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Elliptic Curves and Modular Forms (19)
Factoring (11)
Web Pages
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  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.
  Algorithmic Number Theory: Tables and Links http://www.math.harvard.edu/~elkies/compnt.html
Compiled by Noam Elkies.
  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.
  Fermat Near-misses http://www.math.harvard.edu/~elkies/ferm.html
Noam Elkies. Approximate solutions in integers.
  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.
  Dedekind Zeta Functions http://www.math.mcgill.ca/goren/ZetaValues/zeta.html
Tabulated by Eyal Goren using Pari.
  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.
  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.
  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.
  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.
  Imaginary Quadratic Fields http://www.numbertheory.org/classnos/
Tables of the fields with class number at most 23.
  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.
  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.
  Tables of Number Fields http://igd.univ-lyon1.fr/~roblot/tables.html
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 First 100,000 Prime Numbers http://digital.library.upenn.edu/webbin/gutbook/lookup?num=65
A Project Gutenberg etext.
  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.
  The Positive Integers http://www.positiveintegers.org/
Information about the positive integers, with counts of some number-theoretic functions, maintained by Saqib Kadri.
  A Database for Number Fields http://www.math.uni-duesseldorf.de/~klueners/minimum/
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.
  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.
  Number Field Tables ftp://megrez.math.u-bordeaux.fr/pub/numberfields
FTP site at the University of Bordeaux. Fields of degree up to 7.
  The First 498 Bernoulli Numbers http://digital.library.upenn.edu/webbin/gutbook/lookup?num=2586
A Project Gutenberg etext.
  Multiply Perfect Numbers ftp://ftp.cs.arizona.edu/xkernel/rcs/mpfn.html
Over 2000 multiperfect numbers sorted by numerical value and by factorisation.

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