Tables Number Theory Math

Tables

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• - A number is practical if all smaller numbers are sums of distinct divisors. Tables compiled by Guiseppe Melfi.
  
• - A Project Gutenberg etext.
  
• - Primes to 19 million; twin primes to 394 million; quadruple primes to 500 million.
  
• - Information about the positive integers, with counts of some number-theoretic functions, maintained by Saqib Kadri.
  
• - FTP site by Michael Stoll, with MAGMA code.
  
• - Compiled by Noam Elkies.
  
• - Over 2000 multiperfect numbers sorted by numerical value and by factorisation.
  
• - 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.
  
• - Tables of the factorization of sigma(n).
  
• - Browsable interfaces to tables and computations on elliptic curves, quadratic forms, and modular forms.
  
• - By Andrew Odlyzko. The first 100,000 to 8 places, the first 1000 to 1000 places.
  
• - 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.
  
• - Wilfrid Keller and Jörg Richstein. A complete list of solutions (a, p) for odd prime bases a < 1000 and primes p < 10^11: for the single base a = 5 the larger interval p < 2^38.
  
• - FTP site at the University of Bordeaux. Fields of degree up to 7.
  
• - Lists of results, description of algorithms and tables of numerical data, by István Gaál.
  
• - 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 s
  
• - A Project Gutenberg etext.
  
• - Tabulated by Eyal Goren using Pari.
  
• - FTP site maintained by Victor Flynn. Formulae for Jacobian arithmetic and Maple algorithms.
  
• - Irregular primes and relative class numbers. Irregular pairs (and Vandiver and cyclotomic residues) for primes up to 8 million. Compiled by Amin Shokrollahi.
  
• - Number fields of degree up to seven ramified at only a few small primes.
  
• - Noam Elkies. Approximate solutions of x^n + y^n = z^n in integers with 0 < x <= y < z < 2^23 and n in [4,20].
  
• - The 150 Carmichael numbers out of 246683 up to 10^16 that are Perrin pseudoprimes.
  
• - Tabulated using a simple C program.
  
• - Tables of the Fermat pseudoprimes base 2 up to 10^13 and Carmichael numbers up to 10^17 compiled by Richard Pinch.
  
• - 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.
  
• - A Project Gutenberg etext.
  
• - By John W. Jones and David P. Roberts. Tables of low degree extensions of Qp, for small p.
  
• - Tables and results on cubic number fields by Daniel A. Mayer.
  
• - Tables of the fields with class number at most 23.
  
• - 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.
  
• - 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 re
  
  

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