Given $a,b,p\in\Bbb N$ what is the computational complexity of computing $a^{p^b}\bmod p$? Is it $O((\log a)(\log b)(\log p))$ arithmetic operations on $\log p$ sized words?
$p$ need not be prime.
2026-04-04 13:04:00.1775307840
Arithmetic complexity of mod powers
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