|
| |
|
|
A059047
|
|
Numbers x such that sigma(x)-x divides x-1, other than prime powers.
|
|
2
| |
|
|
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
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,1
|
|
|
COMMENTS
| Primes and prime powers (A000961) 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.
|
|
|
REFERENCES
| H. J. J. te Riele, "Rules for constructing hyperperfect numbers", Fibonacci Quarterly, 22(1)1984, 50-60. See equation (3), the set M*.
|
|
|
LINKS
| Donovan Johnson, Table of n, a(n) for n = 1..5263 (terms < 10^11)
H. J. J. te Riele, Rules for constructing hyperperfect numbers
|
|
|
EXAMPLE
| For x=77, sigma(77)=96, 96-77=19, which divides 77-1.
|
|
|
CROSSREFS
| Cf. A059046, A000203, A000961, A034897.
Sequence in context: A020304 A154058 A027574 * A046149 A205434 A125581
Adjacent sequences: A059044 A059045 A059046 * A059048 A059049 A059050
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Jud McCranie (JudMcCranie(AT)ugaalum.uga.edu), Dec 18 2000
|
|
|
EXTENSIONS
| Offset corrected by Donovan Johnson (donovan.johnson(AT)yahoo.com), Nov 03 2011
|
| |
|
|
