A132410 Positive integers whose sixth power is the sum of seven sixth powers (smallest primitive solutions).

1141, 1645, 1757, 2009, 2023, 2471, 3073, 3773, 3983, 4445, 4543, 4781, 4837, 4865, 4879, 4963, 5075, 5089, 5159, 5173, 5327, 5327, 5411, 5537, 5537, 5551, 5761, 5789, 5887, 6013, 6041, 6041, 6083, 6097, 6293, 6377, 6419, 6629, 6713

Offset

1,1

Comments

The terms given are the smallest integers that give primitive solutions. Repeated terms indicate multiple solutions.

Source: 1141, Lander, Parkin and Selfridge 1966; 1645 to 3073, Jean-Charles Meyrignac 1999; 3773 to 14945, Peter J Ansell, 2009

Links

Peter J Ansell, Table of n, a(n) for n = 1..172

Peter J Ansell, Sums of seven sixth powers

Greg Childers, RESTA's algorithm, ca. 2000, incomplete table with higher terms.

Index to sequences related to Diophantine equations (6,1,7)

Example

4879^6 = 2206^6 + 1263^6 + 4806^6 + 3126^6 + 2172^6 + 1446^6 + 18^6.

Crossrefs

Sequence in context: A261572 A252476 A020397 * A252428 A251773 A116174

Adjacent sequences: A132407 A132408 A132409 * A132411 A132412 A132413

Keyword

nonn

Author

Peter J. Ansell (COMP-MAN (at) live (dot) com), Apr 16 2009

Status

approved