Help writing a program in c++ that asks a user for a number (variable num) and then takes that number input to print out the nth term of a sequence? The sequence begins with 1 and then every number after is a prime factor of 3, 4, or 6. This needs to be done without using vectors or arrays.

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For example:

Sequence is : 1, 3, 4, 6, 8, 9, 12, 16, 18, 20, ... (cont.)

User input (num) is : 6

Output : 12 (6th term)

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Please add comments explaining the code for better understanding if possible, thank you!!