Plato, the ancient Greek philosopher, once pointed out that if M is an integer greater than 1, a = 2m, B = M2-1, C = M2 + 1, then a, B and C are Pythagorean numbers. Do you think it is correct? If correct, please explain the reason and use this conclusion to draw some Pythagorean numbers

Correct. Reason: ∵ m is an integer greater than 1, ∵ a, B, C are all positive integers, and C is the largest edge, ∵ (2m) 2 + (M2-1) 2 = (M2 + 1) 2, ∵ A2 + B2 = C2, that is, a, B, C are Pythagorean numbers. When m = 2, we can get a group of Pythagorean numbers 3, 4, 5

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