Discover if your number is Prime or Composite โ fast and easy!
โ Yes! It's a Prime Number
Prime numbers are only divisible by 1 and itself.
Explore comprehensive data about prime numbers and their fascinating properties.
Click any prime to analyze it!
7547โ7549, 7559โ7561, 7589โ7591 ...
7537โ7541, 7573โ7577, 7603โ7607, 7639โ7643, 7669โ7673, 7687โ7691 ...
7517โ7523, 7523โ7529, 7541โ7547, 7577โ7583, 7583โ7589, 7643โ7649, 7681โ7687 ...
Primes of the form 2โฟ - 1 less than 7589
Primes that read the same forwards and backwards
Primes that remain prime when digits are rotated (below 7589)
Prime numbers are the building blocks of mathematics, encryption, and more. Explore what makes them fascinating.
A prime number is a natural number greater than 1 that has no positive divisors other than 1
and itself.
Prime numbers cannot be formed by multiplying two smaller natural numbers. The first few are:
2, 3, 5, 7, 11, 13, 17, 19, 23...
ฯ(n) โ n/ln(n) - The density of primes decreases logarithmically
ฮถ(s) = 0 only at s = -2,-4,-6... and Re(s) = 1/2
For n > 1, there's always a prime between n and 2n
Test divisibility up to โn - Simple but slow O(โn)
Probabilistic test - Fast O(k logยณ n) with k rounds