Absolute Primes - Numberphile

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  • เผยแพร่เมื่อ 10 พ.ย. 2024

ความคิดเห็น • 778

  • @numberphile
    @numberphile  หลายเดือนก่อน +26

    See brilliant.org/numberphile for Brilliant and 20% off their premium service & 30-day trial (episode sponsor)
    Patrons can see some behind-the-scenes animation pics... www.patreon.com/posts/112540138

    • @MacAlister11
      @MacAlister11 หลายเดือนก่อน

      7wj80

    • @Anonymous-df8it
      @Anonymous-df8it หลายเดือนก่อน +1

      4:36-4:41 "If only we had a test to work out if 91 was divisible by 7, but there isn't one, so we'll move on." Take the last digit, then subtract it from the rest of the number. The resulting number is divisible by seven if and only if the original number is

    • @CatherineJessicaNatof
      @CatherineJessicaNatof หลายเดือนก่อน

      What of 107?
      071

    • @GamerGod_1000
      @GamerGod_1000 หลายเดือนก่อน +1

      ​@@CatherineJessicaNatof what of 710?

    • @ChefSalad
      @ChefSalad หลายเดือนก่อน

      991. I win.

  • @dskinner6263
    @dskinner6263 หลายเดือนก่อน +952

    The animator did such an excellent job of resuscitating my childhood memories of educational television. Sound effects are spot-on too 👍

    • @numberphile
      @numberphile  หลายเดือนก่อน +279

      Thanks animator Pete

    • @warrensharp6681
      @warrensharp6681 หลายเดือนก่อน +68

      Shout out to animator Pete🙌🙌🙌

    • @seventhtenth
      @seventhtenth หลายเดือนก่อน +3

      the visual aid would be nice for calculus or diff eq, but for number theory without notation? distracting for a simple number theory video imo

    • @robinbrowne5419
      @robinbrowne5419 หลายเดือนก่อน +9

      Yes. I was just waiting for the Count to start counting.

    • @37wheels
      @37wheels หลายเดือนก่อน +6

      Peak sesame street vibes 😊

  • @henryginn7490
    @henryginn7490 หลายเดือนก่อน +573

    Starting the video off with a number, explaining how it satisfies some property that is almost certainly uesless, and James Grime with his unbounded enthusiasm... this is the classic numberphile content I love. Animations were especially nice this time as well.

    • @markstambaugh
      @markstambaugh หลายเดือนก่อน +4

      Agree. The claymation was slick

    • @furnacego2164
      @furnacego2164 หลายเดือนก่อน

      I don't know about useless. It brings up questions about the the entire structure of mathematics

    • @RubidiumOxide
      @RubidiumOxide หลายเดือนก่อน +2

      @@furnacego2164Agreed, if somebody gets interested in math more generally because of this property, then it’s not useless

  • @Cossieuk
    @Cossieuk หลายเดือนก่อน +356

    37 is the 12th prime and its circular prime 73 is the 21st prime

    • @josephkarl2061
      @josephkarl2061 หลายเดือนก่อน +18

      This is the kind of information I came here for 😃😃

    • @konuralpyldzkan1495
      @konuralpyldzkan1495 หลายเดือนก่อน +16

      the most absolute absolute prime

    • @vibaj16
      @vibaj16 หลายเดือนก่อน +4

      @@konuralpyldzkan1495 if only 12 was a circular prime

    • @kennethvalbjoern
      @kennethvalbjoern หลายเดือนก่อน +5

      Cool - and absolutely useless 🤓

    • @jonathanrichards593
      @jonathanrichards593 หลายเดือนก่อน

      @@vibaj16 Well, it is... in base 3. 1 * 3^1 + 2 * 3^0 = 5 (prime) and 2 * 3^1 + 1 * 3^0 = 7 (prime). 😁
      In my defence, the whole idea is nuts, so changing bases for extra laughs seems well in order!

  • @RichardHolmesSyr
    @RichardHolmesSyr หลายเดือนก่อน +317

    In binary, the circular primes are the Mersenne primes (and they're all boring).

    • @Einyen
      @Einyen หลายเดือนก่อน +39

      And in binary the repunit primes are also the Mersenne primes...

    • @cancun101
      @cancun101 หลายเดือนก่อน +2

      Was about to comment the same thing!

    • @ViolentSillyGirl
      @ViolentSillyGirl หลายเดือนก่อน

      1111111111111111111 is my favorite prime ^^

    • @ragnkja
      @ragnkja หลายเดือนก่อน

      Yeah, repunits are trivial as circular primes no matter the base.

