MathDB
Pell equation

Source: Iran TST 2004

January 9, 2009
modular arithmeticnumber theory proposednumber theory

Problem Statement

Suppose that p p is a prime number. Prove that the equation x^2\minus{}py^2\equal{}\minus{}1 has a solution if and only if p≡1(mod4) p\equiv1\pmod 4.
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