Problem 936

Daily Math Challenge - May 26, 2023



You have an unusual lock that has three adjacent dials.  The leftmost dial contains the digits 1 and 2.  The middle dial contains the digits 0, 4, and 8.  The rightmost dial has the digits 3, 5, 6, and 7.  How many three-digit prime numbers can be represented by setting the dials in various positions?

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