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Algorithmic Number Theory: Tables and Links open in new window
Compiled by Noam Elkies.
(http://www.math.harvard.edu/~elkies/compnt.html)

Bernoulli Computations open in new window
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)

Carmichael and Perrin open in new window
The 150 Carmichael numbers out of 246683 up to 10^16 that are Perrin pseudoprimes.
(http://www.ai.univie.ac.at/carmichael.html)

Carmichael Numbers and Lehmer's Problem open in new window
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)

Cubic Field Extensions open in new window
Tables and results on cubic number fields by Daniel A. Mayer.
(http://www.algebra.at/CubicNumberFields.htm)

Curves of Genus 2 open in new window
FTP site maintained by Victor Flynn. Formulae for Jacobian arithmetic and Maple algorithms.
(ftp://ftp.liv.ac.uk/pub/genus2/)

Database for Polynomials over the Rationals open in new window
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/mini)

Dedekind Zeta Functions open in new window
Tabulated by Eyal Goren using Pari.
(http://www.math.mcgill.ca/goren/ZetaValues/zeta.html)

Enumeration of Twin Primes and Brun's Constant open in new window
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)

Extended Counts of Twin Primes open in new window
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)

Factorization Tables open in new window
Tables of the factorization of sigma(n).
(http://www-staff.maths.uts.edu.au/~rons/fact/fact.htm)

Fermat Near-misses open in new window
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)

Fermat Quotients Divisible by p open in new window
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/Fe)

Genus-2 Curves with Small Odd Discriminant open in new window
FTP site by Michael Stoll.
(http://reh.math.uni-duesseldorf.de/~stoll/data/)

Imaginary Quadratic Fields open in new window
Tables of the fields with class number at most 23.
(http://www.numbertheory.org/classnos/)

Index Form Equations and Power Integral Bases in Algebraic Number Fields open in new window
Lists of results, description of algorithms and tables of numerical data, by István Gaál.
(http://www.math.klte.hu/~igaal/power.html)

Multiply Perfect Numbers open in new window
Over 2000 multiperfect numbers sorted by numerical value and by factorisation.
(ftp://ftp.cs.arizona.edu/xkernel/rcs/mpfn.html)

Number Field Tables open in new window
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 open in new window
Number fields of degree up to seven ramified at only a few small primes.
(http://math.la.asu.edu/~jj/numberfields/)

Practical Numbers open in new window
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)

Pseudoprimes and Carmichael Numbers open in new window
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)

Table of Masses of 32-dimensional Even Unimodular Lattices open in new window
With any given root system. Oliver King.
(http://www.math.berkeley.edu/~king/rootmass.txt)

Tables of Primes open in new window
Primes to 19 million; twin primes to 394 million; quadruple primes to 500 million.
(http://mathematical.com/primetables.html)

The First 100,000 Prime Numbers open in new window
A Project Gutenberg etext.
(http://digital.library.upenn.edu/webbin/gutbook/lookup?num=6)

The First 28,915 Odd Primes open in new window
Tabulated using a simple C program.
(http://www.newdream.net/~sage/old/numbers/primeodd.htm)

The First 498 Bernoulli Numbers open in new window
A Project Gutenberg etext.
(http://digital.library.upenn.edu/webbin/gutbook/lookup?num=2)

The Value of Zeta(3) to 1,000,000 Decimal Digits open in new window
A Project Gutenberg etext.
(http://digital.library.upenn.edu/webbin/gutbook/lookup?num=2)

Vanishing Fermat Quotients open in new window
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 open in new window
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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