A positive integer not divisible without a remainder by any positive integer other than itself and one. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29. As we proceed in the set of natural numbers N = {1, 2, 3, ...}, the primes become less and less frequent in general. A computer can be used to test extremely large numbers to see if they are prime. but there is no limit to how large a natural number can be. there is always a point where testing in this manner becomes too great a task even for the most powerful supercomputers. Various algorithms have been formulated in an attempt to generate ever-larger prime numbers. These schemes all have limitations. Prime numbers are whole numbers that must be greater than 1. Zero and one are not considered prime numbers. A prime number can be divided, without a remainder, only by itself and by 1. A prime number can be divided, without a remainder, only by itself and by 1. The property of being prime is called primality. Modern primality tests for general numbers n can be divided into two main classes, probabilistic (or "Monte Carlo") and deterministic algorithms.
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