prime number

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Generate a prime number

With this generator it is possible to generate a random prime number. An user can select the range of the prime number. Based on the range selection after clicking on the generate button, the prime number is generated. The generated prime number can be copied to the clipboard with the corresponding copy button.

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What is a prime number?

A prime number (or a prime) is a natural number that is greater then 1 and that has no positive divisors other then the number 1 and itself. For example, 7 is prime, because 7 can only be divided by 1 and itself. The fundamental theorem of arithmetic establishes the central role of primes in number theory: any integer greater than 1 is either a prime itself or can be expressed as a product of primes that is unique up to ordering. Prime numbers are very popular in modern encryption methods. The higher a prime number is, the more secure the encryption is since the factorization takes a very long time.

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