Interesting 666-digit Numbers - Numberphile
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- Опубликовано: 7 апр 2024
- Featuring Tony Padilla. See all three videos in this Apocalyptic Trilogy - bit.ly/ApocalypticTrilogy
More links & stuff in full description below ↓↓↓
The other videos in the series are:
Apocalyptic Numbers - • Apocalyptic Numbers - ...
Goliath Numbers - • Goliath & Leviathan Nu...
Tony Padilla on Amazon - amzn.to/3U6DRSM
(Check out “Fantastic Numbers and Where to Find Them”)
See our 666 Playlist - • 666 on Numberphile
Big Numbers Playlist - • Big Numbers on Numberp...
Prime Numbers Playlist - • Prime Numbers on Numbe...
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The image of Everton FC winning the league thousands of years in the future is AI generated and not a real photo from the future. 
Наука
See all videos in this trilogy at bit.ly/ApocalypticTrilogy
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.
Hey numberphile can you do a video on the number 40K? It seems relevant to current day.
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!
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* ...
can you plz solve this link problem
The second number, ending in 1837, 18 x 37 = 666.
Nice catch 😂
And 18 is 6+6+6
@@FLPhotoCatcher Indeed. All of the repeated 3 digit numbers have that characteristic, for example, 444 = 37 x 12, and 12 = 4 + 4 + 4.
@@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 😂😂😂
@@RobertoTifi 😀😀
Also, that 5th Fibonacci number F3188 is the only one of those 5 that contains the sequence 666 in its digits :D
3188 apocalypse confirmed
Hi I Am new .Could you please elaborate how the 666 fit into 3188 - and how the letter D is relevant. Thanks
@@kaerlighe9nice try chatgpt
Half-Life 3 confirmed for year 3188.
@@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.
And 6 only for 1-digit numbers if you start from 1, 1; never again after that.
4.785 approx. fibs per order of magnitude
Yeah, why is it presented as some difficult problem to find these?
@@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).
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.
So Everton definitely won't win the league that year
Please do talk about it all day!
This trilogy was a bit too base-10-based for my taste.
Should've used 666 as the Number of the Base
@@Alex_Deam The Number of the Based*
* or Baste?
should've used base 6 and see if 666 appears (hint: we know the answer)
@@asheep7797 It does i found it
@@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.
The 23rd (23 is prime) Fibonacci prime (the 4723rd Fibonacci number, 4723 is prime) has 987 digits, which is also a Fibonacci number.
23 -> 2/3 = 0.666...
Plot twist: Maybe the release itself of so many Numberphile apocalyptic videos is the sign that the End is near
I love seeing these videos with Tony. Always very interesting.
I was hoping for some stuff about 616.
Finally! Someone else concurs!
Thank you numberphile for the 3am est upload
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.
Somewhere a Hollywood screen writer is salivating over this video 😂
These mathematical incantations are getting very dangerous.
Wait, is the third Apocalypse Prime 1....6409 (two squares), as was written, or ...6049 (only one square), as was printed?
It is 1...6409.
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.
Not everyone knows that.
5.9 x 10^662 looks like a big number, but there's 9 x 10^665 numbers with 6 digits in them. Do the division, and you end up with about a 1:1500 ratio for primes:numbers. To put that into context, the 1500th prime is 12553, so that's a ratio about 1:9.
3:25
that is a lot, but compared to all numbers with 666 digits, it's only 0.0059% of it
If Tony could talk about it all day then I could listen all day
Video suggestion: the "jump all but one" game or other similar small handheld puzzles (say 15 puzzle, but that's been done before)
Personally I want to hear a deeper discussion on Tony’s latest preprint about the -1/12. 👌🏼
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 😂
"There were loads of riots in New York City, basically driven by poverty. The banks were failing as well."
Me: 🤔
I wonder what the 666th number that is both a prime number AND a Fibonacci number.
5.9 x 10^662 primes with 666 digits is actually a very small number if you think a bit. Since there are 9 x 10^665 numbers with 666 digits, you basically have that 0.06555...% of them are primes. As a comparison, 7.8498% of the numbers between 1 and 1 million are primes.
Everton -2 points today. Sad times for Tony :o(
That does seem like a lot of fun.
