See all videos in this trilogy at bit.ly/ApocalypticTrilogy

@IDFpartyboi972

Ай бұрын

Thanks for your support UK and sorry about those aid workers. I was up late the night before so I was super sleepy the day I picked those 3 targets.

@WhataMensch

Ай бұрын

Hey numberphile can you do a video on the number 40K? It seems relevant to current day.

@LucenProject

Ай бұрын

6:29 "I can talk about this all day." Plenty of people SAY that, but Brady's actually made a career out of it, and it's been a gift to the rest of us!

@FLPhotoCatcher

Ай бұрын

I found an interesting thing. I added the first 10 Fibonacci numbers (not counting zero) and then squared it, then divided that by 666 and got 30.70 *420* 420 *420* 420 *420* 420 *420* ...

@shafiqeakhtar6687

Ай бұрын

can you plz solve this link problem

The second number, ending in 1837, 18 x 37 = 666.

@anuragjuyal7614

Ай бұрын

Nice catch 😂

@FLPhotoCatcher

Ай бұрын

And 18 is 6+6+6

@LawrenceMclean

Ай бұрын

@@FLPhotoCatcher Indeed. All of the repeated 3 digit numbers have that characteristic, for example, 444 = 37 x 12, and 12 = 4 + 4 + 4.

@RobertoTifi

Ай бұрын

​@@LawrenceMcleanso I would expect 37 x 21 = 777 and 37 x 24 = 888? Wait a minute... It IS SO! 😮 37 MUST be such a devilish number, ban it out of holy places 😂😂😂

@LawrenceMclean

Ай бұрын

@@RobertoTifi 😀😀

Also, that 5th Fibonacci number F3188 is the only one of those 5 that contains the sequence 666 in its digits :D

@Cypekeh

Ай бұрын

3188 apocalypse confirmed

@kaerlighe9

Ай бұрын

Hi I Am new .Could you please elaborate how the 666 fit into 3188 - and how the letter D is relevant. Thanks

@fugcat

Ай бұрын

​@@kaerlighe9nice try chatgpt

@steamstories1279

Ай бұрын

Half-Life 3 confirmed for year 3188.

@kaerlighe9

Ай бұрын

@@steamstories1279 could you please make an example ? Thanks

Not very surprising that there are 5 of them. For any number of digits there are between 4-6 Fibonacci numbers with that many digits. Most being 5.

@landsgevaer

Ай бұрын

And 6 only for 1-digit numbers if you start from 1, 1; never again after that.

@billr3053

Ай бұрын

4.785 approx. fibs per order of magnitude

@chrislewis7811

Ай бұрын

Yeah, why is it presented as some difficult problem to find these?

@illusion-xiii

Ай бұрын

@@chrislewis7811 I don't think it's presented as a difficult problem, I think it's presented as an interesting result. Finding them just involves doing iterative addition, easy for a program. Whether the result is truly interesting may be subjective, but its made for an engaging enough video (we're talking about it).

@coloneldookie7222

Ай бұрын

Agree on the rather regular 5 Fibonacci numbers in the Apocalypse set. But, what about the 666th Fibonacci set of the maximum (6) values? THAT'D be a uselessly fun superstition to make.

6049 in the Hebrew calendar starts in 2288 CE.

@zeybarur

Ай бұрын

So Everton definitely won't win the league that year

The 23rd (23 is prime) Fibonacci prime (the 4723rd Fibonacci number, 4723 is prime) has 987 digits, which is also a Fibonacci number.

@MaxMustermann-kf7fu

Ай бұрын

23 -> 2/3 = 0.666...

Please do talk about it all day!

This trilogy was a bit too base-10-based for my taste.

@Alex_Deam

Ай бұрын

Should've used 666 as the Number of the Base

@dielaughing73

Ай бұрын

@@Alex_Deam The Number of the Based* * or Baste?

