Is A^(p-1)-B^(p-1) divisible by p?

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  are whole numbers.

  is a prime number.

 

You choose a random number  .

Then there is always a number  

 

 

 

 

 

 

  is divisible by  .

Is A^(p-1)-B^(p-1) divisible by p. A different path.

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  are whole numbers.

  is a prime number.

 

There is a number   and there is a number  .

 

 

 

 

 

 

  is divisible by  .

Fermat's little theorem unravelled.

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  are whole numbers.

p is a prime number.

Here is the proof that   is divisible by  .  

 

 

 

 

 

 


The following is worth mentioning..

 

  is divisible by  

Analytical proof: Binomial development

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