number theory

Problem Description A very interesting property of $10!$ is that $$ 10!=6!\cdot 7! $$ Can we find other examples of factorials that are products of other factorials like this? Clearly there are “trivial” answer such as $$ 24!

Problem Description This problem has claimed the sanity of more mathematicians then you can possibly imagine. It is not for the faint of heart. It might look simple, but its not.

Problem Description This problem is one that I have tinkered around with a lot, and work that I am actually quite proud of. Sadly this problem is an equivalent formulation as the Riemann Hypothesis, so I will likely never actually prove it, however theres some cool progress that I can make on manual computations.

Problem Description Silly memes have shown the idea of “the forbidden math” in which students could come to the correct answer of a math problem through incorrect assumptions. The original shown is the following.

Problem Description How is it possible that genuine mathematical research could be gleamed from the depths of anime fandoms and anonymous message boards? The world of mathematics is bonkers and insights of ingenuity can come from anywhere, even if it takes some time for the genius to be appreciated.