Glitch Primes and Cyclops Numbers - Numberphile

Ғылым және технология

Audible: www.audible.com/numberphile
More links & stuff in full description below ↓↓↓
Simon Pampena on Glitch Primes and Binary Cyclops Numbers.
Simon on Twitter: / mathemaniac
Some book recommendations... Love & Math by Edward Frenkel, The Simpsons and their Mathematical Secrets by Simon Singh, The Mathematics of Love by Hannah Fry and Alex's Adventures in Numberland by Alex Bellos.
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Пікірлер: 1 900

  • @ronday22
    @ronday225 жыл бұрын

    I was hardboiling eggs and started watching this and forgot to watch the water boil, then when you mentioned eggs it reminded me and the water had just started boiling. Thank you numberphile for saving live on a daily basis

  • @geomochi4904

    @geomochi4904

    4 жыл бұрын

    lol

  • @kiranaun9593

    @kiranaun9593

    4 жыл бұрын

    @lightninglynx II late reply

  • @AKM-vo9lw

    @AKM-vo9lw

    4 жыл бұрын

    @@kiranaun9593 late reply?

  • @JosephDalrymple

    @JosephDalrymple

    4 жыл бұрын

    @@natebolan365 latest reply

  • @skrrrrrrrrt

    @skrrrrrrrrt

    4 жыл бұрын

    Joseph Dalrymple latester reply

  • @cheechcam
    @cheechcam8 жыл бұрын

    At the end of this video I should have said that I found that the only cyclops prime in binary is 101. Sometimes when I get excited I lose rigour!

  • @zetadroid

    @zetadroid

    8 жыл бұрын

    +Simon Pampena Check this out: I found another one m=2618 (according to Mathematica) EDIT: In the base ten example of course! So using 10^(2 m) - 10^m - 1

  • @Ganji55

    @Ganji55

    8 жыл бұрын

    +Omar Z 2^(2 2618+1)-2^2618-1 is not a prime number

  • @irek9

    @irek9

    8 жыл бұрын

    +Simon Pampena 9:35 23*59*163*599*75475452511

  • @zetadroid

    @zetadroid

    8 жыл бұрын

    BacArdI^ I should have specified base ten: 10^(2 m) - 10^m - 1 is a prime for m=2618

  • @zetadroid

    @zetadroid

    8 жыл бұрын

    Found another one: for m=5611 10^(2*5611) - 10^5611 - 1 is prime

  • @satyamwats7846
    @satyamwats78465 жыл бұрын

    Kid : "Mom I need a transformer" Mom : " We already have one at home " *Transformer at home* : 1:56

  • @StormTrooperXsV

    @StormTrooperXsV

    4 жыл бұрын

    this made my day, hahahahahahaha

  • @locke_ytb

    @locke_ytb

    4 жыл бұрын

    Lol 156 likes

  • @Andrina_Dsouza

    @Andrina_Dsouza

    4 жыл бұрын

    Oh my! 🤣🤣🤣

  • @fandomewhisper

    @fandomewhisper

    3 жыл бұрын

    I love you

  • @diffway531

    @diffway531

    3 жыл бұрын

    boring comment!

  • @leumasme
    @leumasme4 жыл бұрын

    He drew nines for like 10 minutes while the camera guy just stands there

  • @andreich1980

    @andreich1980

    4 жыл бұрын

    Someone's got a lot of free time there.

  • @jackjorgensen1440

    @jackjorgensen1440

    4 жыл бұрын

    hOI!

  • @donovanholm

    @donovanholm

    4 жыл бұрын

    HIS NAMES BRADEY GODDAMNIT

  • @kryptik8860

    @kryptik8860

    4 жыл бұрын

    Madlad

  • @QuindaliusBarnacleJonesJr.

    @QuindaliusBarnacleJonesJr.

    3 жыл бұрын

    Donovan Holm calm down lol

  • @xavierpaquin
    @xavierpaquin7 жыл бұрын

    "I started doing this at 9pm, I was still doing this at 6am. This is the hole I want to take you down!

  • @tiosam1426

    @tiosam1426

    4 жыл бұрын

    that's how mathematicians reproduce

  • @likeasnowmonkeyinthenight1840

    @likeasnowmonkeyinthenight1840

    4 жыл бұрын

    Instead of counting all the freckles on a girl's naked body, math nerds only make a rough estimation.

  • @bingbonghafu

    @bingbonghafu

    4 жыл бұрын

    Like A Snow Monkey In The Night They also know to get out when there are 0

  • @imnotfuckingusingthisaccou2574

    @imnotfuckingusingthisaccou2574

    4 жыл бұрын

    Read this right as that part came on

  • @BerlinWallNeverFall

    @BerlinWallNeverFall

    4 жыл бұрын

  • @horseradish843
    @horseradish8438 жыл бұрын

    2015 is 11111011111 in binary... So is it a glitch year?

