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Preprints, Working Papers, ... Year : 2012

A proof of Pillai conjecture

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. Then, we generalize the proof to Pillai conjecture.
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Dates and versions

hal-00698687 , version 1 (17-05-2012)
hal-00698687 , version 2 (07-06-2012)
hal-00698687 , version 3 (18-06-2012)
hal-00698687 , version 4 (19-06-2012)
hal-00698687 , version 5 (23-06-2012)
hal-00698687 , version 6 (25-06-2012)
hal-00698687 , version 7 (25-06-2012)
hal-00698687 , version 8 (29-06-2012)
hal-00698687 , version 9 (30-06-2012)
hal-00698687 , version 10 (02-07-2012)
hal-00698687 , version 11 (02-07-2012)
hal-00698687 , version 12 (15-07-2012)
hal-00698687 , version 13 (23-07-2012)
hal-00698687 , version 14 (24-07-2012)
hal-00698687 , version 15 (01-11-2012)
hal-00698687 , version 16 (02-11-2012)
hal-00698687 , version 17 (04-11-2012)
hal-00698687 , version 18 (05-11-2012)
hal-00698687 , version 19 (17-12-2012)
hal-00698687 , version 20 (31-01-2013)
hal-00698687 , version 21 (31-01-2013)
hal-00698687 , version 22 (28-03-2013)

Identifiers

  • HAL Id : hal-00698687 , version 18

Cite

Jamel Ghannouchi. A proof of Pillai conjecture. 2012. ⟨hal-00698687v18⟩
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