Towards a proof of Pillai and Fermat-Catalan conjecturesReport as inadecuate

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1 ESSTT - Ecole Supérieure de Science et Technique de Tunis

Abstract : More than one century after its formulation by the Belgian mathematician Eugene Catalan, Preda Mihailescu has solved the open problem. But, is it all ? Mihailescu-s solution utilizes computation on machines, we propose here not really a proof as it is entended classically, but a resolution of an equation like the resolution of the polynomial equations of third and fourth degrees. This solution is totally algebraic and does not utilize, of course, computers or any kind of calculation.

keyword : Fermat-Catalan Pillai Catalan Conjectures Proof

Author: Jamel Ghannouchi -



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