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A369632 Decimal expansion of Sum_{primes p} 1/(p*(p^2 - 1)).

%I A369632 #15 Mar 31 2025 08:08:03
%S A369632 2,2,1,4,6,3,3,7,1,3,9,2,7,9,5,9,4,3,4,2,4,6,3,6,4,3,5,8,8,4,5,9,8,8,
%T A369632 1,7,4,8,7,2,4,0,9,5,8,3,0,4,5,5,7,7,9,6,0,8,0,3,8,8,7,3,3,2,9,7,1,4,
%U A369632 3,4,3,0,8,4,8,1,6,2,7,2,6,7,5,6,0,4,7,7,7,5,6,5,5,0,4,2,8,5,7,6,0,3,8,7,9
%N A369632 Decimal expansion of Sum_{primes p} 1/(p*(p^2 - 1)).
%H A369632 <a href="/wiki/Index_to_constants#Start_of_section_P">Index to constants which are prime zeta sums</a> {1,1,1}
%F A369632 Equals Sum_{i>=1} 1/A127917(i) = (A136141 - A179119)/2.
%F A369632 Equals Sum_{k>=1} P(2*k+1), where P(s) is the prime zeta function. - _Amiram Eldar_, Jan 28 2024
%e A369632 0.22146337139279594342463643588459881748724095830455...
%t A369632 RealDigits[NSum[PrimeZetaP[2*k + 1], {k, 1, Infinity}, WorkingPrecision -> 100]][[1]] (* _Amiram Eldar_, Jan 28 2024 *)
%o A369632 (PARI) sumeulerrat(1/(p*(p^2-1))) \\ _Amiram Eldar_, Jan 28 2024
%Y A369632 Cf. A127917, A136141, A179119.
%K A369632 nonn,cons
%O A369632 0,1
%A A369632 _R. J. Mathar_, Jan 28 2024
%E A369632 More terms from _Amiram Eldar_, Jan 28 2024