  In this paper we use the latest corrections to the Newton-Einstein secular
perihelion rates of some planets of the Solar System, phenomenologically
estimated with the EPM2004 ephemerides by the Russian astronomer E.V. Pitjeva,
to put severe constraints on the range parameter lambda characterizing the
Yukawa-like modifications of the Newtonian inverse-square law of gravitation.
It turns out that the range cannot exceed about one tenth of an Astronomical
Unit. We assumed neither equivalence principle violating effects nor spatial
variations of $\alpha$ and $\lambda$. This finding may have important
consequences on all the modified theories of gravity involving Yukawa-type
terms with range parameters much larger than the Solar System size. However,
caution is advised since we, currently have at our disposal only the periehlion
extra-rates estimated by Pitjeva: if and when other groups will estimate their
own corrections to the secular motion of perihelia, more robust and firm tests
may be conducted.
