I f there is given two consecutive numbers n and (n+1) then if we define two sets s1 and s2 such that the member of s1 are prime factors of n and the member of s2 are prime factors of (n+1). So by the number theory the set s1 and s2 will be exclusive. In set theory: There will be no element which appear in both the sets. eg . The two numbers are 24 and 25. s1={2,3} s2={5} The two numbers are 50 and 51 s1={2,5} s2={3,17}