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““Despite their ubiquity on the number line, transcendentals are surprisingly hard to pin down. It took until 1873 to prove that e was transcendental, making it the first number we knew for definite was. The poster-child of maths, pi, didn't join the transcendental fold until 1882. Even today, we know that at least one of e + pi and e × pi is transcendental, but we have no idea which. On David Hilbert's 1900 list of important maths problems to solve, one of them involved checking if e^pi is transcendental, and since 1934 we have known that it is. However, e^e, pi^pi, and pi^e are still open problems. Transcendentals are really hard to find in the wild.””

Matt Parker

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