Thread: gaps between square free

Show that there are arbitrarily long gaps between
square free integers. That is,if k is any positive integer,there
is a number N so that none of N + 1, N + 2, ..., N + k are
square free.

Originally Posted by bigb

Show that there are arbitrarily long gaps between
square free integers. That is,if k is any positive integer,there
is a number N so that none of N + 1, N + 2, ..., N + k are
square free.

this claim is true only for because if then for any at least one of the elements in will divide .