It seems that Mochizuki's alleged proof still contains some hand-wavey parts. If you don't accept its validity, you just "haven't understood it properly", which they can always repeat, no matter what their opponents say.
I was reminded of this. Trinomial Coefficients (3^n)(37^n). (a+b+c)^n. 12321. Central Trinomial Coefficient. What ratio of a to b to c satisfies (a+b+c)^n such that the central trinomial coefficient remains constant? Example: Binomial Expansion b=1/a such that (a+b)^n=(a+(1/a))^n. Probability and permutations.
As someone who plays Four 4s on a regular basis, 210 is very familiar to me, since it's easy to get with one 4 (σ(4)#, aka sigma 4, and then the primorial of that).
Okay, normally each step on a plot adds some set number like 1, 2, 3, 4 is +1 +1 +1 In a log-log plot each step is the previous one multiplied by some factor, in the case 1, 10, 100, 1000 it's x10 x10 x10 But what Matt did in the loglog-loglog plot (and each step IS equidistant, I measured the pixels), which was 1, 10^10, 10^100, 10^1000, he RAISES the previous one by some POWER, in this case it's ^10 ^10 ^10. BUT NOT QUITE!!! The first step should have been 10^1, not 10^0, THIS is a Parker loglog-loglog plot.
I found your strategy: Make as many videos, using different easter-eggs in order to gain more viewers and subscribers. You used Steve Mould, CGP Grey, Numberphile and 3blue 1 brown. The 1 milion subscribers reward is comming soon.
Is there anywhere we can see the list of triples generated by the website? It would be fun to have a quality leaderboard to see who found the best triple.
Matt, I have a question about Grant’s software. Are the colours customisable? I mean, is it possible to plot dark numbers on a light background or is it hard-coded to be white on black only?
Can you get the radical of some number n by calculating the greatest common divisor (with euclids algorithm or something) of n and the product of all primes at least up to and including √n
Can I be 12 again and have you as a maths teacher? I might have actually enjoyed Maths then and wouldn't have to work so hard to understand the subject now. I didn't want to then, I do now.
Not to get political, but I found it amusing that Matt refers to Grant as a "they" while the dubbed speech by Grant uses a "his". I wouldn't bother commenting except that it's pretty odd in the context of "Matt" "randomly" switching pronouns for someone!
Matt ... I am sure you have something to say about the International ASCII standards changing the look of the Plus/Minus symbol to look like "∓" rather than the other way around like I learned in high school. It took me a few seconds to realize this standard had changed "over night". I can imagine millions of math students having very strange looks with their math teachers that they can't find the symbol on their computers.
In general it Will be larger then C. But we have an infinite amount of exceptions. Good to know, it made it every obvious what in general mean. In general, Matt Parker is right, but there is an infinite amount if exceptions... so how often is Matt Parker right?
So 9 years ago a paper was published that claimed to be a proof for this conjecture. Today it seems the jury is still out as to whether the proof is valid or not. The problem is that the proof was like 500 pages long and involved coming up with an entirely new mathematically theory and so it's really hard to understand. Some mathematicians say there's a flaw in the proof, just one (but one which can't be easily fixed), and some other mathematicians say that they are misunderstanding the proof. I have no clue which side is right but i find this very weird. It's objectively either a proof or not. There's no guesswork here. And yet, there's uncertainty
Is there any way to find the database with the ABC Conjecture Triples stored, because I've run the program for a few hours at a time but there's no way for me to check on my previous findings.
I dunno. I have seen a bunch of videos explaining the abc conjecture but I just cant get over the feeling that the conjecture seems...forced? Random? Not sure how to call it. Other famous conjectures might be very technical and complex but I feel that all I am aware of at least feel a bit "natural"? The abc conjecture feels like somebody came up with a bunch of different definitions which are arbitrary (radical, quality) and just made up a conjecture by making convoluted combinations. Also the fact that there are infinitely many exceptions just adds to the feeling that this conjecture is just an oddity.
If you want to make primes with LEGO bricks, you don't glue bricks together. You use technic bricks which come with versions with 2, 3, 5, 7, 11 and 13 holes.
@@jessehammer123 I know it's not, and that is indeed a good example of why! It's just funny to put those words together in that order and have it mean something real, and maths is kind of the only domain where that happens.
Where did you get your shirt? "Geek" in binary feels exactly like the sort of shirt I'd wear but I've never seen one before that doesn't also have horrible logos or some insulting comment at the bottom claiming the wearer is smarter than the reader.
I spent the whole episode waiting for a 3B1B cameo and the minute I look away I hear Grant's voice. Then I look back and it's coming out of Matt's mouth 😅
To be honest even after watching this whole video I still don't understand the ABC conjecture. And I first heard about this conjecture like 10 years ago.
