What Number Comes Next? - Numberphile

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Maybe pause the video and see if you can figure these out?
Featuring Neil Sloane of OEIS fame... More links & stuff in full description below, including spoilers ↓↓↓
Extra footage from this video: • Subway Numbers (extra ...
Neil Sloane is the founder of the Online Encyclopedia of Integer Sequences: oeis.org
Some OEIS sequences from this video...
oeis.org/A249572 (holey numbers)
oeis.org/A087409 (sixers)
oeis.org/A002904 (think like a Roman)
oeis.org/A006933 (Eban)
oeis.org/A006567 (Emirps)
Lunar Arithmetic: • Primes on the Moon (Lu...
Sloane's gap: • Sloane's Gap - Numberp...
Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): bit.ly/MSRINumberphile
We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. www.simonsfoundation.org/outr...
And support from Math For America - www.mathforamerica.org/
NUMBERPHILE
Website: www.numberphile.com/
Numberphile on Facebook: / numberphile
Numberphile tweets: / numberphile
Subscribe: bit.ly/Numberphile_Sub
Videos by Brady Haran
Patreon: / numberphile
Numberphile T-Shirts: teespring.com/stores/numberphile
Brady's videos subreddit: / bradyharan
Brady's latest videos across all channels: www.bradyharanblog.com/
Sign up for (occasional) emails: eepurl.com/YdjL9
Correction:
The first table at 1.06 reads
n a(n)
1 1
2 4
3 8
4 48
but it should be
0 1
1 4
2 8
3 48
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Опубликовано:

25 июн 2024

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Комментарии : 1,3 тыс.

@numberphile 5 лет назад

Catch two new bits of merch... A world map poster based on Euler Spiral: teespring.com/shop/euler-spiral-world-map Belphegor's Prime Decal stickers: store.dftba.com/collections/numberphile/products/belphegors-prime-decal-pack

@denhal1 5 лет назад

Do you still sell the brown paper strips from your videos?

@klaxoncow 5 лет назад

D DD DDD DDDD DDDDD... I prefer to use Roman numerals.

@numberphile 5 лет назад

Sometimes - they also get sent to Patreon supporters.

@NFSHeld 5 лет назад

@Hand Solo Well, it is related to numbers and their written representation, and this is Numberphile, not Mathphile after all. So it's on the borderline of "belongs here". It's an [for me] entertaining variety on the "usual" content that's on this channel.

@lizardbyheart2817 5 лет назад

Major flaw at 4:00 while it was obvious for me that the roman numeric system was used. Thanks to six being very obvious, you literally said with the next image that only the numbers matter not the word. I found it funny but still... you should have noticed that while editing...

@Mr6Sinner 5 лет назад

Him: Don’t get distracted into looking for something that’s too complicated Also him: * looking to be confused at his own solution * there’s an invisible zero.

@werock9 3 года назад

😂😂😂😂

@Triantalex 7 месяцев назад

@Wooflays 5 лет назад

"are you getting the idea? let me continue: 60, 62, 64, 66, 2000, ..." hahaha

@werock9 3 года назад

😂😂😂😂

@Goldenwow19 2 года назад

Me s

@PC_Simo Год назад

Me too 😅. Also, I thought his ”eban numbers” -sequence was missing something: 1000, 1002, 1004, 1006, 1030, 1032,…; and then I got the catch. What is it? I’ll let you work it out.

@PC_Simo Год назад

@@ensiehsafary7633 Seems a bit _ad hoc,_ but I’ll roll with it, ’cause what the heck 🤷🏼‍♂️.

@oz_jones 11 месяцев назад

Continue the sequence: 1, 3, ? (It's the Tree sequence)

@Bodyknock 5 лет назад

6:36 “E is banned” - Math dad joke confirmed. 🙄

@black_platypus 5 лет назад

Wait, what? What's the joke?

@meeethya 5 лет назад

Ebanned sounds in Russian like a swear word

@debjitkhaskel7879 4 года назад

😤

@paperbird4765 5 лет назад

Rules are simple "Make ur own rules " 😲😲

@patricksalhany8787 5 лет назад

Exactly. I really congratulate the ones who were able to solve most of these sequences, these sequences are more of code cracking.

@Peter_1986 5 лет назад

+Patrick Salhany My guess on the first sequence was that I took the last digit in the previous term and then the whole term before that, and put them together - like for example 4 and 8 make 48, 8 and 48 make 88, and 48 and 88 make 488. That actually did give me the answer 888 for the next term, but that was obviously very different from the method in the video.

