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If I swap the digits of $\pi$ and $e$ in infinitely many places, I get two new numbers. Are these two numbers transcendental?

If I swap the digits of $\pi$ and $e$ in infinitely many places, I get two new numbers. Are these numbers transcendental?

If I swap the digits of $\pi$ and $e$ in infinitely many places, I get two new numbers. Are these two numbers transcendental?

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Asaf Karagila
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