On the Size of the Smallest Non-Classical Blocking Set of Rédei Type in PG(2, p)

We prove that the number of directions determined by a set of p points in AG(2, p), p prime, cannot be between (p+3)/2 and (p−1)/2+13 p. This is equivalent to saying that besides the projective triangle, every blocking set of Rédei type in PG(2, p) has size at least 3(p−1)/2+13 p.