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On diophantine equations of the form $1 + 2^a = p^b q^c + 2^d p^e q^f$

On diophantine equations of the form $1 + 2^a = p^b q^c + 2^d p^e q^f$

In this paper several Diophantine equations of the form 1 + 2 a -p b q c + 2 d p e q f , where p and q are distinct odd primes, and the exponents are non-negative integers are solved.In particular this equation is solved for {p, q) = …