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Quadratic sieve
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1	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: websites.math.leidenuniv.nl Language: English - Date: 2005-10-10 10:28:27
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	The Million-Key Question—Investigating the Origins of RSA Public Keys Petr Švenda, Matúš Nemec, Peter Sekan, Rudolf Kvašňovský, David Formánek, David Komárek, and Vashek Matyáš, Masaryk University https://www Add to Reading List Source URL: www.usenix.org Language: English - Date: 2016-08-10 03:08:02 Cryptography Integer sequences Integer factorization algorithms Primality tests Safe prime Finite fields RSA Prime number Strong prime Blum integer Trial division Quadratic sieve
6	Implicit Factoring: On Polynomial Time Factoring Given Only an Implicit Hint ∗ Alexander May, Maike Ritzenhofen Horst Görtz Institute for IT-security Faculty of Mathematics Ruhr-University of Bochum, 44780 Bochum, Ger Add to Reading List Source URL: www.cits.rub.de Language: English - Date: 2015-08-28 10:30:32 Cryptography Integer factorization algorithms Computational hardness assumptions E-commerce RSA Quadratic sieve Lattice Integer factorization
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	Integer Factorization and Computing Discrete Logarithms in Maple Aaron Bradford∗, Michael Monagan∗, Colin Percival∗ , , Department of Mathematics, Simon Fr Add to Reading List Source URL: www.daemonology.net Language: English - Date: 2006-05-14 06:12:35 Cryptography Integer factorization algorithms Mathematics Abstract algebra Quadratic sieve General number field sieve Prime number Safe prime Discrete logarithm RSA Sieve of Atkin Quadratic residue
10	A kilobit special number field sieve factorization Kazumaro Aoki1 , Jens Franke2 , Thorsten Kleinjung2 , Arjen K. Lenstra3 , and Dag Arne Osvik3 1 2 Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2007-05-31 05:26:07 Special number field sieve Integer factorization General number field sieve Factorization RSA Lenstra elliptic curve factorization Factor base Quadratic sieve Integer factorization records Integer factorization algorithms Cryptography Mathematics

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