How to pronounce “littlewood” in English

Now Hardy and Littlewood refine this argument further to account for the fact that primes aren't really independent.

- Hardy and Littlewood, they refined this a bit more, but essentially what they find, you know, is the exact same thing.

Hardy and Littlewood later developed this idea further, and for the next a hundred years, this would be the main method to tackle the weak Goldbach conjecture.

But now Hardy and Littlewood multiply the angle by alpha, where alpha is just some number between 0 and 1.

So Hardy and Littlewood came up with a smarter way.

Hardy and Littlewood realized they could use this.

Hardy shows a letter to Littlewood.

Because that is exactly what Hardy and Littlewood did.

He did this project with Joan Littlewood, who was a radical theater director and a protege of the German playwright, Bertolt Brecht.

So here's a crude version of what Hardy and Littlewood did.

So, Hardy and Littlewood imagined a counting machine of sorts.

In 1923, English mathematicians, Hardy and Littlewood figured out how you can estimate how many twin primes there should be.

But in 1923, two English mathematicians, G. H. Hardy and John Littlewood, tried to come up with a function that would estimate H of N.

- Then we've got to wait until 1937 when Russian mathematician, Ivan Vinogradov, proves the same as Hardy and Littlewood.