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Quadratic integer
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31	Factorization of a 768-bit RSA modulus version 1.21, January 13, 2010 Thorsten Kleinjung1 , Kazumaro Jens Franke3 , Arjen K. Lenstra1 , Emmanuel Thomé4 , Add to Reading List Source URL: www.loria.fr Language: English - Date: 2010-01-13 11:00:27 Number theory Quadratic sieve Special number field sieve General number field sieve Quadratic residue Prime number Factor base Lattice sieving RSA Integer factorization algorithms Cryptography Mathematics
32	Main text appears in T. Okamoto (Ed.): Advances in Cryptology – ASIACRYPT 2000, Springer-Verlag LNCS 1976, pp, ISBNAddendum does not appear in proceedings. Security of Cryptosystems Based on Cl Add to Reading List Source URL: www.bmoeller.de Language: English - Date: 2006-01-02 00:24:48 Algebraic number theory Integer factorization algorithms Finite fields Computational hardness assumptions Logarithms Discrete logarithm Quadratic sieve XTR Integer factorization Abstract algebra Mathematics Algebra
33	VersionePagina 1 di 27 ON SOME EQUATIONS CONCERNING THE RIEMANN’S PRIME NUMBER FORMULA AND ON A SECURE AND EFFICIENT PRIMALITY TEST. Add to Reading List Source URL: empslocal.ex.ac.uk Language: English - Date: 2014-10-15 04:06:56 Modular arithmetic Integer sequences Prime number Primality test RSA Wieferich prime Quadratic sieve Mathematics Number theory Cryptography
34	Odd prime values of the Ramanujan tau function Nik Lygeros & Olivier Rozier The Ramanujan Journal Add to Reading List Source URL: www.lygeros.org Language: English - Date: 2013-03-18 03:48:34 Modular arithmetic Quadratic residue Algebraic number theory Integer sequences Fermat number Quadratic reciprocity Tau-function Prime number Legendre symbol Mathematics Number theory Abstract algebra
35	THE FACTORING DEAD: PREPARING FOR THE CRYPTOPOCALYPSE Javed Samuel — javed[at]isecpartners[dot]com iSEC Partners, Inc 123 Mission Street, Suite 1020 San Francisco, CA 94105 Add to Reading List Source URL: www.isecpartners.com Language: English - Date: 2014-04-02 07:42:28 Integer factorization algorithms Finite fields Logarithms Computational hardness assumptions Discrete logarithm Integer factorization Quadratic sieve XTR General number field sieve Abstract algebra Cryptography Mathematics
36	MATHEMATICS OF COMPUTATION Volume 72, Number 243, Pages 1555–1572 SArticle electronically published on December 6, 2002 THE TWENTY-FOURTH FERMAT NUMBER IS COMPOSITE Add to Reading List Source URL: hogranch.com Language: English - Date: 2003-06-16 14:16:04 Primality tests Integer sequences Binary operations Functional analysis Image processing Fermat number Quadratic residue Fast Fourier transform Convolution Mathematics Abstract algebra Mathematical analysis
37	Security of Cryptosystems Based on Class Groups of Imaginary Quadratic Orders Safuat Hamdy Bodo Möller Add to Reading List Source URL: www.bmoeller.de Language: English - Date: 2006-01-02 00:23:19 Integer factorization algorithms Finite fields Computational hardness assumptions Algebraic number theory Group theory XTR Discrete logarithm Quadratic sieve Integer factorization Abstract algebra Mathematics Algebra
38	The Statistical Zero-knowledge Proof for Blum Integer Based on Discrete Logarithm∗ Chunming Tang † Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2003-11-03 03:50:58 Integer sequences Modular arithmetic Quadratic residue Zero-knowledge proof Blum integer Non-interactive zero-knowledge proof Proof of knowledge NP IP Cryptography Mathematics Cryptographic protocols
39	16th Baltic Way Mathematical Team Contest: Solutions November 5, 2005, Stockholm, Sweden 1. Answer: No, the sequence must contain two equal terms. It is clear that there exists a smallest positive integer k such that 10k Add to Reading List Source URL: www.georgmohr.dk Language: English - Date: 2005-11-08 02:58:48 Modular arithmetic Integer sequences Algebraic number theory Quadratic residue SYmbolic LinK Binomial coefficient Mathematics Number theory Abstract algebra
40	Seminar Report on Riemann hypothesis and its Impact on RSA - Chauthaiwale Atharva Shriram (2008H103422) Add to Reading List Source URL: csis.bits-pilani.ac.in Language: English - Date: 2009-02-20 05:41:14 Analytic number theory Conjectures Primality tests Riemann hypothesis Riemann zeta function Prime number Miller–Rabin primality test Integer factorization Quadratic sieve Mathematics Number theory Mathematical analysis

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