What is the biggest tangent of a prime?

From Standup Mathematician.

What is your Mega-Favourite Number? The playlist of #MegaFavNumbers videos is here:
https://www.youtube.com/watch?v=R2eQVqdUQLI&list=PLar4u0v66vIodqt3KSZPsYyuULD5meoAo

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_tan/

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

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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/
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