@cubicardi8011 5 лет назад

7:21 Well obviously they're primes Me: cries in corner

@Vaaaaadim 5 лет назад

I didn't notice it either. I got hung up on the fact that only 1 3 and 7 appeared

@justincarrasco3680 5 лет назад

I feel like this is the kind of stuff the Sphinx asks you before it eats you.

@1732ashish 5 лет назад

62, 64, 66, 2000.. that escalated quickly

@saetainlatin 5 лет назад

I shall call it the PMS series, because from 66 goes up to 2000

@lukeusername 5 лет назад

1, 3, TREE(3),...

@theleftuprightatsoldierfield 5 лет назад

2002, 2004, 2006, 2030, 2032, 2034, 2036, 2040, 2042, 2044, 2046, 2050, 2052, 2054, 2056, 2060, 2062, 2064, 2066, 4000, 4002, 4004, 4006, 4030, 4032, 4034, 4036, 4040, 4042, 4044, 4046, 4050, 4052, 4054, 4056, 4060, 4062, 4064, 4066, 6000, 6002, 6004, 6006, 6030, 6032, 6034, 6036, 6040, 6042, 6044, 6046, 6050, 6052, 6054, 6056, 6060, 6062, 6064, 6066, 30000...

@SmileyMPV 5 лет назад

Wait until you see the Dutch equivalent... 5,8,12,20,50,80,5000000000,...

@faasklaassen8773 5 лет назад

Isn't 1000 a number without an e? It's thousand tight?

@CR0SBO 5 лет назад

These are like the mathematicians version of Dad Jokes, and I love them

@numberphile 5 лет назад

Ha ha. I like the idea of mathematical dad jokes.

@alexpotts6520 5 лет назад

@@numberphile I don't think it's possible to have mathematical jokes without them also being Dad jokes.

@maxfindus 5 лет назад

1, 2, 48, 46, 37, 2000, 48, 48, 48, 27, 19, ... what's next and why? Answer: 18 because that was the list of the numbers I randomly came up with when I wrote this comment, and 18 is the next one I'm thinking about.

@numberphile 5 лет назад

I'm not sure that one will get on the OEIS?!

@numberphile 5 лет назад

Though I found some that start with 1,2,48 oeis.org/A098694 oeis.org/A053290 oeis.org/A203305

@maxfindus 5 лет назад

@@numberphile This encyclopedia is amazing! We need to build something like that in physics.

@BradenBest 5 лет назад

Pretty much sums up the video.

@andresallegre9780 5 лет назад

my teacher be like

@wolframstahl1263 5 лет назад

German eban sequence: 5, 8, 12, 20, 25, 28, 50, 55, 58, 80, 85, 88. That's where it ends.

@wolframstahl1263 5 лет назад

If you write Ü as UE, Ö as OE, then it's even shorter: 8, 20, 28, 80, 88. But you can also add a few elements by calling 2 "zwo" instead of "zwei".

@numberphile 5 лет назад

If there are are not other language versions of eban already on it, you could submit them to the OEIS? I don't know if they'll be approved, but you'd think they must be a chance?

@kasperjoonatan6014 5 лет назад

btw. Germans save their space bar, they don't use it until one million :)

@SmileyMPV 5 лет назад

In Dutch we have: 5,8,12,20,50,80,5000000000,8000000000,12000000000,20000000000,50000000000,80000000000,5000000000000000,... I don't have enough knowledge to know whether this goes on forever :p

@danielolmo9 5 лет назад

Italian: 1 4 8 11 12 14 15 18 41.... too many

@turnipy88 5 лет назад

This video makes me angry.

@constexprDuck 5 лет назад

Me too. Obviously those puzzles aren't about the numbers themselves. Instead they're about different representations of numbers. THOSE ARE TWO DIFFERENT THINGS! oh so angry.

@drunkenhobo8020 5 лет назад

Your comment lacks subtlety. You can't just announce how you feel!

@TravelocityKirby 5 лет назад

@Drunken Hobo That makes me feel angry!

@aspiringcloudexpert5127 5 лет назад

CGP Grey wants to Know your location

@okktok 5 лет назад

turnipy88 because you are a kid

@JJ-kl7eq 5 лет назад

From now on I’m using my own font where none of the numbers has any holes. Always leaving a hole in the loop. See? I found the loophole in the first sequence.

@Tytoalba777 5 лет назад

Ah, but if you found a loophole, than that still leaves one hole

@wolframstahl1263 5 лет назад

Perfectly engineered pun!

@suncat530 5 лет назад

@Just A Random Dood easy! Just erase the middle bit

@msclrhd 5 лет назад

Use an LCD based number font so there are no connecting parts.

