What is a prime?

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

Examples of the first ten primes: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29.

Prime Generator

Find the n^th Prime

First 100 Primes

Prime Facts

• There are infinitely many primes (Euclid's theorem).
• The largest known prime (as of 2025) is a Mersenne prime with over 24 million digits.
• Prime numbers are the building blocks of the integers.
• They play a crucial role in cryptography, especially RSA.