jj72-
The arrows you mean? https://en.wikipedia.org/wiki/Knuth%27s_up-arrow_notation
For most people it comes under the realm of "maths trivia" because it's never practically useful. You wouldn't have seen it before unless you hang around with maths nerds or read about maths for fun. So I wouldn't feel stupid if I were you.
Graham's number is a fucking massive number that is an upper bound/maximum on the answer to some question about colouring.
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I feel a bit stupid.
You and me both mate. (Edit- joke doesn’t quite work... apologies).
Either way I think you've vastly underestimated it:
Haha thanks for putting it politely, from what you’ve posted.
G1 is 3↑↑↑↑3 = 3↑↑↑(3↑↑↑3). That is 3↑↑(3↑↑(3↑↑(3... this series of numbers is 3↑↑↑3 long and a ↑↑ operation is basically a power tower. At the end of the sequence, you've got 3²⁷, then you form a power tower that is 3²⁷ long, then a power tower that is that long, and so on. You repeat this 3↑↑↑3 times...
Seems I missed a few power towers... The length of G1 sequence is 3↑↑↑3; is it correct that the length of each subsequent sequence would increase until G64 is reached?
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frankenbike
Adhiero
By ^ do you mean up arrow (↑) or exponent?
Either way I think you've vastly underestimated it:
3↑↑↑3 is 3↑↑(3↑↑3) which is 3↑↑(3²⁷). So a power tower of 3s that is 3²⁷ long.
G1 is 3↑↑↑↑3 = 3↑↑↑(3↑↑↑3). That is 3↑↑(3↑↑(3↑↑(3... this series of numbers is 3↑↑↑3 long and a ↑↑ operation is basically a power tower. At the end of the sequence, you've got 3²⁷, then you form a power tower that is 3²⁷ long, then a power tower that is that long, and so on. You repeat this 3↑↑↑3 times...
G2 is a 3 followed by G1 arrows and then 3. Graham's number is G64