Is $\sum_{p\text{ is a prime}}\frac{1}{p^{2}}$ known to be irrational/transcendental?

Question

Is $\sum_{p\text{ is a prime}}\frac{1}{p^{2}}$ known to be irrational/transcendental? The sum exists, because $\sum_{p\text{ is a prime}}\frac{1}{p^{2}}\leq\sum_{n=1}^{\infty}\frac{1}{n^{2}}=\frac{\pi^{2}}{6}$.