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math.NT2012★ 1 cited
On the Diophantine equation x^2+7^{alpha}.11^{beta}=y^n
Gokhan Soydan
In this paper, we give all the solutions of the Diophantine equation x^2+7^{alpha}.11^{beta}=y^n, in nonnegative integers x, y, n>=3 with x and y coprime, except for the case when…
math.NT2012★ 3 cited
On the Diophantine equation x^2+2^a.3^b.11^c=y^n
Ismail Naci Cangul, Musa Demirci, Ilker Inam +2
In this note, we find all the solutions of the Diophantine equation x^2 +2^a.3^b.11^c=y^n in nonnegative integers a, b, c, x, y, n>= 3 with x and y coprime.