I hope you enjoyed the video! Also happy eclipsing! 🌞🌑

Its interesting how we subconciously see numbers as "more or less prime" despite not knowing mathematically why

Weird? They're not even odd!

12:52 the french pronouncing numbers

70 here, and I would like to verify this: I am in fact a bit weird.

Pausing halfway through the video to say this is the first time I've ever seen an explanation of perfect numbers that feels compelling at all. I never understood in what context their usual definition was supposed to matter at all, and this helps it make a lot more sense!

And here i thought 37 was random

yeah, i have no clue whats going on

I should be doing something but instead I'm watching some dude on the internet insult the number 70 in the most overly complicated way imaginable.

the weirdest number for me is 193 but thats only because every single time i bought lunch in college my number to pick up the food at the restaurant it rung up 193

And I thought 70 was weird because it was just 60 + 10.

6 Mathematicians: Beautiful. Elegant. Perfect. 7 Mathematicians: Disgusting. Horrid. Unusable.

These math vids are insane, as a nerd I ask you to continue making these.

Please continue making videos like this. Your views may be low but be sure your videos are very valuable and we know that.

as an autistic person with a special interest in math i especially like the idea of thinking of numbers as having personalities, so this is a great video for that!! 70 is a Weird Little Child and i love them for it :)

Very interesting video! Here are a few of my favorite interesting facts about sums of divisors: 1. Euler found a pretty amazing recursion for σ(n): σ(n)=σ(n-1)+σ(n-2)-σ(n-5)-σ(n-7)+σ(n-12)+σ(n-15)-σ(n-22)-σ(n-26)+..., where the signs are +,+,-,-,+,+,-,-, etc. the numbers 1,2,5,7,... are pentagonal numbers, and we count σ(0) as n if n is a pentagonal number. This comes from his pentagonal number theorem, and a very similar recursion is also valid for the partition function p(n) (the only difference being that p(0) is counted as 1, not n as in the case of σ). 2. The Riemann hypothesis is equivalent to σ(n)5040, where γ is the Euler-Mascheroni constant. 3. A number satisfying σ(n)=2n+1 is called "quasiperfect", but none are known to exist. It's known that if any do exist, they must be odd squares larger than 10^35.

I love this! I've watched a lot of math videos and read many pop math books in my day. Many of them talk about perfect numbers (to the point of nausea) and this felt like a fresh take on the subject.

Loved this! Got to learn about several new categories/sequences of numbers and your graphics convey so much meaning and understanding. Thanks for making my Monday, hope yours was great and I'm looking forward to the next video as always!

Really enjoyed this! The progression of concepts was paced nicely imo.

This is one of the most intuitively well explained math videos I’ve seen

By the end you had defined so many new terms that it was impossible to keep them all in my head. Really interesting video though

I've investigated the sum and count of factors and have made tunes based on them, adding them into oeis too. This is a neat and fair way to go about it! However I like excluding 1 from these sums and products because it's in everything.

Amazing video as always! Thanks for sharing this sequence of numbers

I LOVE THIS WAY OF LOOKING AT NUMBERS! It feels like innate truths are being revealed in a way that flimsy addition or subtraction could never manage. And getting to have personlaities, vibes, feelings and characterisations applied to numbers in a rigorous way is anazing

I might use this as a reference if I make a number 70 Algebralian OC...

This was a great video man well done

This is as beautiful as it is useful, thank you for making this.

0:35 quest for perfection instantly brought me old gd times back

Any number involving seven is an abomination

I’m tempted to make up a base-70 numeral system and make people suffer using it

i was just reseraching this topic as tangent of highly composite number huh

I love your channel!!

