I once tried to understand
Graham's number and my brain broke.
OK, take the number 3. Now, imagine the number 3
33, which is 7625597484987. This is the number of 3's in the next sequence, 3
33... which has 7625597484987 3's all raised to each other's power. Now, you're not done; you need to keep making towers of 3s with the number of 3s that is the last number you get until you've done it "7625597484987 3's all raised to each other's power" times.
This is what we call g
1, also written 3^^^^3, where ^ is exponentiation, ^^ is tetration (i.e., repeated exponentiation, e.g., 5^^2 = 5^5, 5^^6 is 5^5^5^5^5^5), ^^^ is repeated tetration, etc.
Now, for g
2, you take g
1, and that it
how many ^ symbols go between the next pair of 3s. So, that ridiculous a level of operation with repeating every level before it. Then, for g
3, you take g
2 ^ symbols, and so on until you reach Graham's number, which is g
64.
Not sure if my explanation is flawed. It might be.
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TKB Super Mario Bros. β’
TKB Super Mario Bros., Volume II