User:Amitosh.swain/Books/Numbers Volume 2

Volume 2

 * Prime Numbers (continued)
 * Prime Conjectures
 * Agoh–Giuga conjecture
 * Andrica's conjecture
 * Artin's conjecture on primitive roots
 * Bateman–Horn conjecture
 * Brocard's conjecture
 * Bunyakovsky conjecture
 * Chinese hypothesis
 * Cramér's conjecture
 * Dickson's conjecture
 * Elliott–Halberstam conjecture
 * Firoozbakht’s conjecture
 * First Hardy-Littlewood conjecture
 * Gilbreath's conjecture
 * Goldbach's conjecture
 * Goldbach's weak conjecture
 * Grimm's conjecture
 * Landau's problems
 * Legendre's conjecture
 * Legendre's constant
 * Lemoine's conjecture
 * Mersenne conjectures
 * Oppermann's conjecture
 * Polignac's conjecture
 * Pólya conjecture
 * Redmond–Sun conjecture
 * Schinzel's hypothesis H
 * Second Hardy–Littlewood conjecture
 * Twin prime conjecture
 * Waring's prime number conjecture


 * Factorization Algorithms
 * Integer factorization
 * Algebraic-group factorisation algorithm
 * Congruence of squares
 * Continued fraction factorization
 * Dixon's factorization method
 * Euler's factorization method
 * Factor base
 * Fast Library for Number Theory
 * Fermat's factorization method
 * General number field sieve
 * Integer factorization records
 * Lattice sieving
 * Lenstra elliptic curve factorization
 * Pollard's p − 1 algorithm
 * Pollard's rho algorithm
 * Quadratic sieve
 * Rational sieve
 * RSA Factoring Challenge
 * RSA numbers
 * Shanks' square forms factorization
 * Shor's algorithm
 * Special number field sieve
 * Trial division
 * Williams' p + 1 algorithm


 * Primality Tests
 * Primality test
 * Adleman–Pomerance–Rumely primality test
 * AKS primality test
 * Baillie–PSW primality test
 * Elliptic curve primality proving
 * Elliptic curve primality testing
 * Fermat primality test
 * Lucas primality test
 * Lucas–Lehmer primality test
 * Lucas–Lehmer–Riesel test
 * Miller–Rabin primality test
 * MPrime
 * NewPGen
 * Pépin's test
 * Pocklington primality test
 * Primality certificate
 * Prime95
 * Proth's theorem
 * Provable prime
 * Quadratic Frobenius test
 * Sieve of Atkin
 * Sieve of Eratosthenes
 * Sieve of Sundaram
 * Solovay–Strassen primality test
 * Wheel factorization


 * Pseudoprimes
 * Pseudoprime
 * Carmichael number
 * Catalan pseudoprime
 * Elliptic pseudoprime
 * Euler pseudoprime
 * Euler–Jacobi pseudoprime
 * Fermat pseudoprime
 * Frobenius pseudoprime
 * Lucas pseudoprime
 * Probable prime
 * Somer–Lucas pseudoprime
 * Strong pseudoprime


 * Theorems
 * Bertrand's postulate
 * Brun's theorem
 * Brun–Titchmarsh theorem
 * Chen's theorem
 * Dirichlet's theorem on arithmetic progressions
 * Erdős–Kac theorem
 * Euclid's lemma
 * Euclid's theorem
 * Euler's criterion
 * Fermat's little theorem
 * Friedlander–Iwaniec theorem
 * Fundamental theorem of arithmetic
 * Green–Tao theorem
 * Hardy–Ramanujan theorem
 * Lagrange's theorem (number theory)
 * Linnik's theorem
 * Lucas' theorem
 * Maier's theorem
 * Mertens' theorems
 * Prime number theorem
 * Rosser's theorem
 * Siegel–Walfisz theorem
 * Divergence of the sum of the reciprocals of the primes
 * Vantieghems theorem
 * Vinogradov's theorem
 * Wilson's theorem
 * Wolstenholme's theorem


 * Recurrence Relations
 * Recurrence relation
 * Akra–Bazzi method
 * Embree–Trefethen constant
 * Integrodifference equation
 * Jacobi operator
 * Jacobsthal number
 * Lucas sequence
 * Master theorem
 * Matrix difference equation
 * McCarthy 91 function
 * Ménage problem
 * Padovan sequence
 * Pell number
 * Perrin number
 * Primefree sequence
 * Rational difference equation
 * Sylvester's sequence
 * Time-scale calculus