Me tracking 70 throughout the video trying to guess why 70 is weird before they say it

I mean for me its just simply Even:not prime Odd:idk cant bother to check

1: Foundation of numbers 2: The first and only even prime 3: The second prime and the perfect number 4: Is considered unlucky in Cantonese culture 5: Five fingers 6: A dice has 6 faces 7: Considered lucky in pop culture 8: Is the second cube 9: It's a square 10: A decade is 10 years 11: There are 11 players in a football team 12: There are 12 sides in a dodecahedron 13: It's considered unlucky in pop culture 14: It's the maximum age for puberty for teen [boys] 15: It is a result of summation from 1 to 5 16: It can be written as 2^2^2 17: This can be considered as an age for entering adults 18: It has an inverted factor [12 is 2×2×3 while 18 is 2×3×3] 19: It's the first non circular prime 20: There are 10 fingers and 10 toes, which, sums up to 20 21: It's a perfect number times the lucky number 22: There are at most 22 players in the football field 23: Is the maximum number in a digital clock as thr next hour will be 0 24: There are 24 hours 25: It is the last odd number that can divide 100 26: A rubix cube has 26 parts [not including the core] 27: A rubix cube has 27 parts [including the core] 28: It is the second perfect number and is a summation from 1 to 7 29: There are 29 days in a leap year in february 30: There are 5 months that have 30 days 31: There are 6 months that have 31 days 32: There are 32 white tiles and 32 black tiles in a chessboard 33: It is 100001 34: R34 [So sorry] 35: Is 50 in base 7 36: Is made from 2 different square 37: Is one of the least random number [credit to veritasium] 38: It is 212 in base 4 [which is palindromic] 39: If it's base 16, it's 27 40: From base 9 to base 2, it's 100100 41: It is the 3rd number that can be made into a rhombus by block 42: To Base 2 is 101010 43: Is the first NON chen prime 44: A semi-final consist of 4 teams, each having 11 players 45: it is a summation from 1 to 9 46: Is an Erdős-Woods Number 47: Is a love number 48: It is a highly factorizable number after 24 49: Is the first number that cannot be checked easily whether if it's a prime or not from 1-100, as it's not even, doesn't end up to a divisor of three by summing the digits, doesn't ends with a 5, and is not repeating. 50: Is the center from 0 to 100

Loved the video bro. subbed

ive been watching you for a year or so, so its about time i comment and sub lol

70 and I have a lot in common.

i wanna be a perfect number when i grow up

This explains why I've always liked 2, 5, and 7. I "hate" 3, and 11 is bigger than 10, so i have a more neutral opinion about it. I used to explain it as. 1² + 1 = 2 2² + 1 = 5 2 + 5 = 7 3² + 1 = 10 = 2 × 5 (i like base 10 more than bases divisible by 3) 7² + 1 = 50 = 2 × 5 × 5 = 5² + 5²

omg i swear you have all the same interests as me!! i love watching your videos so much, thanks for making them! :3

not as many views nor comments as I was expecting, hope yt boosts this more

As a Pokemon player, this is 70% accurate

I almost had a heart attack when I thought 836 before you said it

Awesome video :)

its an open question whether there are any odd weird numbers

i am happy to say that at the start of the vid i guessed the weirdest 3-digit number as 834

All I have to do is find a very large prime number and MULTIPLY.

i love math videos bc 80% of the time they make my head spin but 20% of the time i understand something or notice a pretty pattern and i'm like "woahh that's pretty cool" it's like gambling for my pattern seeking neurodivergent mind

Wow! That was a ride! Thanks for the video! I'd better go now and make sure my aliquot is abundant, or, at least semiperfect, before I continue! 👍

does this mean if a test is worth 1000 points, I have to score a 836 or above to pass?

your little avatar's squiggly arms are so silly, i love it :D

I found a video next to it that had a stopwatch on 8h 36m

If you like the Egyptians having five spare days to finish off the year, then I think you'll like that a similar tradition exists in Mesoamerican year counting, in which there was an extra week of days which had no deity or spirit watching over, so which led to that week being thought of as a sort of 'chaos week.'

