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A094289
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Decimal expansion of Sum(1/p^p) where p is prime.
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11
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2, 8, 7, 3, 5, 8, 2, 5, 1, 3, 0, 6, 2, 2, 4, 1, 7, 9, 7, 3, 6, 4, 1, 8, 0, 4, 5, 8, 7, 8, 9, 3, 2, 2, 0, 6, 9, 5, 5, 9, 0, 8, 8, 0, 2, 6, 8, 5, 8, 8, 1, 7, 0, 9, 2, 9, 9, 4, 9, 9, 3, 6, 8, 9, 4, 7, 0, 8, 9, 3, 2, 9, 2, 7, 8, 6, 8, 8, 9, 3, 9, 7, 7, 0, 2, 0, 9, 1, 2, 4, 2, 8, 0, 0, 2, 9, 0, 9, 0, 0, 5, 5, 9, 2, 9
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OFFSET
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0,1
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COMMENTS
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This constant approximately equals 5226294/18187381. - Yalcin Aktar, Nov 05 2006
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LINKS
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EXAMPLE
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0.287358251306224179736418045878932206955908802685881709299499368947089...
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MATHEMATICA
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digits = 105; n0 = 10; dn = 10; Clear[f]; f[n_] := f[n] = RealDigits[ Sum[ 1/Prime[k]^Prime[k], {k, 1, n}], 10, digits+5] // First; f[n = n0]; f[n = n+dn]; While[Print["n = ", n]; f[n] != f[n-dn], n = n+dn]; Take[f[n], digits] (* Jean-François Alcover, Nov 22 2013 *)
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PROG
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(PARI) ptothep(n) = { local(x, s, a); default(realprecision, 200); s=0; forprime(x=2, n, s+=1./x^x); a=Vec(Str(s)); for(x=3, n, print1(eval(a[x]), ", ")) }
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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