How do you prove a prime is infinitely fragile?

Video Description

Consecutive primes which are widely digitally delicate. https://people.math.sc.edu/filaseta/ConsecutiveDigitallyDelicatePrimes2021.pdf Data from the paper: https://people.math.sc.edu/filaseta/ConsecutiveWDDPrimes.html Here is the bonus footage. https://youtu.be/wtzgbJuHSfM 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/track/digits-are-forever-inc-prime-remix 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. https://www.patreon.com/posts/53485855 Help support and shape the videos I make! https://www.patreon.com/standupmaths 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/books/610964/humble-pi-by-matt-parker/ UK book: https://mathsgear.co.uk/collections/books/products/humble-pi-signed-paperback