MathDB

The integers from 1 to 49 are written in a

7\times 7

table, such that for any

k\in\{1,2,\ldots,7\}

the product of the numbers in the

k

-th row equals the product of the numbers in the

(8-k)

-th row.
[*]Prove that there exists a row such that the sum of the numbers written on it is a prime number. [*]Give an example of such a table.
Cristi Săvescu

Problem Statement