Taxicab numbers: Difference between revisions
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{{task|Mathematics}} |
{{task|Mathematics}} |
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A [[wp:Hardy–Ramanujan number|taxicab number]] (the definition that is being used here) is a positive integer that can be expressed as the sum of two positive cubes in more than one way. |
A [[wp:Hardy–Ramanujan number|taxicab number]] (the definition that is being used here) is a positive integer that can be expressed as the sum of two positive cubes in more than one way. |
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The first taxicab number is 1729 : 1<sup>3</sup> + 12<sup>3</sup> = 9<sup>3</sup> + 10<sup>3</sup> |
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The first taxicab number is '''1729''', which is: |
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::: 1<sup>3</sup> + 12<sup>3</sup> and |
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::: 9<sup>3</sup> + 10<sup>3</sup>. |
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;Task requirements |
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Taxicab numbers are also known as: |
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::* taxi numbers |
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::* taxi-cab numbers |
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::* taxi cab numbers |
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::* Hardy-Ramanujan numbers |
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;Task: |
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* Compute and display the lowest 25 taxicab numbers (in numeric order, and in a human-readable format). |
* Compute and display the lowest 25 taxicab numbers (in numeric order, and in a human-readable format). |
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* For each of the taxicab numbers, show the number as well as it's constituent cubes. |
* For each of the taxicab numbers, show the number as well as it's constituent cubes. |
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