Magnetism Series #5

A single-layer conducting coil is wound with no gap between adjacent turns on a cylindrical frame of radius $R$ .Diameter of cross-section of the wire used is $d(d<<R)$ .
If breaking stress of the material of the wire is $\lambda_{b}$ , at what magnitude of current will the coil rupture?
Answer comes in the form of $I=\sqrt{\frac{\lambda πd^{\beta}}{\gamma \mu_{0}R^{\alpha}}}$
Type your answer as $\alpha+\beta+\gamma=?$

The problem is taken from my Physics Book.

Thanks in advance if you are going to post solution