Problem / game
First name
Reyansh
School
Garden International School
School's Twitter handle
@gisheadofmaths
Country
Age
11
The problem asks for sets of ten consecutive numbers where the n-th number is a multiple of n. The conditions for the starting number of such a sequence repeat every 2520 numbers, which is the Least Common Multiple (LCM) of 1,2,3,4 … 10.
As the numbers 1 through 10 satisfy the conditions, we can find infinite possibilities as the sequence repeat 2520 numbers a few sets can be:
And so on.