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Topic: Ruth-Aaron pairs
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Posts: 4
Registered: 10/27/10
Ruth-Aaron pairs
Posted: Feb 19, 2013 1:16 PM
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I wonder if the name "perfect Ruth-Aaron pair" has been suggested for the two pairs (5,6) and (714,715) as being the only two pairs I can find which have the property that, in each pair, the members of the combined set of prime factors in the pair form a consecutive sequence of primes.

There seem to be three types of R-A pairs as I see the situation:

all prime factors are counted in summing;
only the non-duplicate prime factors are counted in summing; and
the condition I described in the first paragraph, above.

I'd be interested in your comments.

Grover Hughes

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