>>12690117Say a computer uses all of its 1T of memory to store a number. The number of binary digits it can store is 8 * 1000^4 = 8 000 000 000 000 = x.
ln(ln(x)) < log_2 (log_2 (x)) < log_2 (8 000 000 000 001) = ~42.86, which is very large for ln(ln(x)). I'd bet no computer on earth can store a number the log of whose log is greater than 100.
>>12690079Take the integral of the derivative:
It's clear that the integral is unbounded since it's strictly greater than the right-handed Reimann sum with intervals of size one, which the harmonic series.
