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Let p denote a prime. In this article we provide the first published lower bounds for the greatest prime factor of p − 1 exceeding (p − 1) 1 2 in which the constants are effectively computable. As a result we prove that it is possible to calculate a value x 0 such that for every x > x 0 there is a p < x with the greatest prime factor of p − 1 exceeding x 3… (More)

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