ON THE DIOPHANTINE EQUATION 1+X+Y=Z, WITH XYZ=2(R)3(S)7(T)

Authors
ALEX LJ FOSTER LL
Citation
Lj. Alex et Ll. Foster, ON THE DIOPHANTINE EQUATION 1+X+Y=Z, WITH XYZ=2(R)3(S)7(T), Forum mathematicum, 7(6), 1995, pp. 645-663
Citations number
11
Categorie Soggetti
Mathematics,Mathematics,Mathematics
Journal title
Forum mathematicum → ACNP
ISSN journal
09337741
Volume
7
Issue
6
Year of publication
1995
Pages
645 - 663
Database
ISI
SICI code
0933-7741(1995)7:6<645:OTDE1W>2.0.ZU;2-1
Abstract
In this paper all solutions to the equation 1 + x + y = z, where x, y and z are positive integers such that xyz has the form 2(r)3(s)7(t), w ith r, s and t non-negative integers, are determined. This work extend s earlier work of the authors and J. L. Brenner in the field of expone ntial Diophantine equations.