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numbers in 9 x 2002 - All-Russian MO 2002 Regional (R4) 8.1

Source:

September 17, 2024
combinatoricsnumber theory

Problem Statement

Is it possible to fill all the cells of the table 9×20029 \times 2002 with natural numbers so that the sum of the numbers in any column and the sum of the numbers in any string would be prime numbers?
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