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A093358 Decimal expansion of Sum_{n>=1} 1/prime(n)^n. 2

%I #18 Feb 24 2024 01:09:05

%S 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,

%T 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,

%U 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

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

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

%o (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

%K nonn,cons

%O 0,1

%A _Yalcin Aktar_, Apr 27 2004

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Last modified September 13 22:05 EDT 2024. Contains 375910 sequences. (Running on oeis4.)