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A346173 Decimal expansion of Sum_{k>=1} prime(k)/2^prime(k).

%I A346173 #8 Jul 09 2021 07:25:11
%S A346173 1,0,9,3,0,6,4,2,5,7,7,0,2,5,0,7,1,6,5,4,0,2,5,8,5,9,5,2,6,9,6,7,6,3,
%T A346173 6,8,2,9,5,5,4,7,5,9,6,5,4,0,1,2,1,5,0,6,4,0,2,7,7,2,0,3,3,5,3,0,1,2,
%U A346173 2,4,7,5,8,8,1,4,8,9,0,0,5,8,2,5,4,0,1,1,1,2,9,8,3,4,5,7,5,4,7,6
%N A346173 Decimal expansion of Sum_{k>=1} prime(k)/2^prime(k).
%C A346173 This constant is irrational (Hančl and Tijdeman, 2004).
%H A346173 Jaroslav Hančl and Robert Tijdeman, <a href="https://doi.org/10.1515/crll.2004.038">On the irrationality of Cantor series</a>, Journal für die reine und angewandte Mathematik, Vol. 2004, No. 571 (2004), pp. 145-158.
%F A346173 1.09306425770250716540258595269676368295547596540121...
%t A346173 RealDigits[Sum[Prime[n]/2^Prime[n], {n, 1, 100}], 10, 100][[1]]
%o A346173 (PARI) suminf(k=1, prime(k)/2^prime(k)) \\ _Michel Marcus_, Jul 09 2021
%Y A346173 Cf. A034785, A098990, A100127.
%K A346173 nonn,cons
%O A346173 1,3
%A A346173 _Amiram Eldar_, Jul 08 2021