Suppose we are given some arbitrary positive integer. How can we check whether the integer is a prime power? Brute force would be very inefficient in this case.
2026-04-08 14:28:25.1775658505
Algorithm for checking Prime Power
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There are "essentially linear time" algorithms to check wether a number is a perfect power (see also this paper).
After that you can check wether the number is prime using one of the many known primality test (Miller-Rabin is probably the best combination of ease to implement and speed if you're not dealing with huge numbers)