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%I #16 Apr 02 2021 12:50:00
%S 1,0,7,9,8,3,9,7,4,9,5
%N Decimal expansion of the sum of the inverse twin prime products.
%C Summation up to the lesser prime(100000) gives 0.1079839703839.., summation up to the lesser prime(5000000) gives 0.10798397490956.. and summation up to the lesser prime(100000000) gives 0.107983974949..
%C The constant splits Brun's constant B=A065421 into two portions: define L=Sum_{n>=1} 1/A001359(n) and U=Sum_{n>=1} 1/A006512(n). Then B=U+L and this constant here = (L-U)/2. This leads to the estimates L=1.059064 and U=0.843096. - _R. J. Mathar_, Feb 05 2013
%e 0.10798397495... = 1/(3*5) + 1/(5*7) + 1/(11*13) + .. = Sum_{n>=1} 1/A037074(n).
%Y Cf. A001359, A006512, A037074, A065421.
%K nonn,cons,more
%O 0,3
%A _R. J. Mathar_, Jan 19 2013
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