108

This number is a composite.

+ 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]

+ The sum of first 108 primes is prime. [Bajpai]

Printed from the PrimePages <t5k.org> © G. L. Honaker and Chris K. Caldwell