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A074240 Numbers n such that n-th prime = sigma(sigma(n)) + 1. +0
1
1, 110, 798, 8904 (list; graph; listen)
OFFSET

1,2

COMMENT

There are no other numbers < 3400000. - Stefan Steinerberger (hansibal(AT)hotmail.com), Nov 20 2005

EXAMPLE

sigma(sigma(110)) + 1 = sigma(216) + 1 = 601 = prime(110).

MATHEMATICA

Select[Range[10^6], Prime[ # ] == DivisorSigma[1, DivisorSigma[1, # ]] + 1 &]

PROGRAM

(MuPAD): ind := 1; nu := 2; repeat w := numlib::sigma(numlib::sigma(ind))+1; if w = nu then print(ind); end_if; ind := ind+1; nu := nextprime(nu+1); until ind>3400000 end_repeat; (Steinerberger)

CROSSREFS

Sequence in context: A134213 A028995 A063668 this_sequence A008450 A035836 A008395

Adjacent sequences: A074237 A074238 A074239 this_sequence A074241 A074242 A074243

KEYWORD

nonn

AUTHOR

Joseph L. Pe (joseph_l_pe(AT)hotmail.com), Sep 18 2002

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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