    • @stuartmcconnachie
      @stuartmcconnachie หลายเดือนก่อน

      There are no circular primes, only repunits. A binary circular prime would contain a zero, and when you rotated that to the units position it would be divisible by 2.

  • @3Max
    @3Max หลายเดือนก่อน +294

    Sort of mentioned in the video, but the 3 listed "non-boring" jumble primes are actually "boring" as well. They are of the form ABB, so their permutations are equivalent to the cycles. So there is no non-boring jumble prime.

    • @scottclowe
      @scottclowe หลายเดือนก่อน +15

      Yes, I was surprised that all base-ten jumble primes are [merely] cyclic primes!

    • @Bluhbear
      @Bluhbear หลายเดือนก่อน +1

      I was coming down here to say the same thing.

    • @konuralpyldzkan1495
      @konuralpyldzkan1495 หลายเดือนก่อน +1

      there is 197

    • @scottclowe
      @scottclowe หลายเดือนก่อน +15

      @@konuralpyldzkan1495 197 is a prime but not a jumble/absolute prime because 719=7*113 isn't prime, and 917=7*131 isn't prime. They specified all the base-ten absolute primes in the video.

    • @phiefer3
      @phiefer3 หลายเดือนก่อน +5

      @@scottclowe by definition, all jumble primes must be circular. If all permutations of the number are prime, then that includes all of the cycles as well, so it's not surprising at all.
      If you meant that all jumble primes are of a form where all permutations are a part of the cycle, then that's actually not surprising either. Otherwise the list of circular primes would have to contain entries that were permutations of eachother. For example, if 197 was a jumble prime, then 179 would have needed to be a circle prime as well. Or for 3779 to be a jumble prime, then 3797 and 3977 would both need to be circle primes. Basically, because none of the circle primes are permutations of eachother (outside of their own cycles) means that the only jumble primes are those whose cycles contain all of their permutations.

  • @ericpeterson6520
    @ericpeterson6520 หลายเดือนก่อน +113

    In binary, all circular primes will be repunits, because rotating a 0 to the end would give you an even number. And since repunits in binary are all of the form 2^n-1, the circular primes in binary are just the Mersenne primes

    • @thepro4805
      @thepro4805 หลายเดือนก่อน

      such a smart observation, was thinking about how this would work on binary as well lol :)

    • @apokalypthoapokalypsys9573
      @apokalypthoapokalypsys9573 18 วันที่ผ่านมา +1

      That can't be right. All repunits in binary are divisible by 3, therefore cannot be primes.

  • @BrianRousseau
    @BrianRousseau หลายเดือนก่อน +80

    My favorite thing about 1111111111111111111 is that if we treat it as a binary expression and convert it to base 10, it becomes 524287... which is also prime.

    • @NoNameAtAll2
      @NoNameAtAll2 หลายเดือนก่อน +2

      you mean binary?

    • @ericbarr734
      @ericbarr734 หลายเดือนก่อน +3

      That is a fun fact!

    • @drggayathridevi195
      @drggayathridevi195 14 วันที่ผ่านมา

      They are Mersen primes

    • @drggayathridevi195
      @drggayathridevi195 14 วันที่ผ่านมา +2

      2^23-1 edit can you see Krishna Sayee rules number that’s me who s there and thanks for 2likes

    • @TheNameOfJesus
      @TheNameOfJesus 11 วันที่ผ่านมา

      @@drggayathridevi195 I'm sad that this video didn't explain Mersenne primes and explain whether we know if they are infinite.

  • @ZXD121
    @ZXD121 25 วันที่ผ่านมา +3

    Numberphile, I am working on my (currently amateur) master’s thesis in abstract mathematics, and you have taught me so much I would have never been able to even concieve had I not found your channel. I absolutely ❤❤❤ your channel, your videos are 5⭐️⭐️⭐️⭐️⭐️

  • @bigpopakap
    @bigpopakap หลายเดือนก่อน +54

    We've gotten James so much recently, that it almost feels normal again! Yay, still glad to have James back!

  • @trevinbeattie4888
    @trevinbeattie4888 หลายเดือนก่อน +103

    “Who knows? Let’s find out!” I love James’ enthusiasm.

    • @ultracreador
      @ultracreador หลายเดือนก่อน

      Este concepto de primos absolutos solo funciona en la base decimal. Para otras bases numéricas, simplemente se aplican otras reglas.