@asheep7797

Ай бұрын

should've used base 6 and see if 666 appears (hint: we know the answer)

@MushookieMan

Ай бұрын

@@asheep7797 It does i found it

@Tahgtahv

Ай бұрын

@@asheep7797 Using 012345 is a bit arbitrary. You could use any 6 symbols you want to form your base 6 numbers, and then it might appear or might not.

Plot twist: Maybe the release itself of so many Numberphile apocalyptic videos is the sign that the End is near

I was hoping for some stuff about 616.

@BibleBlack667

Ай бұрын

Finally! Someone else concurs!

I love seeing these videos with Tony. Always very interesting.

Somewhere a Hollywood screen writer is salivating over this video 😂

Wait, is the third Apocalypse Prime 1....6409 (two squares), as was written, or ...6049 (only one square), as was printed?

@RichardHolmesSyr

Ай бұрын

It is 1...6409.

I'm not surprised that there aren't any prime 666-digit Fibonacci numbers, but I was surprised that there were five Fibonacci numbers with 666 digits... at least until I thought about how the sequence is generated and what Tony said earlier about the exponentially-increasing sample size as we increase the number of digits.

4:02 what "looking for" is there here? The nth Fibonacci number is the nearest integer to phi^n/sqrt(5), so it's completely trivial to find all the Fibonacci numbers of any given length using logarithms.

@GeorgeDCowley

Ай бұрын

Not everyone knows that.

1:44 First Turing complete computer by Charles Babbage was conceived in 1837! Maybe it's a sign that something like AI will wipe us all 😂

These mathematical incantations are getting very dangerous.

Thank you numberphile for the 3am est upload

Personally I want to hear a deeper discussion on Tony’s latest preprint about the -1/12. 👌🏼

3:25 that is a lot, but compared to all numbers with 666 digits, it's only 0.0059% of it

I wonder what the 666th number that is both a prime number AND a Fibonacci number.

Video suggestion: the "jump all but one" game or other similar small handheld puzzles (say 15 puzzle, but that's been done before)

Everton -2 points today. Sad times for Tony :o(

If Tony could talk about it all day then I could listen all day

"There were loads of riots in New York City, basically driven by poverty. The banks were failing as well." Me: 🤔

Please don't change this channel to Numerologyphile

2:10 So is it ...6409 as Tony says or ...6049 as in the animation?

@SgtSupaman

Ай бұрын

You'll find out in the year 6049...

There's 2 apocalyptic apocalypse numbers! Who knew!

Prime numbers are not that rare. I'm surprised with all of Brady's experience, he still thought they are. As Tony says, the estimation is N/ln(N), so if N has form 10^x, then pi(N) = 10^x/(x * ln(10)). The denominator is just knocking off log10(x * ln(10)) ≈ log10(x) + 0.3 digits from the numerator's power. 666 is 3-digit long, so the amount of primes would be ≈ 10^(666-3). Prime numbers are very much not a rarity at all.

@ph1ber

Ай бұрын

I'm pretty sure his confusion comes from this: If you pick an integer uniformly at random from the first N, then the probability of drawing a prime is 1/log N. So as N increases, you are less likely to draw a prime. So in this sense, they indeed become "rarer". You are of course correct that the number of primes between, say N and N/2 in absolute number increases as N increases.

@minirop

Ай бұрын

@@ph1ber and the fact, that the difference between 10^666 and 10^662 is enormous. it's not just 10^4

@DukeBG

Ай бұрын

Yes, exactly. But compare it, to, for example, squares. There are ridiculously less squares than primes. There would be about 10^333 with 666dd. Still a lot, of course.

Of the primes which are also Apocalypse Numbers, how many Mersenne Primes are there?

That does seem like a lot of fun.

You made this about me 😂

I see the video was uploaded 9 minutes ago, but all the comments are from up to 1 hour ago!

Tony has a bunker somewhere probably...

