The adventures of David Cushing

A few weeks ago I remembered a puzzle I once saw known as the crossed ladders theorem. The way I remembered was: I have two poles sticking...

Recently I have thought a lot about the square numbers and in particular arithmetic progressions of squares. Today I wondered what propertie...

Today I would like to discuss a conjecture I recently made in additive combinatorics. I will award £5 for a solution to this conjecture. Fir...

Last time I talked about the abc conjecture. I would like to mention it a little more today. Just to recap here is the conjecture again, ...

I haven't done a blog post for a very longtime so I think I should return with something I think is special. I.e. THE ABC CONJECTURE! ...

I was recently reminded of Fermats result on when a prime number can be expressed as the sum of two squares. This then got me thinking on wh...

It is someone in my offices 26th birthday today. Last year he was a square age and next year he will be a cube age. I wondered whether this ...