Question

Show that if n2+2 and n2-2 are both prime, then 3 divides n. Note: This question...

Show that if n2+2 and n2-2 are both prime, then 3 divides n.

Note: This question was asked in the context of congruences/ modulus in a Number Theory class.

Please give a NEATLY written proof in full sentences. State any theorems, definitions, and formulas used.

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