Imo, apocalypse numbers are nonce, since they're entirely dependent on your counting system.

what is the highest number that is both a fibanachi number and pr a prome nuber.

Why are there not 666 videos in this series?

Thought of an interesting problem.... There are 18 4-digit numbers that contain "666", 19 if you count the one with leading zero. That's 18 out of 9000, or 19 out of 10000. For more digits, there are more that contain it, and also almost twice the percentage. So at what number of digits are there MORE numbers that contain "666" than which don't? I predict it's over 503 digits, but it might actually be less. Can't find an answer to this anywhere. A simpler parallel is for what number of digits there are more numbers that contain the single digit "1" or any other, than which doesn't....

3:24 10^662? So like an order of magnitude more than the amount of atoms in the universe?

How the hell are there comments from 1 day ago when the video is only 41 minutes old?!

@KRAWofficial

Ай бұрын

The video was probably unlisted

@asheep7797

Ай бұрын

It was unlisted, but people could access it via the description in the first video.

u forgot to mention the magic squares of 666; 3x3 squares especially...

I have just one word to describe the correlations made in this video - woo

Wonderful 💎 I can listen to that stuff all day

Now that the series is over I hope all the paper was ritualistically burned according to the ancient rites to avoid summoning something 😂

You should have probably noted that π is just a denotation here and not a value.

Is there any sequence of X length fibonocci numbers greater than 5?

@telhudson863

Ай бұрын

x=1; 1 1 2 3 5 8. That's the only one.

felt like you were battling the focus a lot in this trilogy, disorienting when going down to the paper

Imagine if there were an apocalypse Fibonacci prime which has 666 among its digits 😶

They should invent a property of apocalyptic numbers just so that 2020 fits there. This would be very meaningful...

Just opened my bank account and I’m quite far from a 666 digit number

You can figure out in your head if 1...(a bunch of zeroes)..1 is divisible by 11 very easily, since if the alternating sum of digits in a number is divisible by 11 the number itself also is. So 101 is not since 1-0+1 = 2 but 1001 is since 1-0+0-1 = 0 Meaning that any number with an even amount of digits starting and ending in one, with a bunch of zeroes in between, must be divisible by 11.

Looking at the soccer-robot picture and remembering the "Legions" in the last video, i have to ask: Did you use AI to make those images?

@aryst0krat

Ай бұрын

Pretty clearly yes, I'd say.

What is the probability that a Fibonacci number is a prime?

Has anyone tried dividing F3188 by F3187 of the fibonacci sequence?

I think if you try hard enough, any number can be expressed as a power of 666. It won't be a whole number power though

"Oh, here's to my sweet Satan. The one whose little path would make us sad, whose power is Satan. He'll give those with him 666. There was a little tool shed where he made us suffer, sad Satan." -Led Zeppelin, 1970, from a backwards recording of "Stairway To Heaven"

I read "apologetic" number 😀

This trilogy's been great fun, but it's a shame to see so much machine-made imagery. The illustrations bring so much character to the videos, and seeing that farmed out to "AI" is sad!

@Evil_Narwhal

Ай бұрын

What part do you think is using AI?

@DjynnFlyssa

Ай бұрын

@@Evil_Narwhal The 6049 football team in this video, the images of demons and giants in the previous two.

What about alpaca lips numbers? 😏

Satte ke number kaise nikale iski uski nikaalne ki calculation

up the toffees!

How many numbers are 666 digits long

@msolec2000

Ай бұрын

9*10^665

As of April 23, 2024, this channel has reached 666 million views.

666= All numbers on a roulette table added together ❤️

Imagine getting the 666th like - what an honour that would be

Just for fun, are there any prime numbers like 999888777666555444333222111 or 999997777788888666664444422222255555111113333333 ? Just curious.

time signature: 6:55

"maybe these are years. :)"

Hi hello howdy with greetings bless

6049 or 6409?

