Maths on a Mug #16

#mathsonamug pic.twitter.com/Rd0IAC9YHw — Sean Elvidge (@seanelvidge) November 17, 2016 Perhaps a “simple” #mathsonthemug this time. Simple, but very important. This is Bayes’ theorem: \[P(A|B) = \frac{P(B|A)P(A)}{P(B)}.\] This relates the probability of observing \(A\) given that \(B\) is true where \(A\) and \(B\) are events, we also require that the probability of \(B\) does not equal

Maths on a Mug #11

#mathsonamug #maths pic.twitter.com/REPJ4xFhT9 — Dr. Sean (@seanelvidge) January 22, 2016 Primes. Primes. Primes. The hunt continually goes on for the next biggest. Well, yesterday, we found a new largest. \(2^{74207281}-1\) is the 49th Mersenne Prime that has been found. It is 22,338,618 digits long (click the link to download the whole number, be warned though, the file is