An International Mathematical Olympiad level Number Theory problem.

Can you figure out if this is an integer?

This problem is from the Pan African math Olympiad, before looking at the solution…

An integral from Putnam 1969

Before looking at the solution, give the problem a go!

The Dirichlet integral… with the integrand squared!

Which is larger, e^π or π^e?

In this story we’re going to consider problems of the type which is larger, a^b or b^a. Before looking at the…

A functional equation from the Swedish Mathematical Olympiad

A probability question from the Cambridge maths entrance exam.

The famous sin quotient integral

This integral is extremely famous and it goes as follows:

A limit with a nice trick

A seemingly difficult limit, with an elementary trick. Can you figure it…

A simultaneous equation from Putnam

Putnam is one of the most well known undergraduate maths competitions in the world. To some, it…