Search: id:A118727
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%I A118727
%S A118727 2,5,17,37,197,503,9649,9901,111431,1532093,1556117,71354639,
%T A118727 392849685203,67564865715709,67929521152309,2551756396706233,
%U A118727 345246028268898566519,73744425850091533377950933665103
%N A118727 Primes that are the sum of the numerator and denominator of a harmonic 
               number.
%C A118727 A001008(n) + A002805(n) = A064168(n) is the sum of numerator and denominator 
               in n-th harmonic number H(n) = 1 + 1/2 + 1/3 +...+ 1/n. A064168(n) 
               is prime for n = {1,2,3,4,5,7,9,10,11,14,15,20,27,35,36,39,48..}.
%e A118727 H(n) = [ 1/1, 3/2, 11/6, 25/12, 137/60, 49/20, 363/140, 761/280, 7129/
               2520,... ].
%e A118727 a(1) = 1 + 1 = 2,
%e A118727 a(2) = 3 + 2 = 5,
%e A118727 a(3) = 11 + 6 = 17,
%e A118727 a(4) = 25 + 12 = 37,
%e A118727 a(5) = 137 + 60 = 197,
%e A118727 a(6) = 363 + 140 = 503,
%e A118727 a(7) = 7129 + 2520 = 9649...
%Y A118727 Cf. A064168, A001008, A002805.
%Y A118727 Sequence in context: A002496 A127436 A064168 this_sequence A042361 A114300 
               A099207
%Y A118727 Adjacent sequences: A118724 A118725 A118726 this_sequence A118728 A118729 
               A118730
%K A118727 nonn
%O A118727 1,1
%A A118727 Alexander Adamchuk (alex(AT)kolmogorov.com), May 21 2006

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