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(For the following problem I don't just want a flat out answer, but steps and Ideas on how to solve it. The problem was given by my Universities newspaper and for solving it you get free Loot and stuff)

----------------------------------------------------------------------------------------------------------------------------------------The Problem:

*Show that every set of n+1 positive integers, chosen from a set of 2n consecutive integers, contains at least one pair of relatively prime numbers.*

relatively prime means: "Two integers are relatively prime if they share no common positive factors (divisors) except 1"

Example: 8 and 15 are relatively prime.

8 = 2 * 2 * 2 15 = 3 * 5

Example: 9 and 12 are NOT relatively prime

9 = 3 * 3 12 = 2 * 2 * 3

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My thinking thus far:

None really I've just started

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