Tables Number Theory Math

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 re

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• Number Field Tables - FTP site at the University of Bordeaux. tables Fields of number theory degree up to 7.
• 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.
• The Value of Zeta(3) to 1,000,000 Decimal Digits - A Project Gutenberg etext.
• The First 498 Bernoulli Numbers - A Project Gutenberg etext.
• The Positive Integers - Information about the positive integers, with counts of tables some number-theoretic functions, maintained by Saqib Kadri.
• Table of Masses of 32-dimensional Even Unimodular Lattices - With any given root system. Oliver King.
• Dedekind Zeta Functions - Tabulated by Eyal Goren using Pari.
• A Database for Number Fields - By Jürgen Klüners and Gunter Malle. Polynomials math for all transitive groups up to degree 15, math for most of the possible combinations of signature math and Galois group. Up to degree 7 the math fields with minimal (absolute) discriminant with given Galois math group and s
• Algorithms for Solving Index Form Equations and Computing Power Integral Bases - Lists of results, description of algorithms and tables tables of numerical tables data, by István Gaál.
• Practical Numbers - A number is practical if all smaller numbers are sums of distinct divisors. Tables compiled by Giuseppe Melfi.
• Cubic Field Extensions - Tables and results on cubic number fields by Daniel A. tables Mayer.
• Zeroes of the Riemann Zeta Function - By Andrew Odlyzko. The first 100,000 to tables 8 places, number theory the first 1000 to 1000 places.
• Enumeration of Twin Primes and Brun's Constant - Enumeration of the twin primes, and the sum of their tables reciprocals, to 1.6 × 10^15. An improved estimate is obtained tables for Brun\\'s constant, B2 = 1.90216 05824 ± 0.00000 00030. tables Error analysis is presented to support the opinion that the tables stated error bound re
• Database of Local Fields - By John W. Jones and David P. Roberts. number theory Tables of low degree extensions of Qp, number theory for small p.
• Algorithmic Number Theory: Tables and Links - Compiled by Noam Elkies.
• Multiply Perfect Numbers - Over 2000 multiperfect numbers sorted by numerical value and by number theory factorisation.
• Tables of Number Fields - Hilbert class field of totally real fields of number theory degree 2, 3 and 4; Totally real fields number theory with small root discriminant; Totally real quintic dihedral number theory fields. By Xavier-François Roblot.
• Number Fields with Prescribed Ramification - Number fields of degree up to seven ramified at only a few small primes.
• The First 100,000 Prime Numbers - A Project Gutenberg etext.
• Pseudoprimes and Carmichael Numbers - Tables of the Fermat pseudoprimes base 2 up math to 10^13 number theory and Carmichael numbers up to 10^17 math compiled by Richard Pinch.
• Imaginary Quadratic Fields - Tables of the fields with class number at tables most 23.
• Fermat Near-misses - Noam Elkies. Approximate solutions in integers.
• 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.
• Tables and Computations - Browsable interfaces to tables and computations on elliptic curves, quadratic math forms, and modular forms.
• The First 28,915 Odd Primes - Tabulated using a simple C program.

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