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Number Theory

• 121
• Math Archives Software
• Mac/Number Theory section.

• 122
• NTL: A Library for doing Number Theory
• A high-performance, portable C++ library providing data structures and algorithms for manipulating signed, arbitrary length integers, and for vectors, matrices, and polynomials over the integers and over finite fields.

• 123
• Number-Theoretic Hacks
• Algorithms implemented by David Eppstein.

• 124
• Schulenberg and Associates
• Factoring programs. Windows, free download.

• 125
• apfloat
• High-performance arbitrary precision arithmetic package for C++ and Java.

• 126
• cBigNumber
• Portable C++ class for integers with unlimited range, designed to be fast, functional and simple in use.

• 127
• p-adic Arithmetic
• A Mathematica package by Stany De Smedt.

• 128
• Algorithmic Number Theory: Tables and Links
• Compiled by Noam Elkies.

• 129
• 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.

• 130
• Cubic Field Extensions
• Tables and results on cubic number fields by Daniel A. Mayer.

• 131
• Dedekind Zeta Functions
• Tabulated by Eyal Goren using Pari.

• 132
• Fermat Near-misses
• Noam Elkies. Approximate solutions in integers.

• 133
• Imaginary Quadratic Fields
• Tables of the fields with class number at most 23.

• 134
• Practical Numbers
• A number is practical if all smaller numbers are sums of distinct divisors. Tables compiled by Giuseppe Melfi.

• 135
• 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.

• 136
• The First 100,000 Prime Numbers
• A Project Gutenberg etext.

• 137
• The First 498 Bernoulli Numbers
• A Project Gutenberg etext.

• 138
• The Positive Integers
• Information about the positive integers, with counts of some number-theoretic functions, maintained by Saqib Kadri.

• 139
• The Value of Zeta(3) to 1,000,000 Decimal Digits
• A Project Gutenberg etext.

• 140
• 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.