On The Generalized Ramanujan–Nagell Equation $$x^2+(2c-1)^m=c^n$$
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DOI: 10.1007/s10474-020-01085-8
Abstract: We show that if c is a positive integer satisfying $$2c-1=3p^l\ \hbox{or}\ 2c-1=5p^l$$ with p prime and l positive integer, then the equation $${x^2 + (2c-1)^m}=c^n$$ has only the positive integer solution $$(x,m,n)=(c-1,1,2)$$ without any… read more here.
Keywords: nagell equation; generalized ramanujan; ramanujan nagell; positive integer ... See more keywords