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Smallest Numbers whose smallest expression as a sum of positive cubes requires exactly 7 cubes.

nonn,fini,nice

Anon

Anonymous

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It is conjectured that a(121)=8042 is the last term - Jud McCranie

J. Bohman and C.-E. Froberg, Numerical investigation of Waring's problem for cubes, Nordisk Tidskr. Informationsbehandling (BIT) 21 (1981), 118-122.

F. Bertault, O. Ramaré, and P. Zimmermann, <a href="httphttps://www.amsdoi.org/journals/mcom/1999-68-22710.1090/S0025-5718-99-01071-6/">On sums of seven cubes</a>, Math. Comp. 68 (1999), pp. 1303-1310.

Jan Bohman and Carl-Erik Froberg, <a href="http://dx.doi.org/10.1007/BF01934077">Numerical investigation of Waring's problem for cubes</a>, Nordisk Tidskr. Informationsbehandling (BIT) 21 (1981), 118-122.

It is conjectured that a(121)=8042 is the last term - Jud McCranie

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K. S. McCurley, An effective seven-cube theorem, J. Number Theory, 19 (1984), 176-183.

K. S. McCurley, <a href="http://dx.doi.org/10.1016/0022-314X(84)90100-8">An effective seven-cube theorem</a>, J. Number Theory, 19 (1984), 176-183.

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An unpublished result of Deshouillers-Hennecart-Landreau, combined with Lemma 3 from Bertault, Ramaré, & Zimmermann implies that if there are any terms beyond a(121) = 8042, they are greater than 1.62 * 10^34. - Charles R Greathouse IV, Jan 23 2014

T. D. Noe, <a href="/A018890/b018890.txt">Table of n, a(n) for n = 1..121</a>

F. Bertault, O. Ramaré, and P. Zimmermann, <a href="http://www.ams.org/journals/mcom/1999-68-227/S0025-5718-99-01071-6/">On sums of seven cubes</a>, Math. Comp. 68 (1999), pp. 1303-1310.

<a href="/index/Su#ssq">Index entries for sequences related to sums of cubes</a>

<a href="/index/Su#ssq">Index entries for sequences related to sums of cubes</a>

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