Search: id:A059047
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%I A059047
%S A059047 77,611,1073,2033,5293,6031,9983,13969,15947,23489,25241,40301,49901,
%T A059047 50249,51101,56759,65017,71677,85079,97217,97783,98099,99101,131237,
%U A059047 142091,160133,165101,180767,189281,210367,213053,228719,259741,303239
%N A059047 Numbers x such that sigma(x)-x divides x-1, other than prime powers.
%C A059047 Primes and prime powers (A00961) also satisfy this equation. A059046 
               is the union of A000961 and A059047. These numbers are related to 
               hyperperfect numbers (A034897) in the cited paper by te Riele.
%D A059047 H. J. J. te Riele, "Rules for constructing hyperperfect numbers", Fibonacci 
               Quarterly, 22(1)1984, 50-60. See equation (3), the set M*.
%H A059047 H. J. J. te Riele, <a href="http://repos.project.cwi.nl:8080/nl/repository_db/
               all_publications/2569">Rules for constructing hyperperfect numbers</
               a>
%e A059047 For x=77, sigma(77)=96, 96-77=19, which divides 77-1.
%Y A059047 Cf. A059046, A000203, A000961, A034897.
%Y A059047 Sequence in context: A020304 A154058 A027574 this_sequence A046149 A125581 
               A093277
%Y A059047 Adjacent sequences: A059044 A059045 A059046 this_sequence A059048 A059049 
               A059050
%K A059047 nonn
%O A059047 0,1
%A A059047 Jud McCranie (j.mccranie(AT)comcast.net), Dec 18 2000

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