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Early access: Digits Are Forever (Patreon)

Published:
2021-07-28 08:37:56
Imported:
2021-07

Content

You've seen the opening titles, now watch the whole video!

It took me a while to finish the edit but the Digits Are Forever video is finally uploaded. I'll probably make it public in about six or so hours but thought you might like to see if first.

Let me know if you spot any mistakes. There is still times to fix anything particularly grievous.

PS I have about six videos nearing the end of post-production so get ready for a burst of uploads.

Files

How do you prove a prime is infinitely fragile?

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 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 I wrote and it beat "No Time to π" in second place, 239 votes to 226. https://www.patreon.com/posts/53485855 Help support and shape the videos I make! https://www.patreon.com/standupmaths CORRECTIONS - Nothing yet, let me know if you spot any 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

Comments

Frank Gevaerts

This will have to wait until after I've finished listening to APS 021 :)

standupmaths

Most of it is me talking about my recent injuries.

Simon Donkers

B=1mod3 doesn't sound right to me. Shouldn't it be B mod3+1=0 Through not as catchy

Frank Gevaerts

I've heard it said that the digits on your feet are forever! I hope everything is healing properly and you can get back to moving around normally soon.

Andrew Foong

At 33 seconds: 33 isn't a prime. I think it's meant to be 53?

standupmaths

Ha. Looking forward to having an integer number of toes again instead of a fraction. But yes, I'm about 95% healed now.

Simon Donkers

#671046209 signing off. Some ups and downs in your prime list. Nice everyone is alphabetically, why did you miss me. It loops, you missed again. Skylab does look awesome❤️

standupmaths

Good catch! Urg, section that would be a pain to re-render. I could probably fix it with a patch in the edit. I'll see if anything else needs fixing and then decide if it's worth doing this one. (Voice your opinions now!)

Martijn Oostrom

At 8:48, wouldn't k have to be a nonnegative integer, not a positive integer? Currently, the formula has no way of adjusting the units digit. Edit: Same story at 6:30 (nonnegative vs. positive), but this is less important Edit: And I think 14:35, though I'm not entirely sure

Andrew Foong

Eh, honestly a note calling it out in the description is enough for me

standupmaths

Everyone is in there once! It's alphabetical by last letter and then first letter.

standupmaths

I have to admit in the blur of filming I got a bit all-over-the-place on when zero is included or not. Is it worth a correction note or is the formal statement on-screen at 17:15 enough to cover me just saying "positive"? (Which to be fair, I do again then!)

_ericBG

The audio feels a bit weird in the "covering systems" part, I'm not sure why EDIT: and on the scrolling through the paper part

Ingrid

My digitally delicate prime number is 294,728,491 I always felt something special whenever I saw that number in the past, now I know why!

Cass Fox

I'm looking forward to watching this, but that lip smacking sound right at the start felt worthy of a comment on its own.

standupmaths

Would you believe I meant to cut that out and totally forgot?

Robin Houston

There’s a very serious error in the on-screen text at 4:19: it says Erdös instead of Erdős. #literallyunwatchable /s

Robin Houston

15:47 you say 1001 instead of 101

Stefan Nikolov

Couldn't find myself in the scrolling list... Now I don't know just how delicate (digitally) I am... Is the spreadsheet available anywhere?

James Bastone

This was awesome, Matt & Team! :D

standupmaths

Thankfully I caught that and put a correction in the corner before uploading.

standupmaths

Thanks! On behalf of the whole team: I'm taking the credit.

Stefan Nikolov

I specifically watched the final credits three times with constant stopping. Took me at least 10 minutes. Still missed it. And that's with paying extra attention. No wonder I miss all easter eggs in everything all the time...

Martin Holeys

How is it the other way around? Meaning taking a non prime and changing one digit to get a prime? Can I do that to any number if I accept infinite 0 change?

Jordan Munroe

Thanks for the prime number. I'll use it somehow. Not on any cryptography since everyone knows you gave it to me. Coincidentally, my phone number is a prime number.

Arnim Sommer

So, no pointing with a ruler through a zero at the end of the opening titles?

Simon Donkers

That's easy to disprove I believe. If the last digit is an even number, then any change must happen to the last digit. Even numbers (except 2) cannot be prime as they are divisible by 2. In the range 200 to 209 there are no prime numbers. So 200, 202. 204, 206 or 208 cannot become prime by changing one digit.

Martin Holeys

thats what happens if one doesn't think before asking :D I assume odd numbers will run into similar problems with rules like "last digit divisible by 3 -> number divisible by 3"

Brian Brewer

If those amazing opening credits is where my money is going I might have to up my pledge. That was great.

Kevin Davis

Looks like the first leading zero in my prime is a non-fragile digit (changing 0,648,121,543 to 7,648,121,543 gives another prime). I checked a few others and many have one or two leading zeros that are fragile . I wonder whose prime has the most consecutive fragile leading zeros...

Ewen McNeill

I came here to say this too; “it’s digitally delicate bases in any base system”, which if it’s what you meant still had me going “wait, what?”. I put it a few seconds before 4:55. Edited to add: ah, I see there’s a top left pop up correction, that I only spotted on the third viewing. If you do end up rerendering for some other reason, maybe out that pop up on the right so it scans as “read this after words”?

standupmaths

Names are in alphabetical by last letter and then first letter. It's probably easier to reverse look up 714,620,107 because the primes are in plain ol' numerical order.

standupmaths

100%. Those titles only exist because of Patreon support.

Thomas Uhl

For me (370051177) it's just one leading zero that's fragile. And I'm a little bit disappointed, must I say ;-)

Thomas Uhl

Nah, we'd rather tease you about it from time to time. :-)

Kevin Davis

Thanks for the data, Matt! I can verify that _ericBG = 183875191 has 4 fragile lead zeros before running into the prime 7000018387519. That's the biggest one my attempt found, but it's early enough that I don't entirely trust my code. Anyone else want to double-check? Edit: Some code debugging later it seems 354975121 has 10 fragile zeros!

C&S

Idea for "The spy who loved e:" The physicist Richard Feynman once opened the central safes that contained ALL of the information needed to design and build atomic bombs by guessing that the combination was 27-18-28. There is some interesting (if simple) math relating to safe cracking in some of his stories that could fit the theme, but probably not enough for a full video.

J. S. B.

How do I find my prime? I’ve had too much pink lemonade vodka to look through the comments. Lol

Frank Gevaerts

Of course your phone number is not really a regular integer, since adding or removing leading zeros changes it :)

Frank Gevaerts

Easy! The list is alphabetical, first on last letter and then on first :)

Sverre Rabbelier

That was actually enough to easily look up my number (603,899,129), so thanks for explaining the sorting!

Nicholas Koceja

I just realized something. When changing digits, you only need to check that the digit + or - 1 is composite. All numbers where the digits add up to 3 are composite, because divisible by 3. So its guaranteed that a prime with a digit +1 or -1 will be composite. It's just a matter of proving that both are composite for every digit.

J. S. B.

I tried finding myself with no luck!! Please post the spreadsheet…lol

Vlad Loktev

I found a digitally delicate prime 110100000110001100011111101101, yes, it is in binary, but it is mine. I used A = 1624097 + n5592405 that covers adding 1 to any digit. This got me thinking, we don't _really_ need the covering system for subtracting digits, because we always only have finite number of non-zero digits.

Jordan Munroe

Well, I don't know. 013 is a prime number insofar as it is equivalent to 13 is it not? Adding the country code on does change my number to a composite though.

Marc Fedorow

I wounder if such numbers will be ever used in any applied field (i.e. cryptography).