Talk:Euler's sum of powers conjecture: Difference between revisions

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(answered Fermat's little theorem question)
 
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(Reading that code, I'm having trouble deciding whether it could work for arbitrarily large values of N.) --[[User:Rdm|Rdm]] ([[User talk:Rdm|talk]]) 17:21, 8 July 2015 (UTC)
 
ANSWER: Fermat's little theorem says x^p == x (mod p). Think of this as saying x^{p-1} == 1 OR x == 0 (mod p). NowThis implies that x^{5K(p-1)+1} == x^{3-1}^ (mod p) for any K. So we combine p=2, soK=4 it(trivial); isp=5, K=1 mod(direct application of FlT; and p=3, K=2 (the case you are looking at). In every case we show x^5 == x. --[[User:TomHyer|Tom Hyer]]
 
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:: It was just a mean to demonstrate that '''N = 0,1,2 (mod 3) implies N^5 = 0,1,2 (mod 3)'''. I do'nt know any more. This is not used in EchoLisp solution to the task. In this '''talk''' 'Echolisp solution' only means I computed the powers of 3p+i polynomials with EchoLisp. I should have written 'EchoLisp solution to your question in this talk' .Sorry for the misunderstanding. --[[User:G.Brougnard|G.Brougnard]] ([[User talk:G.Brougnard|talk]]) 05:53, 9 July 2015 (UTC)
 
== What if we were to create a program where power was much larger than 5?(like 20+) ==
 
Clearly none of the optimisations provided in c++ would be able to tackle such a quantity without even considering that c++ isn't very good with large integers