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A084256 Decimal expansion of x such that x^2 + x^3 + x^5 + x^7 + x^11 + x^13 + x^17 + ... = 1. 6

%I

%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="http://primes.utm.edu/curios/page.php?number_id=2749">Prime Curios!: 0.6774017761306604279...</a>

%H Prime Curios, <a href="http://primes.utm.edu/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

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Last modified June 18 22:00 EDT 2021. Contains 345125 sequences. (Running on oeis4.)