Task

Write a function to test if a number is   square-free.



A   square-free   is an integer which is divisible by no perfect square other
than   1   (unity).

For this task, only positive square-free numbers will be used.



Show here (on this page) all square-free integers (in a horizontal format) that are between:

   1   ───►   145     (inclusive)
   1 trillion   ───►   1 trillion + 145     (inclusive)


(One trillion = 1,000,000,000,000)



Show here (on this page) the count of square-free integers from:

   1   ───►   one hundred     (inclusive)
   1   ───►   one thousand     (inclusive)
   1   ───►   ten thousand     (inclusive)
   1   ───►   one hundred thousand     (inclusive)
   1   ───►   one million     (inclusive)


See also

   the Wikipedia entry:   square-free integer


   def is_square_free: . as $n | all( squares; divides($n) | not);
