original_query: What is a Ruth-Aaron pair in mathematics?
query: What is a Ruth-Aaron pair in mathematics?
answer: A Ruth-Aaron pair consists of two consecutive integers where the sums of their prime factors are equal.  For example, 714 and 715 are a Ruth-Aaron pair because the sum of the prime factors of 714 (2 + 3 + 7 + 17 = 29) equals the sum of the prime factors of 715 (5 + 11 + 13 = 29). There are variations in the definition depending on how repeated prime factors are counted.