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Unsolved Challenge Solving equation in natural number

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MHB POTW Director
Staff member
Feb 14, 2012
What is the natural $y$ from $144+{{144}^{49}}+{{144}^{{{49}^{2}}}}+{{144}^{{{49}^{3}}}}+...+{{144}^{{{49}^{2018}}}}=3({{y}^{4038}}-1)$?


Well-known member
MHB Math Helper
Aug 30, 2012
y must be an odd number. Yippee!!! I got somewhere with it! (Sun)

I rewrote it into (what I think is) a simpler form but it tells me nothing. I'm going to be up all night trying to grok this one.