Primepower
Prime power is a positive integer that can be written as p^k, where p is a prime number and k is a positive integer. If k = 1, the number is simply a prime; otherwise it is a higher prime power. Examples include 2, 3, 5, 7 (primes) and 4 = 2^2, 8 = 2^3, 9 = 3^2, 16 = 2^4.
Characterizations and basic properties. A prime power has exactly one distinct prime factor in its prime factorization.
Occurrence and context. An integer n > 1 is a prime power if and only if its prime
Related concepts. A related term is "perfect power," which refers to any number that can be written