4 ms·
Wikipedia give a lower bound for BB(6) of 2^2^2^2^2^2... repeated 33554432 times, that's definitely a fast-growing function!
by sapiogram 1y ago
Wikipedia give a lower bound for BB(6) of 2^2^2^2^2^2... repeated 33554432 times, that's definitely a fast-growing function!
- jojomodding 1y agoAnd it gets that figure from this paper and the authors of this paper continuing to work on BB(6).
- mostly_a_lurker 1y agoHmm, I think you might be a bit underestimating? My understanding of up-arrow notation is: 2 ^^^ 5 means 2 ^^ (2 ^^ (2 ^^ (2 ^^ 2))) (with five 2's) = 2 ^^ (2 ^^ (2 ^^ (2 ^ 2))) = 2 ^^ (2 ^^ (2 ^^ 4)) = 2 ^^ (2 ^^ 65536), since Wikipedia calculates 2 ^^ 4 = 65536. Now 2 ^^ 65536 means 2 ^ (2 ^ (2 ^ ...))) with 65536 two's. Call that number N (too large to really describe). Then 2 ^^ N is 2 ^ (2 ^ ( ...)) with N two's.