Erdős – Cantor's Archive
Discrete Mathematics
How Many Distances Must Be Made from N Points?
My most striking contribution to geometry is, no doubt, my problem on the number of distinct distances. This can be found in many of my papers on combinatorial and geometric problems. -Paul Erdős, On Some of My Favorite Theorems, 1996. Erdős is one of the greatest mathematicians from history, and
Probability Theory
The Probabilistic Method
Maybe the most interesting proof method
Prime Numbers
Erdős’ Proof of the Infinitude of Primes
Let’s take a look at an unusual proof that there are infinitely many prime numbers.
Mathematics
The Martians of Budapest
The Martians of Budapest”, sometimes referred to as simply “The Martians” is a colloquial term used to describe a group of prominent Hungarian physicists and mathematicians who emigrated to the United States following the Great Purge of 1933.
Erdős
A Theorem of Erdős and Szekeres
A Theorem by two mathematical greats, which anybody, no maths experience required, can understand! An amazing, and beautiful, result…
Ramsey Theory
Theorem on Friends and Strangers
A side step into Ramsey Theory and a big number
Prime Numbers
The Infinity of Primes
We present two proofs of one of the great theorems in number theory, namely that there are infinitely many primes.
Mathematics
Graphing Erdős and Bacon
Where are you on the networks?
Erdős
The Mathematical Nomad, Paul Erdős
Paul Erdos is to this day remembered as the man who devoted his entire life to mathematics. Living out of a suitcase traveling from university to university, throughout his life he survived off speaking fees and modest endowments from various universities.