  • @johnsheard2269

    @johnsheard2269

    8 жыл бұрын

    +Speedyjens Its a cyclops year!

  • @howtall8285

    @howtall8285

    8 жыл бұрын

    +Speedyjens A cyclops year. The Year of the Cyclops.

  • @chicoarraes

    @chicoarraes

    8 жыл бұрын

    +Speedyjens nice!

  • @AliHSyed

    @AliHSyed

    8 жыл бұрын

    +Speedyjens sure feels like it... sigh**

  • @T0MZV

    @T0MZV

    8 жыл бұрын

    yeah, but it's not a prime number

  • @bluebyrd1300
    @bluebyrd13002 жыл бұрын

    0:31 The look he gives after writing that ‘8’ is hilarious 😂

  • @rogerwilco2
    @rogerwilco28 жыл бұрын

    I love the quotes in this video. "that dramatically changed the number of eggs you just bought" "He's just one of having one of these glitch primes - That would really have made the nerds exited"

  • @GrunOne

    @GrunOne

    8 жыл бұрын

    +RogerWilco "Swish"

  • @Bhazor

    @Bhazor

    5 жыл бұрын

    6:55 I started doing this at 9 pm I was still doing this at 6am. This is the hole I want to take you down.

  • @theeffectoflogic3

    @theeffectoflogic3

    3 жыл бұрын

    Whereed are the nerds going? Hopefully in the five+ years since your comment you have learned of their destination if you did not know it at the time

  • @CatnamedMittens
    @CatnamedMittens8 жыл бұрын

    What a guy.

  • @tedchirvasiu

    @tedchirvasiu

    8 жыл бұрын

    +CatnamedMittens “Michael Bialas” The best guy.

  • @U014B

    @U014B

    8 жыл бұрын

    He sure is a guy.

  • @asdmla8777

    @asdmla8777

    8 жыл бұрын

    +CatnamedMittens “Michael Bialas” My mind has never been blowed so hard.

  • @CatnamedMittens

    @CatnamedMittens

    8 жыл бұрын

    +Michael van Rhee That accent is really sick, not going to lie.

  • @CatnamedMittens

    @CatnamedMittens

    8 жыл бұрын

    +Ted Chirvasiu He's definitely a character.

  • @NoisqueVoaProduction
    @NoisqueVoaProduction8 жыл бұрын

    Now we are going to start "The Binary Cyclops Prime" class 101. That is it. Thank you for coming, See you later

  • @thatoneguy9582

    @thatoneguy9582

    6 жыл бұрын

    André Benites See you April 20th

  • @anindividualist6945

    @anindividualist6945

    5 жыл бұрын

    Work hard revise properly for the exam, and you have a chance to passe this class.

  • @gabrielkellar1935

    @gabrielkellar1935

    4 жыл бұрын

    11011 1110111 111101111 11111011111 1111110111111 111111101111111 11111111011111111

  • @neverpure20

    @neverpure20

    4 жыл бұрын

    Cool boss name

  • @shinyahiiragi5299

    @shinyahiiragi5299

    4 жыл бұрын

    @@gabrielkellar1935 all the numbers you suggested can be divided by either 11 or 111 or 1111 and so on so the only cyclops prime is 101.

  • @GtaRockt
    @GtaRockt8 жыл бұрын

    It's brilliant how he talks about this stuff like it's the most amazing thing ever

  • @T1G3R009

    @T1G3R009

    6 жыл бұрын

    Lobster with Mustard and Rice he's passionate

  • @uniqueusername_

    @uniqueusername_

    5 жыл бұрын

    Mathematics IS the most amazing thing ever, though, right? The real world doesn’t act like a mathematically perfect universe, where everything has underlying structure that becomes more and more beautiful as your understand increases. Mathematics allows us to access that utopia of order and exactness. What could possibly be more amazing?

  • @Bollibompa

    @Bollibompa

    5 жыл бұрын

    @@uniqueusername_ The real world in it's chaotic beauty is more amazing than the strict exactness on paper. The fact that we can model and predict outcomes to an acceptable level is humbling and one of the greatest achievements of man.

  • @Rob-qc9en

    @Rob-qc9en

    4 жыл бұрын

    It is

  • @anzol4523

    @anzol4523

    4 жыл бұрын

    when he talks it BECOMES the most amazing thing ever.

  • @stalemate9730
    @stalemate97304 жыл бұрын

    I love how he uses a red marker and draws slowly to clarify the 8

  • @mscottveach
    @mscottveach7 жыл бұрын

    The thing you got to love about Simon is how much he commits to the bit. You can tell he gets a hella kick out of writing that absurd number down.

  • @jowarnis
    @jowarnis8 жыл бұрын

    1:56 so this is where Transformers got their sound effects :DDDDDD

  • @VestigialHead

    @VestigialHead

    6 жыл бұрын

    That would be Glitchimus Prime?

