\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
A student claims that for every odd integer \(n > 1\), the number$$N = n + (n + 2) + n(n + 2)$$is always a prime number. What do you think of this claim?
Capture an image of your work. AI teacher feedback takes approximately 10 seconds.