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Problem 836

Posted: Sun Apr 02, 2023 9:10 am
by neverforget
Problem 836 (View Problem)

I'd add a small note at the bottom saying that for this problem, $57$ is considered to be a prime number.

Re: Problem 836

Posted: Sun Apr 02, 2023 9:47 am
by hk
Does that help with finding the correct answer??? Or in spreading more mist??

Re: Problem 836

Posted: Sun Apr 02, 2023 11:10 pm
by neverforget
perhaps I made a mistake in my calculations, but if you take Axiom of Choice then the premise ($f$ being well-defined for $p=57$ and odd $m$) seems to require $57$ to be prime. And without Axiom of Choice then $f$ being well-defined is equivalent to the Riemann Hypothesis (which AFAIK has not yet been proven)

Also, I had to consider $0$ to be a number, but that's probably much less controversial.

Another note: it's probably obvious that $f$ does not behave well when $p=2$, but may as well mention that $p\neq 2$, in case someone gets confused.

Re: Problem 836

Posted: Tue Feb 24, 2026 2:20 pm
by cat_good
read the entire problem!!!!!!!!!!!!!!