Equal sums of four seventh powers

被引：7

作者：

Ekl, RL

机构：

[1] Lake Zurich, IL 60047

来源：

MATHEMATICS OF COMPUTATION | 1996年 / 65卷 / 216期

关键词：

Diophantine equation; number theory;

D O I：

10.1090/S0025-5718-96-00768-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the method used to find the smallest, nontrivial, positive integer solution of a(1)(7) + a(2)(7) + a(3)(7) + a(4)(7) = b(1)(7) + b(2)(7) +b(3)(7) + b(4)(7) is discussed. The solution is 149(7) + 123(7) + 14(7) + 10(7) = 146(7) + 129(7) + 90(7) + 15(7). Factors enabling this discovery are advances in computing power, available workstation memory, and the appropriate choice of optimized algorithms.

引用

页码：1755 / 1756

页数：2

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