Tesla coil primary and secondary resistance
A picture, and description of materials and all dimensions will help.

While having about the same primary and secondary DC resistance is no great problem in itself, it is almost impossible to build a Tesla coil where this result is true without doing something REALLY wrong. 

If you use eg Yak's butter for the primary and eg copper for the secondary this may make sense. Otherwise, something is very wrong.

The primary is usually a few turns of "thick" wire. The secondary is usually a very much greater number of "thin wire". If primary and secondary windings are of the same material (usually copper, sometimes Aluminum, very occasionally something else, then
 Rprimary:Rsecondary ~= (Length of primary wire/Area* of primary wire):(Length of secondary wire/Area of secondary wire).
If they are of about the same diameter then
Resistance_primary : Resistance_secondary ~~= N_primary/Area_primary : N_secondary/Area_secondary

Where Area_xxx is area of the actual wire used.