Looking at the first 2z integers 1, 2, . . . , 2z. Choose z...

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Looking at the first 2z integers 1, 2, . . . , 2z. Choose z + 1of them. Then demonstrate that there is at least one pair ofintegers from the selection that are relatively prime. (A way toapproach this problem is to show that at least two integers fromthe selection are consecutive.)

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