Azer Akhmedov, NDSU

Math Club, October 17^th.

Title:  2013, 2014, 2015.

Abstract:  According to a great mathematician Ramanujan, every positive integer possesses a nice and unique property - Ramanujan was saying that "every natural number is my friend". I have read this in the year 1988 or 1989, and since then, I try to find a nice property about every newly coming year. I intentionally do not think ahead of time, thinking about the coming year only on the New Year Eve, to add more to the enjoyment of embracing a new year and to become a real friend with it. 

 On the New Year Eve of 2013, struggling to find a nice property of it, I suddenly realized that the numbers 2013, 2014 and 2015 all share a very interesting property. This simple property is quite rare, in fact there is only one n < 2013 where the triple (n, n+1, n+2) shares that same property. In the talk, I will state what that property is.

 We will be also looking at some other related facts. I will end the talk with discussing a striking (but well known) property of the number 30.