About Prime Numbers
A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. This tool uses the Sieve of Eratosthenes algorithm for efficient prime generation.
Properties
- •Only divisible by 1 and itself
- •2 is the only even prime number
- •All other primes are odd
- •Infinite number of primes exist
- •Building blocks of all integers
Examples & Applications
- •First 10: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29
- •Twin primes: (3,5), (5,7), (11,13), (17,19)
- •Mersenne primes: 2^p - 1 where p is prime
- •Essential in RSA cryptography
- •Fundamental in number theory research