  • @BearshiMisnes

    @BearshiMisnes

    6 жыл бұрын

    I mean, I needed to actually go TCHTCHTCHCTCHT DUGUDUGUDGUU

  • @et496

    @et496

    5 жыл бұрын

    :]

  • @blue9139

    @blue9139

    5 жыл бұрын

    They are called prime numbers... Optimua prime... And he said transform... Transformers... Wait what

  • @siukong

    @siukong

    5 жыл бұрын

    @@blue9139 So instead of glitch primes, perhaps we should call them Decepticon Primes. A fitting name because they're deceiving us by being so close to a repdigit.

  • @jaredjenkins99
    @jaredjenkins996 жыл бұрын

    9:33 That "Come on. Swish" killed me. So funny

  • @Seegtease
    @Seegtease8 жыл бұрын

    Why does it make me happy to learn you solved such a meaningless, non-applicable problem? Probably the same reason I'm subscribed to a channel that's all about numbers. Bravo, sir.

  • @jamessan3404

    @jamessan3404

    4 жыл бұрын

    It's removing a whole class of numbers from prime sieve ? ( it's easy to detect these )

  • @listentome5583

    @listentome5583

    4 жыл бұрын

    He means non-applicable to the real world

  • @jorian_meeuse

    @jorian_meeuse

    3 жыл бұрын

    101 likes😂

  • @tagerauen5378

    @tagerauen5378

    3 жыл бұрын

    It is totally applicable. Engineers look to mathematicians for applicable solutions, the math must exist before it can be applied to physical systems.

  • @JohnGottschalk

    @JohnGottschalk

    2 жыл бұрын

    He's looking for a way to detect primes, but actually.... He just found a few funny numbers. I guess the binary cyclops numbers can be skipped, so that'll save you 1 every power of 2... which is a quite small number 😅 but I suppose as they get larger, that's significant as anything to be able to skip 1.

  • @DarshUK1
    @DarshUK18 жыл бұрын

    This guys mind reminds me of how I looked at the world when I was little. Full of enthusiasm

  • @144ky8

    @144ky8

    8 жыл бұрын

    +Tharsshanan2 There is a book that can help you achieve that enthusiasm, it is called the Bible.

  • @amonickerofprofoundpretention

    @amonickerofprofoundpretention

    8 жыл бұрын

    +Ar Ky You're ruining mathematics right now.

  • @DodderingOldMan

    @DodderingOldMan

    8 жыл бұрын

    +Ar Ky Aw man, I respect your right to that opinion, but I personally would say that'd be the LAST book a person should look at for enthusiasm. Any half-decent science text would be a much, much better place to look.

  • @austinpak2302

    @austinpak2302

    8 жыл бұрын

    +Ar Ky a truth full of lies? Or whatever you would call inaccuracies and contradictions

  • @144ky8

    @144ky8

    8 жыл бұрын

    Quinn Valor You need to show proof for your statements.

  • @kiffe22
    @kiffe228 жыл бұрын

    His face at 0:32. "Haaaaa, you didn't expect that one huuuh?"

  • @aX0n777

    @aX0n777

    3 жыл бұрын

    he's so precious

  • @slendy9600
    @slendy96008 жыл бұрын

    mentioning Ali G in a video about maths..... this guys the best XD

  • @mattwatson6259
    @mattwatson62598 жыл бұрын

    "This is the sorta stuff you communicate with aliens about"

  • @RobKinneySouthpaw
    @RobKinneySouthpaw8 жыл бұрын

    Thanks for the beginner's course in glitch primes. Glitch primes 101, you might say.

  • @hobotim8656
    @hobotim86568 жыл бұрын

    why is vsauce wearing a curly wig?

  • @cecasiahaan6801

    @cecasiahaan6801

    7 жыл бұрын

    SAIL THE SHIPS!

  • @implementedideas1983

    @implementedideas1983

    7 жыл бұрын

    Coodles Parks um that's not michel

  • @BrotherSquid

    @BrotherSquid

    7 жыл бұрын

    HEY GUYS. Michael here

  • @Bjac0

    @Bjac0

    7 жыл бұрын

    he sorta looks like a mix of keemstar, matthew santoro, and bob ross.

  • @xnickston

    @xnickston

    7 жыл бұрын

    We don't call them glitches. We call them happy little accidents.

  • @wANN2k
    @wANN2k7 жыл бұрын

    video length is 13:31 which 1331 is 11 cubed. maths is everywhere

  • 6 жыл бұрын

    Ramanujan would love this video

  • @astronerd2485

    @astronerd2485

    6 жыл бұрын

    And 11 is prime!

  • 6 жыл бұрын

    13 and 31 are primes!

  • 6 жыл бұрын

    could we find other mirror primes?

  • 6 жыл бұрын

    like 17 and 71

  • @tagginos
    @tagginos7 жыл бұрын

    LOL I love Brady's eggs input!

  • @BlessedForever888
    @BlessedForever8885 жыл бұрын

    "this is the sort of stuff you communicate with aliens about, you know what I mean?"

