maths Maths Puzzle

Find all solutions to c2 + 1 = (a2 − 1)(b2 − 1), in integers a, b, and c.

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maths Other Question

Suppose n fair 6-sided dice are rolled simultaneously. What is the expected value of the score on the highest valued die? Let n be an integer. Can both n + 3 and n2 + 3 be perfect cubes?