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A note on the diophantine equation x2 + 7 = yn

Published online by Cambridge University Press:  18 May 2009

Maohua Le
Maohua Le
Affiliation:
Department of Mathematics, Zhanjiang Teachers College, P. O. Box 524048, Zhanjiang, Guangdong, P.R., China
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Abstract

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In this note we prove that the equation x2 + 1 = yn, x, y, n ɛ ℕ, n>2, has no solutions (x, y, n)with 2 × y. Moreover, all solutions (x, y, n)of the equation with 2| y satisfy n < 5. 106 and y < exp exp exp 30.

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 39 , Issue 1 , January 1997, pp. 59 - 63
Copyright
Copyright © Glasgow Mathematical Journal Trust 1997

References

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