cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A260823 Positive integers that are not divisible by any cube greater than 1 and cannot be written as the sum of two cubes of rational numbers.

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%I A260823 #44 Apr 14 2019 14:22:32
%S A260823 3,4,5,10,11,14,18,21,23,25,29,36,38,39,41,44,45,46,47,52,55,57,59,60,
%T A260823 66,73,74,76,77,82,83,93,95,99,100,101,102,109,111,113,116,118,119,
%U A260823 121,122,129,131,137,138,145,146,147,148,149,150,154,155,158,165
%N A260823 Positive integers that are not divisible by any cube greater than 1 and cannot be written as the sum of two cubes of rational numbers.
%C A260823 This sequence is infinite.
%C A260823 This sequence is the complement of (A020897 minus A046099), except 1.
%D A260823 W. Sierpiński, 250 Problems in Elementary Number Theory, 1970, page 112.
%H A260823 Steven R. Finch, <a href="http://www.people.fas.harvard.edu/~sfinch/csolve/fermat.pdf">On a Generalized Fermat-Wiles Equation</a> [broken link]
%H A260823 Steven R. Finch, <a href="http://web.archive.org/web/20010602030546/http://www.mathsoft.com/asolve/fermat/fermat.html">On a Generalized Fermat-Wiles Equation</a> [From the Wayback Machine]
%H A260823 Ernst S. Selmer, <a href="http://dx.doi.org/10.1007/BF02395746">The diophantine equation ax^3 + by^3 + cz^3 = 0</a>, Acta Math. 85 (1951), pp. 203-362.
%e A260823 a(4)=10 cannot be written as c^3 + d^3 where both c and d are rational numbers.
%e A260823 22 = (25469/9954)^3 + (17299/9954)^3, so 22 is not in the sequence.
%Y A260823 Cf. A003325, A020897, A046099.
%K A260823 nonn,more
%O A260823 1,1
%A A260823 _Marco Ripà_, Jul 31 2015