In general, whenever you change primers, whether it is using a different brand or a magnum in substitute of standard, you start at the lower end of the min/max listings and work up.
I have substituted many mag primers in place of standard, sometimes it was because I only had magnums; sometimes testing showed the magnums to be more accurate even though standard were called for.
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Handloader Magazine published an interesting article by A-Square. Here is a short summary of the test of primers in the Remington 7mm Mag.
160 grain Sierra boat-tail, 66.0 grains of Hodgdon H-4831 and Winchester cases.
Winchester WLRM (magnum)___ 3045 fps, 67,600 psi
Winchester WLR (standard) ____ 3024 fps, 64,400 psi
Federal 215 (magnum)________ 3036 fps, 61,400 psi
CCI 250 (magnum)___________ 3039 fps, 61,500 psi
Remington 9½ M (magnum)____ 3041 fps, 59,300 psi
CCI 200 (standard)___________ 3011 fps, 54,800 psi
The SAAMI max pressure for the 7Mag is 64,000psi.
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Also read these flash tests:
http://www.6mmbr.com/PrimerPix.html