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Positive integers whose sixth power is the sum of seven sixth powers (smallest primitive solutions).
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%I #15 Aug 20 2023 10:49:46

%S 1141,1645,1757,2009,2023,2471,3073,3773,3983,4445,4543,4781,4837,

%T 4865,4879,4963,5075,5089,5159,5173,5327,5327,5411,5537,5537,5551,

%U 5761,5789,5887,6013,6041,6041,6083,6097,6293,6377,6419,6629,6713

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

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

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

%H Peter J Ansell, <a href="/A132410/b132410.txt">Table of n, a(n) for n = 1..172</a>

%H Peter J Ansell, <a href="https://sites.google.com/site/sevensixthpowers/">Sums of seven sixth powers</a>

%H Greg Childers, <a href="http://euler.free.fr/resta.htm">RESTA's algorithm</a>, ca. 2000, incomplete table with higher terms.

%H <a href="/index/Di#Diophantine">Index to sequences related to Diophantine equations</a> (6,1,7)

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

%K nonn

%O 1,1

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