 * Triangle of Numbers
 * Triangular array
 * Bell number
 * Binomial coefficient
 * Boustrophedon transform
 * Catalan's triangle
 * Dudley triangle
 * Eulerian number
 * Floyd's triangle
 * Hosoya's triangle
 * Lah number
 * Leibniz harmonic triangle
 * Lozanić's triangle
 * Narayana number
 * Pascal matrix
 * Pascal's pyramid
 * Pascal's simplex
 * Pascal's triangle
 * Rencontres numbers
 * Singmaster's conjecture
 * Stirling numbers of the first kind
 * Stirling numbers of the second kind
 * Trinomial triangle
 * Wythoff array


 * Mathematical Constants
 * Mathematical constant
 * Mathematical constants by continued fraction representation
 * Apéry's constant
 * Backhouse's constant
 * Bernstein's constant
 * Brun's constant
 * Cahen's constant
 * Catalan's constant
 * Champernowne constant
 * Conic constant
 * De Bruijn–Newman constant
 * Degree (angle)
 * E (mathematical constant)
 * Erdős–Borwein constant
 * Euler product
 * Euler–Mascheroni constant
 * Favard constant
 * Feigenbaum constants
 * Feller's coin-tossing constants
 * Foias constant
 * Fransén–Robinson constant
 * Gauss's constant
 * Gelfond's constant
 * Gelfond–Schneider constant
 * Glaisher–Kinkelin constant
 * Golden ratio
 * Golomb–Dickman constant
 * Hafner–Sarnak–McCurley constant
 * Heath-Brown–Moroz constant
 * Hermite constant
 * Imaginary unit
 * 6174 (number)
 * Kepler–Bouwkamp constant
 * Khinchin's constant
 * Komornik–Loreti constant
 * Landau's constants
 * Landau–Ramanujan constant
 * Laplace limit
 * Lebesgue constant
 * Lévy's constant
 * Lieb's square ice constant
 * Linnik's constant
 * List of representations of e
 * List of scientific constants named after people
 * Look-and-say sequence
 * Madelung constant
 * Meissel–Mertens constant
 * Mills' constant
 * MRB constant
 * Niven's constant
 * Omega constant
 * Particular values of the Gamma function
 * Plastic number
 * Prouhet–Thue–Morse constant
 * Ramanujan–Soldner constant
 * Random Fibonacci sequence
 * Reciprocal Fibonacci constant
 * Ring of periods
 * Schnirelmann density
 * Seshadri constant
 * Sierpiński's constant
 * Silver ratio
 * Somos' quadratic recurrence constant
 * Square root of 5
 * Square root of 3
 * Square root of 2
 * Stieltjes constants
 * Twelfth root of two
 * Universal parabolic constant
 * Zeta constant


 * E
 * Exponential function
 * Lindemann–Weierstrass theorem
 * Natural logarithm


 * Logarithms
 * Logarithmic spiral
 * Binary logarithm
 * Common logarithm
 * Complex logarithm
 * Iterated logarithm
 * Mercator series
 * Napierian logarithm
 * Pollard's kangaroo algorithm
 * Pollard's rho algorithm for logarithms
 * Super-logarithm
 * Discrete logarithm
 * List of logarithmic identities
 * Logarithm
 * Euler's identity


 * One
 * 1 (number)
 * 0.999...
 * 1 + 1 + 1 + 1 + ⋯
 * 1/2 + 1/4 + 1/8 + 1/16 + ⋯
 * Empty product
 * Grandi's series
 * Hapax legomenon
 * Identity element
 * Identity function
 * Identity matrix
 * Matrix of ones
 * −1 (number)
 * Normalizing constant
 * One-dimensional symmetry group
 * One-form
 * One-parameter group
 * Root of unity
 * Singleton (mathematics)
 * Trivial ring
 * Unary numeral system
 * Uniqueness quantification
 * Unit (ring theory)
 * Unit circle
 * Unit cube
 * Unit disk
 * Unit fraction
 * Unit function
 * Unit hyperbola
 * Unit interval
 * Unit sphere
 * Unit square
 * Unit vector


 * Pi
 * Pi
 * Area of a disk
 * Circumference
 * List of formulae involving π
 * Proof that π is irrational
 * Proof that 22/7 exceeds π
 * Approximations of π
 * Leibniz formula for π
 * Chronology of computation of π


 * Pi Algorithms
 * Bailey–Borwein–Plouffe formula
 * Bellard's formula
 * Borwein's algorithm
 * Chudnovsky algorithm
 * FEE method
 * User:Reddwarf2956/List of formulae involving Ratio of circumference to radius
 * Gauss–Legendre algorithm
 * Liu Hui's π algorithm
 * Machin-like formula
 * Wallis product