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On the diophantine equations x2 + 74 = y5 and x2 + 86 = y5

Published online by Cambridge University Press:  18 May 2009

Maurice Mignotte
Affiliation:
Département de Mathématique, Université Louis Pasteur, 67084 Strasbourg Cedex, France
Benjamin M. M. de Weger
Affiliation:
Econometric Institute, Erasmus University Rotterdam, P.O. Box 1738, 3000 Rotterdam, The Netherlands
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Abstract

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J. H. E. Cohn solved the diophantine equations x2 + 74 = yn and x2 + 86 = yn, with the condition 5 ∤ n, by more or less elementary methods. We complete this work by solving these equations for 5 | n, by less elementary methods.

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1996

References

REFERENCES

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