Y by
A pair of positive integers
is good if they satisfy
and they do not divide each-other. Given coprime positive integers
and
, show that there exist infinitely many
for which there exists a positive integer
such that
is good.
(Here,
denotes the product of
's prime divisors, as usual.)







(Here,


This post has been edited 4 times. Last edited by Iveela, Jan 20, 2025, 2:38 PM