A cryptographic system relies on prime numbers exceeding 2^512. If a computationally weak random number generator occasionally produces composite numbers, which consequence follows?

💡 Explanation

Fermat's factorization theorem provides a method to factorize numbers based on the difference of squares; a composite number that is not prime can potentially be factored using this approach because it exploits the number's non-prime properties, therefore, the system's vulnerability to Fermat's factorization increases, rather than being more secure with prime numbers.

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