SIR SHILONG SATTA GAME FR KA NUMBAR SINGLE DIJIYE EVERY DAY THSNK YOU 🎉.

Queen Victoria ascended to the throne in 1887?.

@joemroz1033

Ай бұрын

1837

All day, but only 6 minutes? Damn shame!

The thing is that all "special" numbers based on digit patterns immediately lose their "specialness" if you look at them in any base other than 10. So really we're just exploring things that are curiosities of base 10 rather than things that are special about any of these particular numbers. Pick a number N that is special because of digit pattern X in base 10. I'd be willing to bet that N-1 while not special in base 10, is probably special with digit pattern X in some other base. Same for N+1. I dunno it just feels akin to changing your printer ink cartridge and then getting excited about the new "DARK" numbers that come out afterward.

I’m sorry, in what world did Everton win the league in 1995?

@Euler13

Ай бұрын

He didn't say they won the league, he said it was the last time they won anything. They beat Manchester United in the FA Cup final.

they did everton dirty

6049 will be the year when the Cleveland Browns will finally win a Super Bowl! 😏

Should've done this one on Halloween, boys. That's a scary scary base

I hate that we can't downvite anymore. It's 667 for goodness sake!

while in other cultures it's triple luck

Just 5 of them. Literally a handful. That must be the sign we got five fingers. I smell a conspiracy! 😀

Had to hit the like button for the 667th like, sorry about that.

6094. The 60th day of 1994 which is March 1. Justin Beiber was born......

this is some devil's number

19

Woah

Mathematics + Superstition = Physics. QED

We need translate to Arabic with thanks..

X^3=2X=X+X

@user-fd3qq6cj2v

Ай бұрын

Root 2, cube it, divide by 2. Ad infinitum

こんにちは😃😂😊❤

How do you even measure 3 locations to find slope? What would take you to measure 3 locations find a slope? Rise, run, and ?. Rise,run, width? Then put that into 3 locations. 3x3=9. That has to equal .666 or 666.0.... idea is you have 6 happening 3 times. So 3 locations of 6 value.

666, 6

666

First!

Something bothers me about calling them "Apocalyptic"...some cultures would consider it very lucky.

A rather uninteresting video about "interesting" 666 digit numbers. There is nothing inherently interesting about 666 digit numbers. I think this unjustified fascination some people have with the number 666 is due to a Biblical reference to it. From my understanding the number 666 is used in the Bible only as a coded reference to a particular king (or some other ruler) the writer was criticizing. To avoid possible punishment the writer referred to the king using a code (which happened to produce the number 666) his followers would understand but the authorities would have difficulty proving his use of 666 was actually a reference to the king. An even more useless aspect of your video was referring to incidents that happened in the years represented by the final four digits of particular 666 digit numbers. The only meaningful part of your video was the reference to Fibanocci numbers since as you pointed out they do seem to occur in nature.

WHY are you using AI. Why. This channel used to have such beautiful art sometimes, now its AI slop

Stop doing the jerky cam with random zooms in and out. This isn't the nineties.

@MeriaDuck

Ай бұрын

Go watch something else then. This isn't the nineties with only a handful of channels.

2:30 : you can afford to pay a real human artist to do real human art. This bot trash doesn't belong in my feed or not labeled as "containing AI generated content"

@landsgevaer

Ай бұрын

If there can be computer-generated numbers in there, and mathematicians use computers, instead of paying humans to calculate 2^666 by hand, then why not computer-generated art, when artists also use AI? It is just a tool.

@danamulter

Ай бұрын

@@landsgevaer Because, you deliberately-misconstruing knuckledragger, one thing is a tedious repetitive task and the other is a career in reflecting the human condition in realistic and fantastic ways. This is saying "Our HUGE channel thinks a few prompts is worth the same market space and validity as "art" as a human creation". It's scummy, and your absolute lack of capacity to comprehend this speaks far more than you could ever know.