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

0,1

Links

Table of n, a(n) for n=0..97.

Example

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

Prog

(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

Crossrefs

Sequence in context: A176397 A245724 A021908 * A155079 A153608 A364618

Adjacent sequences: A093355 A093356 A093357 * A093359 A093360 A093361

Keyword

nonn,cons

Author

Yalcin Aktar, Apr 27 2004

Status

approved