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Sieve theory
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1	02157 Functional Programming - Sequences Add to Reading List Source URL: www.imm.dtu.dk Language: English - Date: 2013-01-17 17:30:05 Software engineering Programming language theory Computer programming Functional languages Primality tests Procedural programming languages Integer sequences Lazy evaluation Pure Sieve of Eratosthenes ALGOL 68 Functional programming
2	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 at the last digit,” with the idea of cheaply pulling out possible factors of Add to Reading List Source URL: www.mat.uniroma2.it Language: English - Date: 2007-11-23 17:17:47 Mathematics Integer factorization algorithms Number theory Quadratic sieve Special number field sieve Quadratic residue General number field sieve Prime number Lenstra elliptic curve factorization Sieve of Eratosthenes Euclidean algorithm Prime-counting function
3	Integer factorization, part 1: the Q sieve Integer factorization, part 2: detecting smoothness D. J. Bernstein Add to Reading List Source URL: www.mat.uniroma2.it Language: English - Date: 2006-11-12 13:56:00 Integer factorization algorithms Mathematics Number theory Integer sequences Quadratic sieve Discrete mathematics Prime number Smooth number Special number field sieve General number field sieve
4	Integer factorization, part 1: the Q sieve D. J. Bernstein Sieving small integers using primes: Add to Reading List Source URL: www.mat.uniroma2.it Language: English - Date: 2006-11-12 13:55:56 Mathematics Integer factorization algorithms Number theory Integer sequences Integer factorization Prime number Prime factor Factorization Quadratic sieve Congruence of squares
5	doi:j.jnt Add to Reading List Source URL: www.mast.queensu.ca Language: English - Date: 2008-06-23 15:32:43 Mathematics Sieve theory Algebra Polynomials Turn sieve Prime number Number theory Factorization of polynomials over finite fields Average order of an arithmetic function
6	PII: 0022-314X Add to Reading List Source URL: www.mast.queensu.ca Language: English - Date: 2016-03-21 18:12:27 Mathematics Discrete mathematics Number theory Arithmetic functions Logarithms Prime number theorem Sieve theory Loglog plot Exponentiation Square-free integer Chebyshev function Brun sieve
7	International Mathematical Olympiad Preliminary Selection Contest 2004 — Hong Kong Outline of Solutions Answers: Add to Reading List Source URL: web.hku.hk Language: English - Date: 2013-03-15 02:40:55 Integer sequences Integer factorization algorithms Prime number Algebraic number theory Field theory Quadratic sieve Wieferich prime
8	FACTORIZATION TECHNIQUES ELVIS NUNEZ AND CHRIS SHAW Abstract. The security of the RSA public key cryptosystem relies upon the computational difficulty of deriving the factors of a particular semiprime modulus. In this pa Add to Reading List Source URL: davidlowryduda.com Language: English - Date: 2016-05-25 03:59:31 Integer factorization algorithms Mathematics Cryptography Number theory Quadratic sieve Euclidean algorithm RSA Prime number Factorization Trial division General number field sieve Rational sieve
9	Innovations in Computer ScienceIdeal Forms of Coppersmith’s Theorem and Guruswami-Sudan List Decoding Henry Cohn∗ Nadia Heninger? Microsoft Research New England, One Memorial Drive, Cambridge, MA 02142 Add to Reading List Source URL: conference.itcs.tsinghua.edu.cn Language: English - Date: 2010-12-15 03:49:23 Polynomials Coding theory Field theory Error detection and correction Finite field General number field sieve Irreducible polynomial Reed–Solomon error correction Algebraic integer Abstract algebra Algebra Mathematics
10	Square Root Algorithms for the Number Field Sieve Emmanuel Thomé INRIA Nancy, Villers-lès-Nancy, France Abstract. We review several methods for the square root step of the Add to Reading List Source URL: www.loria.fr Language: English - Date: 2012-11-29 10:44:38 Integer factorization algorithms Polynomials Field theory Algebraic number theory General number field sieve Special number field sieve Algebraic number field Elliptic curve Prime number Abstract algebra Mathematics Algebra

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