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Number Theory Quiz

Try out this Number Theory quiz to test your knowledge. Number Theory trivia explores the integers, prime numbers, divisibility, and surprising patterns that have fascinated mathematicians since antiquity, from Euclid to modern cryptography.

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15 questions

~3 min to finish

Easy to hard difficulty

320 pts max score

  1. Question 1 · Hard · 40 pts

    What major international mathematics prize did John Tate win in 2010?

  2. Question 2 · Hard · 40 pts

    Whose influence on modern algebraic geometry is singled out as deeply important for tools used in number theory?

  3. Question 3 · Hard · 40 pts

    Which university is named as an important institutional home for modern work in number theory?

  4. Question 4 · Hard · 40 pts

    Which institution in Japan is noted for significant research activity in arithmetic geometry and number theory?

  5. Question 5 · Hard · 40 pts

    The Riemann hypothesis is about the zeros of what function?

  6. Question 6 · Easy · 10 pts

    What do you call a number with exactly two positive divisors, 1 and itself?

  7. Question 7 · Easy · 10 pts

    A number with more than two positive divisors is called what?

  8. Question 8 · Easy · 10 pts

    What is the term for a number that equals the sum of its proper positive divisors?

  9. Question 9 · Easy · 10 pts

    What do you call a number that reads the same forward and backward?

  10. Question 10 · Easy · 10 pts

    A Fermat number is written in what form?

  11. Question 11 · Easy · 10 pts

    The Sophie Germain prime is named after which mathematician?

  12. Question 12 · Easy · 10 pts

    What theorem describes how primes are distributed among large integers?

  13. Question 13 · Easy · 10 pts

    What are the smallest pair of amicable numbers?

  14. Question 14 · Medium · 20 pts

    Which pair of cube sums equals 1729?

  15. Question 15 · Medium · 20 pts

    Which of these is a Fermat prime?