Using Conic Sections to Factor Integers.

Autor: Blecksmith, Richard, Brillhart, John, Decaro, Michael
Předmět:
Zdroj: American Mathematical Monthly; Feb2016, Vol. 123 Issue 2, p168-174, 7p
Abstrakt: This paper explores the factorization of an odd, composite integer N that has been expressed in two different ways as mx2 ± ny2. The negative case mx2 ± ny2 = N turns out to be quite different from the positive case mx2 + ny2 = N because it deals with a hyperbola instead of an ellipse. Of particular interest in the negative case is that Pell-connected representations produce trivial factorizations. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index