- Is Tree 3 bigger than Rayo's number?
- What is the last digit of tree 3?
- How big is the number Tree 3?
- What is a tree number?
- Is there anything bigger than Rayo's number?
- Is Tree 3 even or odd?
- Is Tree 3 not infinite?
- How do we know tree 3 is big?

Graham's number: TREE(3): appears in relation to a theorem on trees in graph theory. Rayo's number: The smallest number bigger than any number that can be named by an expression in the language of first order set-theory with less than a googol (10100) symbols.

7. Those are your last binary digits of TREE(3).

It can't even be compared to anything else in the universe. If we said that TREE(3) was like the size of our entire universe compared to the smallest known measurement, the Planck length, we would still be way off. We'd have to compare the Planck length to the size of a vast number of universes for an accurate scale.

0:109:00The Enormous TREE(3) - Numberphile - YouTubeYouTubeStart of suggested clipEnd of suggested clipOkay one tree at a time the first tree can't have more than one seed. The second tree can't haveMoreOkay one tree at a time the first tree can't have more than one seed. The second tree can't have more than two seeds. The third tree can't have more than three seeds.

The only current finite named number bigger than Rayo's number is BIG FOOT.

Introducing TREE(3) TREE(3) is so gargantuan, so incomprehensibly massive, that no human can ever visualize it, understand it, or conceptualize it. At least, we know that TREE(3) is finite and can be proved even with the help of finite arithmetics.

The reason TREE(3) is not infinite is that: You only have 3 colors. At stage n, you can use up to n nodes. You cannot draw a tree which embeds a previous tree, and a tree is defined by nodes and their nearest common ancestor.

With two seed colors, you can build three trees before you build one that contains a previous tree. So TREE(2) = 3. You might be able to guess where it goes from here. When you play the game with three seed colors, the resulting number, TREE(3), is incomprehensibly enormous.

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