Actually, Helfgott was not the first person to challenge the Goldbach's conjecture. A long time ago, a former Soviet mathematician, Vinogradov, proved that "when an odd number is big enough, it can be written as the sum of three prime numbers".
This was known as the "Goldbach Vinogradov theorem" which was also known as the "three prime number theorem".
Another former Soviet mathematician, Barrett King, defined a "sufficiently large odd number" as a boundary.
However, his number was 4 million digits long. Even supercomputers could not verify it.
In Helfgott's 2013 research, he finally reduced the 4 million digits to 30 digits. Computers could at least handle this number.
While Lu Zhou was proving the twin prime conjecture, he used the three prime number theorem.
After returning to the hotel, he closed his door and began to carefully organize his notes.