# Prime number

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A **prime number** is an integer (whole number) greater than one that is divisible only by itself and one. There are an infinite number of prime numbers, the first few of which are 2, 3, 5, 7, 11, 13, ….

## Prime factorization

By the fundamental theorem of arithmetic, any ratio can be uniquely represented by a product of prime numbers through prime factorization. It enables the notation of ratios as monzos.

## Prime equal division

*Main article: Prime equal division*

A prime equal division is an equal-step tuning that divides a given equave into a prime number of pitches. They are notable because of many interesting properties.

## See also

## Links

- Die Primzahlseite (German) by Arndt Brünner (helpful tools for prime factorization and ~test)