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:
“Weekend planning is a prime time to apply the Deathbed Priority Test: On your deathbed, will you wish you’d spent more prime weekend hours grocery shopping or walking in the woods with your kids?”
—Louise Lague (20th century)
“What is good?—Everything that heightens the feeling of power, the will to power, power itself in man.”
—Friedrich Nietzsche (1844–1900)