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# Question and Bug?

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I tried registering in an account but the server kept on having an internal server error can anyone help me?

I found this question $$13^{13}+5 \equiv r \mod{6}$$ they are asking for the value of r and it's easy enough through patterns but I was wondering if there was any other method to solve this.

Sep 4, 2019
edited by Guest  Sep 4, 2019

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$$\text{The key is that}\\ a^n \mod p = (a \mod p)^n \mod p$$

$$13^{13}+5 \mod 6 = \\ 1^{13} + 5 \mod 6 = \\ 6 \mod 6 = 0$$

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Sep 4, 2019