Ruth–Aaron pair
= Ruth–Aaron pair
{wiki=Ruth–Aaron_pair}
A Ruth–Aaron pair is a pair of consecutive integers, \\( n \\) and \\( n+1 \\), for which the sums of the prime factors of both integers are equal when counted with multiplicity. For instance, let's consider the numbers 714 and 715: - The prime factorization of 714 is \\( 2 \\times 3 \\times 7 \\times 17 \\).