Question

Write a formal proof to prove the following conjecture to be true or false. If the...

Write a formal proof to prove the following conjecture to be true or false.

If the statement is true, write a formal proof of it. If the statement is false, provide a counterexample and a slightly modified statement that is true and write a formal proof of your new statement.

Conjecture: There does not exist a pair of integers m and n such that m^2 - 4n = 2.

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