  • @EvdogMusic
    @EvdogMusic8 жыл бұрын

    What about "10001" type binary numbers? EDIT: I'm talking about numbers that start with a 1, end with a 1, and only have 0's inbetween.

  • @lammatt

    @lammatt

    8 жыл бұрын

    +Evdog Music this is basically just 2^n +1 and there are many primes with this shape for example 17 and 257 and 65537...

  • @Sigmath_Bits

    @Sigmath_Bits

    8 жыл бұрын

    +Evdog Music That would be a Mersenne Prime.

  • @lammatt

    @lammatt

    8 жыл бұрын

    Sigmath Bits Mersenne Prime is 2^n- 1 his question is 2^n +1

  • @lammatt

    @lammatt

    8 жыл бұрын

    +Sigmath Bits Mersenne Primes are in the 11111111111111111111111111111111 shape

  • @mrhappyman69

    @mrhappyman69

    8 жыл бұрын

    +Evdog Music that's not a cyclops number. cyclops numbers only have one 0.

  • @IDFB2When
    @IDFB2When2 жыл бұрын

    4:09 he went from laughing to extreme serious 😆

  • @ybrahimpalateo1709

    @ybrahimpalateo1709

    2 жыл бұрын

    Learning with Pibby as reference

  • @lordofthe6string
    @lordofthe6string Жыл бұрын

    Simon is still my favourite guest you've ever had on.

  • @mckseal
    @mckseal8 жыл бұрын

    Wouldn't the square root of -1 be a cyclops number?

  • @TheMikkelOLaursen

    @TheMikkelOLaursen

    8 жыл бұрын

    How?

  • @devinpohl5532

    @devinpohl5532

    8 жыл бұрын

    i It has one i

  • @JKTCGMV13

    @JKTCGMV13

    8 жыл бұрын

    +Mikkel Laursen Because it's only got one i

  • @bow3i

    @bow3i

    8 жыл бұрын

    +Mikkel Laursen that's an imaginary number, so "i" which has one "eye", like cyclops.

  • @JustCode39

    @JustCode39

    8 жыл бұрын

    +Peregrine M good one

  • @davemustaine7504
    @davemustaine75048 жыл бұрын

    poeple commenting stuff about a 13 min video... that was published 5 mins ago?

  • @liquidminds

    @liquidminds

    8 жыл бұрын

    +Jesus Christ sometimes I wish youtube added a feature, that showed the time-stamp of the video at the time the comment was sent... there would be a lot of 0:00 comments out there...

  • @Zeturic

    @Zeturic

    8 жыл бұрын

    +liquidminds That would add a lot of pointless noise. Not to mention it wouldn't be very accurate. Have you never returned to a video because someone responded to a comment you left?

  • @themasterjoni7667

    @themasterjoni7667

    8 жыл бұрын

    +liquidminds but what if you watched the video yesterday and come back today to comment, pause at 0:00 and post your comment :D

  • @thelatestartosrs

    @thelatestartosrs

    8 жыл бұрын

    Jesus Christ thats fast

  • @liquidminds

    @liquidminds

    8 жыл бұрын

    TheMasterJoni bad luck :-)

  • @reshmikuntichandra4535
    @reshmikuntichandra45354 жыл бұрын

    Pampena's videos are truly A MUST to watch . He is amazing in explaining . I am really in love with his videos on the legend of question six and transcendental numbers .

  • @TheKirbyT
    @TheKirbyT5 жыл бұрын

    I love numberphile. I appreciate the explanations of high level math concepts, even if I don't always understand (I majored in music). But most of all, I love their passion for the subjects they explain. It's infectious.

  • @EugeneKhutoryansky
    @EugeneKhutoryansky8 жыл бұрын

    That is an elegant way to demonstrate that 101 is the only Cyclops number, but I was also hoping for an elegant way to deal with the ...99899... number.

  • @et496

    @et496

    5 жыл бұрын

    Physics Videos by Eugene Khutoryansky :]

  • @truestopguardatruestop164

    @truestopguardatruestop164

    3 жыл бұрын

    I love your videos!!!

  • @achtsekundenfurz7876

    @achtsekundenfurz7876

    3 жыл бұрын

    The cyclops trick only works if the "glitch" is a zero. If it's not, there are three parts instead of two.

  • @ze_rubenator
    @ze_rubenator8 жыл бұрын

    ERROR 101 GLITCH NOT FOUND

  • @dhruvsawhney5596

    @dhruvsawhney5596

    4 жыл бұрын

    Isira Aarewatte I think it’s bcoz 101 is a glitch prime

  • @kerberossi
    @kerberossi8 жыл бұрын

    I was expecting a clip of Hitler shouting "NEIN NEIN NEIN NEIN NEIN" to play.

  • @SomeRandomFellow

    @SomeRandomFellow

    8 жыл бұрын

    +High Furzi Leader Kitler so was i, but then again, this is family friendly

  • @___________2204

    @___________2204

    8 жыл бұрын

    +SpaghettiToaster Because he was angry.

