We review recent results on near-horizon static black hole solutions and
entropy in R^2-corrected N=2 SUGRA in D=5, focusing on actions connected to
heterotic string compactified on K3\times S^1. Comparison with
\alpha'-perturbative results, results obtained by using simple Gauss-Bonnet
R^2-correction, OSV conjecture and microscopic stringy description (for small
black holes) shows that situation in D=5 is, in a sense, even more interesting
then in D=4.Comment: 5 pages, Based on talks presented at the III Southeastern European
Workshop Challenges Beyond the Standard Model (September 2-9, 2007, Kladovo,
Serbia), and DFG & NZZ Workshop on Field Theory, Non-commutative Geometry and
Strings (November 9-11, 2007, Zagreb, Croatia