Concider two sequences xn=an+b, yn=cn+d where a,b,c,d are natural numbers and gcd(a,b)=gcd(c,d)=1, prove that there exist infinite n such that xn, yn are both square-free.Proposed by Siavash Rahimi Shateranloo, Matin Yadollahi Rated 3 Arithmetic Progressionnumber theory