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Numbers k such that the sum of the terms of the continued fraction for the harmonic mean of k and the k-th prime is prime.
1

%I #13 Mar 05 2023 12:41:05

%S 3,13,17,18,19,21,20,19,21,23,26,27,26,27,30,42,48,137,51,52,53,54,63,

%T 73,88,90,101,110,123,113,140,115,118,121,110,123,128,133,149,48,137,

%U 113,140,133,149

%N Numbers k such that the sum of the terms of the continued fraction for the harmonic mean of k and the k-th prime is prime.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/ContinuedFraction.html">Continued Fraction</a>.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/HarmonicMean.html">Harmonic Mean</a>.

%Y Cf. A107919 (sum of terms of continued fraction for the harmonic mean of n and n-th prime), A107923 (primes occurring in A107919).

%K nonn,more

%O 1,1

%A _Zak Seidov_, May 28 2005