(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Prove that, in any set of n + 1 positive integers (n ≥ 1) chosen from the set {1, 2, . . . 2n}, it must be that two of them are relatively prime (i.e. have no common divisor except 1). ( Hint: two consecutive integers are relatively prime. Make boxes labelled by pairs of consecutive integers. ).

2. Relevant equations

3. The attempt at a solution

In boxes does it mean to write:

[1,2]

[2,3]

[3,4]

[4,5]

[5,6]

[6,7]....

and i dont understand how two consecutive integers are relatively prime.

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# Homework Help: Counting and Pigeonhole, Incl- Excl

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