@SmileyMPV 5 лет назад

@@Tytoalba777 So that's a loophole inside their loophole... But then there is no loophole to find a loophole inside of. Is this a loophole inside your loophole inside their loophole?

@peppermann 3 года назад

Neil has the brain of a professor and the cheeky enthusiasm of a 7 year old. Always a pleasure to watch 😊👏.

@colinbrash 4 года назад

I’ve watched this like 10 times and I keep coming back and watching it again. Same with all of his videos. I love this guy so much. Please keep doing more with him.

@stuartofblyth 5 лет назад

"There's an invisible zero" (2:37). Yeah. Right. Spotted that straight away. Not.

@numberphile 5 лет назад

It makes sense when you think of it as removing any zeroes at the front of a number, which is a pretty normal thing to do!

@stuartofblyth 5 лет назад

So ... I can introduce any number of "invisible" leading zeros anywhere I like?

@SamMathWizard 5 лет назад

@@stuartofblyth 0023400.00=23400, but not the same as 2340 or 234.

@kasperjoonatan6014 5 лет назад

I didn't accept that invisible zero either :(

@kasperjoonatan6014 5 лет назад

@M. de k. No, but he should have not added a random 0 in the middle of the sequence.

@charlesmorton8876 5 лет назад

Anyone else really want EMIRPS to be SEMIRP?

@kasperjoonatan6014 5 лет назад

Yes. That was his second mistake.

@PeterBarnes2 5 лет назад

I think putting the s on the end emphasizes that it's a prime backwards but it's forwards.

@fares8005 5 лет назад

EMIRPS is actually correct. It's "PRIME" backwards then put in plural. It's more accurate because you can then say "an EMIRP" to speak of an element of the "EMIRPS sequence"...

@gressorialNanites 5 лет назад

I agree with fares gaming, but it also should IMO be capitalized as "EMIRPs".

@wafflefox6393 5 лет назад

Nope. A "prime" number is a singular, "primes" is all of them. Same here. An emirp is one, collective they are emirps.

@alejrandom6592 3 года назад

2:51 I can't believe I paused the video and had that on my desk for a week. I feel sad

@ecicce6749 5 лет назад

I figured the eban one out on my own. Now I am pretty proud 🙂

@MacShapow 5 лет назад

"Why are they called Eban?" Cue the nerdiest dad joke ever.

@AaronMeighoo 4 года назад

After seeing him move the commas "That's illegal"

@Wegnerrobert2 5 лет назад

Many people are really taking this too seriously. Numberpile isn't a channel for rigorous mathematics, it's a channel for having fun with math and numbers. Of course people are interested in unexpected and mysterious patterns but not every video has to be about that and this one clearly isn't trying to. Numberphile also shouldn't be your go to source for learning about mathematics. I think Neil has a very nice style and the sequences were cute.

@numberphile 5 лет назад

Cheers. Variety is the spice of life.

@blazerer2424 5 лет назад

Which is fine, but like the last video on moon numbers it doesn't make it even remotely clear this is the purpose. it started by saying 'these numbers might be taught in school" and then goes on to say "well we just made stuff up, it has no practical purpose whatsoever in your daily life" And this video aren't (to me) interesting rules. It's extremely narrow usage of numbers. erimps were somewhat interesting, eban numbers also, but even eban suffers in that it is language dependant, and that kind of shows the weakness of these things to me. It becomes so situational that pretty quickly this numbers tend to shoot up like crazy, and become so far and wide apart as to be meaningless. Notice how Tadashi often showed toys or other interesting tricks or ideas, but they were are math related where the maths behind it is interesting. Not just "we took this arbitrary rule"

@Wegnerrobert2 5 лет назад

@@blazerer2424 These sequences might be arbitrary but studying them is not pointless. You don't need to study an object because you expect an interesting outcome, you can study them mathematically just bexause you want to see the patterns that emerge! And evem though these sequences are highly specific to the representation of numbers they are (can be) nontheless well defined and non trivial. Try finding a formula for the sequence "number of 'e's in n", you will have to figure out the rules how we combine our words to make new number words, maybe draw a graph laying out the grammar of this process, don't underestimate the maths you can do with specific objects.

@Wegnerrobert2 5 лет назад

@@blazerer2424 Since you mentioned the moon video I also want to comment on that. Algebra is all about studying how different algebraic operations behave and what structures emerge, so I wouldnt underestimate it. Maybe you come up with a funny operation and end up showing that you can express it with algebraic objects that you already know (groups, rings, morphisms, actions), wouldnt that be cool.