  • @TheSmileyFacedPizza

    @TheSmileyFacedPizza

    8 жыл бұрын

    ***** Idk, man. You just said that there was no such video, and then I showed you such video. My work here is done.

  • @kerberossi

    @kerberossi

    8 жыл бұрын

    Calm down ladies!

  • @GoingtoHecq

    @GoingtoHecq

    6 жыл бұрын

    woulda been classless

  • @tylerlowden8023
    @tylerlowden80233 жыл бұрын

    Simon's passion makes him such a treat to watch and listen. I'd sit in on your lectures anyday!

  • @TheHoaxHotel
    @TheHoaxHotel8 жыл бұрын

    A déjà vu is usually a glitch in the Matrix. It happens when they change something.

  • @TheHoaxHotel

    @TheHoaxHotel

    8 жыл бұрын

    +Sniggins I haven't seen it.

  • @hamizannaruto

    @hamizannaruto

    8 жыл бұрын

    +The Hoax Hotel lol

  • @sampza00

    @sampza00

    8 жыл бұрын

    +Sniggins You must be fun at parties.

  • @raymondsalzwedel

    @raymondsalzwedel

    8 жыл бұрын

    Yes, but remember how many times the number 101 appears in The Matrix.

  • @samus543654

    @samus543654

    8 жыл бұрын

    +The Hoax Hotel A déja vue in the matrix is not the way we perceive it in real life. When we have a déja vu, we feel like we've done it before. We don't see it twice like the Matrix.

  • @jonlottgaming
    @jonlottgaming8 жыл бұрын

    Does he mean the only CYCLOPS glitch prime you can have in binary is 101(at the end of the vid)?

  • @qwertyuiopzxcfgh

    @qwertyuiopzxcfgh

    8 жыл бұрын

    yes

  • @cheechcam

    @cheechcam

    8 жыл бұрын

    +jonlottgaming Yes!

  • @johnsheard2269

    @johnsheard2269

    8 жыл бұрын

    +Simon Pampena Mersenne Primes are also Glitch Primes in binary? They would be of the form 111...1110 with the last zero being the only glitch

  • @firelow

    @firelow

    8 жыл бұрын

    +John Sheard if the last digit is a zero the number can be divided by 10 (2)

  • @johnsheard2269

    @johnsheard2269

    8 жыл бұрын

    +William Pereira Gomes of course, mersenne primes would be all 1's in binary, glitchless rep numbers?

  • @brodyerlandson3582
    @brodyerlandson35824 жыл бұрын

    So did he just sit there and write all that without saying anything. Cause that is amazing.

  • @TheArunster
    @TheArunster4 жыл бұрын

    9:17 so funny how hard this is. "1 2 3 4 5 6 7 8 ... ... ... 9 8..."

  • @Gornius
    @Gornius8 жыл бұрын

    I'm so early I better make a joke. My math grades :C

  • @ProjectOsxar

    @ProjectOsxar

    8 жыл бұрын

    +Gornius C's aren't that bad

  • @CatnamedMittens

    @CatnamedMittens

    8 жыл бұрын

    +Oscar Gregeborn Rofl.

  • @U014B

    @U014B

    8 жыл бұрын

    +top kek I can top that. My life.

  • @crazygoat85

    @crazygoat85

    8 жыл бұрын

    +Oscar Gregeborn C is actually horrible, it corresponds to about a 60% at the very best in the UK.

  • @MrMbc77

    @MrMbc77

    8 жыл бұрын

    +crazygoat85 In the U.S. C is 70%-79%

  • @doschinaski3889
    @doschinaski38898 жыл бұрын

    This guy rocks and rolls. I really did think it was a wig at first though.

  • @SuperAppleFanatic1
    @SuperAppleFanatic17 жыл бұрын

    It's a Parker number.

  • @matthurstbridge9180
    @matthurstbridge9180 Жыл бұрын

    I've watched MANY mathematical videos, but this guy is VERY good with his communication and explanation to aid the listener. Excellent video. Excellent speaker.

  • @johnsheard2269
    @johnsheard22698 жыл бұрын

    This is the best guy you have on here

  • @MadCodex

    @MadCodex

    8 жыл бұрын

    +John Sheard I would not be so sure about that, because James Grime.

  • @MadCodex

    @MadCodex

    8 жыл бұрын

    +John Sheard I would not be so sure about that, because James Grime.

  • @lyndonhanzpernites5860

    @lyndonhanzpernites5860

    8 жыл бұрын

    +MadCodex or the Klein Bottle guy

  • @ishankmahale5393

    @ishankmahale5393

    8 жыл бұрын

    +Lyndon Hanz Pernites That guys enthusiasm though!

  • @bengtbengt3850

    @bengtbengt3850

    8 жыл бұрын

    Matt parker is much better

  • @seanc6128
    @seanc61288 жыл бұрын

    "This is the hole I want to take you down." I'm game.

