Suzanne Set
المؤلف:
Sloane, N. J. A.
المصدر:
Sequences A018252, A102216, and A102217 in "The On-Line Encyclopedia of Integer Sequences."
الجزء والصفحة:
...
7-11-2020
1135
Suzanne Set
The 
th Suzanne set 
is defined as the set of composite numbers 
for which 
and 
, where
and
Every Suzanne set has an infinite number of elements.
The following table gives the first few Suzanne numbers in 
for small 
.
 |
OEIS |
 |
| 1 |
A018252 |
1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, ... |
| 2 |
A102216 |
4, 8, 15, 22, 26, 35, 42, 44, 60, 62, 64, ... |
| 3 |
A102217 |
9, 24, 27, 42, 60, 72, 78, 81, 105, 114, ... |
The Suzanne set 
is a subset of the Monica set 
.
REFERENCES:
Sloane, N. J. A. Sequences A018252, A102216, and A102217 in "The On-Line Encyclopedia of Integer Sequences."
Smith, M. "Cousins of Smith Numbers: Monica and Suzanne Sets." Fib. Quart. 34, 102-104, 1996.
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