    • @laurendoe168
      @laurendoe168 หลายเดือนก่อน +1

      "Mister Owl, how many licks does it take to get to the Tootsie Roll center of a Tootsie Pop?" "Let's find out. One.... two... three . Three"

    • @TheGodpharma
      @TheGodpharma หลายเดือนก่อน

      @@ultracreador They did make that clear in the video.

  • @Babbler49
    @Babbler49 หลายเดือนก่อน +102

    The Parker "Cicular" Prime: a prime that is almost circular except for one composite form.

    • @RonJohn63
      @RonJohn63 หลายเดือนก่อน +5

      Damn, you beat me to it.

    • @CristianBaeza-rh7zq
      @CristianBaeza-rh7zq หลายเดือนก่อน

      Same 😂😂😂

    • @RohitKulan
      @RohitKulan หลายเดือนก่อน

      I'll name one: 29

    • @mathphysicsnerd
      @mathphysicsnerd หลายเดือนก่อน

      you misspelled circular

  • @sarahdaviscc
    @sarahdaviscc หลายเดือนก่อน +95

    You loved Blue's Clues but have you seen Grime's Primes?

  • @RichardHolmesSyr
    @RichardHolmesSyr หลายเดือนก่อน +80

    I checked bases 2 through 16 going up to 6 digits and found just four absolute primes that have more than two different digits (and therefore include more permutations than circular shifts): In base 11: 139 and 36a; in base 13: 247 and 78a.
    Many bases have absolute primes that are longer than 3 digits and are not repunits (but are "near-repunits"): for instance 7777d base 15. But not in base 10.

    • @RichardHolmesSyr
      @RichardHolmesSyr หลายเดือนก่อน +23

      In prime number bases every digit except 0 is legal, so you get more possibilities and end up with more absolute primes.

    • @tadeuszkubera3060
      @tadeuszkubera3060 หลายเดือนก่อน +2

      By my logic the higher the base while being prime number the more absolute primes. I'd bet that base 17 and base 19 have at least 2 each absolute primes with at least 3 different digits, maybe even 4 different digits one is on the cards.

    • @RichardHolmesSyr
      @RichardHolmesSyr หลายเดือนก่อน +8

      @@tadeuszkubera3060 I'll take that bet (now that I've checked...) In base 17 I find no non-repunit absolute primes higher than 6ddd and none at all with 3 different digits. Base 19 has just 29e with 3 different digits, and none above 2ddd.
      Base 23 has 49i and 6ef but no others with 3 different digits, and no non repunit absolute primes above biii.
      Through base 31, the only ones of these "very absolute primes" as we might as well call them are 3 digits, of which base 29 has 5.

    • @Mayur7Garg
      @Mayur7Garg หลายเดือนก่อน +1

      You can have more permutations than circular shifts even with 2 digits. Example a number of form ABAB. Any absolute primes like that?

  • @friiq0
    @friiq0 หลายเดือนก่อน +46

    John Conway has a famous “proof” that 91 is the first composite number that looks prime.

    • @trimeta
      @trimeta หลายเดือนก่อน +22

      I like "the first non-obvious composite" as the name for 91. It's actually a pretty brief proof: any multiple of 2, 3, 5, or 11 will look composite, as will squares. So the smallest non-obvious composite must be 7*13, which is 91.

    • @alexandersanchez9138
      @alexandersanchez9138 หลายเดือนก่อน

      I first saw it in a lecture he gave about FRACTRAN.

    • @Jeff_Saunders
      @Jeff_Saunders หลายเดือนก่อน +7

      And Grothendieck has a famous counterexample!

    • @friiq0
      @friiq0 หลายเดือนก่อน +7

      @@Jeff_Saunders Of course! 57, right?

    • @rich1051414
      @rich1051414 หลายเดือนก่อน +4

      ​@@trimeta It's neat when someone has the kind of brain that can work backwards to figure out why something 'feels' correct, even when it isn't.

  • @DusanPavlicek78
    @DusanPavlicek78 หลายเดือนก่อน +3

    I love the old-school stop-motion animations. Perfect.

  • @Vodboi
    @Vodboi หลายเดือนก่อน +10

    1:02 Thank you for acknowledging this early. I find it frustrating when something is base-specific without it ever being mentioned, as it can mislead people into seeing a pattern where it is really just a coincidence based on an arbitrary choice.

    • @themasterofthemansion3809
      @themasterofthemansion3809 หลายเดือนก่อน +4

      Yeah. People using base 10 especially have this bad habit not mentioining the base.

