Number Theory
Dave Rusin's guide to number theory.

On-Line Encyclopedia of Integer Sequences
Given an integer sequence, find its name, and formula.

Three Years of Computing
Palindrome Quest. Reporting computations on the 196 problem.

Visible Structures in Number Theory
By Peter Borwein and Loki Jörgenson. Recognising number patterns visually.

Integer Relations
To determine linear integer dependence among numerical constants and to determine the minimal polynomial of an approximate algebraic number. Interactive or via email.

The Somos Sequence Site
Web resources for information on Somos sequences and related topics such as elliptic divisibility sequences.

The Arithmetic Properties of Binomial Coefficients
Activated text by Andrew Granville.

Lehmer's Conjecture
That the Mahler measure of an algebraic number is bounded away from 1. Pages by Michael Mossinghoff, UCLA.

The Work of Robert Langlands
Thesis, papers, manuscripts, letters and bibliography.

Vignettes on Automorphic and Modular forms, Representations, L-functions, and Number Theory
By Paul Garrett.

Number Theory Glossary
Compiled by Robert Campbell.

Frequently Asked Questions
Number Theory section of the sci.math FAQ list.

Somos Polynomials
Related to Somos sequences and elliptic theta functions.

Some Number-Theoretical Constants
Products of rational functions of p over primes, computed by Gerhard Niklasch and Pieter Moree.

Square-free Gaps
Algorithm and source code for the calculation of square-free numbers and gaps.

L-Functions
Classified by degree, then by level, then by eigenvalue, then by root number.

The Valuation Theory Home Page
A forum for all mathematicians who work in valuation theory or apply valuation theoretical results in their own field of research.

Noncommutative Geometry, Trace Formulae and the Zeroes of the Riemann Zeta Function
Lecture notes by Alain Connes.

The Canadian Number Theory Association
A loosely defined group of individuals, mainly in Canada, active in research in Number Theory.

2^n Modulo n
Joe Crump's results on values of n with prescribed values of 2^n modulo n.

Online Seminar: Galois theory of p-Extensions
Email seminar on "Galoissche Theorie der p-Erweiterungen" by Helmut Koch.

Introduction to p-Adic Analytic Number Theory
Notes of a short course at the Mehta Research Institute by M. Ram Murty.

Wolstenholme's Theorem, Stirling Numbers, and Binomial Coefficients
A web paper by Ronald Bruck.

Fermat's Little Theorem
With notes on Carmichael numbers and the life of R.D. Carmichael.

MathPages: Number Theory
Kevin Brown's collection of sci.math postings related to number theory topics.

MathWorld Number Theory
Index to articles in Eric Weisstein's MathWorld in the area of number theory.

About Two Months of Computing
Work on the 196 palindrome problem by Tim Irvin.

Application of Digital Root
A test for the terms of a sequence being expressed by a polynomial, by Roupam Ghosh.

World Records for Numerical Palindromes
The 196 Palindrome Quest and The Most Delayed Palindromic Number, by Jason Doucette.

Klein Polyhedra
Examples and algorithms for computing Klein polyhedra, also known as Arnold sails or veils (voiles), by Keith Briggs.

Covers, Sumsets and Zero-sums
A unified approach to covering systems, restricted sumsets and zero-sum problems by Zhi-Wei Sun.

Infinite Series Theorem
Addresses the question whether a series of rational functions converges to a rational number.

Number Theory Web
Things of interest to number theorists collected by Keith Matthews.

Number Theory Foundation
Aims to collect donations from supporters of number theory and to disburse these donations to encourage research.

Hakmem Continued Fractions
Some notes from the MIT collection. Includes Gosper's algorithms for CF arithmetic.

Number Theory
Proofs along with equation solvers and graphical views written in Java.

Linear Independence Measures for Logarithms of Algebraic Numbers
Michel Waldschmidt. Cetraro summer school lectures, July 2000.

A Mechanical Proof of Quadratic Reciprocity
A paper by David M. Russinoff describing the use of the Boyer-Moore theorem prover in mechanically generating a proof of the Law of Quadratic Reciprocity. PS/PDF.

Introduction to Bernoulli Numbers
A web article with a brief history and account of their relationship with the Riemann zeta function and Fermat's Last Theorem (HTML/PS).

Transcendental Numbers
Maple worksheets, lecture notes and links to other resources by John Cosgrove.

Other Maths
A wide selection of number theory topics compiled by Jon Perry.