Think you know Number Theory?

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3-question preview

Try a quick Number Theory round

Answer easy, medium, and hard questions. Install the app for the full 18-question duel.

Question 1 of 3 Easy

These visible examples show the question style. LearnClash turns the full topic into ranked duels and spaced repetition.

1 Easy

Mersenne primes must be one less than a power of what number?

Answer: Two
2 Medium

What taxicab number is the smallest sum of two cubes two ways?

Answer: 1729
3 Hard

Legendre's Conjecture states there is always a prime between consecutive what?

Answer: Perfect squares
4 Easy

Euclid proved that there are how many prime numbers in existence?

Answer: Infinitely many
5 Medium

Modern internet encryption relies on the difficulty of factoring products of what?

Answer: Large prime numbers
6 Hard

Which insects use prime-numbered lifecycles of 13 or 17 years to avoid predators?

Answer: Cicadas