Consecutive primes which are widely digitally delicate.
https://people.math.sc.edu/filaseta/C...

Data from the paper:
https://people.math.sc.edu/filaseta/C...

Here is the bonus footage.    • Infinitely Fragile Primes: bonus cont...  

And yes, the theme song (along with the remix) is on Bandcamp as 'pay what you want'. So you can download for free, or pay something to help support the channel. https://standupmaths.bandcamp.com/tra...

More than ever, thank you to my Patreon supporters for making this video possible. It is also their fault that the next SUM-007 will be called "The Spy Who Loved e". They got to vote on ten pun titles and "The Spy Who Loved e" beat second-place "No Time to π" 239 votes to 226.   / 53485855  

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CORRECTIONS
- At 00:33 there is a "33" which should be "53". Mistake first spotted by Andrew Foong but I'm going to claim it's some hidden message about the number 33.
- I say k is a "positive integer" a bunch when it should be "non-negative integer" to include zero. Like at 06:30, 08:48 and 14:35 (thanks Martijn Oostrom!). The formal statement on-screen at 17:15 is the official correct version showing that n is positive but k is non-negative.
- Robin Houston noticed that the on-screen text at 4:19 says Erdös instead of Erdős. Excuse me while I delete the whole channel.
- Let me know if you spot any more mistakes!

As always: thanks to Jane Street who support my channel. They're amazing.
https://www.janestreet.com/

Music by Howard Carter
Lyrics and vocals by Helen Arney
Animations by William Marler
Filming and editing by Matt Parker
Maths graphics by Sam Hartburn and Matt Parker
Colour grading by Alex Genn-Bash
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...