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| [[Carmichael number]] || third among them || [[561]], [[1105]], [[1729]], ... | | [[Carmichael number]] || third among them || [[561]], [[1105]], [[1729]], ... | ||
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| [[Poulet number]] ([[Fermat pseudoprime to base 2) || sixth among them || [[341]], [[561]], [[645]], [[1105]], [[1387]], [[1729]], [[1905]], [[2047]] | | [[Poulet number]] ([[Fermat pseudoprime]] to base 2) || sixth among them || [[341]], [[561]], [[645]], [[1105]], [[1387]], [[1729]], [[1905]], [[2047]] | ||
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Revision as of 20:29, 2 January 2012
This article is about a particular natural number.|View all articles on particular natural numbers
Summary
Names
This number is called the Hardy-Ramanujan number after a conversation between Hardy and Ramanujan where Ramanujan observed that it is the smallest number expressible as the sum of two cubes in two distinct ways: .
Factorization
Properties and families
| Property or family | Parameter values | First few numbers |
|---|---|---|
| Carmichael number | third among them | 561, 1105, 1729, ... |
| Poulet number (Fermat pseudoprime to base 2) | sixth among them | 341, 561, 645, 1105, 1387, 1729, 1905, 2047 |