Why π^π^π^π could be an integer (for all we know!).

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Check out the Jane Street programs if you're considering a mathematics/finance/programming job: https://www.janestreet.com/join-jane-street/our-programs/ Here is Tim Gowers's reply to the original tweet: https://twitter.com/wtgowers/status/1346212151581700096 Start your Schanuel's Conjecture journey here: https://mathworld.wolfram.com/SchanuelsConjecture.html 3^3^3^3 on wolfram alpha: https://www.wolframalpha.com/input/?i=3%5E3%5E3%5E3 And for completeness, here is pi^pi^pi^pi: https://www.wolframalpha.com/input/?i=pi%5Epi%5Epi%5Epi If you have opinions about my 2n conjecture, send an email to matt+puzzles@standupmaths.com Here is my Numberphile video about types of numbers. https://www.youtube.com/watch?v=5TkIe60y2GI CORRECTIONS: - None yet, let me know if you spot any mistakes! Thanks to my Patreons who are also vital in keeping the videos coming. Stock audience clips don't come cheap. https://www.patreon.com/standupmaths As always: thanks to Jane Street who support my channel. They're amazing. https://www.janestreet.com/ Editing by Alex Genn-Bash Maths graphics by Sam Hartburn and Matt Parker Music by Howard Carter Design by Simon Wright and Adam Robinson MATT PARKER: Stand-up Mathematician Website: http://standupmaths.com/ US book: https://www.penguinrandomhouse.com/books/610964/humble-pi-by-matt-parker/ UK book: https://mathsgear.co.uk/collections/books/products/humble-pi-signed-paperback

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