Generate Prime Numbers

Calculates prime numbers up to a specified limit, providing users with an organized sequence of these fundamental integers. The tool processes an input number, efficiently identifying every whole number within that range that is only divisible by one and itself. It outputs a clean list or array detailing each identified prime number, allowing for easy verification and study of number theory concepts. Students studying mathematics, number theorists, and programmers needing to test algorithms benefit from this resource. Users can quickly generate large lists of primes to verify mathematical proofs, populate datasets, or check the efficiency of primality testing code. It serves as a dependable utility for academic research and computational number analysis.