| Directory > Science > Math > Number Theory > Tables 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/
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Carmichael Numbers and Lehmer's Problem
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.
http://home.no.net/zamunda/carmichael.txt
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Cubic Field Extensions
Tables and results on cubic number fields by Daniel A. Mayer.
http://www.algebra.at/CubicNumberFields.htm
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Index Form Equations and Power Integral Bases in Algebraic Number Fields
Lists of results, description of algorithms and tables of numerical data, by István Gaál.
http://www.math.klte.hu/~igaal/power.html
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Practical Numbers
A number is practical if all smaller numbers are sums of distinct divisors. Tables compiled by
Guiseppe Melfi.
http://www.unine.ch/statistics/melfi/pratica.html
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Genus-2 Curves with Small Odd Discriminant
FTP site by Michael Stoll.
http://reh.math.uni-duesseldorf.de/~stoll/data/
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Imaginary Quadratic Fields
Tables of the fields with class number at most 23.
http://www.numbertheory.org/classnos/
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Carmichael and Perrin
The 150 Carmichael numbers out of 246683 up to 10^16 that are Perrin pseudoprimes.
http://www.ai.univie.ac.at/carmichael.html
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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/
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Algorithmic Number Theory: Tables and Links
Compiled by Noam Elkies.
http://www.math.harvard.edu/~elkies/compnt.html
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Fermat Near-misses
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].
http://www.math.harvard.edu/~elkies/ferm.html
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Dedekind Zeta Functions
Tabulated by Eyal Goren using Pari.
http://www.math.mcgill.ca/goren/ZetaValues/zeta.html
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Table of Masses of 32-dimensional Even Unimodular Lattices
With any given root system. Oliver King.
http://www.math.berkeley.edu/~king/rootmass.txt
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Database for Polynomials over the Rationals
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.
http://www.iwr.uni-heidelberg.de/groups/compalg/minimum/minimum.html
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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
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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 represents a 99 % confidence level.
http://www.trnicely.net/twins/twins2.html
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Factorization Tables
Tables of the factorization of sigma(n).
http://www-staff.maths.uts.edu.au/~rons/fact/fact.htm
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Bernoulli Computations
Irregular primes and relative class numbers. Irregular pairs (and Vandiver and cyclotomic
residues) for primes up to 8 million. Compiled by Amin Shokrollahi.
http://www.shokrollahi.com/amin/TAB.html
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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
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The First 498 Bernoulli Numbers
A Project Gutenberg etext.
http://digital.library.upenn.edu/webbin/gutbook/lookup?num=2586
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The First 100,000 Prime Numbers
A Project Gutenberg etext.
http://digital.library.upenn.edu/webbin/gutbook/lookup?num=65
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Multiply Perfect Numbers
Over 2000 multiperfect numbers sorted by numerical value and by factorisation.
ftp://ftp.cs.arizona.edu/xkernel/rcs/mpfn.html
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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
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The First 28,915 Odd Primes
Tabulated using a simple C program.
http://www.newdream.net/~sage/old/numbers/primeodd.htm
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Pseudoprimes and Carmichael Numbers
Tables of the Fermat pseudoprimes base 2 up to 10^13 and Carmichael numbers up to 10^16.
http://www.chalcedon.demon.co.uk/carpsp.html
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Number Field Tables
FTP site at the University of Bordeaux. Fields of degree up to 7.
ftp://megrez.math.u-bordeaux.fr/pub/numberfields
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Curves of Genus 2
FTP site maintained by Victor Flynn. Formulae for Jacobian arithmetic and Maple algorithms.
ftp://ftp.liv.ac.uk/pub/genus2/
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Fermat Quotients Divisible by 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.
http://www.informatik.uni-giessen.de/staff/richstein/cnth/FermatQuotient.html
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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/
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Tables of Primes
Primes to 19 million; twin primes to 394 million; quadruple primes to 500 million.
http://mathematical.com/primetables.html
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