Fool's problem of the day ( on request of asnaseer), probably easy , I haven't thought much,
Let \(A = \{a_1, a_2 \cdots a_k\} \) be any set of \( k \) composite numbers such that
\(1 \le a_i \le 120 \) for all \(i\) such that \(1 \le i \le k\). Find the least value of \(k\) such
that there exists at least one pair \( (a_i, a_j) \), \(1\le i, j \le k\) in \(A\) which is not co
prime ?

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good night FFM

and thanks for the post

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