Twitter proofs

Below you can find all the blog posts with twitter proofs!

Twitter proofs are posts with ridiculously short proofs of mathematical facts.

Let's prove that if \(k\) is an integer, then \(\gcd(k, k+1) = 1\). That is, any two consecutive integers are coprime.

Let's prove that if you want to maximise \(ab\) with \(a + b\) equal to a constant value \(k\), then you want \(a = b = \frac{k}{2}\).

Let's prove that, if a set has size \(n\), then that same set has exactly \(2^n\) subsets.

Let's prove that there are two irrational numbers, call them \(a\) and \(b\), such that \(a^b\) is a rational number! And let's do it in a tweet.