  • @Maxman013_
    @Maxman013_8 жыл бұрын

    I remember this guy! He came to a Maths Teams Tournament that I was at as a guest speaker earlier this year (in Australia)!

  • @DemolitionTurtle
    @DemolitionTurtle8 жыл бұрын

    Great video Simon and Brady! I especially liked this one; following Simon's thought process and calculations was very interesting, getting a closer look at how maths is actually done in the real world! :)

  • @MrShagification
    @MrShagification8 жыл бұрын

    Never expected I'd hear an Ali G reference here.

  • @zetadroid
    @zetadroid8 жыл бұрын

    Hey Brady, I found another one: m=2618 I mean using 10^(2 m) - 10^m - 1

  • @zetadroid

    @zetadroid

    8 жыл бұрын

    +Omar Z I should add that I've been searching up to 5127 for now...

  • @Nixitur

    @Nixitur

    8 жыл бұрын

    Other commenters have mentioned the same number, but are you sure? That's a ridiculously huge number and I don't believe your primality test is rigorous enough to conclusively prove that it _is_, in fact, a prime number. Look at the documentation of the method that you're using and whether it's actually _guaranteed_ to work with such huge numbers.

  • @zetadroid

    @zetadroid

    8 жыл бұрын

    Nixitur PrimeQ[] of Mathematica. Of course you are right and I should've checked better the documentation! From Wolfram's page: "PrimeQ first tests for divisibility using small primes, then uses the Miller-Rabin strong pseudoprime test base 2 and base 3, and then uses a Lucas test." It is not guaranteed above 10^16, only suspected. Similarly m=5611 gives a positive. I'm running the test up to 10000 overnight for fun.

  • @JoseyWales93

    @JoseyWales93

    8 жыл бұрын

    +Omar Z I confirm that 10^(2*m)-10^m-1 is a prime for m=2618 and m=5611. It can be proven using a classical primality test known as "the N+1 test" which can be applied when N+1 has a fully factored divisor F greater than cubic root of N, here we have N+1 = 10^(2*m)-10^m = 10^m(10^m-1) so we can use F=10^m.

  • @ThePowerExcess

    @ThePowerExcess

    8 жыл бұрын

    +Omar Z Don't use that stuff. Divide it with all integers up to sqrt(self). Brute forcing is for the cool people.

  • @NATESOR
    @NATESOR8 жыл бұрын

    I actually understood nearly all of this one.

  • @gabrielkellar1935

    @gabrielkellar1935

    4 жыл бұрын

    You don’t just simply understand a numberphile video

  • @zyx362
    @zyx3628 жыл бұрын

    He's so cute! I love his excitement for math!

  • @flyingsquirrel3271
    @flyingsquirrel32718 жыл бұрын

    It says 600 Views, 60 likes and 0 Dislikes!!! This looks just satisfyingly clean and i'm sure it's only possible on Numberphile ;-P

  • @flyingsquirrel3271

    @flyingsquirrel3271

    8 жыл бұрын

    +Flying Squirrel *lol* I refreshed and then it said 2.542 views, 254 likes and 2 dislikes... not sure if i can handle this awesomeness XD

  • @ThisNameIsBanned

    @ThisNameIsBanned

    8 жыл бұрын

    +Flying Squirrel They probably just pressed dislike to make sure the button works, because of your comment ;P

  • @Kevelinu
    @Kevelinu8 жыл бұрын

    Wait. You posted this on Twitter? Twitter has a 140 character limit but this number is 506 digits long? What?

  • @fernandobatl7815

    @fernandobatl7815

    8 жыл бұрын

    probably an image

  • @xgozulx

    @xgozulx

    8 жыл бұрын

    +Hatsune Miku Project Diva Kevelinu beacuse of a glitch on twitter

  • @Root3264

    @Root3264

    8 жыл бұрын

    +Hatsune Miku Project Diva Kevelinu write it as power of (;

  • @Root3264

    @Root3264

    8 жыл бұрын

    Fernando Batl I was too lazy to write the full equation, but you got me! :P

  • @SamuelHauptmannvanDam
    @SamuelHauptmannvanDam8 жыл бұрын

    How does he talk about it so calmly and collected. Like, It is insane how well he is articulating his completely insane thoughts. I'm so impressed. "What a guy".

  • @mattnicholson47
    @mattnicholson476 жыл бұрын

    by far my favorite numberphile video. great vid!

  • @dk6024
    @dk60248 жыл бұрын

    "This is the sort of stuff you communicate with aliens about." Love it!

