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On a Conjecture of Erdös on 3‐Powerful Numbers

On a Conjecture of Erdös on 3‐Powerful Numbers A conjecture of P. Erdös says that the diophantine equation x+y = z has infinitely many solutions with (x,y) = 1 and such that if a prime p divides xyz, then p3 divides xyz. In this paper, we give a proof of this conjecture. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Wiley

On a Conjecture of Erdös on 3‐Powerful Numbers

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References (5)

Publisher
Wiley
Copyright
© London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/blms/27.4.317
Publisher site
See Article on Publisher Site

Abstract

A conjecture of P. Erdös says that the diophantine equation x+y = z has infinitely many solutions with (x,y) = 1 and such that if a prime p divides xyz, then p3 divides xyz. In this paper, we give a proof of this conjecture.

Journal

Bulletin of the London Mathematical Society – Wiley

Published: Jul 1, 1995

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