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

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, 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, 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

Offset: 0

Author

Frank Ellermann, May 23 2003

Keywords

• nonn
• cons

Comments

A constant appearing in the asymptotic formula for the number of prime additive compositions. See Finch's article.

Examples

			0.67740177613066042797630631643196719199252141284...
		

Links

• Steven R. Finch, Kalmar's composition constant, June 5, 2003. [Cached copy, with permission of the author]
• G. L. Honaker, Jr., Prime Curios!: 0.6774017761306604279...
• Prime Curios, Michael Hartley.

Crossrefs

Cf. A000040, A084255, A084257.

Programs

Mathematica

RealDigits[x/.FindRoot[1==Sum[x^Prime[n], {n, 150}], {x, {0, 1}}, WorkingPrecision->100]][[1]] (* T. D. Noe, Oct 14 2003 *)

Extensions

More terms from T. D. Noe, Oct 14 2003