Beautiful video. I shall never see 70 the same way

Always wanted to praise some numbers

8:11 Here, I immediately wondered what the primitive abundant numbers with the highest abundance are (or if it increases) and if there are an infinite number of them (also: glider in top left at 14:06)

6:36 Veritasium made a vid abt this excact concept. Very interesting vid.

i have no idea what happened but i loved it

1:40 34/2=17 Also 61 is less prime than 67 and 63 is the oddest number under 100, and 65 is the most even odd number under 100

In my opinion, the weirdest numbers are ones with a 3, 6,7, or 9. Those numbers just look so damn bad that everytime I make something with having to write numbers in it, I somehow find a way to make every number look "perfect"

70 - divisible by 7 836 - its a weird multiple of 4 4030 - between 4000 and 4096 and divisible by 10 5830 - once again ends in 30, near 5776 = 76² 7192 - 1000 off of 8192 For me 544 looks like a number that's probably only divisible by 4, but it's actually divisible by 32. Personally im the #1 hater of primes of the form 4k+3 (and numbers divisible by them) since they can't be written as the sum of squares.

Great video as always, not much of a number theory person myself, but I still had a lot of fun

Base 70 is a perfect system with no flaws whatsoever.

Ah, number theory, a subset of mathematics I'm not too excessively interested in

Reminda me of the song "The Smallest Weird Number" which is... well... 70

70 is weird because I usually fail to divide it by 2 when doing quick math.

I don't like how much of this I know from random wikipedia rabbit holes

What if there was a sequel called “71 is odd”?

11:46 720720 popped up somewhere else I forget where. I was studying certain divisibility series.

this is my favorite math video in a long time!!!!! i love number theory and i've learned a lot of interesting recreational facts, but this was delightfully new to me and even more delightfully presented by you. thank you so much, this was lovely to watch and learn about. you are amazing! i subscribed and can't wait for more of your content

OMG THE PIN ON UR SHIRT IS SO CUTE

the way mathematicians talk about numbers is so cute

14:25 Legendre is definetly true. As the distence beteen 2 neighboring perfect squares gets increaingly big. Granted its only by 2 more each pair, but it does add up over time. Twin is probably true, given how primes can only exist agencent to multiples of 6. And all 4 possibilites (both are prime, +1 is prime, -1 is prime, and neither are prime) would probably happen infinietly with infiniet numbers, there should be infinite twin primes. Im not sure about Goldbach's though. As we would need to check every even number to see if any even numbers bigger than 2 arent the possible sum of 2 primes.

I'm 70, I'm weird.

Cool video!

The thumbnail is so out of context for people who don't know about that kind of mathematics

i like your funny words, magic man

Which number has more factors? 96 or 100?

At 6:00, why are there so many numbers whose aliquot sum is equal or almost equal to n/2?

What does the prime factors being "in order". Can't you just arrange them in ascending order? I thought maybe it had to do with increasing powers... But your example

03:46 I don't understand this table, it doesn't look consistent. For example, haven't 6 and 10 each got 3 divisors?

100000001 can be divided by 17

this video gives me the same feelings the jan misali math videos do

Oh my Euler, I guess I found some good channel.

I'm so confused

This is so simple, I understood it all at once! Those who spend years studying this by getting PhDs and stuff must be slow or something. [/Irony]

why does it say primes are higher than composites? they're at the bottom of the graph.

i did learn something, thankyou kuvina!

i ended up with +x=-x=-√x+2=+√x-2

Me before watching this video thinking I was good with numbers: 😎 Me giving up after seeing there are still another 5 minutes of explanation for why 70 is weird:😐

Old money was far better than decimal. 12 pence in a shilling and 20 shillings in a pound made 240, ha'pennies gave us 480 and farthings gave us 960: all practical numbers. 240 is also highly composite.

I think 19 is weird cuz 1.its my birthday 2.It has a very VERY interesting name in french DEEZ NU-

This video is great, I wish I could say something worthwhile in this comment section

70 is also 1 after 69, which is weirdly nice.

i dont know and care about what your talking about but i think you're right..

Man, some people have too much time on their hands to think of this stuff. It's interesting for sure, but like, I don't even have the free time to do my laundry regularly, and there are people out here organizing numbers into superficial categories.

Oh shit here we go again

3:30 Also known as anti-primes

The Smallest Weird Number - Geogaddi - Boards of Canada. This song is literally ends on 70 seconds.