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.
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