The th Suzanne set is defined as the set of composite numbers for which and , where
(1)
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(2)
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and
(3)
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(4)
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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 .