Number Theory Links

• Programs
  • Proth.Exe - Find large primes, particularly of the form k*2^n +/- 1
  • Factor.Exe - DOS program for factoring numbers around 80-digits.
  • GmpFactor.Exe - Another DOS program for factoring numbers.
  • ECM client/server - Client/Server apps to find large factors with ECM.
  
  
• Libraries
  • NTL - A Library for doing Number Theory
  • BigNum - Libraries for arithmetic, along with various information
  • Miracl - Library for number theory, and various programs. Factor.exe was built with this library.
  
  
• Projects
  • 2^(2^k)+1 - Status of Fermat number factorizations
  • Equal Sums - Search for Equal Sums of Like Powers
  • ECMNet - Finding large factors with ECM
  • Family numbers - Factorizations needed
  • Cunningham Project - Factorizations needed
  • GIMPS - Great Internet Mersenne Prime Search
  • Paul Leyland's Cullen/Woodall project. Factorizations needed!
  
  
• Informational
  • Encyclopedia of Mathematics - Mathematician's bible. :)
  • The Prime Pages - Prime Number Research, Records, and Resources
  • Factor Tables - Factor tables for various numbers (e.g. Cullen, Woodall, Mersenne, Factorial, Fibonacci)
  • More Factor Tables - More Factor tables, especially a^n+-1
  
  
• Miscellaneous
  • EIS - Online Encyclopedia of Integer Sequences
  • Plouffe's Inverter - Symbolic Lookup of Real Numbers
  • Unsolved Problems - A list of some unsolved problems
  • Things of interest to Number Theorists - Excellent resource!!!
  • RSA Factoring Challenge list. - Win $200,000, albeit the hard way!