Conjecture: Let $\ p\in\mathbb P\ $ be an arbitrary prime. Then there exist two relatively prime integers $\ a\ $ and $\ b\ $ such that $\ a>0\ $ and $\ b>1\ $ and
$$ \frac{b^p-a^p}{b-a} \in\ \mathbb P. $$
Primality of $\ \frac{b^p-a^p}{b-a}$
Wlod AA
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