Tag: Hilbert’s tenth problem

Failing software – again
The line above is from a real (and current at timeofposting) job advertisement for a software developer. I’m not positing it because I think it is bad, shocking or dangerous, but mainly because it is illustrative of the real world: developers are expected to be “pragmatic” when it comes to testing the software they make […]

The Erdős–Straus conjecture
I came across this as a result of links to stories about Hilbert’s tenth problem, and it looks fun, so I thought I’d write a little about it. The Erdős–Straus conjecture is that for any integer then where , , and are positive integers. This is equivalent to a diophantine equation: Which is, apparently, trivially […]

Diophantine sets and the integers
This is not some great revelation, but it interested me, so might interest some readers (I got it from The Honors Class: Hilbert’s Problems and Their Solvers). A diophantine equation is one of the form and a diophantine set is a set of numbers to solve a diophantine equation (Hilbert’s 10th problem was to find […]