  • @gavinl6870
    @gavinl68705 жыл бұрын

    3:50 Even though it does seem like it would make a "big change" changing one of those numbers. You also gotta realize that the 8 is approx. 253 numbers into the number. Even if you had a number that's 11 digits long, lets say 99999899999. ((10^11 - 1) - 10^5) With the 8 in the middle. changing the 8 to a 9 wouldn't be a very high increase. You're only increasing it by 100,000. 100,000 of 99999899999 is 0.0001000001%

  • @mrgwinn26
    @mrgwinn265 жыл бұрын

    I love how excited he gets and the crazy eyes and then back to 9s I laugh every time lol 👍🏻👍🏻keep up the gr8 work

  • @RJYounglingTricking
    @RJYounglingTricking5 жыл бұрын

    This was crazy fun! Love that dude.. great job shooting this vid. Feels like you’re right there w him

  • @jl25735
    @jl257357 жыл бұрын

    Dude... Congrats... No more words... You guys make this World better =) i with i had teachers like you, not because of how good you teach but because of how good you make us feel while learning

  • @xavierpaquin
    @xavierpaquin7 жыл бұрын

    Genuinely laughed out loud 4 times in this video... great stuff! Entertaining and educational, I'm a fan.

  • @JulianMakes
    @JulianMakes6 жыл бұрын

    Simon Pampena is so enthusiastic, its brilliant! great vid

  • @BenjaminEhrlich272
    @BenjaminEhrlich272 Жыл бұрын

    It’s really cute how excited you are bravo! I remember when I stayed up all night and “discovered” the relationship between binomial powers and Pascal’s triangle.

  • @lvalentino6325
    @lvalentino63254 жыл бұрын

    "maybe i was the first person..." me when i finally solve a problem for my discrete class 😅

  • @Pika250
    @Pika2508 жыл бұрын

    In fact, any base-b number consisting (as a concatenation) of n rep-(b - 1)'s, 0, and another n rep-(b - 1)'s in that order (such as 999,909,999 in base ten, where n = 4 in this case) factors as: b^(2n + 1) - *(b - 1)* b^n - 1 = (b^(n + 1) + 1) (b^n - 1) (in the example given, the factors were 100,001 and 9,999 neither of which is prime in base ten; in fact they're both multiples of 11: 100,001 = (11)(9,091) while 9,999 = (3^2)(11)(101).)

  • @SirWilliamKidney
    @SirWilliamKidney Жыл бұрын

    Exultantly: "I'm the only person to have discovered this!" In a conspiratorial tone: "*I'm not really but that's how I feel about maths*" I feel his love and wonder for math haha I feel it, what a delightful guy!

  • @coelloello
    @coelloello8 жыл бұрын

    I really like this guy's vids, his enthusiasm for maths is great to watch :)

  • @MaximQuantum
    @MaximQuantum2 жыл бұрын

    One day there will be a book called "Glitch Primes 101"

  • @Gio_Panda
    @Gio_Panda8 жыл бұрын

    That gave me goosebumps!! That's amazing!

  • @greeniaKs
    @greeniaKs8 жыл бұрын

    You usually present cool and complex but yet understoodable concepts about mathematics.. But in this video I felt like I was taking part of his thinking about this idea. It was very enjoyable, keep it up.

  • @scottpano1
    @scottpano18 жыл бұрын

    I really enjoyed this session, great work pals.

  • @aryanarora7046
    @aryanarora70467 жыл бұрын

    @2:54 he misspoke , he said "..this has 506 9s.." but this has 505 9s because there's one 8 and there are 506 digits in it

  • @sandyrivers5974

    @sandyrivers5974

    7 жыл бұрын

    I'm proud of you

  • @kolozubix99

    @kolozubix99

    7 жыл бұрын

    and the world is saved again, we thank you for that

  • @zappawoman5183

    @zappawoman5183

    5 жыл бұрын

    No, that was to factor it as powers of ten. It didn't have an eight until he subtracted the other numbers.

  • @HowtoDoStuffwithEthan

    @HowtoDoStuffwithEthan

    4 жыл бұрын

    so, 10= 10^1, and 10-1=9, so, the power number is the number of 9s. same with 10^2-1, because 10^2=100 and 100-1=99 and that is the power number, 2 so there are 2 nines. same with 10^506-1.

  • @SoI-

    @SoI-

    4 жыл бұрын

    And there was 506 digits which meant it would be 10^50 *7* -10^253

  • @henripoincare9936
    @henripoincare99367 жыл бұрын

    "This is the hole I wanna take you down" - Simon Pampena 7:00

  • @ChrisStavros
    @ChrisStavros6 жыл бұрын

    Really love his method for finding out if a number is prime. First you figure out what the number is as a sum of various powers of ten, then you just eliminate the common denominators in the powers and represent them by algebraic symbols, and as a final step all you have to do is to just put the number into a prime number database and that will tell you if your number was prime or not. Works every time.

