|
%I #18 Apr 03 2023 10:36:10
%S 6,7,7,4,0,1,7,7,6,1,3,0,6,6,0,4,2,7,9,7,6,3,0,6,3,1,6,4,3,1,9,6,7,1,
%T 9,1,9,9,2,5,2,1,4,1,2,8,4,1,9,5,4,8,9,3,3,0,7,1,4,5,0,6,8,3,4,6,7,2,
%U 7,2,3,2,3,2,4,3,2,0,2,2,8,1,0,9,0,5,2,2,7,7,2,8,2,0,9,9,0,0,5,9
%N Decimal expansion of x such that x^2 + x^3 + x^5 + x^7 + x^11 + x^13 + x^17 + ... = 1.
%C A constant appearing in the asymptotic formula for the number of prime additive compositions. See Finch's article.
%H S. R. Finch, <a href="/A001055/a001055.pdf">Kalmar's composition constant</a>, June 5, 2003. [Cached copy, with permission of the author]
%H G. L. Honaker, Jr., <a href="https://t5k.org/curios/page.php?number_id=2749">Prime Curios!: 0.6774017761306604279...</a>
%H Prime Curios, <a href="https://t5k.org/curios/ByOne.php?submitter=Hartley">Michael Hartley</a>.
%e 0.67740177613066042797630631643196719199252141284...
%t RealDigits[x/.FindRoot[1==Sum[x^Prime[n], {n, 150}], {x, {0, 1}}, WorkingPrecision->100]][[1]] (* _T. D. Noe_, Oct 14 2003 *)
%Y Cf. A000040, A084255, A084257.
%K nonn,cons
%O 0,1
%A _Frank Ellermann_, May 23 2003
%E More terms from _T. D. Noe_, Oct 14 2003
|
