finite value known as Brun's constant, usually denoted by B2 (sequence A065421 in the OEIS). Brun's theorem was proved by Viggo Brun in 1919, and it has...

Brun showed that the sum of reciprocals of the twin primes was convergent. This famous result, called Brun's theorem, was the first use of the Brun sieve...

In the field of number theory, the Brun sieve (also called Brun's pure sieve) is a technique for estimating the size of "sifted sets" of positive integers...

Viggo Brun, Mitt. Math. Ges. Hamburg 11 (1985) 271-290 Brun's Constant Brun's Pure Sieve Viggo Brun personal archive exists at NTN University Library Dorabiblioteket...

often than squares of natural numbers, although both sets are infinite. Brun's theorem states that the sum of the reciprocals of twin primes, ( 1 3 + 1 5 )...

theory) Brun's theorem (number theory) Brun–Titchmarsh theorem (number theory) Carmichael's theorem (Fibonacci numbers) Chebotarev's density theorem (number...

In analytic number theory, the Brun–Titchmarsh theorem, named after Viggo Brun and Edward Charles Titchmarsh, is an upper bound on the distribution of...

term sieve was first used by the Norwegian mathematician Viggo Brun in 1915. However Brun's work was inspired by the works of the French mathematician Jean...

irreducible and is non-integer. Euclid's theorem that there are infinitely many primes Small set (combinatorics) Brun's theorem, on the convergent sum of reciprocals...

while there is frequent use of Brun's method there are only a few attempts to formulate a general Brun theorem (such as Theorem 2.1); as a result there are...

begins publication of History of the Theory of Numbers. Viggo Brun proves Brun's theorem B2 for twin primes. G. H. Hardy rediscovers Pisot–Vijayaraghavan...

restricted examples. Chapter fourteen includes a proof of Brun's theorem and a similar proof of a theorem by Henri Poincaré on "the non-existence of a certain...

1090/S0002-9947-1912-1500911-9. —— (1913). "On Poincaré's correction to Bruns' theorem". Bulletin of the American Mathematical Society. 19 (7): 349–355. doi:10...

In number theory, Dirichlet's theorem, also called the Dirichlet prime number theorem, states that for any two positive coprime integers a and d, there...

Google posted three bids based on mathematical numbers: $1,902,160,540 (Brun's constant), $2,614,972,128 (Meissel–Mertens constant), and $3.14159 billion...

English mathematician Titchmarsh theorem (disambiguation) Titchmarsh convolution theorem Brun–Titchmarsh theorem Valentine Titchmarsh (1853–1907), English...

Bell numbers Landau's function Pentagonal number theorem Bell series Lambert series Twin prime Brun's constant Cousin prime Prime triplet Prime quadruplet...

Proposition 8.2. (b) Bruns & Herzog, Theorem A.22. Eisenbud (1995), Corollary 18.17. Eisenbud (1995), Exercise 18.17. Matsumura (1989), Theorem 17.5. Matsumura...

The Lambek–Moser theorem is a mathematical description of partitions of the natural numbers into two complementary sets. For instance, it applies to the...

Cohen–Seidenberg theorems, which were proved by Irvin S. Cohen and Abraham Seidenberg. These are known as the going-up and going-down theorems. Let A ⊆ B be...

Schnirelmann used these ideas in conjunction with the Brun sieve to prove Schnirelmann's theorem, that any natural number greater than 1 can be written...

The set of prime numbers is large. The set of twin primes is small (see Brun's constant). The set of prime powers which are not prime (i.e., all numbers...

be finitely many or infinitely many, is known to be finite and is called Brun's constant, approximately 1.9022 . The reciprocal of five conventionally appears...

and additive number theory includes the topics such as Dirichlet's theorem, Brun's sieve, binary quadratic forms, Goldbach's conjecture, Waring's problem...

number theory. 1919 — Viggo Brun defines Brun's constant B2 for twin primes. 1937 — I. M. Vinogradov proves Vinogradov's theorem that every sufficiently large...

In commutative algebra, Grothendieck local duality is a duality theorem for cohomology of modules over local rings, analogous to Serre duality of coherent...

result is a distributive lattice and is used in Birkhoff's representation theorem. However, it may have many more elements than are needed to form a completion...

conjecture is later generalized by Hans Petersson. 1919 – Viggo Brun defines Brun's constant B2 for twin primes. 1921 – Emmy Noether introduces the first...

to advances in differential geometry and topology. They also proved the theorem of the three geodesics, that a Riemannian manifold topologically equivalent...

Hypersurface Decision boundary Ham sandwich theorem Arrangement of hyperplanes Supporting hyperplane theorem "Excerpt from Convex Analysis, by R.T. Rockafellar"...