The discussion focuses on proving that the expression formed by the product of odd numbers up to 2001 added to the product of even numbers up to 2002 is divisible by 2003. Utilizing Wilson's theorem, it establishes that for a prime number p, the factorial of (p-1) is congruent to (p-1) modulo p. The products of odd and even numbers are denoted as P1 and P2, respectively, leading to the conclusion that their product modulo 2003 is equivalent to 2002. The analysis shows that x, representing P1 modulo 2003, must be a divisor of 2002, resulting in specific values for x and y. Ultimately, it is concluded that the sum of P1 and P2 is divisible by 2003.