# Tag Archives: number-theory

## Sum of the first factorials a perfect power?

Consider the following sum: $$F(n) = 1! + 2! + 3! + \cdots + n!$$ Can this sum ever be a perfect power? A perfect power here is defined as $x^n$ for some natural number $x$ and some natural number $n\geq 2$. Some observations immediately come to mind: $F(1) = 1$, and that’s trivially a […]

## Montreal Spring ’13 Conferences: Number Theory and Algebra

This is a fairly recent picture of the McGill campus: However, soon the spell of unbearable heat will dawn on the city and there will be plenty of fun things to do outside. Despite the hot sun we shouldn’t neglect the indoor activities, such as the many awesome conferences and workshops that will be going […]