Number Theory Mastery Test
Advanced Number Theory Challenge: Explore prime factorization, modular arithmetic, and Diophantine puzzles in five rigorous problems.
Quiz Questions
Answer all questions below and test your knowledge.
- 1
What is the smallest prime number greater than the square root of 2025?
- 2
Find the integer x that satisfies the congruence 7x ≡ 1 (mod 31).
- 3
How many positive divisors does the number 2^4·3^2·5 have?
- 4
Which statement correctly describes the solutions to x^2 ≡ 1 (mod 8)?
- 5
What is the smallest integer n such that n! is divisible by 2^10?
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