Web Directory

» 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 si
   http://www.math.uni-duesseldorf.de/~klueners/minimum/

» Algorithmic Number Theory: Tables and Links
   Compiled by Noam Elkies.
   http://www.math.harvard.edu/~elkies/compnt.html

» 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.
   http://www.math.klte.hu/~igaal/algorithm.htm

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

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

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

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

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

» Fermat Near-misses
   Noam Elkies. Approximate solutions in integers.
   http://www.math.harvard.edu/~elkies/ferm.html

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

» Multiply Perfect Numbers
   Over 2000 multiperfect numbers sorted by numerical value and by factorisation.
   ftp://ftp.cs.arizona.edu/xkernel/rcs/mpfn.html

» Number Field Tables
   FTP site at the University of Bordeaux. Fields of degree up to 7.
   ftp://megrez.math.u-bordeaux.fr/pub/numberfields

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

» Numbers bn ±(b-1)
   Summarizes efforts to factorize or to prove primality of integers.
   http://www.staff.amu.edu.pl/~florek/pnq/

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

» 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.
   http://www.chalcedon.demon.co.uk/rgep/carpsp.html

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

» The First 100,000 Prime Numbers
   A Project Gutenberg etext.
   http://digital.library.upenn.edu/webbin/gutbook/lookup?num=65

» The First 498 Bernoulli Numbers
   A Project Gutenberg etext.
   http://digital.library.upenn.edu/webbin/gutbook/lookup?num=2586

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

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

» The Value of Zeta(3) to 1,000,000 Decimal Digits
   A Project Gutenberg etext.
   http://digital.library.upenn.edu/webbin/gutbook/lookup?num=2583

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

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