What is the biggest tangent of a prime?


From Standup Mathematician.

What is your Mega-Favourite Number? The playlist of #MegaFavNumbers videos is here:

If you make a video about a number bigger than 1,000,000 use the hashtag #MegaFavNumbers and we’ll add it to the playlist!

Here is my current mega-favourite number:

This is the OEIS page for A249836: Numbers n for which tan(n) is greater than n.

Thanks very much to Jacob Vecht for emailing me their new interesting integer. Keep an eye out for when all their newly discovered numbers appear on the OEIS.

These are the ones I found:
tan(1) = 1.6
tan(11) = -226
tan(33) = -75.3
tan(52174) = -181570.3
tan(260515) = 383610.7
tan(573204) = -3402633.8
tan(37362253) = 37754853.4
tan(42781604) = -85369290.4
tan(122925461) = 326900723.5

My terrible code is on github.

– None yet: let me know if you spot any mistakes!

Thanks to my Patreons who mean I can spend time wrangling a gaggle of youtubers into all making videos on the same topic. Here is a random subset of those fine Patreon People:

Louie Ruck
Claire Greenhalgh
Neil McGovern
Ron Hochsprung
Alan Flett
Matthew Schuster
Everett Chouinard
Alex Hackman
Sjoerd Wennekes
Samuel Ytterbrink


As always: thanks to Jane Street who support my channel. They’re amazing.

Filming and editing by 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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