A039664 Numbers k such that k^4 can be written as a sum of four positive 4th powers with no common factor.

353, 651, 2487, 2501, 2829, 3723, 3973, 4267, 4333, 4449, 4949, 5281, 5463, 5491, 5543, 5729, 6167, 6609, 6801, 7101, 7209, 7339, 7703, 8373, 8433, 8493, 8517, 8577, 8637, 9137, 9243, 9431, 9519, 9639, 9797, 9877, 10419, 10939, 11681, 11757

Offset

1,1

Links

T. D. Noe, Table of n, a(n) for n = 1..1003 (from Wroblewski, with duplicate n removed)

L. J. Lander, T. R. Parkin and J. L. Selfridge, A survey of equal sums of like powers, Math. Comp. vol. 21 no. 99, 1967, pp. 446-459, Table 1.

Eric Weisstein's World of Mathematics, Diophantine Equation - 4th powers

Jaroslaw Wroblewski, Exhaustive list of 1009 solutions to (4,1,4) below 222,000

Crossrefs

Cf. A003294 (nonprimitive solutions allowed), A096739.

Sequence in context: A059635 A003294 A096739 * A054825 A304385 A142565

Adjacent sequences: A039661 A039662 A039663 * A039665 A039666 A039667

Keyword

nonn

Author

Felice Russo

Extensions

Edited by Don Reble, Jul 07 2007

Qualifier "positive" added to the name by Jianing Song, Jan 24 2020

Status

approved