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The nth root of a prime number cannot be the root of an equation of degree less than n with rational coefficients

Published online by Cambridge University Press:  20 January 2009

David Mair
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Suppose possible the relation

where n is an integer and a0, a1, …… an−1, p are rational.

If p is fractional ; then by multiplying throughout by a suitable integer we get a relation of the above form in which all symbols represent integers.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 19 , February 1900 , pp. 33
Copyright
Copyright © Edinburgh Mathematical Society 1900