Search: id:A050794
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%I A050794
%S A050794 1729,1092728,3375001,15438250,121287376,401947273,3680797185,
%T A050794 6352182209,7856862273,12422690497,73244501505,145697644729,
%U A050794 179406144001,648787169394,938601300672,985966166178,1594232306569
%N A050794 Consider the Diophantine equation x^3+y^3=z^3+1 (1<x<y<z) or 'Fermat 
               near misses'. Arrange solutions by increasing values of z (see A050791). 
               Sequence gives values of x^3+y^3=z^3+1. For corresponding values 
               of x, y, z see A050792, A050793, A050791 respectively.
%C A050794 Note that a(1)=1729 is the Hardy-Ramanujan number. [From Omar E. Pol 
               (info(AT)polprimos.com), Jan 28 2009]
%D A050794 Ian Stewart, "Game, Set and Math", Chapter 8, 'Close Encounters of the 
               Fermat Kind', Penguin Books, Ed. 1991, pp. 107-124.
%D A050794 David Wells, "Curious and Interesting Numbers", Revised Ed. 1997, Penguin 
               Books, On number "729", p. 147.
%H A050794 Uwe Hollerbach, <a href="b050794.txt">Table of n, a(n) for n = 1..74</
               a>
%H A050794 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               DiophantineEquation3rdPowers.html">Diophantine Equation - 3rd Powers</
               a>
%e A050794 E.g. 577^3 + 2304^3 = 2316^3 + 1 = 12422690497.
%Y A050794 Cf. A050791, A050792, A050793.
%Y A050794 Sequence in context: A154716 A154728 A033502 this_sequence A138130 A048949 
               A130876
%Y A050794 Adjacent sequences: A050791 A050792 A050793 this_sequence A050795 A050796 
               A050797
%K A050794 nonn
%O A050794 1,1
%A A050794 Patrick De Geest (pdg(AT)worldofnumbers.com), Sep 15 1999.
%E A050794 Extended through 1594232306569 by Jud McCranie (j.mccranie(AT)comcast.net), 
               Dec 25 2000

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