significant because it shows how the distribution of prime numbers influences the properties of integers. The Euler Product is a key result in analytic number theory, illustrating the deep connections between different areas of mathematics.