    • @jcorey333
      @jcorey333 หลายเดือนก่อน +2

      Interestingly enough, It would be impossible to have non-repunit circular primes in base 2.

  • @swankitydankity297
    @swankitydankity297 หลายเดือนก่อน +187

    the animations in this video are really cool

    • @bimblinghill
      @bimblinghill หลายเดือนก่อน +5

      I hope they're real stop-motion, not digital!

    • @GorFrag
      @GorFrag หลายเดือนก่อน +4

      very old school sesame street

    • @NabeelFarooqui
      @NabeelFarooqui หลายเดือนก่อน

      Does it say anywhere who makes them?

    • @OutbackCatgirl
      @OutbackCatgirl หลายเดือนก่อน +1

      ​@@GorFragwow i did not expect to spot a wild dorin in the comments of numberphile! worl smol, number cool

    • @commaJim
      @commaJim หลายเดือนก่อน

      You're really cool

  • @samuelwoods6648
    @samuelwoods6648 หลายเดือนก่อน +15

    He was so confident there wouldn't be a bigger absolute prime until the idea of having dinner with the nerd who finds it came up

  • @RobKaiser_SQuest
    @RobKaiser_SQuest หลายเดือนก่อน +6

    I've been watching this channel for 8-10 odd years and James Grime hasn't aged a day nor lost any of his energy. Buddy is a beaut

  • @k5555-b4f
    @k5555-b4f หลายเดือนก่อน +5

    i just love this dude's way of explaining things, simple and clear- sign of a great mind imo

  • @StephanTrube
    @StephanTrube หลายเดือนก่อน +72

    1.....1 with 19 digits is a prime? How cool! Will try to remember that just in case, if I ever need a fairly big prime number in a life or death situation.

    • @asheep7797
      @asheep7797 หลายเดือนก่อน +31

      But what if you need a prime that is at least 20 digits, and they can't all be ones?
      Remember:
      12345678910987654321.

    • @KitagumaIgen
      @KitagumaIgen หลายเดือนก่อน +8

      @@asheep7797 With my poor short-term memory and generally "bad luck in ironic circumstances" this will not end well...

    • @Howiefm28496
      @Howiefm28496 หลายเดือนก่อน

      @@asheep7797excellent choice for a password that hackers would never guess😅

    • @backwashjoe7864
      @backwashjoe7864 หลายเดือนก่อน +1

      I will add this to the list of ways that James Bond will not meet his end!

    • @julioaurelio
      @julioaurelio หลายเดือนก่อน +9

      Belphegor's Prime: 1000000000000066600000000000001
      A palindromic prime with 31 digits!

  • @djsmeguk
    @djsmeguk หลายเดือนก่อน +32

    Writing down that number would require more than the number of particles in the universe. I think James' challenge is safe.

    • @RichardHolmesSyr
      @RichardHolmesSyr หลายเดือนก่อน +11

      Writing it as a sequence of digits, sure, but you can also write it as just the two distinct digits plus the total number of times you use the first digit (which is something like a 175 digit number), so specifying such a number is easily possible. Testing the primality is another matter...

    • @djsmeguk
      @djsmeguk หลายเดือนก่อน +9

      @@RichardHolmesSyr Testing primality would likely require the full representation in some form. Also, you'd need to keep track of each of the positions of the b digit once checked for primality. Which would require the same number of states as digit count. Computationally extremely challenging for sure.

  • @TheMichaelmorad
    @TheMichaelmorad หลายเดือนก่อน +20

    the animator here had a lot of fun making this video

  • @Jonny_XD_
    @Jonny_XD_ หลายเดือนก่อน +18

    Pete McPartlan do be cooking with these animations 🔥🔥🔥

  • @drcgaming4195
    @drcgaming4195 หลายเดือนก่อน +5

    i love how much effort the animator went into the animations!

  • @benpetersjones
    @benpetersjones หลายเดือนก่อน +62

    James the @singingbanana talking about primes on Numberphile is my happy place.

  • @rosiefay7283
    @rosiefay7283 หลายเดือนก่อน +34

    Now there's a surprise, Primed (!) by your video's title, I thought that 19937 would be special because it's the exponent of a Mersenne prime --- indeed, the prime that is the basis of the Mersenne Twister. Didn't know this additional property of 19937.

    • @Ardient_
      @Ardient_ หลายเดือนก่อน +1

      woah cool!

