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Q: Is this conjecture well-formed (and can it be proven)?

MichaelRushtonFor all positive integers $n$, one of these is true: $$ \begin{array}{l} 3^0\cdot{n}=2^a\\ 3^1\cdot{n}=2^a-(3^0\cdot2^b)\\ 3^2\cdot{n}=2^a-(3^0\cdot2^b)-(3^1\cdot2^c)\\ 3^3\cdot{n}=2^a-(3^0\cdot2^b)-(3^1\cdot2^c)-(3^2\cdot2^d)\\ ... etc. \end{array} $$ (The specific values of $2^a, 2^b, 2^c, ...e...

 
 
1 hour later…
10:08 AM
how many times has this question been asked recently? math.stackexchange.com/questions/4545651/…
 
 
3 hours later…
12:53 PM
C1, C2, C3
 
1:40 PM
 
[ SmokeDetector | MS ] Few unique characters in body (95): ...................... ✏️‭ by Sidelined0183‭ on math.SE
 
 
2 hours later…
3:21 PM
 
3:35 PM
Is there any reason to keep this question around? It seems extremely niche, and I am not sure that I understand why the conjecture is interesting. Ec primes with exponent multiple of $139$‭ - Pirofotulis‭ 2022-09-30 08:33:12Z
 
 
4 hours later…
7:21 PM
This was flagged as a contest problem (Polish Math Olympiad). I cannot verify this (no link was provided), but it is a terrible question. Maybe it can be deleted? Solving the system $a^2+4ab+b^2=1$, $b^2+4bc+c^2=1$, $c^2+4ac+a^2=-2$‭ - Ziomek‭ 2022-10-05 16:45:06Z
 
8:11 PM
@XanderHenderson The Polish Math Olympiad home page has, on the right side, the time periods of the various degrees and series of their competitions. The current one started on Sept. 1 and ends on Oct. 17. However, there are no links there and, as far as I can tell (but I didn't check extensively), the contest problems are currently not publicly available. This could be why no link was provided.
 
 
1 hour later…
9:31 PM
@XanderHenderson I just checked again and noticed there's actually a link on that Polish Olympiad home page to their current contest questions, with the post you referenced asking about question #2 there.
 

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