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Prime numbers are important for several applications, such as cryptography and information technology. They are also useful for some simpler tasks in mathematics (for example, finding the common factors of two numbers).

Prime numbers are usefull in encryption because code breaking computers employ search algorithms that keep multiplying numbers together In order to find a combination to break the code, but if you have a very large prome, the code breaker probably won't find it.

The Unique-Prime-Factorization Theorem is so useful, that it is also called the Fundamental Theorem of Arithmetic.

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