by Simon Black
In 1894, a retired university professor named Paul Bachman was living out his golden years in Weimar, Germany.
Recently divorced, Bachman filled his days writing books, including what would become a five volume series… about analytical number theory.
It wasn’t exactly a James Bond novel; number theorists study things like prime numbers, infinity, and the fundamental properties of arithmetic.
Here’s a simple number theory example to give you a basic idea: prove that the sum of the first n integers (i.e. 1+2+3+4 . . . + n) is equal to (n2 + n)/2.
Number theory is full of seemingly elementary concepts which can turn out to be incredibly vexing… and much more complex than they initially appear. And the field has been applied widely in modern technology.