@Tubemanjac 5 лет назад

Never use this approach if you have to pass a test during a job interview, cause everyday world isn't that creative.

@CharmEng89 5 лет назад

at 3:52 where he makes a biiiig grin and says "what's the rule?"

@not2tees 5 лет назад

You have to guess which box they have constructed to think outside, to think inside.

@maria44688 5 лет назад

Why is everyone acting so offended? I think this guy is adorable and his obvious love for math makes me smile. You all need to relax

@numberphile 5 лет назад

I agree. Neil has a playful side... But you will see later he does some hard core math too!

@RobeenaShepherd 5 лет назад

This whole video just made me giggle... a lot!

@zitt4147 5 лет назад

He seems to be agitated or under effect and this can make people nervous

@Wecoc1 5 лет назад

Is this even math?

@supersionsupersion 5 лет назад

It's kind of topology

@zenithofthealphaamerica393 5 лет назад

RU-vid search "88 is 4 circles" .

@supersionsupersion 5 лет назад

Nvm I just continued watching and it's less mathematics and more just coincidences as it goes on.

@masat87 5 лет назад

Well the channel is called numberphile, so I guess doing things with numbers that are not mathematical isn't banned!

@Trockenshampooleopard 5 лет назад

@@masat87 Unlike E's, which are banned.

@stelcxantisto 5 лет назад

When I was in primary school, I had always thought about that is it legit for a maths test to ask us what is the next term of a provided sequence? Isn't that you can somehow make a formula for any number to fit in the next term?

@hey8174 5 лет назад

Picks 3 random numbers. What comes next? These numbers were the first things that came to my mind. The next number I was thinking of was 6,008!

@MrManultra 5 лет назад

Wait I got this : so if I translate the english words for those numbers into korean, then back , then into French then back and then wrote them on a wall, an armadillo would point at them in this specific order. I get it now

@WorthlessWinner 5 лет назад

these sequences remind me of bad video game puzzles

@LunizIsGlacey 3 года назад

For some reason if you do that, 2 literally just disappears?? one two three four five six => 일이 삼 사 오 육 => Un trois quatre cinq six => One three four five six ???? Where did 2 escape 2?

@MrtinVarela 5 лет назад

"It's misleading, it's deceptive..." Yes, it is.

@argentinephenomenologist 2 года назад

I feel like this is the first time ever that I want to cry out of frustration and happiness at the same time. Nice job Neil.

@elecboy5126 5 лет назад

You acknowledge us people indifferent to base-10 and then continue to show us your 'subjective' math

@hank7281 5 лет назад

A lot of angry gatekeepers in the comments all puffed up after seeing that they passed their calculus I midterm...

@luker.6967 5 лет назад

Underrated comment.

@Solidfreeman01 5 лет назад

And psychopaths who need to state, that disagreement for logical reasons means inferiority. While they are the inferior ones themselves.

@PopeLando 5 лет назад

I got the one with the numbers written out. I'm obsessed with those numbers and wrote a function to convert to them, which used recursion!

@tesseraph 5 лет назад

Watching Neil Sloane videos makes me feel like I'm hunched over the Fountain of Truth wild-eyed, drinking deep its Waters in fervent Gulps with bright and beautiful Madness shimmering in my Eyes, seeing the World not as It Is or as It Should Be, but as It Could Never Be.

@chonchjohnch 2 года назад

Cringe

@aspiringcloudexpert5127 5 лет назад

I just wanted to say that I enjoyed the video very much, and I'm looking forward to the next one.

@JustinY. 5 лет назад

Top ten questions scientists have finally answered

@tomryan3408 5 лет назад

shut

@Cresanova 5 лет назад

Glad you made a career out of spamming comments on as many RU-vid videos as possible - that's really impressive and admirable, time well spent.

@ashcoates3168 5 лет назад

From pewdiepie to Numberphile, I present to you : JUSTIN Y

@Bluedragon2513 5 лет назад

Anthony Nguyen back here againn

@jackbauer5386 5 лет назад

4 8 15 16 23 42

@shayandoomed9889 5 лет назад

Really loved this approach to numbers, quite unusual but still interesting

@MuppetChops 3 года назад

Absolutely love this guy. More videos from him please

@cubicardi8011 5 лет назад

What number comes next? 1, 3, ? You guessed wrong, it's Tree(3)

@ThePharphis 5 лет назад

but that WAS my guess

@GlobalWarmingSkeptic 5 лет назад

That was my guess though!

@cubicardi8011 5 лет назад

@@GlobalWarmingSkeptic Well, guess i'll die?

