Number Theory Challenge - Six Engaging Questions

Test your grasp of primes, residues, and integer tricks with six carefully crafted problems.

number theorydivisibilitymodular arithmetictotientgcdprimes
Difficulty:MEDIUM

Quiz Details

Questions6
CategoryMathematics & Logic
DifficultyMEDIUM
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Quiz Questions

Answer all questions below and test your knowledge.

  1. 1

    Which of the following numbers is a Sophie Germain prime?

    Question 1
  2. 2

    What is the remainder when 7^2025 is divided by 10?

    Question 2
  3. 3

    Which integer must be added to 123456 to make the sum divisible by 9?

    Question 3
  4. 4

    What is φ(36)?

    Question 4
  5. 5

    The greatest common divisor of 84 and 110 is?

    Question 5
  6. 6

    For prime p=13, what is 5^{12} mod 13?

    Question 6

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