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.
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Famous quotes containing the words prime and/or power:
“I did not know I was in my prime until afterwards.”
—Mason Cooley (b. 1927)
“Thy blood and virtue
Contend for empire in thee, and thy goodness
Share with thy birthright! Love all, trust a few,
Do wrong to none. Be able for thine enemy
Rather in power than use, and keep thy friend
Under thy own life’s key. Be checked for silence
But never taxed for speech.”
—William Shakespeare (1564–1616)