### Easy as 1, 2, 3?

Updated: 2014-04-16 16:55:22

Skip to Navigation about Plus Plus sponsors subscribe to Plus terms of use Search this site : Easy as 1, 2, 3 by Marianne Freiberger Submitted by mf344 on April 16, 2014 in arithmetic progression BMC2014 number theory The natural numbers , 1, 2, 3, 4, are nice . We all understand them and we use them countless times every day . So what could be nicer than discovering interesting patterns within them What secrets do the natural numbers hold Endre Szemerédi one of the main speakers at this year's British Mathematical Colloquium BMC and winner of the 2012 Abel prize is interested in the simplest kind of pattern you can find within a collection of natural numbers : sequences of numbers that are all evenly spaced , with successive numbers all having the same distance between them . Examples are