MathDB
2012-2013 Winter OMO #42

Source:

January 16, 2013
Online Math Openmodular arithmeticquadraticsalgebrapolynomialPutnamnumber theory

Problem Statement

Find the remainder when i=0100(1i2+i4)\prod_{i=0}^{100}(1-i^2+i^4) is divided by 101101.
Victor Wang