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Aliquot
Aliquot- Sequences with initial term up to 10,000, by Christophe Clavier. ...
Perfect Number - from MathWorld
Perfect Number - from MathWorld- Definitions and references. ...
Aliquot Sequences
Aliquot Sequences- Aliquot sequences arise in iterating the sum-of-divisors function s. Bosma has calculated tables up to start value 50,000 and 80 digits. ...
Aliquot Sequences
Aliquot Sequences- Statistics by Wolfgang Creyaufmueller, including many tables and links to factoring sites and software. ...
Factors
Factors- Lists the factors of every single number up to 600, for quick reference and as a resource for students. ...
Cunningham Project
Cunningham Project- Current status of the project to factor numbers of the form b^n +/- 1, b = 2, 3, 5, 6, 7, 10, 11, and 12. Maintained by Samuel S. Wagstaff, jr. ...
Factorization of Cyclotomic Numbers
Factorization of Cyclotomic Numbers- Hisanori Mishima is coordinating the search and producing tables of factorizations of cyclotomic numbers for values of phi(n) less than 48. ...
Factorization Results
Factorization Results- Tables, summaries, and links to many factoring endeavors, including primorials, factorials, and cyclotomic polynomials. Includes theorems and descriptions behind each project. ...
Brilliant Numbers
Brilliant Numbers- Tables of maximal and minimal numbers with two, three or four prime factors of the same length (in decimal notation). ...
Factors of Modified Fermat Numbers
Factors of Modified Fermat Numbers- Factors of numbers of the form 4^(3^n)+2^(3^n)+1 and 4^(3^n)-2^(3^n)+1. ...
Factors of Numbers near Googolplex
Factors of Numbers near Googolplex- This table includes all known prime factors of the numbers in the range 10^(10^100) to 10^(10^100)+999, including more than 57000 prime factors of googolplex + 10. ...
Factorizations of Repunit Numbers
Factorizations of Repunit Numbers- Tables available in text and compressed format. ...
The ABC Conjecture
The ABC Conjecture- Maintained by Abderrahmane Nitaj. ...
A New Extreme ABC-example
A New Extreme ABC-example- Explanation of an example with quality 1.920859, found by Benne de Weger and Niklas Broberg. ...
Introduction to the ABC Conjecture
Introduction to the ABC Conjecture- Slides by Barry Mazur. ...
MathWorld: Catalan's Conjecture
MathWorld: Catalan's Conjecture- Features an explanation of the equation and offers bibliographic references. ...
Catalan's Problem
Catalan's Problem- Entry in the Prime Glossary with description, brief history and references. ...
Wikipedia: Catalan's Conjecture
Wikipedia: Catalan's Conjecture- Brief article offers a description of the problem and features links. ...
MathWorld News: Draft Proof of Catalan's Conjecture Circulated
MathWorld News: Draft Proof of Catalan's Conjecture Circulated- News brief announcing the break through that provides a history and description of the equation. ...
About Two Months of Computing
About Two Months of Computing- Work on the 196 palindrome problem by Tim Irvin. ...
Differences Between Powers
Differences Between Powers- Article describes how certain special cases of the Catalan conjecture can be proven by very simple arguments. ...
The Structure of the 3x + 1 Function
The Structure of the 3x + 1 Function- Papers by Peter Schorer describing several new approaches. ...
Collatz 3n+1 Problem Structure
Collatz 3n+1 Problem Structure- Observations posted by Ken Conrow to stimulate further research. ...
Collatz Problem
Collatz Problem- From Eric Weissten's World of Mathematics. Article with references and links. ...
The 3x+1 Problem Conference Proceedings
The 3x+1 Problem Conference Proceedings- Katholische Universität Eichstätt, Germany; 5--6 August 1999. On-line proceedings and group photo. ...
Computational Verification of the 3x+1 Conjecture
Computational Verification of the 3x+1 Conjecture- Results up to 2^60 by Tomás Oliveira e Silva. ...
The 3x+1 Problem Annotated Bibliography
The 3x+1 Problem Annotated Bibliography- By Jeffrey Lagarias, 1997. ...
The Collatz 3n+1 Conjecture is Unprovable
The Collatz 3n+1 Conjecture is Unprovable- A paper by Craig Alan Feinstein arguing that the Collatz Conjecture cannot be formally proved. ...
An Image from the Collatz Problem
An Image from the Collatz Problem- By Andrew Shapira. The intensity of a point denotes the time taken to terminate. ...
The Generalised 3x+1 Problem
The Generalised 3x+1 Problem- A survey by Keith Matthews. ...
Banks, William
Banks, William- University of Missouri. Contact information and curriculum vitae. ...
The Collatz Problem, data and models
The Collatz Problem, data and models- Properties and predictive models for the Collatz Problem and related functions. ...
Mathematical Mysteries
Mathematical Mysteries- A brief popular article with an applet generating solutions. ...
Christian Goldbach
Christian Goldbach- Biography, with links to other Goldbach resources. ...
Goldbach Conjecture
Goldbach Conjecture- Article from MathWorld. ...
Proof of the Twin Primes Conjecture
Proof of the Twin Primes Conjecture- Goldbach's Conjecture proves and extends the Twin Primes Conjecture as probable. ...
The Goldbach Conjecture
The Goldbach Conjecture- From the Primes Glossary. Historical references and links. ...
XGC
XGC- An eXtension of the Goldbach Conjecture. Mathematica code. ...
Goldbach Conjecture Verification
Goldbach Conjecture Verification- Computational results up to 3.10^17 and graphics by Tomás Oliveira e Silva. ...
Three Years of Computing
Three Years of Computing- Palindrome Quest. Reporting computations on the 196 problem. ...
Adleman, Leonard
Adleman, Leonard- University of Southern California. Number theory and Cryptography. Research papers, pictures, curriculum vitae. ...
Anderson, Greg
Anderson, Greg- University of Minnesota. Number theory. Publications and links. ...
Agboola, Adebisi
Agboola, Adebisi- University of California at Santa Barbara. Number theory and arithmetic geometry. Research papers and seminar information. ...
Armitage, Vernon
Armitage, Vernon- University of Durham. Number theory. Elliptic functions problems sheets and solutions. ...
Andrews, George
Andrews, George- Pennsytlvania State University. Theory of partitions. Publications, preprints, curriculum vitae. ...
Apostol, Tom
Apostol, Tom- California Institute of Technology. Analytic number theory. Recent publications. ...
Alaca, Saban
Alaca, Saban- Carleton University. Algebraic number fields and elliptic curves. Publications, course information, and links. ...
Akbary, Amir
Akbary, Amir- University of Lethbridge, Alberta. Number Theory, L-Functions, Modular Forms, Elliptic Curves. Papers, thesis. ...
Aitken, Wayne
Aitken, Wayne- California State University, San Marcos. Algebraic and geometric number theory. Research and publications. ...
Achter, Jeff
Achter, Jeff- Colorado State University, USA. Arithmetic geometry. Research papers and course information. ...
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