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Catalan’s conjecture is proven. (Slovenian. English summary) Zbl 1255.01010

Summary: Catalan’s conjecture predicts that 8 and 9 are the only consecutive perfect powers among positive integers. The conjecture was recently proven by Preda Mihălescu. In the paper, the history of the conjecture is presented.

MSC:

01A65 Development of contemporary mathematics
11-03 History of number theory
11D61 Exponential Diophantine equations
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