Prove that there exist infinitely many positive integers such that the largest prime divisor of is equal to the largest prime divisor of .
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Prove that there exist infinitely many positive integers $n$ such that the largest prime divisor of $n^4 + n^2 + 1$ is equal to the largest prime divisor of $(n + 1)^4 + (n + 1)^2 + 1$.
Školjka 
such that the largest prime divisor of 
is equal to the largest prime divisor of 
.