Prime power

Definition

A prime power is a natural number that is a power of a prime number. The first few prime powers are $1,2,3,4,7,8,9,11,13,16,17,19,23,25,27,29,31,32,\dots$.

Facts

• A finite group whose order is a prime power is termed a group of prime power order. Any group of prime power order is a nilpotent group. Further information: Prime power order implies nilpotent

Internal links

Subject wiki links

• number theory wiki