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Search: id:A059047
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| A059047 |
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Numbers x such that sigma(x)-x divides x-1, other than prime powers. |
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+0
2
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| 77, 611, 1073, 2033, 5293, 6031, 9983, 13969, 15947, 23489, 25241, 40301, 49901, 50249, 51101, 56759, 65017, 71677, 85079, 97217, 97783, 98099, 99101, 131237, 142091, 160133, 165101, 180767, 189281, 210367, 213053, 228719, 259741, 303239
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OFFSET
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0,1
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COMMENT
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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.
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REFERENCES
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H. J. J. te Riele, "Rules for constructing hyperperfect numbers", Fibonacci Quarterly, 22(1)1984, 50-60. See equation (3), the set M*.
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LINKS
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H. J. J. te Riele, Rules for constructing hyperperfect numbers
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EXAMPLE
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For x=77, sigma(77)=96, 96-77=19, which divides 77-1.
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CROSSREFS
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Cf. A059046, A000203, A000961, A034897.
Sequence in context: A020304 A154058 A027574 this_sequence A046149 A125581 A093277
Adjacent sequences: A059044 A059045 A059046 this_sequence A059048 A059049 A059050
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KEYWORD
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nonn
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AUTHOR
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Jud McCranie (j.mccranie(AT)comcast.net), Dec 18 2000
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