Compiled by Noam Elkies.

Lists of results, description of algorithms and tables of numerical data, by István Gaál.

Irregular primes and relative class numbers. Irregular pairs (and Vandiver and cyclotomic residues) for primes up to 8 million. Compiled by Amin Shokrollahi.

The 150 Carmichael numbers out of 246683 up to 10^16 that are Perrin pseudoprimes.

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.

Tables and results on cubic number fields by Daniel A. Mayer.

FTP site maintained by Victor Flynn. Formulae for Jacobian arithmetic and Maple algorithms.

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.

By John W. Jones and David P. Roberts. Tables of low degree extensions of Qp, for small p.

Tabulated by Eyal Goren using Pari.

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.

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.

Tables of the factorization of sigma(n).

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].

Wilfrid Keller and Jörg Richstein. A complete list of solutions (a, p) for odd prime bases a &lt; 1000 and primes p &lt; 10^11: for the single base a = 5 the larger interval p &lt; 2^38.

FTP site by Michael Stoll, with MAGMA code.

Tables of the fields with class number at most 23.

Over 2000 multiperfect numbers sorted by numerical value and by factorisation.

FTP site at the University of Bordeaux. Fields of degree up to 7.

Number fields of degree up to seven ramified at only a few small primes.

A number is practical if all smaller numbers are sums of distinct divisors. Tables compiled by Guiseppe Melfi.

Tables of the Fermat pseudoprimes base 2 up to 10^13 and Carmichael numbers up to 10^17 compiled by Richard Pinch.

Browsable interfaces to tables and computations on elliptic curves, quadratic forms, and modular forms.

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.

Primes to 19 million; twin primes to 394 million; quadruple primes to 500 million.

A Project Gutenberg etext.

Tabulated using a simple C program.

A Project Gutenberg etext.

Information about the positive integers, with counts of some number-theoretic functions, maintained by Saqib Kadri.

A Project Gutenberg etext.

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 &lt; k &lt; p.

By Andrew Odlyzko. The first 100,000 to 8 places, the first 1000 to 1000 places.