olymmath

KöMaL 2015 B4688

    Which of the numbers below is greater if each expression contains 50 twos and 50 threes alternating: 2323...232^{3^{\scriptstyle 2^{\scriptstyle 3^{\scriptstyle .^{\scriptstyle .^{\scriptstyle .^{\scriptstyle 2^{\scriptstyle 3}}}}}}}} or 3232...323^{2^{\scriptstyle 3^{\scriptstyle 2^{\scriptstyle .^{\scriptstyle .^{\scriptstyle .^{\scriptstyle 3^{\scriptstyle 2}}}}}}}}?

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