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Generalized Cullen Numbers are positive integers of the form C b (n) := nb n + 1. In this work we generalize some known divisibility properties of Cullen Numbers and present two primality tests for this family of integers. The first test is based in the following property of primes from this family: n b n ≡ (−1) b (mod nb n + 1). It is stronger and has less… (More)

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