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A181503
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Slowest-growing sequence of primes p where 1/(p+1) sums to 1 without actually reaching it.
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5
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2, 3, 5, 7, 11, 29, 127, 1931, 309121, 47777896349, 76090912606600214447, 120621395443859821620817698234224534627, 63813688766771960235613705494151343867425896610637722399417500492543759703
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OFFSET
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1,1
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COMMENTS
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The sum of 1/(p+1) over p = 2, 3, 5, 7, 11, 23 = A046689 is exactly 1.
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LINKS
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MATHEMATICA
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a[n_] := a[n] = Block[{sm = Sum[1/(a[i] + 1), {i, n - 1}]}, NextPrime[ Max[ a[n - 1], 1/(1 - sm)]]]; a[0] = 1; Array[a, 15] (* Robert G. Wilson v, Oct 27 2010 *)
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CROSSREFS
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KEYWORD
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nice,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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