Prime factors of two consecutive numbers

If 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}