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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
Affiliation:
Trinity College, Cambridge

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
Copyright
Copyright © Cambridge Philosophical Society 1978

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References

REFERENCES

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