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Keywords:
diophantine equation; Fermat and Mersenne primes; Catalan conjecture
diophantine equation; Fermat and Mersenne primes; Catalan conjecture
Summary:
In this paper the special diophantine equation $\frac{q^{n}-1}{q-1}=y$ with integer coefficients is discussed and integer solutions are sought. This equation is solved completely just for four prime divisors of $y-1$.
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