Tagged Questions
12
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A puzzle with powers and tetration mod n
A friend recently asked me if I could solve these three problems:
(a) Prove that the sequence $ 1^1, 2^2, 3^3, \dots \pmod{3}$ in other words $\{n^n \pmod{3} \}$ is periodic, and find the length of ...
1
vote
2answers
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Find the remainder in the following case where there's a infinite power tower of $7$.
What is the remainder when
$$7^{7^{7^{7^{.^{.^{.^{\infty}}}}}}}$$
is divided by 13?
I'm getting $6$. Is it correct?
