A364968 Primitive solutions k to the exponential Diophantine equation k^6 = Sum_{i=1..8} y_i^6 with y_i > 0.

251, 431, 440, 455, 493, 499, 502, 547, 559, 581, 583, 607, 623

Offset

1,1

Links

Table of n, a(n) for n=1..13.

L. J. Lander, T. R. Parkin and J. L. Selfridge, A Survey of Equal Sums of Like Powers, Mathematics of Computation, Vol. 21, No. 99 (Jul., 1967), pp. 446-459. Table VIII

Index to sequences related to Diophantine equations (6,1,8)

Example

251 is a term as 251^6 = 8^6 + 12^6 + 30^6 + 78^6 + 102^6 + 138^6 + 165^6 + 246^6.

Crossrefs

Sequence in context: A033449 A271581 A142419 * A161854 A234928 A142569

Adjacent sequences: A364965 A364966 A364967 * A364969 A364970 A364971

Keyword

nonn,more

Author

R. J. Mathar, Aug 16 2023

Status

approved