Can we assume this conjecture for the given N=10^18?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.
Problem 652
Forum rules
As your posts will be visible to the general public you are requested to be thoughtful in not posting anything that might explicitly give away how to solve a particular problem.
This forum is NOT meant to discuss solution methods for a problem.
See also the topics:
Don't post any spoilers
Comments, questions and clarifications about PE problems.
As your posts will be visible to the general public you are requested to be thoughtful in not posting anything that might explicitly give away how to solve a particular problem.
This forum is NOT meant to discuss solution methods for a problem.
In particular don't post any code fragments or results.
Don't start begging others to give partial answers to problems
Don't ask for hints how to solve a problem
Don't start a new topic for a problem if there already exists one
Don't start begging others to give partial answers to problems
Don't ask for hints how to solve a problem
Don't start a new topic for a problem if there already exists one
See also the topics:
Don't post any spoilers
Comments, questions and clarifications about PE problems.
-
_epistemologist
- Posts: 3
- Joined: Mon Aug 13, 2018 12:58 am
Problem 652
In the problem statement, it says
-
brob26
- Administrator
- Posts: 804
- Joined: Thu Nov 22, 2018 3:48 am
Re: Problem 652
If making this assumption leads you to a different answer, then you've disproved the four exponentials conjecture!_epistemologist wrote: Sun Jan 20, 2019 4:26 am Can we assume this conjecture for the given N=10^18?
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