    • @ben1996123
      @ben1996123 หลายเดือนก่อน +1

      in particular, mersenne primes are just base 2 repunit primes and hence also circular and absolute

  • @JMUDoc
    @JMUDoc หลายเดือนก่อน +139

    "... if only there was a test to see if something is divisible by seven..."
    Tony Padilla: am I a joke to you!?

    • @soilnrock1979
      @soilnrock1979 หลายเดือนก่อน +94

      He was actually referring to his own video about "Solving Seven" from two months ago :-)

    • @magnus0017
      @magnus0017 หลายเดือนก่อน +12

      I mean, to be fair, one way to test it would be dividing it by seven and seeing if there is a remainder.

    • @EastBurningRed
      @EastBurningRed หลายเดือนก่อน +28

      the divisibility by 7 tests have the same computational complexity as just dividing by 7

    • @Nicoder6884
      @Nicoder6884 หลายเดือนก่อน +5

      @@EastBurningRed True, but they generally require less thought for a human being.

    • @AndrewWainwrightPA
      @AndrewWainwrightPA หลายเดือนก่อน

      Yes this was supposed to be a joke! TL;DR: write n={a}b where b is the last digit and {a} is all the rest. Then n mod 7 = (a-2b) mod 7. So with 91, 9-2.1=7 so 91 is divisible by 7 💚

  • @MonsieurBiga
    @MonsieurBiga หลายเดือนก่อน +80

    "Who knows?? I know." 😂

    • @supermarc
      @supermarc หลายเดือนก่อน +4

      Plot twist: he didn't know

  • @Freytana
    @Freytana หลายเดือนก่อน +1

    Thank you for the video! I just wanted to say that whoever did the thumbnail for this video is brilliant - I instantly understood the premise despite not having heard of this concept before.

  • @TooMuchDad
    @TooMuchDad หลายเดือนก่อน +22

    Really loved the stop motion you did with the number blocks :)

    • @numberphile
      @numberphile  หลายเดือนก่อน +19

      Animator Pete McPartlan was the man!

  • @bjornmu
    @bjornmu หลายเดือนก่อน +20

    I actually referred to the number 19937 at work this week, 😁I found that a program crashed because it tried to allocate 19937 bits in a place where this was too much. This is used in a pseudo number generator based on the fact that 2^19937-1 is a prime.

    • @Anonymous-df8it
      @Anonymous-df8it หลายเดือนก่อน +2

      What was the algorithm?

    • @bjornmu
      @bjornmu หลายเดือนก่อน

      @@Anonymous-df8it It's called Mersenne Twister.

    • @wanfuse
      @wanfuse หลายเดือนก่อน

      @@Anonymous-df8itMersenne Twister MT19937

    • @nothayley
      @nothayley หลายเดือนก่อน +2

      @@Anonymous-df8it Mersenne twister!

    • @EaglePicking
      @EaglePicking หลายเดือนก่อน

      @@nothayley That's pretty cool about 19937 indeed.

  • @David_Last_Name
    @David_Last_Name หลายเดือนก่อน +1

    I insist that all future numberphile videos display any number animations via number blocks. I loved it!

  • @avi12
    @avi12 หลายเดือนก่อน +7

    There's something very satisfying in the animation with the sound effects

  • @Hyo9000
    @Hyo9000 หลายเดือนก่อน +8

    In binary, the only circular primes are rep-units. Rep-unit primes in binary are Mersenne Primes. There are infinitely many circular primes in binary if and only if there are infinitely many Mersenne Primes.

  • @stheil
    @stheil หลายเดือนก่อน +27

    Eh sure you can do it in binary too but they'd all be boring repunits. Can't contain even a single 0

    • @zinxys
      @zinxys หลายเดือนก่อน +6

      So , for base 2, it is all the Mersenne primes and nothing more.

  • @sokleidas5605
    @sokleidas5605 หลายเดือนก่อน +4

    There is a test for divisibilty by 7.
    Let n = 10 a + b; h = 2. If 7 | a - hb, then 7 | n. In our case: 91 = 10 x 9 + 1; 9 - 2 x 1 = 7; 7 | 7.
    This is easily generalised:
    (10, m) = 1
    10h ≡ 1 (mod m)
    10a + b ≡ 0 (mod m)
    h(10a + b) = 10ah + bh ≡ a + hb (mod m).
    Take m = 7:
    10h ≡ 1 (mod 7)
    h ≡ 5 ≡ -2 (mod 7).

