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...

a new method, based on Legendre's version of the sieve of Eratosthenes, now known as the Brun sieve, which addresses additive problems such as Goldbach's...

Modern sieves include the Brun sieve, the Selberg sieve, the Turán sieve, the large sieve, the larger sieve and the Goldston-Pintz-Yıldırım sieve. One of...

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...

such as the Brun sieve and Selberg sieve. However, since these more powerful sieves are extensions of the basic ideas of the Legendre sieve, it is useful...

was the first use of the Brun sieve and helped initiate the development of modern sieve theory. The modern version of Brun's argument can be used to show...

(q)\log(x/q)}} for all q < x. The result was proven by sieve methods by Montgomery and Vaughan; an earlier result of Brun and Titchmarsh obtained a weaker version of...

theorem Brun sieve Function field sieve General number field sieve Large sieve Larger sieve Quadratic sieve Selberg sieve Sieve of Atkin Sieve of Eratosthenes...

theorem. The proof of the Miech's theorem uses Brun sieve. If there is a hypothetical probabilistic density sieve, using the Miech's theorem can prove the Schinzel's...

feature of sieve literature is that while there is frequent use of Brun's method there are only a few attempts to formulate a general Brun theorem (such...

This is the case for small sieves (in particular, some combinatorial sieves such as the Brun sieve) rather than for large sieves; the study of the latter...

\varepsilon } under a certain Elliott-Halberstam type hypothesis. The Brun sieve establishes an upper bound on the density of primes having the form p...

Schnirelmann sought to prove Goldbach's conjecture. In 1930, using the Brun sieve, he proved that any natural number greater than 1 can be written as the...

{\displaystyle n(n+4)(n+6)} for some integer n {\displaystyle n} by using Brun sieve and other advanced methods. He took an appointment at the University of...

In number theory, the Selberg sieve is a technique for estimating the size of "sifted sets" of positive integers which satisfy a set of conditions which...

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

can be shown that, no matter what the choice of weights in a Brun- or Selberg-type sieve, the upper bound obtained will be at least (2 + o(1)) x / ln...

powers. In 1930 Schnirelmann used these ideas in conjunction with the Brun sieve to prove Schnirelmann's theorem, that any natural number greater than...

difficulty was addressed by Viggo Brun. After a slow start, his ideas were taken up by others, and a large variety of sieve methods developed. These for example...

construct a perfect number from a Mersenne prime. Another Greek invention, the Sieve of Eratosthenes, is still used to construct lists of primes. Around 1000...

32803. PMID 10551841. Schuit F, De Vos A, Farfari S, Moens K, Pipeleers D, Brun T, et al. (July 1997). "Metabolic fate of glucose in purified islet cells...

bʰerH- "brown" (See also *bʰébʰrus) bear (animal) (< OE bera); brown (< OE brūn) ON bjǫrn "bear (animal)"; phrū́nē "toad" babhrú "deep brown, reddish brown;...

"Porous Media. Fluid Transport and Pore Structure", Academic Press, 1992. Brun, M.; Lallemand, A.; Quinson, J-F.; Eyraud, C. (1977). "A new method for the...

Brinkmann Rainer Brinkmann Hans Brodmerkel James Broh Erich Brost Manfred Bruns Werner Bruschke Christine Buchholz Daniel Buchholz Albert Buchmann Wilhelm...

Jørgen Hermandsen Bjørn 1704—1716 Johan Sigismund Hassius 1716—1720 Christen Brun-Lundegaard 1720—1726 Christian Ulrich von Nissen 1726—1730 Rasmus Hansen...

disseminated the theory of the autochthony of the Albanians Schwandner-Sievers, Stephanie; Fischer, Bernd Jürgen (2002). Albanian Identities: Myth and...

quadratic sieve method of integer factorization. In 1974, Shanks and John Wrench did some of the first computer work on estimating the value of Brun's constant...

machīnare (Dalm maknur "to grind", Rom măşina, It maşinare) brun "brown" *brūn MDu brun and Du bruin "brown" choquer "to shock" *skukjan Du schokken...

Harvey PD, Girgis RR, Hazlett EA, Mailman RB, Abi-Dargham A, Lieberman JA, Siever LJ (January 2015). "Effects of the D1 dopamine receptor agonist dihydrexidine...

Planet Rooms at Louis XIV's Palace of Versailles, designed by Charles Le Brun. The collection was first opened to the public in the late 18th century,...