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Old 2005-03-24, 16:41   #3
Bronze Medalist
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Jan 2004

40048 Posts
Thumbs up Fermat's theorem

Originally Posted by Crook
We all know fermat's theorem that states: if p is a prime and (p,a)=1 then p divides a^(p-1)-1. I noticed that p divides also: a^k(p-1)-1. Is this a well known characteristic?

Second question: what about the infinite sums -c, and in particularly when c=1 ? like 1-1+1-1+...

Last question: does anybody know if new progresses were made in defining the necessary conditions for a function to be defined with a Fourier series?


2nd. Question: take the first term separately and group the next in twos
We get the sum as (1)
Any other grouping will give (0)
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