%I #8 Jul 19 2020 04:04:21
%S 89460294,151165960539,3089285427491,6999761340223,7539504384825
%N Ruth-Aaron triples (1): sum of primes dividing n = sum of primes dividing (n+1) = sum of primes dividing (n+2).
%C a(6) > 10^13. Taking into account primes multiplicity (A039752), the only triples up to 10^13 are those starting at 417162 and 6913943284.
%H Carlos Rivera, <a href="http://www.primepuzzles.net/puzzles/puzz_358.htm">Puzzle 358. Ruth-Aaron Pairs Revisited</a>, The Prime Puzzles and Problems Connection.
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Ruth-AaronPair.html">Ruth-Aaron Pair</a>
%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Ruth-Aaron_pair">Ruth-Aaron pair</a>
%e 7539504384825 = 3^2 * 5^2 * 7^2 * 43 * 251 * 63361,
%e 7539504384826 = 2 * 19 * 367 * 10181 * 53101,
%e 7539504384827 = 17 * 457 * 26309 * 36887 and
%e 3 + 5 + 7 + 43 + 251 + 63361 = 2 + 19 + 367 + 10181 + 53101 = 17 + 457 + 26309 + 36887.
%Y Cf. A006145, A039752.
%K nonn
%O 1,1
%A _Giovanni Resta_, Jul 19 2013
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