MathDB

A board has

2

4

, and

6

written on it. A person repeatedly selects (not necessarily distinct) values for

x

y

, and

z

from the board, and writes down

xyz+xy+yz+zx+x+y+z

if and only if that number is not yet on the board and is also less than or equal to

2013

. This person repeats this process until no more numbers can be written. How many numbers will be written at the end of the process?

Problem Statement