The Problem with 7825 - Numberphile
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Date: 2022-04-09
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Comments and reviews: 9
Madison
Sounds like the reason is. 2 colors works until you get to the first number that is the solution to 2 pythagorean triples. 3 colors would probably work until you get to a number that is the solution to 3 pythagorean triples. 4 colors would probably work until you get to a number that is the solution to 4 pythagorean triples. How to prove that. well it would take a LOT of computing power.
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Sounds like the reason is. 2 colors works until you get to the first number that is the solution to 2 pythagorean triples. 3 colors would probably work until you get to a number that is the solution to 3 pythagorean triples. 4 colors would probably work until you get to a number that is the solution to 4 pythagorean triples. How to prove that. well it would take a LOT of computing power.
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Gustav
what if you take in negative numbers? why is this true (not being able to define red of blue) for the number 7258? because you take a system where you start with something you call 0, so you are alrdy using only a binary scale rather than let's say triforce logic to count. lol
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what if you take in negative numbers? why is this true (not being able to define red of blue) for the number 7258? because you take a system where you start with something you call 0, so you are alrdy using only a binary scale rather than let's say triforce logic to count. lol
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88mphDrBrown
Your videos are like a gradient of -ignotum per ignotius-, to be clear your a phenomenal teacher, the material just seems to get exponentially more bizarre until being borderline incomprehensible. I'm pretty sure this says more about my learning than your teaching.
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Your videos are like a gradient of -ignotum per ignotius-, to be clear your a phenomenal teacher, the material just seems to get exponentially more bizarre until being borderline incomprehensible. I'm pretty sure this says more about my learning than your teaching.
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PJ
I found a solution for -primitive- triples:
odd = red, even = blue
odd-2 + even-2 = odd-2 always.
This solution only fails for:
even-2 + even-2 = even-2
But those triples are non-primitive triples like 6-8-10, which can be reduced to 3-4-5.
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I found a solution for -primitive- triples:
odd = red, even = blue
odd-2 + even-2 = odd-2 always.
This solution only fails for:
even-2 + even-2 = even-2
But those triples are non-primitive triples like 6-8-10, which can be reduced to 3-4-5.
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Freddi
So, what those guys did proof is, that mathematicians create problems that noone else ever had, just to proof that there could be a problem. But they need to proof, that a solution is not possible, just to proof, the problem is a problem. Proof me wrong!
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So, what those guys did proof is, that mathematicians create problems that noone else ever had, just to proof that there could be a problem. But they need to proof, that a solution is not possible, just to proof, the problem is a problem. Proof me wrong!
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Blau
Realistically, there aren't 512 combinations, but half of that, 256, as there's always an inverse counterpart for a permutation here. Right?
Haven't watched the full, several years old video yet, so sorry if it's mentioned in the video.
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Realistically, there aren't 512 combinations, but half of that, 256, as there's always an inverse counterpart for a permutation here. Right?
Haven't watched the full, several years old video yet, so sorry if it's mentioned in the video.
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Fractal
9: 25 -doesn't tell us why-. didn't he explain why? 6: 46 isn't the reason it doesn't work is because it's in two Pythagorean triples? if they know this is the reason it doesn't work, then why do they need to use brute force to prove it?
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9: 25 -doesn't tell us why-. didn't he explain why? 6: 46 isn't the reason it doesn't work is because it's in two Pythagorean triples? if they know this is the reason it doesn't work, then why do they need to use brute force to prove it?
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David
Wait, he said this would always fail no matter how many different colors you use. what if I use 7825 different colors? Then it's not possible for any of them to be the same color. Did he misspeak, or did I misunderstand?
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Wait, he said this would always fail no matter how many different colors you use. what if I use 7825 different colors? Then it's not possible for any of them to be the same color. Did he misspeak, or did I misunderstand?
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CARLIA
This is about which topic, he just starts with -a new proof has just emerged, which may be the largest proof. - And just starts with the problem. Of which topic? What is the problem? Where did this come from?
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This is about which topic, he just starts with -a new proof has just emerged, which may be the largest proof. - And just starts with the problem. Of which topic? What is the problem? Where did this come from?
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