Talk:Jordan-Pólya numbers: Difference between revisions
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== Factoring the 1050th number == |
== Factoring the 1050th number == |
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The 1050th jp number is 139,345,920,000. |
The 1050th jp number is 139,345,920,000. It factors as 7! * 5!^3 * 2!^4 or 8! * 5!^3 * 2! but the <del>Phix</del>/Julia/Wren entries are not getting that. Update: new algorithm posted. --[[User:Petelomax|Petelomax]] ([[User talk:Petelomax|talk]]) 05:31, 10 June 2023 (UTC) |
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<pre> |
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92,160 = 6! * 2!^7, or |
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92,160 = 5! * 3! * 2!^7 |
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18,345,885,696 = 4!^7 * 2!^2, or |
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18,345,885,696 = 3!^7 * 2!^16 |
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139,345,920,000 = 7! * 5!^3 * 2!^4 (only one?) |
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18,345,885,696 = 4!^7 * 2!^2, or |
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18,345,885,696 = 3!^7 * 2!^16 |
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724,775,731,200 = 6! * 5! * 2!^23, or |
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724,775,731,200 = 5!^2 * 3! * 2!^23 |
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9,784,472,371,200 = 6!^2 * 4!^2 * 2!^15, or |
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9,784,472,371,200 = 5!^2 * 3!^4 * 2!^19 |
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439,378,587,648,000 = 14! * 7! (only one?) |
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7,213,895,789,838,336 = 4!^8 * 2!^16, or |
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7,213,895,789,838,336 = 3!^8 * 2!^32 |
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</pre> |
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There are probably only a few ways to do each, maybe show them all? --[[User:Petelomax|Petelomax]] ([[User talk:Petelomax|talk]]) 23:52, 9 June 2023 (UTC) |