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Problem 652
Posted: Sun Jan 20, 2019 4:26 am
by _epistemologist
In the problem statement, it says
Note: According to the four exponentials conjecture the function logm(n) is proto-logarithmic. While this conjecture is yet unproven in general, log_m(n) can be used to calculate D(N) for small values of N.
Can we assume this conjecture for the given N=10^18?
Re: Problem 652
Posted: Sun Jan 20, 2019 8:19 am
by brob26
_epistemologist wrote: Sun Jan 20, 2019 4:26 am
Can we assume this conjecture for the given N=10^18?
If making this assumption leads you to a different answer, then you've disproved the four exponentials conjecture!
So either it's fine to assume the conjecture holds for larger N, or you settle a currently unsolved problem in number theory. Either way, progress is made
