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 A139266 Larger of two numbers in lowest terms whose sum, sum of squares and sum of cubes are all squares. 4
 1, 345, 1562505, 184783370001360, 180972102858416484216240, 221277040503926652746669502425642824 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 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. LINKS Table of n, a(n) for n=0..5. 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 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. CROSSREFS Cf. A139265. Sequence in context: A236731 A138043 A048904 * A063536 A045102 A225934 Adjacent sequences: A139263 A139264 A139265 * A139267 A139268 A139269 KEYWORD nonn AUTHOR Henry Bottomley, Apr 13 2008 STATUS approved

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Last modified June 10 05:41 EDT 2023. Contains 363195 sequences. (Running on oeis4.)