Ramanujan and Labos Primes, Their Generalizations, and Classifications of Primes
Department of Mathematics
Ben-Gurion University of the Negev
We study the parallel properties of the Ramanujan primes and a
symmetric counterpart, the Labos primes. Further, we study all primes
with these properties (generalized Ramanujan and Labos primes) and
construct two kinds of sieves for them. Finally, we give a further
natural generalization of these constructions and pose some conjectures
and open problems.
Full version: pdf,
(Concerned with sequences
Received August 4 2011;
revised versions received September 7 2011; May 8 2012; May 16
Published in Journal of Integer Sequences, May 29 2012.
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