@nailey7958 5 лет назад

I guessed right.

@ferax_aqua 5 лет назад

No it's TREE(3), tree is a different function and Tree not even a function.

@HeavyboxesDIYMaster 5 лет назад

I noticed immediately that he was careful to write the first "4". I didn't think much of it, but noticed that it may be important. I guess it was, to close the hole.

@OGBeefStew 5 лет назад

Trick question. The next number is not a number, but a game. Bookworm Adventures Deluxe to be specific.

@lasseegebo3239 5 лет назад

IT'S A MASTAPIECE

@strongside4565 5 лет назад

So, you frequent Numberphile and Dunkey? Are you sure you're not me...?

@Yellowgary 5 лет назад

This is uncanny

@mrmimeisfunny 5 лет назад

Removed from steam

@irakyl 5 лет назад

is this all you want to be known for? you're gonna make yourself a meme and perpetuate it forever? all right then

@studiobirb 5 лет назад

This man is so passionate about these numbers, I love that!

@kamalmichael 5 лет назад

That reminds me..must make a computer game that throws out a set of random numbers...the game would be to figure out the rule for that set sequence

@shruggzdastr8-facedclown 5 лет назад

What about those who write/draw their zeroes with a diagonal slash thru them? Would that be considered two holes rather than just one.

@X_Baron 5 лет назад

And get this, I learned to write "2" so that it has two holes! Zero had only one, though.

@helenastenvislavskovic 4 года назад

I've stopped that practice since my thetas look very similar. Does help in coding or distinguishing them from Os.

@yahccs1 2 года назад

My Dad used to do that because the original computer keyboards had the zero like that to distinguish it from a capital O. It meant when I lived at number 20 one item of my post got sent to number 21 because the slash looked like a correction, which confused the postman. [It looks more like a phi than a theta!]

@kimyostory 2 года назад

Topologically yes.

@jinkan321 5 лет назад

"ID" is not a legal Roman number?! 499 is actually written "CDXCIX"

@kingheathercapsicumannuum2840 5 лет назад

I noticed that too

@ubertoaster99 5 лет назад

That's why he said it doesn't count.

@NetAndyCz 5 лет назад

@@ubertoaster99 No he said it does count, IDIV sis not count in the video. Though it is complicated with Roman numbers, there are several set of rules, some allow for IIII being four, some allow to subtract ones from big numbers...

@alessiodaniotti264 3 года назад

@@TheLetterT511 no, on the standard rules for Roman number, the subtraction works only between 2 letters close in magnitude, so when the second one is 5 or 10 times the first. So: IV = 4, IX =9, XL= 40, XC = 90, CD =400, CM =900 But ID, or XM doesn't make sense

@diamondzieman5508 3 года назад

This is soothing. I enjoy your voice and the way you teach because its very calming. I also got the Roman numeral one to my surprise and I think its because I was able to relax and it allowed my brain to think outside the box. The eban number was funny and fun to figure out too :)

@miropalmu5588 5 лет назад

Great video. This was actually greatly rewarding if you guessed right. Thanks

@YuriFurtado 5 лет назад

I loved this one: 61, 21, 82, 43, 3, 64 Because I got it right thinking of something completely different. I added 6+1=7; 2+1=3 and 8+2=10. So, since the next numbers are 43 and 3, both, when added, sum up to 7 and 3, I thought it was a recurring thing for the algarisms to sum in a loop 7, 3 and 10, 7, 3 and 10. So, the next one had to have a second algarism that was one value higher than the last (because it starts as x1, y1, z2, a3, b3... I supposed the c would be 4), it had to be c4 and c+4 had to be 10, therefore, 64.

@J_-_ 7 месяцев назад

genius

@yamato.takeru.no.mikoto 5 лет назад

I actually came up with a different rule for that one and it works: 2:00 (0), 61, 21, 82, 43, 3, 64, 24, 85, 46, 6 (+61-40+61-39-40)(+61-40+61-39-40)...

@magicalpencil 5 лет назад

I liked it! You and Grey are sneaking in different types of magic in to your videos 👍

@donotlike4anonymus594 5 лет назад

Nice!... I'll love to see more of these kinds of videos... (I got all but num3 the Roman numbers... Just didn't expect that) great video...

@MegamikazeMoriko 5 лет назад

i saw the 1 4 8 as a binary problem 4 being 0 8 being 1 1 being some useless irregular number that shouldn't belong there

@jankisi 3 года назад

Same! But then I noticed it didn't work

@R2Cv1 5 лет назад

I get similar patterns which are completely unrelated. The 2, 4, 6 thing makes a bit of sense as only numbers below six, you get to 66 and break (obviously because numbers after it have 'e', but it looks like there is a mathematical definition).

