Question

use algorithm for division Lemma to the show that the square of any positive integer cannot be the from 5 M + 2 or 5 M + 347 teaser m

Answer 1

let a be the positive Integer and b be 5 to satisfy a=bq+r
the possible reminders are 0,1,2,3,4
if r=0
since the multiples of 5 end with 0 or 5
therefore it cannot be in the form of 5m+2 or 5m+347.