MathDB

Problem 1

Part of 2005 VTRMC

Problems(1)

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

Source: VTRMC 2005 P1

6/10/2021
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.
number theory