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ON THE DISTRIBUTION OF ALMOST PRIMES IN AN ARITHMETIC PROGRESSION

ON THE DISTRIBUTION OF ALMOST PRIMES IN AN ARITHMETIC PROGRESSION

UCHIYAMA 1. Introduction.An almost prime is a positive integer the number of whose prime divisors is bounded by a certain constant.The purpose of this paper is to deal with an existence problem of almost primes in a short arithmetic progression of integers.We shall prove the following Theorem.Let $k$ and $l$ …