Yes. If you have the two sizes side-by-side the contrast is pretty strong. Both sizes are common for 1960-D. The 1960-P (no mintmark) small date is the only scarce one.
Since 1980 (I think) dimes, nickels, quarters, halves and dollars minted at Philadelphia have a "P" mintmark. Cents still don't, but sometimes they're called "P" to be more specific in distinguishing them from "D" or "S".
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