@FaisalKarim-sh5ns 5 лет назад

Guys Im not sure if you have already figured thos out or seen it somewhere but I came out with this one myself. Number in sequence,n if you were to sum up is equivalent to the square of last number in the sequence and then minus all the numbers before it. e.g - 1+2+3 = 3^2-2-1, 1+2+3+4 = 4^2-3-2-1 and so on. Why. Look, number in sequence, n represented by dots and the likes,if you were to arrange in order will form a triangle. So if you square the number, it means you add x dots to form a square. The x dots are the numbers beforw the last number. Since the x dots are not really there, therefore the x dots should be substracted. So the square is no more, exactly what we are trying to find - the triangle. If you are unable to understand this, feel free to ask.

@FaisalKarim-sh5ns 5 лет назад

I hope this can be beneficial somehow.

@armandolara2910 3 года назад

You are a pro!!! Thank you, you saved my semester.

@jkvoot 4 года назад

"Don't think to complicated" Rewites the whole series, and even adding a new number. "now do you see it?" FAM....

@riddhiman2926 5 лет назад

This is my brilliant sequence and the most elegant in all of mathematics: 1, 2, 3, 4, 5, 6, 7, 8...........

@daviswing 5 лет назад

This video made me very very mad but also very happy. This is absolutely wonderful.

@alwysrite 5 лет назад

really enjoyed this one

@mickeyrube6623 5 лет назад

Isn't 499 in Roman CDXCIX? ID seems invalid, if you ask me.

@randomnessrules4971 4 года назад

Is that a pun?

@jocabulous 5 лет назад

"How many holes in a polo" -impossible quiz

@iqbaltrojan 4 года назад

how many holes in math

@oafkad 5 лет назад

Found myself leaning in during this video. This fella is entrancing I'm his delivery and enthusiasm.

@nathanroberson 5 лет назад

Super. So happy to have meet Brady at ThinkerCon.

@whycantiremainanonymous8091 5 лет назад

There's an inherent problem with "continue the sequence" puzzles: it's always possible to find a mathematical justification (indeed, any number of such justifications) for *any* continuation of the sequence. That's demonstrably the case (had thos theorem taught to my in my Calculus 101 class back in the day). PS: I found the intended continuation for the second sequence without guessing the comma shift thingy. One more drawback of those puzzles is that you only get the output, without the reason for it.

@PC_Simo Год назад

True 🎯. That’s, why my mathematician Friend hates these sequences, and doesn’t consider them mathematics. Including every sequence. Like: ”1, 2, 3,…”, and: ”0, 0, 0,…”.

@user-jj8kg5ef2t 6 месяцев назад

Actually, i know there exist a certain theorem that ANY number can be the next number..... (take for example, in a simple series like 1, 2, 3, 4, 5, 6....... and logically, we know the next must be 7, but indeed, according to this theorm, it could be 7, 8, 9, or indeed, any number. Unfortunately, i cannot remember what the name of this theorem is...... Can someone help?

@mindgame112 5 лет назад

I got the roman numeral one right away!! The rest not a chance 😂

@cgapse 5 лет назад

Same

@WillCrawford0 5 лет назад

Yeah, that one was sorta obvious because the camera zoomed in on the IX in "six" ... and the fact he was writing out the words meant it had to be something to do with the letters ...

@Koronesuki1313 5 лет назад

Same here. Got that as soon as he wrote six

@Censeo 5 лет назад

Same here

@benoitb.3679 7 месяцев назад

NEIL SLOANE! 🤟 Thank you for sharing this, I loved it. Great fun. Especially the reveal of "E is banned 😁" made me belly laugh haha

@jkvoot 4 года назад

He is just like that one kid that suddenly change the rules.

@ru40342 5 лет назад

Why not just make it an easier sequence: 1, 0, 00, 000, 0000, 00000?

@TheEgglet 4 года назад

1, 01, 001, etc

@aldobernaltvbernal8745 4 года назад

@wise ol' man 0 is in the middle so you could say its both

@aldobernaltvbernal8745 4 года назад

the problem is that all of those (except for 1) are the same number, so it doesnt count

@rossthebesiegebuilder3563 5 лет назад

**Notices a striking number of downvotes** One minute later... **Sees why there are so many downvotes**

@sirknight4981 5 лет назад

Haha, these are the type of things you think to yourself when you work with numbers all day. Very wonderlandy. What great fun!

