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Almost-primes in arithmetic progressions and short intervals

Published online by Cambridge University Press:  24 October 2008

D. R. Heath-Brown
D. R. Heath-Brown
Affiliation:
Trinity College, Cambridge
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Extract

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 satisfying

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 83 , Issue 3 , May 1978 , pp. 357 - 375
Copyright
Copyright © Cambridge Philosophical Society 1978

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References

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