Directory
Directory Help
Search only in Tables
Search the Web
Tables
Science
>
Math
>
Number Theory
> Tables
Go to Directory Home
Categories
Elliptic Curves and Modular Forms
(20)
Factoring
(13)
Related Category:
Science > Math > Reference > Tables
(9)
Web Pages
View in Google PageRank order
Viewing in alphabetical order
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.
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.
Carmichael Numbers and Lehmer's Problem
-
http://home.no.net/zamunda/carmichael.txt
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
-
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.
Factorization Tables
-
http://www-staff.maths.uts.edu.au/~rons/fact/fact.htm
Tables of the factorization of sigma(n).
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.
Multiply Perfect Numbers
-
ftp://ftp.cs.arizona.edu/xkernel/rcs/mpfn.html
Over 2000 multiperfect numbers sorted by numerical value and by factorisation.
Number Field Tables
-
ftp://megrez.math.u-bordeaux.fr/pub/numberfields
FTP site at the University of Bordeaux. Fields of degree up to 7.
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.
Table of Masses of 32-dimensional Even Unimodular Lattices
-
http://www.csua.berkeley.edu/~ok/rootmass.txt.gz
With any given root system. Oliver King.
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.
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 First 28,915 Odd Primes
-
http://www.newdream.net/~sage/old/numbers/primeodd.htm
Tabulated using a simple C program.
The First 498 Bernoulli Numbers
-
http://digital.library.upenn.edu/webbin/gutbook/lookup?num=2586
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.
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.
Help build the largest human-edited directory on the web.
Submit a Site
-
Open Directory Project
-
Become an Editor
Modified by Google - ©2008 Google
Advertise with Us
-
Jobs, Press, Cool Stuff...