Question

Show that any positive odd integer is if the form 6q+1,or6q+3,or6q+5,where q is some integer.

Answer 1

let a be any positive integer ,
b=6
by eclids algorithm
a=bq+r. a>b
a=bq+r. r=0,1,2,3,4,5
for a =6q+0
a=6q

similarly,
by this prosses we can find