Let with (a,4)=2 and (b,4)=2. find (a+b, 4) and prove that your answer is correct.
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Originally Posted by JCIR Let with (a,4)=2 and (b,4)=2. find (a+b, 4) and prove that your answer is correct. First, note that the only possible divisors of 4 are 1, 2, and 4, so we only need show that But , for if so, and so and not 2 as required. Similarly, . Thus and are odd so their sum must be even (i.e., with ). So as required to show that
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