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Surf these sites:
 Algebraic Number Theory Archive -- Number theory/arithmetic geometry. (~200 articles)
Algorithm design manual -- chapter on number theoretic algorithms
Algorithmic Number Theory - Bibliography -- the BibTeX files for the book Algorithmic Number Theory by Eric Bach and Jeffrey Shallit.
An Introduction to Analytic Number Theory -- Lecture notes by Ilan Vardi, IHES, December 1998
Analytic Number Theory -- Lecture Notes by Noam Elkies, Harvard, 1998
Archives of Number Theory List -- Archives of postings to the Number Theory mailing list (NMBRTHRY)
Arithmetic Algebraic Geometry -- A European network of 12 working groups from 5 countries
Basic Library List in Number Theory -- compiled by the MAA
Basics of Computational Number Theory -- Notes and Javascript illustrations by Robert Campbell
Binary Cubic Forms and Cubic Number Fields -- an activated text by Henri Cohen
Complete Analysis of the Binary GCD Algorithm -- Lecture notes by Brigitte Vallée, Université de Caen, April, 1998
Cyclotomic Fields Virtual Study Group -- A group of people studying L. Washington : `Introduction to cyclotomic fields'', Graduate Texts in Mathematics 83, Springer Verlag.
Discovering Number Theory -- A web-based course
Elementary Number Theory -- Lecture notes by Michael Filaseta, 1997
Euler systems -- Lectures by Karl Rubin, Stanford, 1997.
Fermat quotients divisible by p -- Wilfrid Keller and Jörg Richstein
Frequently Asked Questions -- Number Theory section of the sci.math FAQ list
Galois fields -- Tables and software for calculations with finite fields and polynomials over them.
History of Arithmetic and Number Theory -- a bibliography
Implementations of extended LLL -- links and notes by Wilberd van der Kallen
Introduction to Number Theory -- Lecture notes by X.-D. Jia, Southwest Texas State, 1996
K-theory Preprint Archive -- K-theory (generalized cohomology theories). (~400 articles)
L-Functions -- classified first by degree, then by level, then by eigenvalue, then by root number.
Lecture notes by John Cosgrave -- courses in Number Theory at St Patrick''s College Dublin
Lehmer''s Conjecture -- That the Mahler measure of an algebraic number is bounded away from 1. Michael Mossinghoff, UCLA
Mailing list at OneList -- (more oriented to recreational aspects than the NMBRTHRY list)
Math Front: NT Number Theory -- Front page for the number theory section of the arxiv (was Los Alamos) preprint server
MathPages: Number Theory -- Kevin Brown''s collection of sci.math postings related to number theory topics
Mathematics Archives -- topics in number theory
NFSNET -- A project to factor numbers with the Number Field Sieve.
Noncommutative geometry, trace formulae and the zeroes of the Riemann Zeta function -- Lecture notes by Alain Connes
Number Theory -- from Eric Weisstein''s World of Mathematics
Number Theory Foundation -- an organization whose aim is to collect donations from supporters of number theory and to disburse these donations to encourage research, purchase computing equipment connected with research, help sponsor appropriate conferences, and work to foster a spirit of cooperation and goodwill among the family of number theorists.
Number Theory Web -- Things of interest to number theorists collected by Keith Matthews
Number Theory Web (American site) -- American mirror of the Number Theory Web
Number Theory Web (UK site) -- UK mirror of the Number Theory Web
Number theory -- Dave Rusin''s guide to number theory.
Number theory links -- at geometry.net
On-Line Encyclopedia of Integer Sequences -- Given an integer sequence, find its name, formula, etcetera
Paul Garrett''s Crypto and Number Theory Lecture Notes -- Introduction to cryptology, number-theory, and algorithms. Protocols. Symmetric versus asymmetric systems. Stream, block ciphers. One-way functions, signatures. Key management. (Pseudo-) random number generation. Permutation groups. Primes, Euclidean algorithm. Finite fields. Quadratic reciprocity. Discrete logs, RSA. Pseudoprimes, rho method. Elliptic curve methods.
Perfectly Scientific Inc -- PSI offers software, documents, books on the subjects of: compression, wavelets, FFT, general transforms, color graphics, Monte Carlo, fractals, convolution,signal processing, matrix algebra, genetic algorithms, number theory as used in factoring, cryptography
Reciprocity Laws -- Franz Lemmermeyer''s on-line book on reciprocity laws, with bibliography and proofs of quadatric reciprocity.
Riemann''s paper -- Ueber die Anzahl der Primzahlen unter einer gegebenen Grösse, and in translation.
SECANTS -- South of England Computational and Algorithmic Number Theory Seminars
Seva Lev''s problem page -- A collection of research problems
Software and other links -- In the Number Theory Web
Tables of Bernoulli computations -- Irregular primes and relative class numbers
Tables of Number Fields with Prescribed Ramification -- Number fields of degree up to seven ramified at only a few small primes
The 3x + 1 Problem and its Generalizations -- A survey article by Jeff Lagarias on the Collatz Problem.
The 3x+1 problem search results -- Maximum number tested (N): 91ˇ2^50 = 102456891522678784.
The Arithmetic Properties of Binomial Coefficients -- an activated text by Andrew Granville
The Cunningham Project -- aims to factor the numbers b^n +- 1 for b = 2, 3, 5, 6, 7, 10, 11, 12
The Riemann Hypothesis -- at prime pages
The Riemann Hypothesis -- Papers and other links related to RH
Visible Euclidean Algorithm -- Enter two positive integers, and click the button to see the operations of the Euclidean Algorithm.

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