MathDB
1990, 1991, 1992, ..., 2002, 2003, 2003, 2003, ..., 2003

Source: 2003 Cuba MO 1.1

September 15, 2024
number theoryDigitsprime

Problem Statement

Given the following list of numbers: 1990,1991,1992,...,2002,2003,2003,2003,...,20031990, 1991, 1992, ..., 2002, 2003, 2003, 2003, ..., 2003 where the number 20032003 appears 1212 times. Is it possible to write these numbers in some order so that the 100100-digit number that we get is prime?