Advanced Prime Number Checker
Check if any number is prime - supports numbers with thousands of digits
About Large Prime Numbers
The largest known prime number as of 2023 is 282,589,933 − 1, a number with 24,862,048 digits. It was discovered by the Great Internet Mersenne Prime Search (GIMPS).
This tool uses the Miller-Rabin primality test for large numbers, which is a probabilistic test. For numbers with more than 20 digits, we use a faster approach with fewer iterations to maintain performance.
Understanding Prime & Composite Numbers
What are Prime Numbers?
Prime numbers are natural numbers greater than 1 that have exactly two distinct positive divisors: 1 and the number itself. Examples: 2, 3, 5, 7, 11, 13, etc.
What are Composite Numbers?
Composite numbers are natural numbers greater than 1 that are not prime. They have at least one divisor other than 1 and themselves. Examples: 4, 6, 8, 9, 10, etc.
Special Cases
The number 1 is neither prime nor composite. The number 2 is the only even prime number. All other even numbers greater than 2 are composite.
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