Table with digits
Source: Moscow Math Olympiad 2017, Grade 11, P11
April 25, 2017
combinatoricsnumber theory
Problem Statement
There is one nonzero digit in every cell of table.
On the board we writes numbers that are rows and columns of table. It is known, that numbers are divisible by prime and last is not divisible by . Find all possible values of .Example for . If table is
|1|4|
|3|7|.
Then numbers on board are