Prime Numbers
Professional tool for analyzing prime numbers. Check primality, generate sequences, factorize numbers, and discover fascinating statistics.
Check if a number is prime
Enter a positive integer to verify if it's prime.
What is a prime number?
A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. The first prime numbers are 2, 3, 5, 7, 11, 13, etc. The number 2 is the only even prime.
Generate prime numbers
Generate all prime numbers within a specific range.
Calculating prime numbers...
The Sieve of Eratosthenes
This method, created by the Greek mathematician Eratosthenes, is an efficient algorithm for finding all primes up to a given number. It works by systematically eliminating multiples of each prime found.
Prime Factorization
Break down a number into its prime factors.
The number factors into:
Fundamental Theorem of Arithmetic
States that every integer greater than 1 can be represented exactly in one way as a product of prime numbers (its prime factors), regardless of the order of the factors.
Prime Number Statistics
Interesting facts about the distribution of prime numbers.
Calculating statistics...
Prime Number Distribution
Prime numbers are distributed irregularly, but follow statistical patterns. The Prime Number Theorem states that the number of primes less than a number n is approximately n/ln(n).
Fast and Efficient
Optimized algorithms to handle large numbers with instant results.
Responsive Design
Works perfectly on any device: mobile, tablet or desktop.
Educational
Clear explanations and educational content about number theory.
