It works by iteratively marking the multiples of each prime, starting from 2. This ancient algorithm is used to find all primes up to a specified integer. One of the most famous is the Sieve of Eratosthenes. While there isn't a straightforward formula to generate prime numbers (since they are distributed somewhat sporadically among integers), there are methods and algorithms to determine if a number is prime. They play a crucial role in various areas of mathematics and have applications in computer science, cryptography, and many other fields. The concept of prime numbers is foundational in number theory, and these numbers have intrigued mathematicians for centuries. This means that a prime number cannot be divided evenly by any other number except for 1 and the number itself. This prime numbers list tool is used to generate the list of prime numbers from 1 to a number you specify (up to 10,000).Ī prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.