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Search: id:A139266
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| A139266 |
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Larger of two numbers in lowest terms whose sum, sum of squares and sum of cubes are all squares. |
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+0
2
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| 1, 345, 1562505, 184783370001360, 180972102858416484216240, 221277040503926652746669502425642824
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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To be in lowest terms the two numbers do not need to be coprime, but their highest common factor does need to be squarefree.
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LINKS
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Andrew Bremner, "A Diophantine system", International Journal of Mathematics and Mathematical Sciences, vol. 9, no. 2, pp. 413-415, 1986. doi:10.1155/S0161171286000522
Gentleman's Diary Problem (in Japanese)
sci.math discussion March 2008
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EXAMPLE
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a(1)=345 since 184 and 345 have the properties 184+345=529=23^2, 184^2+345^2=152881=391^2 and 184^3+345^3=47293129=6877^2.
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CROSSREFS
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Cf. A139265.
Sequence in context: A095963 A138043 A048904 this_sequence A063536 A045102 A059074
Adjacent sequences: A139263 A139264 A139265 this_sequence A139267 A139268 A139269
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KEYWORD
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nonn
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Apr 13 2008
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