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the entire directory
only in Number_Theory/Tables
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Science
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Math
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Number Theory
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Tables
(21)
Elliptic Curves and Modular Forms
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(14)
Factoring
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Science: Math: Reference: Tables
(4)
Algorithmic Number Theory: Tables and Links
 Compiled by Noam Elkies.
Algorithms for Solving Index Form Equations and Computing Power Integral Bases
 Lists of results, description of algorithms and tables of numerical data, by István Gaál.
Cubic Field Extensions
 Tables and results on cubic number fields by Daniel A. Mayer.
A Database for Number Fields
 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.
Dedekind Zeta Functions
 Tabulated by Eyal Goren using Pari.
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 Nearmisses
 Noam Elkies. Approximate solutions in integers.
The First 100,000 Prime Numbers
 A Project Gutenberg etext.
The First 498 Bernoulli Numbers
 A Project Gutenberg etext.
Imaginary Quadratic Fields
 Tables of the fields with class number at most 23.
The Mathematical Foundation: Publications
 Primes and various other tables available on DVD or CD. Free copies available for donation to some institutions.
Number Fields with Prescribed Ramification
 Number fields of degree up to seven ramified at only a few small primes.
The Positive Integers
 Information about the positive integers, with counts of some numbertheoretic functions, maintained by Saqib Kadri.
Practical Numbers
 A number is practical if all smaller numbers are sums of distinct divisors. Tables compiled by Giuseppe 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.
The Value of Zeta(3) to 1,000,000 Decimal Digits
 A Project Gutenberg etext.
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.
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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Last update: July 15, 2012 at 6:05:06 UTC 
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