Think you know Number Theory?

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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

What is a whole number greater than 1 that is not prime called?

Answer: Composite number

Why: Every composite number can be uniquely broken down into a product of prime factors.
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

In which famous number sequence is each term the sum of the preceding two terms?

Answer: Fibonacci sequence

Why: Introduced to Western Europe in 1202 by Fibonacci to track ideal rabbit population growth, its ratios converge to the Golden Ratio.
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