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Refining the conditions on the Fermat quotient

Published online by Cambridge University Press:  24 October 2008

Andrew J. Granville
Andrew J. Granville
Affiliation:
Trinity College, Cambridge University
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Extract

The aim of this paper is to establish a result on a family of congruences arising from the Fermat quotient: this result has an interesting application to the Fermat problem. For over 150 years the Fermat problem has been divided into two cases; the First Case being the assertion that for each odd prime p,

has no solution in non-zero integers x, y, z. Kummer's work on ideal numbers led, in 1847, to the complete solution of the Fermat problem for regular primes.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 98 , Issue 1 , July 1985 , pp. 5 - 8
Copyright
Copyright © Cambridge Philosophical Society 1985

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References

REFERENCES

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