Cases made for rifle primers have a deeper primer pocket. If your cases have an "R" on them they should be carrying rifle primers.
As for magnum versus standard, depending on brand, magnum primers can be the difference in a thicker cup, or slightly - and I mean SLIGHTLY greater priming charge.
Consider that the .500 Magnum was designed to handle an "average working pressure" of 60,000 CUP, and you will find FEW loads that push it much above 40,000 CUP, even if you've shoved in "magnum" rifle primers, unless you started at the highest powder charge you can find (which you did not), you're okay. 15 grains of Titegroup should be pressure out around 45-47K CUP, but you are still about 1.5 grains BELOW an approximately 50K CUP load with standard primers at 16.5 grains of Titegroup....you're safe.
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