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On a Conjecture of Erdös on 3‐Powerful Numbers
Author(s) -
Nitaj Abderrahmane
Publication year - 1995
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/27.4.317
Subject(s) - mathematics , conjecture , combinatorics
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 p 3 divides xyz . In this paper, we give a proof of this conjecture.