  We prove that the discrete fractional integration operators along the primes
\[ T^{\lambda}_{\mathbb{P}}f(x) := \sum_{p} \frac{f(x-p)}{p^{\lambda}} \cdot
\log p \] are bounded $\ell^p\to \ell^{p'}$ whenever $ \frac{1}{p'} <
\frac{1}{p} - (1-\lambda), \ p > 1.$ Here, the sum runs only over prime $p$.