@jakedowman-french3205 5 лет назад

This made me feel like I was trying to solve the cryptic clues on a crossword. That feeling is frustration.

@nzrval 5 лет назад

For the second one I had the correct answer with a different method. 61,21,82,43,3... The sum of the numbers make : 7,3,10,7,3... Then the sum of the last one is 10. Considering that the 4 on the fourth term is 2 below 6 and 3 is 2 above 1, I use the same method : 8 → 6 and 2 → 4 That way you find 64 !

@BunchaWords 5 лет назад

I did something similar, seeing the sum of the numbers. I also got 64 another way. I saw that the first digit of each number was always a different even (6,2,8,4,0) and assumed the pattern repeated from there, so the first number is 6. Then I saw that the second number was increasing regularly (1,1,2,3,3), so 4 must be the next second number. Hence, 64.

@tomislavhoman4338 5 лет назад

@@BunchaWords I got 46. 61 + 21 = 82. 43 + 3 = 46

@Prophetic_Piano 5 лет назад

@@tomislavhoman4338 Same

@lizardbyheart2817 5 лет назад

Subtract 40. If *resulting* number could be subtracted by 40 add on 1. If the number *you subtract currently* can't be subtracted by 40 add on 1 infront of it. 21 - 40 would 82 It freaking works out even further in the series. Idk when it breaks or if it breaks but every number shown works lol.

@torrita01 5 лет назад

He looked so pleased with himself every time he presented a new sequence.

@numberphile 5 лет назад

The man loves sequences.

@benbooth2783 Год назад

Got the 3rd sequence, he made it easy for us by spelling the names of the numbers rather than just writing the numbers, it was huge clue.

@joelunchbucket0 5 лет назад

i gave up trying to figure out what comes next when he started moving comas, i just watched in awe and laughed with each solution

@simonperez1706 5 лет назад

@ 0:22, I found the same number by using this method: take the second integer of a term and combine it with the whole previous number (starting from the fourth term which is 48, doesn't work with 1, 4 and 8). Ex: So 48, take the second integer 8 and combine with the previous number 8 = 88, 88, take the second integer 8 and combine it with the previous number 48 = 488 488, take the second integer 8 and combine it with the previous number 88 = 888 888, take the second integer 8 and combine it with the previous number 488 = 4888 4888, take the second integer 8 and combine it with the previous number 888 = 8888 etc... give me the Nobel prize.

@bastiens5219 5 лет назад

Yeah i did the same!

@RafaelCouto 5 лет назад

@@bastiens5219 I did the same and I also got the 64 right without realising the comma stuff. I just thought the rule was -40 if the result was positive, else +61. I don't know exactly why but it works for the next numbers as well.

@samirferataj276 5 лет назад

The first sequence could be defined without using holes, if you take away 1 you get. 0+4=4, 4+4=8, 8+4*10=48, 48+4*10=88, 88+4*100=488, 488+4*100=888 and so on. If n is generic element of the sequence then n=(n-1)+4*(10^i), with i=0,1,2,.... The power can be defined i'll think about

5 лет назад

Yeah, I had a similar solution. but I need given n1=1,n2=4,n3=8. then the rest comes with following algorithm: n[i] (with i>=4) = n[i-2]*10+last digit from n[i-1]. n4 = 10*4 + 8. n5=10*8+8. n6=10*48 + 8. and so on. well, the n1=1 isn't used here...

@logexpTommy 5 лет назад

You could change i to be [n/2] where [x]:=min{k ε Z | k>=x}

@gustythebest 5 лет назад

The solution I had was that it was simply ascending binary numbers (4 being binary 0 and 8 being binary 1) the 1 at the beginning throws that off though.

@samirferataj276 5 лет назад

Well in math therms it's a bit more complex, but if you want anche algorithm to use on a calculator you set i to be:if n is the index of the generic sequence element as i meant before, then the generic sequence number S(n)=S(n-1) + 4*10^(i) where (i=n-1 if n is odd number) otherwise (i=log((S(n-1) - S(n-2))/4) if n is even) with base 10 but probably doesn't work for first elements. I'd need some more time to work the first elements

@MichaelDurgin 5 лет назад

I thought it might have to do with the sum of each number going up by 4 each time excluding 1.. 4 8 12 16 20

@macronencer 5 лет назад

OEIS is one of my favourite places to go to relax. I'm currently trying to find ways of making some of the sequences into music.

@nok9355 3 года назад

for the commas one, i got 64 as well, but by adding each number with 61 and removing the hundreds digit to get the next number.

