Abstract
AbstractWe find all integer solutions to the equation
$x^2+5^a\cdot 13^b\cdot 17^c=y^n$
with
$a,\,b,\,c\geq 0$
,
$n\geq 3$
,
$x,\,y>0$
and
$\gcd (x,\,y)=1$
. Our proof uses a deep result about primitive divisors of Lucas sequences in combination with elementary number theory and computer search.
Publisher
Cambridge University Press (CUP)
Cited by
1 articles.
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