🔢 Prime Number Checker
Check primes, prime factorization, find nearby primes
Check primes, prime factorization, find nearby primes
This tool checks whether a positive integer is prime. If it's prime, it confirms so; if not, it shows the prime factorization and lists nearby primes.
Prime numbers are fundamental mathematical concepts with important applications in cryptography and number theory.
Definition: A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.
Primes under 100 (25 total): 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
Properties: - 2 is the only even prime - 1 is neither prime nor composite - There are infinitely many primes - Every integer >1 can be uniquely factored into primes
Testing method: - Trial division: Try dividing by all integers from 2 to √n - If none divide evenly, the number is prime