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Wilson's theorem

With Wilson's theorem, you can determine if a number is prime.

 


Explanation

If you can divide (p − 1)! + 1 by p, the number p is prime. The formula reads

When calculating factorials there emerge very large numbers quickly, so the formula is not very usefull.

 


Examples

The number 7 is prime, because

The number 4 is not prime, because

The number 2 is prime, because

 


History

The British mathematician John Wilson rediscovered this theorem of the Arab astronomer Alhazen in 1770.


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