65535 (number) - in Mathematics

In Mathematics

65535 is a Mersenne number, being . But since its index, 16, is not prime, 65535 cannot be a Mersenne prime. It is the product of the first four Fermat primes: 65535 = (2 + 1)(4 + 1)(16 + 1)(256 + 1). Because of this property, it is possible to construct with compass and straightedge a regular polygon with 65535 sides. See constructible polygon.

65535 is the 15th 626-gonal number, the 5th 6555-gonal number, the 3rd 21846-gonal number.

Read more about this topic:  65535 (number)

Famous quotes containing the word mathematics:

    Why does man freeze to death trying to reach the North Pole? Why does man drive himself to suffer the steam and heat of the Amazon? Why does he stagger his mind with the mathematics of the sky? Once the question mark has arisen in the human brain the answer must be found, if it takes a hundred years. A thousand years.
    Walter Reisch (1903–1963)

    I must study politics and war that my sons may have liberty to study mathematics and philosophy.
    John Adams (1735–1826)