Primers come in generally THREE DIFFERENT THICKNESSES.
Small pistol primer cups are about
0.017" thickness.
Large pistol primer cups are about
0.020" thickness.
Small rifle "standard" primers (.e.g. CCI 400, Remington 6 1/2) are about
0.020" thickness.
("standard" small rifle primers generally unsuitable for FULL 5.56 pressure: 62,000 PSI)
Small rifle "magnum" (e.g. CCI 450, Remington 7 1/2) and CCI 41, and CCI BR are about
0.025" thickness.
These primers are correct for full 5.56 pressure.
Hammer-fired full-size handguns will usually ignite a "standard" small rifle primer.
Striker-fired handguns, and small hammer-fired revolvers, will usually not reliably ignite a "standard" small rifle primer.
I am aware of no handgun that will reliably ignite a primer that is 0.025" thickness.
Also note that ALL large rifle primers (both magnum and standard) are 0.027" thickness.
See
http://www.jamescalhoon.com/primers_and_pressure.php