colloquium.mws

• A dedication
• Title of talk and abstract
• A very, very brief review of some standard results/concepts from classic elementary number theory
• D.J. Struik's 'Give us something to take home'. I'd like to give you 46817
• Wilson's theorem, and Lagrange's elementary (but important) extension
  • Wilson's theorem
  • Lagrange's (elementary) extension of Wilson's theorem
• Imported abstract from my Trinity College Dublin, Feb 9th 2005, Jacobi primes talk
• Along with the Jacobi results (proved by Andrew Granville)... and what I really want to tell you about today...
• Gauss' generalisation of Wilson's theorem, and what I wrongly thought would be a small footnote...
• 46817. How true is D.H. Lehmer's remark: Happiness is just around the corner...
• Higher level Gauss-4 primes
• Six tables (Gauss 4 order 1, etc)
• Fermat numbers appendix