Smooth values of some quadratic polynomials

Details Smooth values of some quadratic polynomials Smooth values of some quadratic polynomials

2010-05-10

arxiv.org/abs/1005.1535v1

Glasnik Mat. Ser III 45 (2010), 347-355

Mathematics

Number Theory

12 pages, to appear in Glas. Mat. Ser. III

Scientific paper

In this paper, using a method of Luca and the author, we find all values $x$
such that the quadratic polynomials $x^2+1,$ $x^2+4,$ $x^2+2$ and $x^2-2$ are
200-smooth and all values $x$ such that the quadratic polynomial $x^2-4$ is
100-smooth.

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