Does every group whose order is a power of ..... 1. The problem statement, all variables and given/known data Does every group whose order is a power of a prime p contain an element of order p? 2. Relevant equations I'm trying to get away with only using Lagrange's Theorem and a corollary thereof. 3. The attempt at a solution Seems like I'm almost there. How do I seal the deal? Thanks in advance, brahs.