289 squared times 289 squared is equal to 6,975,757,441.
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17 squared = 172 = 289
225 (15 squared)256 (16 squared)289 (17 squared)324 (18 squared)
There is no "the" square number. 225, 256 and 289 are THREE square numbers between 200 and 300.
If it were, then 17 squared would equal 8 squared plus 15 squared. ie 289 would equal 64 + 225 which it does, so it is a pythagorean triangle.
289 because each consecutive prime number is squared.