In Mathematics
149 is the 35th prime number, and with the next prime number, 151, is a twin prime, thus 149 is a Chen prime. 149 is a strong prime in the sense that it is more than the arithmetic mean of its two neighboring primes. 149 is an Eisenstein prime with no imaginary part and a real part of the form .
Given 149, the Mertens function returns 0. 149 is a tribonacci number, being the sum of the three preceding terms, 24, 44, 81.
149 is a strictly non-palindromic number, meaning that it is not palindromic in any base from binary to base 147. However, in base 10, it is a full reptend prime, since the decimal expansion of 1/149 repeats 006711409395973154362416107382550335570469798657718120805369127516778523489932885906040268 4563758389261744966442953020134228187919463087248322147651 infinitely.
Read more about this topic: 149 (number)
Famous quotes containing the word mathematics:
“It is a monstrous thing to force a child to learn Latin or Greek or mathematics on the ground that they are an indispensable gymnastic for the mental powers. It would be monstrous even if it were true.”
—George Bernard Shaw (1856–1950)
“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)