“Catalan's Diophantine Problem”的概念、定义、习题解题方法及翻译-数学辞典

单词

Catalan's Diophantine Problem

释义

Catalan's Diophantine Problem

Find consecutive Powers, i.e., solutions to

excluding 0 and 1. Catalan's Conjecture is that the only solution is

, so 8 and 9 (

and

)are the only consecutive Powers (again excluding 0 and 1).

See also Catalan's Conjecture

References

Cassels, J. W. S. ``On the Equation . II.'' Proc. Cambridge Phil. Soc. 56, 97-103, 1960.

Inkeri, K. ``On Catalan's Problem.'' Acta Arith. 9, 285-290, 1964.

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