In mathematics, a prime power is a positive integer power of a prime number. For example: 5=51, 9=32 and 16=24 are prime powers, while 6=2×3, 15=3×5 and 36=62=22×32 are not. The twenty smallest prime powers are:
- 2, 3, 4, 5, 7, 8, 9, 11, 13, 16, 17, 19, 23, 25, 27, 29, 31, 32, 37, 41, ... (sequence A000961 in OEIS)
The prime powers are those positive integers that are divisible by just one prime number; prime powers and related concepts are also called primary numbers, as in the primary decomposition.
Read more about Prime Power: Popular Media
Famous quotes containing the words prime and/or power:
“The prime purpose of being four is to enjoy being four—of secondary importance is to prepare for being five.”
—Jim Trelease (20th century)
“Power corrupts the few, while weakness corrupts the many.... The resentment of the weak does not spring from any injustice done to them but from the sense of their inadequacy and impotence. They hate not wickedness but weakness. When it is in their power to do so, the weak destroy weakness wherever they see it.”
—Eric Hoffer (1902–1983)