100 Greatest Theorems!

On his website, Nathan Kahl, a Graduate student of Steven Institute of
Technology has republished a list of the Hundred Greatest Theorems
Of All-Time in the history of mathematics. The list was originally
presented by Paul and Jack Abad in 1999 as a response to all of the Top
100 lists circulating at the end of the millenium. Their ranking is based
on the following criteria: "the place the theorem holds in the literature,
the quality of the proof, and the unexpectedness of the result."

The top five are: (i) The irrationality of the square root of two by
Pythagorus, (ii) The fundamental theorem of algebra by Gauss, (iii) The
denumerability of the rationals by Georg Cantor, (iv) Pythagorean
Theorem by Pythagoras (v) Prime Number Theorem by Jacques
Hadamard and (separately) Charles-Jean de la Vallee Poussin.