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    • T
      tidyboar M2 M3★ M5 M6 last edited by tidyboar

      Hello! My teacher gave me this question for extra credit the other day that I cannot solve 😞 Anyways I thought it was kind of cool. If you could help me that'd be great.
      Find all positive integer solutions to

      $$2^a +1=3^b$$

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      • divinedolphin
        divinedolphin M0★ M1★ M2★ M3★ M4★ M5★ M6★ last edited by

        One solution I found is a=b=1 because 2+1=3, but I don't know any other solutions.

        👕👕👕👕👕👕👕👕👕👕🍌🍌🍌🍌🍌🍌🍌🍌🍌🍌

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        • T
          tidyboar M2 M3★ M5 M6 last edited by

          Yeah I also found a=3 and b=2. I'm pretty sure there's no more solutions but I don't know how to prove that

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