  • @beregond.
    @beregond. หลายเดือนก่อน +2

    I absolutely agree that "jumble prime" is a better term for this than "absolute prime".

    • @numberphile
      @numberphile  หลายเดือนก่อน +1

      I agree. :)

  • @nicksamek12
    @nicksamek12 หลายเดือนก่อน +14

    I’m surprised the factors you decided for 22,33… I would say 11 :D

  • @WarmongerGandhi
    @WarmongerGandhi หลายเดือนก่อน +52

    If all of the absolute primes have to be of the form aaa...ab, they're all kind of "uninteresting" in the sense that all of the permutations will be identical to one of the rotations.

    • @ralphengland8559
      @ralphengland8559 หลายเดือนก่อน +7

      That's what I was thinking.

    • @hughcaldwell1034
      @hughcaldwell1034 หลายเดือนก่อน +5

      Pseudo-boring absolute primes.

    • @RichardHolmesSyr
      @RichardHolmesSyr หลายเดือนก่อน +3

      In bases 11 and 13 there are (3-digit) exceptions.

    • @ruudh.g.vantol4306
      @ruudh.g.vantol4306 หลายเดือนก่อน

      Which was already mentioned in the video.

  • @brumd
    @brumd หลายเดือนก่อน +6

    Ha, someone is having a blast with his modular synth! :) Always appreciate the tasteful sound fx on Numberphile.
    Wild guess: I hear monophonic analog sounds, with some wavefolding here and there, filtersweeps and lots of S&H going on. I wouldn't be surprised if all sounds come from Make Noise's 0-Coast. But of course, I could be entirely wrong..
    O yes, nice video too!

  • @emiltonklinga3035
    @emiltonklinga3035 หลายเดือนก่อน +14

    9:43 Those 3-digit primes are also boring since they have no more permutations than the rotations.

    • @kennethvalbjoern
      @kennethvalbjoern หลายเดือนก่อน +1

      So they must be the same!

    • @cgduude
      @cgduude หลายเดือนก่อน +2

      They address this in the video. Love people that comment trying to prove something before the video is done, lol

    • @emiltonklinga3035
      @emiltonklinga3035 หลายเดือนก่อน +1

      @@cgduude Yeah, I didn't watch until the end. Like the primes the video also got boring 😏

    • @PC_Simo
      @PC_Simo หลายเดือนก่อน +1

      9:48 I was *_LITERALLY_* about to comment *_THE SAME EXACT_* thing 😅.

  • @RachelsSweetie
    @RachelsSweetie หลายเดือนก่อน +1

    The animations always have new ways of being interesting. Well done!

  • @icetruckthrilla
    @icetruckthrilla หลายเดือนก่อน +54

    So is 13 the first non-boring circular prime? Update: it is

  • @izzilike5278
    @izzilike5278 หลายเดือนก่อน +1

    Big compliments to the animator. It´s so much fun to watch❤

  • @electrikhan7190
    @electrikhan7190 หลายเดือนก่อน +2

    Your block animations on point.
    12:39 lies, what you have is worth more than gold.

  • @NintendoSunnyDee
    @NintendoSunnyDee หลายเดือนก่อน

    Always love to see James in these!

  • @whirlingincosmos
    @whirlingincosmos หลายเดือนก่อน

    Props to animator Pete for the brilliant animation! It feels like watching an educational show on CBeebies. Sound effects are spot on too.
    Thank you Numberphile for enabling my love of prime numbers :D

  • @zoplonix_reverse_engineering
    @zoplonix_reverse_engineering หลายเดือนก่อน +2

    This proves part of my research into primes!!! Thanks so much. Just need help explaining it

  • @tristancam7219
    @tristancam7219 หลายเดือนก่อน +5

    In binary: could not contain a 0 so essentially must be primes of the form 2^k - 1 (repunits then)

  • @omri.d
    @omri.d หลายเดือนก่อน +2

    Is the flight to the dinner is paid too in the bounty?
    What an awesome animation is that! Looks like it's a photo stop motion

  • @RJSRdg
    @RJSRdg หลายเดือนก่อน +4

    There are no rotating primes in binary other than rep primes. Any binary number is made up of 0s and 1s. Any binary number beginning with a 0 is even. So any prime with a 0 in it cannot be a rotating prime because the 0 would work its way to the first digit and make the number even. So rotating primes in binary can only have 1s in them, which makes them rep primes.

