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	Mathematics > Number Theory
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	110 items are in this category. Listing all items:

	Accelerating Wilson's Primality Test [in Articles] The Agrawal-Kayal-Saxena Primality Test [in Demos] A Brief Introduction to Integer Linear Programming in Mathematica [in Conference Proceedings] Calculating Pi: from Antiquity to Modern Times [in Demos] Champernowne Constant and Its Continued Fraction Expansion [in MathSource: Packages and Programs] Classroom Notes: Methods for Calculating pi [in Articles] Classroom Notes: On Calculating pi [in Articles] The Collatz (3x + 1) Problem [in Demos] Computational Evidence for Lehmer's Totient Conjecture [in MathSource: Packages and Programs] Computational Number Theory. Part I: Multiplicative Functions [in Articles] Computational Number Theory. Part II: Dirichlet Inversion [in Articles] Computational Number Theory. Part III: Cyclotomy, Fields and Posets [in Articles] Computing Curves Bounding Trigonometric Planar Maps: Symbolic and Hybrid Methods [in Conference Proceedings] Computing Knopfmacher's Limit, or My First Foray into Computational Mathematics, Reprise [in Conference Proceedings] Computing the Landau-Ramanujan Constant [in Demos] cos(2pi/257) à la Gauss [in Articles] A Course in Computational Number Theory [in Books] Cowculations: Superprime Beef [in Articles] Curious Properties of an Iterative Process [in MathSource: Packages and Programs] Curious properties of an iterative process under various moduli [in MathSource: Packages and Programs] Discrete Mathematics: An Introduction to Proofs and Combinatorics [in Books] Displaying Numbers [in Articles] DSA Scheme using elliptic curves over a prime field [in MathSource: Packages and Programs] Duplicator Formula for Cubic Elliptic Curves [in MathSource: Packages and Programs] The Education Forum: Three Excerpts from Euler [in Articles] Effective solution of linear Diophantine equation systems with an application in chemistry [in Articles] Egyptian Decomposition [in MathSource: Packages and Programs] Egyptian Fractions [in MathSource: Packages and Programs] Elementary Number Theory Applied to Image Processing [in Conference Proceedings] Elliptic Curve Data [in Demos] Elliptic Curve Diffie-Hellman key agreement scheme [in MathSource: Packages and Programs] Elliptic Curves [in Demos] Extended lattice reduce algorithm [in MathSource: Packages and Programs] Fast Fibonacci Numbers [in Articles] Fibonacci on the Fast Track [in Articles] Finding the Inverse of Euler Totient Function [in MathSource: Packages and Programs] Finite Quantum Chaos [in Articles] Frobenius Numbers by Lattice Points: Applications of Integer Optimization to a Classic Computational Problem [in Conference Proceedings] Frobenius Numbers by Toric Gröbner Bases [in Conference Proceedings] Genius of Ramanujan vs. Modern Mathematical Technology [in Articles] Graphics Gallery: Gaussian Moats [in Articles] HadamardSearch [in MathSource: Packages and Programs] Half-GCD, Fast Rational Recovery, and Planar Lattice Reduction [in Conference Proceedings] Hankel Determinants of Eisenstein Series [in Articles] Infinite Sets of Square-Free omega-words Derived from the Prouhet-Thue-Morse Sequence [in Conference Proceedings] Integer Linear Programming, Frobenius Instances, and Frobenius Numbers [in Conference Proceedings] Interesting Properties of the Fibonacci Sequence Under Various Moduli [in Conference Proceedings] Introduction to Number Theory [in Books] Limits of Continued Fractions and Nested Radicals [in Articles] The Linear Diophantine Equation in Nonnegative Variables [in Articles] The Locker Problem: Investigations and Extensions with Mathematica [in Conference Proceedings] The Magic of Imaginary Factoring [in Articles] Making Change and Finding Repfigits: Balancing a Knapsack [in Conference Proceedings] Mathematica Conversations 2: Alternative Expressions for Sequences with Mathematica [in Articles] Mathematica Evidence that Ramanujan Kills Baker-Gammel-Wills [in Articles] Mathematica Games: Towers of Power: A Potent Paradox [in Articles] The Mathematica GuideBook for Numerics [in Books] Mathematica in Action, II: Certified Primes [in Articles] Mathematica One-Liners [in Articles] Mathematica One-Liners [in Articles] Mathematica One-Liners [in Articles] Mathematica Pearls: Factorial Prime Decomposition [in Articles] Mathematica Pearls: Keith Numbers [in Articles] Mathematica Pearls: Ordering Fractions [in Articles] Mathematica Pearls: Programming Pearls [in Articles] Mathematica Pearls: Solutions to Elementary Problem E1 and Advanced Problem A1 [in Articles] Mathematica Pearls: Solutions to Elementary Problem E2 (digital product) and Advanced Problem A2 (SmallestPerfectSquare) [in Articles] Mathematica Pearls: Superprime Rib [in Articles] Mathematica Pearls: TreeGraphic by Matthew Cook [in Articles] Mathematics: Powerful Patterns in Nature and Society [in Books] Musical and Graphic Representations of the Fibonacci String and Proteins using Mathematica [in Articles] On the Random Character of Fundamental Constant Expansions [in Articles] On the Zeros of the Ramanujan tau-Dirichlet Series in the Critical Strip [in Articles] p-adic Arithmetic [in MathSource: Packages and Programs] p-adic Arithmetic [in Articles] Pandigital Expressions [in MathSource: Packages and Programs] Partitions and Sums of Integer Powers [in MathSource: Packages and Programs] Pi: A 2000-Year Search Changes Direction [in Articles] Power Series and Generating Functions [in MathSource: Packages and Programs] Power Tower n^^n, mod 100 [in MathSource: Packages and Programs] PreviousPrime [in Technical Notes] Prime Numbers: A Computational Perspective [in Books] Prime Numbers: A Computational Perspective, Second Edition [in Books] Primitive Roots [in MathSource: Packages and Programs] Programming Tips: Secrets of the Madelung Constant [in Articles] Projects in Scientific Computation [in Books] PSLQ Integer Relation algorithm implementation [in MathSource: Packages and Programs] QDENSITY: A Quantum Computer Simulation [in MathSource: Packages and Programs] Quintuples with Square Triplets [in Articles] RComp: A Mathematica Package for Computing with Recursive Sequences [in Articles] Real Numbers. The Archimedes approach reinforced with Mathematica [in Courseware and Class Materials] A RealOnly Package That Can Be Disabled or Enabled [in MathSource: Packages and Programs] Rewriting Systems [in MathSource: Packages and Programs] The Riemann Hypothesis [in Demos] Routines to Implement Concepts from Lattice Theory [in MathSource: Packages and Programs] Sequence Pictures [in MathSource: Packages and Programs] The Series Sum[n^m x^n, {n, 1, Infinity}] and a Pascal-like Triangle [in Articles] Solution of Fermat's Equation z1^n + z2^n = [in MathSource: Packages and Programs] Solving certain Thue equations with the aid of Mathematica [in Articles] Solving with Interval Analysis [in Conference Proceedings] suugaku 1+A (Number and Equations, series) [in Books] Tangent Sequences, World Records, Pi, and the Meaning of Life: Some Applications of Number Theory to Calculus [in Articles] Ten Algorithms for Egyptian Fractions [in Articles] Thirty-Three Representations of Catalan's Constant [in Demos] The Triangular System of Numbers [in MathSource: Packages and Programs] Trott's Corner: Modular Equations of the Rogers-Ramanujan Continued Fraction [in Articles] Un Programa Efectivo para Calcular las Antiimágenes de la Función de Euler [in Articles] What Is a Prime Number? [in Articles] When Close Enough is Close Enough [in Articles] The World's Biggest Prime [in MathSource: Packages and Programs]
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