Confined to a particularly geeky section of all of our minds, is part us of that thinks about very large numbers. As children, we tried to think of the largest numbers we could. It seems that sometimes there is a point where numbers become so arbitrarily large that we find them difficult to comprehend, and need to use analogies. But this number, has a claim to be the largest number ever used for constructive purposes. It’s so large, that it’s almost impossible to describe how large it is. This is Graham’s number.
The first question you are probably asking is “Who’s Graham?”. This is Ronald Graham, an American mathematician born in 1935 from California. He began looking into Ramsey Theory, a field in Combinatorics, which generally poses problems in the following style.