# Are there an infinity of solutions to this equation involving prime numbers?

Consider this equation where $$p$$ are prime numbers:

$$(p_k) ^ 2 + (p_ {k + 1}) ^ 2-1 = (p_ {k + 2}) ^ 2$$.

One possible solution is given by $$p_k = 7$$, $$p_ {k + 1} = 11$$ and $$p_ {k + 2} = 13$$.
Do you believe that there are an infinity of solutions?
Or many solutions?