How to pronounce “goldbach” in English

- Christian Goldbach is a little known Prussian mathematician who grew up in the early 1700s.

And the Goldbach's conjecture is the pearl on the crown."

Do you know a Goldbach?

- I know nothing about Goldbach.

literally until Goldbach died.

for the strong Goldbach conjecture.

adhere to Goldbach conjecture?

This became known as the weak Goldbach conjecture.

then we've proven the weak Goldbach conjecture.

- He was reading papers about the weak Goldbach conjecture, and new techniques that were being developed.

So, Euler reformulated Goldbach's idea into two separate conjectures.

He wrote up his results in a paper called "The Ternary Goldbach Conjecture is True," which is quite the mike-drop title.

But that's not the case for the strong Goldbach conjecture.

So, nearly 300 years after Goldbach's original letter, Helfgott proved that every odd number greater than five can be written as the sum of three primes.

He's working on his math, trying to solve Goldbach's conjecture.

Then, in 1729, Goldbach moved to Moscow, but the two stayed in touch, writing letters to each other for the next 35 years,

Number eight on that list was all about prime numbers, including Goldbach's conjecture.

- You know, given your success with the weak form of the Goldbach conjecture, how do you feel about the strong form?

- See, the reason the circle method works for the weak Goldbach conjecture is because this main term grows faster than this error term.

where he spent the next 10 years working on problems in number theory, including Goldbach's conjecture.

And, of course, the conjecture is that it does always happen, and that's known as the gold Goldbach's conjecture.

- And then it's like, well, who the hell is Goldbach?

It was in one of these letters, on the 7th of June, 1742, where Goldbach scribbled a line in the margin.

In fact, as Euler wrote in his letter, this is how Goldbach originally framed the problem in person.

This became known as the strong Goldbach conjecture.

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.

So eventually, for some large enough number, call it K, this value will always be larger than 1, and the weak Goldbach conjecture holds.

- But again, he gives some large enough number for which the weak Goldbach conjecture will hold

And while Chen got incredibly close, he was never able to fulfill his ultimate dream, to solve the strong Goldbach conjecture.