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 A096739 Numbers n such that n^4 can be written as a sum of four distinct positive 4th powers. 6
 353, 651, 706, 1059, 1302, 1412, 1765, 1953, 2118, 2471, 2487, 2501, 2604, 2824, 2829, 3177, 3255, 3530, 3723, 3883, 3906, 3973, 4236, 4267, 4333, 4449, 4557, 4589, 4942, 4949, 4974, 5002, 5208, 5281, 5295, 5463, 5491, 5543, 5648, 5658, 5729, 5859 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Every multiple of a member is a member. - David Wasserman, Nov 16 2007 Is this sequence the same as A003294? - David Wasserman, Nov 16 2007 REFERENCES D. Wells, Curious and interesting numbers, Penguin Books, p. 139. LINKS K. Rose and S. Brudno, More about four biquadrates equal one biquadrate, Math. Comp., 27 (1973), 491-494. Eric Weisstein's World of Mathematics, Diophantine Equation 4th Powers. EXAMPLE 353^4=30^4+120^4+272^4+315^4. 3723 is in the sequence since we have 3723^4 = 2270^4 + 2345^4 + 2460^4 + 3152^4. 706^4 = 60^4 + 240^4 + 544^4 + 630^4 1059^4 = 90^4 + 360^4 + 816^4 + 945^4 1302^4 = 480^4 + 680^4 + 860^4 + 1198^4 1412^4 = 120^4 + 480^4 + 1088^4 + 1260^4 CROSSREFS Cf. A003294 Sequence in context: A058375 A059635 A003294 * A039664 A054825 A304385 Adjacent sequences:  A096736 A096737 A096738 * A096740 A096741 A096742 KEYWORD nonn AUTHOR Lekraj Beedassy, May 30 2002 EXTENSIONS Corrected by Bo Asklund (boa(AT)mensa.se), Nov 05 2004 Corrected and extended by David Wasserman, Nov 16 2007 STATUS approved

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Last modified October 4 04:26 EDT 2022. Contains 357237 sequences. (Running on oeis4.)