Prime Spirals - Numberphile
Prime numbers, Ulam Spirals and other cool numbery stuff with Dr James Grime. More links & stuff in full description below ↓↓↓ James Clewett on spirals at: http://youtu.be/3K-12i0jclM...
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JAMES GRIME: One of the reasons we're fascinated by primes is that they are quite weird in the way they behave. On one hand, they kind of feel random. They are turning up all over the place. Sometimes you have these long gaps between primes. And then suddenly-- like buses, you get a couple of primes turn up at once. On the other hand, there are things that we can predict about primes and when they're going to turn up, which is slightly unexpected that you can do that. They're not completely random. One of the first things I want to show you, then, is a nice easy thing. So everyone can do this at home. We're going to write the numbers in a square spiral. Start with 1 in the middle. Then you write 2. But you go around it-- 4, 5, 6, 7...
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JAMES GRIME: One of the reasons we're fascinated by primes is that they are quite weird in the way they behave. On one hand, they kind of feel random. They are turning up all over the place. Sometimes you have these long gaps between primes. And then suddenly-- like buses, you get a couple of primes turn up at once. On the other hand, there are things that we can predict about primes and when they're going to turn up, which is slightly unexpected that you can do that. They're not completely random. One of the first things I want to show you, then, is a nice easy thing. So everyone can do this at home. We're going to write the numbers in a square spiral. Start with 1 in the middle. Then you write 2. But you go around it-- 4, 5, 6, 7...
