Review of Mathematical Background
Gödel's Completeness Theorem
Wikipedia’s page
Gödel's Incompleteness Theorem
Gödel's paper,
“On Formally Undecidable Propositions in Principia Mathematica and Related Systems I”
, originally published in German in 1931. This translation by Martin Hirzel published in 2000.
Warshall’s Algorithm
One straightforward presentation, including C code
Proof Techniques
Mersenne Numbers
Mathworld’s page on Mersenne numbers
The Great Internet Mersenne Prime Search