Given expression is .

Substitute n = 3 in the given expression.

                                  (Evalute powers: )

                                        (Subtract: )

                                              (Add: )

Express the number as a product of its factors.

The factors of 47: 

47 = 1 × 47.

Since the number has exactly two factors, 1 and itself. The number is a prime number.

The number 47 is a prime number.