One would expect 1/log(phi) (that is, 4.78) Fibonacci numbers to have N digits for any N, so either 4 or 5, roughly alternatingly.
Interesting 😮
Of the primes which are also Apocalypse Numbers, how many Mersenne Primes are there?
They should invent a property of apocalyptic numbers just so that 2020 fits there. This would be very meaningful...
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.
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.
@@ph1ber and the fact, that the difference between 10^666 and 10^662 is enormous. it's not just 10^4
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.
There's 2 apocalyptic apocalypse numbers! Who knew!
"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"
Have you ever looked into the research of mathematician, Ivan Panin? Very very interesting story with his work!
Imo, apocalypse numbers are nonce, since they're entirely dependent on your counting system.
2:10 So is it ...6409 as Tony says or ...6049 as in the animation?
You'll find out in the year 6049...
I have just one word to describe the correlations made in this video - woo
Tony has a bunker somewhere probably...
what is the highest number that is both a fibanachi number and pr a prome nuber.
You made this about me 😂
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....
I see the video was uploaded 9 minutes ago, but all the comments are from up to 1 hour ago!
u forgot to mention the magic squares of 666; 3x3 squares especially...
Wonderful 💎 I can listen to that stuff all day
Please don't change this channel to Numerologyphile
Why are there not 666 videos in this series?
You should have probably noted that π is just a denotation here and not a value.
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.
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?!
The video was probably unlisted
It was unlisted, but people could access it via the description in the first video.
I just plotted the graph of "number of digits 0-100" x axis and "number of fibonacci numbers with x digits" y axis and it was weird. Wish someone would explain it
Just opened
my bank account and I’m quite far from a 666 digit number
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
felt like you were battling the focus a lot in this trilogy, disorienting when going down to the paper
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?
Pretty clearly yes, I'd say.
Imagine if there were an apocalypse Fibonacci prime which has 666 among its digits 😶
if you have 10^662-ish primes that are 666 digits long, does that mean they're about 10^4 apart on average? 🤔
As of April 23, 2024, this channel has reached 666 million views.
I read "apologetic" number 😀
Has anyone tried dividing F3188 by F3187 of the fibonacci sequence?
Is there any sequence of X length fibonocci numbers greater than 5?
x=1; 1 1 2 3 5 8. That's the only one.
Now that the series is over I hope all the paper was ritualistically burned according to the ancient rites to avoid summoning something 😂
up the toffees!
What is the probability that a Fibonacci number is a prime?
666= All numbers on a roulette table added together ❤️
Imagine getting the 666th like - what an honour that would be
What about alpaca lips numbers?
😏
Satte ke number kaise nikale iski uski nikaalne ki calculation
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!
What part do you think is using AI?
@@Evil_Narwhal The 6049 football team in this video, the images of demons and giants in the previous two.
Oh no... AI art at 2:30? 😞
How many numbers are 666 digits long
9*10^665
Woah
"maybe these are years. :)"
they did everton dirty
All day, but only 6 minutes? Damn shame!
SIR SHILONG SATTA GAME FR KA NUMBAR SINGLE DIJIYE EVERY DAY THSNK YOU 🎉.
Queen Victoria ascended to the throne in 1887?.
1837
I hate that we can't downvite anymore. It's 667 for goodness sake!
time signature: 6:55
Just for fun, are there any prime numbers like 999888777666555444333222111 or 999997777788888666664444422222255555111113333333 ? Just curious.
6049 or 6409?
19
I’m sorry, in what world did Everton win the league in 1995?
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.
6094. The 60th day of 1994 which is March 1. Justin Beiber was born......
Had to hit the like button for the 667th like, sorry about that.
Should've done this one on Halloween, boys. That's a scary scary base
while in other cultures it's triple luck
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.
6049 will be the year when the Cleveland Browns will finally win a Super Bowl!
😏
こんにちは😃😂😊❤
this is some devil's number
666, 6
We need translate to Arabic with thanks..
666
Just 5 of them. Literally a handful. That must be the sign we got five fingers. I smell a conspiracy! 😀
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.
Mathematics + Superstition = Physics.
QED
Something bothers me about calling them "Apocalyptic"...some cultures would consider it very lucky.