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**prime number**

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A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, 1 × 5 or 5 × 1, involve 5 itself. However, 4 is composite because it is a product (2 × 2) in which both numbers are smaller than 4.

text: wikipedia

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**Primes**are central in number theory because of the**fundamental theorem of arithmetic:**every natural number greater than 1 is either a prime itself or can be factorized as a product of primes that is unique up to their order.text: wikipedia

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