Plato, the ancient Greek philosopher, once pointed out that if M is an integer greater than 1, a = 2m, B = 2m '2-1, C = m' 2 + 1, then a, B, C are Pythagorean numbers. Do you think that's right? If yes, can you use this conclusion to draw some Pythagorean numbers? Requirements: List grid!

The list is as follows: m (M > 1) a = 2m B = 2m ^ 2-1 C = m ^ 2 + 1 is consistent with Pythagorean theorem M = 2 a = 4 B = 7 C = 5 16 + 25 ≠ 49 is not consistent with M = 3 a = 6 B = 17 C = 10 36 + 100 ≠ 289 is not consistent, but if B = m ^ 2-1, there is the following table: m (M > 1) a = 2m B = m ^ 2-1 C = m ^ 2 + 1 is consistent with Pythagorean theorem M = 2 a = 4

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