A184083 Decimal expansion of product_{p=primes} (1+1/2^p).

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

Offset: 1

Author

R. J. Mathar, Jan 09 2011

Keywords

• cons
• nonn

Comments

Inverse of the constant A184084.

Examples

			(1+1/2^2) *(1+1/2^3) *(1+1/2^5) *(1+1/2^7) *(1+1/2^11)* .... = 1.4624312190069598013...
		

Programs

Mathematica

RealDigits[Times@@(1+1/2^Prime[Range[100]]),10,120][[1]] (* Harvey P. Dale, Sep 28 2013 *)

PARI

prodeuler(p=2,1e6,1.+(1.>>p)) \\ Charles R Greathouse IV, Aug 09 2022

Formula

Equals product_{p in A000040} (1+2^(-p)) = sum_{n>=0} A000586(n)/2^n.