The Prime Bet

 Posted on map[Count:May 31, 2017]  |  9 minutes  |  1725 words  |  Markus Shepherd

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]
Apéry  Basel problem  Bet  constant  Coprime  Divisor  Euler  gcd  pi  Prime factor  Probability  Pub  Python  Random  Riemann  Wiles  Zeta function  Zhang 

Numbers of the World

 Posted on map[Count:October 20, 2016]  |  9 minutes  |  1841 words  |  Markus Shepherd

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]
binary  chain  connected component  cycle  Cypher  Danish  English  Esperanto  fixed point  French  German  GitHub  Graph  Indonesian  languages  Latvian  letters  literumi  Lithuanian  Matt Parker  Neo4j  nombroj  Norwegian  numbers  path  Polish  Portuguese  Python  recreational maths  Roman numerals  Russian  Spanish  spelling  words  world  YouTube