3 ms·
10↑↑4 is Knuth's arrow notation, it means 10^(10^(10^10)). Which is really big. The inner exponent 10^10000000 is already way, way over the limit of computa
by csense 10mo ago
10↑↑4 is Knuth's arrow notation, it means 10^(10^(10^10)). Which is really big. The inner exponent 10^10000000 is already way, way over the limit of computational steps you have any hope of physically computing [2] without some kind of algorithmic shortcut.
[1] https://en.wikipedia.org/wiki/Knuth%27s_up-arrow_notation https://en.wikipedia.org/wiki/Knuth%27s_up-arrow_notation
[2] I wave my hands and put this limit at about 10^70. The universe has ~10^40 atoms and a trillion years is ~10^30 nanoseconds. So 10^70 is approximately "How many computations you could do if you turned every atom in the universe into a 1 GHz CPU and ran them for a trillion years." (Assuming magical technology that doesn't need power / cooling / communications and parallelizes perfectly.)