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Wieferich m-squares

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It is a fact that for any odd prime p, there is a number b so that b has order p(p-1) modulo p^2. Given that fact, show that for any odd prime p, there is a number m so that p^2 is a Wieferich m-square.

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This solution helps go through Wieferich m-squares within the context of linear algebra.

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It is a fact that for any odd prime p, there is a number b so that b has order p(p-1) modulo p^2. Given that fact, show that for any odd ...

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