Ruth-Aaron pair

With 370, a Ruth-Aaron pair with only distinct prime factors counted.

If only distinct prime factors are counted, the first few Ruth-Aaron pairs are:

This is also the case for Ruth-Aaron pairs which have a similar mathematical property and had earlier been named after baseball players who set home run records.

Any Ruth-Aaron pair of square-free integers belongs to both lists with the same sum of prime factors.

Ruth-Aaron triplets (overlapping Ruth-Aaron pairs) also exist.

"Ruth-Aaron Triplets" and "Ruth-Aaron pairs revisited".

In mathematics, a Ruth-Aaron pair consists of two consecutive integers (e.g. 714 and 715) for which the sums of the prime factors of each integer are equal: