# Go green, plant trees

In a school's $$\color{Green}{\textbf{Go Green movement}}$$ , they planned to take a tree-plantation event.

They have " $$\color{Purple}{k}$$ " $$\color{Green}{\text{plants}}$$ for planting. The $$\color{Red}{\text{math teacher}}$$ of the school tells that if they decide to plant them in '$$x$$' rows, then '$$y$$' $$\color{Green}{\text{plants}}$$ remain. The following table shows the values of $$x$$ and $$y$$ as seen by the teacher.

$\color{Blue}{ \begin{array}{|c||c|} x & y \\ \hline 17&3\\ 19&4\\ 23&7\\ 29&12\\ \end{array} }$

Teacher asks the students to find the number of plants, i.e. $$\color{Purple}{k}$$

Can you help the students by telling what is the $$\color{Blue}{\text{positive integer}}$$ $$\color{Purple}{k}$$, if it is the smallest to satisfy the above property ?

Most probably, after you get the answer, you'll say "It's indeed a huge movement to 'Go green', so many plants ! "

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