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|n^3 - 4n^2 + 3n - 35| and |n^2 + 4n + 8| are primes

Source: Czech-Polish-Slovak Junior Match 2014, Team p3 CPSJ

March 23, 2020
number theoryprimesprime

Problem Statement

Find with all integers nn when ∣n3−4n2+3n−35∣|n^3 - 4n^2 + 3n - 35| and ∣n2+4n+8∣|n^2 + 4n + 8| are prime numbers.
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