  • @LegendaryKenneth
    @LegendaryKenneth4 жыл бұрын

    That look to camera after writing the 8 is priceless

  • @Frrixy
    @Frrixy5 жыл бұрын

    Him: is this a prime? Me: NEIN

  • @jonathan-lph
    @jonathan-lph8 жыл бұрын

    "This is the hole I want to take you down." JUST TAKE ME ALREADYYYY

  • @neelmodi5791
    @neelmodi57918 жыл бұрын

    The same trick also works in base 6: 6^(2x+1)-6^x-1=(2*6^x-1)(3*6^x+1) and we can see that there are no glitch primes of the form 555...5554555...555 in base 6. In fact, in base B+1, there are finitely many primes of the form BBB...BBB(B-1)BBB...BBB if there exists a natural number, n, such that B+1=n(n+1). Let's call b=B+1 for simplicity. Note that the glitch numbers we are looking for are of the form b^(2x+1)-b^x-1=(n*b^x-1)[(n+1)*b^x+1] since n(n+1)=b.

  • @tjabbo7458
    @tjabbo74588 жыл бұрын

    this guy kills it! best video so far

  • @zipzap8937
    @zipzap89378 жыл бұрын

    I really enjoy these types of numberphile videos because the maths isn't overly complex. He's using basic algebra, something everyone should've had in school when they were young.

  • @HP3Lover
    @HP3Lover8 жыл бұрын

    "That would have really made the nerds excited"

  • @nadivkaspi6211
    @nadivkaspi62116 жыл бұрын

    I love Simon videos! He explores totally "useless" but fascinating topics. I love it!

  • @Robster305
    @Robster3058 жыл бұрын

    love the passion man... love it!... more journey stories plz

  • @Felix-ve9hs
    @Felix-ve9hs7 жыл бұрын

    Nein Nein Nein!

  • @secularmonk5176

    @secularmonk5176

    7 жыл бұрын

    Awwww, shuckyducky!

  • @luciabicudopepi3312

    @luciabicudopepi3312

    7 жыл бұрын

    Len

  • @MartKencuda

    @MartKencuda

    7 жыл бұрын

    Shuckyducky Quack Quack, in da house.

  • @Awardeez
    @Awardeez Жыл бұрын

    I applied the divisible rule and it was pretty simple (Not sure about the rules being correct though considering I just googled them)

  • @sandreid87
    @sandreid878 жыл бұрын

    Love this guy and his love for numbers. He's so excited, it's amazing :D

  • @TimJSwan
    @TimJSwan7 жыл бұрын

    I like your precisely defined formal method for compacting. 1:52

  • @Velzen5
    @Velzen58 жыл бұрын

    If this were a course we coulld call it primes 101

  • @Ausaini17
    @Ausaini178 жыл бұрын

    So would 101101 be a normally sighted prime in binary?

  • @thatoneguy9582

    @thatoneguy9582

    6 жыл бұрын

    Ausaini17 No because 45

  • @PuzzleQodec

    @PuzzleQodec

    5 жыл бұрын

    @@thatoneguy9582 1101011 is prime

  • @groszak1

    @groszak1

    5 жыл бұрын

    101101=1001×101 in binary

  • @tonelemoan
    @tonelemoan5 жыл бұрын

    I love the beauty of maths and I am inspired by people who are passionate about it. I wish I'd had someone like you as a teacher when I was young.

  • @Stormy2142
    @Stormy21425 жыл бұрын

    This was such a beautiful thing to watch. Maths is so amazing

  • @agiar2000
    @agiar20004 жыл бұрын

    9:37 "C'mon 'swish'"

  • @user-vl2oi3yr8q
    @user-vl2oi3yr8q8 жыл бұрын

    Did you know that 2015 is 11111011111

  • @zamfofex

    @zamfofex

    8 жыл бұрын

    Snap. You're right! Fancy!

  • @priitsan

    @priitsan

    8 жыл бұрын

    +Felix Berg This is important!

  • @SongSeeker7

    @SongSeeker7

    8 жыл бұрын

    we'll have to wait 100000 years for the next palindrome. Thank goodness I might still be alive!

  • @kerberossi

    @kerberossi

    8 жыл бұрын

    +SongSeeker7 2047.

  • @zamfofex

    @zamfofex

    8 жыл бұрын

    2525shion High Furzi Leader Kitler You guys are derps. SongSeeker7 was saying the number of year in binary! (it's 32 in decimal. 2015+32=2047)

  • @flisboac
    @flisboac6 жыл бұрын

    Awesome, dude! The cyclops thing and your discovery!

  • @gabrielbowser307
    @gabrielbowser3078 жыл бұрын

    I like that your logo appears at the bottom right at time mark 13:14, nice touch.

  • @KasranFox
    @KasranFox8 жыл бұрын

    Binary Glitch Primes would make a great album name.

  • @MaxIzrin
    @MaxIzrin7 жыл бұрын

    Ali-G math genius confirmed!

  • @LazySpaceRaptor
    @LazySpaceRaptor6 жыл бұрын

    This channel always blows my mind.

  • @msgrtuning
    @msgrtuning8 жыл бұрын

    Super, je ne suis pas le seul à me poser des problèmes de ce genre sur l'esthétique des nombres et leur particularité ahah. J'ai vraiment aimé cette vidéo :)

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