“Diophantine Equation--10th Powers”的概念、定义、习题解题方法及翻译-数学辞典

单词

Diophantine Equation--10th Powers

释义

Diophantine Equation--10th Powers

The 2-1 equation

(1)

is a special case of Fermat's Last Theorem with

, and so has no solution. The smallest valuesfor which

-1,

-2, etc., have solutions are 23, 19, 24, 23, 16, 27, and 7, corresponding to

(2)

(3)

(4)


	(5)


	(6)


	(7)


	(8)

(Lander et al. 1967).

References

Lander, L. J.; Parkin, T. R.; and Selfridge, J. L. ``A Survey of Equal Sums of Like Powers.'' Math. Comput. 21, 446-459, 1967.

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