I once heard rumors of one mathematican (don't recall his name) who was so proud of his theorem having no practical application at all, that when the US air force (or the NASA, don't remember exactly) eventually found an application for it he instantly retired from mathematics and went to exile.
Another fun number is the following base-36 prime: 10000000000halloween00000000001. I was able to find only two more primes of this kind: 10000000000000halloween00000000000001 10000000000000000halloween00000000000000001 Are there more? In the same spirit, a nice base-32 Numberphile prime: 1000000000000numberphile0000000000001.
@@aleksapetrovic7088 Yes. If you convert the prime number 48873677980689263911084361359049059985440899073 to base-36, you'll get 10000000000halloween00000000001. :)
100000000000066600000000000001 Number of 1's = 2 Number of 000's(on one side) = 13 Number of 6's = 3 The number of digits of the same number are all prime! So spooky Brady!
I show this to my New Testament class every year when we study Revelation, and it is one of their favorite videos. Thank you for all your amazing content!
I had no idea something like this existed. Only evil numbers are numbers that you shout out loud, miss out on lunch and dinner, takes hours to complete saying
Don't forget the 1s on the end being like devil horns. And 4, my favorite number, means "death" in Chinese and Japanese. And my favorite number in terms of it being evil is 51904. You're going to have to try to hex it back to know why.
Cool video Brady! I've been thinking about a maths problem... Say you have a Venn diagram with 2 groups to start with. How can you make all areas represent the size of the corresponding subgroup? For example: A ∩ B' has 1 element, A ∩ B has 2 elements, A' ∩ B has 3 elements. In this example A and B contain 3 and 5 elements respectively, so B should be 5/3 as big VISUALLY. But how close to each other should the centres of A and B be such that the area of the intersection represents 2 elements? I.e. what is the function relating the relative sizes and overlap to how close the centres should be? (...and then 3 groups...) It would be really cool if you could do a video on that! Thanks!
Also, the following is known: The sum of reciprocals of all natural numbers that don't contain the string 666 is finite. It follows (because the sum of harmonic series diverges): The sum of reciprocals of all natural numbers that do contain the string 666 is infinite. (Of course, there's nothing special about the string 666; the same is true for any finite string of digits, and any base. For example, the sum of 1/n over all numbers whose base-10 representation does not contain the the string 1234567890, or whose base-13 representation does not contain the string 42, is finite.)
From someone who loves studying ancient history and people’s past beliefs, to be fair - 666 wasn’t originally known to be the devil’s number. 6 in numerology is known to be a number that brings balance after the “destruction” of 5 as an odd number that topples the more “4”. Pretty fun to read mythological texts in this light because there’s a lot of numerology symbolism in there, and even today, some literary authors may still use that symbolism. It was Christianity in the Middle Ages that made it all “evil” and like that, when numerology, even if the idea of your birth date matching a number personality is false, is still useful for being able to see different themes of symbolism to understand the story of your life.
You have two ways to write a one: either a vertical stroke or a vertical stroke with top stroke and bottom serif. I only write it with the top stroke. I guess a vertical stroke with only a bottom serif (inverted T) would be the most evil way to write a one.
The reason the 1(n zeroes)616(n zeroes)1 isn't prime is because 1+6+1+6+1=15, which is divisible than 3. No matter how many zeroes, the sum of digits will always be 15.
Why would not knowing if there are an infinite number of palindromic primes necessarily mean we don't know if there are an infinite number of Belphegor primes? Belphegor primes are a subset of palidromic primes, and the number of candidates that could be Belphegor primes grows at log(n), whereas the number of candidate palindromes grows at sqrt(n).
I think he meant if we knew there were infinite BPs we would obviously have been given infinite PPs as a bonus. But as infinite PPs is still in the “unresolved” column, that’s a clue that no-one has cracked BPs of course.
I don't consider 31 unlucky. 31 lunar months minus every 13th lunar month is the exact amount of time between lunar leap years (a calendar following this scheme would take several millennia to drift a single day). And the day of each lunar month that corresponds to its number from 1 to 31 will always land on the same solar dates for each year (31 points to the same solar date as the 1 following it).
42 is not the meaning of life, it's the answer to the ultimate question. We don't know what the question is, if only Earth hadn't been destroyed to build a road :)
No, it isn't. It's just funny names someone has given to a class of primes he wanted to ask something of it (probably: are there infinitely many of them).
