_{n}where n is the product of two distinct odd primes p and q and of Z

_{p}when p is a prime.

Another interesting type of exponentiation tables is that of Z

_{pk}when p is prime and k is any integer. If p is prime then p

^{k}has a primitive root so the only universal exponent mod p

^{k}is strictly φ(p

^{k}). In this case this is equal to:

φ(p

^{k}) = p^{k}− p^{k−1}= p^{k−1}(p − 1)Additionally, Z

_{pk}has elements i, j > 0 such that i

^{j}= 0 when i is any multiple of p. Therefore the rows i of the exponentiation table of Z

_{pk}that are multiples of p are simply 0 for j > 1