Terence Tao in the context of "Fields Medal"

Overseas Chinese people or the Chinese diaspora are a diaspora people of Chinese origin who reside outside Greater China (mainland China, Hong Kong, Macau, and Taiwan). As of 2011, there were over 40.3 million overseas Chinese. As of 2023, there were 10.5 million people living outside mainland China who were born in mainland China, corresponding to 0.7 percent of China's population. Overall, China has a low percent of its population living overseas.

A twin prime is a prime number that is either 2 less or 2 more than another prime number—for example, either member of the twin prime pair (17, 19) or (41, 43). In other words, a twin prime is a prime that has a prime gap of two. Sometimes the term twin prime is used for a pair of twin primes; an alternative name for this is prime twin or prime pair.

Twin primes become increasingly rare as one examines larger ranges, in keeping with the general tendency of gaps between adjacent primes to become larger as the numbers themselves get larger. However, it is unknown whether there are infinitely many twin primes (the so-called twin prime conjecture) or if there is a largest pair. The breakthroughwork of Yitang Zhang in 2013, as well as work by James Maynard, Terence Tao and others, has made substantial progress towards proving that there are infinitely many twin primes, but at present this remains unsolved.