Directory of Tables Resources

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Subcategories

• Elliptic Curves and Modular Forms
• Factoring

Resources in This Category

• Algorithmic Number Theory: Tables and Links

  http://www.math.harvard.edu/~elkies/compnt.html
  Compiled by Noam Elkies.

• Algorithms for Solving Index Form Equations and Computing Power Integral Bases

  http://www.math.klte.hu/~igaal/algorithm.htm
  Lists of results, description of algorithms and tables of numerical data, by István Gaál.

• Cubic Field Extensions

  http://www.algebra.at/CubicNumberFields.htm
  Tables and results on cubic number fields by Daniel A. Mayer.

• Database of Local Fields

  http://math.asu.edu/~jj/localfields/
  By John W. Jones and David P. Roberts. Tables of low degree extensions of Qp, for small p.

• Dedekind Zeta Functions

  http://www.math.mcgill.ca/goren/ZetaValues/zeta.html
  Tabulated by Eyal Goren using Pari.

• Enumeration of Twin Primes and Brun's Constant

  http://www.trnicely.net/twins/twins2.html
  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

  http://www.trnicely.net/twins/tabpi2.html
  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.

• Fermat Near-misses

  http://www.math.harvard.edu/~elkies/ferm.html
  Noam Elkies. Approximate solutions in integers.

• Imaginary Quadratic Fields

  http://www.numbertheory.org/classnos/
  Tables of the fields with class number at most 23.

• Number Fields with Prescribed Ramification

  http://math.la.asu.edu/~jj/numberfields/
  Number fields of degree up to seven ramified at only a few small primes.

• Practical Numbers

  http://www.dm.unipi.it/gauss-pages/melfi/public_html/pratica.html
  A number is practical if all smaller numbers are sums of distinct divisors. Tables compiled by Giuseppe Melfi.

• Pseudoprimes and Carmichael Numbers

  http://www.chalcedon.demon.co.uk/rgep/carpsp.html
  Tables of the Fermat pseudoprimes base 2 up to 10^13 and Carmichael numbers up to 10^17 compiled by Richard Pinch.

• Tables and Computations

  http://www.math.utexas.edu/users/tornaria/cnt/
  Browsable interfaces to tables and computations on elliptic curves, quadratic forms, and modular forms.

• The First 100,000 Prime Numbers

  http://digital.library.upenn.edu/webbin/gutbook/lookup?num=65
  A Project Gutenberg etext.

• The First 498 Bernoulli Numbers

  http://digital.library.upenn.edu/webbin/gutbook/lookup?num=2586
  A Project Gutenberg etext.

• The Mathematical Foundation: Publications

  http://mathematical.com/publications.htm
  Primes and various other tables available on DVD or CD. Free copies available for donation to some institutions.

• The Positive Integers

  http://www.positiveintegers.org/
  Information about the positive integers, with counts of some number-theoretic functions, maintained by Saqib Kadri.

• The Value of Zeta(3) to 1,000,000 Decimal Digits

  http://digital.library.upenn.edu/webbin/gutbook/lookup?num=2583
  A Project Gutenberg etext.

• Vanishing Fermat Quotients

  http://users.utu.fi/taumets/fermat/fermat.htm
  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

  http://www.dtc.umn.edu/~odlyzko/zeta_tables/
  By Andrew Odlyzko. The first 100,000 to 8 places, the first 1000 to 1000 places.

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