No, of course not. A number of the form [math]a^n-b^n[/math] is very rarely prime.
For any positive integers [math]a,b,n[/math], [math]a^n-b^n[/math] is divisible by [math]a-b[/math]. This in and of itself isn't significant here: it just says that [math]N=3^{2019}-2^{2019}[/math]...
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