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.
Carmichael and Perrin The 150 Carmichael numbers out of 246683 up to 10^16 that are Perrin pseudoprimes.
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.
Curves of Genus 2 FTP site maintained by Victor Flynn. Formulae for Jacobian arithmetic and Maple algorithms.
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.
Database of Local Fields By John W. Jones and David P. Roberts. Tables of low degree extensions of Qp, for small p.
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.
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.
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].
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.
Practical Numbers A number is practical if all smaller numbers are sums of distinct divisors. Tables compiled by Guiseppe Melfi.
Pseudoprimes and Carmichael Numbers Tables of the Fermat pseudoprimes base 2 up to 10^13 and Carmichael numbers up to 10^17 compiled by Richard Pinch.
Tables and Computations Browsable interfaces to tables and computations on elliptic curves, quadratic forms, and modular forms.
Tables of Number Fields 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.
Tables of Primes Primes to 19 million; twin primes to 394 million; quadruple primes to 500 million.
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.
