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DMOZ Internet Directory
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Science
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Number Theory
Tables
20 Sites
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Number Fields with Prescribed Ramification
- Number fields of degree up to seven ramified at only a few small primes.
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.
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.
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^{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.
Dedekind Zeta Functions
- Tabulated by Eyal Goren using Pari.
Fermat Near-misses
- Noam Elkies. Approximate solutions in integers.
Algorithmic Number Theory: Tables and Links
- Compiled by Noam Elkies.
Zeroes of the Riemann Zeta Function
- By Andrew Odlyzko. The first 100,000 to 8 places, the first 1000 to 1000 places.
Imaginary Quadratic Fields
- Tables of the fields with class number at most 23.
Cubic Field Extensions
- Tables and results on cubic number fields by Daniel A. Mayer.
Tables and Computations
- Browsable interfaces to tables and computations on elliptic curves, quadratic forms, and modular forms.
Database of Local Fields
- By John W. Jones and David P. Roberts. Tables of low degree extensions of Qp, for small p.
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.
The Positive Integers
- Information about the positive integers, with counts of some number-theoretic functions, maintained by Saqib Kadri.
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.
Practical Numbers
- A number is practical if all smaller numbers are sums of distinct divisors. Tables compiled by Giuseppe Melfi.
The Mathematical Foundation: Publications
- Primes and various other tables available on DVD or CD. Free copies available for donation to some institutions.
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