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A018787
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Numbers that are the sum of two positive cubes in at least three ways (all solutions).
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6
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87539319, 119824488, 143604279, 175959000, 327763000, 700314552, 804360375, 958595904, 1148834232, 1407672000, 1840667192, 1915865217, 2363561613, 2622104000, 3080802816, 3235261176, 3499524728, 3623721192, 3877315533, 4750893000, 5544709352, 5602516416
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OFFSET
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1,1
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REFERENCES
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J. Leech, Some solutions of Diophantine equations, Proc. Camb. Phil. Soc., 53 (1957), 778-780.
R. K. Guy, Unsolved Problems in Number Theory, D1.
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LINKS
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Uwe Hollerbach, Taxi, Taxi! [Replacement link to Wayback Machine]
Uwe Hollerbach, Taxi! Taxi! [Cached copy from Wayback Machine, html version of top page only]
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MATHEMATICA
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a=Sort[Flatten@Table[n^3+m^3, {m, 2000}, {n, m-1, 1, -1}]]; f3[l_]:=Module[{t={}}, Do[If[l[[n]]==l[[n+2]], AppendTo[t, l[[n]]]], {n, 1, Length[l]-2}]; t]; f3[a] (* Vladimir Joseph Stephan Orlovsky, Jan 21 2012 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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