They really tried to make it more "evil" by saying the number "six, six, six" instead of "triple six" or "six hundred and sixty-six" to be less more "evil".
*_...I don't think Mammon M'Ammon was ever indicative of "greed," but of 'business'-the business of 'simplistic arrangements'-the business of family planning, the business of judicial settlement, the business of wargames... not big complicated, plans, but simple, plans, the simpler the more 'intellectual', like M'Ammon... Go make a class game of it..._*
Surely the 1[...]666[...]1 will be infinite because you can always put another zero on either side of the 666 without affecting the "primeness" (the arithmetic doesn't change, only the size of the number)? There is an infinite amount of zeros which can be added, just as you can always add 1 to the biggest number you can think of.
@@samarnadra I thought he meant those without the zeros? But the point stands. Even if the number of zeros does effect it, we can continue to add zeroes until another prime is found. Just because that next number may be beyond our current knowledge of primes doesn't mean it can't exist, as numbers go on for ever. When things are infinite (in physics) then it's generally considered that anything which is theoretically possible must be there in reality. I say this applies to arithmetic (which, when it boils down to it, adding numbers to a massive total and seeing if it divides by something other than itself and 1 is "just" a tricky form of arithmetic).
I wonder if all there is some kind of overall "Constraint Conjecture" for the primes such that given an additional set of constraints on the primes- e.g numbers with symmetric digits- it will spit out how N many primes satisfying it there are 1) 0: None 2) 1: exactly 1 will (even primes emit this since only one is 2) 3) Finite M 4) Infinity I mean, you've got everything from Mersenne primes to these 'political' ones, etc. It'd be interesting to know if there is, in principle, an algorithm that when given a definition for a subset of the primes will determine if that subset is finite or not.
Belphegor T-Shirts and Posters: www.bradyharanblog.com/blog/belphegors-prime-t-shirt
a small quiz to take the t-shirts for free?
Hey, I've got a question...
Do centrist primes where both sides are prime exist?
*Facepalm*
That's one hell of a number.
777 like wtf
It's prime, so be thankful it isn't 666!
Exactly.
The most demonic number is
GEOMETRY DASH
What kind of talk is that?!
Now I understand why Brady says that mathematicians love finding ways to be useless.
Yes
When did he say that?
I once heard rumors of one mathematican (don't recall his name) who was so proud of his theorem having no practical application at all, that when the US air force (or the NASA, don't remember exactly) eventually found an application for it he instantly retired from mathematics and went to exile.
Well, GH Hardy said that practical mathematics are ugly.
@@lonestarr1490 I think that's u..
for me the most evil number is my account balance :/
dang you have 1000000000000066600000000000001 dollars?
@@Marcsine you forgot the -
$ -1
??.
"The famous prime number hunter" I love these guys.
i laughed so hard!
The most evil number is -1/12
infinity dang
Ramanujan spanks himself...
Ramanujan approves this.
Looks like viewers will never forget and forgive this whole -1/12 misunderstanding )))
That's some eldritch lovecraftian stuff there!
Another fun number is the following base-36 prime: 10000000000halloween00000000001.
I was able to find only two more primes of this kind:
10000000000000halloween00000000000001
10000000000000000halloween00000000000000001
Are there more?
In the same spirit, a nice base-32 Numberphile prime: 1000000000000numberphile0000000000001.
Woahh
I appreciate the effort ^_^
Is that for real?
@@aleksapetrovic7088 Yes. If you convert the prime number 48873677980689263911084361359049059985440899073 to base-36, you'll get 10000000000halloween00000000001. :)
Truly delectable
"Makes you wonder who hell's ambassador to England is..'
"....nigel farrage, isn't it?....."
Mamon, close enough I guess :D
Thank you Brady, this video made me happy for some unknown reason.
You’re welcome.
best numbers for spooktober
much spoopy
Love your picture!
*goosebumps theme*
0:38 one simple "1" and one fancy "1" is the real reason this number is evil
IKR
I000000000000066600000000000001
false.
True. People with OCD, watch out ⚠️!
100000000000066600000000000001
Number of 1's = 2
Number of 000's(on one side) = 13
Number of 6's = 3
The number of digits of the same number are all prime! So spooky Brady!
