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Search: id:A139265
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| A139265 |
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Smaller of two numbers in lowest terms whose sum, sum of squares and sum of cubes are all squares. For larger number see A139266. |
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2
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| 0, 184, -1143896, 147916017521041, -49439318996063948240399, 53160561724398540948189501125090985
(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)=184 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. A139266.
Adjacent sequences: A139262 A139263 A139264 this_sequence A139266 A139267 A139268
Sequence in context: A035831 A094631 A060491 this_sequence A129311 A136048 A015273
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KEYWORD
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sign
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Apr 13 2008
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