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…