Almost-primes in arithmetic progressions and short intervals
- 1 January 1978
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 83 (3) , 357-375
- https://doi.org/10.1017/s0305004100054657
Abstract
In this paper we shall investigate the occurrence of almost-primes in arithmetic progressions and in short intervals. These problems correspond to two well-known conjectures concerning prime numbers. The first conjecture is that, if (l, k) = 1, there exists a prime p satisfyingKeywords
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