(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show that n^{2 [tex]\neq[/tex]}2 (mod6) for allnin Z

2. Relevant equations

3. The attempt at a solution

0 1 2 3 4 5

00 0 0 0 0 0

10 1 2 3 4 5

20 2 4 0 2 4

30 3 0 3 0 3

40 4 2 0 4 2

50 5 4 3 2 1

I did only the table for mod 6 and then I don't have an idea what to do.

I am not even sure if I understand what exactly I have to do with this problem.

Please help me if you can.

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# Need descrete math help

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