Bračič, Janko Catalan’s conjecture is proven. (Slovenian. English summary) Zbl 1255.01010 Obz. Mat. Fiz. 52, No. 4, 120-127 (2005). 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 Keywords:Catalan’s conjecture PDFBibTeX XMLCite \textit{J. Bračič}, Obz. Mat. Fiz. 52, No. 4, 120--127 (2005; Zbl 1255.01010)