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%I #22 Apr 03 2023 10:36:10
%S 4,3,2,3,3,2,0,8,7,1,8,5,9,0,2,8,6,8,9,0,9,2,5,3,7,9,3,2,4,1,9,9,9,9,
%T 6,3,7,0,5,1,1,0,8,9,6,8,7,7,6,5,1,3,1,0,3,2,8,1,5,2,0,6,7,1,5,8,5,5,
%U 3,9,0,5,1,1,5,2,9,5,8,8,6,6,4,2,4,7,7,3,0,2,3,4,6,7,5,3,0,7,3,1,2,9
%N Decimal expansion of continued fraction 1/(2+1/(3+1/(5+1/(7+1/(11+...))))).
%C Decimal expansion of the constant whose continued fraction form is the sequence of all the prime numbers.
%H Michael Hartley, <a href="https://t5k.org/curios/page.php?number_id=2750">0.4323320871859028689..</a>, Prime Curios!
%H G. L. Honaker, Jr., <a href="https://t5k.org/curios/page.php?number_id=2750">Prime Curios! 0.4323320871859028689...</a>
%H Marek Wolf, <a href="http://arxiv.org/abs/1003.4015">Continued fractions constructed from prime numbers</a>, arxiv:1003.4015 [math.NT], 2010.
%F 1/A064442. - _Franklin T. Adams-Watters_, Jul 31 2009
%e 0.4323320871859028689...
%t RealDigits[1/FromContinuedFraction@ Prime@ Range@ 34, 10, 111] (* or *)
%t RealDigits[ Fold[1/(#1 + #2) &, 1, Reverse@ Prime@ Range@35], 10, 111] (* _Robert G. Wilson v_, Dec 26 2016 *)
%Y Cf. A000040, A084256, A084257, A152062
%K nonn,cons
%O 0,1
%A _Frank Ellermann_, May 23 2003
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