Is there any practical application for any of this? We could, for example, predict that 12 would be a useful number in the imperial measurement system because s(n) is high.
Of the first 20 numbers, the one with the highest s(n)/n fraction is: 12! I would guess that 12 became a common number because it was highly divisible, so you could avoid fractions. Also, the most divisible number closest to the number of days in a year is: 360!
I don't know of any known connections with the RH, but I wouldn't rule it out! Partly because the ideas of abundant, deficient, and perfect are intimately tied in with the prime factorization of each integer, and the RH + zeta function has deep ties with the prime numbers and their distribution, too. It's common for the Riemann Hypothesis to be equivalent to other conjectures. -MH
I still think the most perfect number is 31. In Japanese it is "san dju ichi", which sounds a lot like "sandwich" in Portuguese, coincidence? I THINK NOT
I can't believe this video has been out for over a month, and has less than 8,000 views. I would say the view count is far from perfect, and rather deficient given the abundance of information it contains...
So hard to find nice content like this. I don't know who, but someone actually needs to hear this, you've got to stop saving all your money. Venture into investing some, if you really want financial stability
our number theory series will be moving to our new, math-only channel: axioms! you can stay up to date via our newsletter: news.axioms.com/join
It's fun to learn this knowing there is no exam down the line, removes all the pressure
Why didn't I have amazing teachers like you guys, when I was at school?!
I am a huge fan of socratica .
I love to watch your mathematics videos.
Please upload videos on linear algebra.
Perfect explanation !!! Thanks!!
I have no idea how all this is going to help me in my life, but -- damn! -- I can watch it all day long. Never thought math could be so captivating!
Thanks for showing so so much of your concern in our studies...
Consider making a series of video tutorials on Haskell, as clear and interesting as the one on Python, that you've done so brilliantly.
Socratica, I LOVE YOU !
Cuándo vas a subir videos en Socratica español?
thank you
Is there any practical application for any of this?
We could, for example, predict that 12 would be a useful number in the imperial measurement system because s(n) is high.
Of the first 20 numbers, the one with the highest s(n)/n fraction is: 12! I would guess that 12 became a common number because it was highly divisible, so you could avoid fractions.
Also, the most divisible number closest to the number of days in a year is: 360!
Mam make lecture series on real analysis please🙏🙏🙏🙏
Hola Socratica, deseando que vuelvas a tu gran canal: "Socratica Español"
Si ojalá
Thank you, this is new and was able to keep up (somewhat) 😊
Great video. And love the new intro
Does any of this tie into the Riemann Hypothesis?
I don't know of any known connections with the RH, but I wouldn't rule it out! Partly because the ideas of abundant, deficient, and perfect are intimately tied in with the prime factorization of each integer, and the RH + zeta function has deep ties with the prime numbers and their distribution, too. It's common for the Riemann Hypothesis to be equivalent to other conjectures. -MH
I never learned this concepts on this specific context.
Not Liliana, but still very well presented and interesting. Thanks!
There's only one Liliana...
@@Socratica I actually liked a guy presenter too, thanks!
Looking forward for mathematica tutorial
Math is everything, beautiful, I love it’s.
I'm confused. Won't the last divisor always be half the number? And you can't divide an odd number by two
This is awesome! 👍
I still think the most perfect number is 31.
In Japanese it is "san dju ichi", which sounds a lot like "sandwich" in Portuguese, coincidence? I THINK NOT
are you experiment 625 or something XD
@@MrRyanroberson1 Good one
maybe we need quantum computers to find out.
More number theory please.....
I am sure that there is infinite perfect numbers we just need to think like rammanujan "it's obvious, don't care too much about the proof"
Cadê os vídeos no outro canal do em Português? Desistiu dos brasileiros?
Wondering where you guys could go in a hundred-minute class.
How many perfect numbers are known to exist?
You n your team is not great but you all are greatest 💕💕
I can't believe this video has been out for over a month, and has less than 8,000 views. I would say the view count is far from perfect, and rather deficient given the abundance of information it contains...
We miss Liliana!
Right
I can't get pass beyond 1+1 but this video is...PRIME!!!
New voice who dis?
Why, that would be Socratica co-founder Michael Harrison!!
I've always been sad that primes are deficient!
Why you reduce the mathematics video now a days. When will old days come again.
So hard to find nice content like this. I don't know who, but someone actually needs to hear this, you've got to stop saving all your money. Venture into investing some, if you really want financial stability
Invest globally in bitcoin, gold, silver, forex market, commodities. Just don't be left out and save yourself
𝚃𝚑𝚊𝚗𝚔 𝚊 𝚕𝚘𝚝 𝕊𝕆ℂℝ𝔸𝕋𝕀ℂ𝔸 𝕋𝔼𝔸𝕄
Wow I’m early!
Looking forward for mathematica tutorial