This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A344784 #10 Jan 08 2025 11:23:47
%S A344784 5,9,7,6,4,0,4,7,5,8
%N A344784 Decimal expansion of the sum of the reciprocals of the prime factors of Fermat numbers (A023394).
%C A344784 Golomb (1955) asked if this series is convergent. Křížek et al. (2002) proved its convergence.
%C A344784 The first 10 terms were given by Finch (2018).
%D A344784 Steven R. Finch, Mathematical Constants II, Cambridge University Press, 2018, Section 1.37, p. 248.
%H A344784 Steven R. Finch, <a href="https://citeseerx.ist.psu.edu/pdf/19649c0b982e07df575fd68a8127c6a73ee952de">Fermat Numbers and Elite Primes</a>, preprint, 2013.
%H A344784 Solomon W. Golomb, <a href="https://eudml.org/doc/165595">Sets of primes with intermediate density</a>, Math. Scand., Vol. 3 (1955), pp. 264-274; <a href="https://www.jstor.org/stable/24490175">alternative link</a>.
%H A344784 Michal Křížek, Florian Luca and Lawrence Somer, <a href="http://dx.doi.org/10.1006/jnth.2002.2782">On the convergence of series of reciprocals of primes related to the Fermat numbers</a>, J. Number Theory, Vol. 97, No. 1 (2002), pp. 95-112.
%F A344784 Equals Sum_{k>=1} 1/A023394(k).
%e A344784 0.5976404758...
%Y A344784 Cf. A000215, A023394.
%K A344784 nonn,cons,more
%O A344784 0,1
%A A344784 _Amiram Eldar_, May 28 2021