Ruth-Aaron numbers

So I recently came across the Ruth-Aaron numbers... They're kinda famous, and for a very interesting reason.

Let me digress... Fibonacci in the Fibonacci sequence: famous mathematician. Ramanujan and Hardy in the Hardy-Ramanujan number (1729): famous mathematicians. You kinda get the picture right?

Ruth and Aaron, though, are baseball stars!!! (Yeah, THE Ruth and THE Aaron).

Ruth-Aaron numbers are any two consecutive integers n and (n+1), the sum of whose prime factors is the same. 8 and 9 for example.

8 = 2*2*2
9 = 3*3

2+2+2 == 3+3

So Baby Ruth had the record for the most home runs ever ==> 714. His record was broken by Hank Aaron in 1974, when he completed his 715-th home run. 714 and 715 were the first observed Ruth-aaron numbers :)