The IsSquareFree command returns $\mathrm{true}$ if n is square free and returns $\mathrm{false}$ if n is not square free.

An integer is said to be square free if it is not divisible by the square of another integer other than $1$.

$\mathrm{with}\left(\mathrm{NumberTheory}\right)\:$

$\mathrm{IsSquareFree}\left(7\right)$

$\mathrm{true}$

$\mathrm{IsSquareFree}\left(101\right)$

$\mathrm{true}$

$\mathrm{IsSquareFree}\left(71407\right)$

$\mathrm{false}$

$\mathrm{irem}\left(71407\,{101}^2\right)$

$0$

$V≔\left(r\,c\right)\mapsto \mathrm{DocumentTools}:-\mathrm{Tabulate}\left(\mathrm{Matrix}\left(r\,c\,\left(i\,j\right)\mapsto c\cdot \left(i-1\right)+j\right)\,\mathrm{fillcolor}=\left(\left(T\,i\,j\right)\mapsto \mathrm{`if`}\left(\mathrm{IsSquareFree}\left(c\cdot \left(i-1\right)+j\right)\,''Pink''\,''White''\right)\right)\right)\:$

$V\left(10\,10\right)$

$''Tabulate''$

The NumberTheory[IsSquareFree] command was introduced in Maple 2016.

For more information on Maple 2016 changes, see Updates in Maple 2016.