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GCD of p^6-7p^2+6 where p runs through prime numbers

Source: Bundeswettbewerb Mathematik 2023, Round 2 - Problem 1

September 8, 2023
number theorygreatest common divisornumber theory proposedGCDprime numbers

Problem Statement

Determine the greatest common divisor of the numbers p6−7p2+6p^6-7p^2+6 where pp runs through the prime numbers p≥11p \ge 11.
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