Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n.
-$$\text { Show that the statement "n } { } ^ { 2 } - n + 3 \text { is a prime number" is true for } n = 1 \text {, but is not true for } n = 3 \text {. }$$

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The Answer of Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n.
-$$\text { Show that the statement "n } { } ^ { 2 } - n + 3 \text { is a prime number" is true for } n = 1 \text {, but is not true for } n = 3 \text {. }$$

Use the Principle of Mathematical Induction to Show That the Statement