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A085108
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Decimal expansion of sum 1/(p*2^p) where p runs through the set of Artin primes (primes with primitive root 2).
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1
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0, 4, 7, 9, 7, 0, 5, 4, 6, 3, 4, 6, 4, 4, 6, 5, 2, 3, 4, 8, 8, 2, 8, 7, 3, 0, 9, 9, 8, 0, 9, 4, 7, 3, 2, 3, 2, 0, 5, 8, 2, 4, 5, 4, 0, 3, 1, 3, 0, 4, 0, 4, 3, 0, 4, 8, 3, 3, 9, 8, 2, 3, 2, 0, 4, 5, 1, 7, 2, 1, 2, 9, 2, 9, 4, 9, 9, 1, 0, 1, 7, 4, 4, 7, 8, 4, 8, 7, 9, 0, 3, 7, 7, 1, 3, 0, 0, 7, 6, 7, 7, 5, 0, 1
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OFFSET
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0,2
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COMMENTS
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David H. Bailey and Richard E. Crandal conjectured that this constant is 2-normal.
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REFERENCES
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David H. Bailey and Richard E. Crandall, Random Generators and Normal Numbers, 2000
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LINKS
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FORMULA
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c=0.0479705463464....
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MATHEMATICA
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Join[{0}, RealDigits[Total[1/(# 2^#)&/@Select[Prime[Range[100]], PrimitiveRoot[ #, 2]==2&]], 10, 120][[1]]] (* Harvey P. Dale, Apr 02 2018 *)
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PROG
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(PARI) sum(k=1, 2000, if(znprimroot(prime(k))-2, 0, 1)*1./prime(k)/2^prime(k))
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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