Homework Help Overview
The problem involves selecting n + 1 different integers from the set {1,2,...,2n} and aims to demonstrate that at least two of these integers will have a greatest common divisor (gcd) of 1. The subject area relates to number theory and combinatorial reasoning.
Discussion Character
- Exploratory, Conceptual clarification, Assumption checking
Approaches and Questions Raised
- The original poster considers the pigeonhole principle as a potential approach but expresses uncertainty about how to begin. Another participant questions the possible gcd values for pairs of integers from the specified set.
Discussion Status
The discussion has progressed with some participants confirming the use of the pigeonhole principle and identifying specific pairs of integers that could illustrate the concept, although the original poster's initial confusion remains evident.
Contextual Notes
There is an indication that the problem may involve assumptions about the properties of integers and their divisors, but these assumptions have not been explicitly stated or resolved in the discussion.