All kinds of mathematics
remind me of you
Lisbon, 24-27 July 2017
Conference poster

Peter Cameron's homepage

Welcome to my St Andrews homepage. Under construction This page is under construction (and probably always will be!)

I am a half-time Professor in the School of Mathematics and Statistics at the University of St Andrews, and an Emeritus Professor of Mathematics at Queen Mary, University of London.

About me

On this site



School of Mathematics and Statistics
University of St Andrews
North Haugh
St Andrews, Fife KY16 9SS
Tel.: +44 (0)1334 463769
Fax: +44 (0)1334 46 3748
Email: pjc20(at)st-arthurs(dot)ac(dot)uk
  [oops – wrong saint!]

Page revised 19 April 2017

A problem

A set S of natural numbers is sum-free if it contains no solution {x,y,z} to x+y = z.

We can choose a random sum-free set as follows: Consider the natural numbers in turn. When considering n, if n is the sum of two members of S, then n is not in S; otherwise decide whether to put n in S by tossing a fair coin.

A little is known, but much is not. Let S be a random sum-free set.

Old problems are kept here.