@jacksonpercy8044 5 лет назад

How is changing the sequence by moving commas and then adding random zeros *not complicated*? It goes against the very conventions that make a sequence a sequence.

@lizardbyheart2817 5 лет назад

Here the mathematical approach. 61 - 40 = 21 If the resulting number could be subtracted by 40 again, add on 1. If you go below 0 just keep on going (you know as if you take over 1) so 21 - 40 is 82 (20 - 40 wpuld be 10 then 00 then 90 then 80. I think you know what I mean.)

@TrimutiusToo 5 лет назад

Damn I did get that it would be 64, but mainly because I assumed that first digit would follow pattern 6,2,8,4,0 and last digit seemed to be increasing, but having third 3 in a row would be weird for the sequence...

@bradywells1293 5 лет назад

Yeah I did a similar thing, I got it by adding the previous number to the first number 61. it should've been 05 not 03, but adding 61 to 03 got me 64, which turned out to be right for all the wrong reasons =P

@shivanshnigam4015 Год назад

That is the most interesting way to look at a sequence

@Pest789 5 лет назад

This guy is the boss you have to fight after you have defeated all other dorks on the planet.

@glowingfish 5 лет назад

This video leaves me half-annoyed...and half-amused...

@mikkokarkkainen2807 4 года назад

This is somewhere between serious mathematics and wasting precious time, closer to the latter perhaps

@non-inertialobserver946 4 года назад

@@mikkokarkkainen2807 definitely the latter

@kasperjoonatan6014 5 лет назад

7:47 you did it too fast, I didn't have time to count the zeros, now I am not sure if you showed the right number :)

@borismize8739 5 лет назад

This is the only video on youtube that made me go 'oh c'mon....' and 'oh yeah' at the same time

@raywaheed1243 5 лет назад

61, 21, 82, 43, 3 - I guessed this one right because I thought the pattern was that if you add each of the digits of each number (6+1, 2+1, 8+2, 4+3, 3), you get 7, 3, 10, 7, 3... so I figured the next number's digits must add up to 10; next, I looked at the two that add up to 7 (61 and 43) and 3 in the pattern (21 and 03) and saw that the first digit just transferred a 2 to the second digit (6 -> 4, 1 -> 3 and 2 -> 0, 1 -> 3) and determined that the next number must be 64 (8-> 6, 2 -> 4).

@colinstuart9526 5 лет назад

I had a similar process, recognizing that the sum of the digits was a pattern, but I ended up seeing that the first digit had a pattern of subtracting four each time, starting over at ten when zero was reached (6-4=2, 2-4=8, et cetera) from that, I figured the last digit had to have a 6 in the tens place, and the sum had to be 10, making the ones a 4. Therefore, 64.

@Anchor9Studios 5 лет назад

My head hurts after watching this. Oh wait there’s still 6 minutes left....

@pixooooo 5 лет назад

"Smallest positive number that has N holes in it". Shouldn't it be 0 for N = 1 ?

@AntisocialSocietyCub 5 лет назад

0 isn't positive

@pixooooo 5 лет назад

@@AntisocialSocietyCub thanks, my bad.

@KryssAA 5 лет назад

Yeah, don't you DARE not follow this SPECIFIC rule !!

@TenshiSeraph7 5 лет назад

I used a different approach to determine the next numbers in the first sequence by using a substitution system. The first digit of each number is replace based on the following rules to determine the next number: 1 -> 4 4 -> 8 8 -> 48 Which results in the sequence 1, 4, 8, 48, 88, 488, 888, 4888 etc

@michaelcollins966 2 года назад

It's like Neil Sloane is the lone wizard who is custodian of all types of magical numbers, be they powerfully useful, or trivially entertaining. But he enjoys them all and will pass them on to any visitor that cares to seek him out.

@trdi 5 лет назад

The invisible zero one was complete nonsense. Why would numbers be having one invisible zero? Why didn't 61 have 061? Oh, it has to be only two digits? Well what happens when sequence gets above 100? The problem of sequences is also that there are always multiple solutions anyway. My solution is at least consistent, unlike his: 61, 21, 82, 43, 3, 46, 7, 53, 13, 66, 27,... Edit: the sequence start cycling once it reaches 55, it has a 36 number cycle. I just HAD to check. We know that is infinite number of sequences that could be a consistent continuation of the first 5 numbers. And yet he picks one that is inconsistent and says others are wrong. :)

@lizardbyheart2817 5 лет назад

Subtract 40. If *resulting* number could be subtracted by 40 add on 1. If the number *you subtract currently* can't be subtracted by 40 add on 1 infront of it. 21 - 40 would 82 X)