Subdirectories of Tables:
Categories related to Science: Math: Number Theory: Tables: Science: Math: Reference: Tables (4) Websites on Tables: Algorithmic Number Theory: Tables and Links Compiled by Noam Elkies. Algorithms for Solving Index Form Equations and Computing Power Integral Bases Lists of results, description of algorithms and tables of numerical data, by István Gaál. Carmichael Numbers and Lehmer's Problem Carmichael numbers n up to 10^9 together with phi(n), (n-1)/phi(n) and the factorization of n. Compiled by Jan Kristian Haugland. Cubic Field Extensions Tables and results on cubic number fields by Daniel A. Mayer. A Database for Number Fields By Jürgen Klüners and Gunter Malle. Polynomials for all transitive groups up to degree 15, for most of the possible combinations of signature and Galois group. Up to degree 7 the fields with minimal (absolute) discriminant with given Galois group and signature are included. Database of Local Fields By John W. Jones and David P. Roberts. Tables of low degree extensions of Qp, for small p. Dedekind Zeta Functions Tabulated by Eyal Goren using Pari. Enumeration of Twin Primes and Brun's Constant Enumeration of the twin primes, and the sum of their reciprocals, to 1.6 × 10^15. An improved estimate is obtained for Brun's constant, B2 = 1.90216 05824 ± 0.00000 00030. Error analysis is presented to support the opinion that the stated error bound represents a 99 % confidence level. Extended Counts of Twin Primes By Thomas Nicely. Counts in decades up to 10^12 then in steps of 10^12 up to 3.10^15, giving 3,310,517,800,844 pairs. Factorization Tables Tables of the factorization of sigma(n). Fermat Near-misses Noam Elkies. Approximate solutions in integers. The First 498 Bernoulli Numbers A Project Gutenberg etext. The First 28,915 Odd Primes Tabulated using a simple C program. The First 100,000 Prime Numbers A Project Gutenberg etext. Imaginary Quadratic Fields Tables of the fields with class number at most 23. Multiply Perfect Numbers Over 2000 multiperfect numbers sorted by numerical value and by factorisation. Number Field Tables FTP site at the University of Bordeaux. Fields of degree up to 7. Number Fields with Prescribed Ramification Number fields of degree up to seven ramified at only a few small primes. The Positive Integers Information about the positive integers, with counts of some number-theoretic functions, maintained by Saqib Kadri. Practical Numbers A number is practical if all smaller numbers are sums of distinct divisors. Tables compiled by Giuseppe Melfi. Pseudoprimes and Carmichael Numbers Tables of the Fermat pseudoprimes base 2 up to 10^13 and Carmichael numbers up to 10^17 compiled by Richard Pinch. Table of Masses of 32-dimensional Even Unimodular Lattices With any given root system. Oliver King. Tables and Computations Browsable interfaces to tables and computations on elliptic curves, quadratic forms, and modular forms. Tables of Number Fields Hilbert class field of totally real fields of degree 2, 3 and 4; Totally real fields with small root discriminant; Totally real quintic dihedral fields. By Xavier-François Roblot. The Value of Zeta(3) to 1,000,000 Decimal Digits A Project Gutenberg etext. Vanishing Fermat Quotients R. Ernvall and T. Metsänkylä. Tables of the pairs (p,k) such that the Fermat quotient q(k) = (k^{p-1}-1)/p vanishes mod p. The tables cover the primes p up to one million and, for each prime, the range 1 < k < p. Zeroes of the Riemann Zeta Function By Andrew Odlyzko. The first 100,000 to 8 places, the first 1000 to 1000 places.
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