maths Maths Puzzle

Let n be an integer. Can both n + 3 and n2 + 3 be perfect cubes?

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maths Other Question

Find all solutions to c2 + 1 = (a2 − 1)(b2 − 1), in integers a, b, and c. Show that, if n is an integer, n2 + 11n + 2 is not divisible by 12769.