I'm no expert but I've always done one slow pump with the bleed screw open, close screw before end of pump, release pedal slowly so that the fluid can get in from the reservoir, repeat. Pumping 4 or 5 times doesn't really accomplish anything, I think. It might even force the bubbles in to solution in the fluid, from the pressure, or cause them to break up in to many small bubbles. Ideally, you want one big bubble sitting at the bleed screw opening, waiting to get out.
Or, if I don't have a helper, I open the bleed screw, press the pedal down with a broken shovel handle through the driver's window, prop it against the seat at the bottom of the stroke, walk over and close the screw. Still a very slow pump.
On the back I installed speed bleeders. They made a big difference. Again though, a very slow pump. Once the air gets out you want the hydraulic lines to refill from the reservoir, not suck back through the bleed screw or the bleed screw threads. Air has much lower viscosity than brake fluid. It moves fast.