VibraXX
Live Quiz Arena
🎁 1 Free Round Daily
⚡ Enter Arena
HomeCategoriesLogic & PuzzlesQuestion
Question
Logic & Puzzles

If a RSA cryptosystem uses a modulus `n` that is the product of two distinct large prime numbers, which advantage does Fermat's Little Theorem provide in checking primality?

A)Guarantees deterministic prime factorization
B)Enables faster key exchange protocols
C)Simplifies complex modular exponentiation
D)Offers probabilistic primality test efficiency

💡 Explanation

Fermat's Little Theorem allows a probabilistic primality test: if `a^(p-1)` is not congruent to 1 mod p, then `p` is composite, because the theorem offers a fast way to eliminate composite numbers rather than providing a guaranteed factorization, therefore option D is correct.

🏆 Up to £1,000 monthly prize pool

Ready for the live challenge? Join the next global round now.
*Terms apply. Skill-based competition.

⚡ Enter Arena

Related Questions

Browse Logic & Puzzles