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On a Conjecture of Erdos on 3-Powerful Numbers
Authors:Nitaj   Abderrahmane
Affiliation:Déepartement de Mathématiques, Université de Caen 14032, Caen Cedex, France
Abstract:
A conjecture of P. Erdös says that the diophantine equationx+y = z has infinitely many solutions with (x,y) = 1 and suchthat if a prime p divides xyz, then p3 divides xyz. In thispaper, we give a proof of this conjecture.
Keywords:
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