Awesome Prime Number Constant - Numberphile
Have you ever heard of Mills' Constant? Video supported by (& free book): http://www.audible.com/numberphile More links & stuff in full description below ↓↓↓ Several people have pointed...
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JAMES GRIME: So I've got another prime number generating formula for you. So this one is more modern. It was 1947, a mathematician called Mills, and he found this formula. He said there exist numbers-- which we're going to call theta, the Greek letter theta-- where you raise it to the power 3 to the power n. And you actually then have to round it down. That gives you fractions, so you actually round it down to the nearest whole number, which you write like this. That's the symbol for rounding it down. There exists a number like this that will always give you primes for every value of n. So you might have n equals 1, n equals 2, n equals 3, and every value is a prime. The smallest value for theta where this will work is called Mills...
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JAMES GRIME: So I've got another prime number generating formula for you. So this one is more modern. It was 1947, a mathematician called Mills, and he found this formula. He said there exist numbers-- which we're going to call theta, the Greek letter theta-- where you raise it to the power 3 to the power n. And you actually then have to round it down. That gives you fractions, so you actually round it down to the nearest whole number, which you write like this. That's the symbol for rounding it down. There exists a number like this that will always give you primes for every value of n. So you might have n equals 1, n equals 2, n equals 3, and every value is a prime. The smallest value for theta where this will work is called Mills...
