Abstract
In this paper, we find all solutions of the Diophantine equation x2 + C= yn in integers x, y ≥ 1, a, b, c ≥ 0, n ≥ 3, with gcd(x, y) = 1, when C= 2a3b17c and C = 2a13b17c.
The first author thanks FAP-DF and CNPq-Brazil for financial support.
The second author thanks FEMAT, FAP-DF and CNPq-Brazil for financial support.
The third author was partially supported by Purdue University Northwest.
Acknowledgement
The authors are grateful to the referee for helpful suggestions which improved the article.
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