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Grover
Posts:
4
Registered:
10/27/10


RuthAaron pairs
Posted:
Feb 19, 2013 1:16 PM


I wonder if the name "perfect RuthAaron 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 RA pairs as I see the situation:
all prime factors are counted in summing; only the nonduplicate 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



