Hi, nice to meet you.

I'm just going to skip over some formalities and get to my point, since formalities bore me. Except the word. That word is fun to type. Because of a certain thing that happened on a forum, I've discovered something. Someone's probably discovered it prior, but I still find it interesting.

As the xkcd number is A(g_64,g_64), I had decided to use Knuth's up-arrow notation to make it slightly less... abstract. I ended up with (2↑G-2(G+3))-3 - this'd be in official math notation if I could figure out how to work the darn thing. After reading a bit on hyperoperators and the up-arrow notation, I concluded that ↑G-2 is the same as hyper-G, or the hyperoperator function of Graham's Number, in the same way that standard "powers" are hyper-3. Since this was developed from the xkcd number, I decided to call this the "xkcd hyperoperator". Since tetration can make numbers large rather quickly, pentation can make numbers large even faster, and hextation is even more dramatic, I concluded that hyper-G is a very easy way to get large, well-defined, but abstract numbers.

This was in a competition on who could get the largest number, sort of like a certain one done on the xkcd forums. It technically has no end, so I didn't technically "win", however I did learn something.

Due to the "king of the hill" nature of the competition, I was (and sort of currently am, as this happened not too long ago) declared the "winner", for a time. While, in theory, someone had developed a number that could become larger, they did not completely define it.

But I ramble.

Blog over.

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