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Integer

Every integer greater than 1 is either prime itself or is the product of prime numbers, and that, although the order of the primes in the second case is arbitrary, the primes themselves are not.

 


Explanation

This is the fundamental theorem of arithmetic.

 


Examples

On a Casio fx-82EX calculator, you can see that

666 = 2 × 32 × 37
1014 = 2 × 3 × 132
6936 = 23 × 3 × 172

 


History

The Greek mathematician Euclid composed the most influential book in the history of mathematics, Elements, in 300 BC. In it, the product of prime numbers was already mentioned.


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