Generation of prime numbers through online computation

1. A prime number is a fundamental concept in mathematics with many unique properties and applications.

2. Definition: A natural number greater than 1 that cannot be divided evenly by any other natural number except 1 and itself. In other words, a prime number has only two positive divisors: 1 and itself.

3. The smallest prime number is 2, which is also the smallest even prime number.

4. Prime numbers are widely used in cryptography, computer science, and number theory.