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Sieve theory
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71	SMOOTH NUMBERS AND THE QUADRATIC SIEVE Carl Pomerance When faced with a large number n to factor, what do you do first? You might say “Look Add to Reading List Source URL: www.math.leidenuniv.nl Language: English - Date: 2004-11-24 09:42:47 Quadratic sieve General number field sieve Quadratic residue Special number field sieve Lenstra elliptic curve factorization Euclidean algorithm Prime number Sieve of Eratosthenes Smooth number Integer factorization algorithms Mathematics Number theory
72	THE BOMBIERI-VINOGRADOV THEOREM R. C. Vaughan Add to Reading List Source URL: www.personal.psu.edu Language: English - Date: 2014-02-03 22:36:57 Bombieri–Vinogradov theorem Sieve theory Quadratic residue Generalized Riemann hypothesis Dirichlet character Spectral theory of ordinary differential equations Symbol Mathematics Abstract algebra Number theory
73	are so laborious and diﬃcult that even for numbers that do not exceed the limits of tables constructed by estimable men, they try the patience of even the practiced calculator. And these methods do not apply at Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2006-08-14 10:52:24 Integer factorization algorithms Primality tests Analytic number theory Finite fields Integer sequences Quadratic sieve Prime number Lenstra elliptic curve factorization Riemann hypothesis Mathematics Number theory Abstract algebra
74	PrimeGrid’s The Riesel Problem On 5 October 2013, 19:06:07 UTC, PrimeGrid’s The Riesel Problem project eliminated Add to Reading List Source URL: www.primegrid.com Language: English - Date: 2013-10-10 03:26:00 Numbers Riesel Sieve PrimeGrid Riesel number LLR Megaprime Primality test Twin Prime Search Lucas–Lehmer–Riesel test Prime numbers Mathematics Number theory
75	PrimeGrid’s The Riesel Problem On 10 October 2013, 22:01:17 UTC, PrimeGrid’s The Riesel Problem project Add to Reading List Source URL: www.primegrid.com Language: English - Date: 2013-10-15 10:08:00 Numbers PrimeGrid Riesel Sieve Riesel number LLR Megaprime Berkeley Open Infrastructure for Network Computing Twin Prime Search Lucas–Lehmer–Riesel test Prime numbers Mathematics Number theory
76	Factorization of n = 87463 with the Quadratic Sieve To find a factor base consider the values of Add to Reading List Source URL: www.math.colostate.edu Language: English - Date: 2008-02-06 11:36:22 Factor base Number theory Congruence of squares Factorization of polynomials over a finite field and irreducibility tests Integer factorization algorithms Mathematics Quadratic sieve
77	Centre Interfacultaire Bernoulli (CIB) Thursday 5 May, 2011 Add to Reading List Source URL: wiki.epfl.ch Language: English Fields Medalists Expander graph Henryk Iwaniec Analytic number theory Jean Bourgain Sieve theory Knowledge Mathematics Academia Number theorists
78	Small Sieves, Part I: The Brun Sieve 1. Introduction. In this set of notes we introduce some ideas of Sieve Theory by looking at one of the first, and easiest, applications of the method. This is Brun’s proof that there are not too many Add to Reading List Source URL: www.math.uga.edu Language: English - Date: 2007-10-05 00:07:49 Selberg sieve Brun sieve Prime number Twin prime Legendre sieve Parity problem Sieve theory Mathematics Combinatorics
79	The Number Field Sieve Factorization of Large Numbers Add to Reading List Source URL: wob.iai.uni-bonn.de Language: English - Date: 2006-11-06 07:51:37 Numbers Special number field sieve General number field sieve Quadratic sieve Lenstra elliptic curve factorization Sieve theory Prime number Prime factor Rational sieve Integer factorization algorithms Number theory Mathematics
80	Sieve Methods D ENIS X AVIER C HARLES Add to Reading List Source URL: pages.cs.wisc.edu Language: English - Date: 2003-02-01 18:08:49 Primality tests Prime numbers Viggo Brun Large sieve Sieve of Eratosthenes Brun–Titchmarsh theorem Prime-counting function Grothendieck topology Brun sieve Mathematics Number theory Sieve theory

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