In number theory, Chen's theorem states that every sufficiently large even number can be written as the sum of either two primes, or a prime and a semiprime...

including Chen's theorem and the Chen prime. Chen was the third son in a large family from Fuzhou, Fujian, China. His father was a postal worker. Chen Jingrun...

(Vinogradov's theorem) in 1937, and Harald Helfgott extended this to a full proof of Goldbach's weak conjecture in 2013. Chen's theorem, another weakening...

The Jurkat–Richert theorem is a mathematical theorem in sieve theory. It is a key ingredient in proofs of Chen's theorem on Goldbach's conjecture.: 272 ...

Chen prime if p + 2 is either a prime or a product of two primes (also called a semiprime). The even number 2p + 2 therefore satisfies Chen's theorem...

example, Vinogradov's theorem says that every sufficiently large odd integer can be written as a sum of three primes. Chen's theorem says that every sufficiently...

theory) Chen's theorem (number theory) Chowla–Mordell theorem (number theory) Cohn's irreducibility criterion (polynomials) Critical line theorem (number...

primes, or a prime and a semiprime (the product of two primes). See Chen's theorem for further information. In 1975, Hugh Lowell Montgomery and Bob Vaughan...

distinct ways (23 rows and 73 columns, or 73 rows and 23 columns). Chen's theorem Sphenic number, a product of three distinct primes Parity problem (sieve...

from the subsets. The Chen–Fox–Lyndon theorem states that the Lyndon words furnish a factorisation. The Schützenberger theorem relates the definition...

semiprime). The even number 2p + 2 therefore satisfies Chen's theorem. The Chen primes are named after Chen Jingrun, who proved in 1966 that there are infinitely...

In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle...

of at most K {\displaystyle K} primes. Chen's theorem, a strengthening of this result, shows that the theorem is true for K = 2, for all sufficiently...

The Fulkerson–Chen–Anstee theorem is a result in graph theory, a branch of combinatorics. It provides one of two known approaches solving the digraph...

prime numbers or a prime number and a semiprime, a concept now known as Chen's theorem. The 1978 Wolf Prize in Physics inaugural recipient and physicist Chien-Shiung...

for identifying and nurturing the renowned mathematician Chen Jingrun who proved Chen's theorem, the best known result on the Goldbach conjecture. In addition...

engineer of Mongolian origin Chen Jingrun (1933–1996), a widely known mathematician who invented the Chen's theorem and Chen prime Wang Wen-hsing (born...

In probability theory, the central limit theorem (CLT) states that, under appropriate conditions, the distribution of a normalized version of the sample...

particular to providing auxiliary upper bounds, and which contributed to Chen's theorem, among other important results. In 1948 Selberg submitted two papers...

In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a, b...

primes p such that p+2 is also prime, is the subject of active research. Chen's theorem shows that there are an infinity of primes p such that p+2 is either...

theorem, which shows that the sum of the reciprocals of the twin primes converges (whereas the sum of the reciprocals of all primes diverges); Chen's...

(2010-12-01). "An effective version of the Bombieri–Vinogradov theorem, and applications to Chen's theorem and to sums of primes and powers of two". Archiv der...

product of at most 9 primes. The last two results were superseded by Chen's theorem, and the second by Goldbach's weak conjecture ( C = 3 {\displaystyle...

Engineering at Columbia University Chen Jingrun (陳景潤; 1933–1996), mathematician, known for Chen prime and Chen's theorem Chen Jiun-Shyan, American engineering...

have been attempted by many mathematicians; among them, most notably, Chen's theorem states that there exist infinitely many prime numbers n {\displaystyle...

either two primes, or a prime and a semiprime, which is now called Chen's theorem. His work was important for research of Goldbach's conjecture. In 1949...

purely conformational change. Mathematics genius, Chen Jingrun invented the Chen's theorem and Chen prime, he also stunned famous mathematicians by providing...

give the first elementary proof of the prime number theorem. 1966 — Chen Jingrun proves Chen's theorem, a close approach to proving the Goldbach conjecture...

Linnik's theorem in analytic number theory answers a natural question after Dirichlet's theorem on arithmetic progressions. It asserts that there exist...