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Number Fields with Prescribed Ramification  Number fields of degree up to seven ramified at only a few small primes. 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. Curves of Genus 2  FTP site maintained by Victor Flynn. Formulae for Jacobian arithmetic and Maple algorithms. Number Field Tables  FTP site at the University of Bordeaux. Fields of degree up to 7. Pseudoprimes and Carmichael Numbers  Tables of the Fermat pseudoprimes base 2 up to 10^13 and Carmichael numbers up to 10^16. The First 28,915 Odd Primes  Tabulated using a simple C program. 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. Multiply Perfect Numbers  Over 2000 multiperfect numbers sorted by numerical value and by factorisation. The First 100,000 Prime Numbers  A Project Gutenberg etext. The First 498 Bernoulli Numbers  A Project Gutenberg etext. The Value of Zeta(3) to 1,000,000 Decimal Digits  A Project Gutenberg etext. 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. Factorization Tables  Tables of the factorization of sigma(n). 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. Vanishing Fermat Quotients  R. Ernvall and T. Metsänkylä. Tables of the pairs (p,k) such that the Fermat quotient q(k) = (k^{p1}1)/p vanishes mod p. The tables cover the primes p up to one million and, for each prime, the range 1 < k < p. 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. Table of Masses of 32dimensional Even Unimodular Lattices  With any given root system. Oliver King. 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. Dedekind Zeta Functions  Tabulated by Eyal Goren using Pari. Fermat Nearmisses  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]. Algorithmic Number Theory: Tables and Links  Compiled by Noam Elkies. Solutions to Mordell's Equation  Solutions to Y^2 = X^3 + k with k up to 10,000 in absolute value. Carmichael Numbers and Lehmer's Problem  Carmichael numbers n up to 10^9 together with phi(n), (n1)/phi(n) and the factorization of n. Zeroes of the Riemann Zeta Function  By Andrew Odlyzko. The first 100,000 to 8 places, the first 1000 to 1000 places.

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