The Uncracked Problem with 33 - Numberphile
33 is the lowest unsolved problem in the world of "summing three cubes". But 30 was also a tough nut to crack! More links & stuff in full description below ↓↓↓ Featuring Tim Browning...
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Well, I wanted to show you an interesting sequence of numbers. [Go on] So here we go I'm going to start here Well, you might notice that I'm missing out a couple here and there ...29...30...33...34... and so on Most of them are here but if you look carefully you'll see that here we are missing four and five... and down here we should be missing thirteen and fourteen; 23 and 22; 31 and 32. Well, there's a supposition, or a conjecture, that all of these numbers can be written as a sum of three cubes of integers. Most probably best done by example If I take this number here for example, 29, it means that I can write this as a sum of three cubes of integers And in this case it can be written as three cubed plus one cubed, so three cubed is 27, pl...
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Well, I wanted to show you an interesting sequence of numbers. [Go on] So here we go I'm going to start here Well, you might notice that I'm missing out a couple here and there ...29...30...33...34... and so on Most of them are here but if you look carefully you'll see that here we are missing four and five... and down here we should be missing thirteen and fourteen; 23 and 22; 31 and 32. Well, there's a supposition, or a conjecture, that all of these numbers can be written as a sum of three cubes of integers. Most probably best done by example If I take this number here for example, 29, it means that I can write this as a sum of three cubes of integers And in this case it can be written as three cubed plus one cubed, so three cubed is 27, pl...
