# 367

This number is a prime. The Pythagorean Proposition by early 20th century professor Elisha Scott Loomis is a collection of 367 proofs of the Pythagorean Theorem. At least 367 people have to be gathered together in order to ensure that two of them share a common birthday--but far fewer usually suffices. [Beedassy] The largest number whose square (134689) has strictly increasing digits. [Beedassy] (367, 373) is the only pair of 3-digit primes p, q, such that p#+q and p#-q are simultaneously primes, for p, q consecutive primes. [Loungrides] The smallest prime whose digits form a scalene triangle. [Loungrides] If A = 2, B = 3, C = 5, D = 7, ... , Z = 101 then 'CHEN JINGRUN' is prime. Note that 367 is the 73rd prime number and 73 is part of a Chen prime pair. [Homewood] 367 = 19084/52 is a pandigital expression. [Gaydos] 100000 is the 367th positive integer that is a second power or higher of another positive integer. [Gaydos]

(There are 3 curios for this number that have not yet been approved by an editor.)