A184082 Decimal expansion of product_{p=primes} (1-1/2^p).

6, 3, 0, 3, 8, 4, 4, 0, 5, 9, 9, 1, 3, 6, 6, 1, 5, 4, 6, 0, 2, 2, 2, 5, 8, 2, 2, 9, 3, 1, 3, 2, 9, 2, 4, 6, 6, 9, 4, 9, 4, 1, 4, 4, 8, 4, 6, 7, 2, 9, 9, 2, 9, 5, 6, 2, 0, 1, 8, 1, 0, 7, 1, 4, 3, 0, 0, 8, 6, 8, 0, 1, 5, 2, 2, 2, 2, 5, 2, 3, 9, 7, 2, 2, 3, 4, 0, 9, 9

Offset: 0

Author

R. J. Mathar, Jan 09 2011

Keywords

• cons
• nonn

Examples

			(1-1/2^2) *(1-1/2^3) *(1-1/2^5) *(1-1/2^7) *(1-1/2^11) *.... = 0.63038440599136615460222582...
		

Programs

Mathematica

RealDigits[Times@@(1-1/2^Prime[Range[100]]),10,120][[1]] (* Harvey P. Dale, Jun 26 2011 *)

Formula

Equals product_{p in A000040} (1-2^(-p)) = sum_{n>=0} A046675(n)/2^n.