What is the biggest tangent of a prime?

What is your Mega-Favourite Number? The playlist of #MegaFavNumbers videos is here:    • MegaFavNumbers - The Even Amicable Numbers...   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: 1,169,809,367,327,212,570,704,813,632,106,852,886,389,036,911 This is the OEIS page for A249836: Numbers n for which tan(n) is greater than n. https://oeis.org/A249836 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. https://github.com/standupmaths/prime... CORRECTIONS 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   / standupmaths   As always: thanks to Jane Street who support my channel. They're amazing. https://www.janestreet.com/ 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/bo... UK book: https://mathsgear.co.uk/collections/b...