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:
“I must study politics and war that my sons may have liberty to study mathematics and philosophy.”
—John Adams (1735–1826)
“The three main medieval points of view regarding universals are designated by historians as realism, conceptualism, and nominalism. Essentially these same three doctrines reappear in twentieth-century surveys of the philosophy of mathematics under the new names logicism, intuitionism, and formalism.”
—Willard Van Orman Quine (b. 1908)