A093358 Decimal expansion of Sum_{n>=1} 1/prime(n)^n.

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

Offset: 0

Author

Yalcin Aktar, Apr 27 2004

Keywords

• nonn
• cons

Examples

			0.61953402... = 1/2^1 + 1/3^2+ 1/5^3 + 1/7^4+...
		

Programs

PARI

D=10.^default(realprecision);D=solve(x=3,9e9,L=log(x);D^(1/x)-x*(L+log(L)-1))\1;s=0.;n=0;forprime(p=2,prime(D),s+=p^-n++);s \\ Charles R Greathouse IV, Apr 12 2012