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Argentina MO 2021 National Level 1 P1

Source:

April 23, 2022
contestsnumber theoryprime numbers

Problem Statement

Determine all pairs of prime numbers pp and qq greater than 11 and less than 100100, such that the following five numbers: p+6,p+10,q+4,q+10,p+q+1,p+6,p+10,q+4,q+10,p+q+1, are all prime numbers.
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