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Factoring: Factoring numbers is a concept learnt with the introduction of divisibility in schools - yet the process can be exceptionally challenging and difficult. This seccionddresses topics from the basic divisibility tests to perfection and the general problem of extracting prime factors. Math Number Theory Factoring:
 Software: Software English Science Math Number Theory: Computational English Computers Computer Science Distributed Computing Projects: Cryptography FactorWorld - FactoringScience: FactorWorld, Number Theory Factoring Dedicated to algorithms and computational results on integer factorization Factoring Includes links to papers, downloadable software, and online resources. Factoring Fermat Numbers - FactoringScience: Factoring, Number Theory Factoring Cash prizes for new factors of Fermat numbers Fn Fermat Numbers Factoring for n = 12 through 22. Integer FactorizationScience: Integer, Number Theory Factoring Paul Leyland's list of his own and other factorisations Factorization . Factoring PapersScience: Factoring, Number Theory Factoring Links to papers on the theory and practice of factoring Papers . Known Amicable PairsScience: Known, Number Theory Factoring A listing of all the known pairs of numbers Amicable Pairs each of which is the sum of the aliquot divisors of the other. Complete for smaller numbers, and extending beyond 200 digits. N!+-1 Factoring Status - FactoringScience: N!+-1, Number Theory Factoring Factoring efforts that have been made so far on numbers of the form n!+-1 using ECM factoring Factoring Status Factoring . Factorization Using the Elliptic Curve MethodScience: Factorization, Number Theory Factoring Java applet that can be used to find 20- or 30-digit factors of numbers or numerical expressions up to 1000 digits long Using the Elliptic Curve Method It also computes the number and sum of divisors, the Euler's totient and moebius functions, and the decomposition of the number in a sum of up to four squares. Computing Aurifeuillian factors - FactoringScience: Computing, Number Theory Factoring Algorithm that finds non-trivial factors of certain numbers of the form a^b +/- 1 Aurifeuillian factors Factoring . Sierpinski Problem - FactoringScience: Sierpinski, Number Theory Factoring Sierpinski proved there exist infinitely many odd integers k such that k*2^n+1 is composite for every n Problem Factoring Ray Ballinger coordinates a search to prove or disprove whether k=78557 is the smallest solution. Factorization of F10Science: Factorization, Number Theory Factoring F10 = 2^ of F10 2^10, + 1 is the 10-th Fermat number. Richard Brent describes his discovery of the two largest factors. Factorizations of Near-repdigit Numbers - FactoringScience: Factorizations, Number Theory Factoring Factorizations of numbers composed of all the same digit except first and/or last of Nearrepdigit Numbers Factoring . Factoris - FactoringScience: Factoris, Number Theory Factoring Online calculator that factorizes large numbers Factoring specified by formula. RSA Laboratories Factoring Challenge - FactoringScience: RSA Laboratories, Number Theory Factoring Numbers representative of those used in the RSA cryptosystem are offered for factor attempts with prizes Factoring Challenge Factoring A Partition List challenge is also provided in order to encourage work on factoring in general. Number Field SieveScience: Number, Number Theory Factoring Triade systems links to papers on the number field sieve Field Sieve . Discovery of a Lost Factoring MachineScience: Discovery, Number Theory Factoring Built by a French amateur of a Lost Factoring Machine E.-O. Carissan, around 1919. Shallit, Williams and Morain include photographs and references to their paper. CLINTScience: CLINT, Number Theory Factoring · Hugh Montgomery's Computational Laboratories in Number Theory CLINT TeX files and Pascal source code. Algorithmic Number TheoryScience: Algorithmic, Number Theory Factoring · Notes by Al Sethuraman Number Theory . Goldbach's Conjecture and Factoring the Cryptographic ModulusScience: Goldbach's, Number Theory Factoring · Algebraic Factoring of the Cryptography Modulus and Proof of Goldbach's Conjecture Conjecture and Factoring the Cryptographic Modulus Ellipsa - Elliptic Curve Primality Proving - FactoringScience: Ellipsa, Number Theory Factoring · Primo Elliptic Curve Primality Proving Factoring a primality proving program based on the ECPP algorithm. With Primo one can check crypto-primes and prove whether or not they are actually prime. Explaining the Divisibility RulesScience: Explaining, Number Theory Factoring · Proof of the elementary division rules the Divisibility Rules plus some lesser-known rules for larger divisors and other bases. Digital Divisibility TestsScience: Digital, Number Theory Factoring · From Carlos Rivera's Prime Puzzles and Problems collection Divisibility Tests Carlos asks for the general divisibility rules for any prime number. Aliquot Sequences - FactoringScience: Aliquot, Number Theory Factoring · Statistics by Wolfgang Creyaufmueller Sequences Factoring including many tables and links to factoring sites and software. Perfect, Amicable and Sociable Numbers - FactoringScience: Perfect, Number Theory Factoring · Definitions Amicable and Sociable Numbers Factoring links and references of various applications of the sum of divisors function s,n,. Mersenne Prime FreewareScience: Mersenne, Number Theory Factoring · Freeware to search for Mersenne Primes Prime Freeware Pointers to FreeLIP, GMP, HFloat, apfloat, CALC. Schulenberg and AssociatesScience: Schulenberg, Number Theory Factoring · Factoring programs and Associates Windows, free download. Factor TablesScience: Factor, Number Theory Factoring · Richard Brent's tables extend the scope of the Cunningham project Tables factoring b^n+-1, to all applicable bases b less than 100, plus some higher bases. Brilliant NumbersScience: Brilliant, Number Theory Factoring · Tables of maximal and minimal numbers with two Numbers three or four prime factors of the same length ,in decimal notation,. The Work of Robert LanglandsMath Number Theory - Thesis of Robert Langlands papers, manuscripts, letters and bibliography. Infinite Series TheoremMath Number Theory - Addresses the question whether a series of rational functions converges to a rational number Series Theorem . Lehmer's Conjecture - FactoringMath Number Theory - That the Mahler measure of an algebraic number is bounded away from 1 Conjecture Factoring Pages by Michael Mossinghoff, UCLA. 2^n Modulo nMath Number Theory - Joe Crump's results on values of n with prescribed values of 2^n modulo n n . Number Theory GlossaryMath Number Theory - Compiled by Robert Campbell Theory Glossary . | |||||||||
