108 (another Prime Pages' Curiosity)
 Curios: Curios Search:   Participate: GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits) 108 = 22 * 33 (the product of the first two primes raised to themselves). [Sladcik] The difference between the smallest (136) and second smallest (244) sums of squares (a^2 + b^2) where both a and b have more than one prime factor. [Hunter] 108 can be written as the sum of a cube and a square (a^3 + b^2) in two ways. [Hunter] The concatenation of 108 with its previous and next number is prime, i.e., 108107 and 108109 are primes. [Bopardikar] The smallest possible sum for a set of six distinct primes such that the sum of any five is prime: {5, 7, 11, 19, 29, 37}. [Honaker , Noe , Porter] (There is one curio for this number that has not yet been approved by an editor.)   To link to this page use /curios/page.php?number_id=740 Prime Curios! © 2000-2019 (all rights reserved)  privacy statement   (This page was generated in 0.0085 seconds.)