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Logic & Puzzles

If a cryptographic key generation algorithm relies heavily on multiplying very large prime numbers, which security risk increases most if the primes are too close in magnitude?

A)Increased computational resource requirements
B)Susceptibility to rainbow table attacks
C)Vulnerability to Fermat's factorization method
D)Greater entropy in generated keys

💡 Explanation

Fermat's factorization method is most efficient when the factors are close together. Because key generation relies on the difficulty of factoring the product, choosing primes of similar magnitude reduces the security. Therefore, Fermat's method poses a threat, rather than the resource usage or key entropy being affected.

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