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A085114 Binary expansion of Sum 1/(p*2^p) where p runs through the set of Artin primes (primes with primitive root 2). 1

%I #13 Dec 15 2017 13:45:29

%S 0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,1,1,1,1,0,

%T 1,1,1,0,1,0,1,0,1,0,1,1,1,1,0,1,1,1,1,0,1,0,1,0,1,1,1,1,1,0,0,1,1,1,

%U 0,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,0,0,1,1,1,1,0

%N Binary expansion of Sum 1/(p*2^p) where p runs through the set of Artin primes (primes with primitive root 2).

%C David H. Bailey and Richard E. Crandal conjectured that this constant is 2-normal.

%D David H. Bailey and Richard E. Crandall, Random Generators and Normal Numbers, 2000

%F 0.00001100010001111100....

%o (PARI) sum(k=1,2000,if(znprimroot(prime(k))-2,0,1)*1./prime(k)/2^prime(k))

%Y Cf. A001122, A085108.

%K base,cons,nonn

%O 0,1

%A _Benoit Cloitre_, Aug 10 2003

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