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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 birthdaybut far fewer usually suffices. [Beedassy] The largest number whose square (134689) has strictly increasing digits. [Beedassy] (367, 373) is the only pair of 3digit 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]
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