Hi Jerry
What gun model and what primer are you shooting. I've shot 4-5 gallons of primer (high build polyester, 2K, and epoxy) and typically use my Devilbiss Finishline3 for most of the primer work. Tip requirements vary hugely, from about 1.4 to up to 2.2, based on material and if you reduce it. I've never heard of cranking air pressure up to 40 PSI and higher when shooting with all the guns I own (and I have about 5 HVLP guns). Typically, one sets the wall pressure pretty high (north of 100 psi, but under the set point that turns on your compressor). Then use the pinch valve at the gun (the valve at your gun regulator) to tune the pressure at the gun when trigger is fully pulled). So, with my trigger closed, my pressure at the gun is line pressure, of 100 psi. But with trigger fully pulled, I tune gun regulator to between 23 and 30 psi, depending on gun and how material is spraying. If you crank up to 40 psi and higher, you'll way overatomize and I often see spray patterns that look like a elongated figure 8, rather than a nice stretched vertical oval. Primer is often the easiest thing to spray, so you shouldn't need those super high pressures to get it to lay down pretty well. I'm interested in hearing what material you're spraying and with what gun.
Also, poly primer and 2K dries super fast, so you need to clean or at least rinse your gun well between coats. If you coat the tip with primer, your second coat won't spray worth beans.
Good luck.
pat