Also, the sum of the numbers of digits is: 2+13+3 = 18; and the digit sum of 666 is, also: 6+6+6 = 18 😮👻.
Professor Padilla, your enthusiasm made this extra awesome. Fun bit of research!
I show this to my New Testament class every year when we study Revelation, and it is one of their favorite videos. Thank you for all your amazing content!
Make sure you catch part 2 (on our second channel)... It has even more cool stuff --- ua-cam.com/video/9CcI5M1LfRs/v-deo.html
Belphegor is the ambassador to France. That's it, that is all you need to know why this number is evil.
I love the difference in his tone when he says "right" to denote position and when he just says "right" as a scouce verbal tick.
Love all your videos numberphile!! You bring a contagious enthusiasm to learning about numbers that I didn’t know was possible :)
I had no idea something like this existed.
Only evil numbers are numbers that you shout out loud, miss out on lunch and dinner, takes hours to complete saying
Thanks for the Halloween costume idea! I'm going to dress up as the Belphegor's Prime! Numberphile always has the best costume ideas!
What I find even more amazing is that there are OEIS entries for each of these sequences.
How about a parker prime? Basically any number proven not to be a prime number
Well, there's the Grothendieck prime, 57, which Grothendieck once gave as an example of a prime number
Well there's 2^(2^5)+1
@@samarnadra Those are called Pseudoprimes
Carmichael numbers?
false.
So spooky 👻
Boo!
the sad thing is that there are quite a lot religious people who take that seriously and really believe that numbers can be evil. :-(
@@peterp-a-n4743 that's why you should always start meth with 786 ;)
@@numberphile Now I know, Numberphile replies to girls with a science degree only!
@@peterp-a-n4743 Believing in numerology is a sin in Christianity.
I love when Dr.Padilla shows up in a Numberphile video!
I wonder if a naughty prime has a safe word to use when its being spanked by a dominatrix.
Possibly "Re(s) = 1/2"
Donimatrix
Numberphile already covered "sexy primes " on another video
I thought it would be 0, the bringer of death to all numbers, and the foundation of calculus. Brrrrggghhb
Well, I guess, but they don't make numbers into what they are, unless you do a handful of equations
@Sergio Díaz Nila as well as division
All the noughts!
This is harassing the number zero.
false.
Most evil number
Number I scored in exam : *that's cute*
But bel-figure means beautiful number!
underrated post
31 is the number of times Satan is mentioned in the Bible.
"He's an amateur number theorist." Music to my ears.
I've heard people say math is evil, but I think they might be on to something now...
What baffles me, is, why the ”Belphegor’s Prime) is not just called straight-up: ”Lucifer’s Prime”/”Satan’s Prime” 🤯.
He said n*ughty! Really fun video with Tony.
I was so shocked they didn't beep that word D:
How did you comment 10hrs ago when the video is 55 mins old
@@busimagen listen to Hello Internet podcast if you want to know more. :)
@@yogitshankar6348 comment*
you forgot the question mark
@@yogitshankar6348 Patreon supporters get sneak peeks in advance.
Love the naming convention mathematicians have used
Tony Padilla is AWESOME
YES! Tony is the bees knees, please do more stuff with him!
Okay
no way! he said n*ughty!!
shhh, Tim.
+
They found a tablet saying 616 is the devil's number
And it's actually the numerological value of the name Nero. It has nothing to do with the devil.
They've talked about that in their video about 666 :)
Is it an iPad?
@@ExarchusDivision stone tablet
does it have flappy bird on it.
Some very deep stuff. N the presentation just wow
"1000000000000066600000000000001 is the number of the beast" - Iron Maiden - The Number of the Beast (pre-release) 1982
Don't forget the 1s on the end being like devil horns.
And 4, my favorite number, means "death" in Chinese and Japanese.
And my favorite number in terms of it being evil is 51904. You're going to have to try to hex it back to know why.
42 is not the meaning of life. 42 is the answer to the ultimate question of life, universe and everything.
upvoted for that farage joke
B O T C H E D B R E X I T
Unsubbed for the same
In this episode of Numberphile: numerology and base-10-ism.
Happy Halloween!
Cool video Brady!