  • @russelleverson9915
    @russelleverson9915 หลายเดือนก่อน +1

    Excellent video as always. Although I'm a little sad that they didn't explicitly mention the emirps. (Those primes which, when their digits are reversed, result in a number that is also a prime). For two digits - The emirps are synonymous with circular primes and absolute primes. 13&31, 17&71, 37&73.. For three or more digits the emirp definition is less restrictive than circular primes and absolute primes.

  • @SoleaGalilei
    @SoleaGalilei หลายเดือนก่อน +2

    The animator didn't need to go this hard, but he did!

  • @davelennie1591
    @davelennie1591 หลายเดือนก่อน +1

    Really nice job on the visualizations for this one!

  • @viola_ti_do4291
    @viola_ti_do4291 หลายเดือนก่อน

    This is so neat! I'm not really great at math in general, but this channel has shown me how interesting prime numbers are!

  • @toolebukk
    @toolebukk หลายเดือนก่อน +3

    Top notch animations in this!

  • @MrBazat
    @MrBazat หลายเดือนก่อน +1

    1 on 1 dinner with James Grime?! Screw the Riemann hypothesis, this is the NEW chase problem of the 21st century.

  • @azrobbins01
    @azrobbins01 หลายเดือนก่อน +3

    Dinner with Dr. Games Grime?! Now I wish I had studied more in school!

  • @mrjava66
    @mrjava66 หลายเดือนก่อน +3

    10:42 a repeated digit in a three digit circle prime, makes the circle and jumble comparison the same. So, if we define a non-trivial jumble prime as a prime with the digits in any order that has an order of digits that is not in the circular prime, then there are NO known non-trivial jumble primes in base ten. And the LaGrou-Conjecture of jumble primes is that there are NO non trivial jumble primes. !

    • @mrjava66
      @mrjava66 หลายเดือนก่อน

      In base 10

    • @mrjava66
      @mrjava66 หลายเดือนก่อน

      12:05 ug, I guess my conjecture has already been proven. 😢

  • @ryderthursday8397
    @ryderthursday8397 หลายเดือนก่อน +1

    If I couldn’t speak a human language, I still just think listening to Dr grimes and Brady would be as soothing as non random white noise… this is what should have gone out in the anti-fermi paradox satellite

  • @johnnye87
    @johnnye87 หลายเดือนก่อน +2

    If you asked me to name a "really big" number before I discovered Maths TH-cam I'd have said, like... a billion?

  • @TheMarbleousMarbler
    @TheMarbleousMarbler หลายเดือนก่อน +2

    I wonder if anyone realises that the question of "are there infinitely many circular primes?" reduces to the more well-known question of "are there infinitely many Mersenne primes?" when you're working in base 2.

  • @DivyaniSharma93
    @DivyaniSharma93 หลายเดือนก่อน +2

    Dinner with James Grime? *Starts bounty hunting right away*

  • @scarrow
    @scarrow หลายเดือนก่อน

    One thing I really like about this is that it neatly explains how we imagine a number in base-10 might be prime. It explains the intuition that such a number should have a lot of odd digits, and that it should have a 1 or a 7 in it. In other words, if you ask me to give you a 5-digit number that might be prime I think this is the intuition I will try to employ.

  • @RealCadde
    @RealCadde หลายเดือนก่อน +2

    I was expecting James to say "The price for finding a bigger absolute prime would be 337 pounds."

  • @GrennaJeen
    @GrennaJeen หลายเดือนก่อน +1

    Amazing sound effects work!

  • @oz_jones
    @oz_jones หลายเดือนก่อน +2

    Dr Grime is extra sassy today. Love it.

  • @Nethershaw
    @Nethershaw หลายเดือนก่อน

    I've been playing _Voices of the Void_ and that little wooden maquette on the bookshelf behind Dr. Grime heckin' jump scared me.

  • @scarrow
    @scarrow หลายเดือนก่อน +1

    I thought an interesting fact that wasn't mentioned in the video (unless I missed it) is that for these larger numbers, there must be at least one 1 or 7 digit, because all the numbers that are only composed of 3s and 9s are divisible by 3.

  • @danieljmitro
    @danieljmitro หลายเดือนก่อน +2

    I love those animations!

  • @WAMTAT
    @WAMTAT หลายเดือนก่อน +17

    James Primes is back!

  • @youtubersingingmoments4402
    @youtubersingingmoments4402 หลายเดือนก่อน +10

    7:45 "You could do it in binary" and would have the most boring afternoon ever lol.

