Prime Number Calculator
Check, generate, and analyze prime numbers
Check Prime
Generate Primes
Prime Factorization
Algorithm: Trial Division
Checks divisibility by all integers up to √n
Time: O(√n)
Space: O(1)
Sieve of Eratosthenes: Efficient algorithm for finding all primes up to a limit
Time: O(n log log n)
Space: O(n)
Algorithm: Trial Division
Repeatedly divides the number by primes until it reaches 1
Time: O(√n)
Space: O(log n)
Calculating...
Prime Check Result
Enter a number to check
A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.
Generated Prime Numbers
0 primes
Prime numbers highlighted in green. Hover over numbers to see details.
Prime Factorization
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Every integer greater than 1 either is prime itself or can be factorized as a product of primes.
Number Visualization
Visual representation of numbers up to 100. Prime numbers are shown in green.
Note: For very large numbers, calculations may take longer. The maximum limit for prime generation is 10,000 for performance reasons.
