Abstract
LetQ be a set of primes with density <1. An asymptotic is proved for the number of positive integers ≦x which do not have a prime divisor which is >y and belongs toQ.
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Erdös, P., Pomerance, A., Sárközy, A.: On locally repeated values of certain arithmetic functions. III. Proc. Amer. Math. Soc.101, 1–7 (1987).
Goldston, D. A., McCurley, K. S.: Sieving the positive integers by large primes. J. Number Theory28, 94–115 (1988).
Wirsing, E.: Über die Zahlen, deren Primteiler einer gegebenen Menge angehören, Arch. Math.7, 263–272 (1956).
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Warlimont, R. Sieving by large prime factors. Monatshefte für Mathematik 109, 247–256 (1990). https://doi.org/10.1007/BF01297764
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DOI: https://doi.org/10.1007/BF01297764