If a cryptographic protocol uses prime numbers to generate encryption keys, which consequence follows if the prime number generator has a subtle bias towards certain primes?

💡 Explanation

A biased prime number generator will lead to primes with a pattern, and therefore the private key becomes vulnerable to factorization attacks using algorithms tailored to exploit those patterns, because factorization becomes easier than expected. Thus, security is compromised, rather than the algorithm being faster or simpler.

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