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On a problem of Recaman and its generalization
Authors:L Hajdu  N Saradha
Institution:a University of Debrecen, Institute of Mathematics, Debrecen, Hungary
b The Number Theory Research Group of the Hungarian Academy of Sciences, Debrecen, Hungary
c School of Mathematics, Tata Institute of Fundamental Research, Dr. Homibhabha Road, Colaba, Mumbai, India
Abstract:We solve some cases of a conjecture of Pomerance concerning reduced residue systems modulo k consisting of the first φ(k) primes not dividing k. We cover the case when k is a prime, thus giving a complete solution to a problem of Recaman.
Keywords:The problem of Recaman  The problem of Pomerance  Jacobsthal function  Primes in residue classes
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