Prime Number Generator
Generate prime numbers in any range using efficient algorithms
Range Settings
Enter the range to generate prime numbers
Minimum: 1 (primes start from 2)
Maximum: 1,000,000
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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
- • Building blocks of integers
Examples
- • First 10: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29
- • Twin primes: (3,5), (5,7), (11,13)
- • Mersenne primes: 2^p - 1
- • Used in cryptography (RSA)
- • Fundamental in number theory