  • @namantenguriya
    @namantenguriya หลายเดือนก่อน

    I love Dr. James Grime! ❤
    God bless him..

  • @zebfross
    @zebfross หลายเดือนก่อน

    I love Frost's commentary but it's still fun when he goes ultra brain, giga mode. Another wild run!

  • @KarstenJohansson
    @KarstenJohansson หลายเดือนก่อน +4

    2:36 Here is where I ran out of fridge magnet 1's.

  • @amirilan4435
    @amirilan4435 หลายเดือนก่อน +1

    Oh boy, starting to look for a big jumble prime right away!

  • @krupam0
    @krupam0 หลายเดือนก่อน +7

    7:40 Well, I'm glad I watched the video before posting my comment.

  • @Thrna_1
    @Thrna_1 หลายเดือนก่อน +3

    This is prime content.

  • @james-fy1ms
    @james-fy1ms หลายเดือนก่อน +1

    The real question is where is James hiding the fountain of youth

  • @deliciousrose
    @deliciousrose หลายเดือนก่อน +5

    4:35 cheeky reference!

  • @GARDENER43
    @GARDENER43 หลายเดือนก่อน +1

    8177207 ones is currently the largest known repunit (probable) prime.

  • @robfarquharson
    @robfarquharson หลายเดือนก่อน

    There is a test for multiples of 7: you can subtract any digit, and double that digit from the next digit to the left. If that is a multiple of 7 then so is the original number. With 91 you subtract the 1 from the ones, and doubling that subtract 2 from the tens, leaving 70, which of course is a multiple of 7.

  • @terrydarhk
    @terrydarhk หลายเดือนก่อน +2

    I’m inclined to believe that I would take that dinner over any meagre millennium prize-“millennium prize problem prize?”

  • @acaryadasa
    @acaryadasa หลายเดือนก่อน +2

    I like the old school stop motion.

  • @Pystro
    @Pystro หลายเดือนก่อน +1

    What about palindromic primes? There should be more of those.

  • @joehopfield
    @joehopfield หลายเดือนก่อน +1

    Love the 70s sesame Street animations.❤

  • @aryatripathi2486
    @aryatripathi2486 หลายเดือนก่อน +1

    Can't wait to have dinner with James:)

  • @thirstyCactus
    @thirstyCactus หลายเดือนก่อน

    great sounds effects!

  • @draketungsten74
    @draketungsten74 หลายเดือนก่อน

    I love the sound effects

  • @PowerGumby
    @PowerGumby หลายเดือนก่อน +1

    a true rotational prime, a rotational prime that can be rotated back to the same number a rotational prime amount of times

  • @JohnTaylor-sy8tr
    @JohnTaylor-sy8tr 22 วันที่ผ่านมา

    Brilliant explanation Of prime numbers!!

  • @24c0xy
    @24c0xy หลายเดือนก่อน +37

    733 is an absolute prime and is bigger than 337.
    James owes me dinner

    • @skarfie123
      @skarfie123 หลายเดือนก่อน +17

      991 is even bigger

    • @HammerShock23
      @HammerShock23 หลายเดือนก่อน +3

      Went to the comments to see if anyone beat me to it 😂

    • @AkiSan0
      @AkiSan0 หลายเดือนก่อน

      he says that in the video...

    • @bhavikgoyal6843
      @bhavikgoyal6843 หลายเดือนก่อน

      ​@AkiSan0 yeah but he in the end made an absolute sbomination of a mistake to say 337/733 and not 991

  • @sanssoleilfilm
    @sanssoleilfilm หลายเดือนก่อน

    I love James Grime!

  • @Fallub
    @Fallub หลายเดือนก่อน +2

    “who knows, who knows… I know” 😂😂

  • @nhatminhtranngoc8940
    @nhatminhtranngoc8940 หลายเดือนก่อน +2

    19937 is also picked because it's a Mersenne prime exponent

  • @kallekula84
    @kallekula84 16 วันที่ผ่านมา

    A suggestion for a future video I would love for you guys is to go in to the topic of long scale vs short scale maths and why different countries use them. Million/milliard, billion/billiard and trillion/trilliard vs million, billion and trillion.

  • @LunarcomplexMain
    @LunarcomplexMain หลายเดือนก่อน +1

    imagine some incredible number being found one day and the reasoning behind this amazing discovery is wanting to have dinner with a mathematician lmao, I mean who wouldn't want that though...

  • @Gunstick
    @Gunstick หลายเดือนก่อน +2

    I like the stop motion animations. Was that a lot of work?