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A003824
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Numbers that are the sum of two 4th powers in more than one way (primitive solutions).
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8
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635318657, 3262811042, 8657437697, 68899596497, 86409838577, 160961094577, 2094447251857, 4231525221377, 26033514998417, 37860330087137, 61206381799697, 76773963505537, 109737827061041, 155974778565937
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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COMMENTS
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The prime divisors of elements of A003824 all appear to be in A045390. - David Wilson, May 28 2010
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REFERENCES
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L. E. Dickson, History of The Theory of Numbers, Vol. 2 pp. 644-7, Chelsea NY 1923
R. K. Guy, Unsolved Problems in Number Theory, D1.
J. Leech, Some solutions of Diophantine equations, Proc. Camb. Phil. Soc., 53 (1957), 778-780.
E. Rosenstiel et al., The four least solutions ..., Bull. Inst. App. Math., vol. 27, 1991, pp. 155-157.
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LINKS
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D. Wilson, Table of n, a(n) for n = 1..516 [The b-file was computed from Bernstein's list]
D. J. Bernstein, List of 516 primitive solutions p^4 + q^4 = r^4 + s^4 = a(n)
D. J. Bernstein, Enumerating solutions to p(a) + q(b) = r(c) + s(d)
J. Leech, Some solutions of Diophantine equations, Proc. Camb. Phil. Soc., 53 (1957), 778-780.MR90602
Carlos Rivera, Puzzle 103
Eric Weisstein's World of Mathematics, Diophantine equations, 4th powers
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CROSSREFS
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Cf. A018786.
Sequence in context: A184216 A123705 A018786 * A105382 A032432 A035795
Adjacent sequences: A003821 A003822 A003823 * A003825 A003826 A003827
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane.
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EXTENSIONS
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More terms from David W. Wilson Aug 15 1996.
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STATUS
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approved
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