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%I #20 Sep 26 2023 01:59:22
%S 353,651,706,1059,1302,1412,1765,1953,2118,2471,2487,2501,2604,2824,
%T 2829,3177,3255,3530,3723,3883,3906,3973,4236,4267,4333,4449,4557,
%U 4589,4942,4949,4974,5002,5208,5281,5295,5463,5491,5543,5648,5658,5729,5859
%N Numbers k such that k^4 can be written as a sum of four distinct positive 4th powers.
%C From _David Wasserman_, Nov 16 2007: (Start)
%C Every multiple of a term is a term.
%C Is this sequence the same as A003294? (End)
%D D. Wells, Curious and interesting numbers, Penguin Books, p. 139.
%H K. Rose and S. Brudno, <a href="http://dx.doi.org/10.1090/S0025-5718-1973-0329184-2">More about four biquadrates equal one biquadrate</a>, Math. Comp., 27 (1973), 491-494.
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/DiophantineEquation4thPowers.html">Diophantine Equation 4th Powers</a>.
%e Example solutions:
%e 353^4 = 30^4 + 120^4 + 272^4 + 315^4;
%e 706^4 = 60^4 + 240^4 + 544^4 + 630^4;
%e 1059^4 = 90^4 + 360^4 + 816^4 + 945^4;
%e 1302^4 = 480^4 + 680^4 + 860^4 + 1198^4;
%e 1412^4 = 120^4 + 480^4 + 1088^4 + 1260^4;
%e 3723^4 = 2270^4 + 2345^4 + 2460^4 + 3152^4.
%Y Cf. A003294, A176197.
%K nonn
%O 1,1
%A _Lekraj Beedassy_, May 30 2002
%E Corrected by Bo Asklund (boa(AT)mensa.se), Nov 05 2004
%E Corrected and extended by _David Wasserman_, Nov 16 2007
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