I've been thinking about a maths problem... Say you have a Venn diagram with 2 groups to start with. How can you make all areas represent the size of the corresponding subgroup?
For example:
A ∩ B' has 1 element,
A ∩ B has 2 elements,
A' ∩ B has 3 elements.
In this example A and B contain 3 and 5 elements respectively, so B should be 5/3 as big VISUALLY. But how close to each other should the centres of A and B be such that the area of the intersection represents 2 elements?
I.e. what is the function relating the relative sizes and overlap to how close the centres should be?
(...and then 3 groups...)
It would be really cool if you could do a video on that!
Thanks!
The biggest trick the devil ever pulled was convincing the world he didn't exist. :D
I adore his calling the numbers "guys"
Also, the following is known: The sum of reciprocals of all natural numbers that don't contain the string 666 is finite. It follows (because the sum of harmonic series diverges): The sum of reciprocals of all natural numbers that do contain the string 666 is infinite. (Of course, there's nothing special about the string 666; the same is true for any finite string of digits, and any base. For example, the sum of 1/n over all numbers whose base-10 representation does not contain the the string 1234567890, or whose base-13 representation does not contain the string 42, is finite.)
That under the breath farage was hilarious
The spookiest bit of this video was when Tony said "Nigel Farage"
The second best trick the devil ever pulled was making people believe 666 is unlucky instead of 999.
Numerologyphile more like it.
While this is a Halloween video, a lot of interesting mathematics can fall out of just playing with numbers and looking at patterns.
Or just numberphile for short. It isnt called mathsfile after all.
From someone who loves studying ancient history and people’s past beliefs, to be fair - 666 wasn’t originally known to be the devil’s number. 6 in numerology is known to be a number that brings balance after the “destruction” of 5 as an odd number that topples the more “4”. Pretty fun to read mythological texts in this light because there’s a lot of numerology symbolism in there, and even today, some literary authors may still use that symbolism. It was Christianity in the Middle Ages that made it all “evil” and like that, when numerology, even if the idea of your birth date matching a number personality is false, is still useful for being able to see different themes of symbolism to understand the story of your life.
We all know the scariest number is
Fortnite stealing your favorite chereters from movies
That's not a number.
Spookiest part: The idea that the decimal representation is the Real True Form of an integer.
Nigel Farage? LOL!!!!!!
You have two ways to write a one: either a vertical stroke or a vertical stroke with top stroke and bottom serif. I only write it with the top stroke. I guess a vertical stroke with only a bottom serif (inverted T) would be the most evil way to write a one.
I actually knew about this number. But now I know even more about it. Thanks Numberphile.
4:09 I might have known someone would've entered this sequence into OEIS!
From a mathematical pov u sound like that mom against monster drinks but from a casual pov u definitely make sense
>found video
>13 hours ago
Nice
The reason the 1(n zeroes)616(n zeroes)1 isn't prime is because 1+6+1+6+1=15, which is divisible than 3. No matter how many zeroes, the sum of digits will always be 15.
Prime ministers try to find primes.
Looks like I’ve got my Halloween costume sorted.
2:36 he's steps away from confirming Half Life 3
And I thought the most evil numbers are 13 and 666
Dude looks like if Ivan Perisic became a mathematician instead of a footballer
Why would not knowing if there are an infinite number of palindromic primes necessarily mean we don't know if there are an infinite number of Belphegor primes? Belphegor primes are a subset of palidromic primes, and the number of candidates that could be Belphegor primes grows at log(n), whereas the number of candidate palindromes grows at sqrt(n).
I think he meant if we knew there were infinite BPs we would obviously have been given infinite PPs as a bonus. But as infinite PPs is still in the “unresolved” column, that’s a clue that no-one has cracked BPs of course.
I don't consider 31 unlucky. 31 lunar months minus every 13th lunar month is the exact amount of time between lunar leap years (a calendar following this scheme would take several millennia to drift a single day). And the day of each lunar month that corresponds to its number from 1 to 31 will always land on the same solar dates for each year (31 points to the same solar date as the 1 following it).
42 is not the meaning of life, it's the answer to the ultimate question. We don't know what the question is, if only Earth hadn't been destroyed to build a road :)
This is dangerously close to numerology and superstition...
No, it isn't. It's just funny names someone has given to a class of primes he wanted to ask something of it (probably: are there infinitely many of them).
