Sleeping Cyborg

Jonathan David Page talks about whatever he happens to be thinking about. Sometimes other people join in.

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bearjcc asked: What number do you get when you call the Ackermann function with Graham’s number as arguments?

by on 28 April 2011
under ,
with some comments maybe

The Ackermann function is a mathematical function that returns really really large numbers. For example, A(4,2) is an integer with over 19,700 decimal digits.

Graham’s number is a holy-moly massively horrifyingly huge number which makes a googolplex look like diddly squit. Actually, it makes numbers which make numbers which make googolplex look like diddly squit look like ant droppings look vanishingly small. It it unimaginably huge. I do not have words to explain how much massively huger than pretty much any number you can think of it is.

As you can imagine, A(g_{64}, g_{64}) is quite a large number.

PS— I’ll answer the e^{\pi i} question soon, I want to type out a proper explanation for that.