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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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1
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OFFSET
| 0,2
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COMMENTS
| 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
| 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
| 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
| Cf. A139265.
Sequence in context: A095963 A138043 A048904 * A063536 A045102 A059074
Adjacent sequences: A139263 A139264 A139265 * A139267 A139268 A139269
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KEYWORD
| nonn
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AUTHOR
| Henry Bottomley (se16(AT)btinternet.com), Apr 13 2008
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