Ramanujan and Labos primes, their generalizations and classifications of primes

Mathematics – Number Theory

Scientific paper

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15 pages

Scientific paper

Considering Ramanujan primes and the symmetric to them so-called Labos
primes, we study their parallel properties, 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.

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