

A181503


Slowestgrowing sequence of primes p where 1/(p+1) sums to 1 without actually reaching it.


5



2, 3, 5, 7, 11, 29, 127, 1931, 309121, 47777896349, 76090912606600214447, 120621395443859821620817698234224534627, 63813688766771960235613705494151343867425896610637722399417500492543759703
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OFFSET

1,1


COMMENTS

The sum of 1/(p+1) over p = 2, 3, 5, 7, 11, 23 = A046689 is exactly 1.


LINKS

Robert G. Wilson v, Table of n, a(n) for n = 1..17 . [From Robert G. Wilson v, Oct 27 2010]


MATHEMATICA

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 *)


CROSSREFS

Similar to A075442. See also A046689.
Sequence in context: A343423 A175711 A099160 * A028911 A028912 A075236
Adjacent sequences: A181500 A181501 A181502 * A181504 A181505 A181506


KEYWORD

nice,nonn


AUTHOR

Aaron Meyerowitz, Oct 24 2010


EXTENSIONS

a(12) onwards from Robert G. Wilson v, Oct 27 2010


STATUS

approved



