The Prime Bet

Let’s say you sit in a pub, minding your own business, when all of a sudden a stranger walks up to you and offers you a bet: We’ll choose two positive integers at random. If they have any divisor in common (other than \(1\)) I’ll pay you a dollar, else you’ll pay me a dollar. Are you in? Apart from the question what kind of establishments you frequent, you should be wondering: is this a good bet for you? [Read More]

Numbers of the World

Recently Matt Parker uploaded a video to his YouTube channel where he discussed numbers and the words used to represent them in different languages, more precisely the length of these words: The basic idea is the following: one has 3 letters, two has 3 letters, three has 5 letters, four has 4 letters, five has 4 letters, six has 3 letters, seven has 5 letters, eight has 5 letters, nine has 4 letters, ten has 3 letters, and so on… This can be seen as a function [Read More]