Question and Answers Forum

All Questions      Topic List

Algebra Questions

Previous in All Question      Next in All Question      

Previous in Algebra      Next in Algebra      

Question Number 14109 by FilupS last updated on 28/May/17

(a^p −a) mod p = 0  when is this true?  a,p∈Z

$$\left({a}^{{p}} −{a}\right)\:\mathrm{mod}\:{p}\:=\:\mathrm{0} \\ $$$$\mathrm{when}\:\mathrm{is}\:\mathrm{this}\:\mathrm{true}? \\ $$$${a},{p}\in\mathbb{Z} \\ $$

Commented by ajfour last updated on 28/May/17

a=p     or just  a=1.

$${a}={p}\:\:\:\:\:{or}\:{just} \\ $$$${a}=\mathrm{1}. \\ $$

Commented by nume1114 last updated on 28/May/17

or p is prime.  (fermat′s little theorem)

$${or}\:{p}\:{is}\:{prime}. \\ $$$$\left({fermat}'{s}\:{little}\:{theorem}\right) \\ $$

Commented by RasheedSindhi last updated on 28/May/17

If p is prime and (a,p)=1.

$$\mathrm{If}\:\mathrm{p}\:\mathrm{is}\:\mathrm{prime}\:\mathrm{and}\:\left(\mathrm{a},\mathrm{p}\right)=\mathrm{1}. \\ $$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com