ISSN:
1588-2829
Keywords:
Linear recurrence
;
pure powers
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract In this paper we prove that the equation (2 n − 1)(6 n − 1) = x 2 has no solutions in positive integers n and x. Furthermore, the equation (a n − 1) (a kn − 1) = x 2 in positive integers a 〉 1, n, k 〉 1 (kn 〉 2) and x is also considered. We show that this equation has the only solutions (a,n,k,x) = (2,3,2,21), (3,1,5,22) and (7,1,4,120).
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1010335509489
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