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n2-1 and n2-4 are trivial cases because of n2-m2=(n-m)(n+m). So the only prime of the form n2-1 is 3 and of the form n2-4 is 5.

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Q: Are there infinitely many primes of the form n2-1 and n2-2 and n2-3 and n2-4?
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