User:Amitosh.swain/Books/Numbers Volume 2

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Numbers

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