And politics
It's rather decimal-centric, but not dangerous.
Scientists name a lot of scentific and mathematical ideas from mythological metaphors a lot though.
Dean and Sam are on their way to hunt this
They really tried to make it more "evil" by saying the number "six, six, six" instead of "triple six" or "six hundred and sixty-six" to be less more "evil".
"The Vatican wants to know your location..."
0:40 is anybody else pissed that he wrote the number 1 at the beginning as just a straight stick, but the last 1 had the hook?
Yes.
woah, we DON'T know there are an infinite number of palindromic primes?
*_...I don't think Mammon M'Ammon was ever indicative of "greed," but of 'business'-the business of 'simplistic arrangements'-the business of family planning, the business of judicial settlement, the business of wargames... not big complicated, plans, but simple, plans, the simpler the more 'intellectual', like M'Ammon... Go make a class game of it..._*
the most evil thing in this video is the fact that he added serifs to the last 1 in the number but not the first 1
"Naughty" Prime.... That pun is going to haunt me, lol.
I don't know why, but by only reading the title i assumed that the topic was about a prime number
Me too, odd isn't it?
7 is more evil than 6 It looks like half a guillotine blade
A tenuous relation, but not so much more than the numerology: The Call of Cthulhu was first published in 1928.
I Need That Scary Music Because I Just Want To Play That Music Next Halloween
brown paper has more math than my math teacher
They got the princes deadly sins wrong
1. Lucifer: Pride
2. Beelzebub (Belzebub): Envy (envious)
3. Satan (Sathanas): Wrath (wraþþe)
4. Abaddon (Abadon): Sloth (slowȝ)
5. Mammon: Greed (auarouse)
6. Belphegor: Gluttony (glotouns)
7. Asmodeus: Lust (leccherouse)
Seeing how he is depicted historically, his depiction in Persona 5 makes sense haha
The guy who does the demon designs for Shin Megami Tensei and Persona, Kazuma Kaneko, is extremely loyal to mythology.
so if both sides are prime would it be centrist prime or an independent prime.
Don’t forget 6664666366626661, which is another fascinating evil countdown prime.
Surely the 1[...]666[...]1 will be infinite because you can always put another zero on either side of the 666 without affecting the "primeness" (the arithmetic doesn't change, only the size of the number)? There is an infinite amount of zeros which can be added, just as you can always add 1 to the biggest number you can think of.
@@samarnadra I thought he meant those without the zeros? But the point stands. Even if the number of zeros does effect it, we can continue to add zeroes until another prime is found. Just because that next number may be beyond our current knowledge of primes doesn't mean it can't exist, as numbers go on for ever. When things are infinite (in physics) then it's generally considered that anything which is theoretically possible must be there in reality. I say this applies to arithmetic (which, when it boils down to it, adding numbers to a massive total and seeing if it divides by something other than itself and 1 is "just" a tricky form of arithmetic).
You know what would be even more evil? Base 13...
I searched for fish number 7 and this came up
I wonder if all there is some kind of overall "Constraint Conjecture" for the primes such that given an additional set of constraints on the primes- e.g numbers with symmetric digits- it will spit out how N many primes satisfying it there are
1) 0: None
2) 1: exactly 1 will (even primes emit this since only one is 2)
3) Finite M
4) Infinity
I mean, you've got everything from Mersenne primes to these 'political' ones, etc. It'd be interesting to know if there is, in principle, an algorithm that when given a definition for a subset of the primes will determine if that subset is finite or not.
Notice that Belphegor's Prime has 666 in the middle
What if a number is prime both on the left and right? It's a centrist prime? And what if it is neither?
A person with sense.
Correct, a centrist prime (A125525 on OEIS). No idea what it's called if it's neither, though.
Literally watched the Elementary Episode with this Number yesterday
I had to see if anything evil happened in 1928. It's the birth year of William Peter Blatty, author of The Exorcist, that's about it.
I've never been this mathematically spooked!
What about the most evil mathematical object/concept? the Jacobson radical seems kind of sinister to me...
In secondary school I got the nickname IFA which you could take as
0x1FA. In decimal it's 506, so my name is basically an evil number.
B(506) is a prime
Finally, it’s about a specific number again!
Scariest video I've seen for Halloween so far