Consider this equation where $p$ are primes:
$$(p_k)^2+(p_{k+1})^2-1=(p_{k+2})^2$$
A possible solution is given by $p_k=7$, $p_{k+1}=11$ and $p_{k+2}=13$. Do you believe that there are infinitely many solutions? Or plenty of solutions?
Consider this equation where $p$ are primes:
$$(p_k)^2+(p_{k+1})^2-1=(p_{k+2})^2$$
A possible solution is given by $p_k=7$, $p_{k+1}=11$ and $p_{k+2}=13$. Do you believe that there are infinitely many solutions? Or plenty of solutions?
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