337 (another Prime Pages' Curiosity)
 Curios: Curios Search:   Participate: The smallest prime formed from the concatenated factors of a repunit (3 * 37). 337 = 2^(2^3) + 3^(2^2). [Kulsha] 813 + 1623 = 97. Note the exponents. [Rubin] Starting with prime 337, the alphabet code value of EMIRP is emirp 1741. [Poo Sung] The first occurrence of two consecutive 3-digit emirps in the sequence of primes. [Beedassy] 337# - 1 is a primorial prime. [Patterson] The canvas of the famous painting 'The Night Watch' by Rembrandt van Rijn, weighs 337 kilograms. [Bakker] The sum of the areas of the rectangles in this Fibonacci paradox: if we divide a 13-by-13 square into four pieces as shown below, they can apparantly be rearranged into the one unit smaller 8-by-21 rectangle. [Caldwell] 3!3! -/+ 7 form consecutive primes. [Beedassy] The smallest 3-digit prime that is an absolute, prime-digit, left-truncatable prime (and of course, an emirp and circular prime). [Green] The smallest emirp which when prefixed to the smallest pandigital string forms another emirp: 3370123456789. [Beedassy] The mean of the first 337 square numbers is itself a square. This is a first occurrence. [Jones] "Show that J_3 = 3 Pi Zeta(3) and hence that there are, on average, about 337 neutrinos, left over from the Big Bang, in each cubic centimetre of your Universe." Reference: David Broadhurst, Feynman's sunshine numbers. [Post] Constantine I died in the year 337, after ruling for 31 years. He was the first of 11 Emperors named Constantine to rule the Byzantines. Note that 11, 31, 337, and their reversals are all primes! A penguin known as No. 337 scaled a rock wall and escaped from the Tokyo Aquarium. [Reuters] (There are 3 curios for this number that have not yet been approved by an editor.) Prime Curios! © 1999-2013 (all rights reserved)