MathDB
n+6(p^3+1) is prime when p is prime

Source: VTRMC 2005 P1

June 10, 2021
number theory

Problem Statement

Find the largest positive integer nn with the property that n+6(p3+1)n+6(p^3+1) is prime whenever pp is a prime number such that 2≤p<n2\le p<n. Justify your answer.
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